sinh() wipsinh-implementation

currently just a renamed copy-paste of cosh() implementation.

Signed-off-by: Edward O'Callaghan <funfunctor@folklore1984.net>

1 files changed, 193 insertions, 0 deletions

diff --git a/generic/lib/math/sinh.cl b/generic/lib/math/sinh.cl
new file mode 100644
index 0000000..78c3cb2
--- /dev/null
+++ b/generic/lib/math/sinh.cl
@@ -0,0 +1,193 @@
+/*
+ * Copyright (c) 2014,2015 Advanced Micro Devices, Inc.
+ * Copyright (c) 2016 Edward O'Callaghan <funfunctor@folklore1984.net>
+ *
+ * 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:
+    // cosh(x) = sign(x)*Inf
+    // abs(x) >= small_threshold:
+    // cosh(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)))
+    // cosh(x) is then 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;
+    float y = as_float(aux);
+
+    // 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)
+    // z = cosh(y) = cosh(y0)cosh(dy) + sinh(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.s0, sdy, tv.s1 * cdy);
+
+    // When exp(-x) is insignificant compared to exp(x), return exp(x)/2
+    float t = exp(y - 0x1.62e500p-1f);
+    float zsmall = mad(0x1.a0210ep-18f, t, t);
+    z = y >= small_threshold ? zsmall : z;
+
+    // Corner cases
+    z = y >= max_sinh_arg ? as_float(PINFBITPATT_SP32) : z;
+    z = aux > PINFBITPATT_SP32 ? as_float(QNANBITPATT_SP32) : z;
+    z = aux < 0x38800000 ? 1.0f : 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:
+    // cosh(x) = sign(x)*Inf
+    //
+    // abs(x) >= small_threshold:
+    // cosh(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)))
+    // cosh(x) is then sign(x)*z.
+
+    // This is ln(2^1025)
+    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 = cosh(y) = cosh(y0)cosh(dy) + sinh(y0)sinh(dy)
+    // where sinh(y0) and cosh(y0) are tabulated above.
+
+    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,
+    // and cosh(dy) is approximated by 1 + cdy.
+    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(sl, dy, fma(sl, sdy, fma(cl, cdy, fma(st, dy, fma(st, sdy, ct*cdy)) + ct))) + cl;
+
+    // Other cases
+    z = y < 0x1.0p-28 ? 1.0 : 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;
+
+    z = isinf(x) | isnan(x) ? y : z;
+
+    return z;
+
+}
+
+_CLC_UNARY_VECTORIZE(_CLC_OVERLOAD _CLC_DEF, double, sinh, double)
+
+#endif