diff --git a/paddle/fluid/platform/complex128.h b/paddle/fluid/platform/complex128.h
deleted file mode 100644
index da2f83c3497cce7b162336360690e1e76bce8b19..0000000000000000000000000000000000000000
--- a/paddle/fluid/platform/complex128.h
+++ /dev/null
@@ -1,535 +0,0 @@
-// Copyright (c) 2020 PaddlePaddle Authors. All Rights Reserved.
-//
-// Licensed under the Apache License, Version 2.0 (the "License");
-// you may not use this file except in compliance with the License.
-// You may obtain a copy of the License at
-//
-//     http://www.apache.org/licenses/LICENSE-2.0
-//
-// Unless required by applicable law or agreed to in writing, software
-// distributed under the License is distributed on an "AS IS" BASIS,
-// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-// See the License for the specific language governing permissions and
-// limitations under the License.
-
-#pragma once
-
-#include <stdint.h>
-
-#include <complex>
-#include <cstring>
-#include <iostream>
-#include <limits>
-
-#ifdef PADDLE_WITH_CUDA
-#include <cuComplex.h>
-#include <thrust/complex.h>
-#endif  // PADDLE_WITH_CUDA
-
-#ifdef PADDLE_WITH_HIP
-#include <hip/hip_complex.h>
-#include <thrust/complex.h>  // NOLINT
-#endif
-
-#if !defined(_WIN32)
-#define PADDLE_ALIGN(x) __attribute__((aligned(x)))
-#else
-#define PADDLE_ALIGN(x) __declspec(align(x))
-#endif
-
-#if (defined(__CUDACC__) || defined(__HIPCC__))
-#define HOSTDEVICE __host__ __device__
-#define DEVICE __device__
-#define HOST __host__
-#else
-#define HOSTDEVICE
-#define DEVICE
-#define HOST
-#endif
-
-#if defined(PADDLE_WITH_CUDA) || defined(PADDLE_WITH_HIP)
-#define PADDLE_WITH_CUDA_OR_HIP_COMPLEX128
-#endif
-
-namespace paddle {
-namespace platform {
-
-struct PADDLE_ALIGN(16) complex128 {
- public:
-  double real;
-  double imag;
-
-  complex128() = default;
-  complex128(const complex128& o) = default;
-  complex128& operator=(const complex128& o) = default;
-  complex128(complex128&& o) = default;
-  complex128& operator=(complex128&& o) = default;
-  ~complex128() = default;
-
-  HOSTDEVICE complex128(double real, double imag) : real(real), imag(imag) {}
-#if defined(PADDLE_WITH_CUDA) || defined(PADDLE_WITH_HIP)
-
-  HOSTDEVICE inline explicit complex128(const thrust::complex<double>& c) {
-    real = c.real();
-    imag = c.imag();
-  }
-
-  HOSTDEVICE inline explicit operator thrust::complex<double>() const {
-    return thrust::complex<double>(real, imag);
-  }
-
-#ifdef PADDLE_WITH_HIP
-  HOSTDEVICE inline explicit operator hipDoubleComplex() const {
-    return make_hipDoubleComplex(real, imag);
-  }
-#else
-  HOSTDEVICE inline explicit operator cuDoubleComplex() const {
-    return make_cuDoubleComplex(real, imag);
-  }
-#endif
-#endif
-
-  HOSTDEVICE complex128(const float& val)
-      : real(static_cast<double>(val)), imag(0) {}
-  HOSTDEVICE complex128(const double& val) : real(val), imag(0) {}
-  HOSTDEVICE complex128(const int& val)
-      : real(static_cast<double>(val)), imag(0) {}
-  HOSTDEVICE complex128(const int64_t& val)
-      : real(static_cast<double>(val)), imag(0) {}
-
-  HOSTDEVICE inline explicit operator std::complex<double>() {
-    return static_cast<std::complex<double>>(std::complex<double>(real, imag));
-  }
-
-  template <class T>
-  HOSTDEVICE inline explicit complex128(const T& val)
-      : real(complex128(static_cast<double>(val)).real) {}
-
-  HOSTDEVICE complex128(const std::complex<double> val)
-      : real(val.real()), imag(val.imag()) {}
-
-  HOSTDEVICE inline complex128& operator=(bool b) {
-    real = b ? 1 : 0;
-    imag = 0;
-    return *this;
-  }
-
