/* Matrix Multiplication, with help from cuBLASLt */ #include #include // std::bool_constant // llmc internal imports #include "cuda_common.h" #include "cuda_utils.cuh" #include "cublas_common.h" // GELU can be either fused (cublasLt) or non-fused (gelu.h) #include "gelu.cuh" // ---------------------------------------------------------------------------- // CUDA kernels template __global__ void matmul_backward_bias_kernel9(OutFloat* dbias, const floatX* dout, int B, int T, int OC, std::bool_constant) { constexpr const int bdx = 4; constexpr const int bdy = WARP_SIZE / bdx; assert(blockDim.x == bdx); assert(blockDim.y == bdy); int warp_d = (int)threadIdx.x; int warp_c = (int)threadIdx.y; int block_d = (int)threadIdx.z; const int OC_per_warp = bdy * x128::size; // 64 at BF16 int local_oc = warp_c * x128::size; int global_oc = blockIdx.x * OC_per_warp + local_oc; int local_bt = warp_d + bdx * block_d; int bt_per_block = bdx * blockDim.z; float accumulators[x128::size]; for (int k = 0; k < x128::size; k++) { accumulators[k] = 0.0f; } if(global_oc < OC) { // sum up over all bt within registers for (int idx = blockIdx.y * bt_per_block + local_bt; idx < B * T; idx += gridDim.y * bt_per_block) { x128 packed_dout = load128(dout + global_oc + idx*OC); for (int k = 0; k < x128::size; k++) { accumulators[k] += (float)packed_dout[k]; } } } __shared__ float sub_results[x128::size][WARP_SIZE][bdy]; // reduce within-warp results for (int k = 0; k < x128::size; k++) { float v = accumulators[k]; v += __shfl_down_sync(0xffffffff, v, 1, 4); v += __shfl_down_sync(0xffffffff, v, 2, 4); if(warp_d == 0) { sub_results[k][block_d][warp_c] = v; } } __syncthreads(); // block-wide reductions for (int k = block_d; k < x128::size; k += blockDim.z) { float a = 0.f; for (int r = warp_d; r < blockDim.z; r += bdx) { float v = sub_results[k][r][warp_c]; v += __shfl_down_sync(0xffffffff, v, 1, 4); v += __shfl_down_sync(0xffffffff, v, 2, 4); a += v; } if(warp_d == 0 && global_oc < OC) { if constexpr (!UseAuxBuffer) { dbias[global_oc + k] = (OutFloat)(a + (float)dbias[global_oc + k]); } else { dbias[global_oc + k + blockIdx.y * OC] = a; } } } } __global__ void reduce_add_sum_kernel(floatX* dst, const float* src, size_t n, size_t m) { const size_t idx = (blockIdx.x * blockDim.x + threadIdx.x) * f128::size; assert(n % x128::size == 0); if (idx < n) { f128 acc; for(int k = 0; k < f128::size; ++k) { acc[k] = 0.f; } for(int l = 0; l < m; ++l) { f128 s = load128(src + idx + n * l); for(int k = 0; k < f128::size; ++k) { acc[k] += s[k]; } } for(int k = 0; k < f128::size; ++k) { dst[idx + k] = (floatX) ((float)dst[idx + k] + acc[k]); } } } // ---------------------------------------------------------------------------- // kernel launchers // Wrapper around cublasLtMatmul that is meant to support everything we need in llm.c // https://docs.nvidia.com/cuda/cublas/#cublasltmatmul void matmul_cublaslt(floatX* d, const floatX* a, const floatX* b, const