Dense GEMM
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#include <stdint.h>
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#include <cuda_bf16.h>
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#define TILE 16
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__global__ void MatMulShareBf16(const __nv_bfloat16* A, const __nv_bfloat16* B, __nv_bfloat16* C,
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int64_t M, int64_t N, int64_t K) {
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__shared__ __nv_bfloat16 As[TILE][TILE];
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__shared__ __nv_bfloat16 Bs[TILE][TILE];
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int tx = threadIdx.x, ty = threadIdx.y;
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int row = blockIdx.y * TILE + ty; // 对应输出 C 的 M 维度 (i)
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int col = blockIdx.x * TILE + tx; // 对应输出 C 的 N 维度 (j)
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float sum = 0.0f; // 使用 FP32 进行累加,保证计算精度
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int num = (K + TILE - 1) / TILE;
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for (int t = 0; t < num; t++) {
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int aCol = tx + t * TILE;
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int bK = tx + t * TILE;
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int bN = blockIdx.x * TILE + ty; // 注意这里用 ty 作为 N 方向
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// A: A[row][k]
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As[ty][tx] = (row < M && aCol < K)
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? A[row * K + aCol]
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: __float2bfloat16(0.0f);
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// B: B 是 (N,K),这里存成 Bs[K][N]
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Bs[tx][ty] = (bN < N && bK < K)
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? B[bN * K + bK]
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: __float2bfloat16(0.0f);
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__syncthreads();
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for (int k = 0; k < TILE; ++k) {
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float a_val = __bfloat162float(As[ty][k]);
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float b_val = __bfloat162float(Bs[k][tx]); // Bs[K][N]
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sum += a_val * b_val;
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}
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__syncthreads();
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}
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// 将 FP32 结果转换回 bf16 写回全局内存
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if (row < M && col < N) {
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C[row * N + col] = __float2bfloat16(sum);
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}
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}
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extern "C" void run_kernel(
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const __nv_bfloat16* A,
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const __nv_bfloat16* B,
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__nv_bfloat16* C,
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int64_t M,
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int64_t N,
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int64_t K
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){
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dim3 block16(TILE, TILE);
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dim3 grid16((N + TILE - 1) / TILE, (M + TILE - 1) / TILE);
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MatMulShareBf16<<<grid16, block16>>>(A, B, C, M, N, K);
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}
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