-  HOSTDEVICE inline complex128& operator=(int8_t val) {
-    real = static_cast<double>(val);
-    imag = 0;
-    return *this;
-  }
-
-  HOSTDEVICE inline complex128& operator=(uint8_t val) {
-    real = static_cast<double>(val);
-    imag = 0;
-    return *this;
-  }
-
-  HOSTDEVICE inline complex128& operator=(int16_t val) {
-    real = static_cast<double>(val);
-    imag = 0;
-    return *this;
-  }
-
-  HOSTDEVICE inline complex128& operator=(uint16_t val) {
-    real = static_cast<double>(val);
-    imag = 0;
-    return *this;
-  }
-
-  HOSTDEVICE inline complex128& operator=(int32_t val) {
-    real = static_cast<double>(val);
-    imag = 0;
-    return *this;
-  }
-
-  HOSTDEVICE inline complex128& operator=(uint32_t val) {
-    real = static_cast<double>(val);
-    imag = 0;
-    return *this;
-  }
-
-  HOSTDEVICE inline complex128& operator=(int64_t val) {
-    real = static_cast<double>(val);
-    imag = 0;
-    return *this;
-  }
-
-  HOSTDEVICE inline complex128& operator=(uint64_t val) {
-    real = static_cast<double>(val);
-    imag = 0;
-    return *this;
-  }
-
-  HOSTDEVICE inline complex128& operator=(float val) {
-    real = val;
-    imag = 0;
-    return *this;
-  }
-
-  HOSTDEVICE inline complex128& operator=(double val) {
-    real = static_cast<double>(val);
-    imag = 0;
-    return *this;
-  }
-
-  HOSTDEVICE inline operator float() const {
-    return static_cast<float>(this->real);
-  }
-
-  HOSTDEVICE inline explicit operator bool() const {
-    return static_cast<bool>(this->real) || static_cast<bool>(this->imag);
-  }
-
-  HOSTDEVICE inline explicit operator int8_t() const {
-    return static_cast<int8_t>(this->real);
-  }
-
-  HOSTDEVICE inline explicit operator uint8_t() const {
-    return static_cast<uint8_t>(this->real);
-  }
-
-  HOSTDEVICE inline explicit operator int16_t() const {
-    return static_cast<int16_t>(this->real);
-  }
-
-  HOSTDEVICE inline explicit operator uint16_t() const {
-    return static_cast<uint16_t>(this->real);
-  }
-
-  HOSTDEVICE inline explicit operator int32_t() const {
-    return static_cast<int32_t>(this->real);
-  }
-
-  HOSTDEVICE inline explicit operator uint32_t() const {
-    return static_cast<uint32_t>(this->real);
-  }
-
-  HOSTDEVICE inline explicit operator int64_t() const {
-    return static_cast<int64_t>(this->real);
-  }
-
-  HOSTDEVICE inline explicit operator uint64_t() const {
-    return static_cast<uint64_t>(this->real);
-  }
-
-  HOSTDEVICE inline explicit operator double() const {
-    return static_cast<double>(this->real);
-  }
-};
-
-HOSTDEVICE inline complex128 operator+(const complex128& a,
-                                       const complex128& b) {
-#if defined(PADDLE_WITH_CUDA_OR_HIP_COMPLEX128) && \
-    (defined(__CUDA_ARCH__) || defined(__HIPCC__))
-  return complex128(thrust::complex<double>(a.real, a.imag) +
-                    thrust::complex<double>(b.real, b.imag));
-#else
-  return complex128(a.real + b.real, a.imag + b.imag);
-#endif
-}
-
-HOSTDEVICE inline complex128 operator-(const complex128& a,
-                                       const complex128& b) {
-#if defined(PADDLE_WITH_CUDA_OR_HIP_COMPLEX128) && \
-    (defined(__CUDA_ARCH__) || defined(__HIPCC__))
-  return complex128(thrust::complex<double>(a.real, a.imag) -
-                    thrust::complex<double>(b.real, b.imag));
-#else
-  return complex128(a.real - b.real, a.imag - b.imag);
-#endif
-}
-
-HOSTDEVICE inline complex128 operator*(const complex128& a,
-                                       const complex128& b) {
-#if defined(PADDLE_WITH_CUDA_OR_HIP_COMPLEX128) && \
