#include "mat_mul.h" #include #include #include #include #include "util.h" #define MASTER 0 #define FROM_MASTER 1 #define FROM_WORKER 2 static float *A, *B, *C; static int M, N, K; static int num_threads; static int mpi_rank, mpi_world_size; //taskid, numtasks static int rows; static int min(int x, int y) { return x < y ? x : y; } #define ITILESIZE (32) #define JTILESIZE (1024) #define KTILESIZE (1024) static void mat_mul_omp() { #pragma omp parallel num_threads(num_threads) { int slice = rows / num_threads; int tid = omp_get_thread_num(); int is = slice * tid + min(tid , rows % num_threads); int ie = slice * (tid + 1) + min(tid + 1, rows % num_threads); for (int ii = is; ii < ie; ii += ITILESIZE) { for (int jj = 0; jj < N; jj += JTILESIZE) { for (int kk = 0; kk < K; kk += KTILESIZE) { for (int k = kk; k < min(K, kk + KTILESIZE); k++) { for (int i = ii; i < min(ie, ii + ITILESIZE); i++) { float ar = A[i * K + k]; for (int j = jj; j < min(N, jj + JTILESIZE); j+=1) { C[i * N + j] += ar * B[k * N + j]; } } } } } } } } 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) { M = _M, N = _N, K = _K; num_threads = _num_threads, mpi_rank = _mpi_rank, mpi_world_size = _mpi_world_size; // TODO: parallelize & optimize matrix multiplication on multi-node int averow, extra, dest; int offset, src; int numworkers, mtype; MPI_Status status; MPI_Request request; numworkers = mpi_world_size-1; averow = M/mpi_world_size; extra = M%mpi_world_size; rows = (mpi_rank == numworkers) ? averow+extra : averow; offset = averow; // WORKER initialize if (mpi_rank > 0) { // printf("\nI_%d\n", mpi_rank); alloc_mat(&A, rows, K); alloc_mat(&B, K, N); alloc_mat(&C, rows, N); zero_mat(C, rows, N); } // MASTER send to WORKER if (mpi_rank == 0) { A = _A, B = _B, C = _C; //order change upper->lower mtype = FROM_MASTER; for (dest=1; dest<=numworkers; dest++) { rows = (dest == numworkers) ? averow+extra : averow; MPI_Isend(&offset , 1 , MPI_INT, dest, mtype, MPI_COMM_WORLD, &request); MPI_Isend(&rows , 1 , MPI_INT, dest, mtype, MPI_COMM_WORLD, &request); MPI_Isend(&A[offset*K],rows*K, MPI_FLOAT, dest, mtype, MPI_COMM_WORLD, &request); MPI_Isend(&B[0] , K*N , MPI_FLOAT, dest, mtype, MPI_COMM_WORLD, &request); offset += rows; } } if (mpi_rank == 0) { mat_mul_omp(); } // MASTER rcv from WORKER if (mpi_rank == 0) { mtype = FROM_WORKER; for (src=1; src<=numworkers; src++) { MPI_Recv(&offset, 1, MPI_INT, src , mtype, MPI_COMM_WORLD, &status); MPI_Recv(&rows , 1, MPI_INT, src , mtype, MPI_COMM_WORLD, &status); MPI_Recv(&C[offset*N], rows*N, MPI_FLOAT, src , mtype, MPI_COMM_WORLD, &status); } rows = averow; } //MPI_Barrier(MPI_COMM_WORLD, &request); ///////////////////////////////////////////////// // WORKER rcv from MASTER if (mpi_rank > 0) { mtype = FROM_MASTER; MPI_Recv(&offset, 1, MPI_INT, MASTER , mtype, MPI_COMM_WORLD, &status); MPI_Recv(&rows , 1, MPI_INT, MASTER , mtype, MPI_COMM_WORLD, &status); MPI_Recv(&A[0] , rows*K, MPI_FLOAT, MASTER , mtype, MPI_COMM_WORLD, &status); MPI_Recv(&B[0] , K*N, MPI_FLOAT, MASTER , mtype, MPI_COMM_WORLD, &status); #pragma omp parallel num_threads(num_threads) { int slice = rows / num_threads; int tid = omp_get_thread_num(); int is = slice * tid + min(tid , rows % num_threads); int ie = slice * (tid + 1) + min(tid + 1, rows % num_threads); for (int ii = is; ii < ie; ii += ITILESIZE) { for (int jj = 0; jj < N; jj += JTILESIZE) { for (int kk = 0; kk < K; kk += KTILESIZE) { for (int k = kk; k < min(K, kk + KTILESIZE); k++) { for (int i = ii; i < min(ie, ii + ITILESIZE); i++) { float ar = A[i * K + k]; for (int j = jj; j < min(N, jj + JTILESIZE); j+=1) { C[i * N + j] += ar * B[k * N + j]; } } } } } } } // WORKER send to MASTER mtype = FROM_WORKER; MPI_Isend(&offset, 1 , MPI_INT, MASTER, mtype, MPI_COMM_WORLD, &request); MPI_Isend(&rows , 1 , MPI_INT, MASTER, mtype, MPI_COMM_WORLD, &request); MPI_Isend(&C[0] , rows*N, MPI_FLOAT, MASTER, mtype, MPI_COMM_WORLD, &request); } // FIXME: for now, only root process runs the matrix multiplication. //if (mpi_rank == 0) // mat_mul_omp(); }