diff --git a/paddle/function/CMakeLists.txt b/paddle/function/CMakeLists.txt
index 1f54ac1231c6a..5e170714cf5b1 100644
--- a/paddle/function/CMakeLists.txt
+++ b/paddle/function/CMakeLists.txt
@@ -14,8 +14,8 @@ add_library(paddle_function STATIC ${cpp_files} ${cu_objs})
 add_dependencies(paddle_function ${external_project_dependencies})
 add_dependencies(paddle_function gen_proto_cpp)
 
-if(WITH_GPU)
 if(WITH_TESTING)
+if(WITH_GPU)
     # TODO:
     # file(GLOB test_files . *OpTest.cpp)
     # add_executable(${test_bin} EXCLUDE_FROM_ALL ${test_files})
@@ -30,6 +30,8 @@ if(WITH_TESTING)
     add_simple_unittest(CosSimOpTest)
     add_simple_unittest(RowConvOpTest)
 endif()
+
+add_simple_unittest(ConvOpTest)
 endif()
 
 add_style_check_target(paddle_function ${h_files})
diff --git a/paddle/function/ContextProjectionOpTest.cpp b/paddle/function/ContextProjectionOpTest.cpp
index 1b25172ca5c0c..9e9dd20e6f3ab 100644
--- a/paddle/function/ContextProjectionOpTest.cpp
+++ b/paddle/function/ContextProjectionOpTest.cpp
@@ -28,7 +28,7 @@ void testMatrixProjectionForward(int context_start,
                std::max(0, (int)(context_start + context_length - 1));
   if (pad == 0) is_padding = false;
 
-  FunctionCompare test(
+  CpuGpuFuncCompare test(
       "ContextProjectionForward",
       FuncConfig()
           .set("context_length", context_length)
@@ -60,7 +60,7 @@ void testMatrixProjectionBackward(int context_start,
                std::max(0, (int)(context_start + context_length - 1));
   if (pad == 0) is_padding = false;
 
-  FunctionCompare test(
+  CpuGpuFuncCompare test(
       "ContextProjectionBackward",
       FuncConfig()
           .set("context_length", context_length)
diff --git a/paddle/function/ConvOp.h b/paddle/function/ConvOp.h
new file mode 100644
index 0000000000000..65b9d1d53f921
--- /dev/null
+++ b/paddle/function/ConvOp.h
@@ -0,0 +1,146 @@
+/* Copyright (c) 2016 PaddlePaddle Authors. All Rights Reserve.
+
+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 "Function.h"
+
+namespace paddle {
+
+/*
+ * \brief Based on the ConvFunctionBase class, the forward calculation,
+ *        backward input calculation and backward filter calculation
+ *        of convolution operations can be implemented.
+ *
+ * Arguments of forward and backward calculation:
+ *   1. Forward calculation of convolution.
+ *      inputs = {INPUT, FILTER}, outputs = {OUTPUT}
+ *      The first and second input arguments are input image and filter data.
+ *      The output argument is output image.
+ *
+ *   2. Backward input calculation of convolution.
+ *      inputs = {OUTPUT_GRAD, FILTER}, outputs = {INPUT_GRAD}
+ *      The first and second input arguments are output grad image
+ *      and filter data.
+ *      The output argument is input grad image.
+ *
+ *   3. Backward filter calculation of convolution.
+ *      inputs = {OUTPUT_GRAD, INPUT}, outputs = {FILTER_GRAD}
+ *      The first and second input arguments are output grad image
+ *      and input image.
+ *      The output argument is filter grad.
+ *
+ * Arguments format of input, filter and output:
+ *   1. Input image, output image, input image gradient, output image gradient
+ *      are all NCHW format. Where N is batch size, C is the number of channels,
+ *      H and W is the height and width of image or image gradient.
+ *
+ *   2. The format of the filter data is MCHW, where M is the number of output
+ *      image channels, C is the number of input image channels,
+ *      H and W is height and width of filter.
+ *
+ *      If `groups` is greater than 1, the filter's data format should be GMCHW,
+ *      where G is the `groups`, and G * M is the number of output image
+ *      channels, G * C is the number of input image channels,
+ *      H and W is height and width of filter.
+ */
+class ConvFunctionBase : public FunctionBase {
+public:
+  void init(const FuncConfig& config) override {
+    // function arguments
+    strides_ = config.get<std::vector<size_t>>("strides");
+    paddings_ = config.get<std::vector<size_t>>("paddings");
+    groups_ = config.get<size_t>("groups");
+
+    // number of inputs and outputs
+    numInputs_ = 2;
+    numOutputs_ = 1;
+  }
+
+  virtual void calc(const BufferArgs& inputs, const BufferArgs& outputs) {}
+
+  // input can be INPUT and INPUT_GRAD
+  // filter can be FILTER and FILTER_GRAD
+  // output can be OUTPUT and OUTPUT_GRAD
+  void check(const TensorShape& input,
+             const TensorShape& filter,
+             const TensorShape& output) {
+    // inputs and outputs arguments should be 4-dimensional.
+    CHECK_EQ(input.ndims(), (size_t)4);
+    CHECK_EQ(output.ndims(), (size_t)4);
+    // The batchSize of the input needs to be equal to
+    // the batchSize of the output.
+    CHECK_EQ(input[0], output[0]);
+
+    if (filter.ndims() == (size_t)4) {
+      // If the filter's dimension is 4, groups convolution is not supported.
+      CHECK_EQ(groups_, (size_t)1);
+      // The input and output channel dimensions are the second and first
+      // dimensions of the filter shape.
+      CHECK_EQ(input[1], filter[1]);
+      CHECK_EQ(output[1], filter[0]);
+    } else {
+      // filter argument should be 5-dimensional.
+      CHECK_EQ(filter.ndims(), (size_t)5);
+      // The first dimension of the filter is the size of the group
+      CHECK_EQ(filter[0], groups_);
+      // The input and output channel dimensions are the third and second
+      // dimensions of the filter shape.
+      CHECK_EQ(input[1], filter[2] * groups_);
+      CHECK_EQ(output[1], filter[1] * groups_);
+    }
+  }
+
+protected:
+  size_t getFilterHeight(const TensorShape& filter) const {
+    return filter[filter.ndims() - 2];
+  }
+
+  size_t getFilterWidth(const TensorShape& filter) const {
+    return filter[filter.ndims() - 1];
+  }
+
+  std::vector<size_t> strides_;
+  std::vector<size_t> paddings_;
+
+  /// Group size, refer to grouped convolution in
+  /// Alex Krizhevsky's paper: when group=2, the first half of the
+  /// filters are only connected to the first half of the input channels,
+  /// and the second half only connected to the second half.
+  size_t groups_;
+
+  inline int strideH() const { return strides_[0]; }
+
+  inline int strideW() const { return strides_[1]; }
+
+  inline int paddingH() const { return paddings_[0]; }
+
+  inline int paddingW() const { return paddings_[1]; }
+
+  // A temporary memory in convolution calculation.
+  MemoryHandlePtr memory_;
+
+  template <DeviceType Device>
+  void resizeBuffer(size_t newSize) {
+    if (!memory_ || newSize * sizeof(real) > memory_->getAllocSize()) {
+      if (Device == DEVICE_TYPE_CPU) {
+        memory_ = std::make_shared<CpuMemoryHandle>(newSize * sizeof(real));
+      } else {
+        memory_ = std::make_shared<GpuMemoryHandle>(newSize * sizeof(real));
+      }
+    }
+  }
+};
+
+}  // namespace paddle
diff --git a/paddle/function/ConvOpTest.cpp b/paddle/function/ConvOpTest.cpp
new file mode 100644
index 0000000000000..dfa2f784610b0
--- /dev/null
+++ b/paddle/function/ConvOpTest.cpp
@@ -0,0 +1,210 @@
+/* Copyright (c) 2016 PaddlePaddle Authors. All Rights Reserve.
+
+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. */
+
+#include <gtest/gtest.h>
+#include <memory>
+#include "Function.h"
+#include "FunctionTest.h"
+
+namespace paddle {
+
+enum TestType {
+  kForwardTest = 0,
+  kBackwardInputTest = 1,
+  kBackwardFilterTest = 2,
+};
+
+template <DeviceType DType1, DeviceType DType2>
+class ConvolutionTest {
+public:
+  ConvolutionTest(const std::string& conv1,
+                  const std::string& conv2,
+                  TestType type,
+                  std::string algo = "auto") {
+    for (size_t batchSize : {1, 32}) {
+      for (size_t inputSize : {7, 14, 54}) {
+        for (size_t filterSize : {1, 3, 5}) {
+          for (size_t inputChannels : {3, 64}) {
+            for (size_t outputChannels : {3, 64, 128}) {
+              if (inputChannels < outputChannels) break;
+              for (size_t stride : {1, 2}) {
+                for (size_t padding : {0, 1}) {
+                  if (padding >= filterSize) break;
+                  size_t outputSize =
+                      (inputSize - filterSize + 2 * padding + stride) / stride;
+                  VLOG(3) << " batchSize=" << batchSize
+                          << " inputChannels=" << inputChannels
+                          << " inputHeight=" << inputSize
+                          << " inputWidth=" << inputSize
+                          << " outputChannels=" << outputChannels
+                          << " filterHeight=" << filterSize
+                          << " filterWidth=" << filterSize
+                          << " outputHeight=" << outputSize
+                          << " outputWidth=" << outputSize
+                          << " stride=" << stride << " padding=" << padding;
+
+                  std::vector<size_t> paddings = {padding, padding};
+                  std::vector<size_t> strides = {stride, stride};
+                  Compare2Function<DType1, DType2> test(
+                      conv1,
+                      conv2,
+                      FuncConfig()
+                          .set("paddings", paddings)
+                          .set("strides", strides)
+                          .set("groups", (size_t)1)
+                          .set("algo", algo));
+
+                  TensorShape input{
+                      batchSize, inputChannels, inputSize, inputSize};
+                  TensorShape filter{
+                      outputChannels, inputChannels, filterSize, filterSize};
+                  TensorShape output{
+                      batchSize, outputChannels, outputSize, outputSize};
+
+                  if (type == kForwardTest) {
+                    test.addInputs(BufferArg(VALUE_TYPE_FLOAT, input));
+                    test.addInputs(BufferArg(VALUE_TYPE_FLOAT, filter));
+                    test.addOutputs(BufferArg(VALUE_TYPE_FLOAT, output));
+                    test.run();
+                  } else if (type == kBackwardInputTest) {
+                    test.addInputs(BufferArg(VALUE_TYPE_FLOAT, output));
+                    test.addInputs(BufferArg(VALUE_TYPE_FLOAT, filter));
+                    test.addOutputs(BufferArg(VALUE_TYPE_FLOAT, input), ADD_TO);
+                    test.run();
+                  } else if (type == kBackwardFilterTest) {
+                    test.addInputs(BufferArg(VALUE_TYPE_FLOAT, output));
+                    test.addInputs(BufferArg(VALUE_TYPE_FLOAT, input));
+                    test.addOutputs(BufferArg(VALUE_TYPE_FLOAT, filter));
+                    test.run();
+                  }
+                }
+              }
+            }
+          }
+        }
+      }
+    }
+  }
+};
+
+// Mainly used to test cases where the height and width (input, filter)
+// are not equal.
+template <DeviceType DType1, DeviceType DType2>
+class ConvolutionTest2 {
+public:
+  ConvolutionTest2(const std::string& conv1,
+                   const std::string& conv2,
+                   TestType type,
+                   std::string algo = "auto") {
+    for (size_t batchSize : {16}) {
+      for (size_t inputHeight : {7, 31}) {
+        for (size_t inputWidth : {10, 54}) {
+          for (size_t filterHeight : {1, 5}) {
+            for (size_t filterWidth : {3, 7}) {
+              for (size_t inputChannels : {7}) {
+                for (size_t outputChannels : {32}) {
+                  size_t stride = 1;
+                  size_t padding = 0;
+                  size_t outputHeight =
+                      (inputHeight - filterHeight + 2 * padding + stride) /
+                      stride;
+                  size_t outputWidth =
+                      (inputWidth - filterWidth + 2 * padding + stride) /
+                      stride;
+                  VLOG(3) << " batchSize=" << batchSize
+                          << " inputChannels=" << inputChannels
+                          << " inputHeight=" << inputHeight
+                          << " inputWidth=" << inputWidth
+                          << " outputChannels=" << outputChannels
+                          << " filterHeight=" << filterHeight
+                          << " filterWidth=" << filterWidth
+                          << " outputHeight=" << outputHeight
+                          << " outputWidth=" << outputWidth
+                          << " stride=" << stride << " padding=" << padding;
+
+                  std::vector<size_t> paddings = {padding, padding};
+                  std::vector<size_t> strides = {stride, stride};
+                  Compare2Function<DType1, DType2> test(
+                      conv1,
+                      conv2,
+                      FuncConfig()
+                          .set("paddings", paddings)
+                          .set("strides", strides)
+                          .set("groups", (size_t)1)
+                          .set("algo", algo));
+
+                  TensorShape input{
+                      batchSize, inputChannels, inputHeight, inputWidth};
+                  TensorShape filter{
+                      outputChannels, inputChannels, filterHeight, filterWidth};
+                  TensorShape output{
+                      batchSize, outputChannels, outputHeight, outputWidth};
+
+                  if (type == kForwardTest) {
+                    test.addInputs(BufferArg(VALUE_TYPE_FLOAT, input));
+                    test.addInputs(BufferArg(VALUE_TYPE_FLOAT, filter));
+                    test.addOutputs(BufferArg(VALUE_TYPE_FLOAT, output));
+                    test.run();
+                  } else if (type == kBackwardInputTest) {
+                    test.addInputs(BufferArg(VALUE_TYPE_FLOAT, output));
+                    test.addInputs(BufferArg(VALUE_TYPE_FLOAT, filter));
+                    test.addOutputs(BufferArg(VALUE_TYPE_FLOAT, input), ADD_TO);
+                    test.run();
+                  } else if (type == kBackwardFilterTest) {
+                    test.addInputs(BufferArg(VALUE_TYPE_FLOAT, output));
+                    test.addInputs(BufferArg(VALUE_TYPE_FLOAT, input));
+                    test.addOutputs(BufferArg(VALUE_TYPE_FLOAT, filter));
+                    test.run();
+                  }
+                }
+              }
+            }
+          }
+        }
+      }
+    }
+  }
+};
+
+TEST(Forward, GEMM) {
+  ConvolutionTest<DEVICE_TYPE_CPU, DEVICE_TYPE_CPU> test(
+      "NaiveConv-CPU", "GemmConv-CPU", kForwardTest);
+  ConvolutionTest2<DEVICE_TYPE_CPU, DEVICE_TYPE_CPU> test2(
+      "NaiveConv-CPU", "GemmConv-CPU", kForwardTest);
+}
+
+#ifndef PADDLE_ONLY_CPU
+TEST(Forward, GEMM2) {
+  ConvolutionTest<DEVICE_TYPE_CPU, DEVICE_TYPE_GPU> test(
+      "GemmConv-CPU", "GemmConv-GPU", kForwardTest);
+  ConvolutionTest2<DEVICE_TYPE_CPU, DEVICE_TYPE_GPU> test2(
+      "GemmConv-CPU", "GemmConv-GPU", kForwardTest);
+}
+
+TEST(BackwardInput, GEMM) {
+  ConvolutionTest<DEVICE_TYPE_CPU, DEVICE_TYPE_GPU> test(
+      "GemmConvGradInput-CPU", "GemmConvGradInput-GPU", kBackwardInputTest);
+  ConvolutionTest2<DEVICE_TYPE_CPU, DEVICE_TYPE_GPU> test2(
+      "GemmConvGradInput-CPU", "GemmConvGradInput-GPU", kBackwardInputTest);
+}
+
+TEST(BackwardFilter, GEMM) {
+  ConvolutionTest<DEVICE_TYPE_CPU, DEVICE_TYPE_GPU> test(
+      "GemmConvGradFilter-CPU", "GemmConvGradFilter-GPU", kBackwardFilterTest);
+  ConvolutionTest2<DEVICE_TYPE_CPU, DEVICE_TYPE_GPU> test2(
+      "GemmConvGradFilter-CPU", "GemmConvGradFilter-GPU", kBackwardFilterTest);
+}
+#endif
+
+}  // namespace paddle
diff --git a/paddle/function/CosSimOpTest.cpp b/paddle/function/CosSimOpTest.cpp
index 48c815f027161..f6c0041101f50 100644
--- a/paddle/function/CosSimOpTest.cpp
+++ b/paddle/function/CosSimOpTest.cpp
@@ -22,7 +22,7 @@ void testCosSimForward(size_t height_x,
                        size_t height_y,
                        size_t width,
                        real scale) {
-  FunctionCompare test("CosSimForward", FuncConfig().set("scale", scale));
+  CpuGpuFuncCompare test("CosSimForward", FuncConfig().set("scale", scale));
   // prepare input arguments
   test.addInputs(BufferArg(VALUE_TYPE_FLOAT, TensorShape{height_x, width}));
   test.addInputs(BufferArg(VALUE_TYPE_FLOAT, TensorShape{height_y, width}));
@@ -36,7 +36,7 @@ void testCosSimBackward(size_t height_x,
                         size_t height_y,
                         size_t width,
                         real scale) {
-  FunctionCompare test("CosSimBackward", FuncConfig().set("scale", scale));
+  CpuGpuFuncCompare test("CosSimBackward", FuncConfig().set("scale", scale));
   // prepare input arguments
   test.addInputs(BufferArg(VALUE_TYPE_FLOAT, TensorShape{height_x, 1}));
   test.addInputs(BufferArg(VALUE_TYPE_FLOAT, TensorShape{height_x, 1}));
diff --git a/paddle/function/CrossMapNormalOpTest.cpp b/paddle/function/CrossMapNormalOpTest.cpp
index 51f5da81bfc9a..ed17b17da616d 100644
--- a/paddle/function/CrossMapNormalOpTest.cpp
+++ b/paddle/function/CrossMapNormalOpTest.cpp
@@ -28,11 +28,11 @@ TEST(CrossMapNormal, real) {
                     << " size=" << size;
 
