/*===-- __clang_cuda_complex_builtins - CUDA impls of runtime complex fns ---=== * * 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. * *===-----------------------------------------------------------------------=== */ #ifndef __CLANG_CUDA_COMPLEX_BUILTINS #define __CLANG_CUDA_COMPLEX_BUILTINS // This header defines __muldc3, __mulsc3, __divdc3, and __divsc3. These are // libgcc functions that clang assumes are available when compiling c99 complex // operations. (These implementations come from libc++, and have been modified // to work with CUDA.) extern "C" inline __device__ double _Complex __muldc3(double __a, double __b, double __c, double __d) { double __ac = __a * __c; double __bd = __b * __d; double __ad = __a * __d; double __bc = __b * __c; double _Complex z; __real__(z) = __ac - __bd; __imag__(z) = __ad + __bc; if (std::isnan(__real__(z)) && std::isnan(__imag__(z))) { int __recalc = 0; if (std::isinf(__a) || std::isinf(__b)) { __a = std::copysign(std::isinf(__a) ? 1 : 0, __a); __b = std::copysign(std::isinf(__b) ? 1 : 0, __b); if (std::isnan(__c)) __c = std::copysign(0, __c); if (std::isnan(__d)) __d = std::copysign(0, __d); __recalc = 1; } if (std::isinf(__c) || std::isinf(__d)) { __c = std::copysign(std::isinf(__c) ? 1 : 0, __c); __d = std::copysign(std::isinf(__d) ? 1 : 0, __d); if (std::isnan(__a)) __a = std::copysign(0, __a); if (std::isnan(__b)) __b = std::copysign(0, __b); __recalc = 1; } if (!__recalc && (std::isinf(__ac) || std::isinf(__bd) || std::isinf(__ad) || std::isinf(__bc))) { if (std::isnan(__a)) __a = std::copysign(0, __a); if (std::isnan(__b)) __b = std::copysign(0, __b); if (std::isnan(__c)) __c = std::copysign(0, __c); if (std::isnan(__d)) __d = std::copysign(0, __d); __recalc = 1; } if (__recalc) { // Can't use std::numeric_limits<double>::infinity() -- that doesn't have // a device overload (and isn't constexpr before C++11, naturally). __real__(z) = __builtin_huge_valf() * (__a * __c - __b * __d); __imag__(z) = __builtin_huge_valf() * (__a * __d + __b * __c); } } return z; } extern "C" inline __device__ float _Complex __mulsc3(float __a, float __b, float __c, float __d) { float __ac = __a * __c; float __bd = __b * __d; float __ad = __a * __d; float __bc = __b * __c; float _Complex z; __real__(z) = __ac - __bd; __imag__(z) = __ad + __bc; if (std::isnan(__real__(z)) && std::isnan(__imag__(z))) { int __recalc = 0; if (std::isinf(__a) || std::isinf(__b)) { __a = std::copysign(std::isinf(__a) ? 1 : 0, __a); __b = std::copysign(std::isinf(__b) ? 1 : 0, __b); if (std::isnan(__c)) __c = std::copysign(0, __c); if (std::isnan(__d)) __d = std::copysign(0, __d); __recalc = 1; } if (std::isinf(__c) || std::isinf(__d)) { __c = std::copysign(std::isinf(__c) ? 1 : 0, __c); __d = std::copysign(std::isinf(__d) ? 1 : 0, __d); if (std::isnan(__a)) __a = std::copysign(0, __a); if (std::isnan(__b)) __b = std::copysign(0, __b); __recalc = 1; } if (!