[libclc] 164/291: Implement atan builtin
Andreas Beckmann
anbe at moszumanska.debian.org
Tue Sep 8 10:53:45 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 1eda8fd034d3b00a2b769ef2174b15b94b93b3e6
Author: Tom Stellard <thomas.stellard at amd.com>
Date: Wed Jul 23 15:16:13 2014 +0000
Implement atan builtin
git-svn-id: https://llvm.org/svn/llvm-project/libclc/trunk@213759 91177308-0d34-0410-b5e6-96231b3b80d8
---
generic/include/clc/clc.h | 1 +
generic/include/clc/math/atan.h | 24 +++++
generic/include/clc/math/atan.inc | 23 +++++
generic/lib/SOURCES | 1 +
generic/lib/math/atan.cl | 183 ++++++++++++++++++++++++++++++++++++++
generic/lib/math/math.h | 64 +++++++++++++
6 files changed, 296 insertions(+)
diff --git a/generic/include/clc/clc.h b/generic/include/clc/clc.h
index c280798..b1a8a0e 100644
--- a/generic/include/clc/clc.h
+++ b/generic/include/clc/clc.h
@@ -32,6 +32,7 @@
#include <clc/workitem/get_group_id.h>
/* 6.11.2 Math Functions */
+#include <clc/math/atan.h>
#include <clc/math/cos.h>
#include <clc/math/ceil.h>
#include <clc/math/exp.h>
diff --git a/generic/include/clc/math/atan.h b/generic/include/clc/math/atan.h
new file mode 100644
index 0000000..d969719
--- /dev/null
+++ b/generic/include/clc/math/atan.h
@@ -0,0 +1,24 @@
+/*
+ * Copyright (c) 2014 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/atan.inc>
+#include <clc/math/gentype.inc>
diff --git a/generic/include/clc/math/atan.inc b/generic/include/clc/math/atan.inc
new file mode 100644
index 0000000..d217c95
--- /dev/null
+++ b/generic/include/clc/math/atan.inc
@@ -0,0 +1,23 @@
+/*
+ * Copyright (c) 2014 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 atan(__CLC_GENTYPE a);
diff --git a/generic/lib/SOURCES b/generic/lib/SOURCES
index 9d678b2..6b767c9 100644
--- a/generic/lib/SOURCES
+++ b/generic/lib/SOURCES
@@ -27,6 +27,7 @@ integer/sub_sat.cl
integer/sub_sat_if.ll
integer/sub_sat_impl.ll
integer/upsample.cl
+math/atan.cl
math/exp.cl
math/exp10.cl
math/fmax.cl
diff --git a/generic/lib/math/atan.cl b/generic/lib/math/atan.cl
new file mode 100644
index 0000000..fa3633c
--- /dev/null
+++ b/generic/lib/math/atan.cl
@@ -0,0 +1,183 @@
+/*
+ * Copyright (c) 2014 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 "math.h"
+#include "../clcmacro.h"
+
+#include <clc/clc.h>
+
+_CLC_OVERLOAD _CLC_DEF float atan(float x)
+{
+ const float piby2 = 1.5707963267948966f; // 0x3ff921fb54442d18
+
+ uint ux = as_uint(x);
+ uint aux = ux & EXSIGNBIT_SP32;
+ uint sx = ux ^ aux;
+
+ float spiby2 = as_float(sx | as_uint(piby2));
+
+ 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 ? spiby2 : 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);
+ float zs = as_float(sx | as_uint(z));
+
+ ret = aux < 0x4c800000 ? zs : ret;
+
+ // |x| < 2^-19
+ ret = aux < 0x36000000 ? as_float(ux) : ret;
+ return ret;
+}
+
+_CLC_UNARY_VECTORIZE(_CLC_OVERLOAD _CLC_DEF, float, atan, float);
+
+#ifdef cl_khr_fp64
+
+#pragma OPENCL EXTENSION cl_khr_fp64 : enable
+
+
+_CLC_OVERLOAD _CLC_DEF double atan(double x)
+{
+ const double piby2 = 1.5707963267948966e+00; // 0x3ff921fb54442d18
+
+ 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);
+
+ double z = isnan(x) ? x : piby2;
+ z = v <= 0x1.0p+56 ? r : z;
+ z = v < 0x1.0p-26 ? v : z;
+ return x == v ? z : -z;
+}
+
+_CLC_UNARY_VECTORIZE(_CLC_OVERLOAD _CLC_DEF, double, atan, double);
+
+#endif // cl_khr_fp64
diff --git a/generic/lib/math/math.h b/generic/lib/math/math.h
new file mode 100644
index 0000000..53ed38a
--- /dev/null
+++ b/generic/lib/math/math.h
@@ -0,0 +1,64 @@
+/*
+ * Copyright (c) 2014 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 SNAN 0x001
+#define QNAN 0x002
+#define NINF 0x004
+#define NNOR 0x008
+#define NSUB 0x010
+#define NZER 0x020
+#define PZER 0x040
+#define PSUB 0x080
+#define PNOR 0x100
+#define PINF 0x200
+
+#define HAVE_HW_FMA32() (1)
+#define HAVE_BITALIGN() (0)
+#define HAVE_FAST_FMA32() (0)
+
+#define MATH_DIVIDE(X, Y) ((X) / (Y))
+#define MATH_RECIP(X) (1.0f / (X))
+#define MATH_SQRT(X) sqrt(X)
+
+#define SIGNBIT_SP32 0x80000000
+#define EXSIGNBIT_SP32 0x7fffffff
+#define EXPBITS_SP32 0x7f800000
+#define MANTBITS_SP32 0x007fffff
+#define ONEEXPBITS_SP32 0x3f800000
+#define TWOEXPBITS_SP32 0x40000000
+#define HALFEXPBITS_SP32 0x3f000000
+#define IMPBIT_SP32 0x00800000
+#define QNANBITPATT_SP32 0x7fc00000
+#define INDEFBITPATT_SP32 0xffc00000
+#define PINFBITPATT_SP32 0x7f800000
+#define NINFBITPATT_SP32 0xff800000
+#define EXPBIAS_SP32 127
+#define EXPSHIFTBITS_SP32 23
+#define BIASEDEMIN_SP32 1
+#define EMIN_SP32 -126
+#define BIASEDEMAX_SP32 254
+#define EMAX_SP32 127
+#define LAMBDA_SP32 1.0e30
+#define MANTLENGTH_SP32 24
+#define BASEDIGITS_SP32 7
+
+#define ALIGNED(x) __attribute__((aligned(x)))
--
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