-    (defined(__CUDA_ARCH__) || defined(__HIPCC__))
-  return complex128(thrust::complex<double>(a.real, a.imag) *
-                    thrust::complex<double>(b.real, b.imag));
-#else
-  return complex128(a.real * b.real - a.imag * b.imag,
-                    a.imag * b.real + b.imag * a.real);
-#endif
-}
-
-HOSTDEVICE inline complex128 operator/(const complex128& a,
-                                       const complex128& b) {
-#if defined(PADDLE_WITH_CUDA_OR_HIP_COMPLEX128) && \
-    (defined(__CUDA_ARCH__) || defined(__HIPCC__))
-  return complex128(thrust::complex<double>(a.real, a.imag) /
-                    thrust::complex<double>(b.real, b.imag));
-#else
-  double denominator = b.real * b.real + b.imag * b.imag;
-  return complex128((a.real * b.real + a.imag * b.imag) / denominator,
-                    (a.imag * b.real - a.real * b.imag) / denominator);
-#endif
-}
-
-HOSTDEVICE inline complex128 operator-(const complex128& a) {
-#if defined(PADDLE_WITH_CUDA_OR_HIP_COMPLEX128) && \
-    (defined(__CUDA_ARCH__) || defined(__HIPCC__))
-  return complex128(-thrust::complex<double>(a.real, a.imag));
-#else
-  complex128 res;
-  res.real = -a.real;
-  res.imag = -a.imag;
-  return res;
-#endif
-}
-
-HOSTDEVICE inline complex128& operator+=(complex128& a,  // NOLINT
-                                         const complex128& b) {
-#if defined(PADDLE_WITH_CUDA_OR_HIP_COMPLEX128) && \
-    (defined(__CUDA_ARCH__) || defined(__HIPCC__))
-  a = complex128(thrust::complex<double>(a.real, a.imag) +=
-                 thrust::complex<double>(b.real, b.imag));
-  return a;
-#else
-  a.real += b.real;
-  a.imag += b.imag;
-  return a;
-#endif
-}
-
-HOSTDEVICE inline complex128& operator-=(complex128& a,  // NOLINT
-                                         const complex128& b) {
-#if defined(PADDLE_WITH_CUDA_OR_HIP_COMPLEX128) && \
-    (defined(__CUDA_ARCH__) || defined(__HIPCC__))
-  a = complex128(thrust::complex<double>(a.real, a.imag) -=
-                 thrust::complex<double>(b.real, b.imag));
-  return a;
-#else
-  a.real -= b.real;
-  a.imag -= b.imag;
-  return a;
-#endif
-}
-
-HOSTDEVICE inline complex128& operator*=(complex128& a,  // NOLINT
-                                         const complex128& b) {
-#if defined(PADDLE_WITH_CUDA_OR_HIP_COMPLEX128) && \
-    (defined(__CUDA_ARCH__) || defined(__HIPCC__))
-  a = complex128(thrust::complex<double>(a.real, a.imag) *=
-                 thrust::complex<double>(b.real, b.imag));
-  return a;
-#else
-  a.real = a.real * b.real - a.imag * b.imag;
-  a.imag = a.imag * b.real + b.imag * a.real;
-  return a;
-#endif
-}
-
-HOSTDEVICE inline complex128& operator/=(complex128& a,  // NOLINT
-                                         const complex128& b) {
-#if defined(PADDLE_WITH_CUDA_OR_HIP_COMPLEX128) && \
-    (defined(__CUDA_ARCH__) || defined(__HIPCC__))
-  a = complex128(thrust::complex<double>(a.real, a.imag) /=
-                 thrust::complex<double>(b.real, b.imag));
-  return a;
-#else
-  double denominator = b.real * b.real + b.imag * b.imag;
-  a.real = (a.real * b.real + a.imag * b.imag) / denominator;
-  a.imag = (a.imag * b.real - a.real * b.imag) / denominator;
-  return a;
-#endif
-}
-
-HOSTDEVICE inline complex128 raw_uint16_to_complex128(uint16_t a) {
-  complex128 res;
-  res.real = a;
-  return res;
-}
-
-HOSTDEVICE inline bool operator==(const complex128& a, const complex128& b) {
-  return a.real == b.real && a.imag == b.imag;
-}
-
-HOSTDEVICE inline bool operator!=(const complex128& a, const complex128& b) {
-  return a.real != b.real || a.imag != b.imag;
-}
-
