diff --git a/paddle/function/cross_map_normal_op.cpp b/paddle/function/cross_map_normal_op.cpp
index a18c0bb750..a9c7693830 100644
--- a/paddle/function/cross_map_normal_op.cpp
+++ b/paddle/function/cross_map_normal_op.cpp
@@ -20,7 +20,7 @@ namespace paddle {
 template <>
 void CrossMapNormal<DEVICE_TYPE_CPU>(real* outputs,
                                      real* denoms,
-                                     real* inputs,
+                                     const real* inputs,
                                      size_t numSamples,
                                      size_t channels,
                                      size_t height,
@@ -32,7 +32,7 @@ void CrossMapNormal<DEVICE_TYPE_CPU>(real* outputs,
   size_t oneSample = channels * oneImage;
 
   CpuVector outputsV(numSamples * oneSample, outputs);
-  CpuVector inputsV(numSamples * oneSample, inputs);
+  CpuVector inputsV(numSamples * oneSample, const_cast<real*>(inputs));
   CpuVector denomsV(numSamples * oneSample, denoms);
 
   // f(x) = x * ( 1 + scale * SUM((x)^2) )^(-pow)
@@ -44,7 +44,7 @@ void CrossMapNormal<DEVICE_TYPE_CPU>(real* outputs,
   const int end = (int)size + start;
   for (size_t i = 0; i < numSamples; i++) {
     real* oneDenom = denoms + i * oneSample;
-    real* oneInput = inputs + i * oneSample;
+    real* oneInput = const_cast<real*>(inputs) + i * oneSample;
     for (int c = 0; c < (int)channels; c++) {
       CpuVector denom(oneImage, oneDenom + c * oneImage);
       for (int s = start; s < end; s++) {
@@ -61,10 +61,10 @@ void CrossMapNormal<DEVICE_TYPE_CPU>(real* outputs,
 
 template <>
 void CrossMapNormalGrad<DEVICE_TYPE_CPU>(real* inputsGrad,
-                                         real* inputsValue,
-                                         real* outputsValue,
-                                         real* outputsGrad,
-                                         real* denoms,
+                                         const real* inputsValue,
+                                         const real* outputsValue,
+                                         const real* outputsGrad,
+                                         const real* denoms,
                                          size_t numSamples,
                                          size_t channels,
                                          size_t height,
@@ -84,10 +84,10 @@ void CrossMapNormalGrad<DEVICE_TYPE_CPU>(real* inputsGrad,
   for (size_t i = 0; i < numSamples; i++) {
     size_t sOffset = i * oneSample;
     real* oneInputGrad = inputsGrad + sOffset;
-    real* oneInputValue = inputsValue + sOffset;
-    real* oneDenom = denoms + sOffset;
-    real* oneOutputGrad = outputsGrad + sOffset;
-    real* oneOutputValue = outputsValue + sOffset;
+    real* oneInputValue = const_cast<real*>(inputsValue) + sOffset;
+    real* oneDenom = const_cast<real*>(denoms) + sOffset;
+    real* oneOutputGrad = const_cast<real*>(outputsGrad) + sOffset;
+    real* oneOutputValue = const_cast<real*>(outputsValue) + sOffset;
 
     for (int c = 0; c < (int)channels; c++) {
       size_t cOffset = c * height * width;
diff --git a/paddle/function/cross_map_normal_op.h b/paddle/function/cross_map_normal_op.h
index e935b26e12..b1e401ad0a 100644
--- a/paddle/function/cross_map_normal_op.h
+++ b/paddle/function/cross_map_normal_op.h
@@ -37,7 +37,7 @@ namespace paddle {
 template <DeviceType Device>
 void CrossMapNormal(real* outputs,
                     real* denoms,
-                    real* inputs,
+                    const real* inputs,
                     size_t numSamples,
                     size_t channels,
                     size_t height,
@@ -66,10 +66,10 @@ void CrossMapNormal(real* outputs,
  */
 template <DeviceType Device>
 void CrossMapNormalGrad(real* inputsGrad,
-                        real* inputsValue,
-                        real* outputsValue,
-                        real* outputsGrad,
-                        real* denoms,
+                        const real* inputsValue,
+                        const real* outputsValue,
+                        const real* outputsGrad,
+                        const real* denoms,
                         size_t numSamples,
                         size_t channels,
                         size_t height,
diff --git a/paddle/function/cross_map_normal_op_gpu.cu b/paddle/function/cross_map_normal_op_gpu.cu
index 6339c04194..aae4f461b6 100644
--- a/paddle/function/cross_map_normal_op_gpu.cu
+++ b/paddle/function/cross_map_normal_op_gpu.cu
@@ -63,7 +63,7 @@ __global__ void KeCMRNormOutput(size_t inputSize, const real* in,
 template <>
 void CrossMapNormal<DEVICE_TYPE_GPU>(real* outputs,
                                      real* denoms,
-                                     real* inputs,
+                                     const real* inputs,
                                      size_t numSamples,
                                      size_t channels,
                                      size_t height,
@@ -132,10 +132,10 @@ __global__ void KeCMRNormDiff(size_t imageSize, const real* bottom_data,
 
 template <>
 void CrossMapNormalGrad<DEVICE_TYPE_GPU>(real* inputsGrad,
-                                         real* inputsValue,
-                                         real* outputsValue,
-                                         real* outputsGrad,
-                                         real* denoms,
+                                         const real* inputsValue,
+                                         const real* outputsValue,
+                                         const real* outputsGrad,
+                                         const real* denoms,
                                          size_t numSamples,
                                          size_t channels,
                                          size_t height,
diff --git a/paddle/math/tests/test_matrixCompare.cpp b/paddle/math/tests/test_matrixCompare.cpp
index 440534e722..62de5b25e4 100644
--- a/paddle/math/tests/test_matrixCompare.cpp
+++ b/paddle/math/tests/test_matrixCompare.cpp
@@ -18,7 +18,6 @@ limitations under the License. */
 
 #include <gtest/gtest.h>
 #include "TensorCheck.h"
-#include "paddle/function/Function.h"
 #include "paddle/gserver/tests/TestUtil.h"
 #include "paddle/math/Matrix.h"
 #include "paddle/math/SparseMatrix.h"