             // init Test object
-            FunctionCompare test("CrossMapNormal",
-                                 FuncConfig()
-                                     .set("size", size)
-                                     .set("scale", (real)1.5)
-                                     .set("pow", (real)0.5));
+            CpuGpuFuncCompare test("CrossMapNormal",
+                                   FuncConfig()
+                                       .set("size", size)
+                                       .set("scale", (real)1.5)
+                                       .set("pow", (real)0.5));
             // prepare input arguments
             TensorShape shape{numSamples, channels, imgSizeH, imgSizeW};
             test.addInputs(BufferArg(VALUE_TYPE_FLOAT, shape));
@@ -57,11 +57,11 @@ TEST(CrossMapNormalGrad, real) {
                     << " imgSizeH=" << imgSizeH << " imgSizeW=" << imgSizeW
                     << " size=" << size;
 
-            FunctionCompare test("CrossMapNormalGrad",
-                                 FuncConfig()
-                                     .set("size", size)
-                                     .set("scale", (real)1.5)
-                                     .set("pow", (real)0.5));
+            CpuGpuFuncCompare test("CrossMapNormalGrad",
+                                   FuncConfig()
+                                       .set("size", size)
+                                       .set("scale", (real)1.5)
+                                       .set("pow", (real)0.5));
             TensorShape shape{numSamples, channels, imgSizeH, imgSizeW};
             test.addInputs(BufferArg(VALUE_TYPE_FLOAT, shape));
             test.addInputs(BufferArg(VALUE_TYPE_FLOAT, shape));
diff --git a/paddle/function/FunctionTest.h b/paddle/function/FunctionTest.h
index 0cfafdb27f55a..ba446bf92da26 100644
--- a/paddle/function/FunctionTest.h
+++ b/paddle/function/FunctionTest.h
@@ -22,14 +22,62 @@ namespace paddle {
 
 typedef std::shared_ptr<BufferArg> BufferArgPtr;
 
+namespace test {
+template <DeviceType DType>
+struct Allocator;
+
+template <>
+struct Allocator<DEVICE_TYPE_CPU> {
+  using type = CpuMemoryHandle;
+};
+
+template <>
+struct Allocator<DEVICE_TYPE_GPU> {
+  using type = GpuMemoryHandle;
+};
+
+// Copy argument1 to argument2
+template <DeviceType DType1, DeviceType DType2>
+class CopyArgument {
+public:
+  void operator()(const BufferArg& arg1, BufferArg& arg2) {
+    CHECK_EQ(arg1.valueType(), arg2.valueType());
+    CHECK_LE(arg1.shape().getElements(), arg2.shape().getElements());
+
+    if (arg1.valueType() == VALUE_TYPE_INT32) {
+      IVectorPtr vector1 =
+          IVector::create((int*)arg1.data(),
+                          arg1.shape().getElements(),
+                          DType1 == DEVICE_TYPE_CPU ? false : true);
+      IVectorPtr vector2 =
+          IVector::create((int*)arg2.data(),
+                          arg2.shape().getElements(),
+                          DType2 == DEVICE_TYPE_CPU ? false : true);
+      vector2->copyFrom(*vector1);
+    } else {
+      VectorPtr vector1 =
+          Vector::create((real*)arg1.data(),
+                         arg1.shape().getElements(),
+                         DType1 == DEVICE_TYPE_CPU ? false : true);
+      VectorPtr vector2 =
+          Vector::create((real*)arg2.data(),
+                         arg2.shape().getElements(),
+                         DType2 == DEVICE_TYPE_CPU ? false : true);
+      vector2->copyFrom(*vector1);
+    }
+  }
+};
+}  // namespace test
+
 /**
- * \brief A class for comparing CPU and GPU implementations of Function.
- *
+ * \brief A class for comparing two Functions of different implementations.
+ *        For example, can be used to compare the CPU and GPU implementation
+ *        of the function is consistent.
  *
  * Use case:
  *  // Initializes a test object, the corresponding cpu and gpu Function
  *  // are constructed according to FunctionName and FuncConfig.
- *  FunctionCompare test(FunctionName, FuncConfig);
+ *  CpuGpuFuncCompare test(FunctionName, FuncConfig);
  *  // Prepare inputs and outputs arguments.
  *  // Here the input and output can not contain real data,
  *  // only contains the argument type and shape.
@@ -45,28 +93,38 @@ typedef std::shared_ptr<BufferArg> BufferArgPtr;
  *  // Compares CPU and GPU calculation results for consistency.
  *  test.run();
  */
-class FunctionCompare {
+template <DeviceType DType1, DeviceType DType2>
+class Compare2Function {
 public:
-  FunctionCompare(const std::string& name, const FuncConfig& config)
-      : cpuFunc_(FunctionBase::funcRegistrar_.createByType(name + "-CPU")),
-        gpuFunc_(FunctionBase::funcRegistrar_.createByType(name + "-GPU")) {
-    cpuFunc_->init(config);
-    gpuFunc_->init(config);
+  typedef typename test::Allocator<DType1>::type Allocator1;
+  typedef typename test::Allocator<DType2>::type Allocator2;
+  typedef typename Tensor<real, DType1>::Vector Vector1;
+  typedef typename Tensor<real, DType2>::Vector Vector2;
+  typedef typename Tensor<real, DType1>::SparseMatrix SparseMatrix1;
+  typedef typename Tensor<real, DType2>::SparseMatrix SparseMatrix2;
+
+  Compare2Function(const std::string& name1,
+                   const std::string& name2,
+                   const FuncConfig& config)
+      : function1_(FunctionBase::funcRegistrar_.createByType(name1)),
+        function2_(FunctionBase::funcRegistrar_.createByType(name2)) {
+    function1_->init(config);
+    function2_->init(config);
   }
 
-  ~FunctionCompare() {}
+  ~Compare2Function() {}
 
   // input need only contains shape, do not contains data.
   void addInputs(const BufferArg& input) {
     size_t size =
         input.shape().getElements() * sizeOfValuType(input.valueType());
-    cpuMemory_.emplace_back(std::make_shared<CpuMemoryHandle>(size));
-    gpuMemory_.emplace_back(std::make_shared<GpuMemoryHandle>(size));
+    func1Memory_.emplace_back(std::make_shared<Allocator1>(size));
+    func2Memory_.emplace_back(std::make_shared<Allocator2>(size));
 
-    cpuInputs_.emplace_back(std::make_shared<BufferArg>(
-        cpuMemory_.back()->getBuf(), input.valueType(), input.shape()));
-    gpuInputs_.emplace_back(std::make_shared<BufferArg>(
-        gpuMemory_.back()->getBuf(), input.valueType(), input.shape()));
+    func1Inputs_.emplace_back(std::make_shared<BufferArg>(
+        func1Memory_.back()->getBuf(), input.valueType(), input.shape()));
+    func2Inputs_.emplace_back(std::make_shared<BufferArg>(
+        func2Memory_.back()->getBuf(), input.valueType(), input.shape()));
   }
 
   // assume one copy of sequence is shared by different SequenceArgs
@@ -75,62 +133,57 @@ class FunctionCompare {
     size_t batchSize = input.shape()[0];
     size_t numSeqs = batchSize / 10 + 1;
     size_t sizeId = (numSeqs + 1) * sizeOfValuType(VALUE_TYPE_INT32);
-    cpuMemory_.emplace_back(std::make_shared<CpuMemoryHandle>(sizeId));
-    gpuMemory_.emplace_back(std::make_shared<GpuMemoryHandle>(sizeId));
-    cpuSeq_ = std::make_shared<SequenceIdArg>(cpuMemory_.back()->getBuf(),
-                                              TensorShape{numSeqs + 1});
-    gpuSeq_ = std::make_shared<SequenceIdArg>(gpuMemory_.back()->getBuf(),
-                                              TensorShape{numSeqs + 1});
+    func1Memory_.emplace_back(std::make_shared<Allocator1>(sizeId));
+    func2Memory_.emplace_back(std::make_shared<Allocator2>(sizeId));
+    seq1_ = std::make_shared<SequenceIdArg>(func1Memory_.back()->getBuf(),
+                                            TensorShape{numSeqs + 1});
+    seq2_ = std::make_shared<SequenceIdArg>(func2Memory_.back()->getBuf(),
+                                            TensorShape{numSeqs + 1});
     /// init sequence Id
-    initArg(*cpuSeq_, batchSize);
+    initArg(*seq1_, batchSize);
 
