/* GPT-2 Transformer Neural Net trained in raw CUDA */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include // ---------------------------------------------------------------------------- // CUDA utils // convenience macro for calculating grid/block dimensions for kernels #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; // ---------------------------------------------------------------------------- // all the kernels // warp-level reduction for finding the maximum value __device__ float warpReduceMax(float val) { for (int offset = 16; offset > 0; offset /= 2) { val = fmaxf(val, __shfl_down_sync(0xFFFFFFFF, val, offset)); } return val; } // warp-level reduction for summing values __device__ float warpReduceSum(float val) { for (int offset = 16; offset > 0; offset /= 2) { val += __shfl_down_sync(0xFFFFFFFF, val, offset); } return val; } __global__ void encoder_forward_kernel2(float* out, int* inp, float* wte, float* wpe, int B, int T, int C) { int idx = blockIdx.x * blockDim.x + threadIdx.x; int N = B * T * C; if (idx < N) { int bt = idx / C; int b = bt / T; int t = bt % T; int c = idx % C; int ix = inp[b * T + t]; float* out_btc = out + b * T * C + t * C + c; float* wte_ix = wte + ix * C + c; float* wpe_tc = wpe + t * C + c; *out_btc = *wte_ix + *wpe_tc; } } __global__ void layernorm_forward_kernel3(float* __restrict__ out, float* __restrict__ mean, float* __restrict__ rstd, const float* __restrict__ inp, const float* __restrict__ weight, const float* __restrict__ bias, int N, int C) { namespace cg = cooperative_groups; cg::thread_block block = cg::this_thread_block(); cg::thread_block_tile<32> warp = cg::tiled_partition<32>(block); int idx = blockIdx.x * warp.meta_group_size() + warp.meta_group_rank(); if(idx >= N) { return; } // the row of input that this group of threads is responsible for const float* x = inp + idx * C; // mean float sum = 0.0f; for (int i = warp.thread_rank(); i < C; i += warp.size()) { sum += x[i]; } sum = cg::reduce(warp, sum, cg::plus{}); float m = sum / C; if(warp.thread_rank() == 0 && mean != nullptr) { __stcs(mean + idx, m); } // rstd sum = 0.0f; for (int i = warp.thread_rank(); i < C; i += warp.size()) { float diff = x[i] - m; sum += diff * diff; } sum = cg::reduce(warp, sum, cg::plus{}); float s = rsqrtf(sum / C + 1e-5f); if(warp.thread_rank() == 0 && rstd != nullptr) { __stcs(rstd + idx, s); } // final normalization and scaling by weight/bias float* o = out + idx * C; for (int c = warp.thread_rank(); c < C; c += warp.size()) { // load and store using the .cs "streaming" hint to the compiler, // indicating that this data will not be reused soon, and can be streamed through the caches // this allows the threads to get more cache-hits for the (shared) weight and bias parameters float n = s * (__ldcs(x+c) - m); __stcs(o+c, n * weight[c] + bias[c]); } } __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]; } } __global__ void permute_kernel(float* q, float* k, float* v, const float* inp, int B, int N, int NH, int d) { // okay so now, this kernel wants Q,K,V to all be of shape (B, NH, N, d) // but instead, we have a single tensor QKV (inp) of shape (B, N, 3, NH, d) int idx = blockIdx.x * blockDim.x + threadIdx.x; // Q[b][nh_][n][d_] = inp[b][n][0][nh_][d_] if (idx < B * NH * N * d) { int b = idx / (NH * N * d); int rest = idx % (NH * N * d); int nh_ = rest / (N * d); rest = rest % (N * d); int n = rest / d; int d_ = rest % d; int inp_idx = \ (b * N * 3 * NH * d) + (n * 3 * NH * d) + (0 * NH * d) + (nh_ * d) + d_; q[idx] = __ldcs(&inp[inp_idx]); k[idx] = __ldcs(&inp[inp_idx + NH * d]); v[idx] = __ldcs(&inp[inp_idx + 2 * (NH * d)]); } } __global__ void unpermute_kernel(float* inp, float *out, int B, int N, int NH, int d) { // out has shape (B, nh, N, d) but we need to unpermute it to (B, N, nh, d) int idx = blockIdx.x * blockDim.x + threadIdx.x; // out[b][n][nh_][d_] <- inp[b][nh_][n][d_] if (idx < B * NH * N * d) { int b = idx / (NH * N * d); int rest = idx % (NH * N * d); int nh_ = rest / (N * d); rest = rest % (N * d); int n = rest / d; int d_ = rest % d; int other_idx = (b * NH * N * d) + (n * NH * d) + (nh_ * d) + d_; out[other_idx] = __ldcs(&inp[idx]); } } __device__ float& vec_at(float4& vec, int index) { return reinterpret_cast(&vec)[index]; } __device__ float vec_at(const float4& vec, int index) { return reinterpret_cast(&vec)[index]; } __global__ void softmax_forward_kernel5(float* out, float inv_temperature, const float* inp, int N, int T) { // inp, out shape: (N, T, T), where N = B * NH // fuses the multiplication by scale inside attention // directly autoregressive, so we only compute the lower triangular part // uses the online softmax algorithm assert(T % 4 == 0); namespace cg = cooperative_groups; cg::thread_block block = cg::this_thread_block(); cg::thread_block_tile<32> warp = cg::tiled_partition<32>(block); int idx = blockIdx.x * warp.meta_group_size() + warp.meta_group_rank(); if(idx >= N * T) { return; } int own_pos = idx % T; int pos_by_4 = own_pos / 4; // one row of inp, i.e. inp[idx, :] of shape (T,) const float* x = inp + idx * T; // not INF, so we don't get NaNs accidentally when subtracting two values. float maxval = -FLT_MAX; float sumval = 0.0f; const float4* x_vec = reinterpret_cast(x); for (int i = warp.thread_rank(); i < pos_by_4; i += warp.size()) { float4 v = x_vec[i]; float old_maxval = maxval; for(int k = 0; k < 4; ++k) { maxval = fmaxf(maxval, vec_at(v, k)); } sumval *= expf(inv_temperature * (old_maxval - maxval)); for(int k = 0; k < 4; ++k) { sumval += expf(inv_temperature * (vec_at(v, k) - maxval)); } } if(4*pos_by_4 + warp.thread_rank() <= own_pos) { float old_maxval = maxval; maxval = fmaxf(maxval, x[4*pos_by_4 + warp.thread_rank()]); sumval *= expf(inv_temperature * (old_maxval - maxval)); sumval += expf(inv_temperature * (x[4*pos_by_4 + warp.thread_rank()] - maxval)); } float global_maxval = cg::reduce(warp, maxval, cg::greater{}); sumval *= expf(inv_temperature * (maxval - global_maxval)); float sum = cg::reduce(warp, sumval, cg::plus{}); float norm = 1.f / sum; // divide the whole row by the sum for (int i = warp.thread_rank(); i <= own_pos; i += warp.size()) { // recalculation is faster than doing the round-trip through memory. float ev = expf(inv_temperature * (__ldcs(x + i) - global_maxval)); __stcs(out + idx * T + i, ev * norm); } } __global__ void residual_forward_kernel(float* out, float* inp1, float* inp2, int N) { int idx = blockIdx.x * blockDim.x + threadIdx.x; if (idx < N) { out[idx] = __ldcs(&inp1[idx]) + __ldcs(&inp2[idx]); } } #define GELU_SCALING_FACTOR sqrtf(2.0f / M_PI) __global__ void gelu_kernel(float* out, const float* inp, int N) { int i = blockIdx.x * blockDim.x + threadIdx.x; if (i < N) { float xi = inp[i]; float cube = 0.044715f * xi * xi * xi; out[i] = 0.5f * xi * (1.0f + tanhf(GELU_SCALING_FACTOR * (xi + cube))); } } __global__ void crossentropy_forward_kernel1(float* losses, float* probs, int* targets, int B, int T, int V) { int i = blockIdx.x * blockDim.x + threadIdx.x; if (i < B * T) { int b = i / T; int t = i % T; float* probs_bt = probs + b * T * V + t * V; int ix = targets[b * T + t]; losses[b * T + t] = -logf(probs_bt[ix]); } } __global__ void softmax_forward_kernel7(float* out, const float* inp, int N, int C) { // out is (N, C) just like inp. Each row of inp will get softmaxed. // same as kernel4, but optimised for very large Cs with advanced unrolling // The trick is to read into a register array (all indices known at compile time) // and always read UNROLL_FACTOR values to maximise memory level parallelism // even if we would be out of bounds, we set the index to min(C-1, idx) // so we just do some unnecessary reads (obviously bad for small C) // the writes are in a separate loop with a conditional check for out of bounds // making it separate is necessary to convince the compiler to do the right thing const int UNROLL_FACTOR = 8; const int warpsPerBlock = blockDim.x / 32; extern __shared__ float shared[]; int idx = blockIdx.x; int tid = threadIdx.x; int warpId = threadIdx.x / 32; // warp index within a block int laneId = threadIdx.x % 32; // thread index within a warp // shared[] must be allocated to have 2 * warpsPerBlock elements // first half for max values, the second half for sum values float* maxvals = shared; float* sumvals = &shared[warpsPerBlock]; if (tid >= C) { maxvals[warpId] = -INFINITY; sumvals[warpId] = 0.0f; return; } const float* x = inp + idx * C; // input float* y = out + idx * C; // output // first, thread coarsening by directly accessing global memory in series float maxval = -INFINITY; for (int i = tid; i < C; i += blockDim.x * UNROLL_FACTOR) { #pragma unroll for (int u = 0; u < UNROLL_FACTOR; u++) { maxval = fmaxf(maxval, x[min(C - 1, i + u*blockDim.x)]); } } // now within-warp reductions for maxval maxval = warpReduceMax(maxval); // the 0th thread of each warp writes the maxval of that warp to shared memory if (laneId == 0) maxvals[warpId] = maxval; __syncthreads(); // now the 0th thread reduces the maxvals in shared memory, i.e. across warps if (tid == 0) { float val = maxvals[tid]; #pragma unroll for (int i = 1; i < warpsPerBlock; i++) { val = fmaxf(val, maxvals[i]); } // store the final max in the first position maxvals[0] = val; } __syncthreads(); // broadcast the max to all threads float offset = maxvals[0]; // compute expf and write the result to global memory // + thread coarsening for sum float sumval = 0.0f; for (int i = tid; i < C; i += blockDim.x * UNROLL_FACTOR) { float reg_array[UNROLL_FACTOR]; #pragma