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593 lines
16 KiB
593 lines
16 KiB
// Copyright (c) 2020 PaddlePaddle Authors. All Rights Reserved.
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//
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// Licensed under the Apache License, Version 2.0 (the "License");
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// you may not use this file except in compliance with the License.
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// You may obtain a copy of the License at
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//
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// http://www.apache.org/licenses/LICENSE-2.0
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//
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// Unless required by applicable law or agreed to in writing, software
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// distributed under the License is distributed on an "AS IS" BASIS,
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// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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// See the License for the specific language governing permissions and
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// limitations under the License.
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#pragma once
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#include <stdint.h>
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#include <limits>
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#if !defined(_WIN32)
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#define PADDLE_ALIGN(x) __attribute__((aligned(x)))
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#else
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#define PADDLE_ALIGN(x) __declspec(align(x))
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#endif
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#ifdef PADDLE_WITH_CUDA
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#include <cuComplex.h>
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#include <thrust/complex.h>
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#endif // PADDLE_WITH_CUDA
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#include <cstring>
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#include "paddle/fluid/platform/hostdevice.h"
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#include "unsupported/Eigen/CXX11/Tensor"
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namespace Eigen {
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template <typename T>
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struct NumTraits;
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} // namespace Eigen
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namespace paddle {
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namespace platform {
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struct PADDLE_ALIGN(16) complex128 {
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public:
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double real;
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double imag;
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complex128() = default;
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complex128(const complex128& o) = default;
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complex128& operator=(const complex128& o) = default;
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complex128(complex128&& o) = default;
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complex128& operator=(complex128&& o) = default;
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~complex128() = default;
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HOSTDEVICE complex128(double real, double imag) : real(real), imag(imag) {}
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#if defined(PADDLE_WITH_CUDA)
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HOSTDEVICE inline explicit complex128(const thrust::complex<double>& c) {
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real = c.real();
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imag = c.imag();
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}
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HOSTDEVICE inline explicit operator thrust::complex<double>() const {
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return thrust::complex<double>(real, imag);
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}
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HOSTDEVICE inline explicit operator cuDoubleComplex() const {
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return make_cuDoubleComplex(real, imag);
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}
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#endif
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HOSTDEVICE complex128(const float& val)
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: real(static_cast<double>(val)), imag(0) {}
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HOSTDEVICE complex128(const double& val) : real(val), imag(0) {}
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HOSTDEVICE complex128(const int& val)
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: real(static_cast<double>(val)), imag(0) {}
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HOSTDEVICE complex128(const int64_t& val)
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: real(static_cast<double>(val)), imag(0) {}
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HOSTDEVICE inline explicit operator std::complex<double>() {
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return static_cast<std::complex<double>>(std::complex<double>(real, imag));
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}
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template <class T>
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HOSTDEVICE inline explicit complex128(const T& val)
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: real(complex128(static_cast<double>(val)).real) {}
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HOSTDEVICE complex128(const std::complex<double> val)
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: real(val.real()), imag(val.imag()) {}
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HOSTDEVICE inline complex128& operator=(bool b) {
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real = b ? 1 : 0;
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imag = 0;
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return *this;
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}
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HOSTDEVICE inline complex128& operator=(int8_t val) {
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real = static_cast<double>(val);
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imag = 0;
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return *this;
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}
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HOSTDEVICE inline complex128& operator=(uint8_t val) {
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real = static_cast<double>(val);
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imag = 0;
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return *this;
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}
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HOSTDEVICE inline complex128& operator=(int16_t val) {
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real = static_cast<double>(val);
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imag = 0;
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return *this;
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}
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HOSTDEVICE inline complex128& operator=(uint16_t val) {
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real = static_cast<double>(val);
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imag = 0;
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return *this;
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}
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HOSTDEVICE inline complex128& operator=(int32_t val) {
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real = static_cast<double>(val);
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imag = 0;
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return *this;
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}
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HOSTDEVICE inline complex128& operator=(uint32_t val) {
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real = static_cast<double>(val);
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imag = 0;
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return *this;
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}
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HOSTDEVICE inline complex128& operator=(int64_t val) {
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real = static_cast<double>(val);
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imag = 0;
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return *this;
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}
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HOSTDEVICE inline complex128& operator=(uint64_t val) {
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real = static_cast<double>(val);
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imag = 0;
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return *this;
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}
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HOSTDEVICE inline complex128& operator=(float val) {
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real = val;
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imag = 0;
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return *this;
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}
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HOSTDEVICE inline complex128& operator=(double val) {
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real = static_cast<double>(val);
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imag = 0;
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return *this;
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}
