diff options
author | Tom Stellard <thomas.stellard@amd.com> | 2015-04-02 17:01:58 +0000 |
---|---|---|
committer | Tom Stellard <thomas.stellard@amd.com> | 2015-04-02 17:01:58 +0000 |
commit | f1370e80357f01b2c588cf22924c1b75c63124c7 (patch) | |
tree | 60d47c5ec39b3244f53db7cd82731c699bd2cc87 | |
parent | 849d9e30bbfb9aec08620d65b886aa7a81134b5c (diff) |
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
-rw-r--r-- | generic/include/clc/clc.h | 1 | ||||
-rw-r--r-- | generic/include/clc/math/atanpi.h | 24 | ||||
-rw-r--r-- | generic/include/clc/math/atanpi.inc | 23 | ||||
-rw-r--r-- | generic/lib/SOURCES | 1 | ||||
-rw-r--r-- | generic/lib/math/atanpi.cl | 182 |
5 files changed, 231 insertions, 0 deletions
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 |