diff --git a/paddle/operators/math/im2col.cc b/paddle/operators/math/im2col.cc
index a5fcf6da8cc7d336ea2bf961fc5329448b5d9b72..5727c1cab16c1379ffe77f5594c057e93a042785 100644
--- a/paddle/operators/math/im2col.cc
+++ b/paddle/operators/math/im2col.cc
@@ -24,7 +24,8 @@ namespace math {
  *   [input_channels, filter_height, filter_width, output_height, output_width]
  */
 template <class T>
-class Im2ColFunctor<kCFO, platform::CPUPlace, T> {
+class Im2ColFunctor<paddle::operators::math::ColFormat::kCFO,
+                    platform::CPUPlace, T> {
  public:
   void operator()(const framework::Tensor& im, framework::Tensor& col,
                   int stride_height, int stride_width, int padding_height,
@@ -75,7 +76,8 @@ class Im2ColFunctor<kCFO, platform::CPUPlace, T> {
  *   [input_channels, filter_height, filter_width, output_height, output_width]
  */
 template <class T>
-class Col2ImFunctor<kCFO, platform::CPUPlace, T> {
+class Col2ImFunctor<paddle::operators::math::ColFormat::kCFO,
+                    platform::CPUPlace, T> {
  public:
   void operator()(framework::Tensor& im, const framework::Tensor& col,
                   int stride_height, int stride_width, int padding_height,
@@ -117,10 +119,14 @@ class Col2ImFunctor<kCFO, platform::CPUPlace, T> {
   }
 };
 
-template class Im2ColFunctor<kCFO, platform::CPUPlace, float>;
-template class Im2ColFunctor<kCFO, platform::CPUPlace, double>;
-template class Col2ImFunctor<kCFO, platform::CPUPlace, float>;
-template class Col2ImFunctor<kCFO, platform::CPUPlace, double>;
+template class Im2ColFunctor<paddle::operators::math::ColFormat::kCFO,
+                             platform::CPUPlace, float>;
+template class Im2ColFunctor<paddle::operators::math::ColFormat::kCFO,
+                             platform::CPUPlace, double>;
+template class Col2ImFunctor<paddle::operators::math::ColFormat::kCFO,
+                             platform::CPUPlace, float>;
+template class Col2ImFunctor<paddle::operators::math::ColFormat::kCFO,
+                             platform::CPUPlace, double>;
 
 /*
  * im = [input_channels, input_height, input_width]
@@ -128,7 +134,8 @@ template class Col2ImFunctor<kCFO, platform::CPUPlace, double>;
  *   [output_height, output_width, input_channels, filter_height, filter_width]
  */
 template <class T>
-class Im2ColFunctor<kOCF, platform::CPUPlace, T> {
+class Im2ColFunctor<paddle::operators::math::ColFormat::kOCF,
+                    platform::CPUPlace, T> {
  public:
   void operator()(const framework::Tensor& im, framework::Tensor& col,
                   int stride_height, int stride_width, int padding_height,
@@ -187,7 +194,8 @@ class Im2ColFunctor<kOCF, platform::CPUPlace, T> {
  *   [output_height, output_width, input_channels, filter_height, filter_width]
  */
 template <class T>
-class Col2ImFunctor<kOCF, platform::CPUPlace, T> {
+class Col2ImFunctor<paddle::operators::math::ColFormat::kOCF,
+                    platform::CPUPlace, T> {
  public:
   void operator()(framework::Tensor& im, const framework::Tensor& col,
                   int stride_height, int stride_width, int padding_height,
@@ -238,10 +246,14 @@ class Col2ImFunctor<kOCF, platform::CPUPlace, T> {
   }
 };
 
-template class Im2ColFunctor<kOCF, platform::CPUPlace, float>;
-template class Im2ColFunctor<kOCF, platform::CPUPlace, double>;
-template class Col2ImFunctor<kOCF, platform::CPUPlace, float>;
-template class Col2ImFunctor<kOCF, platform::CPUPlace, double>;
+template class Im2ColFunctor<paddle::operators::math::ColFormat::kOCF,
+                             platform::CPUPlace, float>;
+template class Im2ColFunctor<paddle::operators::math::ColFormat::kOCF,
+                             platform::CPUPlace, double>;
+template class Col2ImFunctor<paddle::operators::math::ColFormat::kOCF,
+                             platform::CPUPlace, float>;
+template class Col2ImFunctor<paddle::operators::math::ColFormat::kOCF,
+                             platform::CPUPlace, double>;
 
