#include "mat_mul.h" #include #include #include #include "util.h" static float *A, *B, *C; static int M, N, K; static int num_threads; static int mpi_rank, mpi_world_size; static int rows[4] = {0,}; static int offset[4] = {0,}; #define TILEM 32 #define TILEK 16 #define TILEN 2048 static void mat_mul_omp() { int start = 0; int end = rows[mpi_rank]; // TODO: parallelize & optimize matrix multiplication // Use num_threads per node #pragma omp parallel for num_threads(num_threads) schedule(dynamic) for (int ii = start; ii < end; ii += TILEM) { for (int kk = 0; kk < K; kk += TILEK) { for (int jj = 0; jj < N; jj += TILEN) { int ek = kk + TILEK < K ? (kk + TILEK) : K; int em = ii + TILEM < M ? (ii + TILEM) : M; int en = jj + TILEN < N ? (jj + TILEN) : N; for (int i = ii; i < em ; ++i) { for (int k = kk; k < ek; ++k) { for (int j = jj; j < en; ++j) { C[i * N + j] += A[i * K + k] * B[k * N + j]; } // for j } // for kk } // for i } // for jj } // for kk } // for ii } void mat_mul(float *_A, float *_B, float *_C, int _M, int _N, int _K, int _num_threads, int _mpi_rank, int _mpi_world_size) { A = _A, B = _B, C = _C; M = _M, N = _N, K = _K; num_threads = _num_threads, mpi_rank = _mpi_rank, mpi_world_size = _mpi_world_size; MPI_Request request; MPI_Status status; // TODO: parallelize & optimize matrix multiplication on multi-node // You must allocate & initialize A, B, C for non-root processes int num_row = M / mpi_world_size; for (int i = 0 ; i < mpi_world_size ; i++) { rows[i] = (i == mpi_world_size - 1) ? (M - (num_row * (mpi_world_size - 1))): num_row; } for (int i = 0 ; i < mpi_world_size - 1 ; i++) { offset[i + 1] = offset[i] + rows[i]; } if (mpi_rank != 0) { M = rows[mpi_rank]; alloc_mat(&A, rows[mpi_rank], K); alloc_mat(&B, K, N); alloc_mat(&C, rows[mpi_rank], N); } MPI_Bcast(B, K * N, MPI_FLOAT, 0, MPI_COMM_WORLD); if (mpi_rank == 0) { for (int i = 1 ; i < mpi_world_size ; i++) MPI_Isend(&A[offset[i] * K], rows[i] * K, MPI_FLOAT, i, 0, MPI_COMM_WORLD, &request); } else { MPI_Recv(A, rows[mpi_rank] * K , MPI_FLOAT, 0, 0, MPI_COMM_WORLD, &status); } mat_mul_omp(); if (mpi_rank == 0) { for (int i = 1 ; i < mpi_world_size ; i++) { MPI_Recv(&C[offset[i] * N], rows[i] * N , MPI_FLOAT, i, 0, MPI_COMM_WORLD, &status); } } else { MPI_Isend(C, rows[mpi_rank] * N, MPI_FLOAT, 0, 0, MPI_COMM_WORLD, &request); } }