[libclc] 03/06: math: Implement sinh function

Andreas Boll aboll-guest at moszumanska.debian.org
Thu Mar 30 10:23:09 UTC 2017


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aboll-guest pushed a commit to branch master
in repository libclc.

commit 17648cd846390e294feafef21c32c7106eac1e24
Author: Jan Vesely <jan.vesely at rutgers.edu>
Date:   Sat Feb 25 02:46:53 2017 +0000

    math: Implement sinh function
    
    mostly copied form amd_builtins
    
    git-svn-id: https://llvm.org/svn/llvm-project/libclc/trunk@296233 91177308-0d34-0410-b5e6-96231b3b80d8
---
 generic/include/clc/clc.h         |   1 +
 generic/include/clc/math/sinh.h   |  24 +++++
 generic/include/clc/math/sinh.inc |  23 +++++
 generic/lib/SOURCES               |   1 +
 generic/lib/math/sinh.cl          | 191 ++++++++++++++++++++++++++++++++++++++
 5 files changed, 240 insertions(+)

diff --git a/generic/include/clc/clc.h b/generic/include/clc/clc.h
index da526b2..bf4b01d 100644
--- a/generic/include/clc/clc.h
+++ b/generic/include/clc/clc.h
@@ -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>
diff --git a/generic/include/clc/math/sinh.h b/generic/include/clc/math/sinh.h
new file mode 100644
index 0000000..a9087dc
--- /dev/null
+++ b/generic/include/clc/math/sinh.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/sinh.inc>
+#include <clc/math/gentype.inc>
diff --git a/generic/include/clc/math/sinh.inc b/generic/include/clc/math/sinh.inc
new file mode 100644
index 0000000..88bb255
--- /dev/null
+++ b/generic/include/clc/math/sinh.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 sinh(__CLC_GENTYPE x);
diff --git a/generic/lib/SOURCES b/generic/lib/SOURCES
index 517daba..9e0157b 100644
--- a/generic/lib/SOURCES
+++ b/generic/lib/SOURCES
@@ -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
diff --git a/generic/lib/math/sinh.cl b/generic/lib/math/sinh.cl
new file mode 100644
index 0000000..9159b89
--- /dev/null
+++ b/generic/lib/math/sinh.cl
@@ -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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