/* * 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 #include "math.h" #include "sincos_helpers.h" #include "sincospiF_piby4.h" #include "../clcmacro.h" #ifdef cl_khr_fp64 #include "sincosD_piby4.h" #endif _CLC_OVERLOAD _CLC_DEF float cospi(float x) { int ix = as_int(x) & 0x7fffffff; float ax = as_float(ix); int iax = (int)ax; float r = ax - iax; int xodd = iax & 0x1 ? 0x80000000 : 0; // Initialize with return for +-Inf and NaN int ir = 0x7fc00000; // 2^24 <= |x| < Inf, the result is always even integer ir = ix < 0x7f800000 ? 0x3f800000 : ir; // 2^23 <= |x| < 2^24, the result is always integer ir = ix < 0x4b800000 ? xodd | 0x3f800000 : ir; // 0x1.0p-7 <= |x| < 2^23, result depends on which 0.25 interval // r < 1.0 float a = 1.0f - r; int e = 1; int s = xodd ^ 0x80000000; // r <= 0.75 int c = r <= 0.75f; a = c ? r - 0.5f : a; e = c ? 0 : e; // r < 0.5 c = r < 0.5f; a = c ? 0.5f - r : a; s = c ? xodd : s; // r <= 0.25 c = r <= 0.25f; a = c ? r : a; e = c ? 1 : e; float2 t = __libclc__sincosf_piby4(a * M_PI_F); int jr = s ^ as_int(e ? t.hi : t.lo); ir = ix < 0x4b000000 ? jr : ir; return as_float(ir); } _CLC_UNARY_VECTORIZE(_CLC_OVERLOAD _CLC_DEF, float, cospi, float); #ifdef cl_khr_fp64 #pragma OPENCL EXTENSION cl_khr_fp64 : enable _CLC_OVERLOAD _CLC_DEF double cospi(double x) { long ix = as_long(x) & 0x7fffffffffffffffL; double ax = as_double(ix); long iax = (long)ax; double r = ax - (double)iax; long xodd = iax & 0x1L ? 0x8000000000000000L : 0L; // Initialize with return for +-Inf and NaN long ir = 0x7ff8000000000000L; // 2^53 <= |x| < Inf, the result is always even integer ir = ix < 0x7ff0000000000000 ? 0x3ff0000000000000L : ir; // 2^52 <= |x| < 2^53, the result is always integer ir = ax < 0x1.0p+53 ? xodd | 0x3ff0000000000000L : ir; // 0x1.0p-7 <= |x| < 2^52, result depends on which 0.25 interval // r < 1.0 double a = 1.0 - r; int e = 1; long s = xodd ^ 0x8000000000000000L; // r <= 0.75 int c = r <= 0.75; double t = r - 0.5; a = c ? t : a; e = c ? 0 : e; // r < 0.5 c = r < 0.5; t = 0.5 - r; a = c ? t : a; s = c ? xodd : s; // r <= 0.25 c = r <= 0.25; a = c ? r : a; e = c ? 1 : e; double2 sc = __libclc__sincos_piby4(a * M_PI, 0.0); long jr = s ^ as_long(e ? sc.hi : sc.lo); ir = ax < 0x1.0p+52 ? jr : ir; return as_double(ir); } _CLC_UNARY_VECTORIZE(_CLC_OVERLOAD _CLC_DEF, double, cospi, double); #endif