unroll for (int u = 0; u < UNROLL_FACTOR; u++) { reg_array[u] = __ldcs(&x[min(C - 1, i + u*blockDim.x)]); } #pragma unroll for (int u = 0; u < UNROLL_FACTOR; u++) { if (i + u*blockDim.x < C) { float output = expf(reg_array[u] - offset); y[min(C - 1, i + u*blockDim.x)] = output; // compiler likes redundant min()?! sumval += output; // combined into the same loop unlike kernel3 } } } // okay now we calculated exp(x - max(x)) // step 2: sum all the values and divide by the sum // within-warp reduction for sumval sumval = warpReduceSum(sumval); // write sumval to shared memory if (laneId == 0) sumvals[warpId] = sumval; __syncthreads(); // inter-thread reduction of sum if (tid == 0) { float val = sumvals[tid]; #pragma unroll for (int i = 1; i < warpsPerBlock; ++i) { val += sumvals[i]; } sumvals[0] = val; } __syncthreads(); // broadcast the sum to all threads float sum = sumvals[0]; // divide the whole row by the sum for (int i = tid; i < C; i += blockDim.x * UNROLL_FACTOR) { float reg_array[UNROLL_FACTOR]; #pragma unroll for (int u = 0; u < UNROLL_FACTOR; u++) { reg_array[u] = y[min(C - 1, i + u*blockDim.x)]; } #pragma unroll for (int u = 0; u < UNROLL_FACTOR; u++) { if (i + u*blockDim.x < C) { y[i + u*blockDim.x] = reg_array[u] / sum; } } } } // ---------------------------------------------------------------------------- // kernel launchers void encoder_forward(float* out, int* inp, float* wte, float* wpe, int B, int T, int C) { const int N = B * T * C; const int block_size = 256; const int grid_size = CEIL_DIV(N, block_size); encoder_forward_kernel2<<>>(out, inp, wte, wpe, B, T, C); cudaCheck(cudaGetLastError()); } void layernorm_forward(float* out, float* mean, float* rstd, float* inp, float* weight, float* bias, int B, int T, int C) { const int block_size = 1024; const int N = B * T; const int grid_size = CEIL_DIV(N * 32, block_size); layernorm_forward_kernel3<<>>(out, mean, rstd, inp, weight, bias, N, C); cudaCheck(cudaGetLastError()); } // uses cuBLAS void matmul_forward_cublas(float* out, float* inp, float* weight, float* bias, int B, int T, int C, int OC) { const int sqrt_block_size = 32; 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. does not work with OC = 50257 (last layer) // https://docs.nvidia.com/cuda/cublas/#cublasltmatmul // https://github.com/NVIDIA/CUDALibrarySamples/blob/master/cuBLASLt/LtSgemm/sample_cublasLt_LtSgemm.cu void matmul_forward_cublaslt(float* out, float* inp, float* weight, float* bias, int B, int T, int C, int OC) { int has_bias = (bias != NULL); // 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_BIAS; 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\n", B, T, C, OC, has_bias); 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)); } void attention_forward(float* out, float* vaccum, float* qkvr, float* preatt, float* att, float* inp, int B, int T, int C, int NH) { const int block_size = 256; const int softmax_block_size = 256; // inp is (B, T, 3C) QKV // preatt, att are (B, NH, T, T) // output is (B, T, C) int HS = C / NH; // head size // permute and separate inp from (B, T, 3, NH, HS) to 3X (B, NH, T, HS) float *q, *k, *v; q = qkvr + 0 * B * T * C; k = qkvr + 1 * B * T * C; v = qkvr + 2 * B * T * C; int total_threads = B * NH * T * HS; int num_blocks = CEIL_DIV(total_threads, block_size); permute_kernel<<>>(q, k, v, inp, B, T, NH, HS); // batched matrix multiply with cuBLAS cublasStatus_t stat; const float alpha = 1.0f; const float beta = 0.0f; stat = cublasSgemmStridedBatched(cublas_handle, CUBLAS_OP_T, CUBLAS_OP_N, T, T, HS, &alpha, k, HS, T * HS, q, HS, T * HS, &beta, preatt, T, T * T, B * NH); if (stat != CUBLAS_STATUS_SUCCESS) { printf("cublasSgemm failed\n"); exit(1); } // multiply all elements of preatt elementwise by scale float scale = 1.0 / sqrtf(HS); int grid_size = CEIL_DIV(B * NH * T * 32, softmax_block_size); softmax_forward_kernel5<<>>(att, scale, preatt, B * NH, T); // new approach: first cuBLAS another batched matmul // y = att @ v # (B, nh, T, T) @ (B, nh, T, hs) -> (B, nh, T, hs) stat = cublasSgemmStridedBatched(cublas_handle, CUBLAS_OP_N, CUBLAS_OP_N, HS, T, T, &alpha, v, HS, T * HS, att, T, T * T, &beta, vaccum, HS, T * HS, B * NH); if (stat != CUBLAS_STATUS_SUCCESS) { printf("cublasSgemm failed\n"); exit(1); } // now unpermute // y = y.transpose(1, 2).contiguous().view(B, T, C) # re-assemble all head outputs side by side num_blocks = CEIL_DIV(B * T * C, block_size); unpermute_kernel<<>>(vaccum, out, B, T, NH, HS); } void residual_forward(float* out, float* inp1, float* inp2, int N) { const int block_size = 256; const int grid_size = CEIL_DIV(N, block_size); residual_forward_kernel<<>>(out, inp1, inp2, N); cudaCheck(cudaGetLastError()); } void gelu_forward(float* out, const float* inp, int N) { const int block_size = 128; const int grid_size = CEIL_DIV(N, block_size); gelu_kernel<<>>(out, inp, N); cudaCheck(cudaGetLastError()); } void softmax_forward(float* out, float* inp, int N, int C) { int grid_size = N; const int block_size = 512; size_t shared_mem_size = 2 * block_size / 32 * sizeof(float); softmax_forward_kernel7<<>>(out, inp, N, C); } void crossentropy_forward(float* losses, float* probs, int* targets, int B, int T, int V) { const int block_size = 128; const int N = B * T; const int grid_size = CEIL_DIV(N, block_size); crossentropy_forward_kernel1<<>>(losses, probs, targets, B, T, V); cudaCheck(cudaGetLastError()); } // ---------------------------------------------------------------------------- // GPT-2 model definition // the parameters of the model #define NUM_PARAMETER_TENSORS 16 typedef struct { float* wte; // (V, C) float* wpe; // (maxT, C) float* ln1w; // (L, C) float* ln1b; // (L, C) float* qkvw; // (L, 3*C, C) float* qkvb; // (L, 3*C) float* attprojw; // (L, C, C) float* attprojb; // (L, C) float* ln2w; // (L, C) float* ln2b; // (L, C) float* fcw; // (L, 4*C, C) float* fcb; // (L, 4*C) float* fcprojw; // (L, C, 4*C) float* fcprojb; // (L, C) float* lnfw; // (C) float* lnfb; // (C) } ParameterTensors; // allocate memory for the parameters and point the individual tensors to the right places float* malloc_and_point_parameters(ParameterTensors* params, size_t* param_sizes, int on_device) { // on_device: 0 = CPU, 1 = GPU // calculate the number of parameters size_t num_parameters = 0; for (size_t i = 0; i < NUM_PARAMETER_TENSORS; i++) { num_parameters += param_sizes[i]; } // malloc all parameters all at once on the device float* params_memory; if (on_device) { cudaCheck(cudaMalloc((void**)¶ms_memory, num_parameters * sizeof(float))); } else { params_memory = (float*)malloc(num_parameters * sizeof(float)); } // assign all the tensors their place in the array float** ptrs[] = { ¶ms->wte, ¶ms->wpe, ¶ms->ln1w, ¶ms->ln1b, ¶ms->qkvw, ¶ms->qkvb, ¶ms->attprojw, ¶ms->attprojb, ¶ms->ln2w, ¶ms->ln2b, ¶ms->fcw, ¶ms->fcb, ¶ms->fcprojw, ¶ms->fcprojb, ¶ms->lnfw, ¶ms->lnfb }; float* params_memory_iterator = params_memory; for (size_t i = 0; i < NUM_PARAMETER_TENSORS; i++) { *(ptrs[i]) = params_memory_iterator; params_memory_iterator += param_sizes[i]; } return params_memory; } #define NUM_ACTIVATION_TENSORS 25 typedef struct { float* encoded; // (B, T, C) float* ln1; // (L, B, T, C) float* ln1_mean; // (L, B, T) float* ln1_rstd; // (L, B, T) float* qkv; // (L, B, T, 3*C) float* atty; // (L, B, T, C) float* preatt; // (L, B, NH, T, T) float* att; // (L, B, NH, T, T) float* attproj; // (L, B, T, C) float* residual2; // (L, B, T, C) float* ln2; // (L, B, T, C) float* ln2_mean; // (L, B, T) float* ln2_rstd; // (L, B, T) float* fch; // (L, B, T, 4*C) float* fch_gelu; // (L, B, T, 4*C) float* fcproj; // (L, B, T, C) float* residual3; // (L, B, T, C) float* lnf; // (B, T, C) float* lnf_mean; // (B, T) float* lnf_rstd; // (B, T) float* logits; // (B, T, V) float* probs; // (B, T, V) float* losses; // (B, T) // adding these two compared to the CPU .c code, needed for attention kernel as buffers float* qkvr; // (L, B, T, 3*C) float* v_accum; // (L, B, T, C) } ActivationTensors; float* malloc_and_point_activations(ActivationTensors* acts, size_t* act_sizes) { size_t num_activations = 0; for (size_t i = 0; i < NUM_ACTIVATION_TENSORS; i++) { num_activations += act_sizes[i]; } float* acts_memory; cudaCheck(cudaMalloc((void**)&acts_memory, num_activations * sizeof(float))); float** ptrs[] = { &acts->encoded, &acts->ln1, &acts->ln1_mean, &acts->ln1_rstd, &acts->qkv, &acts->atty, &acts->preatt, &acts->att, &acts->attproj, &acts->residual2, &acts->ln2, &acts->ln2_mean, &acts->ln2_rstd, &acts->fch, &acts->fch_gelu, &acts->fcproj, &acts->residual3, &acts->lnf, &acts->lnf_mean, &acts->lnf_rstd, &acts->logits, &acts->probs, &acts->losses, &acts->qkvr, &acts->v_accum }; float* acts_memory_iterator = acts_memory; for (size_t i = 0; i < NUM_ACTIVATION_TENSORS; i++) { *(ptrs[i]) = acts_memory_iterator; acts_memory_iterator += act_sizes[i]; } return acts_memory; } typedef struct { int max_seq_len; // max sequence length, e.g. 1024 int vocab_size; // vocab size, e.g. 50257 int num_layers; // number of layers, e.g. 12 int num_heads; // number of heads in attention, e.g. 12 int channels; // number of channels, e.g. 768 } GPT2Config; typedef struct { GPT2Config config; // the weights of the model, and their sizes ParameterTensors params; size_t param_sizes[NUM_PARAMETER_TENSORS]; float* params_memory; int num_parameters; // gradients of the weights ParameterTensors grads; float* grads_memory; // buffers for the AdamW optimizer float* m_memory; float* v_memory; // the activations of the model, and their sizes ActivationTensors