__recalc && (std::isinf(__ac) || std::isinf(__bd) || std::isinf(__ad) || std::isinf(__bc))) { if (std::isnan(__a)) __a = std::copysign(0, __a); if (std::isnan(__b)) __b = std::copysign(0, __b); if (std::isnan(__c)) __c = std::copysign(0, __c); if (std::isnan(__d)) __d = std::copysign(0, __d); __recalc = 1; } if (__recalc) { __real__(z) = __builtin_huge_valf() * (__a * __c - __b * __d); __imag__(z) = __builtin_huge_valf() * (__a * __d + __b * __c); } } return z; } extern "C" inline __device__ double _Complex __divdc3(double __a, double __b, double __c, double __d) { int __ilogbw = 0; // Can't use std::max, because that's defined in <algorithm>, and we don't // want to pull that in for every compile. The CUDA headers define // ::max(float, float) and ::max(double, double), which is sufficient for us. double __logbw = std::logb(max(std::abs(__c), std::abs(__d))); if (std::isfinite(__logbw)) { __ilogbw = (int)__logbw; __c = std::scalbn(__c, -__ilogbw); __d = std::scalbn(__d, -__ilogbw); } double __denom = __c * __c + __d * __d; double _Complex z; __real__(z) = std::scalbn((__a * __c + __b * __d) / __denom, -__ilogbw); __imag__(z) = std::scalbn((__b * __c - __a * __d) / __denom, -__ilogbw); if (std::isnan(__real__(z)) && std::isnan(__imag__(z))) { if ((__denom == 0.0) && (!std::isnan(__a) || !std::isnan(__b))) { __real__(z) = std::copysign(__builtin_huge_valf(), __c) * __a; __imag__(z) = std::copysign(__builtin_huge_valf(), __c) * __b; } else if ((std::isinf(__a) || std::isinf(__b)) && std::isfinite(__c) && std::isfinite(__d)) { __a = std::copysign(std::isinf(__a) ? 1.0 : 0.0, __a); __b = std::copysign(std::isinf(__b) ? 1.0 : 0.0, __b); __real__(z) = __builtin_huge_valf() * (__a * __c + __b * __d); __imag__(z) = __builtin_huge_valf() * (__b * __c - __a * __d); } else if (std::isinf(__logbw) && __logbw > 0.0 && std::isfinite(__a) && std::isfinite(__b)) { __c = std::copysign(std::isinf(__c) ? 1.0 : 0.0, __c); __d = std::copysign(std::isinf(__d) ? 1.0 : 0.0, __d); __real__(z) = 0.0 * (__a * __c + __b * __d); __imag__(z) = 0.0 * (__b * __c - __a * __d); } } return z; } extern "C" inline __device__ float _Complex __divsc3(float __a, float __b, float __c, float __d) { int __ilogbw = 0; float __logbw = std::logb(max(std::abs(__c), std::abs(__d))); if (std::isfinite(__logbw)) { __ilogbw = (int)__logbw; __c = std::scalbn(__c, -__ilogbw); __d = std::scalbn(__d, -__ilogbw); } float __denom = __c * __c + __d * __d; float _Complex z; __real__(z) = std::scalbn((__a * __c + __b * __d) / __denom, -__ilogbw); __imag__(z) = std::scalbn((__b * __c - __a * __d) / __denom, -__ilogbw); if (std::isnan(__real__(z)) && std::isnan(__imag__(z))) { if ((__denom == 0) && (!std::isnan(__a) || !std::isnan(__b))) { __real__(z) = std::copysign(__builtin_huge_valf(), __c) * __a; __imag__(z) = std::copysign(__builtin_huge_valf(), __c) * __b; } else if ((std::isinf(__a) || std::isinf(__b)) && std::isfinite(__c) && std::isfinite(__d)) { __a = std::copysign(std::isinf(__a) ? 1 : 0, __a); __b = std::copysign(std::isinf(__b) ? 1 : 0, __b); __real__(z) = __builtin_huge_valf() * (__a * __c + __b * __d); __imag__(z) = __builtin_huge_valf() * (__b * __c - __a * __d); } else if (std::isinf(__logbw) && __logbw > 0 && std::isfinite(__a) && std::isfinite(__b)) { __c = std::copysign(std::isinf(__c) ? 1 : 0, __c); __d = std::copysign(std::isinf(__d) ? 1 : 0, __d); __real__(z) = 0 * (__a * __c + __b * __d); __imag__(z) = 0 * (__b * __c - __a * __d); } } return z; } #endif // __CLANG_CUDA_COMPLEX_BUILTINS