-    // todo(tianbing), delete it
-    CHECK_EQ(cpuSeq_->shape().getElements(), cpuSeq_->numSeqs() + 1);
-
-    CpuIVector cpuSeq(cpuSeq_->shape().getElements(), (int*)cpuSeq_->data());
-    GpuIVector gpuSeq(gpuSeq_->shape().getElements(), (int*)gpuSeq_->data());
-    gpuSeq.copyFrom(cpuSeq);
+    copyArg_(*seq1_, *seq2_);
   }
 
   void addInputs(const SequenceArg& input) {
     CHECK_EQ(input.shape().ndims(), 2UL);
     size_t batchSize = input.shape()[0];
-    if (!cpuSeq_ || !gpuSeq_) {  // sequence not exist
+    if (!seq1_ || !seq2_) {  // sequence not exist
       addSequence(SequenceIdArg(TensorShape{batchSize}));
     }
 
     size_t size =
         input.shape().getElements() * sizeOfValuType(input.valueType());
-    cpuMemory_.emplace_back(std::make_shared<CpuMemoryHandle>(size));
-    gpuMemory_.emplace_back(std::make_shared<GpuMemoryHandle>(size));
+    func1Memory_.emplace_back(std::make_shared<Allocator1>(size));
+    func2Memory_.emplace_back(std::make_shared<Allocator2>(size));
 
     /// SequenceArg
-    cpuInputs_.emplace_back(
-        std::make_shared<SequenceArg>(cpuMemory_.back()->getBuf(),
+    func1Inputs_.emplace_back(
+        std::make_shared<SequenceArg>(func1Memory_.back()->getBuf(),
                                       input.valueType(),
                                       input.shape(),
-                                      *cpuSeq_));
-    gpuInputs_.emplace_back(
-        std::make_shared<SequenceArg>(gpuMemory_.back()->getBuf(),
+                                      *seq1_));
+    func2Inputs_.emplace_back(
+        std::make_shared<SequenceArg>(func2Memory_.back()->getBuf(),
                                       input.valueType(),
                                       input.shape(),
-                                      *gpuSeq_));
+                                      *seq2_));
   }
 
   // output need only contains shape, do not contains data.
   void addOutputs(const BufferArg& output, ArgType argType = ASSIGN_TO) {
     size_t size =
         output.shape().getElements() * sizeOfValuType(output.valueType());
-    cpuMemory_.emplace_back(std::make_shared<CpuMemoryHandle>(size));
-    gpuMemory_.emplace_back(std::make_shared<GpuMemoryHandle>(size));
+    func1Memory_.emplace_back(std::make_shared<Allocator1>(size));
+    func2Memory_.emplace_back(std::make_shared<Allocator2>(size));
 
-    cpuOutputs_.emplace_back(
-        std::make_shared<BufferArg>(cpuMemory_.back()->getBuf(),
+    func1Outputs_.emplace_back(
+        std::make_shared<BufferArg>(func1Memory_.back()->getBuf(),
                                     output.valueType(),
                                     output.shape(),
                                     argType));
-    gpuOutputs_.emplace_back(
-        std::make_shared<BufferArg>(gpuMemory_.back()->getBuf(),
+    func2Outputs_.emplace_back(
+        std::make_shared<BufferArg>(func2Memory_.back()->getBuf(),
                                     output.valueType(),
                                     output.shape(),
                                     argType));
@@ -138,14 +191,14 @@ class FunctionCompare {
 
   /// add and init output sparse matrix
   void addOutputs(const SparseMatrixArg& output, ArgType argType = ASSIGN_TO) {
-    cpuSparse_ = std::make_shared<CpuSparseMatrix>(
+    sparse1_ = std::make_shared<SparseMatrix1>(
         output.shape()[0],
         output.shape()[1],
         output.nnz(),
         static_cast<SparseValueType>(output.dataType()),
         static_cast<SparseFormat>(output.dataFormat()));
 
-    gpuSparse_ = std::make_shared<GpuSparseMatrix>(
+    sparse2_ = std::make_shared<SparseMatrix2>(
         output.shape()[0],
         output.shape()[1],
         output.nnz(),
@@ -154,52 +207,52 @@ class FunctionCompare {
 
     /// init sparse matrix
     hl_stream_t stream(HPPL_STREAM_1);
-    cpuSparse_->randomizeUniform();
-    gpuSparse_->copyFrom(*cpuSparse_, stream);
+    sparse1_->randomizeUniform();
+    sparse2_->copyFrom(*sparse1_, stream);
     hl_stream_synchronize(stream);
 
-    cpuOutputs_.emplace_back(
-        std::make_shared<SparseMatrixArg>(*cpuSparse_, argType));
-    gpuOutputs_.emplace_back(
-        std::make_shared<SparseMatrixArg>(*gpuSparse_, argType));
+    func1Outputs_.emplace_back(
+        std::make_shared<SparseMatrixArg>(*sparse1_, argType));
+    func2Outputs_.emplace_back(
+        std::make_shared<SparseMatrixArg>(*sparse2_, argType));
   }
 
   void addOutputs(const SequenceArg& output, ArgType argType = ASSIGN_TO) {
     CHECK_EQ(output.shape().ndims(), 2UL);
     size_t batchSize = output.shape()[0];
 
-    if (!cpuSeq_ || !gpuSeq_) {  // sequence not exist
+    if (!seq1_ || !seq2_) {  // sequence not exist
       addSequence(SequenceIdArg(TensorShape{batchSize}));
     }
     size_t size =
         output.shape().getElements() * sizeOfValuType(output.valueType());
-    cpuMemory_.emplace_back(std::make_shared<CpuMemoryHandle>(size));
-    gpuMemory_.emplace_back(std::make_shared<GpuMemoryHandle>(size));
+    func1Memory_.emplace_back(std::make_shared<Allocator1>(size));
+    func2Memory_.emplace_back(std::make_shared<Allocator2>(size));
 
     /// SequenceArg
-    cpuOutputs_.emplace_back(
-        std::make_shared<SequenceArg>(cpuMemory_.back()->getBuf(),
+    func1Outputs_.emplace_back(
+        std::make_shared<SequenceArg>(func1Memory_.back()->getBuf(),
                                       output.valueType(),
                                       output.shape(),
-                                      *cpuSeq_,
+                                      *seq1_,
                                       argType));
-    gpuOutputs_.emplace_back(
-        std::make_shared<SequenceArg>(gpuMemory_.back()->getBuf(),
+    func2Outputs_.emplace_back(
+        std::make_shared<SequenceArg>(func2Memory_.back()->getBuf(),
                                       output.valueType(),
                                       output.shape(),
-                                      *gpuSeq_,
+                                      *seq2_,
                                       argType));
   }
 
   void addInputs(const SparseMatrixArg& input) {
-    cpuSparse_ = std::make_shared<CpuSparseMatrix>(
+    sparse1_ = std::make_shared<SparseMatrix1>(
         input.shape()[0],
         input.shape()[1],
         input.nnz(),
         static_cast<SparseValueType>(input.dataType()),
         static_cast<SparseFormat>(input.dataFormat()));
 
-    gpuSparse_ = std::make_shared<GpuSparseMatrix>(
+    sparse2_ = std::make_shared<SparseMatrix2>(
         input.shape()[0],
         input.shape()[1],
         input.nnz(),
@@ -208,12 +261,12 @@ class FunctionCompare {
 
     /// init sparse matrix
     hl_stream_t stream(HPPL_STREAM_1);
-    cpuSparse_->randomizeUniform();
-    gpuSparse_->copyFrom(*cpuSparse_, stream);
+    sparse1_->randomizeUniform();
+    sparse2_->copyFrom(*sparse1_, stream);
     hl_stream_synchronize(stream);
 
-    cpuInputs_.emplace_back(std::make_shared<SparseMatrixArg>(*cpuSparse_));
-    gpuInputs_.emplace_back(std::make_shared<SparseMatrixArg>(*gpuSparse_));
+    func1Inputs_.emplace_back(std::make_shared<SparseMatrixArg>(*sparse1_));
+    func2Inputs_.emplace_back(std::make_shared<SparseMatrixArg>(*sparse2_));
   }
 
   void run() {
@@ -236,27 +289,27 @@ class FunctionCompare {
       function->calc(inArgs, outArgs);
     };
 
-    callFunction(cpuFunc_.get(), cpuInputs_, cpuOutputs_);
-    callFunction(gpuFunc_.get(), gpuInputs_, gpuOutputs_);
+    callFunction(function1_.get(), func1Inputs_, func1Outputs_);
+    callFunction(function2_.get(), func2Inputs_, func2Outputs_);
 
     // check outputs
     compareOutputs();
   }
 
-  std::shared_ptr<FunctionBase> getCpuFunction() const { return cpuFunc_; }
+  std::shared_ptr<FunctionBase> getFunction1() const { return function1_; }
 
-  std::shared_ptr<FunctionBase> getGpuFunction() const { return gpuFunc_; }
+  std::shared_ptr<FunctionBase> getFunction2() const { return function2_; }
 
 protected:
   // only init cpu argument, gpu argument copy from cpu argument.
   void initArg(BufferArg& arg) {
-    CpuVector vector(arg.shape().getElements(), (real*)arg.data());
+    Vector1 vector(arg.shape().getElements(), (real*)arg.data());
     vector.uniform(0.001, 1);
   }
 
   void initArg(SequenceArg& arg) {
     /// init only matrix
-    CpuVector vector(arg.shape().getElements(), (real*)arg.data());
+    Vector1 vector(arg.shape().getElements(), (real*)arg.data());
     vector.uniform(0.001, 1);
   }
 
@@ -276,73 +329,72 @@ class FunctionCompare {
   }
 
   void initInputs() {
-    for (size_t i = 0; i < cpuInputs_.size(); i++) {
-      if (cpuInputs_[i]->isSparseArg()) {
+    for (size_t i = 0; i < func1Inputs_.size(); i++) {
+      if (func1Inputs_[i]->isSparseArg()) {
         continue;  /// sparse matrix already init
       }
 
-      if (cpuInputs_[i]->isSequenceArg()) {
-        initArg(dynamic_cast<SequenceArg&>(*cpuInputs_[i]));
+      if (func1Inputs_[i]->isSequenceArg()) {
+        initArg(dynamic_cast<SequenceArg&>(*func1Inputs_[i]));
       } else {
-        initArg(*cpuInputs_[i]);
+        initArg(*func1Inputs_[i]);
       }
-      // TODO: Need a BufferCopy used to copy from one BufferArg to another.
-      CpuVector cpuVector(cpuInputs_[i]->shape().getElements(),
-                          (real*)cpuInputs_[i]->data());
-      GpuVector gpuVector(gpuInputs_[i]->shape().getElements(),
-                          (real*)gpuInputs_[i]->data());
 
-      gpuVector.copyFrom(cpuVector);
+      copyArg_(*func1Inputs_[i], *func2Inputs_[i]);
     }
   }
 
   void initOutputs() {
-    for (size_t i = 0; i < cpuOutputs_.size(); i++) {
-      if (cpuOutputs_[i]->isSparseArg()) {
+    for (size_t i = 0; i < func1Outputs_.size(); i++) {
+      if (func1Outputs_[i]->isSparseArg()) {
         continue;  /// sparse matrix already init
       }
 
-      if (cpuOutputs_[i]->isSequenceArg()) {
-        initArg(dynamic_cast<SequenceArg&>(*cpuOutputs_[i]));
+      if (func1Outputs_[i]->isSequenceArg()) {
+        initArg(dynamic_cast<SequenceArg&>(*func1Outputs_[i]));
       } else {
-        initArg(*cpuOutputs_[i]);
+        initArg(*func1Outputs_[i]);
       }
 
