[libclc] r296233 - math: Implement sinh function
Jan Vesely via cfe-commits
cfe-commits at lists.llvm.org
Fri Feb 24 18:46:54 PST 2017
Author: jvesely
Date: Fri Feb 24 20:46:53 2017
New Revision: 296233
URL: http://llvm.org/viewvc/llvm-project?rev=296233&view=rev
Log:
math: Implement sinh function
mostly copied form amd_builtins
Added:
libclc/trunk/generic/include/clc/math/sinh.h
libclc/trunk/generic/include/clc/math/sinh.inc
libclc/trunk/generic/lib/math/sinh.cl
Modified:
libclc/trunk/generic/include/clc/clc.h
libclc/trunk/generic/lib/SOURCES
Modified: libclc/trunk/generic/include/clc/clc.h
URL: http://llvm.org/viewvc/llvm-project/libclc/trunk/generic/include/clc/clc.h?rev=296233&r1=296232&r2=296233&view=diff
==============================================================================
--- libclc/trunk/generic/include/clc/clc.h (original)
+++ libclc/trunk/generic/include/clc/clc.h Fri Feb 24 20:46:53 2017
@@ -86,6 +86,7 @@
#include <clc/math/round.h>
#include <clc/math/sin.h>
#include <clc/math/sincos.h>
+#include <clc/math/sinh.h>
#include <clc/math/sinpi.h>
#include <clc/math/sqrt.h>
#include <clc/math/tan.h>
Added: libclc/trunk/generic/include/clc/math/sinh.h
URL: http://llvm.org/viewvc/llvm-project/libclc/trunk/generic/include/clc/math/sinh.h?rev=296233&view=auto
==============================================================================
--- libclc/trunk/generic/include/clc/math/sinh.h (added)
+++ libclc/trunk/generic/include/clc/math/sinh.h Fri Feb 24 20:46:53 2017
@@ -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/sinh.inc>
+#include <clc/math/gentype.inc>
Added: libclc/trunk/generic/include/clc/math/sinh.inc
URL: http://llvm.org/viewvc/llvm-project/libclc/trunk/generic/include/clc/math/sinh.inc?rev=296233&view=auto
==============================================================================
--- libclc/trunk/generic/include/clc/math/sinh.inc (added)
+++ libclc/trunk/generic/include/clc/math/sinh.inc Fri Feb 24 20:46:53 2017
@@ -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 sinh(__CLC_GENTYPE x);
Modified: libclc/trunk/generic/lib/SOURCES
URL: http://llvm.org/viewvc/llvm-project/libclc/trunk/generic/lib/SOURCES?rev=296233&r1=296232&r2=296233&view=diff
==============================================================================
--- libclc/trunk/generic/lib/SOURCES (original)
+++ libclc/trunk/generic/lib/SOURCES Fri Feb 24 20:46:53 2017
@@ -116,6 +116,7 @@ math/pown.cl
math/sin.cl
math/sincos.cl
math/sincos_helpers.cl
+math/sinh.cl
math/sinpi.cl
math/clc_sqrt.cl
math/sqrt.cl
Added: libclc/trunk/generic/lib/math/sinh.cl
URL: http://llvm.org/viewvc/llvm-project/libclc/trunk/generic/lib/math/sinh.cl?rev=296233&view=auto
==============================================================================
--- libclc/trunk/generic/lib/math/sinh.cl (added)
+++ libclc/trunk/generic/lib/math/sinh.cl Fri Feb 24 20:46:53 2017
@@ -0,0 +1,191 @@
+/*
+ * 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 <clc/clc.h>
+
+#include "math.h"
+#include "tables.h"
+#include "../clcmacro.h"
+
+_CLC_OVERLOAD _CLC_DEF float sinh(float x)
+{
+ // After dealing with special cases the computation is split into regions as follows.
+ // abs(x) >= max_sinh_arg:
+ // sinh(x) = sign(x)*Inf
+ // abs(x) >= small_threshold:
+ // sinh(x) = sign(x)*exp(abs(x))/2 computed using the splitexp and scaleDouble functions as for exp_amd().
+ // abs(x) < small_threshold:
+ // compute p = exp(y) - 1 and then z = 0.5*(p+(p/(p+1.0)))
+ // sinh(x) is then sign(x)*z.
+
+ const float max_sinh_arg = 0x1.65a9fap+6f;
+ const float small_threshold = 0x1.0a2b24p+3f;
+
+ uint ux = as_uint(x);
+ uint aux = ux & EXSIGNBIT_SP32;
+ uint xs = ux ^ aux;
+ float y = as_float(aux);
+
+ // We find the integer part y0 of y and the increment dy = y - y0. We then compute
+ // z = sinh(y) = sinh(y0)cosh(dy) + cosh(y0)sinh(dy)
+ // where sinh(y0) and cosh(y0) are tabulated above.
