diff --git a/paddle/fluid/operators/fill_constant_op.cc b/paddle/fluid/operators/fill_constant_op.cc
index f35d8b6bbf89f188864e37fb267101333163cd41..d465e77ea1886f7f35549a043951048fb2bcb61d 100644
--- a/paddle/fluid/operators/fill_constant_op.cc
+++ b/paddle/fluid/operators/fill_constant_op.cc
@@ -147,16 +147,15 @@ REGISTER_OPERATOR(
     paddle::framework::EmptyGradOpMaker<paddle::framework::OpDesc>,
     paddle::framework::EmptyGradOpMaker<paddle::imperative::OpBase>);
 
-REGISTER_OP_CPU_KERNEL(fill_constant, ops::FillConstantKernel<float>,
-                       ops::FillConstantKernel<double>,
-                       ops::FillConstantKernel<uint8_t>,
-                       ops::FillConstantKernel<int64_t>,
-                       ops::FillConstantKernel<int>,
-                       ops::FillConstantKernel<bool>,
-                       ops::FillConstantKernel<paddle::platform::float16>,
-                       ops::FillConstantKernel<paddle::platform::bfloat16>,
-                       ops::FillConstantKernel<paddle::platform::complex64>,
-                       ops::FillConstantKernel<paddle::platform::complex128>);
+REGISTER_OP_CPU_KERNEL(
+    fill_constant, ops::FillConstantKernel<float>,
+    ops::FillConstantKernel<double>, ops::FillConstantKernel<uint8_t>,
+    ops::FillConstantKernel<int64_t>, ops::FillConstantKernel<int>,
+    ops::FillConstantKernel<bool>,
+    ops::FillConstantKernel<paddle::platform::float16>,
+    ops::FillConstantKernel<paddle::platform::bfloat16>,
+    ops::FillConstantKernel<paddle::platform::complex<float>>,
+    ops::FillConstantKernel<paddle::platform::complex<double>>);
 
 REGISTER_OP_VERSION(fill_constant)
     .AddCheckpoint(
diff --git a/paddle/fluid/operators/fill_constant_op.cu.cc b/paddle/fluid/operators/fill_constant_op.cu.cc
index e784c20b8b8b4f9fa61b3bcebf481a989d4bb033..a862cda13888ee7086d8ce17511b9851a36d18a6 100644
--- a/paddle/fluid/operators/fill_constant_op.cu.cc
+++ b/paddle/fluid/operators/fill_constant_op.cu.cc
@@ -15,12 +15,11 @@ limitations under the License. */
 #include "paddle/fluid/operators/fill_constant_op.h"
 
 namespace ops = paddle::operators;
-REGISTER_OP_CUDA_KERNEL(fill_constant, ops::FillConstantKernel<float>,
-                        ops::FillConstantKernel<double>,
-                        ops::FillConstantKernel<uint8_t>,
-                        ops::FillConstantKernel<int64_t>,
-                        ops::FillConstantKernel<int>,
-                        ops::FillConstantKernel<bool>,
-                        ops::FillConstantKernel<paddle::platform::float16>,
-                        ops::FillConstantKernel<paddle::platform::complex64>,
-                        ops::FillConstantKernel<paddle::platform::complex128>);
+REGISTER_OP_CUDA_KERNEL(
+    fill_constant, ops::FillConstantKernel<float>,
+    ops::FillConstantKernel<double>, ops::FillConstantKernel<uint8_t>,
+    ops::FillConstantKernel<int64_t>, ops::FillConstantKernel<int>,
+    ops::FillConstantKernel<bool>,
+    ops::FillConstantKernel<paddle::platform::float16>,
+    ops::FillConstantKernel<paddle::platform::complex<float>>,
+    ops::FillConstantKernel<paddle::platform::complex<double>>);
diff --git a/paddle/fluid/operators/fill_constant_op_xpu.cc b/paddle/fluid/operators/fill_constant_op_xpu.cc
index 16dd4c9292f89a05d58cfc1d821c5a43f45f5add..d55b8e2b81b52f173dc2f8f158a2f42ae7abd7eb 100644
--- a/paddle/fluid/operators/fill_constant_op_xpu.cc
+++ b/paddle/fluid/operators/fill_constant_op_xpu.cc
@@ -15,11 +15,10 @@ limitations under the License. */
 