-      // TODO: Need a BufferCopy used to copy from one BufferArg to another.
-      CpuVector cpuVector(cpuOutputs_[i]->shape().getElements(),
-                          (real*)cpuOutputs_[i]->data());
-      GpuVector gpuVector(gpuOutputs_[i]->shape().getElements(),
-                          (real*)gpuOutputs_[i]->data());
-
-      gpuVector.copyFrom(cpuVector);
+      copyArg_(*func1Outputs_[i], *func2Outputs_[i]);
     }
   }
 
   void compareOutputs() {
-    for (size_t i = 0; i < cpuOutputs_.size(); i++) {
+    for (size_t i = 0; i < func1Outputs_.size(); i++) {
       // TODO, Need a BufferCheck used to compare the two buffers.
-      const auto cpu = cpuOutputs_[i];
-      const auto gpu = gpuOutputs_[i];
+      const auto cpu = func1Outputs_[i];
+      const auto gpu = func2Outputs_[i];
       CHECK_EQ(cpu->numElements(), gpu->numElements());
-      CpuVector cpuVector(cpu->numElements(), (real*)cpu->data());
-      GpuVector gpuVector(gpu->numElements(), (real*)gpu->data());
+      Vector1 cpuVector(cpu->numElements(), (real*)cpu->data());
+      Vector2 gpuVector(gpu->numElements(), (real*)gpu->data());
       autotest::TensorCheckErr(cpuVector, gpuVector);
     }
   }
 
 protected:
-  std::shared_ptr<FunctionBase> cpuFunc_;
-  std::shared_ptr<FunctionBase> gpuFunc_;
-  std::vector<CpuMemHandlePtr> cpuMemory_;
-  std::vector<GpuMemHandlePtr> gpuMemory_;
-  std::vector<BufferArgPtr> cpuInputs_;
-  std::vector<BufferArgPtr> cpuOutputs_;
-  std::vector<BufferArgPtr> gpuInputs_;
-  std::vector<BufferArgPtr> gpuOutputs_;
-  std::shared_ptr<CpuSparseMatrix> cpuSparse_;
-  std::shared_ptr<GpuSparseMatrix> gpuSparse_;
-  std::shared_ptr<SequenceIdArg> cpuSeq_;
-  std::shared_ptr<SequenceIdArg> gpuSeq_;
+  std::shared_ptr<FunctionBase> function1_;
+  std::shared_ptr<FunctionBase> function2_;
+  std::vector<std::shared_ptr<Allocator1>> func1Memory_;
+  std::vector<std::shared_ptr<Allocator2>> func2Memory_;
+  std::vector<BufferArgPtr> func1Inputs_;
+  std::vector<BufferArgPtr> func1Outputs_;
+  std::vector<BufferArgPtr> func2Inputs_;
+  std::vector<BufferArgPtr> func2Outputs_;
+  std::shared_ptr<SparseMatrix1> sparse1_;
+  std::shared_ptr<SparseMatrix2> sparse2_;
+  std::shared_ptr<SequenceIdArg> seq1_;
+  std::shared_ptr<SequenceIdArg> seq2_;
+  test::CopyArgument<DType1, DType2> copyArg_;
+};
+
+class CpuGpuFuncCompare
+    : public Compare2Function<DEVICE_TYPE_CPU, DEVICE_TYPE_GPU> {
+public:
+  CpuGpuFuncCompare(const std::string& name, const FuncConfig& config)
+      : Compare2Function(name + "-CPU", name + "-GPU", config) {}
+
+  ~CpuGpuFuncCompare() {}
 };
 
