/* StarPU --- Runtime system for heterogeneous multicore architectures. * * Copyright (C) 2010-2021 Université de Bordeaux, CNRS (LaBRI UMR 5800), Inria * * StarPU is free software; you can redistribute it and/or modify * it under the terms of the GNU Lesser General Public License as published by * the Free Software Foundation; either version 2.1 of the License, or (at * your option) any later version. * * StarPU is distributed in the hope that it will be useful, but * WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. * * See the GNU Lesser General Public License in COPYING.LGPL for more details. */ #include #include #include #include /* * Conjugate Gradient * * Input: * - matrix A * - vector b * - vector x (starting value) * - int i_max, error tolerance eps < 1. * Ouput: * - vector x * * Pseudo code: * * i <- 0 * r <- b - Ax * d <- r * delta_new <- dot(r,r) * delta_0 <- delta_new * * while (i < i_max && delta_new > eps^2 delta_0) * { * q <- Ad * alpha <- delta_new/dot(d, q) * x <- x + alpha d * * If (i is divisible by 50) * r <- b - Ax * else * r <- r - alpha q * * delta_old <- delta_new * delta_new <- dot(r,r) * beta <- delta_new/delta_old * d <- r + beta d * i <- i + 1 * } * * The dot() operations makes use of reduction to optimize parallelism. * */ #include "cg.h" static int copy_handle(starpu_data_handle_t dst, starpu_data_handle_t src, unsigned nblocks); #define HANDLE_TYPE_VECTOR starpu_data_handle_t #define HANDLE_TYPE_MATRIX starpu_data_handle_t #define TASK_INSERT(cl, ...) starpu_task_insert(cl, ##__VA_ARGS__) #define GET_VECTOR_BLOCK(v, i) starpu_data_get_sub_data(v, 1, i) #define GET_MATRIX_BLOCK(m, i, j) starpu_data_get_sub_data(m, 2, i, j) #define BARRIER() #define GET_DATA_HANDLE(handle) #define FPRINTF_SERVER FPRINTF #include "cg_kernels.c" static TYPE *A, *b, *x; static TYPE *r, *d, *q; static int copy_handle(starpu_data_handle_t dst, starpu_data_handle_t src, unsigned nblocks) { unsigned b; for (b = 0; b < nblocks; b++) starpu_data_cpy(starpu_data_get_sub_data(dst, 1, b), starpu_data_get_sub_data(src, 1, b), 1, NULL, NULL); return 0; } /* * Generate Input data */ static void generate_random_problem(void) { int i, j; starpu_malloc((void **)&A, n*n*sizeof(TYPE)); starpu_malloc((void **)&b, n*sizeof(TYPE)); starpu_malloc((void **)&x, n*sizeof(TYPE)); assert(A && b && x); for (j = 0; j < n; j++) { b[j] = (TYPE)1.0; x[j] = (TYPE)0.0; /* We take Hilbert matrix that is not well conditionned but definite positive: H(i,j) = 1/(1+i+j) */ for (i = 0; i < n; i++) { A[n*j + i] = (TYPE)(1.0/(1.0+i+j)); } } /* Internal vectors */ starpu_malloc((void **)&r, n*sizeof(TYPE)); starpu_malloc((void **)&d, n*sizeof(TYPE)); starpu_malloc((void **)&q, n*sizeof(TYPE)); assert(r && d && q); memset(r, 0, n*sizeof(TYPE)); memset(d, 0, n*sizeof(TYPE)); memset(q, 0, n*sizeof(TYPE)); } static void free_data(void) { starpu_free(A); starpu_free(b); starpu_free(x); starpu_free(r); starpu_free(d); starpu_free(q); } static void register_data(void) { starpu_matrix_data_register(&A_handle, STARPU_MAIN_RAM, (uintptr_t)A, n, n, n, sizeof(TYPE)); starpu_vector_data_register(&b_handle, STARPU_MAIN_RAM, (uintptr_t)b, n, sizeof(TYPE)); starpu_vector_data_register(&x_handle, STARPU_MAIN_RAM, (uintptr_t)x, n, sizeof(TYPE)); starpu_vector_data_register(&r_handle, STARPU_MAIN_RAM, (uintptr_t)r, n, sizeof(TYPE)); starpu_vector_data_register(&d_handle, STARPU_MAIN_RAM, (uintptr_t)d, n, sizeof(TYPE)); starpu_vector_data_register(&q_handle, STARPU_MAIN_RAM, (uintptr_t)q, n, sizeof(TYPE)); starpu_variable_data_register(&dtq_handle, STARPU_MAIN_RAM, (uintptr_t)&dtq, sizeof(TYPE)); starpu_variable_data_register(&rtr_handle, STARPU_MAIN_RAM, (uintptr_t)&rtr, sizeof(TYPE)); if (use_reduction) { starpu_data_set_reduction_methods(q_handle, &accumulate_vector_cl, &bzero_vector_cl); starpu_data_set_reduction_methods(r_handle, &accumulate_vector_cl, &bzero_vector_cl); starpu_data_set_reduction_methods(dtq_handle, &accumulate_variable_cl, &bzero_variable_cl); starpu_data_set_reduction_methods(rtr_handle, &accumulate_variable_cl, &bzero_variable_cl); } } static void