-HOSTDEVICE inline bool operator<(const complex128& a, const complex128& b) {
-  return static_cast<double>(a.real) < static_cast<double>(b.real);
-}
-
-HOSTDEVICE inline bool operator<=(const complex128& a, const complex128& b) {
-  return static_cast<double>(a.real) <= static_cast<double>(b.real);
-}
-
-HOSTDEVICE inline bool operator>(const complex128& a, const complex128& b) {
-  return static_cast<double>(a.real) > static_cast<double>(b.real);
-}
-
-HOSTDEVICE inline bool operator>=(const complex128& a, const complex128& b) {
-  return static_cast<double>(a.real) >= static_cast<double>(b.real);
-}
-
-HOSTDEVICE inline bool(isnan)(const complex128& a) {
-#if defined(PADDLE_WITH_CUDA) && defined(__CUDA_ARCH__)
-  // __isnanf not supported on HIP platform
-  return __isnan(a.real) || __isnan(a.imag);
-#else
-  return std::isnan(a.real) || std::isnan(a.imag);
-#endif
-}
-
-HOSTDEVICE inline bool(isinf)(const complex128& a) {
-#if defined(PADDLE_WITH_CUDA) && defined(__CUDA_ARCH__)
-  // __isinf not supported on HIP platform
-  return __isinf(a.real) || __isinf(a.imag);
-#else
-  return std::isinf(a.real) || std::isinf(a.imag);
-#endif
-}
-
-HOSTDEVICE inline bool(isfinite)(const complex128& a) {
-  return !((isnan)(a)) && !((isinf)(a));
-}
-
-HOSTDEVICE inline double(abs)(const complex128& a) {
-#if defined(PADDLE_WITH_CUDA_OR_HIP_COMPLEX128) && \
-    (defined(__CUDA_ARCH__) || defined(__HIPCC__))
-  return thrust::abs(thrust::complex<double>(a.real, a.imag));
-#else
-  return std::abs(std::complex<double>(a.real, a.imag));
-#endif
-}
-
-HOSTDEVICE inline complex128(pow)(const complex128& a, const complex128& b) {
-#if defined(PADDLE_WITH_CUDA_OR_HIP_COMPLEX128) && \
-    (defined(__CUDA_ARCH__) || defined(__HIPCC__))
-  return complex128(thrust::pow(thrust::complex<double>(a.real, a.imag),
-                                thrust::complex<double>(b.real, b.imag)));
-#else
-  return std::pow(std::complex<double>(a), std::complex<float>(b));
-#endif
-}
-
-HOSTDEVICE inline complex128(sqrt)(const complex128& a) {
-#if defined(PADDLE_WITH_CUDA_OR_HIP_COMPLEX128) && \
-    (defined(__CUDA_ARCH__) || defined(__HIPCC__))
-  return complex128(thrust::sqrt(thrust::complex<double>(a.real, a.imag)));
-#else
-  return std::sqrt(std::complex<double>(a));
-#endif
-}
-
-HOSTDEVICE inline complex128(tanh)(const complex128& a) {
-#if defined(PADDLE_WITH_CUDA_OR_HIP_COMPLEX128) && \
-    (defined(__CUDA_ARCH__) || defined(__HIPCC__))
-  return complex128(thrust::tanh(thrust::complex<double>(a.real, a.imag)));
-#else
-  return std::tanh(std::complex<double>(a));
-#endif
-}
-
-HOSTDEVICE inline complex128(log)(const complex128& a) {
-#if defined(PADDLE_WITH_CUDA_OR_HIP_COMPLEX128) && \
-    (defined(__CUDA_ARCH__) || defined(__HIPCC__))
-  return complex128(thrust::log(thrust::complex<double>(a.real, a.imag)));
-#else
-  return complex128(std::log(std::complex<double>(a)));
-#endif
-}
-
-inline std::ostream& operator<<(std::ostream& os, const complex128& a) {
-  os << "real:" << a.real << " imag:" << a.imag;
-  return os;
-}
-
-}  // namespace platform
-}  // namespace paddle
-
-namespace std {
-
-template <>
-struct is_pod<paddle::platform::complex128> {
-  static const bool value =
-      is_trivial<paddle::platform::complex128>::value &&
-      is_standard_layout<paddle::platform::complex128>::value;
-};
-
-template <>
-struct is_floating_point<paddle::platform::complex128>
-    : std::integral_constant<
-          bool, std::is_same<paddle::platform::complex128,
-                             typename std::remove_cv<
-                                 paddle::platform::complex128>::type>::value> {
