/* Kernels for matmul forward pass. It's advised to use OpenMP here because the CPU implementation is fairly slow otherwise Compile example: nvcc -O3 --use_fast_math -Xcompiler -fopenmp matmul_forward.cu -o matmul_forward -lcublas -lcublasLt version 1 is naive port from CPU code to kernel: parallelizes over B,T, loops over C OMP_NUM_THREADS=32 ./matmul_forward 1 version 2 calls cuBLAS, very fast OMP_NUM_THREADS=32 ./matmul_forward 2 version 3 calls cuBLASLt, should be even faster OMP_NUM_THREADS=32 ./matmul_forward 3 */ #include #include #include #include #include #include // ---------------------------------------------------------------------------- // CUDA utils #define CEIL_DIV(M, N) (((M) + (N)-1) / (N)) // CUDA error checking void cudaCheck(cudaError_t error, const char *file, int line) { if (error != cudaSuccess) { printf("[CUDA ERROR] at file %s:%d:\n%s\n", file, line, cudaGetErrorString(error)); exit(EXIT_FAILURE); } }; #define cudaCheck(err) (cudaCheck(err, __FILE__, __LINE__)) // cuBLAS error checking void cublasCheck(cublasStatus_t status, const char *file, int line) { if (status != CUBLAS_STATUS_SUCCESS) { printf("[cuBLAS ERROR]: %d %s %d\n", status, file, line); exit(EXIT_FAILURE); } } #define cublasCheck(status) { cublasCheck((status), __FILE__, __LINE__); } // cuBLAS workspace. Hardcoding to 32MiB but only Hopper needs 32, for others 4 is OK static size_t cublaslt_workspace_size = 32 * 1024 * 1024; static void* cublaslt_workspace = NULL; static cublasComputeType_t cublas_compute_type; cublasHandle_t cublas_handle; cublasLtHandle_t cublaslt_handle; // ---------------------------------------------------------------------------- // CPU code reference void matmul_forward_cpu(float* out, float* inp, float* weight, float* bias, int B, int T, int C, int OC) { // OC is short for "output channels" // inp is (B,T,C), weight is (OC, C), bias is (OC) // out will be (B,T,OC) #pragma omp parallel for collapse(2) for (int b = 0; b < B; b++) { for (int t = 0; t < T; t++) { float* out_bt = out + b * T * OC + t * OC; float* inp_bt = inp + b * T * C + t * C; for (int o = 0; o < OC; o++) { float val = (bias != NULL) ? bias[o] : 0.0f; float* wrow = weight + o*C; for (int i = 0; i < C; i++) { val += inp_bt[i] * wrow[i]; } out_bt[o] = val; } } } } // ---------------------------------------------------------------------------- // GPU kernels // kernel 1: naive kernel, every thread handles one output element, direct global memory access __global__ void matmul_forward_kernel1(float* out, float* inp, float* weight, float* bias, int BT, int C, int OC) { // out is (B,T,OC). OC is short for "output channels", e.g. OC = 4 * C // inp is (B,T,C), weight is (OC, C), bias is (OC) // in the naive kernel, every thread handles one element of out int bt = blockIdx.x * blockDim.x + threadIdx.x; int oc = blockIdx.y * blockDim.y + threadIdx.y; if (bt < BT && oc < OC) { int b = bt / BT; int t = bt % BT; float val = (bias != NULL) ? bias[oc] : 0.0f; float* wrow = weight + oc*C; float* inp_bt = inp + b * BT * C + t * C; for (int i = 0; i < C; i++) { val += inp_bt[i] * wrow[i]; } out[bt * OC + oc] = val; } } // is there no better way other than just adding bias with a whole separate kernel? // this is a highly memory-bound operation, should be fused into the matmul kernel // but i can't seem to find a cuBLAS function that does this __global__ void add_bias(float* out, float* bias, int B, int T, int OC) { int idx = blockIdx.x * blockDim.x + threadIdx.x; int stride = blockDim.x * gridDim.x; for (int i = idx; i < B * T * OC; i += stride) { int col = i % OC; out[i] += bias[col]; } } // ---------------------------------------------------------------------------- // kernel launcher // kernel 1 is the most naive matmul kernel void matmul_forward1(float* out, float* inp, float* weight, float* bias, int B, int T, int C, int OC, const int sqrt_block_size) { // out is (B,T,OC). OC is short for "output channels", e.g. OC = 4 * C // inp is (B,T,C), weight is (OC, C), bias is (OC) dim3 gridDim(CEIL_DIV(B * T, sqrt_block_size), CEIL_DIV(OC, sqrt_block_size)); dim3 blockDim(sqrt_block_size, sqrt_block_size); matmul_forward_kernel1<<>>(out, inp, weight, bias, B*T, C, OC); cudaCheck(cudaGetLastError()); } // kernel 2 calls cuBLAS, which should be very efficient void matmul_forward2(float* out, float* inp, float* weight, float* bias, int B, int T, int C, int OC, const int sqrt_block_size) { // for reference API is: // cublasStatus_t cublasSgemm(cublasHandle_t handle, // cublasOperation_t transa, cublasOperation_t transb, // int m, int n, int k, // const float *alpha, // const float *A, int lda, // const float *B, int ldb, // const float *beta, // float *C, int ldc) // for us, inp is (B*T, C), weight is (OC, C), out is (B*T, OC) // cuBLAS does C = alpha * A * B + beta * C // where A is mxk, B is kxn, C is mxn // now, because we use row-major storage, cuBLAS (which is column-major) sees our matrices transposed. // algorithmically / in e.g. PyTorch we want to do: out = inp @ weight.T // but because cuBLAS is column-major, we actually want to get it to calculate out.T . Mathematically, this is: // out.T = weight @ inp.T // but again, our variables look transposed, so using the actual weight/inp we have here in this function, this becomes // out.T = weight.T @ inp // so we need to get cuBLAS to calculate weight.T @ inp (the variables here are the actual ones in this function) // => need to call cuBLAS with A = weight, B = inp // => need to call cuBLAS with transa = CUBLAS_OP_T, transb = CUBLAS_OP_N const float alpha = 1.0f; const float beta = 0.0f; cublasCheck(cublasSgemm(cublas_handle, CUBLAS_OP_T, CUBLAS_OP_N, OC, B*T, C, &alpha, weight, C, inp, C, &beta, out, OC)); // and now we still have to add the bias... (ew) if (bias != NULL) { int block_size = sqrt_block_size * sqrt_block_size; int grid_size = CEIL_DIV(OC * B * T, block_size); add_bias<<>>(out, bias, B, T, OC); cudaCheck(cudaGetLastError()); } } // uses cublasLt to fuse the bias and gelu // https://docs.nvidia.com/cuda/cublas/#cublasltmatmul // https://github.com/NVIDIA/CUDALibrarySamples/blob/master/cuBLASLt/LtSgemm/sample_cublasLt_LtSgemm.cu void matmul_forward3(float* out, float* inp, float* weight, float* bias, int B, int T, int C, int OC) { int has_bias = (bias != NULL); int has_gelu = 0; // check bias alignment if(((uintptr_t)bias % 16) != 0) { printf("Bias pointer is not aligned (cuBLASLt requirement)!\n"); exit(EXIT_FAILURE); } int returnedResults = 0; cublasLtMatmulDesc_t operationDesc; cublasLtMatmulPreference_t preference; cublasLtMatrixLayout_t weightLayout; cublasLtMatrixLayout_t inputLayout; cublasLtMatrixLayout_t outputLayout; cublasLtMatrixLayout_t biasLayout; cublasLtMatmulHeuristicResult_t heuristic; // create the operation descriptor cublasOperation_t opNoTranspose = CUBLAS_OP_N; cublasOperation_t opTranspose = CUBLAS_OP_T; cublasLtEpilogue_t epilogueBias = CUBLASLT_EPILOGUE_DEFAULT; if (has_bias && has_gelu) { epilogueBias = CUBLASLT_EPILOGUE_GELU_BIAS; } else if (has_bias) { epilogueBias = CUBLASLT_EPILOGUE_BIAS; } else if (has_gelu) { epilogueBias = CUBLASLT_EPILOGUE_GELU; } cublasCheck(cublasLtMatmulDescCreate(&operationDesc, cublas_compute_type, CUDA_R_32F)); cublasCheck(cublasLtMatmulDescSetAttribute(operationDesc, CUBLASLT_MATMUL_DESC_TRANSA, &opTranspose, sizeof(opTranspose))); cublasCheck(cublasLtMatmulDescSetAttribute(operationDesc, CUBLASLT_MATMUL_DESC_TRANSB, &opNoTranspose, sizeof(opNoTranspose))); cublasCheck(cublasLtMatmulDescSetAttribute(operationDesc, CUBLASLT_MATMUL_DESC_EPILOGUE, &epilogueBias, sizeof(epilogueBias))); cublasCheck(cublasLtMatmulDescSetAttribute(operationDesc, CUBLASLT_MATMUL_DESC_BIAS_POINTER, &bias, sizeof(bias))); // define matrix layouts cublasCheck(cublasLtMatrixLayoutCreate(&weightLayout, CUDA_R_32F, C, OC, C)); cublasCheck(cublasLtMatrixLayoutCreate(&inputLayout, CUDA_R_32F, C, B*T, C)); cublasCheck(cublasLtMatrixLayoutCreate(&outputLayout, CUDA_R_32F, OC, B*T, OC)); cublasCheck(cublasLtMatrixLayoutCreate(&biasLayout, CUDA_R_32F, OC, 1, OC)); // create a preference handle with specified max workspace cublasCheck(cublasLtMatmulPreferenceCreate(&preference)); cublasCheck(cublasLtMatmulPreferenceSetAttribute(preference, CUBLASLT_MATMUL_PREF_MAX_WORKSPACE_BYTES, &cublaslt_workspace_size, sizeof(cublaslt_workspace_size))); // find a suitable algorithm cublasCheck(cublasLtMatmulAlgoGetHeuristic(cublaslt_handle, operationDesc, weightLayout, inputLayout, outputLayout, outputLayout, preference, 1, &heuristic, &returnedResults)); if (returnedResults == 0) { printf("No cuBLASLt algorithm: B: %d, T: %d, C: %d, OC: %d, bias: %d, gelu: %d\n", B, T, C, OC, has_bias, has_gelu); exit(EXIT_FAILURE); } // call the matmul const float alpha = 1.0f, beta = 0.0f; cublasCheck(cublasLtMatmul(cublaslt_handle, operationDesc, &alpha, weight, weightLayout, inp, inputLayout, &beta, out, outputLayout, out, outputLayout, &heuristic.algo, cublaslt_workspace, cublaslt_workspace_size, 0)); // cleanups cublasCheck(cublasLtMatmulPreferenceDestroy(preference)); cublasCheck(cublasLtMatmulDescDestroy(operationDesc)); cublasCheck(cublasLtMatrixLayoutDestroy(weightLayout)); cublasCheck(cublasLtMatrixLayoutDestroy(inputLayout)); cublasCheck(cublasLtMatrixLayoutDestroy(outputLayout)); cublasCheck(cublasLtMatrixLayoutDestroy(biasLayout)); } // kernel version dispatch void matmul_forward(int kernel_num, float* out, float* inp, float* weight, float* bias, int B, int T, int C, int OC, const int sqrt_block_size) { switch (kernel_num) { case 1: matmul_forward1(out, inp, weight, bias, B, T, C, OC, sqrt_block_size); break; case 2: matmul_forward2(out, inp, weight, bias, B, T, C, OC, sqrt_block_size); break; case 3: matmul_forward3(out, inp, weight, bias, B, T, C, OC); break; default: printf("Invalid kernel number\n"); exit(1); } } // ---------------------------------------------------------------------------- // random utils float* make_random_float(int N) { float* arr = (float*)malloc(N * sizeof(float)); for (int i = 0; i < N; i++) { arr[i] = ((float)rand() / RAND_MAX) * 2.0 - 1.0; } return arr; } // ---------------------------------------------------------------------------- int main(int argc, char **argv) { srand(0); int B = 8; int T = 1024; int C = 768; int OC = 768 * 4; // expansion of 4, e.g. in the MLP // set up the device int deviceIdx = 0; cudaCheck(cudaSetDevice(deviceIdx)); cudaDeviceProp deviceProp; cudaGetDeviceProperties(&deviceProp, deviceIdx); printf("Device %d: %s\n", deviceIdx, deviceProp.name); // setup cuBLAS and cuBLASLt cublasCheck(cublasCreate(&cublas_handle)); cublasCheck(cublasLtCreate(&cublaslt_handle)); // TF32 precision is equivalent to torch.set_float32_matmul_precision('high') int enable_tf32 = deviceProp.major >= 8 ? 