 namespace ops = paddle::operators;
 #ifdef PADDLE_WITH_XPU
-REGISTER_OP_XPU_KERNEL(fill_constant, ops::FillConstantKernel<float>,
-                       ops::FillConstantKernel<int64_t>,
-                       ops::FillConstantKernel<double>,
-                       ops::FillConstantKernel<bool>,
-                       ops::FillConstantKernel<int>,
-                       ops::FillConstantKernel<paddle::platform::complex64>,
-                       ops::FillConstantKernel<paddle::platform::complex128>);
+REGISTER_OP_XPU_KERNEL(
+    fill_constant, ops::FillConstantKernel<float>,
+    ops::FillConstantKernel<int64_t>, ops::FillConstantKernel<double>,
+    ops::FillConstantKernel<bool>, ops::FillConstantKernel<int>,
+    ops::FillConstantKernel<paddle::platform::complex<float>>,
+    ops::FillConstantKernel<paddle::platform::complex<double>>);
 #endif
diff --git a/paddle/fluid/operators/py_layer_op.cc b/paddle/fluid/operators/py_layer_op.cc
index f91496eeab142071fcf87c929cf1327d9b53808d..c2f68675beb6214134cd0f73a2ef40f674e4d935 100644
--- a/paddle/fluid/operators/py_layer_op.cc
+++ b/paddle/fluid/operators/py_layer_op.cc
@@ -199,9 +199,9 @@ REGISTER_OP_CPU_KERNEL(
     ops::PyLayerOpKernel<paddle::platform::CPUDeviceContext, int16_t>,
     ops::PyLayerOpKernel<paddle::platform::CPUDeviceContext, int8_t>,
     ops::PyLayerOpKernel<paddle::platform::CPUDeviceContext,
-                         ::paddle::platform::complex64>,
+                         ::paddle::platform::complex<float>>,
     ops::PyLayerOpKernel<paddle::platform::CPUDeviceContext,
-                         ::paddle::platform::complex128>);
+                         ::paddle::platform::complex<double>>);
 #ifdef PADDLE_WITH_CUDA
 REGISTER_OP_CUDA_KERNEL(
     py_layer, ops::PyLayerOpKernel<paddle::platform::CUDADeviceContext, float>,
@@ -218,7 +218,7 @@ REGISTER_OP_CUDA_KERNEL(
     ops::PyLayerOpKernel<paddle::platform::CUDADeviceContext, int16_t>,
     ops::PyLayerOpKernel<paddle::platform::CUDADeviceContext, int8_t>,
     ops::PyLayerOpKernel<paddle::platform::CUDADeviceContext,
-                         ::paddle::platform::complex64>,
+                         ::paddle::platform::complex<float>>,
     ops::PyLayerOpKernel<paddle::platform::CUDADeviceContext,
-                         ::paddle::platform::complex128>);
+                         ::paddle::platform::complex<double>>);
 #endif  // PADDLE_WITH_CUDA
diff --git a/paddle/fluid/operators/reduce_ops/reduce_sum_op.part.cu b/paddle/fluid/operators/reduce_ops/reduce_sum_op.part.cu
index 67de8bb9a0c1ab4ae917b7e267fc2748087d900e..230bae0cdd4b1362329740783ee623d1809849d8 100644
--- a/paddle/fluid/operators/reduce_ops/reduce_sum_op.part.cu
+++ b/paddle/fluid/operators/reduce_ops/reduce_sum_op.part.cu
@@ -20,10 +20,9 @@ using CUDAReduceSumGradKernel =
     ops::ReduceGradKernel<paddle::platform::CUDADeviceContext, T,
                           ops::SumGradFunctor, true>;
 
