Dense GEMM
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#include <cuda_bf16.h>
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#include <mma.h>
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#include <cstdint>
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using namespace nvcuda;
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constexpr int BM = 32; // block tile M
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constexpr int BN = 32; // block tile N
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constexpr int BK = 128; // block tile K
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constexpr int PAD = 4; // shared memory padding,缓解 bank 冲突
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constexpr int WARPS_M = BM / 16; // 4
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constexpr int WARPS_N = BN / 16; // 4
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constexpr int NUM_WARPS = WARPS_M * WARPS_N; // 16
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constexpr int THREADS = NUM_WARPS * 32; // 512
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__global__ void wmma_bf16_gemm_abt(const __nv_bfloat16* __restrict__ A,
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const __nv_bfloat16* __restrict__ B,
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__nv_bfloat16* __restrict__ C,
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int M, int N, int K) {
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const int tid = threadIdx.x;
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const int warp_id = tid / 32;
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const int lane = tid % 32;
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const int warp_m = warp_id / WARPS_N;
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const int warp_n = warp_id % WARPS_N;
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const int block_m = blockIdx.y * BM;
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const int block_n = blockIdx.x * BN;
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__shared__ __nv_bfloat16 A_smem[BM][BK + PAD];
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__shared__ __nv_bfloat16 B_smem[BN][BK + PAD]; // 按 N x K 行主序存
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__shared__ float C_smem[NUM_WARPS][16][16];
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wmma::fragment<wmma::matrix_a, 16, 16, 16, __nv_bfloat16, wmma::row_major> a_frag;
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wmma::fragment<wmma::matrix_b, 16, 16, 16, __nv_bfloat16, wmma::col_major> b_frag;
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wmma::fragment<wmma::accumulator, 16, 16, 16, float> c_frag;
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wmma::fill_fragment(c_frag, 0.0f);
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for (int k0 = 0; k0 < K; k0 += BK) {
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// -------- 协作加载 A tile: BM x BK --------
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for (int i = tid; i < BM * BK; i += THREADS) {
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int r = i / BK;
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int c = i % BK;
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int gr = block_m + r;
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int gc = k0 + c;
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A_smem[r][c] = (gr < M && gc < K) ? A[gr * K + gc]
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: __float2bfloat16(0.0f);
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}
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// -------- 协作加载 B tile: BN x BK --------
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for (int i = tid; i < BN * BK; i += THREADS) {
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int r = i / BK;
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int c = i % BK;
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int gr = block_n + r;
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int gc = k0 + c;
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B_smem[r][c] = (gr < N && gc < K) ? B[gr * K + gc]
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: __float2bfloat16(0.0f);
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}
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__syncthreads();
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for (int kk = 0; kk < BK; kk += 16) {
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// A 片段:从 shared 的 kk 列开始,取 16 列
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wmma::load_matrix_sync(a_frag,
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&A_smem[warp_m * 16][kk],
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BK + PAD);
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// B 片段:从 shared 的 kk 列开始,取 16 列,col_major 实现 B^T
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wmma::load_matrix_sync(b_frag,
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&B_smem[warp_n * 16][kk],
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BK + PAD);
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wmma::mma_sync(c_frag, a_frag, b_frag, c_frag);
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}
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__syncthreads(); // 下一轮覆盖 shared memory 前同步
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}
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// -------- 结果写回 --------
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wmma::store_matrix_sync(&C_smem[warp_id][0][0], c_frag, 16,
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wmma::mem_row_major);
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const int tile_m = block_m + warp_m * 16;
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const int tile_n = block_n + warp_n * 16;
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for (int i = lane; i < 16 * 16; i += 32) {
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int r = i / 16;
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int c = i % 16;
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int gr = tile_m + r;
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int gc = tile_n + c;
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if (gr < M && gc < N) {
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C[gr * N + gc] = __float2bfloat16(C_smem[warp_id][r][c]);
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}
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}
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}
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extern "C" void run_kernel(const __nv_bfloat16* A,
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const __nv_bfloat16* B,
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__nv_bfloat16* C,
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int M, int N, int K) {
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dim3 block(THREADS);
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dim3 grid((N + BN - 1) / BN, (M + BM - 1) / BM);
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wmma_bf16_gemm_abt<<<grid, block>>>(A, B, C, M, N, K);
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}
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