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HOSTDEVICE inline operator float() const {
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return static_cast<float>(this->real);
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}
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HOSTDEVICE inline explicit operator bool() const {
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return static_cast<bool>(this->real) || static_cast<bool>(this->imag);
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}
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HOSTDEVICE inline explicit operator int8_t() const {
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return static_cast<int8_t>(this->real);
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}
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HOSTDEVICE inline explicit operator uint8_t() const {
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return static_cast<uint8_t>(this->real);
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}
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HOSTDEVICE inline explicit operator int16_t() const {
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return static_cast<int16_t>(this->real);
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}
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HOSTDEVICE inline explicit operator uint16_t() const {
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return static_cast<uint16_t>(this->real);
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}
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HOSTDEVICE inline explicit operator int32_t() const {
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return static_cast<int32_t>(this->real);
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}
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HOSTDEVICE inline explicit operator uint32_t() const {
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return static_cast<uint32_t>(this->real);
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}
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HOSTDEVICE inline explicit operator int64_t() const {
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return static_cast<int64_t>(this->real);
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}
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HOSTDEVICE inline explicit operator uint64_t() const {
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return static_cast<uint64_t>(this->real);
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}
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HOSTDEVICE inline explicit operator double() const {
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return static_cast<double>(this->real);
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}
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};
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HOSTDEVICE inline complex128 operator+(const complex128& a,
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const complex128& b) {
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#if defined(__CUDA_ARCH__)
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return complex128(thrust::complex<double>(a.real, a.imag) +
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thrust::complex<double>(b.real, b.imag));
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#else
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return complex128(a.real + b.real, a.imag + b.imag);
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#endif
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}
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HOSTDEVICE inline complex128 operator-(const complex128& a,
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const complex128& b) {
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#if defined(__CUDA_ARCH__)
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return complex128(thrust::complex<double>(a.real, a.imag) -
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thrust::complex<double>(b.real, b.imag));
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#else
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return complex128(a.real - b.real, a.imag - b.imag);
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#endif
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}
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HOSTDEVICE inline complex128 operator*(const complex128& a,
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const complex128& b) {
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#if defined(__CUDA_ARCH__)
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return complex128(thrust::complex<double>(a.real, a.imag) *
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thrust::complex<double>(b.real, b.imag));
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#else
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return complex128(a.real * b.real - a.imag * b.imag,
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a.imag * b.real + b.imag * a.real);
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#endif
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}
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HOSTDEVICE inline complex128 operator/(const complex128& a,
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const complex128& b) {
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#if defined(__CUDA_ARCH__)
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return complex128(thrust::complex<double>(a.real, a.imag) /
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thrust::complex<double>(b.real, b.imag));
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#else
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double denominator = b.real * b.real + b.imag * b.imag;
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return complex128((a.real * b.real + a.imag * b.imag) / denominator,
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(a.imag * b.real - a.real * b.imag) / denominator);
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#endif
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}
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HOSTDEVICE inline complex128 operator-(const complex128& a) {
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#if defined(__CUDA_ARCH__)
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return complex128(-thrust::complex<double>(a.real, a.imag));
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#else
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complex128 res;
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res.real = -a.real;
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res.imag = -a.imag;
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return res;
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#endif
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}
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HOSTDEVICE inline complex128& operator+=(complex128& a, // NOLINT
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const complex128& b) {
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#if defined(__CUDA_ARCH__)
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a = complex128(thrust::complex<double>(a.real, a.imag) +=
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thrust::complex<double>(b.real, b.imag));
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return a;
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#else
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a.real += b.real;
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a.imag += b.imag;
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return a;
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#endif
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}
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HOSTDEVICE inline complex128& operator-=(complex128& a, // NOLINT
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const complex128& b) {
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#if defined(__CUDA_ARCH__)
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a = complex128(thrust::complex<double>(a.real, a.imag) -=
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thrust::complex<double>(b.real, b.imag));
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return a;
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#else
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a.real -= b.real;
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a.imag -= b.imag;
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return a;
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#endif
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}
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HOSTDEVICE inline complex128& operator*=(complex128& a, // NOLINT
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const complex128& b) {
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#if defined(__CUDA_ARCH__)
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a = complex128(thrust::complex<double>(a.real, a.imag) *=
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thrust::complex<double>(b.real, b.imag));
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return a;
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#else
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a.real = a.real * b.real - a.imag * b.imag;
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a.imag = a.imag * b.real + b.imag * a.real;
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return a;
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#endif
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}
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HOSTDEVICE inline complex128& operator/=(complex128& a, // NOLINT
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const complex128& b) {
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#if defined(__CUDA_ARCH__)
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a = complex128(thrust::complex<double>(a.real, a.imag) /=
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thrust::complex<double>(b.real, b.imag));
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return a;
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#else
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double denominator = b.real * b.real + b.imag * b.imag;