-};
-template <>
-struct is_signed<paddle::platform::complex128> {
-  static const bool value = false;
-};
-
-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
diff --git a/paddle/fluid/platform/eigen_ext.h b/paddle/fluid/platform/eigen_ext.h
index 49bd57f0406d63ba2421025e9592004e75cea2d4..09b8c8137fcd1f8e222562295cc28a2f2b1b7a67 100644
--- a/paddle/fluid/platform/eigen_ext.h
+++ b/paddle/fluid/platform/eigen_ext.h
@@ -16,7 +16,6 @@
 
 #include "paddle/fluid/platform/bfloat16.h"
 #include "paddle/fluid/platform/complex.h"
-#include "paddle/fluid/platform/complex128.h"
 #include "paddle/fluid/platform/float16.h"
 #include "paddle/fluid/platform/hostdevice.h"
 
@@ -24,7 +23,6 @@
 
 namespace Eigen {
 
-using complex128 = paddle::platform::complex128;
 using float16 = paddle::platform::float16;
 template <typename T>
 using complex = paddle::platform::complex<T>;
@@ -62,28 +60,6 @@ struct NumTraits<paddle::platform::bfloat16>
   }
 };
 
-template <>
-struct NumTraits<complex128> : GenericNumTraits<std::complex<double>> {
-  typedef double Real;
-  typedef typename NumTraits<double>::Literal Literal;
-  enum {
-    IsComplex = 1,
-    RequireInitialization = NumTraits<double>::RequireInitialization,
-    ReadCost = 2 * NumTraits<double>::ReadCost,
-    AddCost = 2 * NumTraits<Real>::AddCost,
-    MulCost = 4 * NumTraits<Real>::MulCost + 2 * NumTraits<Real>::AddCost
-  };
-
-  EIGEN_DEVICE_FUNC
-  static inline Real epsilon() { return NumTraits<Real>::epsilon(); }
-  EIGEN_DEVICE_FUNC
-  static inline Real dummy_precision() {
-    return NumTraits<Real>::dummy_precision();
-  }
-  EIGEN_DEVICE_FUNC
-  static inline int digits10() { return NumTraits<Real>::digits10(); }
-};
-
 template <>
 struct NumTraits<complex<float>> : GenericNumTraits<std::complex<float>> {
   typedef float Real;
@@ -247,71 +223,6 @@ HOSTDEVICE inline paddle::platform::bfloat16 maxi(
   return a < b ? b : a;
 }
 
-//////////// complex128 methods /////////////
-
-template <>
-HOSTDEVICE inline bool(isnan)(const complex128& a) {
-  return (paddle::platform::isnan)(a);
-}
-
-template <>
-HOSTDEVICE inline bool(isinf)(const complex128& a) {
-  return (paddle::platform::isinf)(a);
-}
-
-template <>
-HOSTDEVICE inline bool(isfinite)(const complex128& a) {
-  return (paddle::platform::isfinite)(a);
-}
-
-template <>
-HOSTDEVICE inline complex128 exp(const complex128& a) {
-  double com = ::expf(a.real);
-  double res_real = com * ::cosf(a.imag);
-  double res_imag = com * ::sinf(a.imag);
-  return complex128(res_real, res_imag);
-}
-
-template <>
-HOSTDEVICE inline complex128 log(const complex128& a) {
-  return paddle::platform::log(a);
-}
-
-template <>
-HOSTDEVICE inline complex128 tanh(const complex128& a) {
-  return paddle::platform::tanh(a);
-}
-
-template <>
-HOSTDEVICE inline complex128 sqrt(const complex128& a) {
-  return paddle::platform::sqrt(a);
-}
-
-template <>
-HOSTDEVICE inline complex128 ceil(const complex128& a) {
-  return complex128(::ceilf(a.real), ::ceilf(a.imag));
-}
-
-template <>
-HOSTDEVICE inline complex128 floor(const complex128& a) {
-  return complex128(::floorf(a.real), ::floor(a.imag));
-}
-
-template <>
-HOSTDEVICE inline complex128 round(const complex128& a) {
-  return complex128(::roundf(a.real), ::roundf(a.imag));
-}
-
-template <>
-HOSTDEVICE inline complex128 pow(const complex128& a, const complex128& b) {
-  return paddle::platform::pow(a, b);
-}
-
-template <>
-HOSTDEVICE inline double abs(const complex128& a) {
-  return paddle::platform::abs(a);
-}
-
 //////////// complex<float> methods /////////////
 
 template <>