opt to 2x

csrc/gemm.cu

@@ -26,66 +26,89 @@ void naiveSgemm(float *a, float *b, float *c, const int M, const int N,
   }
 }
 
-const int TILE_SIZE = 32;
 /**
  * @brief Optimized implementation of matrix multiplication on GPU using shared memory.
  * Perform C = A * B, where A is M x K, B is K x N, and C is M x N.
  */
-__global__ void ZYMSgemm2D(float *a, float *b, float *c, const int M,
+ template <const int BM, const int BN, const int BK, const int TM, const int TN>
+__global__ void __launch_bounds__((BM * BN) / (TM * TN), 1) ZYMSgemm2D(const float *a,const float *b, float *c, const int M,
                                      const int N, const int K) {
-  
+  const int block_row = blockIdx.x;
-  // Shared memory for submatrices of A and B
+  const int block_col = blockIdx.y;
-  __shared__ float As[TILE_SIZE][TILE_SIZE];
+  const int elements_per_block = BM * BN;
-  __shared__ float Bs[TILE_SIZE][TILE_SIZE];
+  const int threads_per_block = (BM*BN)/(TM*TN);
-  
+  assert(blockDim.x == threads_per_block);
-  // Calculate row and column index of the element
+  const int thread_row = threadIdx.x / (BN/TN);
-  int row = blockIdx.y * TILE_SIZE + threadIdx.y;
+  const int thread_col = threadIdx.x % (BN/TN);
-  int col = blockIdx.x * TILE_SIZE + threadIdx.x;
+  __shared__ float shared_a[BM*BK];
-  
+  __shared__ float shared_b[BK*BN];
-  // Accumulator for the result
+  a+=block_row*BM*K;
-  float value = 0.0f;
+  b+=block_col*BN;
-  
+  c+=block_row*BM*N+block_col*BN;
-  // Loop over all the tiles
+  const int load_a_col = threadIdx.x % BK;
-  for (int t = 0; t < (K + TILE_SIZE - 1) / TILE_SIZE; ++t) {
+  const int load_a_row = threadIdx.x / BK;
-    // Load the tile elements into shared memory
+  const int load_a_row_stride = threads_per_block / BK;
-    if (row < M && (t * TILE_SIZE + threadIdx.x) < K) {
+  const int load_b_col = threadIdx.x % BN;
-      As[threadIdx.y][threadIdx.x] = a[row * K + t * TILE_SIZE + threadIdx.x];
+  const int load_b_row = threadIdx.x / BN;
-    } else {
+  const int load_b_row_stride = threads_per_block / BN;
-      As[threadIdx.y][threadIdx.x] = 0.0f;
+  float result_cache[TM*TN]={0.0};
+  float a_cache[TM]={0.0};
+  float b_cache[TN]={0.0};
+  for(int k_idx=0;k_idx<K;k_idx+=BK) {
+    for(int load_a_offset=0;load_a_offset<BM;load_a_offset+=load_a_row_stride) {
+      shared_a[(load_a_offset+load_a_row)*BK+load_a_col]=a[(load_a_offset+load_a_row)*K+load_a_col];
     }
-    
+    for(int load_b_offset=0;load_b_offset<BK;load_b_offset+=load_b_row_stride) {
-    if (col < N && (t * TILE_SIZE + threadIdx.y) < K) {
+      shared_b[(load_b_offset+load_b_row)*BN+load_b_col]=b[(load_b_offset+load_b_row)*N+load_b_col];
-      Bs[threadIdx.y][threadIdx.x] = b[(t * TILE_SIZE + threadIdx.y) * N + col];
-    } else {
-      Bs[threadIdx.y][threadIdx.x] = 0.0f;
     }
-    
-    // Synchronize to make sure the submatrices are loaded
     __syncthreads();
-    
+    a+=BK;
-    // Multiply the two matrices together
+    b+=BK*N;
-    for (int k = 0; k < TILE_SIZE; ++k) {
+    for(int dot_idx=0;dot_idx<BK;dot_idx++) {
-      value += As[threadIdx.y][k] * Bs[k][threadIdx.x];
+      for(int i=0;i<TM;i++) {
+        a_cache[i]=shared_a[(thread_row*TM+i)*BK+dot_idx];
+      }
+      for(int i=0;i<TN;i++) {
+        b_cache[i]=shared_b[dot_idx*BN+thread_col*TN+i];
+      }
+      for(int i=0;i<TM;i++) {
+        for(int j=0;j<TN;j++) {
+          result_cache[i*TN+j]+=a_cache[i]*b_cache[j];
+        }
+      }
     }
-    
-    // Synchronize to make sure that the computation is done before loading new tiles
     __syncthreads();
   }
-  
+  for(int i=0;i<TM;i++) {
-  // Write the result back to the global memory
+    for(int j=0;j<TN;j++) {
-  if (row < M && col < N) {
+      c[(thread_row*TM+i)*N+thread_col*TN+j]=result_cache[i*TN+j];
-    c[row * N + col] = value;
+    }
   }
 }
 
 /**
  * @brief Launch ZYMSgemm2D kernel.
+ * @details see https://siboehm.com/articles/22/CUDA-MMM
  */
-void launchSgemm2D(float *a, float *b, float *c, const int M, const int N,
+void launchSgemm2D(const float *a,const float *b, float *c, const int M, const int N,
                    const int K) {
-  dim3 block(TILE_SIZE, TILE_SIZE); // 256 threads per block (16 * 16 = 256)
+  const int BK=8;
-  dim3 grid((M + block.x - 1) / block.x, (N + block.y - 1) / block.y);
+  const int TM=8;
-  ZYMSgemm2D<<<grid, block>>>(a, b, c, M, N, K);
+  const int TN=8;
+  if(M>=128&&N>=128&&K>=128){
+    const int BM=128;
+    const int BN=128;
+    dim3 gridDim((M + BM - 1) / BM, (N + BN - 1) / BN);
+    dim3 blockDim((BM * BN) / (TM * TN));
+    ZYMSgemm2D<BM, BN, BK, TM, TN><<<gridDim, blockDim>>>(a, b, c, M, N, K);
+  }
+  else{
+    const int BM=64;
+    const int BN=64;
+    dim3 gridDim((M + BM - 1) / BM, (N + BN - 1) / BN);
+    dim3 blockDim((BM * BN) / (TM * TN));
+    ZYMSgemm2D<BM, BN, BK, TM, TN><<<gridDim, blockDim>>>(a, b, c, M, N, K);
+  }
 }
 
 void initialize(float *a, float *b, float *c, const int M, const int N,
@@ -145,7 +168,7 @@ int main() {
   cudaDeviceSynchronize();
   end = std::chrono::high_resolution_clock::now();
   cudaMemcpy(c, d_c, MAXN * MAXN * sizeof(float), cudaMemcpyDeviceToHost);
-  printf("d_c[0][0]=%f\n", c[0]);
+  printf("d_c[108873]=%f\n", c[108873]);
   elapsed = end - start;
   printf("GPU time: %.3fs\n", elapsed.count());
 
@@ -155,7 +178,7 @@ int main() {
   cudaDeviceSynchronize();
   end = std::chrono::high_resolution_clock::now();
   cudaMemcpy(c, d_c, MAXN * MAXN * sizeof(float), cudaMemcpyDeviceToHost);
-  printf("d_c[0][0]=%f\n", c[0]);
+  printf("d_c[108873]=%f\n", c[108873]);
   elapsed = end - start;
   printf("cuBLAS time: %.3fs\n", elapsed.count());
 }