#pragma once #include #include #include #include #include #include #define CEIL_DIV(M, N) (((M) + (N)-1) / (N)) const int WARPSIZE = 32; // warpSize is not constexpr namespace wt { template __device__ void loadFromGmem(int N, int K, const float *A, const float *B, float *As, float *Bs, int innerRowA, int innerColA, int innerRowB, int innerColB) { for (uint offset = 0; offset + rowStrideA <= BM; offset += rowStrideA) { const float4 tmp = reinterpret_cast( &A[(innerRowA + offset) * K + innerColA * 4])[0]; // float4 tmp; // asm("ld.global.nc.v4.f32 {%0, %1, %2, %3}, [%4];" // : "=f"(tmp.x), "=f"(tmp.y), "=f"(tmp.z), "=f"(tmp.w) // : "l"(&A[(innerRowA + offset) * K + innerColA * 4])); 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]; // asm("ld.global.v4.f32 {%0, %1, %2, %3}, [%4];" // : "=f"(Bs[(innerRowB + offset) * BN + innerColB * 4 + 0]), // "=f"(Bs[(innerRowB + offset) * BN + innerColB * 4 + 1]), // "=f"(Bs[(innerRowB + offset) * BN + innerColB * 4 + 2]), // "=f"(Bs[(innerRowB + offset) * BN + innerColB * 4 + 3]) // : "l"(&B[(innerRowB + offset) * N + innerColB * 4])); } } 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 wt /* * @tparam BM The threadblock size for M dimension SMEM caching. * @tparam BN The threadblock size for N dimension SMEM caching. * @tparam BK The threadblock size for K dimension SMEM caching. * @tparam WM M dim of continuous tile computed by each warp * @tparam WN N dim of continuous tile computed by each warp * @tparam WMITER The number of subwarp tiling steps in M dimension. * @tparam WNITER The number of subwarp tiling steps in N dimension. * @tparam TM The per-thread tile size for M dimension. * @tparam TN The per-thread tile size for N dimension. */ template __global__ void __launch_bounds__(NUM_THREADS) sgemmWarptiling(int M, int N, int K, 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[BM * BK]; __shared__ float Bs[BK * BN]; // 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 // we'll load 128bit / 32bit = 4 elements per thread at each step const uint innerRowA = threadIdx.x / (BK / 4); const uint innerColA = threadIdx.x % (BK / 4); constexpr uint rowStrideA = (NUM_THREADS * 4) / BK; const uint innerRowB = threadIdx.x / (BN / 4); const uint innerColB = threadIdx.x % (BN / 4); constexpr uint rowStrideB = NUM_THREADS / (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}; // outer-most loop over block tiles for (uint bkIdx = 0; bkIdx < K; bkIdx += BK) { wt::loadFromGmem( N, K, A, B, As, Bs, innerRowA, innerColA, innerRowB, innerColB); __syncthreads(); wt::processFromSmem(regM, regN, threadResults, As, Bs, warpRow, warpCol, threadRowInWarp, threadColInWarp); A += BK; // move BK columns to right B += 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; } } } } }