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a.real = (a.real * b.real + a.imag * b.imag) / denominator;
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a.imag = (a.imag * b.real - a.real * b.imag) / denominator;
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return a;
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#endif
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}
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HOSTDEVICE inline complex128 raw_uint16_to_complex128(uint16_t a) {
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complex128 res;
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res.real = a;
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return res;
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}
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HOSTDEVICE inline bool operator==(const complex128& a, const complex128& b) {
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return a.real == b.real && a.imag == b.imag;
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}
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HOSTDEVICE inline bool operator!=(const complex128& a, const complex128& b) {
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return a.real != b.real || a.imag != b.imag;
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}
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HOSTDEVICE inline bool operator<(const complex128& a, const complex128& b) {
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return static_cast<double>(a.real) < static_cast<double>(b.real);
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}
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HOSTDEVICE inline bool operator<=(const complex128& a, const complex128& b) {
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return static_cast<double>(a.real) <= static_cast<double>(b.real);
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}
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HOSTDEVICE inline bool operator>(const complex128& a, const complex128& b) {
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return static_cast<double>(a.real) > static_cast<double>(b.real);
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}
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HOSTDEVICE inline bool operator>=(const complex128& a, const complex128& b) {
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return static_cast<double>(a.real) >= static_cast<double>(b.real);
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}
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HOSTDEVICE inline bool(isnan)(const complex128& a) {
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#if defined(__CUDA_ARCH__)
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return __isnan(a.real) || __isnan(a.imag);
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#else
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return std::isnan(a.real) || std::isnan(a.imag);
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#endif
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}
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HOSTDEVICE inline bool(isinf)(const complex128& a) {
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#if defined(__CUDA_ARCH__)
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return __isinf(a.real) || __isinf(a.imag);
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#else
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return std::isinf(a.real) || std::isinf(a.imag);
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#endif
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}
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HOSTDEVICE inline bool(isfinite)(const complex128& a) {
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return !((isnan)(a)) && !((isinf)(a));
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}
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HOSTDEVICE inline double(abs)(const complex128& a) {
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#if defined(__CUDA_ARCH__)
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return thrust::abs(thrust::complex<double>(a.real, a.imag));
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#else
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return std::abs(std::complex<double>(a));
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#endif
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}
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HOSTDEVICE inline complex128(pow)(const complex128& a, const complex128& b) {
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#if defined(__CUDA_ARCH__)
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return complex128(thrust::pow(thrust::complex<double>(a.real, a.imag),
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thrust::complex<double>(b.real, b.imag)));
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#else
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return std::pow(std::complex<double>(a), std::complex<float>(b));
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#endif
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}
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HOSTDEVICE inline complex128(sqrt)(const complex128& a) {
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#if defined(__CUDA_ARCH__)
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return complex128(thrust::sqrt(thrust::complex<double>(a.real, a.imag)));
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#else
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return std::sqrt(std::complex<double>(a));
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#endif
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}
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HOSTDEVICE inline complex128(tanh)(const complex128& a) {
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#if defined(__CUDA_ARCH__)
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return complex128(thrust::tanh(thrust::complex<double>(a.real, a.imag)));
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#else
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return std::tanh(std::complex<double>(a));
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#endif
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}
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HOSTDEVICE inline complex128(log)(const complex128& a) {
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#if defined(__CUDA_ARCH__)
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return complex128(thrust::log(thrust::complex<double>(a.real, a.imag)));
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#else
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return complex128(std::log(std::complex<double>(a)));
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#endif
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}
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inline std::ostream& operator<<(std::ostream& os, const complex128& a) {
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os << "real:" << a.real << " imag:" << a.imag;
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return os;
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}
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} // namespace platform
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} // namespace paddle
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namespace std {
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template <>
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struct is_pod<paddle::platform::complex128> {
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static const bool value =
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is_trivial<paddle::platform::complex128>::value &&
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is_standard_layout<paddle::platform::complex128>::value;
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};
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template <>
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struct is_floating_point<paddle::platform::complex128>
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: std::integral_constant<
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bool, std::is_same<paddle::platform::complex128,
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typename std::remove_cv<
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paddle::platform::complex128>::type>::value> {
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};
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template <>
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struct is_signed<paddle::platform::complex128> {
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static const bool value = false;
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};
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template <>
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struct is_unsigned<paddle::platform::complex128> {
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static const bool value = false;
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};
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inline bool isnan(const paddle::platform::complex128& a) {
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return paddle::platform::isnan(a);
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}
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inline bool isinf(const paddle::platform::complex128& a) {
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return paddle::platform::isinf(a);
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}
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template <>
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struct numeric_limits<paddle::platform::complex128> {
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static const bool is_specialized = false;
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static const bool is_signed = false;
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static const bool is_integer = false;
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static const bool is_exact = false;
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static const bool has_infinity = false;
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static const bool has_quiet_NaN = false;
