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| Rev | Author | Line No. | Line |
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| 14 | pmbaty | 1 | /*===-- __clang_cuda_complex_builtins - CUDA impls of runtime complex fns ---=== |
| 2 | * |
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| 3 | * Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. |
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| 4 | * See https://llvm.org/LICENSE.txt for license information. |
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| 5 | * SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception |
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| 6 | * |
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| 7 | *===-----------------------------------------------------------------------=== |
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| 8 | */ |
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| 9 | |||
| 10 | #ifndef __CLANG_CUDA_COMPLEX_BUILTINS |
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| 11 | #define __CLANG_CUDA_COMPLEX_BUILTINS |
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| 12 | |||
| 13 | // This header defines __muldc3, __mulsc3, __divdc3, and __divsc3. These are |
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| 14 | // libgcc functions that clang assumes are available when compiling c99 complex |
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| 15 | // operations. (These implementations come from libc++, and have been modified |
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| 16 | // to work with CUDA and OpenMP target offloading [in C and C++ mode].) |
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| 17 | |||
| 18 | #pragma push_macro("__DEVICE__") |
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| 19 | #if defined(__OPENMP_NVPTX__) || defined(__OPENMP_AMDGCN__) |
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| 20 | #pragma omp declare target |
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| 21 | #define __DEVICE__ __attribute__((noinline, nothrow, cold, weak)) |
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| 22 | #else |
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| 23 | #define __DEVICE__ __device__ inline |
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| 24 | #endif |
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| 25 | |||
| 26 | // To make the algorithms available for C and C++ in CUDA and OpenMP we select |
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| 27 | // different but equivalent function versions. TODO: For OpenMP we currently |
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| 28 | // select the native builtins as the overload support for templates is lacking. |
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| 29 | #if !defined(__OPENMP_NVPTX__) && !defined(__OPENMP_AMDGCN__) |
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| 30 | #define _ISNANd std::isnan |
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| 31 | #define _ISNANf std::isnan |
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| 32 | #define _ISINFd std::isinf |
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| 33 | #define _ISINFf std::isinf |
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| 34 | #define _ISFINITEd std::isfinite |
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| 35 | #define _ISFINITEf std::isfinite |
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| 36 | #define _COPYSIGNd std::copysign |
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| 37 | #define _COPYSIGNf std::copysign |
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| 38 | #define _SCALBNd std::scalbn |
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| 39 | #define _SCALBNf std::scalbn |
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| 40 | #define _ABSd std::abs |
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| 41 | #define _ABSf std::abs |
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| 42 | #define _LOGBd std::logb |
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| 43 | #define _LOGBf std::logb |
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| 44 | // Rather than pulling in std::max from algorithm everytime, use available ::max. |
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| 45 | #define _fmaxd max |
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| 46 | #define _fmaxf max |
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| 47 | #else |
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| 48 | #ifdef __AMDGCN__ |
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| 49 | #define _ISNANd __ocml_isnan_f64 |
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| 50 | #define _ISNANf __ocml_isnan_f32 |
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| 51 | #define _ISINFd __ocml_isinf_f64 |
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| 52 | #define _ISINFf __ocml_isinf_f32 |
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| 53 | #define _ISFINITEd __ocml_isfinite_f64 |
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| 54 | #define _ISFINITEf __ocml_isfinite_f32 |
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| 55 | #define _COPYSIGNd __ocml_copysign_f64 |
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| 56 | #define _COPYSIGNf __ocml_copysign_f32 |
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| 57 | #define _SCALBNd __ocml_scalbn_f64 |
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| 58 | #define _SCALBNf __ocml_scalbn_f32 |
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| 59 | #define _ABSd __ocml_fabs_f64 |
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| 60 | #define _ABSf __ocml_fabs_f32 |
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| 61 | #define _LOGBd __ocml_logb_f64 |
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| 62 | #define _LOGBf __ocml_logb_f32 |
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| 63 | #define _fmaxd __ocml_fmax_f64 |
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| 64 | #define _fmaxf __ocml_fmax_f32 |
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| 65 | #else |
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| 66 | #define _ISNANd __nv_isnand |
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| 67 | #define _ISNANf __nv_isnanf |
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| 68 | #define _ISINFd __nv_isinfd |
