| /*===-- __clang_cuda_complex_builtins - CUDA impls of runtime complex fns ---=== |
| * |
| * Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. |
| * See https://llvm.org/LICENSE.txt for license information. |
| * SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception |
| * |
| *===-----------------------------------------------------------------------=== |
| */ |
| |
| #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 |
