/* The GPT-2 Encoder, which combines two encodings: token and position In the forward pass, both encodings are added together In the backward pass, the gradients flow to both, handled by different kernels */ #include #include #include // std::pair #include #include #include // llmc internal imports #include "cuda_common.h" #include "cuda_utils.cuh" // ---------------------------------------------------------------------------- // CUDA kernels __global__ void encoder_forward_kernel3(floatX* out, const int* inp, const floatX* wte, const floatX* wpe, int B, int T, int C) { int idx = (blockIdx.x * blockDim.x + threadIdx.x) * x128::size; int N = B * T * C; if (idx >= N) { return; } int bt = idx / C; int b = bt / T; int t = bt % T; int c = idx % C; int ix = inp[b * T + t]; floatX* out_btc = out + b * T * C + t * C + c; const floatX* wte_ix = wte + ix * C + c; const floatX* wpe_tc = wpe + t * C + c; x128 packed_out; x128 wte128 = load128cs(wte_ix); x128 wpe128 = load128cs(wpe_tc); for (int k = 0; k < x128::size; k++) { packed_out[k] = (floatX)((float)wte128[k] + (float)wpe128[k]); } store128(out_btc, packed_out); } template __global__ void wte_backward_kernel(floatX* dwte, const int4* bucket_info, const int* workload_indices, const floatX* dout, const int* inp, unsigned int seed, int B, int T, int C) { // In order to be deterministic, we preprocess the inputs on the cpu into "buckets" // Each bucket corresponds to (WARP_SIZE * x128::size) channels for a single vocabulary token // Each thread handles x128::size channels, e.g. 256 per warp for BF16 // Each block handles (BLOCK_SIZE / WARP_SIZE) elements in a single bucket in parallel // If a bucket has less than 8 elements, some warps will return immediately // If a bucket has more than 8 elements, we will loop over all of them // The buckets are sorted on the CPU so the largest buckets start 1st int bucket = blockIdx.x; int warp_id = threadIdx.x / WARP_SIZE; int lane_id = threadIdx.x % WARP_SIZE; int c_per_warp = WARP_SIZE * x128::size; int bucket_start_idx = bucket_info[bucket].x; int bucket_size = bucket_info[bucket].y; int bucket_ix = bucket_info[bucket].z; int c = bucket_info[bucket].w * c_per_warp + (lane_id * x128::size); // Each thread handles "x128::size" channels, so at fp8, each warp would handle 512 channels // If C is not a multiple of this (e.g. 768), some buckets/c_groups cannot use the entire warp if (c >= C) { return; } // Exit early if this is a small bucket and this warp doesn't have any items to process if (warp_id >= bucket_size) { return; } float accum[x128::size] = {0.0f}; __shared__ float accum_shared[x128::size * BLOCK_SIZE]; for(int item = warp_id; item < bucket_size; item += BLOCK_SIZE/WARP_SIZE) { int bt = workload_indices[bucket_start_idx + item]; const floatX* dout_btc = dout + bt * C + c; x128 packed_inp1 = load128cs(dout_btc); for (int k = 0; k < packed_inp1.size; k++) { accum[k] += (float)packed_inp1[k]; } } if (warp_id != 0) { // we accumulate into warp 0, so only the other warps need to write to shared memory for (int k = 0; k < x128::size; k++) { accum_shared[threadIdx.x + k * BLOCK_SIZE] = accum[k]; } return; // only warp 0 is needed after writing to shared memory } // Read dwte for warp 0 even if other warps are not finished yet to maximise latency tolerance floatX* dwte_ix = dwte + bucket_ix * C + c; x128 packed_in_out = load128(dwte_ix); // note: threads which have returned are considered synchronised by CUDA so no risk of deadlock __syncthreads(); // Accumulate into warp 0's registers by reading the values of the other warps in shared memory for (int i = threadIdx.x+WARP_SIZE; i < min(BLOCK_SIZE, bucket_size*WARP_SIZE); i += WARP_SIZE) { for (int k = 0; k < x128::size; k++) { accum[k] += accum_shared[i + k * BLOCK_SIZE]; } } // Add the result to dwte and write back to global memory (read-modify-write) for (unsigned int k = 0; k < x128::size; k++) { // We use stochastic rounding to go from FP32 to BF16 // The seed is deterministic and unique for each parameter to guarantee we have determinism AND // to avoid **potential** issues with positionX int SquirrelNoise5 argument overflowing which is UB // and that somehow messing the quality of random numbers stochastic_rounding(accum[k] + (float)packed_in_out[k], &packed_in_out[k], seed + bucket * WARP_SIZE + threadIdx.x + k); } store128(dwte_ix, packed_in_out); } __global__ void wpe_backward_kernel(floatX* dwpe, const floatX* dout, const int* inp, int B, int T, int C, unsigned int seed) { // Each thread handles x128::size "channel positions", e.g. 256 per warp for BF16 // For gpt2-124M BF16, C=768 and T=1024, so 3 warps per channel and 3072 warps in total // For each "channel position" we sum the gradients for every batch at that C/T element // This way each dwte element is only updated once, and the kernel is fully deterministic! // The previous