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| 69 | #define _ISINFf __nv_isinff |
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| 70 | #define _ISFINITEd __nv_isfinited |
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| 71 | #define _ISFINITEf __nv_finitef |
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| 72 | #define _COPYSIGNd __nv_copysign |
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| 73 | #define _COPYSIGNf __nv_copysignf |
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| 74 | #define _SCALBNd __nv_scalbn |
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| 75 | #define _SCALBNf __nv_scalbnf |
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| 76 | #define _ABSd __nv_fabs |
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| 77 | #define _ABSf __nv_fabsf |
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| 78 | #define _LOGBd __nv_logb |
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| 79 | #define _LOGBf __nv_logbf |
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| 80 | #define _fmaxd __nv_fmax |
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| 81 | #define _fmaxf __nv_fmaxf |
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| 82 | #endif |
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| 83 | #endif |
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| 84 | |||
| 85 | #if defined(__cplusplus) |
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| 86 | extern "C" { |
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| 87 | #endif |
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| 88 | |||
| 89 | __DEVICE__ double _Complex __muldc3(double __a, double __b, double __c, |
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| 90 | double __d) { |
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| 91 | double __ac = __a * __c; |
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| 92 | double __bd = __b * __d; |
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| 93 | double __ad = __a * __d; |
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| 94 | double __bc = __b * __c; |
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| 95 | double _Complex z; |
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| 96 | __real__(z) = __ac - __bd; |
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| 97 | __imag__(z) = __ad + __bc; |
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| 98 | if (_ISNANd(__real__(z)) && _ISNANd(__imag__(z))) { |
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| 99 | int __recalc = 0; |
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| 100 | if (_ISINFd(__a) || _ISINFd(__b)) { |
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| 101 | __a = _COPYSIGNd(_ISINFd(__a) ? 1 : 0, __a); |
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| 102 | __b = _COPYSIGNd(_ISINFd(__b) ? 1 : 0, __b); |
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| 103 | if (_ISNANd(__c)) |
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| 104 | __c = _COPYSIGNd(0, __c); |
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| 105 | if (_ISNANd(__d)) |
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| 106 | __d = _COPYSIGNd(0, __d); |
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| 107 | __recalc = 1; |
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| 108 | } |
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| 109 | if (_ISINFd(__c) || _ISINFd(__d)) { |
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| 110 | __c = _COPYSIGNd(_ISINFd(__c) ? 1 : 0, __c); |
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| 111 | __d = _COPYSIGNd(_ISINFd(__d) ? 1 : 0, __d); |
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| 112 | if (_ISNANd(__a)) |
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| 113 | __a = _COPYSIGNd(0, __a); |
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| 114 | if (_ISNANd(__b)) |
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| 115 | __b = _COPYSIGNd(0, __b); |
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| 116 | __recalc = 1; |
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| 117 | } |
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| 118 | if (!__recalc && |
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| 119 | (_ISINFd(__ac) || _ISINFd(__bd) || _ISINFd(__ad) || _ISINFd(__bc))) { |
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| 120 | if (_ISNANd(__a)) |
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| 121 | __a = _COPYSIGNd(0, __a); |
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| 122 | if (_ISNANd(__b)) |
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| 123 | __b = _COPYSIGNd(0, __b); |
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| 124 | if (_ISNANd(__c)) |
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| 125 | __c = _COPYSIGNd(0, __c); |
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| 126 | if (_ISNANd(__d)) |
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| 127 | __d = _COPYSIGNd(0, __d); |
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| 128 | __recalc = 1; |
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| 129 | } |
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| 130 | if (__recalc) { |
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| 131 | // Can't use std::numeric_limits<double>::infinity() -- that doesn't have |
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| 132 | // a device overload (and isn't constexpr before C++11, naturally). |
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| 133 | __real__(z) = __builtin_huge_val() * (__a * __c - __b * __d); |
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| 134 | __imag__(z) = __builtin_huge_val() * (__a * __d + __b * __c); |
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| 135 | } |
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| 136 | } |
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| 137 | return z; |
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| 138 | } |
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| 139 | |||
| 140 | __DEVICE__ float _Complex __mulsc3(float __a, float __b, float __c, float __d) { |
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| 141 | float __ac = __a * __c; |
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| 142 | float __bd = __b * __d; |
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| 143 | float __ad = __a * __d; |