 }  // namespace paddle
diff --git a/paddle/function/GemmConvOp.cpp b/paddle/function/GemmConvOp.cpp
new file mode 100644
index 0000000000000..c7a57801ed609
--- /dev/null
+++ b/paddle/function/GemmConvOp.cpp
@@ -0,0 +1,386 @@
+/* Copyright (c) 2016 PaddlePaddle Authors. All Rights Reserve.
+
+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. */
+
+#include "GemmConvOp.h"
+#include "GemmFunctor.h"
+#include "paddle/math/MemoryHandle.h"
+
+namespace paddle {
+
+/*
+ * imData = [input_channels, input_height, input_width]
+ * colData = [input_channels, filter_height, filter_width,
+ *            output_height, output_width]
+ */
+template <class T>
+class Im2ColFunctor<DEVICE_TYPE_CPU, T> {
+public:
+  void operator()(const T* imData,
+                  int inputChannels,
+                  int inputHeight,
+                  int inputWidth,
+                  int filterHeight,
+                  int filterWidth,
+                  int strideHeight,
+                  int strideWidth,
+                  int paddingHeight,
+                  int paddingWidth,
+                  int outputHeight,
+                  int outputWidth,
+                  T* colData) {
+    int channelsCol = inputChannels * filterHeight * filterWidth;
+
+    for (int c = 0; c < channelsCol; ++c) {
+      int wOffset = c % filterWidth;
+      int hOffset = (c / filterWidth) % filterHeight;
+      int c_im = c / filterWidth / filterHeight;
+      for (int h = 0; h < outputHeight; ++h) {
+        for (int w = 0; w < outputWidth; ++w) {
+          int imRowIdx = h * strideHeight + hOffset;
+          int imColIdx = w * strideWidth + wOffset;
+          if ((imRowIdx - paddingHeight) < 0 ||
+              (imRowIdx - paddingHeight) >= inputHeight ||
+              (imColIdx - paddingWidth) < 0 ||
+              (imColIdx - paddingWidth) >= inputWidth) {
+            colData[(c * outputHeight + h) * outputWidth + w] = T(0);
+          } else {
+            imRowIdx += c_im * inputHeight - paddingHeight;
+            imColIdx -= paddingWidth;
+            colData[(c * outputHeight + h) * outputWidth + w] =
+                imData[imRowIdx * inputWidth + imColIdx];
+          }
+        }
+      }
+    }
+  }
+};
+
+template <class T>
+class Col2ImFunctor<DEVICE_TYPE_CPU, T> {
+public:
+  void operator()(const T* colData,
+                  int inputChannels,
+                  int inputHeight,
+                  int inputWidth,
+                  int filterHeight,
+                  int filterWidth,
+                  int strideHeight,
+                  int strideWidth,
+                  int paddingHeight,
+                  int paddingWidth,
+                  int outputHeight,
+                  int outputWidth,
+                  T* imData) {
+    int channelsCol = inputChannels * filterHeight * filterWidth;
+
+    for (int c = 0; c < channelsCol; ++c) {
+      int wOffset = c % filterWidth;
+      int hOffset = (c / filterWidth) % filterHeight;
+      int c_im = c / filterWidth / filterHeight;
+      for (int h = 0; h < outputHeight; ++h) {
+        for (int w = 0; w < outputWidth; ++w) {
+          int imRowIdx = h * strideHeight + hOffset;
+          int imColIdx = w * strideWidth + wOffset;
+          if ((imRowIdx - paddingHeight) >= 0 &&
+              (imRowIdx - paddingHeight) < inputHeight &&
+              (imColIdx - paddingWidth) >= 0 &&
+              (imColIdx - paddingWidth) < inputWidth) {
+            imRowIdx += c_im * inputHeight - paddingHeight;
+            imColIdx -= paddingWidth;
+            imData[imRowIdx * inputWidth + imColIdx] +=
+                colData[(c * outputHeight + h) * outputWidth + w];
+          }
+        }
+      }
+    }
+  }
+};
+
+/*
+ * \brief Forward calculation of convolution.
+ */
+template <DeviceType Device>
+class GemmConvFunction : public ConvFunctionBase {
+public:
+  void init(const FuncConfig& config) override {
+    ConvFunctionBase::init(config);
+  }
+
+  void calc(const BufferArgs& inputs, const BufferArgs& outputs) override {
+    CHECK_EQ(numInputs_, inputs.size());
+    CHECK_EQ(numOutputs_, outputs.size());
+    // TODO(hedaoyuan): Need to define some index macros,
+    // to avoid useing 0 and 1.
+    const TensorShape& input = inputs[0].shape();
+    const TensorShape& filter = inputs[1].shape();
+    const TensorShape& output = outputs[0].shape();
+    check(input, filter, output);
+
+    real beta;
+    if (outputs[0].getArgType() == ADD_TO) {
+      beta = 1.0;
+    } else {
+      beta = 0.0;
+    }
+
+    size_t batchSize = input[0];
+    size_t inputChannels = input[1];
+    size_t inputHeight = input[2];
+    size_t inputWidth = input[3];
+    size_t filterHeight = getFilterHeight(filter);
+    size_t filterWidth = getFilterWidth(filter);
+    size_t outputChannels = output[1];
+    size_t outputHeight = output[2];
+    size_t outputWidth = output[3];
+
+    real* inputData = inputs[0].data<real>();
+    real* filterData = inputs[1].data<real>();
+    real* outputData = outputs[0].data<real>();
+
+    size_t size = inputChannels / groups_ * filterHeight * filterWidth *
+                  outputHeight * outputWidth;
+    resizeBuffer<Device>(size);
+    real* colData = reinterpret_cast<real*>(memory_->getBuf());
+
+    Im2ColFunctor<Device, real> im2col;
+    GemmFunctor<Device, real> gemm;
+    size_t inputOffset = (inputChannels / groups_) * inputHeight * inputWidth;
+    size_t outputOffset =
+        (outputChannels / groups_) * outputHeight * outputWidth;
+    size_t filterOffset = filter.getElements() / groups_;
+
+    for (size_t i = 0; i < batchSize; i++) {
+      for (size_t g = 0; g < groups_; g++) {
+        im2col(inputData + g * inputOffset,
+               inputChannels / groups_,
+               inputHeight,
+               inputWidth,
+               filterHeight,
+               filterWidth,
+               strideH(),
+               strideW(),
+               paddingH(),
+               paddingW(),
+               outputHeight,
+               outputWidth,
+               colData);
+
+        int M = outputChannels / groups_;
+        int N = outputHeight * outputWidth;
+        int K = inputChannels / groups_ * filterHeight * filterWidth;
+        gemm(CblasNoTrans,
+             CblasNoTrans,
+             M,
+             N,
+             K,
+             1.0f,
+             filterData + g * filterOffset,
+             K,
+             colData,
+             N,
+             beta,
+             outputData + g * outputOffset,
+             N);
+      }
+      inputData += inputChannels * inputHeight * inputWidth;
+      outputData += outputChannels * outputHeight * outputWidth;
+    }
+  }
+};
+
+/*
+ * \brief Backward input calculation of convolution.
+ */
+template <DeviceType Device>
+class GemmConvGradInputFunction : public ConvFunctionBase {
+public:
+  void init(const FuncConfig& config) override {
+    ConvFunctionBase::init(config);
+  }
+
+  void calc(const BufferArgs& inputs, const BufferArgs& outputs) override {
+    CHECK_EQ(numInputs_, inputs.size());
+    CHECK_EQ(numOutputs_, outputs.size());
+    // Since the implementation of Col2ImFunctor is ADD_TO,
+    // this function only supports ADD_TO mode.
+    CHECK_EQ(outputs[0].getArgType(), ADD_TO);
+    const TensorShape& output = inputs[0].shape();
+    const TensorShape& filter = inputs[1].shape();
+    const TensorShape& input = outputs[0].shape();
+    check(input, filter, output);
+
+    size_t batchSize = input[0];
+    size_t inputChannels = input[1];
+    size_t inputHeight = input[2];
+    size_t inputWidth = input[3];
+    size_t filterHeight = getFilterHeight(filter);
+    size_t filterWidth = getFilterWidth(filter);
+    size_t outputChannels = output[1];
+    size_t outputHeight = output[2];
+    size_t outputWidth = output[3];
+
+    real* outputGrad = inputs[0].data<real>();
+    real* filterData = inputs[1].data<real>();
+    real* inputGrad = outputs[0].data<real>();
+
+    size_t size = inputChannels / groups_ * filterHeight * filterWidth *
+                  outputHeight * outputWidth;
+    resizeBuffer<Device>(size);
+    real* colData = reinterpret_cast<real*>(memory_->getBuf());
+
+    Col2ImFunctor<Device, real> col2im;
+    GemmFunctor<Device, real> gemm;
+    size_t inputOffset = (inputChannels / groups_) * inputHeight * inputWidth;
+    size_t outputOffset =
+        (outputChannels / groups_) * outputHeight * outputWidth;
+    size_t filterOffset = filter.getElements() / groups_;
+
+    for (size_t i = 0; i < batchSize; i++) {
+      for (size_t g = 0; g < groups_; g++) {
+        int K = outputChannels / groups_;
+        int N = outputHeight * outputWidth;
+        int M = inputChannels / groups_ * filterHeight * filterWidth;
+        gemm(CblasTrans,
+             CblasNoTrans,
+             M,
+             N,
+             K,
+             1.0f,
+             filterData + g * filterOffset,
+             M,
+             outputGrad + g * outputOffset,
+             N,
+             0.0f,
+             colData,
+             N);
+
+        col2im(colData,
+               inputChannels / groups_,
+               inputHeight,
+               inputWidth,
+               filterHeight,
+               filterWidth,
+               strideH(),
+               strideW(),
+               paddingH(),
+               paddingW(),
+               outputHeight,
+               outputWidth,
+               inputGrad + g * inputOffset);
+      }
+      inputGrad += inputChannels * inputHeight * inputWidth;
+      outputGrad += outputChannels * outputHeight * outputWidth;
+    }
+  }
+};
+
+/*
+ * \brief Backward filter calculation of convolution.
+ */
+template <DeviceType Device>
+class GemmConvGradFilterFunction : public ConvFunctionBase {
+public:
+  void init(const FuncConfig& config) override {
+    ConvFunctionBase::init(config);
+  }
+
+  void calc(const BufferArgs& inputs, const BufferArgs& outputs) override {
+    CHECK_EQ(numInputs_, inputs.size());
+    CHECK_EQ(numOutputs_, outputs.size());
+    const TensorShape& output = inputs[0].shape();
+    const TensorShape& input = inputs[1].shape();
+    const TensorShape& filter = outputs[0].shape();
+    check(input, filter, output);
+
+    real beta;
+    if (outputs[0].getArgType() == ADD_TO) {
+      beta = 1.0;
+    } else {
+      beta = 0.0;
+    }
+
+    size_t batchSize = input[0];
+    size_t inputChannels = input[1];
+    size_t inputHeight = input[2];
+    size_t inputWidth = input[3];
+    size_t filterHeight = getFilterHeight(filter);
+    size_t filterWidth = getFilterWidth(filter);
+    size_t outputChannels = output[1];
+    size_t outputHeight = output[2];
+    size_t outputWidth = output[3];
+
+    real* outputGrad = inputs[0].data<real>();
+    real* inputData = inputs[1].data<real>();
+    real* filterGrad = outputs[0].data<real>();
+
+    size_t size = inputChannels / groups_ * filterHeight * filterWidth *
+                  outputHeight * outputWidth;
+    resizeBuffer<Device>(size);
+    real* colData = reinterpret_cast<real*>(memory_->getBuf());
+
+    Im2ColFunctor<Device, real> im2col;
+    GemmFunctor<Device, real> gemm;
+    size_t inputOffset = (inputChannels / groups_) * inputHeight * inputWidth;
+    size_t outputOffset =
+        (outputChannels / groups_) * outputHeight * outputWidth;
+    size_t filterOffset = filter.getElements() / groups_;
+    for (size_t i = 0; i < batchSize; i++) {
+      for (size_t g = 0; g < groups_; g++) {
+        im2col(inputData + g * inputOffset,
+               inputChannels / groups_,
+               inputHeight,
+               inputWidth,
+               filterHeight,
+               filterWidth,
+               strideH(),
+               strideW(),
+               paddingH(),
+               paddingW(),
+               outputHeight,
+               outputWidth,
+               colData);
+
+        int M = outputChannels / groups_;
+        int K = outputHeight * outputWidth;
+        int N = inputChannels / groups_ * filterHeight * filterWidth;
+        gemm(CblasNoTrans,
+             CblasTrans,
+             M,
+             N,
+             K,
+             1.0f,
+             outputGrad + g * outputOffset,
+             K,
+             colData,
+             K,
+             i == 0 ? beta : 1.0f,
+             filterGrad + g * filterOffset,
+             N);
+      }
+      inputData += inputChannels * inputHeight * inputWidth;
+      outputGrad += outputChannels * outputHeight * outputWidth;
+    }
+  }
+};
+
+REGISTER_TYPED_FUNC(GemmConv, CPU, GemmConvFunction);
+REGISTER_TYPED_FUNC(GemmConvGradInput, CPU, GemmConvGradInputFunction);
+REGISTER_TYPED_FUNC(GemmConvGradFilter, CPU, GemmConvGradFilterFunction);
+#ifndef PADDLE_ONLY_CPU
+REGISTER_TYPED_FUNC(GemmConv, GPU, GemmConvFunction);
+REGISTER_TYPED_FUNC(GemmConvGradInput, GPU, GemmConvGradInputFunction);
+REGISTER_TYPED_FUNC(GemmConvGradFilter, GPU, GemmConvGradFilterFunction);
+#endif
+
+}  // namespace paddle
diff --git a/paddle/function/GemmConvOp.h b/paddle/function/GemmConvOp.h
new file mode 100644
index 0000000000000..9f11cce597a07
--- /dev/null
+++ b/paddle/function/GemmConvOp.h
@@ -0,0 +1,62 @@
+/* Copyright (c) 2016 PaddlePaddle Authors. All Rights Reserve.
+
+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 "ConvOp.h"
+
+namespace paddle {
+
+/*
+ * imData = [input_channels, input_height, input_width]
+ * colData = [input_channels, filter_height, filter_width,
+ *            output_height, output_width]
+ */
+template <DeviceType Device, class T>
+class Im2ColFunctor {
+public:
+  void operator()(const T* imData,
+                  int inputChannels,
+                  int inputHeight,
+                  int inputWidth,
+                  int filterHeight,
+                  int filterWidth,
+                  int strideHeight,
+                  int strideWidth,
+                  int paddingHeight,
+                  int paddingWidth,
+                  int outputHeight,
+                  int outputWidth,
+                  T* colData);
+};
+
+template <DeviceType Device, class T>
+class Col2ImFunctor {
+public:
+  void operator()(const T* colData,
+                  int inputChannels,
+                  int inputHeight,
+                  int inputWidth,
+                  int filterHeight,
+                  int filterWidth,
+                  int strideHeight,
+                  int strideWidth,
+                  int paddingHeight,
+                  int paddingWidth,
+                  int outputHeight,
+                  int outputWidth,
+                  T* imData);
+};
+
+}  // namespace paddle
diff --git a/paddle/function/GemmConvOpGpu.cu b/paddle/function/GemmConvOpGpu.cu
new file mode 100644
index 0000000000000..2a1795ff0fb56
--- /dev/null
+++ b/paddle/function/GemmConvOpGpu.cu
@@ -0,0 +1,186 @@
+/* Copyright (c) 2016 PaddlePaddle Authors. All Rights Reserve.
+
+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. */
+
+#include "ConvOp.h"
+#include "GemmConvOp.h"
+
+namespace paddle {
+
+template<class T>
+__global__
+void im2col(const T* data_im, int numOuts, int height, int width,
+            int blockH, int blockW,
+            int strideH, int strideW,
+            int paddingH, int paddingW,
+            int height_col, int width_col,
+            T* data_col) {
+  int index =
+    (blockIdx.x * gridDim.y + blockIdx.y) * blockDim.x + threadIdx.x;
+  if (index < numOuts) {
+    int w_out = index % width_col;
+    index /= width_col;
+    int h_out = index % height_col;
+    int channel_in = index / height_col;
+    int channel_out = channel_in * blockH * blockW;
+    int h_in = h_out * strideH;
+    int w_in = w_out * strideW;
+
+    data_col += (channel_out * height_col + h_out) * width_col + w_out;
+    for (int i = 0; i < blockH; ++i) {
+      for (int j = 0; j < blockW; ++j) {
+        int rIdx = int(h_in+i);
+        int cIdx = int(w_in+j);
+        if ((rIdx-(int)paddingH) >= (int)height ||
+            (rIdx-(int)paddingH) < 0 ||
+            (cIdx-(int)paddingW) >= (int)width ||
+            (cIdx-(int)paddingW) < 0) {
+          *data_col = 0;
+        } else {
+          rIdx = rIdx + channel_in*height - paddingH;
+          cIdx = cIdx - paddingW;
+          *data_col = data_im[rIdx* width + cIdx];
+        }
+        data_col += height_col * width_col;
+      }
+    }
+  }
+}
+
+template <class T>
+class Im2ColFunctor<DEVICE_TYPE_GPU, T> {
+public:
+  void operator()(const T* imData,
+                  int inputChannels,
+                  int inputHeight,
+                  int inputWidth,
+                  int filterHeight,
+                  int filterWidth,
+                  int strideHeight,
+                  int strideWidth,
+                  int paddingHeight,
+                  int paddingWidth,
+                  int outputHeight,
+                  int outputWidth,
+                  T* colData) {
+    int numKernels = inputChannels * outputHeight * outputWidth;
+    int blocks = (numKernels + 1024 -1) / 1024;
+    int blockX = 512;
+    int blockY = (blocks + 512 - 1) / 512;
+    dim3 threads(1024, 1);
+    dim3 grid(blockX, blockY);
+    im2col<T><<< grid, threads, 0, STREAM_DEFAULT >>>
+        (imData, numKernels, inputHeight, inputWidth, filterHeight, filterWidth,
+         strideHeight, strideWidth, paddingHeight, paddingWidth,
+         outputHeight, outputWidth, colData);
+    CHECK_SYNC("Im2ColFunctor GPU failed");
+  }
+};
+
+template<class T>
+__global__
+void col2im(size_t n, const T* data_col, size_t height,
+            size_t width, size_t channels,
+            size_t blockH, size_t blockW,
+            size_t strideH, size_t strideW,
+            size_t paddingH, size_t paddingW,
+            size_t height_col, size_t width_col,
+            T* data_im) {
+  size_t index =
+    (blockIdx.x * gridDim.y + blockIdx.y) * blockDim.x + threadIdx.x;
+  if (index < n) {
+    T val = 0;
+    int w = int(index % width);
+    int h = int((index / width) % height);
+    int c = int(index / (width * height));
+    if ((w - (int)paddingW) >= 0 &&
+        (w - (int)paddingW) < (width-2 * paddingW) &&
+        (h - (int)paddingH) >= 0 &&
+        (h - paddingH) < (height - 2 * paddingH)) {
+      // compute the start and end of the output
+      int w_col_start =
+        (w < (int)blockW) ? 0 : (w - int(blockW)) / (int)strideW + 1;
+      int w_col_end =
+        min((int)(w / (int)strideW + 1), (int)(width_col));
+      int h_col_start =
+        (h < (int)blockH) ? 0 : (h - (int)blockH) / (int)strideH + 1;
+      int h_col_end = min(int(h / strideH + 1), int(height_col));
+      for (int h_col = h_col_start; h_col < h_col_end; ++h_col) {
+        for (int w_col = w_col_start; w_col < w_col_end; ++w_col) {
+          // the col location: [c * width * height + h_out, w_out]
+          int c_col = int(c * blockH* blockW) + \
+            (h - h_col * (int)strideH) * (int)blockW +
+            (w - w_col * (int)strideW);
+          val += data_col[(c_col * height_col + h_col) * width_col + w_col];
+        }
+      }
+      h -= paddingH;
+      w -= paddingW;
+      data_im[c*((width-2*paddingW) * (height-2*paddingH)) +
+              h*(width-2*paddingW) + w] += val;
+    }
+  }
+}
+
+template <class T>
+class Col2ImFunctor<DEVICE_TYPE_GPU, T> {
+public:
+  void operator()(const T* colData,
+                  int inputChannels,
+                  int inputHeight,
+                  int inputWidth,
+                  int filterHeight,
+                  int filterWidth,
+                  int strideHeight,
+                  int strideWidth,
+                  int paddingHeight,
+                  int paddingWidth,
+                  int outputHeight,
+                  int outputWidth,
+                  T* imData) {
+    size_t numKernels = inputChannels * (inputHeight + 2*paddingHeight)
+        * (inputWidth + 2*paddingWidth);
+
+    size_t blocks = (numKernels + 1024 -1) / 1024;
+    size_t blockX = 512;
+    size_t blockY = (blocks+512-1)/512;
+    dim3 threads(1024, 1);
+    dim3 grid(blockX, blockY);
+
+    // To avoid involving atomic operations, we will launch one kernel per
+    // bottom dimension, and then in the kernel add up the top dimensions.
+    col2im<T><<< grid, threads, 0, STREAM_DEFAULT >>>
+             (numKernels,
+              colData,
+              inputHeight + 2*paddingHeight,
+              inputWidth + 2*paddingWidth,
+              inputChannels,
+              filterHeight,
+              filterWidth,
+              strideHeight,
+              strideWidth,
+              paddingHeight,
+              paddingWidth,
+              outputHeight,
+              outputWidth,
+              imData);
+    CHECK_SYNC("Col2ImFunctor GPU failed");
+  }
+};
+
+template class Im2ColFunctor<DEVICE_TYPE_GPU, float>;
+template class Im2ColFunctor<DEVICE_TYPE_GPU, double>;
+template class Col2ImFunctor<DEVICE_TYPE_GPU, float>;
+template class Col2ImFunctor<DEVICE_TYPE_GPU, double>;
+
+}  // namespace paddle
diff --git a/paddle/function/GemmFunctor.h b/paddle/function/GemmFunctor.h
new file mode 100644
index 0000000000000..d5db5cf5e7a85
--- /dev/null
+++ b/paddle/function/GemmFunctor.h
@@ -0,0 +1,96 @@
+/* Copyright (c) 2016 PaddlePaddle Authors. All Rights Reserve.
+
+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 "paddle/math/MathFunctions.h"
+
+namespace paddle {
+
+// TODO(hedaoyuan): Since the hl_matrix_mul interface does not conform to the
+// cblas_dgemm interface's parameter format, it is necessary to introduce
+// GemmFunctor as a new interface. Later, when considering the implementation
+// of MatMulFunction, we need to consider the reconstruction of hl_matrix_mul
+// interface.
+template <DeviceType Device, class T>
+class GemmFunctor {
+public:
+  void operator()(const CBLAS_TRANSPOSE transA,
+                  const CBLAS_TRANSPOSE TransB,
+                  const int M,
+                  const int N,
+                  const int K,
+                  const T alpha,
+                  const T* A,
+                  const int lda,
+                  const T* B,
+                  const int ldb,
+                  const T beta,
+                  T* C,
+                  const int ldc);
+};
+
+template <class T>
+class GemmFunctor<DEVICE_TYPE_CPU, T> {
+public:
+  void operator()(const CBLAS_TRANSPOSE transA,
+                  const CBLAS_TRANSPOSE TransB,
+                  const int M,
+                  const int N,
+                  const int K,
+                  const T alpha,
+                  const T* A,
+                  const int lda,
+                  const T* B,
+                  const int ldb,
+                  const T beta,
+                  T* C,
+                  const int ldc) {
+    gemm<T>(transA, TransB, M, N, K, alpha, A, lda, B, ldb, beta, C, ldc);
+  }
+};
+
+template <class T>
+class GemmFunctor<DEVICE_TYPE_GPU, T> {
+public:
+  void operator()(const CBLAS_TRANSPOSE transA,
+                  const CBLAS_TRANSPOSE TransB,
+                  const int M,
+                  const int N,
+                  const int K,
+                  const T alpha,
+                  const T* A,
+                  const int lda,
+                  const T* B,
+                  const int ldb,
+                  const T beta,
+                  T* C,
+                  const int ldc) {
+    hl_matrix_mul((T*)A,
+                  transA == CblasNoTrans ? HPPL_OP_N : HPPL_OP_T,
+                  (T*)B,
+                  TransB == CblasNoTrans ? HPPL_OP_N : HPPL_OP_T,
+                  C,
+                  M,
+                  N,
+                  K,
+                  alpha,
+                  beta,
+                  lda,
+                  ldb,
+                  ldc);
+  }
+};
+
+}  // namespace paddle
diff --git a/paddle/function/MulOpTest.cpp b/paddle/function/MulOpTest.cpp
index 8753057ebf73c..d31eb0c74f25f 100644
--- a/paddle/function/MulOpTest.cpp
+++ b/paddle/function/MulOpTest.cpp
@@ -35,7 +35,7 @@ void testFuncDDDMatrix(
   size_t heightC = dimM;
   size_t widthC = dimN;
   // init Test object
-  FunctionCompare test(
+  CpuGpuFuncCompare test(
       "MulOp", FuncConfig().set("aTrans", transa).set("bTrans", transb));
   // prepare input arguments
   /// matrix A : HA * WA
@@ -81,8 +81,8 @@ void testFuncDSparseDMatrix(
     size_t dimM, size_t dimN, size_t dimK, size_t nnz, SparseFormat FORMAT) {
   real scaleT = 1.0;
   // init Test object
-  FunctionCompare test("MulOp",
-                       FuncConfig().set("aTrans", false).set("bTrans", false));
+  CpuGpuFuncCompare test(
+      "MulOp", FuncConfig().set("aTrans", false).set("bTrans", false));
   // prepare input arguments
   /// sparse matrix A : M * K
   test.addInputs(SparseMatrixArg(
@@ -126,8 +126,8 @@ void testFuncDDSparseMatrix(
     size_t dimM, size_t dimN, size_t dimK, size_t nnz, SparseFormat FORMAT) {
   real scaleT = 1.0;
   // init Test object
-  FunctionCompare test("MulOp",
-                       FuncConfig().set("aTrans", false).set("bTrans", false));
+  CpuGpuFuncCompare test(
+      "MulOp", FuncConfig().set("aTrans", false).set("bTrans", false));
   // prepare input arguments
   /// matrix A : M * K
   test.addInputs(BufferArg(VALUE_TYPE_FLOAT, TensorShape{dimM, dimK}));
@@ -172,8 +172,8 @@ void testFuncSparseDDMatrix(
     size_t dimM, size_t dimN, size_t dimK, size_t nnz, SparseFormat FORMAT) {
   real scaleT = 1.0;
   // init Test object
-  FunctionCompare test("MulOp",
-                       FuncConfig().set("aTrans", false).set("bTrans", false));
+  CpuGpuFuncCompare test(
+      "MulOp", FuncConfig().set("aTrans", false).set("bTrans", false));
   // prepare input arguments
   /// matrix A : M * K
   test.addInputs(BufferArg(VALUE_TYPE_FLOAT, TensorShape{dimM, dimK}));
diff --git a/paddle/function/NaiveConvOp.cpp b/paddle/function/NaiveConvOp.cpp
new file mode 100644
index 0000000000000..1d204f99e0e12
--- /dev/null
+++ b/paddle/function/NaiveConvOp.cpp
@@ -0,0 +1,137 @@
+/* Copyright (c) 2016 PaddlePaddle Authors. All Rights Reserve.
+
+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. */
+
+#include "ConvOp.h"
+
+namespace paddle {
+
+/*
+ * The three arguments are stored in memory in row major order.
+ * inputData  = [batchSize, inputChannels, inputHeight, inputWidth]
+ * filterData = [outputChannels, inputChannels, filterHeight, filterWidth]
+ * outputData = [batchSize, outputChannels, outputHeight, outputWidth]
+ */
+template <class T>
+class NaiveConvFunctor {
+public:
+  void operator()(const T* inputData,
+                  size_t batchSize,
+                  size_t inputChannels,
+                  size_t inputHeight,
+                  size_t inputWidth,
+                  const T* filterData,
+                  size_t filterHeight,
+                  size_t filterWidth,
+                  T* outputData,
+                  size_t outputChannels,
+                  size_t outputHeight,
+                  size_t outputWidth,
+                  size_t paddingH,
+                  size_t paddingW,
+                  size_t strideH,
+                  size_t strideW) {
+    for (size_t batch = 0; batch < batchSize; batch++) {
+      for (size_t outC = 0; outC < outputChannels; outC++) {
+        for (size_t outH = 0; outH < outputHeight; outH++) {
+          for (size_t outW = 0; outW < outputWidth; outW++) {
+            const int inStartH = (outH * strideH) - paddingH;
+            const int inStartW = (outW * strideW) - paddingW;
+            T outValue = (T)0;
+            for (size_t inC = 0; inC < inputChannels; inC++) {
+              for (size_t fH = 0; fH < filterHeight; fH++) {
+                for (size_t fW = 0; fW < filterWidth; fW++) {
+                  T inValue;
+                  const int inH = inStartH + fH;
+                  const int inW = inStartW + fW;
+                  if ((inH >= 0 && inH < inputHeight) &&
+                      (inW >= 0 && inW < inputWidth)) {
+                    size_t offsetInput =
+                        batch * inputChannels * inputHeight * inputWidth +
+                        inC * inputHeight * inputWidth + inH * inputWidth + inW;
+                    inValue = inputData[offsetInput];
+                  } else {
+                    inValue = (T)0;
+                  }
+                  size_t offsetFilter =
+                      outC * inputChannels * filterHeight * filterWidth +
+                      inC * filterHeight * filterWidth + fH * filterWidth + fW;
+                  T filterValue = filterData[offsetFilter];
+                  outValue += (inValue * filterValue);
+                }
+              }
+            }
+
+            size_t offset =
+                batch * outputChannels * outputHeight * outputWidth +
+                outC * outputHeight * outputWidth + outH * outputWidth + outW;
+            outputData[offset] = outValue;
+          }
+        }
+      }
+    }
+  }
+};
+
+template <DeviceType Device>
+class NaiveConvFunction : public ConvFunctionBase {
+public:
+  void init(const FuncConfig& config) override {
+    ConvFunctionBase::init(config);
+  }
+
+  void calc(const BufferArgs& inputs, const BufferArgs& outputs) override {
+    CHECK_EQ(numInputs_, inputs.size());
+    CHECK_EQ(numOutputs_, outputs.size());
+    const TensorShape& input = inputs[0].shape();
+    const TensorShape& filter = inputs[1].shape();
+    const TensorShape& output = outputs[0].shape();
+    check(input, filter, output);
+    CHECK_EQ(outputs[0].getArgType(), ASSIGN_TO);
+
+    size_t batchSize = inputs[0].shape()[0];
+    size_t inputChannels = inputs[0].shape()[1];
+    size_t inputHeight = inputs[0].shape()[2];
+    size_t inputWidth = inputs[0].shape()[3];
+    size_t filterHeight = inputs[1].shape()[2];
+    size_t filterWidth = inputs[1].shape()[3];
+    size_t outputChannels = outputs[0].shape()[1];
+    size_t outputHeight = outputs[0].shape()[2];
+    size_t outputWidth = outputs[0].shape()[3];
+
+    real* inputData = inputs[0].data<real>();
+    real* filterData = inputs[1].data<real>();
+    real* outputData = outputs[0].data<real>();
+    NaiveConvFunctor<real> conv;
+    conv(inputData,
+         batchSize,
+         inputChannels,
+         inputHeight,
+         inputWidth,
+         filterData,
+         filterHeight,
+         filterWidth,
+         outputData,
+         outputChannels,
+         outputHeight,
+         outputWidth,
+         paddingH(),
+         paddingW(),
+         strideH(),
+         strideW());
+  }
+};
+
+REGISTER_TYPED_FUNC(NaiveConv, CPU, NaiveConvFunction);
+
+}  // namespace paddle
diff --git a/paddle/function/PadOpTest.cpp b/paddle/function/PadOpTest.cpp
index f77ac2a8c49c8..e286f4e5b8a42 100644
--- a/paddle/function/PadOpTest.cpp
+++ b/paddle/function/PadOpTest.cpp
@@ -25,7 +25,7 @@ TEST(Pad, real) {
           VLOG(3) << " numSamples=" << numSamples << " channels=" << channels
                   << " imgSizeH=" << imgSizeH << " imgSizeW=" << imgSizeW;
           for (bool test_grad : {false, true}) {
-            FunctionCompare compare(
+            CpuGpuFuncCompare compare(
                 test_grad ? "PadGrad" : "Pad",
                 FuncConfig()
                     .set<std::vector<uint32_t>>("channel", {2, 3})
diff --git a/paddle/function/RowConvOpTest.cpp b/paddle/function/RowConvOpTest.cpp
index 1c95d3ff2cccb..f52d18b0491ec 100644
--- a/paddle/function/RowConvOpTest.cpp
+++ b/paddle/function/RowConvOpTest.cpp
@@ -18,7 +18,7 @@ limitations under the License. */
 namespace paddle {
 