1 : 0; printf("enable_tf32: %d\n", enable_tf32); cublas_compute_type = enable_tf32 ? CUBLAS_COMPUTE_32F_FAST_TF32 : CUBLAS_COMPUTE_32F; cublasMath_t cublas_math_mode = enable_tf32 ? CUBLAS_TF32_TENSOR_OP_MATH : CUBLAS_DEFAULT_MATH; cublasCheck(cublasSetMathMode(cublas_handle, cublas_math_mode)); // setup the (global) cuBLASLt workspace cudaCheck(cudaMalloc(&cublaslt_workspace, cublaslt_workspace_size)); // create host memory of random numbers float* out = (float*)malloc(B * T * OC * sizeof(float)); float* inp = make_random_float(B * T * C); float* weight = make_random_float(OC * C); float* bias = make_random_float(OC); // move to GPU float* d_out; float* d_inp; float* d_weight; float* d_bias; cudaCheck(cudaMalloc(&d_out, B * T * OC * sizeof(float))); cudaCheck(cudaMalloc(&d_inp, B * T * C * sizeof(float))); cudaCheck(cudaMalloc(&d_weight, C * OC * sizeof(float))); cudaCheck(cudaMalloc(&d_bias, OC * sizeof(float))); cudaCheck(cudaMemcpy(d_inp, inp, B * T * C * sizeof(float), cudaMemcpyHostToDevice)); cudaCheck(cudaMemcpy(d_weight, weight, C * OC * sizeof(float), cudaMemcpyHostToDevice)); cudaCheck(cudaMemcpy(d_bias, bias, OC * sizeof(float), cudaMemcpyHostToDevice)); // read kernel_num from command line int kernel_num = 1; if (argc > 1) { kernel_num = atoi(argv[1]); } printf("Using kernel %d\n", kernel_num); // first check the correctness of the kernel matmul_forward_cpu(out, inp, weight, bias, B, T, C, OC); matmul_forward(kernel_num, d_out, d_inp, d_weight, d_bias, B, T, C, OC, 32); float* out_gpu = (float*)malloc(B * T * OC * sizeof(float)); cudaCheck(cudaMemcpy(out_gpu, d_out, B * T * OC * sizeof(float), cudaMemcpyDeviceToHost)); for (int i = 0; i < B * T * OC; i++) { // print the first few comparisons if (i < 5) { printf("%f %f\n", out[i], out_gpu[i]); } // ensure correctness for all elements if (fabs(out[i] - out_gpu[i]) > 1e-1) { printf("Mismatch at %d: %f vs %f\n", i, out[i], out_gpu[i]); exit(1); } } printf("Results match at block_size=1024!\n"); // time the kernel at different block sizes int sqrt_block_sizes[] = {4, 8, 16, 32}; for (int j = 0; j < sizeof(sqrt_block_sizes) / sizeof(int); j++) { int sqrt_block_size = sqrt_block_sizes[j]; int repeat_times = 100; cudaEvent_t start, stop; cudaCheck(cudaEventCreate(&start)); cudaCheck(cudaEventCreate(&stop)); cudaCheck(cudaEventRecord(start, 0)); for (int i = 0; i < repeat_times; i++) { matmul_forward(kernel_num, d_out, d_inp, d_weight, d_bias, B, T, C, OC, sqrt_block_size); } cudaCheck(cudaEventRecord(stop, 0)); cudaCheck(cudaEventSynchronize(start)); cudaCheck(cudaEventSynchronize(stop)); float elapsed_time; cudaCheck(cudaEventElapsedTime(&elapsed_time, start, stop)); // napkin math: estimate the flops achieved // e.g. A100 40GB PCIe is advertised at 19.5 TFLOPS fp32 float tflops = (float)B * T * C * OC * 2 * repeat_times / elapsed_time * 1e3f / 1e12f; printf("sqrt_block_size %4d | time %f ms | tflops %f\n", sqrt_block_size, elapsed_time, tflops); } // free memory free(out); free(inp); free(weight); free(bias); free(out_gpu); cudaCheck(cudaFree(d_out)); cudaCheck(cudaFree(d_inp)); cudaCheck(cudaFree(d_weight)); cudaCheck(cudaFree(d_bias)); cudaCheck(cudaFree(cublaslt_workspace)); cublasCheck(cublasDestroy(cublas_handle)); cublasCheck(cublasLtDestroy(cublaslt_handle)); return 0; }