diff --git a/colossalai/kernel/cuda_native/csrc/multi_tensor_lamb.cu b/colossalai/kernel/cuda_native/csrc/multi_tensor_lamb.cu
index 15ac20914..54c422019 100644
--- a/colossalai/kernel/cuda_native/csrc/multi_tensor_lamb.cu
+++ b/colossalai/kernel/cuda_native/csrc/multi_tensor_lamb.cu
@@ -15,7 +15,8 @@
 #define BLOCK_SIZE 512
 #define ILP 4
 
-template <typename T> __device__ __forceinline__ bool is_aligned(T *p) {
+template <typename T>
+__device__ __forceinline__ bool is_aligned(T *p) {
   return ((uint64_t)p) % (ILP * sizeof(T)) == 0;
 }
 
@@ -28,24 +29,25 @@ __device__ __forceinline__ void load_store(T *dst, T *src, int dst_offset,
 }
 
 typedef enum {
-  MOMENT_MODE_0 = 0, // L2 regularization mode
-  MOMENT_MODE_1 = 1  // Decoupled weight decay mode
+  MOMENT_MODE_0 = 0,  // L2 regularization mode
+  MOMENT_MODE_1 = 1   // Decoupled weight decay mode
 } adamMode_t;
 
-std::tuple<at::Tensor, at::Tensor>
-multi_tensor_l2norm_cuda(int chunk_size, at::Tensor noop_flag,
-                         std::vector<std::vector<at::Tensor>> tensor_lists,
-                         at::optional<bool> per_tensor_python);
+std::tuple<at::Tensor, at::Tensor> multi_tensor_l2norm_cuda(
+    int chunk_size, at::Tensor noop_flag,
+    std::vector<std::vector<at::Tensor>> tensor_lists,
+    at::optional<bool> per_tensor_python);
 
 using MATH_T = float;
 
-template <typename T> struct LAMBStage1Functor {
-  __device__ __forceinline__ void
-  operator()(int chunk_size, volatile int *noop_gmem, TensorListMetadata<4> &tl,
-             const float beta1, const float beta2, const float beta3,
-             const float beta1_correction, const float beta2_correction,
-             const float epsilon, adamMode_t mode, const float decay,
-             const float *global_grad_norm, const float max_global_grad_norm) {
+template <typename T>
+struct LAMBStage1Functor {
+  __device__ __forceinline__ void operator()(
+      int chunk_size, volatile int *noop_gmem, TensorListMetadata<4> &tl,
+      const float beta1, const float beta2, const float beta3,
+      const float beta1_correction, const float beta2_correction,
+      const float epsilon, adamMode_t mode, const float decay,
+      const float *global_grad_norm, const float max_global_grad_norm) {
     // I'd like this kernel to propagate infs/nans.
     // if(*noop_gmem == 1)
     //   return;
@@ -89,8 +91,7 @@ template <typename T> struct LAMBStage1Functor {
            i_start += blockDim.x) {
         // load
         load_store(l_g, g, 0, i_start);
-        if (decay != 0)
-          load_store(l_p, p, 0, i_start);
+        if (decay != 0) load_store(l_p, p, 0, i_start);
         load_store(l_m, m, 0, i_start);
         load_store(l_v, v, 0, i_start);
         // unpack
@@ -204,12 +205,12 @@ template <typename T> struct LAMBStage1Functor {
 
 // Step 2 reads in 'update' value and per-tensor param_norm and update_norm.
 // It computes new parameter value.
-template <typename T> struct LAMBStage2Functor {
-  __device__ __forceinline__ void
-  operator()(int chunk_size, volatile int *noop_gmem, TensorListMetadata<2> &tl,
-             const float *per_tensor_param_norm,
-             const float *per_tensor_update_norm, const float learning_rate,
-             const float decay, bool use_nvlamb) {
+template <typename T>
+struct LAMBStage2Functor {
+  __device__ __forceinline__ void operator()(
+      int chunk_size, volatile int *noop_gmem, TensorListMetadata<2> &tl,
+      const float *per_tensor_param_norm, const float *per_tensor_update_norm,
+      const float learning_rate, const float decay, bool use_nvlamb) {
     // I'd like this kernel to propagate infs/nans.
     // if(*noop_gmem == 1)
     //   return;
@@ -310,8 +311,7 @@ void multi_tensor_lamb_cuda(int chunk_size, at::Tensor noop_flag,
 
   // Handle grad averaging mode
   float beta3 = 1.0f;
-  if (grad_averaging == 1)
-    beta3 = 1 - beta1;
+  if (grad_averaging == 1) beta3 = 1 - beta1;
 
   std::vector<std::vector<at::Tensor>> grad_list(tensor_lists.begin(),
                                                  tensor_lists.begin() + 1);
@@ -330,7 +330,7 @@ void multi_tensor_lamb_cuda(int chunk_size, at::Tensor noop_flag,
       tensor_lists[0][0].scalar_type(), 0, "lamb_stage_1",
       multi_tensor_apply<4>(BLOCK_SIZE, chunk_size, noop_flag, tensor_lists,
                             LAMBStage1Functor<scalar_t_0>(), beta1, beta2,
-                            beta3, // 1-beta1 or 1 depends on averaging mode
+                            beta3,  // 1-beta1 or 1 depends on averaging mode
                             bias_correction1, bias_correction2, epsilon,
                             (adamMode_t)mode, weight_decay,
                             global_grad_norm.DATA_PTR<float>(), max_grad_norm);)