 void testRowConvFw(size_t batchSize, size_t dim, size_t contextLength) {
-  FunctionCompare test("RowConv", FuncConfig());
+  CpuGpuFuncCompare test("RowConv", FuncConfig());
 
   test.addSequence(SequenceIdArg(TensorShape{batchSize}));
   test.addInputs(SequenceArg(VALUE_TYPE_FLOAT, TensorShape{batchSize, dim}));
@@ -31,7 +31,7 @@ void testRowConvFw(size_t batchSize, size_t dim, size_t contextLength) {
 }
 
 void testRowConvBw(size_t batchSize, size_t dim, size_t contextLength) {
-  FunctionCompare test("RowConvGrad", FuncConfig());
+  CpuGpuFuncCompare test("RowConvGrad", FuncConfig());
 
   test.addSequence(SequenceIdArg(TensorShape{batchSize}));
   test.addInputs(SequenceArg(VALUE_TYPE_FLOAT, TensorShape{batchSize, dim}));
diff --git a/paddle/gserver/layers/ConvBaseLayer.cpp b/paddle/gserver/layers/ConvBaseLayer.cpp
index 7b234dc2a6663..e161d89c38a29 100644
--- a/paddle/gserver/layers/ConvBaseLayer.cpp
+++ b/paddle/gserver/layers/ConvBaseLayer.cpp
@@ -118,11 +118,7 @@ size_t ConvBaseLayer::calOutputSize() {
     layerSize = outH[0] * outW[0] * size_t(numFilters_);
   };
 
-  if (isDeconv_) {
-    setLayerSize(outputH_, outputW_, imgSizeH_, imgSizeW_);
-  } else {
-    setLayerSize(imgSizeH_, imgSizeW_, outputH_, outputW_);
-  }
+  setLayerSize(imgSizeH_, imgSizeW_, outputH_, outputW_);
 
   return layerSize;
 }
diff --git a/paddle/gserver/layers/CudnnConvBaseLayer.cpp b/paddle/gserver/layers/CudnnConvBaseLayer.cpp
index 24363bb8b09cc..c056bbe4d1d35 100644
--- a/paddle/gserver/layers/CudnnConvBaseLayer.cpp
+++ b/paddle/gserver/layers/CudnnConvBaseLayer.cpp
@@ -70,14 +70,8 @@ void CudnnConvBaseLayer::forward(PassType passType) {
   if (biases_) {
     REGISTER_TIMER_INFO("CudnnConvBiasTimer", getName().c_str());
     int batchSize = inputLayers_[0]->getOutputValue()->getHeight();
-    int outH, outW;
-    if (isDeconv_) {
-      outH = imgSizeH_[0];
-      outW = imgSizeW_[0];
-    } else {
-      outH = outputH_[0];
-      outW = outputW_[0];
-    }
+    int outH = outputH_[0];
+    int outW = outputW_[0];
 
     hl_tensor_reshape(outputDesc_,
                       batchSize,
diff --git a/paddle/gserver/layers/ExpandConvBaseLayer.cpp b/paddle/gserver/layers/ExpandConvBaseLayer.cpp
index fdcf994cdb47f..77736e78f9349 100644
--- a/paddle/gserver/layers/ExpandConvBaseLayer.cpp
+++ b/paddle/gserver/layers/ExpandConvBaseLayer.cpp
@@ -22,26 +22,8 @@ bool ExpandConvBaseLayer::init(const LayerMap &layerMap,
   /* Initialize the basic convolutional parent class */
   ConvBaseLayer::init(layerMap, parameterMap);
 