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| 144 | float __bc = __b * __c; |
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| 145 | float _Complex z; |
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| 146 | __real__(z) = __ac - __bd; |
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| 147 | __imag__(z) = __ad + __bc; |
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| 148 | if (_ISNANf(__real__(z)) && _ISNANf(__imag__(z))) { |
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| 149 | int __recalc = 0; |
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| 150 | if (_ISINFf(__a) || _ISINFf(__b)) { |
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| 151 | __a = _COPYSIGNf(_ISINFf(__a) ? 1 : 0, __a); |
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| 152 | __b = _COPYSIGNf(_ISINFf(__b) ? 1 : 0, __b); |
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| 153 | if (_ISNANf(__c)) |
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| 154 | __c = _COPYSIGNf(0, __c); |
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| 155 | if (_ISNANf(__d)) |
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| 156 | __d = _COPYSIGNf(0, __d); |
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| 157 | __recalc = 1; |
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| 158 | } |
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| 159 | if (_ISINFf(__c) || _ISINFf(__d)) { |
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| 160 | __c = _COPYSIGNf(_ISINFf(__c) ? 1 : 0, __c); |
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| 161 | __d = _COPYSIGNf(_ISINFf(__d) ? 1 : 0, __d); |
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| 162 | if (_ISNANf(__a)) |
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| 163 | __a = _COPYSIGNf(0, __a); |
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| 164 | if (_ISNANf(__b)) |
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| 165 | __b = _COPYSIGNf(0, __b); |
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| 166 | __recalc = 1; |
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| 167 | } |
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| 168 | if (!__recalc && |
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| 169 | (_ISINFf(__ac) || _ISINFf(__bd) || _ISINFf(__ad) || _ISINFf(__bc))) { |
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| 170 | if (_ISNANf(__a)) |
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| 171 | __a = _COPYSIGNf(0, __a); |
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| 172 | if (_ISNANf(__b)) |
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| 173 | __b = _COPYSIGNf(0, __b); |
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| 174 | if (_ISNANf(__c)) |
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| 175 | __c = _COPYSIGNf(0, __c); |
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| 176 | if (_ISNANf(__d)) |
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| 177 | __d = _COPYSIGNf(0, __d); |
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| 178 | __recalc = 1; |
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| 179 | } |
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| 180 | if (__recalc) { |
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| 181 | __real__(z) = __builtin_huge_valf() * (__a * __c - __b * __d); |
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| 182 | __imag__(z) = __builtin_huge_valf() * (__a * __d + __b * __c); |
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| 183 | } |
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| 184 | } |
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| 185 | return z; |
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| 186 | } |
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| 187 | |||
| 188 | __DEVICE__ double _Complex __divdc3(double __a, double __b, double __c, |
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| 189 | double __d) { |
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| 190 | int __ilogbw = 0; |
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| 191 | // Can't use std::max, because that's defined in <algorithm>, and we don't |
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| 192 | // want to pull that in for every compile. The CUDA headers define |
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| 193 | // ::max(float, float) and ::max(double, double), which is sufficient for us. |
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| 194 | double __logbw = _LOGBd(_fmaxd(_ABSd(__c), _ABSd(__d))); |
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| 195 | if (_ISFINITEd(__logbw)) { |
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| 196 | __ilogbw = (int)__logbw; |
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| 197 | __c = _SCALBNd(__c, -__ilogbw); |
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| 198 | __d = _SCALBNd(__d, -__ilogbw); |
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| 199 | } |
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| 200 | double __denom = __c * __c + __d * __d; |
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| 201 | double _Complex z; |
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| 202 | __real__(z) = _SCALBNd((__a * __c + __b * __d) / __denom, -__ilogbw); |
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| 203 | __imag__(z) = _SCALBNd((__b * __c - __a * __d) / __denom, -__ilogbw); |
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| 204 | if (_ISNANd(__real__(z)) && _ISNANd(__imag__(z))) { |
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| 205 | if ((__denom == 0.0) && (!_ISNANd(__a) || !_ISNANd(__b))) { |
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| 206 | __real__(z) = _COPYSIGNd(__builtin_huge_val(), __c) * __a; |
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| 207 | __imag__(z) = _COPYSIGNd(__builtin_huge_val(), __c) * __b; |
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| 208 | } else if ((_ISINFd(__a) || _ISINFd(__b)) && _ISFINITEd(__c) && |
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| 209 | _ISFINITEd(__d)) { |
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| 210 | __a = _COPYSIGNd(_ISINFd(__a) ? 1.0 : 0.0, __a); |
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| 211 | __b = _COPYSIGNd(_ISINFd(__b) ? 1.0 : 0.0, __b); |
