#pragma once #include #include #include #include #include #include #define CEIL_DIV(M, N) (((M) + (N)-1) / (N)) namespace db { template __device__ void loadFromGmem(const int N, const int K, float *A, float *B, float *As, float *Bs, const int innerRowA, const int innerColA, const int innerRowB, const int innerColB) { for (uint offset = 0; offset + rowStrideA <= BM; offset += rowStrideA) { float4 tmp = reinterpret_cast( &A[(innerRowA + offset) * K + innerColA * 4])[0]; // transpose A while storing it As[(innerColA * 4 + 0) * BM + innerRowA + offset] = tmp.x; As[(innerColA * 4 + 1) * BM + innerRowA + offset] = tmp.y; As[(innerColA * 4 + 2) * BM + innerRowA + offset] = tmp.z; As[(innerColA * 4 + 3) * BM + innerRowA + offset] = tmp.w; } for (uint offset = 0; offset + rowStrideB <= BK; offset += rowStrideB) { reinterpret_cast( &Bs[(innerRowB + offset) * BN + innerColB * 4])[0] = reinterpret_cast( &B[(innerRowB + offset) * N + innerColB * 4])[0]; } } template __device__ void processFromSmem(float *regM, float *regN, float *threadResults, const float *As, const float *Bs, const uint warpRow, const uint warpCol, const uint threadRowInWarp, const uint threadColInWarp) { for (uint dotIdx = 0; dotIdx < BK; ++dotIdx) { // populate registers for whole warptile for (uint wSubRowIdx = 0; wSubRowIdx < WMITER; ++wSubRowIdx) { for (uint i = 0; i < TM; ++i) { regM[wSubRowIdx * TM + i] = As[(dotIdx * BM) + warpRow * WM + wSubRowIdx * WSUBM + threadRowInWarp * TM + i]; } } for (uint wSubColIdx = 0; wSubColIdx < WNITER; ++wSubColIdx) { for (uint i = 0; i < TN; ++i) { regN[wSubColIdx * TN + i] = Bs[(dotIdx * BN) + warpCol * WN + wSubColIdx * WSUBN + threadColInWarp * TN + i]; } } // execute warptile matmul for (uint wSubRowIdx = 0; wSubRowIdx < WMITER; ++wSubRowIdx) { for (uint wSubColIdx = 0; wSubColIdx < WNITER; ++wSubColIdx) { // calculate per-thread results for (uint resIdxM = 0; resIdxM < TM; ++resIdxM) { for (uint resIdxN = 0; resIdxN < TN; ++resIdxN) { threadResults[(wSubRowIdx * TM + resIdxM) * (WNITER * TN) + (wSubColIdx * TN) + resIdxN] += regM[wSubRowIdx * TM + resIdxM] * regN[wSubColIdx * TN + resIdxN]; } } } } } } } // namespace db template __global__ void __launch_bounds__(NUM_THREADS) sgemmDoubleBuffering(const int M, const int N, const int K, const float alpha, float *A, float *B, float beta, float *C) { const uint cRow = blockIdx.y; const uint cCol = blockIdx.x; // Placement of the warp in the threadblock tile const uint warpIdx = threadIdx.x / WARPSIZE; // the warp this thread is in const uint warpCol = warpIdx % (BN / WN); const uint warpRow = warpIdx / (BN / WN); // size of the warp subtile constexpr uint WMITER = (WM * WN) / (WARPSIZE * TM * TN * WNITER); constexpr uint WSUBM = WM / WMITER; // 64/2=32 constexpr uint WSUBN = WN / WNITER; // 32/2=16 // Placement of the thread in the warp subtile const uint threadIdxInWarp = threadIdx.x % WARPSIZE; // [0, 31] const uint threadColInWarp = threadIdxInWarp % (WSUBN / TN); // i%(16/4) const uint threadRowInWarp = threadIdxInWarp / (WSUBN / TN); // i/4 // allocate space for the current blocktile in SMEM __shared__ float As[2 * BM * BK]; __shared__ float Bs[2 * BK * BN]; // setup double buffering split bool doubleBufferIdx = threadIdx.x >= (NUM_THREADS / 2); // Move blocktile to beginning of A's row and B's