unregister_data(void) { starpu_data_unpartition(A_handle, STARPU_MAIN_RAM); starpu_data_unpartition(b_handle, STARPU_MAIN_RAM); starpu_data_unpartition(x_handle, STARPU_MAIN_RAM); starpu_data_unpartition(r_handle, STARPU_MAIN_RAM); starpu_data_unpartition(d_handle, STARPU_MAIN_RAM); starpu_data_unpartition(q_handle, STARPU_MAIN_RAM); starpu_data_unregister(A_handle); starpu_data_unregister(b_handle); starpu_data_unregister(x_handle); starpu_data_unregister(r_handle); starpu_data_unregister(d_handle); starpu_data_unregister(q_handle); starpu_data_unregister(dtq_handle); starpu_data_unregister(rtr_handle); } /* * Data partitioning filters */ struct starpu_data_filter vector_filter; struct starpu_data_filter matrix_filter_1; struct starpu_data_filter matrix_filter_2; static void partition_data(void) { assert(n % nblocks == 0); /* * Partition the A matrix */ /* Partition into contiguous parts */ matrix_filter_1.filter_func = starpu_matrix_filter_block; matrix_filter_1.nchildren = nblocks; /* Partition into non-contiguous parts */ matrix_filter_2.filter_func = starpu_matrix_filter_vertical_block; matrix_filter_2.nchildren = nblocks; /* A is in FORTRAN ordering, starpu_data_get_sub_data(A_handle, 2, i, * j) designates the block in column i and row j. */ starpu_data_map_filters(A_handle, 2, &matrix_filter_1, &matrix_filter_2); /* * Partition the vectors */ vector_filter.filter_func = starpu_vector_filter_block; vector_filter.nchildren = nblocks; starpu_data_partition(b_handle, &vector_filter); starpu_data_partition(x_handle, &vector_filter); starpu_data_partition(r_handle, &vector_filter); starpu_data_partition(d_handle, &vector_filter); starpu_data_partition(q_handle, &vector_filter); } /* * Debug */ #if 0 static void display_vector(starpu_data_handle_t handle, TYPE *ptr) { unsigned block_size = n / nblocks; unsigned b, ind; for (b = 0; b < nblocks; b++) { starpu_data_acquire(starpu_data_get_sub_data(handle, 1, b), STARPU_R); for (ind = 0; ind < block_size; ind++) { FPRINTF(stderr, "%2.2e ", ptr[b*block_size + ind]); } FPRINTF(stderr, "| "); starpu_data_release(starpu_data_get_sub_data(handle, 1, b)); } FPRINTF(stderr, "\n"); } static void display_matrix(void) { unsigned i, j; for (i = 0; i < n; i++) { for (j = 0; j < n; j++) { FPRINTF(stderr, "%2.2e ", A[j*n + i]); } FPRINTF(stderr, "\n"); } } #endif static void display_x_result(void) { int j, i; starpu_data_handle_t sub; FPRINTF(stderr, "Computed X vector:\n"); int block_size = n / nblocks; for (j = 0; j < nblocks; j++) { sub = starpu_data_get_sub_data(x_handle, 1, j); starpu_data_acquire(sub, STARPU_R); for (i = 0; i < block_size; i++) { FPRINTF(stderr, "% 02.2e\n", x[j*block_size + i]); } starpu_data_release(sub); } } static void parse_args(int argc, char **argv) { int i; for (i = 1; i < argc; i++) { if (strcmp(argv[i], "-h") == 0 || strcmp(argv[i], "--help") == 0 || strcmp(argv[i], "-help") == 0) { FPRINTF_SERVER(stderr, "usage: %s [-h] [-nblocks #blocks] [-display-result] [-n problem_size] [-no-reduction] [-maxiter i]\n", argv[0]); exit(-1); } } parse_common_args(argc, argv); } int main(int argc, char **argv) { int ret; double start, end; /* Not supported yet */ if (starpu_get_env_number_default("STARPU_GLOBAL_ARBITER", 0) > 0) return 77; parse_args(argc, argv); ret = starpu_init(NULL); if (ret == -ENODEV) return 77; STARPU_CHECK_RETURN_VALUE(ret, "starpu_init"); starpu_cublas_init(); FPRINTF(stderr, "************** PARAMETERS ***************\n"); FPRINTF(stderr, "Problem size (-n): %lld\n", n); FPRINTF(stderr, "Maximum number of iterations (-maxiter): %d\n", i_max); FPRINTF(stderr, "Number of blocks (-nblocks): %d\n", nblocks); FPRINTF(stderr, "Reduction (-no-reduction): %s\n", use_reduction ? "enabled" : "disabled"); start = starpu_timing_now(); generate_random_problem(); register_data(); partition_data(); end = starpu_timing_now(); FPRINTF(stderr, "Problem intialization timing : %2.2f seconds\n", (end-start)/10e6); ret = cg(); if (ret == -ENODEV) { ret = 77; goto enodev; } starpu_task_wait_for_all(); if (display_result) { display_x_result(); } enodev: unregister_data(); free_data(); starpu_cublas_shutdown(); starpu_shutdown(); return ret; }