[libclc] 247/291: Implement atanpi builtin
Andreas Beckmann
anbe at moszumanska.debian.org
Tue Sep 8 10:53:55 UTC 2015
This is an automated email from the git hooks/post-receive script.
anbe pushed a commit to branch master
in repository libclc.
commit f1370e80357f01b2c588cf22924c1b75c63124c7
Author: Tom Stellard <thomas.stellard at amd.com>
Date: Thu Apr 2 17:01:58 2015 +0000
Implement atanpi builtin
This implementation was ported from the AMD builtin library
and has been tested with piglit, OpenCV, and the ocl conformance tests.
git-svn-id: https://llvm.org/svn/llvm-project/libclc/trunk@233928 91177308-0d34-0410-b5e6-96231b3b80d8
---
generic/include/clc/clc.h | 1 +
generic/include/clc/math/atanpi.h | 24 +++++
generic/include/clc/math/atanpi.inc | 23 +++++
generic/lib/SOURCES | 1 +
generic/lib/math/atanpi.cl | 182 ++++++++++++++++++++++++++++++++++++
5 files changed, 231 insertions(+)
diff --git a/generic/include/clc/clc.h b/generic/include/clc/clc.h
index d55c0e6..3c76978 100644
--- a/generic/include/clc/clc.h
+++ b/generic/include/clc/clc.h
@@ -39,6 +39,7 @@
#include <clc/math/asinpi.h>
#include <clc/math/atan.h>
#include <clc/math/atan2.h>
+#include <clc/math/atanpi.h>
#include <clc/math/copysign.h>
#include <clc/math/cos.h>
#include <clc/math/cospi.h>
diff --git a/generic/include/clc/math/atanpi.h b/generic/include/clc/math/atanpi.h
new file mode 100644
index 0000000..ada3fbe
--- /dev/null
+++ b/generic/include/clc/math/atanpi.h
@@ -0,0 +1,24 @@
+/*
+ * Copyright (c) 2014, 2015 Advanced Micro Devices, Inc.
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to deal
+ * in the Software without restriction, including without limitation the rights
+ * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+ * copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in
+ * all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+ * THE SOFTWARE.
+ */
+
+#define __CLC_BODY <clc/math/atanpi.inc>
+#include <clc/math/gentype.inc>
diff --git a/generic/include/clc/math/atanpi.inc b/generic/include/clc/math/atanpi.inc
new file mode 100644
index 0000000..e97c806
--- /dev/null
+++ b/generic/include/clc/math/atanpi.inc
@@ -0,0 +1,23 @@
+/*
+ * Copyright (c) 2014, 2015 Advanced Micro Devices, Inc.
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to deal
+ * in the Software without restriction, including without limitation the rights
+ * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+ * copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in
+ * all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+ * THE SOFTWARE.
+ */
+
+_CLC_OVERLOAD _CLC_DECL __CLC_GENTYPE atanpi(__CLC_GENTYPE x);
diff --git a/generic/lib/SOURCES b/generic/lib/SOURCES
index 1aadebf..beaa7e2 100644
--- a/generic/lib/SOURCES
+++ b/generic/lib/SOURCES
@@ -66,6 +66,7 @@ math/asinh.cl
math/asinpi.cl
math/atan.cl
math/atan2.cl
+math/atanpi.cl
math/copysign.cl
math/cos.cl
math/cospi.cl
diff --git a/generic/lib/math/atanpi.cl b/generic/lib/math/atanpi.cl
new file mode 100644
index 0000000..2e2f032
--- /dev/null
+++ b/generic/lib/math/atanpi.cl
@@ -0,0 +1,182 @@
+/*
+ * Copyright (c) 2014,2015 Advanced Micro Devices, Inc.
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to deal
+ * in the Software without restriction, including without limitation the rights
+ * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+ * copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in
+ * all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+ * THE SOFTWARE.
