     const int N = SizeToAxis(axis, dims);
     const int D = SizeOutAxis(axis, dims);
 
+    constexpr int max_dim = 320;
+    bool optimize = false;
     constexpr int warps_per_block = 4;
-    if (D == 1 && dim == 128 && N % warps_per_block == 0 && sizeof(T) <= 4) {
-      // a warp for a batch, 4 elements for a thread, only support the softmax
-      // dim size = 128 currently
-      if (sizeof(T) == 2) {
-        VecSoftmaxForward<
-            T, int2, 4,
-            warps_per_block><<<N / warps_per_block, warps_per_block * WARP_SIZE,
-                               0, ctx.cuda_device_context().stream()>>>(
-            out_data, x->data<T>(), N, dim);
-      } else if (sizeof(T) == 4) {
-        VecSoftmaxForward<
-            T, int4, 4,
-            warps_per_block><<<N / warps_per_block, warps_per_block * WARP_SIZE,
-                               0, ctx.cuda_device_context().stream()>>>(
-            out_data, x->data<T>(), N, dim);
-      } else {
-        assert(false && "not support");
+    if (D == 1 && dim <= max_dim && sizeof(T) <= 4) {
+      if (dim == 128 && N % warps_per_block == 0) {
+        optimize = true;
+        // a warp for a batch, 4 elements for a thread, only support the softmax
+        // dim size = 128 currently
+        if (sizeof(T) == 2) {
+          VecSoftmaxForward<T, int2, 4, warps_per_block><<<
+              N / warps_per_block, warps_per_block * WARP_SIZE, 0,
+              ctx.cuda_device_context().stream()>>>(out_data, x->data<T>(), N,
+                                                    dim);
+        } else if (sizeof(T) == 4) {
+          VecSoftmaxForward<T, int4, 4, warps_per_block><<<
+              N / warps_per_block, warps_per_block * WARP_SIZE, 0,
+              ctx.cuda_device_context().stream()>>>(out_data, x->data<T>(), N,
+                                                    dim);
+        } else {
+          assert(false && "not support");
+        }
+      } else if (dim < max_dim) {
+        optimize = true;
+        int log2_elements = static_cast<int>(log2_ceil(dim));
+        const int next_power_of_two = 1 << log2_elements;
+
+        int warp_size = (next_power_of_two < 32) ? next_power_of_two : 32;
+
+        int batches_per_warp = (next_power_of_two <= 128) ? 2 : 1;
+
+        // use 128 threads per block to maximimize gpu utilization
+        constexpr int threads_per_block = 128;
+
+        int warps_per_block = (threads_per_block / warp_size);
+        int batches_per_block = warps_per_block * batches_per_warp;
+        int blocks = (N + batches_per_block - 1) / batches_per_block;
+        dim3 threads(warp_size, warps_per_block, 1);
+
+        switch (log2_elements) {
+          LAUNCH_SOFTMAX_WARP_FORWARD(0);  // 1
+          LAUNCH_SOFTMAX_WARP_FORWARD(1);  // 2
+          LAUNCH_SOFTMAX_WARP_FORWARD(2);  // 4
+          LAUNCH_SOFTMAX_WARP_FORWARD(3);  // 8
+          LAUNCH_SOFTMAX_WARP_FORWARD(4);  // 16
+          LAUNCH_SOFTMAX_WARP_FORWARD(5);  // 32
+          LAUNCH_SOFTMAX_WARP_FORWARD(6);  // 64
+          LAUNCH_SOFTMAX_WARP_FORWARD(7);  // 128
+          LAUNCH_SOFTMAX_WARP_FORWARD(8);  // 256
+          LAUNCH_SOFTMAX_WARP_FORWARD(9);  // 512
+          default:
+            break;
+        }
       }
-    } else {
+    }
+    if (!optimize) {
       ScopedTensorDescriptor desc;
       std::vector<int> tensor_dims = {N, dim, D, 1};
       DataLayout layout = DataLayout::kNCHW;

