1 /*===-- __clang_cuda_complex_builtins - CUDA impls of runtime complex fns ---=== 2 * 3 * Permission is hereby granted, free of charge, to any person obtaining a copy 4 * of this software and associated documentation files (the "Software"), to deal 5 * in the Software without restriction, including without limitation the rights 6 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 7 * copies of the Software, and to permit persons to whom the Software is 8 * furnished to do so, subject to the following conditions: 9 * 10 * The above copyright notice and this permission notice shall be included in 11 * all copies or substantial portions of the Software. 12 * 13 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 14 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 15 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 16 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER 17 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, 18 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN 19 * THE SOFTWARE. 20 * 21 *===-----------------------------------------------------------------------=== 22 */ 23 24 #ifndef __CLANG_CUDA_COMPLEX_BUILTINS 25 #define __CLANG_CUDA_COMPLEX_BUILTINS 26 27 // This header defines __muldc3, __mulsc3, __divdc3, and __divsc3. These are 28 // libgcc functions that clang assumes are available when compiling c99 complex 29 // operations. (These implementations come from libc++, and have been modified 30 // to work with CUDA.) 31 32 extern "C" inline __device__ double _Complex __muldc3(double __a, double __b, 33 double __c, double __d) { 34 double __ac = __a * __c; 35 double __bd = __b * __d; 36 double __ad = __a * __d; 37 double __bc = __b * __c; 38 double _Complex z; 39 __real__(z) = __ac - __bd; 40 __imag__(z) = __ad + __bc; 41 if (std::isnan(__real__(z)) && std::isnan(__imag__(z))) { 42 int __recalc = 0; 43 if (std::isinf(__a) || std::isinf(__b)) { 44 __a = std::copysign(std::isinf(__a) ? 1 : 0, __a); 45 __b = std::copysign(std::isinf(__b) ? 1 : 0, __b); 46 if (std::isnan(__c)) 47 __c = std::copysign(0, __c); 48 if (std::isnan(__d)) 49 __d = std::copysign(0, __d); 50 __recalc = 1; 51 } 52 if (std::isinf(__c) || std::isinf(__d)) { 53 __c = std::copysign(std::isinf(__c) ? 1 : 0, __c); 54 __d = std::copysign(std::isinf(__d) ? 1 : 0, __d); 55 if (std::isnan(__a)) 56 __a = std::copysign(0, __a); 57 if (std::isnan(__b)) 58 __b = std::copysign(0, __b); 59 __recalc = 1; 60 } 61 if (!__recalc && (std::isinf(__ac) || std::isinf(__bd) || 62 std::isinf(__ad) || std::isinf(__bc))) { 63 if (std::isnan(__a)) 64 __a = std::copysign(0, __a); 65 if (std::isnan(__b)) 66 __b = std::copysign(0, __b); 67 if (std::isnan(__c)) 68 __c = std::copysign(0, __c); 69 if (std::isnan(__d)) 70 __d = std::copysign(0, __d); 71 __recalc = 1; 72 } 73 if (__recalc) { 74 // Can't use std::numeric_limits<double>::infinity() -- that doesn't have 75 // a device overload (and isn't constexpr before C++11, naturally). 76 __real__(z) = __builtin_huge_valf() * (__a * __c - __b * __d); 77 __imag__(z) = __builtin_huge_valf() * (__a * __d + __b * __c); 78 } 79 } 80 return z; 81 } 82 83 extern "C" inline __device__ float _Complex __mulsc3(float __a, float __b, 84 float __c, float __d) { 85 float __ac = __a * __c; 86 float __bd = __b * __d; 87 float __ad = __a * __d; 88 float __bc = __b * __c; 89 float _Complex z; 90 __real__(z) = __ac - __bd; 91 __imag__(z) = __ad + __bc; 92 if (std::isnan(__real__(z)) && std::isnan(__imag__(z))) { 93 int __recalc = 0; 94 if (std::isinf(__a) || std::isinf(__b)) { 95 __a = std::copysign(std::isinf(__a) ? 1 : 0, __a); 96 __b = std::copysign(std::isinf(__b) ? 1 : 0, __b); 97 if (std::isnan(__c)) 98 __c = std::copysign(0, __c); 99 if (std::isnan(__d)) 100 __d = std::copysign(0, __d); 101 __recalc = 1; 102 } 103 if (std::isinf(__c) || std::isinf(__d)) { 104 __c = std::copysign(std::isinf(__c) ? 1 : 0, __c); 105 __d = std::copysign(std::isinf(__d) ? 