 }  // namespace math
 }  // namespace operators
diff --git a/paddle/operators/math/im2col.cu b/paddle/operators/math/im2col.cu
index 64ecd4e2157436a1671e3504d7ad0705fcbc6252..9bff7bee3c95093852305d392af0949b831e5665 100644
--- a/paddle/operators/math/im2col.cu
+++ b/paddle/operators/math/im2col.cu
@@ -61,7 +61,8 @@ __global__ void im2col(const T* data_im, int num_outs, int height, int width,
  *   [input_channels, filter_height, filter_width, output_height, output_width]
  */
 template <class T>
-class Im2ColFunctor<kCFO, platform::GPUPlace, T> {
+class Im2ColFunctor<paddle::operators::math::ColFormat::kCFO,
+                    platform::GPUPlace, T> {
  public:
   void operator()(const framework::Tensor& im, framework::Tensor& col,
                   int stride_height, int stride_width, int padding_height,
@@ -145,7 +146,8 @@ __global__ void col2im(size_t n, const T* data_col, size_t height, size_t width,
  *   [input_channels, filter_height, filter_width, output_height, output_width]
  */
 template <class T>
-class Col2ImFunctor<kCFO, platform::GPUPlace, T> {
+class Col2ImFunctor<paddle::operators::math::ColFormat::kCFO,
+                    platform::GPUPlace, T> {
  public:
   void operator()(framework::Tensor& im, const framework::Tensor& col,
                   int stride_height, int stride_width, int padding_height,
@@ -182,10 +184,14 @@ class Col2ImFunctor<kCFO, platform::GPUPlace, T> {
   }
 };
 
-template class Im2ColFunctor<kCFO, platform::GPUPlace, float>;
-template class Im2ColFunctor<kCFO, platform::GPUPlace, double>;
-template class Col2ImFunctor<kCFO, platform::GPUPlace, float>;
-template class Col2ImFunctor<kCFO, platform::GPUPlace, double>;
+template class Im2ColFunctor<paddle::operators::math::ColFormat::kCFO,
+                             platform::GPUPlace, float>;
+template class Im2ColFunctor<paddle::operators::math::ColFormat::kCFO,
+                             platform::GPUPlace, double>;
+template class Col2ImFunctor<paddle::operators::math::ColFormat::kCFO,
+                             platform::GPUPlace, float>;
+template class Col2ImFunctor<paddle::operators::math::ColFormat::kCFO,
+                             platform::GPUPlace, double>;
 
 template <class T>
 __global__ void im2colOCF(const T* im_data, T* col_data, int input_channels,
@@ -226,7 +232,8 @@ __global__ void im2colOCF(const T* im_data, T* col_data, int input_channels,
  *   [output_height, output_width, input_channels, filter_height, filter_width]
  */
 template <class T>
-class Im2ColFunctor<kOCF, platform::GPUPlace, T> {
+class Im2ColFunctor<paddle::operators::math::ColFormat::kOCF,
+                    platform::GPUPlace, T> {
  public:
   void operator()(const framework::Tensor& im, framework::Tensor& col,
                   int stride_height, int stride_width, int padding_height,
@@ -308,7 +315,8 @@ __global__ void col2imOCF(T* im_data, const T* col_data, int input_channels,
  *   [output_height, output_width, input_channels, filter_height, filter_width]
  */
 template <class T>
-class Col2ImFunctor<kOCF, platform::GPUPlace, T> {
+class Col2ImFunctor<paddle::operators::math::ColFormat::kOCF,
+                    platform::GPUPlace, T> {
  public:
   void operator()(framework::Tensor& im, const framework::Tensor& col,
                   int stride_height, int stride_width, int padding_height,
@@ -352,10 +360,14 @@ class Col2ImFunctor<kOCF, platform::GPUPlace, T> {
   }
 };
 
-template class Im2ColFunctor<kOCF, platform::GPUPlace, float>;
-template class Im2ColFunctor<kOCF, platform::GPUPlace, double>;
-template class Col2ImFunctor<kOCF, platform::GPUPlace, float>;
-template class Col2ImFunctor<kOCF, platform::GPUPlace, double>;
+template class Im2ColFunctor<paddle::operators::math::ColFormat::kOCF,
+                             platform::GPUPlace, float>;
+template class Im2ColFunctor<paddle::operators::math::ColFormat::kOCF,
+                             platform::GPUPlace, double>;
+template class Col2ImFunctor<paddle::operators::math::ColFormat::kOCF,
+                             platform::GPUPlace, float>;
+template class Col2ImFunctor<paddle::operators::math::ColFormat::kOCF,
+                             platform::GPUPlace, double>;
 
 }  // namespace math
 }  // namespace operators