204 lines
8.3 KiB
C
204 lines
8.3 KiB
C
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/*===-- __clang_cuda_complex_builtins - CUDA impls of runtime complex fns ---===
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*
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* Permission is hereby granted, free of charge, to any person obtaining a copy
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* of this software and associated documentation files (the "Software"), to deal
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* in the Software without restriction, including without limitation the rights
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* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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* copies of the Software, and to permit persons to whom the Software is
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* furnished to do so, subject to the following conditions:
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*
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* The above copyright notice and this permission notice shall be included in
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* all copies or substantial portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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* THE SOFTWARE.
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*
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*===-----------------------------------------------------------------------===
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*/
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#ifndef __CLANG_CUDA_COMPLEX_BUILTINS
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#define __CLANG_CUDA_COMPLEX_BUILTINS
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// This header defines __muldc3, __mulsc3, __divdc3, and __divsc3. These are
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// libgcc functions that clang assumes are available when compiling c99 complex
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// operations. (These implementations come from libc++, and have been modified
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// to work with CUDA.)
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extern "C" inline __device__ double _Complex __muldc3(double __a, double __b,
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double __c, double __d) {
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double __ac = __a * __c;
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double __bd = __b * __d;
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double __ad = __a * __d;
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double __bc = __b * __c;
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double _Complex z;
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__real__(z) = __ac - __bd;
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__imag__(z) = __ad + __bc;
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if (std::isnan(__real__(z)) && std::isnan(__imag__(z))) {
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int __recalc = 0;
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if (std::isinf(__a) || std::isinf(__b)) {
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__a = std::copysign(std::isinf(__a) ? 1 : 0, __a);
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__b = std::copysign(std::isinf(__b) ? 1 : 0, __b);
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if (std::isnan(__c))
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__c = std::copysign(0, __c);
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if (std::isnan(__d))
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__d = std::copysign(0, __d);
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__recalc = 1;
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}
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if (std::isinf(__c) || std::isinf(__d)) {
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__c = std::copysign(std::isinf(__c) ? 1 : 0, __c);
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__d = std::copysign(std::isinf(__d) ? 1 : 0, __d);
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if (std::isnan(__a))
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__a = std::copysign(0, __a);
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if (std::isnan(__b))
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__b = std::copysign(0, __b);
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__recalc = 1;
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}
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if (!__recalc && (std::isinf(__ac) || std::isinf(__bd) ||
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std::isinf(__ad) || std::isinf(__bc))) {
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if (std::isnan(__a))
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__a = std::copysign(0, __a);
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if (std::isnan(__b))
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__b = std::copysign(0, __b);
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if (std::isnan(__c))
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__c = std::copysign(0, __c);
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if (std::isnan(__d))
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__d = std::copysign(0, __d);
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__recalc = 1;
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}
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if (__recalc) {
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// Can't use std::numeric_limits<double>::infinity() -- that doesn't have
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// a device overload (and isn't constexpr before C++11, naturally).
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__real__(z) = __builtin_huge_valf() * (__a * __c - __b * __d);
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__imag__(z) = __builtin_huge_valf() * (__a * __d + __b * __c);
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}
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}
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return z;
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}
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extern "C" inline __device__ float _Complex __mulsc3(float __a, float __b,
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float __c, float __d) {
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float __ac = __a * __c;
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float __bd = __b * __d;
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float __ad = __a * __d;
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float __bc = __b * __c;
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float _Complex z;
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__real__(z) = __ac - __bd;
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__imag__(z) = __ad + __bc;
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if (std::isnan(__real__(z)) && std::isnan(__imag__(z))) {
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int __recalc = 0;
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if (std::isinf(__a) || std::isinf(__b)) {
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__a = std::copysign(std::isinf(__a) ? 1 : 0, __a);
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__b = std::copysign(std::isinf(__b) ? 1 : 0, __b);
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if (std::isnan(__c))
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__c = std::copysign(0, __c);
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if (std::isnan(__d))
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__d = std::copysign(0, __d);
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__recalc = 1;
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}
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if (std::isinf(__c) || std::isinf(__d)) {
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__c = std::copysign(std::isinf(__c) ? 1 : 0, __c);
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__d = std::copysign(std::isinf(__d) ? 1 : 0, __d);
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if (std::isnan(__a))
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__a = std::copysign(0, __a);
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if (std::isnan(__b))
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__b = std::copysign(0, __b);
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__recalc = 1;
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}
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if (!__recalc && (std::isinf(__ac) || std::isinf(__bd) ||
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std::isinf(__ad) || std::isinf(__bc))) {
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if (std::isnan(__a))
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__a = std::copysign(0, __a);
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if (std::isnan(__b))
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__b = std::copysign(0, __b);
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if (std::isnan(__c))
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__c = std::copysign(0, __c);
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if (std::isnan(__d))
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__d = std::copysign(0, __d);
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__recalc = 1;
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}
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if (__recalc) {
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__real__(z) = __builtin_huge_valf() * (__a * __c - __b * __d);
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__imag__(z) = __builtin_huge_valf() * (__a * __d + __b * __c);
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}
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}
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return z;
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}
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extern "C" inline __device__ double _Complex __divdc3(double __a, double __b,
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double __c, double __d) {
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int __ilogbw = 0;
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// Can't use std::max, because that's defined in <algorithm>, and we don't
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// want to pull that in for every compile. The CUDA headers define
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// ::max(float, float) and ::max(double, double), which is sufficient for us.
