1/* 2 * Copyright (c) 2014 Advanced Micro Devices, Inc. 3 * 4 * Permission is hereby granted, free of charge, to any person obtaining a copy 5 * of this software and associated documentation files (the "Software"), to deal 6 * in the Software without restriction, including without limitation the rights 7 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 8 * copies of the Software, and to permit persons to whom the Software is 9 * furnished to do so, subject to the following conditions: 10 * 11 * The above copyright notice and this permission notice shall be included in 12 * all copies or substantial portions of the Software. 13 * 14 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 15 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 16 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 17 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER 18 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, 19 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN 20 * THE SOFTWARE. 21 */ 22 23#include <clc/clc.h> 24 25#include "math.h" 26#include "sincos_helpers.h" 27#include "sincospiF_piby4.h" 28#include "../clcmacro.h" 29#ifdef cl_khr_fp64 30#include "sincosD_piby4.h" 31#endif 32 33_CLC_OVERLOAD _CLC_DEF float cospi(float x) 34{ 35 int ix = as_int(x) & 0x7fffffff; 36 float ax = as_float(ix); 37 int iax = (int)ax; 38 float r = ax - iax; 39 int xodd = iax & 0x1 ? 0x80000000 : 0; 40 41 // Initialize with return for +-Inf and NaN 42 int ir = 0x7fc00000; 43 44 // 2^24 <= |x| < Inf, the result is always even integer 45 ir = ix < 0x7f800000 ? 0x3f800000 : ir; 46 47 // 2^23 <= |x| < 2^24, the result is always integer 48 ir = ix < 0x4b800000 ? xodd | 0x3f800000 : ir; 49 50 // 0x1.0p-7 <= |x| < 2^23, result depends on which 0.25 interval 51 52 // r < 1.0 53 float a = 1.0f - r; 54 int e = 1; 55 int s = xodd ^ 0x80000000; 56 57 // r <= 0.75 58 int c = r <= 0.75f; 59 a = c ? r - 0.5f : a; 60 e = c ? 0 : e; 61 62 // r < 0.5 63 c = r < 0.5f; 64 a = c ? 0.5f - r : a; 65 s = c ? xodd : s; 66 67 // r <= 0.25 68 c = r <= 0.25f; 69 a = c ? r : a; 70 e = c ? 1 : e; 71 72 float2 t = __libclc__sincosf_piby4(a * M_PI_F); 73 int jr = s ^ as_int(e ? t.hi : t.lo); 74 75 ir = ix < 0x4b000000 ? jr : ir; 76 77 return as_float(ir); 78} 79 80 81_CLC_UNARY_VECTORIZE(_CLC_OVERLOAD _CLC_DEF, float, cospi, float); 82 83#ifdef cl_khr_fp64 84 85#pragma OPENCL EXTENSION cl_khr_fp64 : enable 86 87_CLC_OVERLOAD _CLC_DEF double cospi(double x) { 88 89 long ix = as_long(x) & 0x7fffffffffffffffL; 90 double ax = as_double(ix); 91 long iax = (long)ax; 92 double r = ax - (double)iax; 93 long xodd = iax & 0x1L ? 0x8000000000000000L : 0L; 94 95 // Initialize with return for +-Inf and NaN 96 long ir = 0x7ff8000000000000L; 97 98 // 2^53 <= |x| < Inf, the result is always even integer 99 ir = ix < 0x7ff0000000000000 ? 0x3ff0000000000000L : ir; 100 101 // 2^52 <= |x| < 2^53, the result is always integer 102 ir = ax < 0x1.0p+53 ? xodd | 0x3ff0000000000000L : ir; 103 104 // 0x1.0p-7 <= |x| < 2^52, result depends on which 0.25 interval 105 106 // r < 1.0 107 double a = 1.0 - r; 108 int e = 1; 109 long s = xodd ^ 0x8000000000000000L; 110 111 // r <= 0.75 112 int c = r <= 0.75; 113 double t = r - 0.5; 114 a = c ? t : a; 115 e = c ? 0 : e; 116 117 // r < 0.5 118 c = r < 0.5; 119 t = 0.5 - r; 120 a = c ? t : a; 121 s = c ? xodd : s; 122 123 // r <= 0.25 124 c = r <= 0.25; 125 a = c ? r : a; 126 e = c ? 1 : e; 127 128 double2 sc = __libclc__sincos_piby4(a * M_PI, 0.0); 129 long jr = s ^ as_long(e ? sc.hi : sc.lo); 130 131 ir = ax < 0x1.0p+52 ? jr : ir; 132 133 return as_double(ir); 134} 135_CLC_UNARY_VECTORIZE(_CLC_OVERLOAD _CLC_DEF, double, cospi, double); 136#endif 137