+ int ind = (int) y;
+ ind = (uint)ind > 36U ? 0 : ind;
+
+ float dy = y - ind;
+ float dy2 = dy * dy;
+
+ float sdy = mad(dy2,
+ mad(dy2,
+ mad(dy2,
+ mad(dy2,
+ mad(dy2,
+ mad(dy2, 0.7746188980094184251527126e-12f, 0.160576793121939886190847e-9f),
+ 0.250521176994133472333666e-7f),
+ 0.275573191913636406057211e-5f),
+ 0.198412698413242405162014e-3f),
+ 0.833333333333329931873097e-2f),
+ 0.166666666666666667013899e0f);
+ sdy = mad(sdy, dy*dy2, dy);
+
+ float cdy = mad(dy2,
+ mad(dy2,
+ mad(dy2,
+ mad(dy2,
+ mad(dy2,
+ mad(dy2, 0.1163921388172173692062032e-10f, 0.208744349831471353536305e-8f),
+ 0.275573350756016588011357e-6f),
+ 0.248015872460622433115785e-4f),
+ 0.138888888889814854814536e-2f),
+ 0.416666666666660876512776e-1f),
+ 0.500000000000000005911074e0f);
+ cdy = mad(cdy, dy2, 1.0f);
+
+ float2 tv = USE_TABLE(sinhcosh_tbl, ind);
+ float z = mad(tv.s1, sdy, tv.s0 * cdy);
+ z = as_float(xs | as_uint(z));
+
+ // When y is large enough so that the negative exponential is negligible,
+ // so sinh(y) is approximated by sign(x)*exp(y)/2.
+ float t = exp(y - 0x1.62e500p-1f);
+ float zsmall = mad(0x1.a0210ep-18f, t, t);
+ zsmall = as_float(xs | as_uint(zsmall));
+ z = y >= small_threshold ? zsmall : z;
+
+ // Corner cases
+ float zinf = as_float(PINFBITPATT_SP32 | xs);
+ z = y >= max_sinh_arg ? zinf : z;
+ z = aux > PINFBITPATT_SP32 | aux < 0x38800000U ? x : z;
+
+ return z;
+}
+
+_CLC_UNARY_VECTORIZE(_CLC_OVERLOAD _CLC_DEF, float, sinh, float);
+
+#ifdef cl_khr_fp64
+#pragma OPENCL EXTENSION cl_khr_fp64 : enable
+
+_CLC_OVERLOAD _CLC_DEF double sinh(double x)
+{
+ // After dealing with special cases the computation is split into
+ // regions as follows:
+ //
+ // abs(x) >= max_sinh_arg:
+ // sinh(x) = sign(x)*Inf
+ //
+ // abs(x) >= small_threshold:
+ // sinh(x) = sign(x)*exp(abs(x))/2 computed using the
+ // splitexp and scaleDouble functions as for exp_amd().
+ //
+ // abs(x) < small_threshold:
+ // compute p = exp(y) - 1 and then z = 0.5*(p+(p/(p+1.0)))
+ // sinh(x) is then sign(x)*z.
+
+ const double max_sinh_arg = 7.10475860073943977113e+02; // 0x408633ce8fb9f87e
+
+ // This is where exp(-x) is insignificant compared to exp(x) = ln(2^27)
+ const double small_threshold = 0x1.2b708872320e2p+4;
+
+ double y = fabs(x);
+
+ // In this range we find the integer part y0 of y
+ // and the increment dy = y - y0. We then compute
+ // z = sinh(y) = sinh(y0)cosh(dy) + cosh(y0)sinh(dy)
+ // where sinh(y0) and cosh(y0) are obtained from tables
+
+ int ind = min((int)y, 36);
+ double dy = y - ind;
+ double dy2 = dy * dy;
+
+ double sdy = dy * dy2 *
+ fma(dy2,
+ fma(dy2,
+ fma(dy2,
+ fma(dy2,
+ fma(dy2,
+ fma(dy2, 0.7746188980094184251527126e-12, 0.160576793121939886190847e-9),
+ 0.250521176994133472333666e-7),
+ 0.275573191913636406057211e-5),
+ 0.198412698413242405162014e-3),
+ 0.833333333333329931873097e-2),
+ 0.166666666666666667013899e0);
+
+ double cdy = dy2 * fma(dy2,
+ fma(dy2,
+ fma(dy2,
+ fma(dy2,
+ fma(dy2,
+ fma(dy2, 0.1163921388172173692062032e-10, 0.208744349831471353536305e-8),
+ 0.275573350756016588011357e-6),
+ 0.248015872460622433115785e-4),
+ 0.138888888889814854814536e-2),
+ 0.416666666666660876512776e-1),
+ 0.500000000000000005911074e0);
+
+ // At this point sinh(dy) is approximated by dy + sdy.
+ // Shift some significant bits from dy to sdy.
+ double sdy1 = as_double(as_ulong(dy) & 0xfffffffff8000000UL);
+ double sdy2 = sdy + (dy - sdy1);
+
+ double2 tv = USE_TABLE(cosh_tbl, ind);
+ double cl = tv.s0;
+ double ct = tv.s1;
+ tv = USE_TABLE(sinh_tbl, ind);
+ double sl = tv.s0;
+ double st = tv.s1;
+
+ double z = fma(cl, sdy1, fma(sl, cdy, fma(cl, sdy2, fma(ct, sdy1, fma(st, cdy, ct*sdy2)) + st))) + sl;
+
+ // Other cases
+ z = (y < 0x1.0p-28) | isnan(x) | isinf(x) ? y : z;
+
+ double t = exp(y - 0x1.62e42fefa3800p-1);
+ t = fma(t, -0x1.ef35793c76641p-45, t);
+ z = y >= small_threshold ? t : z;
+ z = y >= max_sinh_arg ? as_double(PINFBITPATT_DP64) : z;
+
+ return copysign(z, x);
+}
+
+_CLC_UNARY_VECTORIZE(_CLC_OVERLOAD _CLC_DEF, double, sinh, double)
+
+#endif
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