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double __logbw = std::logb(max(std::abs(__c), std::abs(__d)));
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if (std::isfinite(__logbw)) {
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__ilogbw = (int)__logbw;
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__c = std::scalbn(__c, -__ilogbw);
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__d = std::scalbn(__d, -__ilogbw);
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}
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double __denom = __c * __c + __d * __d;
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double _Complex z;
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__real__(z) = std::scalbn((__a * __c + __b * __d) / __denom, -__ilogbw);
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__imag__(z) = std::scalbn((__b * __c - __a * __d) / __denom, -__ilogbw);
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if (std::isnan(__real__(z)) && std::isnan(__imag__(z))) {
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if ((__denom == 0.0) && (!std::isnan(__a) || !std::isnan(__b))) {
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__real__(z) = std::copysign(__builtin_huge_valf(), __c) * __a;
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__imag__(z) = std::copysign(__builtin_huge_valf(), __c) * __b;
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} else if ((std::isinf(__a) || std::isinf(__b)) && std::isfinite(__c) &&
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std::isfinite(__d)) {
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__a = std::copysign(std::isinf(__a) ? 1.0 : 0.0, __a);
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__b = std::copysign(std::isinf(__b) ? 1.0 : 0.0, __b);
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__real__(z) = __builtin_huge_valf() * (__a * __c + __b * __d);
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__imag__(z) = __builtin_huge_valf() * (__b * __c - __a * __d);
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} else if (std::isinf(__logbw) && __logbw > 0.0 && std::isfinite(__a) &&
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std::isfinite(__b)) {
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__c = std::copysign(std::isinf(__c) ? 1.0 : 0.0, __c);
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__d = std::copysign(std::isinf(__d) ? 1.0 : 0.0, __d);
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__real__(z) = 0.0 * (__a * __c + __b * __d);
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__imag__(z) = 0.0 * (__b * __c - __a * __d);
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}
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}
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return z;
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}
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extern "C" inline __device__ float _Complex __divsc3(float __a, float __b,
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float __c, float __d) {
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int __ilogbw = 0;
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float __logbw = std::logb(max(std::abs(__c), std::abs(__d)));
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if (std::isfinite(__logbw)) {
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__ilogbw = (int)__logbw;
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__c = std::scalbn(__c, -__ilogbw);
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__d = std::scalbn(__d, -__ilogbw);
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}
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float __denom = __c * __c + __d * __d;
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float _Complex z;
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__real__(z) = std::scalbn((__a * __c + __b * __d) / __denom, -__ilogbw);
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__imag__(z) = std::scalbn((__b * __c - __a * __d) / __denom, -__ilogbw);
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if (std::isnan(__real__(z)) && std::isnan(__imag__(z))) {
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if ((__denom == 0) && (!std::isnan(__a) || !std::isnan(__b))) {
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__real__(z) = std::copysign(__builtin_huge_valf(), __c) * __a;
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__imag__(z) = std::copysign(__builtin_huge_valf(), __c) * __b;
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} else if ((std::isinf(__a) || std::isinf(__b)) && std::isfinite(__c) &&
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std::isfinite(__d)) {
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__a = std::copysign(std::isinf(__a) ? 1 : 0, __a);
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__b = std::copysign(std::isinf(__b) ? 1 : 0, __b);
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__real__(z) = __builtin_huge_valf() * (__a * __c + __b * __d);
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__imag__(z) = __builtin_huge_valf() * (__b * __c - __a * __d);
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} else if (std::isinf(__logbw) && __logbw > 0 && std::isfinite(__a) &&
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std::isfinite(__b)) {
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__c = std::copysign(std::isinf(__c) ? 1 : 0, __c);
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__d = std::copysign(std::isinf(__d) ? 1 : 0, __d);
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__real__(z) = 0 * (__a * __c + __b * __d);
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__imag__(z) = 0 * (__b * __c - __a * __d);
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}
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}
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return z;
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}
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#endif // __CLANG_CUDA_COMPLEX_BUILTINS
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