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- /* StarPU --- Runtime system for heterogeneous multicore architectures.
- *
- * Copyright (C) 2008-2020 Université de Bordeaux, CNRS (LaBRI UMR 5800), Inria
- * Copyright (C) 2010 Mehdi Juhoor
- * Copyright (C) 2013 Thibaut Lambert
- *
- * 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.
- */
- /*
- * This version of the Cholesky factorization uses explicit dependency
- * declaration through dependency tags.
- * It also uses data partitioning to split the matrix into submatrices
- */
- /* Note: this is using fortran ordering, i.e. column-major ordering, i.e.
- * elements with consecutive row number are consecutive in memory */
- #include "cholesky.h"
- #include <starpu_perfmodel.h>
- #if defined(STARPU_USE_CUDA) && defined(STARPU_HAVE_MAGMA)
- #include "magma.h"
- #endif
- /*
- * Some useful functions
- */
- static struct starpu_task *create_task(starpu_tag_t id)
- {
- struct starpu_task *task = starpu_task_create();
- task->cl_arg = NULL;
- task->use_tag = 1;
- task->tag_id = id;
- return task;
- }
- /*
- * Create the codelets
- */
- static struct starpu_task * create_task_11(starpu_data_handle_t dataA, unsigned k)
- {
- /* FPRINTF(stdout, "task 11 k = %d TAG = %llx\n", k, (TAG11(k))); */
- struct starpu_task *task = create_task(TAG11(k));
- task->cl = &cl11;
- /* which sub-data is manipulated ? */
- task->handles[0] = starpu_data_get_sub_data(dataA, 2, k, k);
- /* this is an important task */
- if (!noprio_p)
- task->priority = STARPU_MAX_PRIO;
- /* enforce dependencies ... */
- if (k > 0)
- {
- starpu_tag_declare_deps(TAG11(k), 1, TAG22(k-1, k, k));
- }
- int n = starpu_matrix_get_nx(task->handles[0]);
- task->flops = FLOPS_SPOTRF(n);
- return task;
- }
- static int create_task_21(starpu_data_handle_t dataA, unsigned k, unsigned m)
- {
- int ret;
- struct starpu_task *task = create_task(TAG21(k, m));
- task->cl = &cl21;
- /* which sub-data is manipulated ? */
- task->handles[0] = starpu_data_get_sub_data(dataA, 2, k, k);
- task->handles[1] = starpu_data_get_sub_data(dataA, 2, m, k);
- if (!noprio_p && (m == k+1))
- {
- task->priority = STARPU_MAX_PRIO;
- }
- /* enforce dependencies ... */
- if (k > 0)
- {
- starpu_tag_declare_deps(TAG21(k, m), 2, TAG11(k), TAG22(k-1, m, k));
- }
- else
- {
- starpu_tag_declare_deps(TAG21(k, m), 1, TAG11(k));
- }
- int nx = starpu_matrix_get_nx(task->handles[0]);
- task->flops = FLOPS_STRSM(nx, nx);
- ret = starpu_task_submit(task);
- if (ret != -ENODEV) STARPU_CHECK_RETURN_VALUE(ret, "starpu_task_submit");
- return ret;
- }
- static int create_task_22(starpu_data_handle_t dataA, unsigned k, unsigned m, unsigned n)
- {
- int ret;
- /* FPRINTF(stdout, "task 22 k,n,m = %d,%d,%d TAG = %llx\n", k,m,n, TAG22(k,m,n)); */
- struct starpu_task *task = create_task(TAG22(k, m, n));
- task->cl = &cl22;
- /* which sub-data is manipulated ? */
- task->handles[0] = starpu_data_get_sub_data(dataA, 2, n, k);
- task->handles[1] = starpu_data_get_sub_data(dataA, 2, m, k);
- task->handles[2] = starpu_data_get_sub_data(dataA, 2, m, n);