#include "paddle/fluid/framework/op_registry.h"
#include "paddle/fluid/operators/math/math_cuda_utils.h"
#include "paddle/fluid/operators/softmax_op.h"
#include "paddle/fluid/platform/cudnn_helper.h"

namespace paddle {

  reinterpret_cast<VECT*>(&dst[offset + idx])[0] = buf;
}

template <typename T, int WARP_BATCH, int WARP_SIZE_SOFTMAX>
__device__ __forceinline__ void warp_reduce_sum(T* sum) {
#pragma unroll
  for (int offset = WARP_SIZE_SOFTMAX / 2; offset > 0; offset /= 2) {
#pragma unroll
    for (int i = 0; i < WARP_BATCH; ++i) {
      T sum_val = platform::CudaShuffleXorSync(0xFFFFFFFF, sum[i], offset);
      sum[i] = sum[i] + sum_val;
    }
  }
}

template <typename T, int WARP_BATCH, int WARP_SIZE_SOFTMAX>
__device__ __forceinline__ void warp_reduce_max(T* sum) {
#pragma unroll
  for (int offset = WARP_SIZE_SOFTMAX / 2; offset > 0; offset /= 2) {
#pragma unroll
    for (int i = 0; i < WARP_BATCH; ++i) {
      T max_val = platform::CudaShuffleXorSync(0xFFFFFFFF, sum[i], offset);
      sum[i] = max(sum[i], max_val);
    }
  }
}

template <typename T, typename AccT, int Log2Elements>
__global__ void WarpSoftmaxForward(T* dst, const T* src, const int batch_size,
                                   const int stride, const int element_count) {
  constexpr int next_power_of_two = 1 << Log2Elements;
  constexpr int warp_size_softmax =
      (next_power_of_two < 32) ? next_power_of_two : 32;
  constexpr int WARP_ITERATIONS = next_power_of_two / warp_size_softmax;
  constexpr int WARP_BATCH = (next_power_of_two <= 128) ? 2 : 1;

  int first_batch = (blockDim.y * blockIdx.x + threadIdx.y) * WARP_BATCH;

  int local_batches = batch_size - first_batch;
  if (local_batches > WARP_BATCH) {
    local_batches = WARP_BATCH;
  }

  int local_idx = threadIdx.x;

  src += first_batch * stride + local_idx;
  dst += first_batch * stride + local_idx;

  // load data from global memory
  AccT elements[WARP_BATCH][WARP_ITERATIONS];
  for (int i = 0; i < WARP_BATCH; ++i) {
    int batch_element_count = (i >= local_batches) ? 0 : element_count;
    for (int it = 0; it < WARP_ITERATIONS; ++it) {
      int element_index = local_idx + it * warp_size_softmax;
      if (element_index < batch_element_count) {
        elements[i][it] =
            static_cast<float>(src[i * element_count + it * warp_size_softmax]);
      } else {
        elements[i][it] = -std::numeric_limits<AccT>::infinity();
      }
    }
  }

  // compute max_value
  AccT max_value[WARP_BATCH];
#pragma unroll
  for (int i = 0; i < WARP_BATCH; ++i) {
    max_value[i] = elements[i][0];
#pragma unroll
    for (int it = 1; it < WARP_ITERATIONS; ++it) {
      max_value[i] =
          (max_value[i] > elements[i][it]) ? max_value[i] : elements[i][it];
    }
  }
  warp_reduce_max<AccT, WARP_BATCH, warp_size_softmax>(max_value);

  AccT sum[WARP_BATCH]{0.0f};
#pragma unroll
  for (int i = 0; i < WARP_BATCH; ++i) {
#pragma unroll
    for (int it = 0; it < WARP_ITERATIONS; ++it) {
      elements[i][it] = (std::exp((elements[i][it] - max_value[i])));
      sum[i] += elements[i][it];
    }
  }
  warp_reduce_sum<AccT, WARP_BATCH, warp_size_softmax>(sum);

// store result
#pragma unroll
  for (int i = 0; i < WARP_BATCH; ++i) {
    if (i >= local_batches) break;
#pragma unroll
    for (int it = 0; it < WARP_ITERATIONS; ++it) {
      int element_index = local_idx + it * warp_size_softmax;
      if (element_index < element_count) {
        dst[i * element_count + it * warp_size_softmax] =
            elements[i][it] / sum[i];
      } else {
        break;
      }
    }
  }
}

template <typename T, int VPT, int WARP_PER_BLOCK>
__global__ void VecSoftmaxBackward(T* dst, const T* grad, const T* src,
                                   const int batch_size,