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| 212 | __real__(z) = __builtin_huge_val() * (__a * __c + __b * __d); |
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| 213 | __imag__(z) = __builtin_huge_val() * (__b * __c - __a * __d); |
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| 214 | } else if (_ISINFd(__logbw) && __logbw > 0.0 && _ISFINITEd(__a) && |
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| 215 | _ISFINITEd(__b)) { |
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| 216 | __c = _COPYSIGNd(_ISINFd(__c) ? 1.0 : 0.0, __c); |
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| 217 | __d = _COPYSIGNd(_ISINFd(__d) ? 1.0 : 0.0, __d); |
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| 218 | __real__(z) = 0.0 * (__a * __c + __b * __d); |
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| 219 | __imag__(z) = 0.0 * (__b * __c - __a * __d); |
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| 220 | } |
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| 221 | } |
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| 222 | return z; |
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| 223 | } |
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| 224 | |||
| 225 | __DEVICE__ float _Complex __divsc3(float __a, float __b, float __c, float __d) { |
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| 226 | int __ilogbw = 0; |
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| 227 | float __logbw = _LOGBf(_fmaxf(_ABSf(__c), _ABSf(__d))); |
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| 228 | if (_ISFINITEf(__logbw)) { |
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| 229 | __ilogbw = (int)__logbw; |
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| 230 | __c = _SCALBNf(__c, -__ilogbw); |
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| 231 | __d = _SCALBNf(__d, -__ilogbw); |
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| 232 | } |
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| 233 | float __denom = __c * __c + __d * __d; |
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| 234 | float _Complex z; |
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| 235 | __real__(z) = _SCALBNf((__a * __c + __b * __d) / __denom, -__ilogbw); |
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| 236 | __imag__(z) = _SCALBNf((__b * __c - __a * __d) / __denom, -__ilogbw); |
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| 237 | if (_ISNANf(__real__(z)) && _ISNANf(__imag__(z))) { |
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| 238 | if ((__denom == 0) && (!_ISNANf(__a) || !_ISNANf(__b))) { |
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| 239 | __real__(z) = _COPYSIGNf(__builtin_huge_valf(), __c) * __a; |
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| 240 | __imag__(z) = _COPYSIGNf(__builtin_huge_valf(), __c) * __b; |
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| 241 | } else if ((_ISINFf(__a) || _ISINFf(__b)) && _ISFINITEf(__c) && |
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| 242 | _ISFINITEf(__d)) { |
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| 243 | __a = _COPYSIGNf(_ISINFf(__a) ? 1 : 0, __a); |
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| 244 | __b = _COPYSIGNf(_ISINFf(__b) ? 1 : 0, __b); |
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| 245 | __real__(z) = __builtin_huge_valf() * (__a * __c + __b * __d); |
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| 246 | __imag__(z) = __builtin_huge_valf() * (__b * __c - __a * __d); |
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| 247 | } else if (_ISINFf(__logbw) && __logbw > 0 && _ISFINITEf(__a) && |
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| 248 | _ISFINITEf(__b)) { |
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| 249 | __c = _COPYSIGNf(_ISINFf(__c) ? 1 : 0, __c); |
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| 250 | __d = _COPYSIGNf(_ISINFf(__d) ? 1 : 0, __d); |
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| 251 | __real__(z) = 0 * (__a * __c + __b * __d); |
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| 252 | __imag__(z) = 0 * (__b * __c - __a * __d); |
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| 253 | } |
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| 254 | } |
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| 255 | return z; |
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| 256 | } |
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| 257 | |||
| 258 | #if defined(__cplusplus) |
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| 259 | } // extern "C" |
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| 260 | #endif |
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| 261 | |||
| 262 | #undef _ISNANd |
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| 263 | #undef _ISNANf |
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| 264 | #undef _ISINFd |
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| 265 | #undef _ISINFf |
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| 266 | #undef _COPYSIGNd |
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| 267 | #undef _COPYSIGNf |
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| 268 | #undef _ISFINITEd |
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| 269 | #undef _ISFINITEf |
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| 270 | #undef _SCALBNd |
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| 271 | #undef _SCALBNf |
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| 272 | #undef _ABSd |
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| 273 | #undef _ABSf |
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| 274 | #undef _LOGBd |
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| 275 | #undef _LOGBf |
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| 276 | #undef _fmaxd |
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| 277 | #undef _fmaxf |
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| 278 | |||
| 279 | #if defined(__OPENMP_NVPTX__) || defined(__OPENMP_AMDGCN__) |
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| 280 | #pragma omp end declare target |
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| 281 | #endif |
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| 282 | |||
| 283 | #pragma pop_macro("__DEVICE__") |
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| 284 | |||
| 285 | #endif // __CLANG_CUDA_COMPLEX_BUILTINS |