floatX* bias, int m, int n, int k, cudaStream_t stream=0, bool transA=true, bool transB=false, int batch_count=0, size_t strideA=0, size_t strideB=0, size_t strideOut=0, bool accumulate=false, floatX* pre_gelu=NULL, bool backward=false) { NVTX_RANGE_FN(); bool has_bias = (bias != NULL); bool has_gelu = (pre_gelu != NULL); // check alignment (some modes work unaligned but it always best to be aligned for performance) if(((uintptr_t)a % 16) != 0 || ((uintptr_t)b % 16) != 0 || ((uintptr_t)d % 16) != 0 || ((uintptr_t)bias % 16) != 0) { printf("All cuBLASLt pointers must be aligned!\n"); exit(EXIT_FAILURE); } // create the operation descriptor cublasLtMatmulDesc_t operationDesc; cublasCheck(cublasLtMatmulDescCreate(&operationDesc, cublas_compute, CUDA_R_32F)); int returnedResults = 0; cublasLtMatmulPreference_t preference; cublasLtMatmulHeuristicResult_t heuristic; cublasOperation_t opNoTranspose = CUBLAS_OP_N; cublasOperation_t opTranspose = CUBLAS_OP_T; cublasCheck(cublasLtMatmulDescSetAttribute(operationDesc, CUBLASLT_MATMUL_DESC_TRANSA, (transA) ? &opTranspose : &opNoTranspose, sizeof(opTranspose))); cublasCheck(cublasLtMatmulDescSetAttribute(operationDesc, CUBLASLT_MATMUL_DESC_TRANSB, (transB) ? &opTranspose : &opNoTranspose, sizeof(opNoTranspose))); // define matrix layouts cublasLtMatrixLayout_t ALayout; cublasLtMatrixLayout_t BLayout; cublasLtMatrixLayout_t DLayout; cublasLtMatrixLayout_t CLayout; if (transA) { cublasCheck(cublasLtMatrixLayoutCreate(&ALayout, CUBLAS_LOWP, k, m, k)); } else { cublasCheck(cublasLtMatrixLayoutCreate(&ALayout, CUBLAS_LOWP, m, k, m)); } if (transB) { cublasCheck(cublasLtMatrixLayoutCreate(&BLayout, CUBLAS_LOWP, n, k, n)); } else { cublasCheck(cublasLtMatrixLayoutCreate(&BLayout, CUBLAS_LOWP, k, n, k)); } // cuBLASLt requires C in FP8 mode to be BF16 or FP32... (sigh) cublasCheck(cublasLtMatrixLayoutCreate(&CLayout, (sizeof(floatX) == 1) ? CUDA_R_16BF : CUBLAS_LOWP, m, n, m)); cublasCheck(cublasLtMatrixLayoutCreate(&DLayout, CUBLAS_LOWP, m, n, m)); // Strided Batched GEMM (used for non-flash attention, equivalent to cublasGemmStridedBatchedEx) if (batch_count) { cublasCheck(cublasLtMatrixLayoutSetAttribute(ALayout, CUBLASLT_MATRIX_LAYOUT_BATCH_COUNT, &batch_count, sizeof(batch_count))); cublasCheck(cublasLtMatrixLayoutSetAttribute(BLayout, CUBLASLT_MATRIX_LAYOUT_BATCH_COUNT, &batch_count, sizeof(batch_count))); cublasCheck(cublasLtMatrixLayoutSetAttribute(CLayout, CUBLASLT_MATRIX_LAYOUT_BATCH_COUNT, &batch_count, sizeof(batch_count))); cublasCheck(cublasLtMatrixLayoutSetAttribute(DLayout, CUBLASLT_MATRIX_LAYOUT_BATCH_COUNT, &batch_count, sizeof(batch_count))); cublasCheck(cublasLtMatrixLayoutSetAttribute(ALayout, CUBLASLT_MATRIX_LAYOUT_STRIDED_BATCH_OFFSET, &strideA, sizeof(strideA))); cublasCheck(cublasLtMatrixLayoutSetAttribute(BLayout, CUBLASLT_MATRIX_LAYOUT_STRIDED_BATCH_OFFSET, &strideB, sizeof(strideB))); cublasCheck(cublasLtMatrixLayoutSetAttribute(CLayout, CUBLASLT_MATRIX_LAYOUT_STRIDED_BATCH_OFFSET, &strideOut, sizeof(strideOut))); cublasCheck(cublasLtMatrixLayoutSetAttribute(DLayout, CUBLASLT_MATRIX_LAYOUT_STRIDED_BATCH_OFFSET, &strideOut, sizeof(strideOut))); } // 