acts; size_t act_sizes[NUM_ACTIVATION_TENSORS]; float* acts_memory; int num_activations; // gradients of the activations ActivationTensors grads_acts; float* grads_acts_memory; // other run state configuration int batch_size; // the batch size (B) of current forward pass int seq_len; // the sequence length (T) of current forward pass int* inputs; // the input tokens for the current forward pass int* targets; // the target tokens for the current forward pass float mean_loss; // after a forward pass with targets, will be populated with the mean loss float* cpu_losses; // CPU buffer to copy the losses to, allocated with cudaMallocHost } GPT2; void gpt2_build_from_checkpoint(GPT2 *model, const char* checkpoint_path) { // read in model from a checkpoint file FILE *model_file = fopen(checkpoint_path, "rb"); if (model_file == NULL) { printf("Error opening model file\n"); exit(1); } int model_header[256]; fread(model_header, sizeof(int), 256, model_file); if (model_header[0] != 20240326) { printf("Bad magic model file"); exit(1); } if (model_header[1] != 1) { printf("Bad version in model file"); exit(1); } // read in hyperparameters int maxT, V, L, NH, C; model->config.max_seq_len = maxT = model_header[2]; model->config.vocab_size = V = model_header[3]; model->config.num_layers = L = model_header[4]; model->config.num_heads = NH = model_header[5]; model->config.channels = C = model_header[6]; printf("[GPT-2]\n"); printf("max_seq_len: %d\n", maxT); printf("vocab_size: %d\n", V); printf("num_layers: %d\n", L); printf("num_heads: %d\n", NH); printf("channels: %d\n", C); // allocate space for all the parameters and read them in model->param_sizes[0] = V * C; // wte model->param_sizes[1] = maxT * C; // wpe model->param_sizes[2] = L * C; // ln1w model->param_sizes[3] = L * C; // ln1b model->param_sizes[4] = L * (3 * C) * C; // qkvw model->param_sizes[5] = L * (3 * C); // qkvb model->param_sizes[6] = L * C * C; // attprojw model->param_sizes[7] = L * C; // attprojb model->param_sizes[8] = L * C; // ln2w model->param_sizes[9] = L * C; // ln2b model->param_sizes[10] = L * (4 * C) * C; // fcw model->param_sizes[11] = L * (4 * C); // fcb model->param_sizes[12] = L * C * (4 * C); // fcprojw model->param_sizes[13] = L * C; // fcprojb model->param_sizes[14] = C; // lnfw model->param_sizes[15] = C; // lnfb // cound the number of paramaters size_t num_parameters = 0; for (size_t i = 0; i < NUM_PARAMETER_TENSORS; i++) { num_parameters += model->param_sizes[i]; } printf("num_parameters: %zu\n", num_parameters); model->num_parameters = num_parameters; // create memory for model parameters on the device model->params_memory = malloc_and_point_parameters(&model->params, model->param_sizes, 1); // read in all the parameters from file and copy them to device float* params_memory_cpu = (float*)malloc(num_parameters * sizeof(float)); fread(params_memory_cpu, sizeof(float), num_parameters, model_file); cudaCheck(cudaMemcpy(model->params_memory, params_memory_cpu, num_parameters * sizeof(float), cudaMemcpyHostToDevice)); free(params_memory_cpu); fclose(model_file); // other inits model->acts_memory = NULL; model->grads_memory = NULL; model->m_memory = NULL; model->v_memory = NULL; model->grads_acts_memory = NULL; model->inputs = NULL; model->targets = NULL; model->batch_size = 0; model->seq_len = 0; model->mean_loss = -1.0f; // -1.0f will designate no loss } void gpt2_forward(GPT2 *model, int* inputs, int* targets, int B, int T) { // targets are optional and could be NULL // ensure the model was initialized or error out if (model->params_memory == NULL) { printf("Error: model was not initialized properly.\n"); exit(1); } // convenience parameters int V = model->config.vocab_size; int L = model->config.num_layers; int NH = model->config.num_heads; int C = model->config.channels; // allocate space for all the activations if needed (done here, lazily) if(model->acts_memory == NULL) { // record the current B,T as well model->batch_size = B; model->seq_len = T; // and now allocate the space model->act_sizes[0] = B * T * C; // encoded model->act_sizes[1] = L * B * T * C; // ln1 model->act_sizes[2] = L * B * T; // ln1_mean model->act_sizes[3] = L * B * T; // ln1_rstd model->act_sizes[4] = L * B * T * 3*C; // qkv model->act_sizes[5] = L * B * T * C; // atty model->act_sizes[6] = L * B * NH * T * T; // preatt model->act_sizes[7] = L * B * NH * T * T; // att model->act_sizes[8] = L * B * T * C; // attproj model->act_sizes[9] = L * B * T * C; // residual2 model->act_sizes[10] = L * B * T * C; // ln2 model->act_sizes[11] = L * B * T; // ln2_mean model->act_sizes[12] = L * B * T; // ln2_rstd model->act_sizes[13] = L * B * T * 4*C; // fch model->act_sizes[14] = L * B * T * 4*C; // fch_gelu model->act_sizes[15] = L * B * T * C; // fcproj