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							15 KiB
						
					
					
				
			
		
		
	
	
							518 lines
						
					
					
						
							15 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 <complex>
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#include <cstring>
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#include <iostream>
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#include <limits>
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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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#ifdef PADDLE_WITH_HIP
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#include <hip/hip_complex.h>
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#include <thrust/complex.h>  // NOLINT
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#endif
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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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#if (defined(__CUDACC__) || defined(__HIPCC__))
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#define HOSTDEVICE __host__ __device__
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#define DEVICE __device__
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#define HOST __host__
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#else
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#define HOSTDEVICE
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#define DEVICE
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#define HOST
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#endif
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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) || defined(PADDLE_WITH_HIP)
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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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#ifdef PADDLE_WITH_HIP
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  HOSTDEVICE inline explicit operator hipDoubleComplex() const {
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    return make_hipDoubleComplex(real, imag);
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  }
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#else
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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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#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__) || defined(__HIPCC__)
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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__) || defined(__HIPCC__)
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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__) || defined(__HIPCC__)
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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__) || defined(__HIPCC__)
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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__) || defined(__HIPCC__)
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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__) || defined(__HIPCC__)
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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__) || defined(__HIPCC__)
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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__) || defined(__HIPCC__)
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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__) || defined(__HIPCC__)
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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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  // __isnanf not supported on HIP platform
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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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  // __isinf not supported on HIP platform
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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__) || defined(__HIPCC__)
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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.real, a.imag));
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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__) || defined(__HIPCC__)
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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__) || defined(__HIPCC__)
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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__) || defined(__HIPCC__)
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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__) || defined(__HIPCC__)
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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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						|
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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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						|
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template <>
 | 
						|
struct is_unsigned<paddle::platform::complex128> {
 | 
						|
  static const bool value = false;
 | 
						|
};
 | 
						|
 | 
						|
inline bool isnan(const paddle::platform::complex128& a) {
 | 
						|
  return paddle::platform::isnan(a);
 | 
						|
}
 | 
						|
 | 
						|
inline bool isinf(const paddle::platform::complex128& a) {
 | 
						|
  return paddle::platform::isinf(a);
 | 
						|
}
 | 
						|
 | 
						|
template <>
 | 
						|
struct numeric_limits<paddle::platform::complex128> {
 | 
						|
  static const bool is_specialized = false;
 | 
						|
  static const bool is_signed = false;
 | 
						|
  static const bool is_integer = false;
 | 
						|
  static const bool is_exact = false;
 | 
						|
  static const bool has_infinity = false;
 | 
						|
  static const bool has_quiet_NaN = false;
 | 
						|
  static const bool has_signaling_NaN = false;
 | 
						|
  static const float_denorm_style has_denorm = denorm_absent;
 | 
						|
  static const bool has_denorm_loss = false;
 | 
						|
  static const std::float_round_style round_style = std::round_toward_zero;
 | 
						|
  static const bool is_iec559 = false;
 | 
						|
  static const bool is_bounded = false;
 | 
						|
  static const bool is_modulo = false;
 | 
						|
  static const int digits = 0;
 | 
						|
  static const int digits10 = 0;
 | 
						|
  static const int max_digits10 = 0;
 | 
						|
  static const int radix = 0;
 | 
						|
  static const int min_exponent = 0;
 | 
						|
  static const int min_exponent10 = 0;
 | 
						|
  static const int max_exponent = 0;
 | 
						|
  static const int max_exponent10 = 0;
 | 
						|
  static const bool traps = false;
 | 
						|
  static const bool tinyness_before = false;
 | 
						|
 | 
						|
  static paddle::platform::complex128(min)() {
 | 
						|
    return paddle::platform::complex128(0.0, 0.0);
 | 
						|
  }
 | 
						|
  static paddle::platform::complex128 lowest() {
 | 
						|
    return paddle::platform::complex128(0.0, 0.0);
 | 
						|
  }
 | 
						|
  static paddle::platform::complex128(max)() {
 | 
						|
    return paddle::platform::complex128(0.0, 0.0);
 | 
						|
  }
 | 
						|
  static paddle::platform::complex128 epsilon() {
 | 
						|
    return paddle::platform::complex128(0.0, 0.0);
 | 
						|
  }
 | 
						|
  static paddle::platform::complex128 round_error() {
 | 
						|
    return paddle::platform::complex128(0.0, 0.0);
 | 
						|
  }
 | 
						|
  static paddle::platform::complex128 infinity() {
 | 
						|
    return paddle::platform::complex128(0.0, 0.0);
 | 
						|
  }
 | 
						|
  static paddle::platform::complex128 quiet_NaN() {
 | 
						|
    return paddle::platform::complex128(0.0, 0.0);
 | 
						|
  }
 | 
						|
  static paddle::platform::complex128 signaling_NaN() {
 | 
						|
    return paddle::platform::complex128(0.0, 0.0);
 | 
						|
  }
 | 
						|
  static paddle::platform::complex128 denorm_min() {
 | 
						|
    return paddle::platform::complex128(0.0, 0.0);
 | 
						|
  }
 | 
						|
};
 | 
						|
 | 
						|
}  // namespace std
 | 
						|
 | 
						|
#define MKL_Complex16 paddle::platform::complex128
 |