-  /* The class fields channels_ and numFilters_ are the same as in the config
-   * i.e., channels_ is the for the input and numFilters_ is for the output
-   *
-   * But in order for the variables in convTrans having the same semantic
-   * meaning as in conv, we need to swap channels_ and numFilters here for
-   * convTrans, and in other functions too.
-   * */
-
-  /* Initialize the projection */
   for (auto &inputConfig : config_.inputs()) {
     const ConvConfig &conf = inputConfig.conv_conf();
-    int numFilters = isDeconv_ ? conf.channels() : numFilters_;
-    subM_.push_back(numFilters / conf.groups());
-    subN_.push_back(conf.output_x() *
-                    (conf.has_output_y() ? conf.output_y() : conf.output_x()));
-    int channel = isDeconv_ ? numFilters_ : conf.channels();
-    subK_.push_back(
-        channel * conf.filter_size() *
-        (conf.has_filter_size_y() ? conf.filter_size_y() : conf.filter_size()) /
-        conf.groups());
     /* Consistent caffe mode for multiple input */
     caffeMode_ = conf.caffe_mode();
   }
@@ -54,17 +36,9 @@ bool ExpandConvBaseLayer::init(const LayerMap &layerMap,
 size_t ExpandConvBaseLayer::getOutputSize() {
   CHECK_NE(inputLayers_.size(), 0UL);
   size_t layerSize = ConvBaseLayer::calOutputSize();
-  subN_.clear();
-  for (size_t i = 0; i < inputLayers_.size(); i++) {
-    subN_.push_back(outputH_[i] * outputW_[i]);
-  }
   return layerSize;
 }
 
-void ExpandConvBaseLayer::resetExpandInput(size_t height, size_t width) {
-  Matrix::resizeOrCreate(expandInput_, height, width, false, useGpu_);
-}
-
 void ExpandConvBaseLayer::addSharedBias() {
   size_t mapW = getOutputSize() / numFilters_;
   size_t mapH = getOutputValue()->getElementCnt() / mapW;
@@ -101,173 +75,6 @@ void ExpandConvBaseLayer::addUnsharedBias() {
   outValue->addBias(*bias, 1.0f);
 }
 
-void ExpandConvBaseLayer::expandOneFrame(MatrixPtr image,
-                                         size_t startIdx,
-                                         int inIdx) {
-  int channel = isDeconv_ ? numFilters_ : channels_[inIdx];
-
-  resetExpandInput(subK_[inIdx] * groups_[inIdx], subN_[inIdx]);
-
-  CHECK_EQ(image->getWidth(),
-           static_cast<size_t>(imgSizeH_[inIdx] * imgSizeW_[inIdx] * channel));
-
-  real *imgData = image->getData() + startIdx * image->getWidth();
-  MatrixPtr imageTmp =
-      Matrix::create(imgData,
-                     1,
-                     imgSizeH_[inIdx] * imgSizeW_[inIdx] * channel,
-                     false,
-                     useGpu_);
-  expandInput_->convExpand(*imageTmp,
-                           imgSizeH_[inIdx],
-                           imgSizeW_[inIdx],
-                           channel,
-                           filterSizeY_[inIdx],
-                           filterSize_[inIdx],
-                           strideY_[inIdx],
-                           stride_[inIdx],
-                           paddingY_[inIdx],
-                           padding_[inIdx],
-                           outputH_[inIdx],
-                           outputW_[inIdx]);
-  imageTmp->clear();
-}
-
-void ExpandConvBaseLayer::expandFwdOnce(MatrixPtr image,
-                                        MatrixPtr out,
-                                        int inIdx,
-                                        int startIdx) {
-  int subM = subM_[inIdx];
-  int subN = subN_[inIdx];
-  int subK = subK_[inIdx];
-
-  expandOneFrame(image, startIdx, inIdx);
-
-  int numFilters = isDeconv_ ? channels_[inIdx] : numFilters_;
-
-  real *outData = out->getData() + startIdx * subN * numFilters;
-
-  real *wgtData = weights_[inIdx]->getW()->getData();
-  real *expInData = expandInput_->getData();
-  for (int g = 0; g < groups_[inIdx]; ++g) {
-    MatrixPtr A =
-        Matrix::create(wgtData, subM, subK, false, useGpu_);  // mark transpose
-    MatrixPtr B = Matrix::create(expInData, subK, subN, false, useGpu_);
-    MatrixPtr C = Matrix::create(outData, subM, subN, false, useGpu_);
-    C->mul(*A, *B, 1, 1);
-
-    A->clear();
-    B->clear();
-    C->clear();
-    wgtData += subK * subM;
-    expInData += subK * subN;
-    outData += subM * subN;
-  }
-}
-
-void ExpandConvBaseLayer::bpropActs(MatrixPtr out,
-                                    MatrixPtr image,
-                                    int inpIdx) {
-  int channel = isDeconv_ ? numFilters_ : channels_[inpIdx];
-
-  int subM = subM_[inpIdx];
-  int subN = subN_[inpIdx];
-  int subK = subK_[inpIdx];
-  size_t batchSize = image->getHeight();
-
-  /* reset the expand-grad memory */
-  resetExpandInput(subK * groups_[inpIdx], subN);
-
-  real *localGradData = out->getData();
-  real *tgtGradData = image->getData();
-  for (size_t n = 0; n < batchSize; n++) {
-    real *wgtData = weights_[inpIdx]->getW()->getData();
-    real *expandInData = expandInput_->getData();
-
-    for (int g = 0; g < groups_[inpIdx]; g++) {
-      // create temporary matrix
-      MatrixPtr C = Matrix::create(expandInData, subK, subN, false, useGpu_);
-      MatrixPtr B = Matrix::create(localGradData, subM, subN, false, useGpu_);
-      MatrixPtr A = Matrix::create(wgtData, subM, subK, true, useGpu_);
-      C->mul(*A, *B);  // mul
-
-      // clear the temporary matrix
-      A->clear();
-      B->clear();
-      C->clear();
-
-      expandInData += subK * subN;
-      localGradData += subM * subN;
-      wgtData += subK * subM;
-    }
-
-    // shrink one frame outGrad
-    MatrixPtr oneGradTmp = Matrix::create(
-        expandInput_->getData(), subK * groups_[inpIdx], subN, false, useGpu_);
-    MatrixPtr vTmp =
-        Matrix::create(tgtGradData,
-                       1,
-                       imgSizeH_[inpIdx] * imgSizeW_[inpIdx] * channel,
-                       false,
-                       useGpu_);
-    vTmp->convShrink(*oneGradTmp,
-                     imgSizeH_[inpIdx],
-                     imgSizeW_[inpIdx],
-                     channel,
-                     filterSizeY_[inpIdx],
-                     filterSize_[inpIdx],
-                     strideY_[inpIdx],
-                     stride_[inpIdx],
-                     paddingY_[inpIdx],
-                     padding_[inpIdx],
-                     outputH_[inpIdx],
-                     outputW_[inpIdx],
-                     1.0f,
-                     1.0f);
-    vTmp->clear();
-    oneGradTmp->clear();
-
-    // move the data-pointer
-    tgtGradData += imgSizeH_[inpIdx] * imgSizeW_[inpIdx] * channel;
-  }
-}
-
-void ExpandConvBaseLayer::bpropWeights(MatrixPtr image,
-                                       MatrixPtr out,
-                                       int inpIdx) {
-  MatrixPtr weightGrad = weights_[inpIdx]->getWGrad();
-
-  int subM = subM_[inpIdx];
-  int subN = subN_[inpIdx];
-  int subK = subK_[inpIdx];
-  size_t batchSize = image->getHeight();
-  resetExpandInput(subK * groups_[inpIdx], subN);
-
-  real *gradData = out->getData();
-
-  for (size_t n = 0; n < batchSize; n++) {  // frame by frame
-    // expand
-    expandOneFrame(image, n, inpIdx);
-    real *wGradData = weightGrad->getData();
-    real *expandInData = expandInput_->getData();
-
-    // expand-mul one-group by one
-    for (int g = 0; g < groups_[inpIdx]; g++) {
-      MatrixPtr A = Matrix::create(expandInData, subK, subN, true, useGpu_);
-      MatrixPtr B = Matrix::create(gradData, subM, subN, false, useGpu_);
-      MatrixPtr C = Matrix::create(wGradData, subM, subK, false, useGpu_);
-      C->mul(*B, *A, 1, 1);
-
-      A->clear();
-      B->clear();
-      C->clear();
-      gradData += subM * subN;
-      wGradData += subK * subM;
-      expandInData += subK * subN;
-    }
-  }
-}
-
 void ExpandConvBaseLayer::bpropSharedBias(MatrixPtr biases, MatrixPtr v) {
   size_t mapW = getOutputSize() / numFilters_;
   size_t mapH = v->getElementCnt() / mapW;
diff --git a/paddle/gserver/layers/ExpandConvBaseLayer.h b/paddle/gserver/layers/ExpandConvBaseLayer.h
index aabcdfc392d3e..01c699d234444 100644
--- a/paddle/gserver/layers/ExpandConvBaseLayer.h
+++ b/paddle/gserver/layers/ExpandConvBaseLayer.h
@@ -26,19 +26,6 @@ namespace paddle {
  */
 class ExpandConvBaseLayer : public ConvBaseLayer {
 protected:
-  /// For expand convolution.
-  /// subM_ = numFilters_ / groups_.
-  IntV subM_;
-  /// subN_ = outputH_ * outputW_.
-  IntV subN_;
-  /// subK_ = channels_ * filterPixels_ * groups_.
-  IntV subK_;
-
-  /*The expandInput_ and transOutValue_ are used for CPU expand conv calc
-   * Expand one sample at a time. shape:
-   * (numChannels * filterPixels_, outputSizeH * outputSizeW)
-   * */
-  MatrixPtr expandInput_;
   /// The transpose of output, which is an auxiliary matrix.
   MatrixPtr transOutValue_;
 
@@ -52,10 +39,6 @@ class ExpandConvBaseLayer : public ConvBaseLayer {
             const ParameterMap& parameterMap) override;
 
   size_t getOutputSize();
-  /**
-   * Create or resize expandInput_.
-   */
-  void resetExpandInput(size_t height, size_t width);
 
   /**
    * Add shared bias.
@@ -66,20 +49,9 @@ class ExpandConvBaseLayer : public ConvBaseLayer {
    * Add unshared bias.
    */
   void addUnsharedBias();
-  /**
-   * Expand one input sample.
-   */
-  void expandOneFrame(MatrixPtr image, size_t startIdx, int inIdx);
-
-  /**
-   * Expand one input sample and perform matrix multiplication.
-   */
-  void expandFwdOnce(MatrixPtr image, MatrixPtr out, int inIdx, int startIdx);
 
   void bpropSharedBias(MatrixPtr biases, MatrixPtr v);
   void bpropBiases(MatrixPtr v);
-  void bpropWeights(MatrixPtr image, MatrixPtr out, int inpIdx);
-  void bpropActs(MatrixPtr image, MatrixPtr out, int inpIdx);
 };
 