kernel was not deterministic, as batches were aggregated with atomicAdd int idx = (blockIdx.x * blockDim.x + threadIdx.x) * x128::size; if (idx >= T * C) { return; } // if C is not a multiple of WARP_SIZE*x128::size, it's OK for some warps to handle multiple t int t = idx / C; int c = idx % C; float accum[x128::size] = {0.0f}; for (int b = 0; b < B; b++) { x128 packed_dout = load128cs(dout + (b * T * C) + (t * C) + c); // will never be read again for (int k = 0; k < x128::size; k++) { accum[k] += (float)packed_dout[k]; } } floatX* dwpe_tc = dwpe + (t * C) + c; x128 packed_dwpe = load128(dwpe_tc); for (unsigned int k = 0; k < x128::size; k++) { // We use stochastic rounding to go from FP32 to BF16 // The seed is deterministic and unique for each parameter to guarantee we have determinism AND // to avoid **potential** issues with positionX int SquirrelNoise5 argument overflowing which is UB // and that somehow messing the quality of random numbers stochastic_rounding(accum[k] + (float)packed_dwpe[k], &packed_dwpe[k], seed + idx + k); } store128(dwpe_tc, packed_dwpe); } // ---------------------------------------------------------------------------- // kernel launchers void encoder_forward(floatX* out, const int* inp, const floatX* wte, const floatX* wpe, int B, int T, int C, cudaStream_t stream) { NVTX_RANGE_FN(); const int block_size = 256; const int N = B * T * C; const int grid_size = CEIL_DIV(N, (int)(block_size * x128::size)); encoder_forward_kernel3<<>>(out, inp, wte, wpe, B, T, C); cudaCheck(cudaGetLastError()); } // Fully deterministic (see comments in wte_backward_kernel and wpe_backward_kernel for more details) void encoder_backward(floatX* dwte, floatX* dwpe, floatX* scratch, // gpu outputs & scratch int* workload_indices, int4* bucket_info, // cpu scratch buffers const floatX* dout, const int* inp, const int* inputs_cpu, // cpu/gpu inputs int B, int T, int C, unsigned int seed, cudaStream_t stream) { NVTX_RANGE_FN(); // Launch wpe kernel first (so it runs on the GPU in parallel with the CPU pre-processing for wte) const int block_size = 256; const int N = T * C / x128::size; const int grid_size = CEIL_DIV(N, block_size); wpe_backward_kernel<<>>(dwpe, dout, inp, B, T, C, seed); cudaCheck(cudaGetLastError()); // check the GPU scratch buffer is large enough to hold the bucket info and workload indices // todo - this is trivially true given hardcoded scratch buffer size here, is this useful? int num_c_groups = CEIL_DIV(C, x128::size * WARP_SIZE); assert(B*T*num_c_groups * (sizeof(int4)+sizeof(int)) <= B*T*3*C * sizeof(floatX)); // Step 1: Sort inputs into buckets int total_items = 0; std::unordered_map> buckets; for (uint64_t bt = 0; bt < B * T; bt++) { for (uint64_t c_group = 0; c_group < num_c_groups; c_group++) { // todo - passing c_group/inputs_cpu[bt] in data to avoid a second hash lookup is a bit hacky uint64_t data = bt + (c_group<<32ULL) + ((uint64_t)inputs_cpu[bt]<<42ULL); buckets[c_group + num_c_groups * inputs_cpu[bt]].push_back(data); total_items++; } } // Step 2: Sort buckets by size in descending order // this is so the largest buckets are processed first by the GPU // otherwise, if they started late, they would still be running with the rest of the GPU idle std::vector>> sortedBuckets(buckets.begin(), buckets.end()); std::sort(sortedBuckets.begin(), sortedBuckets.end(), // ugly because we don't have a typedef for the std::pair [](const std::pair>& a, const std::pair>& b) { return a.second.size() > b.second.size(); }); int num_buckets = buckets.size(); int bucket_index = 0; int workload_index = 0; for (const auto& bucket : sortedBuckets) { bucket_info[bucket_index].x = workload_index; // bucket start bucket_info[bucket_index].y = bucket.second.size(); // bucket size bucket_info[bucket_index].z = (bucket.second[0] >> 42ULL) & ((1ULL<<20ULL)-1); // bucket ix bucket_info[bucket_index].w = (bucket.second[0] >> 32ULL) & ((1ULL<<10ULL)-1); // bucket c for (uint64_t idx : bucket.second) { workload_indices[workload_index++] = (int)(idx & ((1ULL<<31ULL)-1ULL)); } bucket_index++; } // Step 3: Copy data from host to device (async until the last one to avoid synchronising CPU/GPU twice) // todo - could use CUDA events (even without streams) to avoid CPU/GPU synchronisation completely int4* d_bucket_info = (int4*)scratch; int* d_workload_indices = (int*)(scratch + B*T*num_c_groups * sizeof(int4)); cudaCheck(cudaMemcpyAsync(d_bucket_info, bucket_info, num_buckets * sizeof(int4), cudaMemcpyHostToDevice, stream)); cudaCheck(cudaMemcpyAsync(d_workload_indices, workload_indices, total_items * sizeof(int), cudaMemcpyHostToDevice, stream)); // Launch wte kernel // todo - profile block sizes on more content (depends on number of buckets and on GPU?) wte_backward_kernel<256><<>>(dwte, d_bucket_info, d_workload_indices, dout, inp, seed, B, T, C); cudaCheck(cudaGetLastError()); }