model->act_sizes[16] = L * B * T * C; // residual3 model->act_sizes[17] = B * T * C; // lnf model->act_sizes[18] = B * T; // lnf_mean model->act_sizes[19] = B * T; // lnf_rstd model->act_sizes[20] = B * T * V; // logits model->act_sizes[21] = B * T * V; // probs model->act_sizes[22] = B * T; // losses model->act_sizes[23] = L * B * T * 3*C; // qkvr model->act_sizes[24] = L * B * T * C; // v_accum size_t num_activations = 0; for (size_t i = 0; i < NUM_ACTIVATION_TENSORS; i++) { num_activations += model->act_sizes[i]; } printf("num_activations: %zu\n", num_activations); model->num_activations = num_activations; model->acts_memory = malloc_and_point_activations(&model->acts, model->act_sizes); // also create memory for caching inputs and targets cudaCheck(cudaMalloc((void**)&model->inputs, B * T * sizeof(int))); cudaCheck(cudaMalloc((void**)&model->targets, B * T * sizeof(int))); cudaCheck(cudaMallocHost((void**)&model->cpu_losses, B * T * sizeof(float))); } else { // validate B,T is no larger than what was previously allocated // in principle, we could re-allocate a larger chunk of memory, for now we just error out if (B > model->batch_size || T > model->seq_len) { printf("Error: batch size or sequence length is inadequately large\n"); printf("Model: B=%d T=%d, Desired: B=%d T=%d\n", model->batch_size, model->seq_len, B, T); exit(1); } } // copy inputs/targets to the model cudaCheck(cudaMemcpy(model->inputs, inputs, B * T * sizeof(int), cudaMemcpyHostToDevice)); if (targets != NULL) { cudaCheck(cudaMemcpy(model->targets, targets, B * T * sizeof(int), cudaMemcpyHostToDevice)); } // forward pass ParameterTensors params = model->params; // for brevity ActivationTensors acts = model->acts; float* residual; encoder_forward(acts.encoded, model->inputs, params.wte, params.wpe, B, T, C); // encoding goes into residual[0] for (int l = 0; l < L; l++) { residual = l == 0 ? acts.encoded : acts.residual3 + (l-1) * B * T * C; // get the pointers of the weights for this layer float* l_ln1w = params.ln1w + l * C; float* l_ln1b = params.ln1b + l * C; float* l_qkvw = params.qkvw + l * 3*C * C; float* l_qkvb = params.qkvb + l * 3*C; float* l_attprojw = params.attprojw + l * C * C; float* l_attprojb = params.attprojb + l * C; float* l_ln2w = params.ln2w + l * C; float* l_ln2b = params.ln2b + l * C; float* l_fcw = params.fcw + l * 4*C * C; float* l_fcb = params.fcb + l * 4*C; float* l_fcprojw = params.fcprojw + l * C * 4*C; float* l_fcprojb = params.fcprojb + l * C; // get the pointers of the activations for this layer float* l_ln1 = acts.ln1 + l * B * T * C; float* l_ln1_mean = acts.ln1_mean + l * B * T; float* l_ln1_rstd = acts.ln1_rstd + l * B * T; float* l_qkv = acts.qkv + l * B * T * 3*C; float* l_qkvr = acts.qkvr + l * B * T * 3*C; float* l_atty = acts.atty + l * B * T * C; float* l_preatt = acts.preatt + l * B * NH * T * T; float* l_att = acts.att + l * B * NH * T * T; float* l_v_accum = acts.v_accum + l * B * T * C; float* l_attproj = acts.attproj + l * B * T * C; float* l_residual2 = acts.residual2 + l * B * T * C; float* l_ln2 = acts.ln2 + l * B * T * C; float* l_ln2_mean = acts.ln2_mean + l * B * T; float* l_ln2_rstd = acts.ln2_rstd + l * B * T; float* l_fch = acts.fch + l * B * T * 4*C; float* l_fch_gelu = acts.fch_gelu + l * B * T * 4*C; float* l_fcproj = acts.fcproj + l * B * T * C; float* l_residual3 = acts.residual3 + l * B * T * C; // now do the forward pass layernorm_forward(l_ln1, l_ln1_mean, l_ln1_rstd, residual, l_ln1w, l_ln1b, B, T, C); matmul_forward_cublaslt(l_qkv, l_ln1, l_qkvw, l_qkvb, B, T, C, 3*C); attention_forward(l_atty, l_v_accum, l_qkvr, l_preatt, l_att, l_qkv, B, T, C, NH); matmul_forward_cublaslt(l_attproj, l_atty, l_attprojw, l_attprojb, B, T, C, C); residual_forward(l_residual2, residual, l_attproj, B*T*C); layernorm_forward(l_ln2, l_ln2_mean, l_ln2_rstd, l_residual2, l_ln2w, l_ln2b, B, T, C); matmul_forward_cublaslt(l_fch, l_ln2, l_fcw, l_fcb, B, T, C, 4*C); gelu_forward(l_fch_gelu, l_fch, B*T*4*C); matmul_forward_cublaslt(l_fcproj, l_fch_gelu, l_fcprojw, l_fcprojb, B, T, 4*C, C); residual_forward(l_residual3, l_residual2, l_fcproj, B*T*C); } residual = acts.residual3 + (L-1) * B * T * C; // last residual is in residual3 layernorm_forward(acts.lnf, acts.lnf_mean, acts.lnf_rstd, residual, params.lnfw, params.lnfb, B, T, C); matmul_forward_cublas(acts.logits, acts.lnf, params.wte, NULL, B, T, C, V); softmax_forward(acts.probs, acts.logits, B*T, V); // also forward the cross-entropy loss function if we have the targets if (targets != NULL) { crossentropy_forward(acts.losses, acts.probs, model->targets, B, T, V); // for convenience also evaluate the mean loss // move the (B,T) losses to CPU cudaCheck(cudaMemcpy(model->cpu_losses, acts.losses, B * T * sizeof(float), cudaMemcpyDeviceToHost)); float mean_loss = 0.0f; for (int i=0; icpu_losses[i]; } mean_loss /= B*T; model->mean_loss = mean_loss; } else { // if we don't have targets, we don't have a loss model->mean_loss = -1.0f; } } void gpt2_zero_grad(GPT2 *model) { if (model->grads_acts_memory != NULL) { cudaCheck(cudaMemset(model->grads_acts_memory, 0, model->num_activations * sizeof(float))); } if (model->grads_memory != NULL) { cudaCheck(cudaMemset(model->grads_memory, 0, model->num_parameters * sizeof(float))); } } void gpt2_backward(GPT2 *model) { // double check we forwarded previously, with targets if (model->mean_loss == -1.0f) { printf("Error: must forward with targets before backward\n"); exit(1); } // lazily allocate the memory for gradients of the weights and activations, if needed if (model->grads_memory == NULL) { model->grads_memory = malloc_and_point_parameters(&model->grads, model->param_sizes, 1); model->grads_acts_memory = malloc_and_point_activations(&model->grads_acts, model->act_sizes); gpt2_zero_grad(model); } // convenience shortcuts int B = model->batch_size; int T = model->seq_len; // int V = model->config.vocab_size; // int L = model->config.num_layers; // int NH = model->config.num_heads; // int C = model->config.channels; // backward pass: go in the reverse order of the forward pass, and call backward() functions // ParameterTensors params = model->params; // for brevity // ParameterTensors grads = model->grads; // ActivationTensors acts = model->acts; ActivationTensors grads_acts = model->grads_acts; // we kick off the chain rule by filling in dlosses with 1.0f/(B*T) // technically this is a small, inline backward() pass of calculating // total, final loss as the mean over all losses over all (B,T) positions in the batch float dloss_mean = 1.0f / (B*T); cudaCheck(cudaMemset(grads_acts.losses, dloss_mean, B*T * sizeof(float))); // crossentropy_softmax_backward(grads_acts.logits, grads_acts.losses, acts.probs, model->targets, B, T, V); } void gpt2_free(GPT2 *model) { cudaCheck(cudaFree(model->params_memory)); cudaCheck(cudaFree(model->grads_memory)); cudaCheck(cudaFree(model->m_memory)); cudaCheck(cudaFree(model->v_memory)); cudaCheck(cudaFree(model->acts_memory)); cudaCheck(cudaFree(model->grads_acts_memory)); cudaCheck(cudaFree(model->inputs)); cudaCheck(cudaFree(model->targets)); cudaFreeHost(model->cpu_losses); } #ifndef TESTING // if we are TESTING (see test_gpt2.cu), we'll skip the int main below // ---------------------------------------------------------------------------- // data loader lite // returns random batches of data from a file of integers typedef struct { // hyperparameters int B; int T; // input handling and its state FILE* tokens_file; long file_size; long current_position; // output memory int* batch; int* inputs; int* targets; // convenience variables int num_batches; } DataLoader; void dataloader_init(DataLoader *loader, const char* filename, int B, int T) { loader->B = B; loader->T = T; // open the input file for reading loader->tokens_file = fopen(filename, "rb"); if (loader->tokens_file == NULL) { printf("Error opening tokens file\n"); exit(1); } // determine the file size fseek(loader->tokens_file, 0, SEEK_END); loader->file_size = ftell(loader->tokens_file); fseek(loader->tokens_file, 0, SEEK_SET); if (loader->file_size < (B * T + 1) * sizeof(int)) { printf("Error: file size is too small for the batch size and sequence length\n"); exit(1); } loader->current_position = 0; // start at the beginning // allocate space for B*T + 1 integers to store the inputs and targets // Using CUDA CPU pinned memory for faster PCI Express transfers to GPU // See: https://developer.nvidia.com/blog/how-optimize-data-transfers-cuda-cc/ cudaMallocHost((void**)&loader->batch, (B * T + 1) * sizeof(int)); loader->inputs = loader->batch; loader->targets = loader->batch + 1; // targets are shifted by one loader->num_batches = loader->file_size / (B * T * sizeof(int)); } void dataloader_reset(DataLoader *loader) { loader->current_position = 0; } void dataloader_next_batch(DataLoader *loader) { int B = loader->B; int T = loader->T; // if we are at the end of the file, loop back to the beginning if (loader->current_position + (B*T+1) * sizeof(int) > loader->file_size) { loader->current_position = 0; } // read the B*T+1 integers from the file into batch fseek(loader->tokens_file, loader->current_position, SEEK_SET); fread(loader->batch, sizeof(int), B*T+1, loader->tokens_file); // advance the current position by B*T integers loader->current_position += B*T * sizeof(int); } void dataloader_free(DataLoader *loader) { fclose(loader->tokens_file); cudaFreeHost(loader->batch); } // ---------------------------------------------------------------------------- // sampler #define