1 : 0, __d); 106 if (std::isnan(__a)) 107 __a = std::copysign(0, __a); 108 if (std::isnan(__b)) 109 __b = std::copysign(0, __b); 110 __recalc = 1; 111 } 112 if (!__recalc && (std::isinf(__ac) || std::isinf(__bd) || 113 std::isinf(__ad) || std::isinf(__bc))) { 114 if (std::isnan(__a)) 115 __a = std::copysign(0, __a); 116 if (std::isnan(__b)) 117 __b = std::copysign(0, __b); 118 if (std::isnan(__c)) 119 __c = std::copysign(0, __c); 120 if (std::isnan(__d)) 121 __d = std::copysign(0, __d); 122 __recalc = 1; 123 } 124 if (__recalc) { 125 __real__(z) = __builtin_huge_valf() * (__a * __c - __b * __d); 126 __imag__(z) = __builtin_huge_valf() * (__a * __d + __b * __c); 127 } 128 } 129 return z; 130 } 131 132 extern "C" inline __device__ double _Complex __divdc3(double __a, double __b, 133 double __c, double __d) { 134 int __ilogbw = 0; 135 // Can't use std::max, because that's defined in <algorithm>, and we don't 136 // want to pull that in for every compile. The CUDA headers define 137 // ::max(float, float) and ::max(double, double), which is sufficient for us. 138 double __logbw = std::logb(max(std::abs(__c), std::abs(__d))); 139 if (std::isfinite(__logbw)) { 140 __ilogbw = (int)__logbw; 141 __c = std::scalbn(__c, -__ilogbw); 142 __d = std::scalbn(__d, -__ilogbw); 143 } 144 double __denom = __c * __c + __d * __d; 145 double _Complex z; 146 __real__(z) = std::scalbn((__a * __c + __b * __d) / __denom, -__ilogbw); 147 __imag__(z) = std::scalbn((__b * __c - __a * __d) / __denom, -__ilogbw); 148 if (std::isnan(__real__(z)) && std::isnan(__imag__(z))) { 149 if ((__denom == 0.0) && (!std::isnan(__a) || !std::isnan(__b))) { 150 __real__(z) = std::copysign(__builtin_huge_valf(), __c) * __a; 151 __imag__(z) = std::copysign(__builtin_huge_valf(), __c) * __b; 152 } else if ((std::isinf(__a) || std::isinf(__b)) && std::isfinite(__c) && 153 std::isfinite(__d)) { 154 __a = std::copysign(std::isinf(__a) ? 1.0 : 0.0, __a); 155 __b = std::copysign(std::isinf(__b) ? 1.0 : 0.0, __b); 156 __real__(z) = __builtin_huge_valf() * (__a * __c + __b * __d); 157 __imag__(z) = __builtin_huge_valf() * (__b * __c - __a * __d); 158 } else if (std::isinf(__logbw) && __logbw > 0.0 && std::isfinite(__a) && 159 std::isfinite(__b)) { 160 __c = std::copysign(std::isinf(__c) ? 1.0 : 0.0, __c); 161 __d = std::copysign(std::isinf(__d) ? 1.0 : 0.0, __d); 162 __real__(z) = 0.0 * (__a * __c + __b * __d); 163 __imag__(z) = 0.0 * (__b * __c - __a * __d); 164 } 165 } 166 return z; 167 } 168 169 extern "C" inline __device__ float _Complex __divsc3(float __a, float __b, 170 float __c, float __d) { 171 int __ilogbw = 0; 172 float __logbw = std::logb(max(std::abs(__c), std::abs(__d))); 173 if (std::isfinite(__logbw)) { 174 __ilogbw = (int)__logbw; 175 __c = std::scalbn(__c, -__ilogbw); 176 __d = std::scalbn(__d, -__ilogbw); 177 } 178 float __denom = __c * __c + __d * __d; 179 float _Complex z; 180 __real__(z) = std::scalbn((__a * __c + __b * __d) / __denom, -__ilogbw); 181 __imag__(z) = std::scalbn((__b * __c - __a * __d) / __denom, -__ilogbw); 182 if (std::isnan(__real__(z)) && std::isnan(__imag__(z))) { 183 if ((__denom == 0) && (!std::isnan(__a) || !std::isnan(__b))) { 184 __real__(z) = std::copysign(__builtin_huge_valf(), __c) * __a; 185 __imag__(z) = std::copysign(__builtin_huge_valf(), __c) * __b; 186 } else if ((std::isinf(__a) || std::isinf(__b)) && std::isfinite(__c) && 187 std::isfinite(__d)) { 188 __a = std::copysign(std::isinf(__a) ? 1 : 0, __a); 189 __b = std::copysign(std::isinf(__b) ? 1 : 0, __b); 190 __real__(z) = __builtin_huge_valf() * (__a * __c + __b * __d); 191 __imag__(z) = __builtin_huge_valf() * (__b * __c - __a * __d); 192 } else if (std::isinf(__logbw) && __logbw > 0 && std::isfinite(__a) && 193 std::isfinite(__b)) { 194 __c = std::copysign(std::isinf(__c) ? 1 : 0, __c); 195 __d = std::copysign(std::isinf(__d) ? 1 : 0, __d); 196 __real__(z) = 0 * (__a * __c + __b * __d); 197 __imag__(z) = 0 * (__b * __c - __a * __d); 198 } 199 } 200 return z; 201 } 202 203 #endif // __CLANG_CUDA_COMPLEX_BUILTINS 204