-REGISTER_OP_CUDA_KERNEL(reduce_sum_grad, CUDAReduceSumGradKernel<bool>,
-                        CUDAReduceSumGradKernel<float>,
-                        CUDAReduceSumGradKernel<double>,
-                        CUDAReduceSumGradKernel<int>,
-                        CUDAReduceSumGradKernel<int64_t>,
-                        CUDAReduceSumGradKernel<paddle::platform::complex64>,
-                        CUDAReduceSumGradKernel<paddle::platform::complex128>);
+REGISTER_OP_CUDA_KERNEL(
+    reduce_sum_grad, CUDAReduceSumGradKernel<bool>,
+    CUDAReduceSumGradKernel<float>, CUDAReduceSumGradKernel<double>,
+    CUDAReduceSumGradKernel<int>, CUDAReduceSumGradKernel<int64_t>,
+    CUDAReduceSumGradKernel<paddle::platform::complex<float>>,
+    CUDAReduceSumGradKernel<paddle::platform::complex<double>>);
diff --git a/paddle/fluid/operators/strided_slice_op.cc b/paddle/fluid/operators/strided_slice_op.cc
index e49476e4dc7d4a0eb5d4bb996e935b30dafd55d0..d71be60e1f5c22dc0a43d1d035044c1b96c86c41 100644
--- a/paddle/fluid/operators/strided_slice_op.cc
+++ b/paddle/fluid/operators/strided_slice_op.cc
@@ -329,9 +329,9 @@ REGISTER_OP_CPU_KERNEL(
     ops::StridedSliceKernel<paddle::platform::CPUDeviceContext, float>,
     ops::StridedSliceKernel<paddle::platform::CPUDeviceContext, double>,
     ops::StridedSliceKernel<paddle::platform::CPUDeviceContext,
-                            paddle::platform::complex64>,
+                            paddle::platform::complex<float>>,
     ops::StridedSliceKernel<paddle::platform::CPUDeviceContext,
-                            paddle::platform::complex128>);
+                            paddle::platform::complex<double>>);
 
 REGISTER_OP_CPU_KERNEL(
     strided_slice_grad,
@@ -340,6 +340,6 @@ REGISTER_OP_CPU_KERNEL(
     ops::StridedSliceGradKernel<paddle::platform::CPUDeviceContext, float>,
     ops::StridedSliceGradKernel<paddle::platform::CPUDeviceContext, double>,
     ops::StridedSliceGradKernel<paddle::platform::CPUDeviceContext,
-                                paddle::platform::complex64>,
+                                paddle::platform::complex<float>>,
     ops::StridedSliceGradKernel<paddle::platform::CPUDeviceContext,
-                                paddle::platform::complex128>);
+                                paddle::platform::complex<double>>);
diff --git a/paddle/fluid/operators/strided_slice_op.cu b/paddle/fluid/operators/strided_slice_op.cu
index b85403b1c5bb886a1a08f084e899c7f27ab5e963..68a8312f0818d418a820a742a9c4b832b5a8eb5b 100644
--- a/paddle/fluid/operators/strided_slice_op.cu
+++ b/paddle/fluid/operators/strided_slice_op.cu
@@ -13,8 +13,7 @@ See the License for the specific language governing permissions and
 limitations under the License. */
 
 #include "paddle/fluid/operators/strided_slice_op.h"
-#include "paddle/fluid/platform/complex128.h"
-#include "paddle/fluid/platform/complex64.h"
+#include "paddle/fluid/platform/complex.h"
 
 namespace ops = paddle::operators;
 REGISTER_OP_CUDA_KERNEL(
@@ -24,9 +23,9 @@ REGISTER_OP_CUDA_KERNEL(
     ops::StridedSliceKernel<paddle::platform::CUDADeviceContext, float>,
     ops::StridedSliceKernel<paddle::platform::CUDADeviceContext, double>,
     ops::StridedSliceKernel<paddle::platform::CUDADeviceContext,
-                            paddle::platform::complex64>,
+                            paddle::platform::complex<float>>,
     ops::StridedSliceKernel<paddle::platform::CUDADeviceContext,
-                            paddle::platform::complex128>);
+                            paddle::platform::complex<double>>);
 
 REGISTER_OP_CUDA_KERNEL(
     strided_slice_grad,
@@ -35,6 +34,6 @@ REGISTER_OP_CUDA_KERNEL(
     ops::StridedSliceGradKernel<paddle::platform::CUDADeviceContext, float>,
     ops::StridedSliceGradKernel<paddle::platform::CUDADeviceContext, double>,
     ops::StridedSliceGradKernel<paddle::platform::CUDADeviceContext,
-                                paddle::platform::complex64>,
+                                paddle::platform::complex<float>>,
     ops::StridedSliceGradKernel<paddle::platform::CUDADeviceContext,
-                                paddle::platform::complex128>);
+                                paddle::platform::complex<double>>);