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))); // setup epilogue and associated pointers for bias & gelu cublasLtEpilogue_t epilogue; if (has_gelu) { int64_t gelu_ld = m; // todo - is this affected by anything else? cublasCheck(cublasLtMatmulDescSetAttribute(operationDesc, CUBLASLT_MATMUL_DESC_EPILOGUE_AUX_LD, &gelu_ld, sizeof(gelu_ld))); cublasCheck(cublasLtMatmulDescSetAttribute(operationDesc, CUBLASLT_MATMUL_DESC_EPILOGUE_AUX_POINTER, &pre_gelu, sizeof(pre_gelu))); if (backward) { assert(!has_bias); // we shouldn't have any backward matmuls that use both GELU and bias epilogue = CUBLASLT_EPILOGUE_DGELU; } else { epilogue = has_bias ? CUBLASLT_EPILOGUE_GELU_AUX_BIAS : CUBLASLT_EPILOGUE_GELU_AUX; } } else if(has_bias){ epilogue = backward ? CUBLASLT_EPILOGUE_BGRADB : CUBLASLT_EPILOGUE_BIAS; } else { epilogue = CUBLASLT_EPILOGUE_DEFAULT; } cublasCheck(cublasLtMatmulDescSetAttribute(operationDesc, CUBLASLT_MATMUL_DESC_EPILOGUE, &epilogue, sizeof(epilogue))); if (has_bias) { // cuBLASLt requires bias in FP8 mode to be BF16... (sigh) cublasDataType_t bias_data_type = (sizeof(floatX) == 1) ? CUDA_R_16BF : CUBLAS_LOWP; // force BF16 bias for FP8 mode cublasCheck(cublasLtMatmulDescSetAttribute(operationDesc, CUBLASLT_MATMUL_DESC_BIAS_DATA_TYPE, &bias_data_type, sizeof(bias_data_type))); cublasCheck(cublasLtMatmulDescSetAttribute(operationDesc, CUBLASLT_MATMUL_DESC_BIAS_POINTER, &bias, sizeof(bias))); } // set scale type to FP32 (needs to be FP16 if and only if using CUBLAS_COMPUTE_16F, so it's FP32 even for FP8!) cublasDataType_t scale_type = CUDA_R_32F; cublasCheck(cublasLtMatmulDescSetAttribute(operationDesc, CUBLASLT_MATMUL_DESC_SCALE_TYPE, &scale_type, sizeof(scale_type))); // find a suitable algorithm (cached internally so shouldn't take much CPU time in practice) cublasLtMatmulAlgoGetHeuristic(cublaslt_handle, operationDesc, ALayout, BLayout, CLayout, DLayout, preference, 1, &heuristic, &returnedResults); if (returnedResults == 0) { printf("No cuBLASLt algorithm: m: %d, n: %d, k: %d, bias: %d\n", n, m, k, has_bias); exit(EXIT_FAILURE); } // set whether to accumulate (i.e. D += C) or not - note this isn't considered in algorithm selection (?!) const float alpha = 1.0f, beta = accumulate ? 1.0f : 0.0f; // call the matmul cublasCheck(cublasLtMatmul(cublaslt_handle, operationDesc, &alpha, a, ALayout, b, BLayout, &beta, d, CLayout, d, DLayout, &heuristic.algo, cublaslt_workspace, cublaslt_workspace_size, stream)); // cleanups cublasCheck(cublasLtMatmulPreferenceDestroy(preference)); cublasCheck(cublasLtMatmulDescDestroy(operationDesc)); cublasCheck(cublasLtMatrixLayoutDestroy(ALayout)); cublasCheck(cublasLtMatrixLayoutDestroy(BLayout)); cublasCheck(cublasLtMatrixLayoutDestroy(CLayout)); cublasCheck(cublasLtMatrixLayoutDestroy(DLayout)); cudaCheck(cudaGetLastError()); } // small