- if (!noprio_p && (n == k + 1) && (m == k +1) )
- {
- task->priority = STARPU_MAX_PRIO;
- }
- /* enforce dependencies ... */
- if (k > 0)
- {
- starpu_tag_declare_deps(TAG22(k, m, n), 3, TAG22(k-1, m, n), TAG21(k, n), TAG21(k, m));
- }
- else
- {
- starpu_tag_declare_deps(TAG22(k, m, n), 2, TAG21(k, n), TAG21(k, m));
- }
- int nx = starpu_matrix_get_nx(task->handles[0]);
- task->flops = FLOPS_SGEMM(nx, nx, nx);
- ret = starpu_task_submit(task);
- if (ret != -ENODEV) STARPU_CHECK_RETURN_VALUE(ret, "starpu_task_submit");
- return ret;
- }
- /*
- * code to bootstrap the factorization
- * and construct the DAG
- */
- static int _cholesky(starpu_data_handle_t dataA, unsigned nblocks)
- {
- int ret;
- double start;
- double end;
- struct starpu_task *entry_task = NULL;
- /* create all the DAG nodes */
- unsigned k, m, n;
- start = starpu_timing_now();
- for (k = 0; k < nblocks; k++)
- {
- starpu_iteration_push(k);
- struct starpu_task *task = create_task_11(dataA, k);
- /* we defer the launch of the first task */
- if (k == 0)
- {
- entry_task = task;
- }
- else
- {
- ret = starpu_task_submit(task);
- if (ret == -ENODEV)
- {
- starpu_data_unpartition(dataA, STARPU_MAIN_RAM);
- return 77;
- }
- STARPU_CHECK_RETURN_VALUE(ret, "starpu_task_submit");
- }
- for (m = k+1; m<nblocks; m++)
- {
- ret = create_task_21(dataA, k, m);
- if (ret == -ENODEV)
- {
- starpu_data_unpartition(dataA, STARPU_MAIN_RAM);
- return 77;
- }
- for (n = k+1; n<nblocks; n++)
- {
- if (n <= m)
- {
- ret = create_task_22(dataA, k, m, n);
- if (ret == -ENODEV)
- {
- starpu_data_unpartition(dataA, STARPU_MAIN_RAM);
- return 77;
- }
- }
- }
- }
- starpu_iteration_pop();
- }
- /* schedule the codelet */
- ret = starpu_task_submit(entry_task);
- if (ret == -ENODEV) return 77;
- STARPU_CHECK_RETURN_VALUE(ret, "starpu_task_submit");
- /* stall the application until the end of computations */
- starpu_tag_wait(TAG11(nblocks-1));
- starpu_data_unpartition(dataA, STARPU_MAIN_RAM);
- end = starpu_timing_now();
- double timing = end - start;
- unsigned nx = starpu_matrix_get_nx(dataA);
- double flop = (1.0f*nx*nx*nx)/3.0f;
- PRINTF("# size\tms\tGFlops\n");
- PRINTF("%u\t%.0f\t%.1f\n", nx, timing/1000, (flop/timing/1000.0f));
- return 0;
- }
- static int initialize_system(int argc, char **argv, float **A, unsigned pinned)
- {
- int ret;
- int flags = STARPU_MALLOC_SIMULATION_FOLDED;
- #ifdef STARPU_HAVE_MAGMA
- magma_init();
- #endif
- ret = starpu_init(NULL);
- if (ret == -ENODEV)
- return 77;
- STARPU_CHECK_RETURN_VALUE(ret, "starpu_init");
- init_sizes();
- parse_args(argc, argv);
- #ifdef STARPU_USE_CUDA
- initialize_chol_model(&chol_model_11,"chol_model_11",cpu_chol_task_11_cost,cuda_chol_task_11_cost);
- initialize_chol_model(&chol_model_21,"chol_model_21",cpu_chol_task_21_cost,cuda_chol_task_21_cost);
- initialize_chol_model(&chol_model_22,"chol_model_22",cpu_chol_task_22_cost,cuda_chol_task_22_cost);
- #else
- initialize_chol_model(&chol_model_11,"chol_model_11",cpu_chol_task_11_cost,NULL);
- initialize_chol_model(&chol_model_21,"chol_model_21",cpu_chol_task_21_cost,NULL);