+ */
+
+#include <clc/clc.h>
+
+#include "math.h"
+#include "../clcmacro.h"
+
+_CLC_OVERLOAD _CLC_DEF float atanpi(float x) {
+ const float pi = 3.1415926535897932f;
+
+ uint ux = as_uint(x);
+ uint aux = ux & EXSIGNBIT_SP32;
+ uint sx = ux ^ aux;
+
+ float xbypi = MATH_DIVIDE(x, pi);
+ float shalf = as_float(sx | as_uint(0.5f));
+
+ float v = as_float(aux);
+
+ // Return for NaN
+ float ret = x;
+
+ // 2^26 <= |x| <= Inf => atan(x) is close to piby2
+ ret = aux <= PINFBITPATT_SP32 ? shalf : ret;
+
+ // Reduce arguments 2^-19 <= |x| < 2^26
+
+ // 39/16 <= x < 2^26
+ x = -MATH_RECIP(v);
+ float c = 1.57079632679489655800f; // atan(infinity)
+
+ // 19/16 <= x < 39/16
+ int l = aux < 0x401c0000;
+ float xx = MATH_DIVIDE(v - 1.5f, mad(v, 1.5f, 1.0f));
+ x = l ? xx : x;
+ c = l ? 9.82793723247329054082e-01f : c; // atan(1.5)
+
+ // 11/16 <= x < 19/16
+ l = aux < 0x3f980000U;
+ xx = MATH_DIVIDE(v - 1.0f, 1.0f + v);
+ x = l ? xx : x;
+ c = l ? 7.85398163397448278999e-01f : c; // atan(1)
+
+ // 7/16 <= x < 11/16
+ l = aux < 0x3f300000;
+ xx = MATH_DIVIDE(mad(v, 2.0f, -1.0f), 2.0f + v);
+ x = l ? xx : x;
+ c = l ? 4.63647609000806093515e-01f : c; // atan(0.5)
+
+ // 2^-19 <= x < 7/16
+ l = aux < 0x3ee00000;
+ x = l ? v : x;
+ c = l ? 0.0f : c;
+
+ // Core approximation: Remez(2,2) on [-7/16,7/16]
+
+ float s = x * x;
+ float a = mad(s,
+ mad(s, 0.470677934286149214138357545549e-2f, 0.192324546402108583211697690500f),
+ 0.296528598819239217902158651186f);
+
+ float b = mad(s,
+ mad(s, 0.299309699959659728404442796915f, 0.111072499995399550138837673349e1f),
+ 0.889585796862432286486651434570f);
+
+ float q = x * s * MATH_DIVIDE(a, b);
+
+ float z = c - (q - x);
+ z = MATH_DIVIDE(z, pi);
+ float zs = as_float(sx | as_uint(z));
+
+ ret = aux < 0x4c800000 ? zs : ret;
+
+ // |x| < 2^-19
+ ret = aux < 0x36000000 ? xbypi : ret;
+ return ret;
+}
+
+_CLC_UNARY_VECTORIZE(_CLC_OVERLOAD _CLC_DEF, float, atanpi, float)
+
+#ifdef cl_khr_fp64
+#pragma OPENCL EXTENSION cl_khr_fp64 : enable
+
+_CLC_OVERLOAD _CLC_DEF double atanpi(double x) {
+ const double pi = 0x1.921fb54442d18p+1;
+
+ double v = fabs(x);
+
+ // 2^56 > v > 39/16
+ double a = -1.0;
+ double b = v;
+ // (chi + clo) = arctan(infinity)
+ double chi = 1.57079632679489655800e+00;
+ double clo = 6.12323399573676480327e-17;
+
+ double ta = v - 1.5;
+ double tb = 1.0 + 1.5 * v;
+ int l = v <= 0x1.38p+1; // 39/16 > v > 19/16
+ a = l ? ta : a;
+ b = l ? tb : b;
+ // (chi + clo) = arctan(1.5)
+ chi = l ? 9.82793723247329054082e-01 : chi;
+ clo = l ? 1.39033110312309953701e-17 : clo;
+
+ ta = v - 1.0;
+ tb = 1.0 + v;
+ l = v <= 0x1.3p+0; // 19/16 > v > 11/16
+ a = l ? ta : a;
+ b = l ? tb : b;
+ // (chi + clo) = arctan(1.)
+ chi = l ? 7.85398163397448278999e-01 : chi;
+ clo = l ? 3.06161699786838240164e-17 : clo;
+
+ ta = 2.0 * v - 1.0;
+ tb = 2.0 + v;
+ l = v <= 0x1.6p-1; // 11/16 > v > 7/16
+ a = l ? ta : a;
+ b = l ? tb : b;
+ // (chi + clo) = arctan(0.5)
+ chi = l ? 4.63647609000806093515e-01 : chi;
+ clo = l ? 2.26987774529616809294e-17 : clo;
+
+ l = v <= 0x1.cp-2; // v < 7/16
+ a = l ? v : a;
+ b = l ? 1.0 : b;;
+ chi = l ? 0.0 : chi;
+ clo = l ? 0.0 : clo;
+
+ // Core approximation: Remez(4,4) on [-7/16,7/16]
+ double r = a / b;
+ double s = r * r;
+ double qn = fma(s,
+ fma(s,
+ fma(s,
+ fma(s, 0.142316903342317766e-3,
+ 0.304455919504853031e-1),
+ 0.220638780716667420e0),
+ 0.447677206805497472e0),
+ 0.268297920532545909e0);
+
+ double qd = fma(s,
+ fma(s,
+ fma(s,
+ fma(s, 0.389525873944742195e-1,
+ 0.424602594203847109e0),
+ 0.141254259931958921e1),
+ 0.182596787737507063e1),
+ 0.804893761597637733e0);
+
+ double q = r * s * qn / qd;
+ r = (chi - ((q - clo) - r)) / pi;
+ double vp = v / pi;
+
+ double z = isnan(x) ? x : 0.5;
+ z = v <= 0x1.0p+56 ? r : z;
+ z = v < 0x1.0p-26 ? vp : z;
+ return x == v ? z : -z;
+}
+
+_CLC_UNARY_VECTORIZE(_CLC_OVERLOAD _CLC_DEF, double, atanpi, double)
+
+#endif
--
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