 }  // namespace paddle
diff --git a/paddle/gserver/layers/ExpandConvLayer.cpp b/paddle/gserver/layers/ExpandConvLayer.cpp
index f9267b81a7d42..914689e66cdb8 100644
--- a/paddle/gserver/layers/ExpandConvLayer.cpp
+++ b/paddle/gserver/layers/ExpandConvLayer.cpp
@@ -18,32 +18,94 @@ limitations under the License. */
 
 namespace paddle {
 
+/*
+ * The calculation of the exconvt(convolution transpose (deconv) operation)
+ * is a swap of forward and backward of the calculation of exconv.
+ * */
 REGISTER_LAYER(exconv, ExpandConvLayer);
+REGISTER_LAYER(exconvt, ExpandConvLayer);
 
 bool ExpandConvLayer::init(const LayerMap &layerMap,
                            const ParameterMap &parameterMap) {
   /* Initialize the basic convolutional parent class */
   ExpandConvBaseLayer::init(layerMap, parameterMap);
+
+  size_t numInputs = config_.inputs_size();
+  inputShape_.resize(numInputs);
+  filterShape_.resize(numInputs);
+  outputShape_.resize(numInputs);
+  for (int i = 0; i < config_.inputs_size(); i++) {
+    std::vector<size_t> paddings = {(size_t)paddingY_[i], (size_t)padding_[i]};
+    std::vector<size_t> strides = {(size_t)strideY_[i], (size_t)stride_[i]};
+    createFunction(forward_,
+                   !isDeconv_ ? "GemmConv" : "GemmConvGradInput",
+                   FuncConfig()
+                       .set("paddings", paddings)
+                       .set("strides", strides)
+                       .set("groups", (size_t)groups_[i]));
+
+    createFunction(backward_,
+                   !isDeconv_ ? "GemmConvGradInput" : "GemmConv",
+                   FuncConfig()
+                       .set("paddings", paddings)
+                       .set("strides", strides)
+                       .set("groups", (size_t)groups_[i]));
+
+    createFunction(backward_,
+                   "GemmConvGradFilter",
+                   FuncConfig()
+                       .set("paddings", paddings)
+                       .set("strides", strides)
+                       .set("groups", (size_t)groups_[i]));
+  }
   return true;
 }
 
+// i is the index of input layers
+#define BACKWARD_INPUT(i, inputs, outputs) \
+  backward_[2 * i]->calc(inputs, outputs)
+#define BACKWARD_FILTER(i, inputs, outputs) \
+  backward_[2 * i + 1]->calc(inputs, outputs)
+
 void ExpandConvLayer::forward(PassType passType) {
   Layer::forward(passType);
 
-  /* malloc memory for the output_ if necessary */
-  int batchSize = inputLayers_[0]->getOutputValue()->getHeight();
+  size_t batchSize = inputLayers_[0]->getOutputValue()->getHeight();
   resetOutput(batchSize, getOutputSize());
 
-  MatrixPtr image = nullptr;
-  MatrixPtr outV = getOutputValue();
+  // Calculate the shape of the input, output, and filter.
   for (size_t i = 0; i < inputLayers_.size(); ++i) {
-    LayerPtr prevLayer = getPrev(i);
-    image = prevLayer->getOutputValue();
-    for (size_t off = 0; off < image->getHeight(); off++) {
-      REGISTER_TIMER_INFO("expandFwdOnce", getName().c_str());
-      expandFwdOnce(image, outV, i, off);
-    }
+    inputShape_[i] = TensorShape({(size_t)batchSize,
+                                  (size_t)channels_[i],
+                                  (size_t)imgSizeH_[i],
+                                  (size_t)imgSizeW_[i]});
+    filterShape_[i] =
+        TensorShape({(size_t)groups_[i],
+                     !isDeconv_ ? (size_t)numFilters_ / groups_[i]
+                                : (size_t)channels_[i] / groups_[i],
+                     !isDeconv_ ? (size_t)channels_[i] / groups_[i]
+                                : (size_t)numFilters_ / groups_[i],
+                     (size_t)filterSizeY_[i],
+                     (size_t)filterSize_[i]});
+    outputShape_[i] = TensorShape({(size_t)batchSize,
+                                   (size_t)numFilters_,
+                                   (size_t)outputH_[i],
+                                   (size_t)outputW_[i]});
   }
+
+  // Calculate the output value.
+  for (size_t i = 0; i < inputLayers_.size(); ++i) {
+    BufferArgs inputs;
+    BufferArgs outputs;
+    inputs.addArg(*getInputValue(i), inputShape_[i]);
+    inputs.addArg(*weights_[i]->getW(), filterShape_[i]);
+    outputs.addArg(*getOutputValue(),
+                   outputShape_[i],
+                   !isDeconv_ && i == 0 ? ASSIGN_TO : ADD_TO);
+
+    forward_[i]->calc(inputs, outputs);
+  }
+
   /* add the bias-vector */
   if (biases_.get()) {
     if (sharedBiases_) {
@@ -67,14 +129,30 @@ void ExpandConvLayer::backward(const UpdateCallback &callback) {
     biases_->getParameterPtr()->incUpdate(callback);
   }
 
+  // Calculate the input grad and filter grad.
   for (size_t i = 0; i < inputLayers_.size(); ++i) {
-    /* First, calculate the input layers error */
-    if (getPrev(i)->getOutputGrad()) {
-      bpropActs(outGrad, getPrev(i)->getOutputGrad(), i);
+    if (getInputGrad(i)) {
+      BufferArgs inputs;
+      BufferArgs outputs;
+      inputs.addArg(*getOutputGrad(), outputShape_[i]);
+      inputs.addArg(*weights_[i]->getW(), filterShape_[i]);
+      outputs.addArg(*getInputGrad(i), inputShape_[i], ADD_TO);
+      BACKWARD_INPUT(i, inputs, outputs);
     }
+
     if (weights_[i]->getWGrad()) {
-      /* Then, calculate the W-gradient for the current layer */
-      bpropWeights(getPrev(i)->getOutputValue(), outGrad, i);
+      BufferArgs inputs;
+      BufferArgs outputs;
+      if (!isDeconv_) {
+        inputs.addArg(*getOutputGrad(), outputShape_[i]);
+        inputs.addArg(*getInputValue(i), inputShape_[i]);
+      } else {
+        inputs.addArg(*getInputValue(i), inputShape_[i]);
+        inputs.addArg(*getOutputGrad(), outputShape_[i]);
+      }
+      outputs.addArg(*weights_[i]->getWGrad(), filterShape_[i], ADD_TO);
+      BACKWARD_FILTER(i, inputs, outputs);
+
       /* Increasing the number of gradient */
       weights_[i]->getParameterPtr()->incUpdate(callback);
     }
diff --git a/paddle/gserver/layers/ExpandConvLayer.h b/paddle/gserver/layers/ExpandConvLayer.h
index 60681690e5dd5..a1f943d152154 100644
--- a/paddle/gserver/layers/ExpandConvLayer.h
+++ b/paddle/gserver/layers/ExpandConvLayer.h
@@ -40,6 +40,11 @@ class ExpandConvLayer : public ExpandConvBaseLayer {
 
   void forward(PassType passType) override;
   void backward(const UpdateCallback& callback) override;
+
+protected:
+  std::vector<TensorShape> inputShape_;
+  std::vector<TensorShape> filterShape_;
+  std::vector<TensorShape> outputShape_;
 };
 
 }  // namespace paddle
diff --git a/paddle/gserver/layers/ExpandConvTransLayer.cpp b/paddle/gserver/layers/ExpandConvTransLayer.cpp
deleted file mode 100644
index 520586b138897..0000000000000
--- a/paddle/gserver/layers/ExpandConvTransLayer.cpp
+++ /dev/null
@@ -1,90 +0,0 @@
-/* Copyright (c) 2016 PaddlePaddle Authors. All Rights Reserve.
-
-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. */
-
-#include "ExpandConvTransLayer.h"
-#include "paddle/utils/Logging.h"
-#include "paddle/utils/Stat.h"
-
-/* The implementation of the convTransLayer is basically a swap of forward and
- * backward of the original convLayer.
- * The variable naming follows the convention of the convLayer.
- * */
-
-namespace paddle {
-
-REGISTER_LAYER(exconvt, ExpandConvTransLayer);
-
-bool ExpandConvTransLayer::init(const LayerMap &layerMap,
-                                const ParameterMap &parameterMap) {
-  /* Initialize the basic convolutional parent class */
-  ExpandConvBaseLayer::init(layerMap, parameterMap);
-
-  return true;
-}
-
-void ExpandConvTransLayer::forward(PassType passType) {
-  Layer::forward(passType);
-
-  /* malloc memory for the output_ if necessary */
-  int batchSize = inputLayers_[0]->getOutputValue()->getHeight();
-  resetOutput(batchSize, getOutputSize());
-
-  MatrixPtr output = nullptr;
-  for (size_t i = 0; i < inputLayers_.size(); ++i) {
-    LayerPtr prevLayer = getPrev(i);
-    output = prevLayer->getOutputValue();
-    REGISTER_TIMER_INFO("shrinkFwd", getName().c_str());
-    bpropActs(output, getOutputValue(), i);
-  }
-
-  /* add the bias-vector */
-  if (biases_.get()) {
-    if (sharedBiases_) {
-      addSharedBias();
-    } else {
-      addUnsharedBias();
-    }
-  }
-
-  /* activation */
-  forwardActivation();
-}
-
-void ExpandConvTransLayer::backward(const UpdateCallback &callback) {
-  backwardActivation();
-
-  MatrixPtr imageGrad = getOutputGrad();
-  if (biases_ && biases_->getWGrad()) {
-    bpropBiases(imageGrad);
-    /* Increasing the number of gradient */
-    biases_->getParameterPtr()->incUpdate(callback);
-  }
-
-  for (size_t i = 0; i < inputLayers_.size(); ++i) {
-    /* First, calculate the input layers error */
-    for (size_t off = 0; off < imageGrad->getHeight(); off++) {
-      if (getPrev(i)->getOutputGrad()) {
-        expandFwdOnce(imageGrad, getPrev(i)->getOutputGrad(), i, off);
-      }
-    }
-    if (weights_[i]->getWGrad()) {
-      /* Then, calculate the W-gradient for the current layer */
-      bpropWeights(imageGrad, getPrev(i)->getOutputValue(), i);
-      /* Increasing the number of gradient */
-      weights_[i]->getParameterPtr()->incUpdate(callback);
-    }
-  }
-}
-
-}  // namespace paddle
diff --git a/paddle/gserver/layers/ExpandConvTransLayer.h b/paddle/gserver/layers/ExpandConvTransLayer.h
deleted file mode 100644
index 00b8f241889fd..0000000000000
--- a/paddle/gserver/layers/ExpandConvTransLayer.h
+++ /dev/null
@@ -1,44 +0,0 @@
-/* Copyright (c) 2016 PaddlePaddle Authors. All Rights Reserve.
-
-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 <vector>
-#include "ExpandConvBaseLayer.h"
-#include "paddle/math/Matrix.h"
-
-namespace paddle {
-
-/**
- * @brief A subclass of convolution layer.
- * This layer expands input and use matrix multiplication to
- * calculate convolution transpose (deconv) operation.
- *
- * The config file api is img_conv_layer with flag trans=True.
- */
-class ExpandConvTransLayer : public ExpandConvBaseLayer {
-public:
-  explicit ExpandConvTransLayer(const LayerConfig& config)
-      : ExpandConvBaseLayer(config) {}
-
-  ~ExpandConvTransLayer() {}
-
-  bool init(const LayerMap& layerMap,
-            const ParameterMap& parameterMap) override;
-
-  void forward(PassType passType) override;
-  void backward(const UpdateCallback& callback) override;
-};
-
-}  // namespace paddle
diff --git a/paddle/gserver/tests/test_BatchNorm.cpp b/paddle/gserver/tests/test_BatchNorm.cpp
index d07299bfe3c41..83fcfed46cd56 100644
--- a/paddle/gserver/tests/test_BatchNorm.cpp
+++ b/paddle/gserver/tests/test_BatchNorm.cpp
@@ -17,7 +17,6 @@ limitations under the License. */
 #include <vector>
 #include "ModelConfig.pb.h"
 #include "paddle/gserver/layers/DataLayer.h"
-#include "paddle/gserver/layers/ExpandConvTransLayer.h"
 #include "paddle/trainer/Trainer.h"
 #include "paddle/utils/GlobalConstants.h"
 
diff --git a/paddle/gserver/tests/test_ConvTrans.cpp b/paddle/gserver/tests/test_ConvTrans.cpp
index 40bb1e2d73c81..6035a866b4eee 100644
--- a/paddle/gserver/tests/test_ConvTrans.cpp
+++ b/paddle/gserver/tests/test_ConvTrans.cpp
@@ -17,7 +17,6 @@ limitations under the License. */
 #include <vector>
 #include "ModelConfig.pb.h"
 #include "paddle/gserver/layers/DataLayer.h"
-#include "paddle/gserver/layers/ExpandConvTransLayer.h"
 #include "paddle/math/MathUtils.h"
 #include "paddle/trainer/Trainer.h"
 #include "paddle/utils/GlobalConstants.h"
diff --git a/paddle/gserver/tests/test_ConvUnify.cpp b/paddle/gserver/tests/test_ConvUnify.cpp
index 54b72375b743f..e7325e0cc3b71 100644
--- a/paddle/gserver/tests/test_ConvUnify.cpp
+++ b/paddle/gserver/tests/test_ConvUnify.cpp
@@ -17,7 +17,6 @@ limitations under the License. */
 #include <vector>
 #include "ModelConfig.pb.h"
 #include "paddle/gserver/layers/DataLayer.h"
-#include "paddle/gserver/layers/ExpandConvTransLayer.h"
 #include "paddle/math/MathUtils.h"
 #include "paddle/trainer/Trainer.h"
 #include "paddle/utils/GlobalConstants.h"