column A += cRow * BM * K; B += cCol * BN; // Move C_ptr to warp's output tile C += (cRow * BM + warpRow * WM) * N + cCol * BN + warpCol * WN; // calculating the indices that this thread will load into SMEM // for the loading, we're pretending like there's half as many threads // as there actually are const uint innerRowA = (threadIdx.x % (NUM_THREADS / 2)) / (BK / 4); const uint innerColA = (threadIdx.x % (NUM_THREADS / 2)) % (BK / 4); constexpr uint rowStrideA = ((NUM_THREADS / 2) * 4) / BK; const uint innerRowB = (threadIdx.x % (NUM_THREADS / 2)) / (BN / 4); const uint innerColB = (threadIdx.x % (NUM_THREADS / 2)) % (BN / 4); constexpr uint rowStrideB = (NUM_THREADS / 2) / (BN / 4); // allocate thread-local cache for results in registerfile float threadResults[WMITER * TM * WNITER * TN] = {0.0}; // we cache into registers on the warptile level float regM[WMITER * TM] = {0.0}; float regN[WNITER * TN] = {0.0}; if (doubleBufferIdx == 0) { // load first (B0) db::loadFromGmem( N, K, A, B, As, Bs, innerRowA, innerColA, innerRowB, innerColB); } __syncthreads(); // outer-most loop over block tiles for (uint bkIdx = 0; bkIdx < K; bkIdx += 2 * BK) { if (doubleBufferIdx == 0) { // process current (B0) db::processFromSmem(regM, regN, threadResults, As, Bs, warpRow, warpCol, threadRowInWarp, threadColInWarp); __syncthreads(); // process current+1 (B1) if (bkIdx + BK < K) { db::processFromSmem(regM, regN, threadResults, As + (BM * BK), Bs + (BK * BN), warpRow, warpCol, threadRowInWarp, threadColInWarp); } __syncthreads(); // load current + 2 (B0) if (bkIdx + 2 * BK < K) { db::loadFromGmem( N, K, A + 2 * BK, B + 2 * BK * N, As, Bs, innerRowA, innerColA, innerRowB, innerColB); } } else { // load current + 1 (B1) if (bkIdx + BK < K) { db::loadFromGmem( N, K, A + BK, B + BK * N, As + (BM * BK), Bs + (BK * BN), innerRowA, innerColA, innerRowB, innerColB); } __syncthreads(); // process current (B0) db::processFromSmem(regM, regN, threadResults, As, Bs, warpRow, warpCol, threadRowInWarp, threadColInWarp); __syncthreads(); // process current+1 (B1) if (bkIdx + BK < K) { db::processFromSmem(regM, regN, threadResults, As + (BM * BK), Bs + (BK * BN), warpRow, warpCol, threadRowInWarp, threadColInWarp); } } A += 2 * BK; // move BK columns to right B += 2 * BK * N; // move BK rows down __syncthreads(); } // write out the results for (uint wSubRowIdx = 0; wSubRowIdx < WMITER; ++wSubRowIdx) { for (uint wSubColIdx = 0; wSubColIdx < WNITER; ++wSubColIdx) { // move C pointer to current warp subtile float *C_interim = C + (wSubRowIdx * WSUBM) * N + wSubColIdx * WSUBN; for (uint resIdxM = 0; resIdxM < TM; resIdxM += 1) { for (uint resIdxN = 0; resIdxN < TN; resIdxN += 4) { // load C vector into registers float4 tmp = reinterpret_cast( &C_interim[(threadRowInWarp * TM + resIdxM) * N + threadColInWarp * TN + resIdxN])[0]; // perform GEMM update in reg const int i = (wSubRowIdx * TM + resIdxM) * (WNITER * TN) + wSubColIdx * TN + resIdxN; tmp.x = alpha * threadResults[i + 0] + beta * tmp.x; tmp.y = alpha * threadResults[i + 1] + beta * tmp.y; tmp.z = alpha * threadResults[i + 2] + beta * tmp.z; tmp.w = alpha * threadResults[i + 3] + beta * tmp.w; // write back reinterpret_cast( &C_interim[(threadRowInWarp * TM + resIdxM) * N + threadColInWarp * TN + resIdxN])[0] = tmp; } } } } }