wrapper around matmul_cublaslt for the forward pass (keeping historical order of arguments) void matmul_forward_cublaslt(floatX* out, floatX* inp, floatX* weight, floatX* bias, int B, int T, int C, int OC, cudaStream_t stream, floatX* pre_gelu=NULL, int gelu_fusion=1) { // By default only fuse GELU for H100+ as cuBLAS seems to be inefficient for fused GELU on Ada/Ampere (?) if (gelu_fusion < 1 && pre_gelu) { matmul_cublaslt(pre_gelu, weight, inp, bias, OC, B*T, C, stream, true, false, 0, 0, 0, 0, false, NULL, false); gelu_forward(out, pre_gelu, B*T*OC, stream); } else { matmul_cublaslt(out, weight, inp, bias, OC, B*T, C, stream, true, false, 0, 0, 0, 0, false, pre_gelu, false); } } void matmul_backward(floatX* dinp, floatX* dweight, floatX* dbias, floatX* dout, floatX* inp, floatX* weight, float* dbias_buffer, int B, int T, int C, int OC, cudaStream_t stream, floatX* pre_gelu=NULL, int gelu_fusion=1) { NVTX_RANGE_FN(); // backward to bias, if given, does a += if (dbias != NULL) { // Each warp is responsible for 8 * "x128::size" = 64 OCs at BF16 (OC must be a multiple of 64!) // Block size is 1024 | 768 threads (32|24 warps) and we reduce those values into 1 at the end const int block_size = deviceProp.maxThreadsPerMultiProcessor == 1536 ? 768 : 1024; dim3 block_dim = {4, 8, (unsigned)block_size/WARP_SIZE}; const int OC_per_warp = block_dim.y * x128::size; // 64 at BF16 const int grid_size_x = CEIL_DIV(OC, OC_per_warp); // e.g. 12 horizontal blocks for 768 OCs at BF16 const int grid_size_y = max(1, deviceProp.maxThreadsPerMultiProcessor * deviceProp.multiProcessorCount / (block_size * grid_size_x)); // full GPU! // If we have enough OC that we don't need cross-block reductions, we can skip the bias_buffer accumulation // and write results directly to the output. if(grid_size_y == 1) { matmul_backward_bias_kernel9<<>>(dbias, dout, B, T, OC, False); cudaCheck(cudaGetLastError()); } else { // kernel 9 overwrites temp buffer, so no need to memset matmul_backward_bias_kernel9<<>>(dbias_buffer, dout, B, T, OC, True); cudaCheck(cudaGetLastError()); reduce_add_sum_kernel<<>>(dbias, dbias_buffer, OC, grid_size_y); cudaCheck(cudaGetLastError()); } dbias = NULL; // prevent dbias calculation from also being fused in matmul_cublaslt below (if we enabled fusion) } // backward to input, uses = in the backward pass (set the gradient) matmul_cublaslt(dinp, weight, dout, NULL, C, B*T, OC, stream, false, false, 0, 0, 0, 0, false, gelu_fusion >= 2 ? pre_gelu : NULL, true); // backward GELU (if it wasn't fused into the matmul above) if (gelu_fusion < 2 && pre_gelu) { gelu_backward_inplace(dinp, pre_gelu, B*T*C, stream); } // backward to weight, uses += in the backward pass (accumulate the gradient) by setting alpha=one matmul_cublaslt(dweight, inp, dout, NULL /*dbias*/, C, OC, B*T, stream, false, true, 0, 0, 0, 0, true /* accumulate */, NULL, true); }