GPT2_EOT 50256 unsigned int random_u32(unsigned long long *state) { // xorshift rng: https://en.wikipedia.org/wiki/Xorshift#xorshift.2A *state ^= *state >> 12; *state ^= *state << 25; *state ^= *state >> 27; return (*state * 0x2545F4914F6CDD1Dull) >> 32; } float random_f32(unsigned long long *state) { // random float32 in [0,1) return (random_u32(state) >> 8) / 16777216.0f; } int sample_mult(float* probabilities, int n, float coin) { // sample index from probabilities (they must sum to 1!) // coin is a random number in [0, 1), usually from random_f32() float cdf = 0.0f; for (int i = 0; i < n; i++) { cdf += probabilities[i]; if (coin < cdf) { return i; } } return n - 1; // in case of rounding errors } // ---------------------------------------------------------------------------- // main training loop int main() { // set up the device int deviceIdx = 0; cudaCheck(cudaSetDevice(deviceIdx)); cudaDeviceProp deviceProp; cudaGetDeviceProperties(&deviceProp, deviceIdx); printf("[System]\n"); 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)); // build the GPT-2 model from a checkpoint GPT2 model; gpt2_build_from_checkpoint(&model, "gpt2_124M.bin"); // build the DataLoaders from tokens files. for now use tiny_shakespeare if available, else tiny_stories const char* tiny_stories_train = "data/TinyStories_train.bin"; const char* tiny_stories_val = "data/TinyStories_val.bin"; const char* tiny_shakespeare_train = "data/tiny_shakespeare_train.bin"; const char* tiny_shakespeare_val = "data/tiny_shakespeare_val.bin"; const char* train_tokens = access(tiny_shakespeare_train, F_OK) != -1 ? tiny_shakespeare_train : tiny_stories_train; const char* val_tokens = access(tiny_shakespeare_val, F_OK) != -1 ? tiny_shakespeare_val : tiny_stories_val; int B = 4; int T = 1024; DataLoader train_loader; dataloader_init(&train_loader, train_tokens, B, T); printf("train dataset num_batches: %d\n", train_loader.num_batches); DataLoader val_loader; dataloader_init(&val_loader, val_tokens, B, T); printf("val dataset num_batches: %d\n", val_loader.num_batches); int val_num_batches = 10; printf("batch size: %d\n", B); printf("sequence length: %d\n", T); printf("val_num_batches: %d\n", val_num_batches); // some memory for generating samples from the model unsigned long long rng_state = 1337; const int genT = 64; int* gen_tokens = (int*)calloc(B * genT, sizeof(int)); // init with all zero token float* cpu_probs = (float*)malloc(model.config.vocab_size * sizeof(float)); // train struct timespec start, end; for (int step = 0; step <= 40; step++) { // once in a while estimate the validation loss if (step % 10 == 0) { float val_loss = 0.0f; dataloader_reset(&val_loader); for (int i = 0; i < val_num_batches; i++) { dataloader_next_batch(&val_loader); gpt2_forward(&model, val_loader.inputs, val_loader.targets, B, T); val_loss += model.mean_loss; } val_loss /= val_num_batches; printf("val loss %f\n", val_loss); } // once in a while do model inference to print generated text if (step > 0 && step % 20 == 0) { gen_tokens[0] = GPT2_EOT; // the GPT-2 EOT token kicks off the generation for (int t = 1; t < genT; t++) { // note that inference is very wasteful here because for each token // we re-calculate the forward pass for all of (B,T) from scratch // but the inference here is just for sanity checking anyway // and we're only actually using b=0 (i.e. the first row) of all B rows gpt2_forward(&model, gen_tokens, NULL, B, T); float* probs = model.acts.probs + (t-1) * model.config.vocab_size; float coin = random_f32(&rng_state); // move probs back to CPU and sample cudaCheck(cudaMemcpy(cpu_probs, probs, model.config.vocab_size * sizeof(float), cudaMemcpyDeviceToHost)); int next_token = sample_mult(cpu_probs, model.config.vocab_size, coin); gen_tokens[t] = next_token; } printf("generated:\n"); for (int t = 0; t < genT; t++) { printf("%d ", gen_tokens[t]); } printf("\n"); } // do a training step clock_gettime(CLOCK_MONOTONIC, &start); dataloader_next_batch(&train_loader); gpt2_forward(&model, train_loader.inputs, train_loader.targets, B, T); // gpt2_zero_grad(&model); // gpt2_backward(&model); // gpt2_update(&model, 1e-4f, 0.9f, 0.999f, 1e-8f, 0.0f, step+1); cudaCheck(cudaDeviceSynchronize()); // finish all CUDA work to get correct precise timings clock_gettime(CLOCK_MONOTONIC, &end); double time_elapsed_s = (end.tv_sec - start.tv_sec) + (end.tv_nsec - start.tv_nsec) / 1e9; printf("step %d: train loss %f (took %f ms)\n", step, model.mean_loss, time_elapsed_s * 1000); } // free dataloader_free(&train_loader); dataloader_free(&val_loader); gpt2_free(&model); free(cpu_probs); free(gen_tokens); cudaCheck(cudaFree(cublaslt_workspace)); cublasCheck(cublasDestroy(cublas_handle)); cublasCheck(cublasLtDestroy(cublaslt_handle)); return 0; } #endif