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static const bool has_signaling_NaN = false;
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static const float_denorm_style has_denorm = denorm_absent;
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static const bool has_denorm_loss = false;
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static const std::float_round_style round_style = std::round_toward_zero;
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static const bool is_iec559 = false;
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static const bool is_bounded = false;
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static const bool is_modulo = false;
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static const int digits = 0;
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static const int digits10 = 0;
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static const int max_digits10 = 0;
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static const int radix = 0;
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static const int min_exponent = 0;
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static const int min_exponent10 = 0;
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static const int max_exponent = 0;
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static const int max_exponent10 = 0;
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static const bool traps = false;
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static const bool tinyness_before = false;
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static paddle::platform::complex128(min)() {
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return paddle::platform::complex128(0.0, 0.0);
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}
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static paddle::platform::complex128 lowest() {
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return paddle::platform::complex128(0.0, 0.0);
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}
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static paddle::platform::complex128(max)() {
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return paddle::platform::complex128(0.0, 0.0);
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}
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static paddle::platform::complex128 epsilon() {
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return paddle::platform::complex128(0.0, 0.0);
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}
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static paddle::platform::complex128 round_error() {
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return paddle::platform::complex128(0.0, 0.0);
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}
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static paddle::platform::complex128 infinity() {
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return paddle::platform::complex128(0.0, 0.0);
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}
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static paddle::platform::complex128 quiet_NaN() {
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return paddle::platform::complex128(0.0, 0.0);
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}
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static paddle::platform::complex128 signaling_NaN() {
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return paddle::platform::complex128(0.0, 0.0);
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}
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static paddle::platform::complex128 denorm_min() {
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return paddle::platform::complex128(0.0, 0.0);
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}
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};
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} // namespace std
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namespace Eigen {
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using complex128 = paddle::platform::complex128;
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template <>
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struct NumTraits<complex128> : GenericNumTraits<std::complex<double>> {
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typedef double Real;
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typedef typename NumTraits<double>::Literal Literal;
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enum {
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IsComplex = 1,
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RequireInitialization = NumTraits<double>::RequireInitialization,
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ReadCost = 2 * NumTraits<double>::ReadCost,
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AddCost = 2 * NumTraits<Real>::AddCost,
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MulCost = 4 * NumTraits<Real>::MulCost + 2 * NumTraits<Real>::AddCost
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};
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EIGEN_DEVICE_FUNC
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static inline Real epsilon() { return NumTraits<Real>::epsilon(); }
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EIGEN_DEVICE_FUNC
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static inline Real dummy_precision() {
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return NumTraits<Real>::dummy_precision();
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}
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EIGEN_DEVICE_FUNC
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static inline int digits10() { return NumTraits<Real>::digits10(); }
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};
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namespace numext {
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template <>
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HOSTDEVICE inline bool(isnan)(const complex128& a) {
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return (paddle::platform::isnan)(a);
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}
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template <>
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HOSTDEVICE inline bool(isinf)(const complex128& a) {
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return (paddle::platform::isinf)(a);
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}
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template <>
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HOSTDEVICE inline bool(isfinite)(const complex128& a) {
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return (paddle::platform::isfinite)(a);
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}
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template <>
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HOSTDEVICE inline complex128 exp(const complex128& a) {
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double com = ::expf(a.real);
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double res_real = com * ::cosf(a.imag);
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double res_imag = com * ::sinf(a.imag);
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return complex128(res_real, res_imag);
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}
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template <>
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HOSTDEVICE inline complex128 log(const complex128& a) {
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return paddle::platform::log(a);
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}
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template <>
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HOSTDEVICE inline complex128 tanh(const complex128& a) {
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return paddle::platform::tanh(a);
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}
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template <>
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HOSTDEVICE inline complex128 sqrt(const complex128& a) {
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return paddle::platform::sqrt(a);
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}
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template <>
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HOSTDEVICE inline complex128 ceil(const complex128& a) {
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return complex128(::ceilf(a.real), ::ceilf(a.imag));
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}
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template <>
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HOSTDEVICE inline complex128 floor(const complex128& a) {
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return complex128(::floorf(a.real), ::floor(a.imag));
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}
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template <>
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HOSTDEVICE inline complex128 round(const complex128& a) {
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return complex128(::roundf(a.real), ::roundf(a.imag));
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}
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template <>
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HOSTDEVICE inline complex128 pow(const complex128& a, const complex128& b) {
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return paddle::platform::pow(a, b);
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}
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template <>
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HOSTDEVICE inline double abs(const complex128& a) {
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return paddle::platform::abs(a);
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}
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} // namespace numext
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} // namespace Eigen
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#define MKL_Complex16 paddle::platform::complex128
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