- initialize_chol_model(&chol_model_22,"chol_model_22",cpu_chol_task_22_cost,NULL);
- #endif
- starpu_cublas_init();
- if (pinned)
- flags |= STARPU_MALLOC_PINNED;
- starpu_malloc_flags((void **)A, size_p*size_p*sizeof(float), flags);
- return 0;
- }
- static int cholesky(float *matA, unsigned size, unsigned ld, unsigned nblocks)
- {
- starpu_data_handle_t dataA;
- int ret;
- /* monitor and partition the A matrix into blocks :
- * one block is now determined by 2 unsigned (m,n) */
- starpu_matrix_data_register(&dataA, STARPU_MAIN_RAM, (uintptr_t)matA, ld, size, size, sizeof(float));
- starpu_data_set_sequential_consistency_flag(dataA, 0);
- /* Split into blocks of complete rows first */
- struct starpu_data_filter f =
- {
- .filter_func = starpu_matrix_filter_block,
- .nchildren = nblocks
- };
- /* Then split rows into tiles */
- struct starpu_data_filter f2 =
- {
- /* Note: here "vertical" is for row-major, we are here using column-major. */
- .filter_func = starpu_matrix_filter_vertical_block,
- .nchildren = nblocks
- };
- starpu_data_map_filters(dataA, 2, &f, &f2);
- ret = _cholesky(dataA, nblocks);
- starpu_data_unregister(dataA);
- return ret;
- }
- static void shutdown_system(float **matA, unsigned dim, unsigned pinned)
- {
- int flags = STARPU_MALLOC_SIMULATION_FOLDED;
- if (pinned)
- flags |= STARPU_MALLOC_PINNED;
- starpu_free_flags(*matA, dim*dim*sizeof(float), flags);
- starpu_cublas_shutdown();
- starpu_shutdown();
- }
- int main(int argc, char **argv)
- {
- /* create a simple definite positive symetric matrix example
- *
- * Hilbert matrix : h(i,j) = 1/(i+j+1)
- * */
- float *mat = NULL;
- int ret = initialize_system(argc, argv, &mat, pinned_p);
- if (ret) return ret;
- #ifndef STARPU_SIMGRID
- unsigned m,n;
- for (n = 0; n < size_p; n++)
- {
- for (m = 0; m < size_p; m++)
- {
- mat[m +n*size_p] = (1.0f/(1.0f+n+m)) + ((n == m)?1.0f*size_p:0.0f);
- /* mat[m +n*size_p] = ((n == m)?1.0f*size_p:0.0f); */
- }
- }
- /* #define PRINT_OUTPUT */
- #ifdef PRINT_OUTPUT
- FPRINTF(stdout, "Input :\n");
- for (m = 0; m < size_p; m++)
- {
- for (n = 0; n < size_p; n++)
- {
- if (n <= m)
- {
- FPRINTF(stdout, "%2.2f\t", mat[m +n*size_p]);
- }
- else
- {
- FPRINTF(stdout, ".\t");
- }
- }
- FPRINTF(stdout, "\n");
- }
- #endif
- #endif
- ret = cholesky(mat, size_p, size_p, nblocks_p);
- #ifndef STARPU_SIMGRID
- #ifdef PRINT_OUTPUT
- FPRINTF(stdout, "Results :\n");
- for (m = 0; m < size_p; m++)
- {
- for (n = 0; n < size_p; n++)
- {
- if (n <= m)
- {
- FPRINTF(stdout, "%2.2f\t", mat[m +n*size_p]);
- }
- else
- {
- FPRINTF(stdout, ".\t");
- }
- }
- FPRINTF(stdout, "\n");
- }
- #endif
- if (check_p)
- {
- FPRINTF(stderr, "compute explicit LLt ...\n");
- for (m = 0; m < size_p; m++)
- {
- for (n = 0; n < size_p; n++)
- {
- if (n > m)
- {
- mat[m+n*size_p] = 0.0f; /* debug */
- }
- }
- }
- float *test_mat = malloc(size_p*size_p*sizeof(float));
- STARPU_ASSERT(test_mat);
- STARPU_SSYRK("L", "N", size_p, size_p, 1.0f,
- mat, size_p, 0.0f, test_mat, size_p);
- FPRINTF(stderr, "comparing results ...\n");
- #ifdef PRINT_OUTPUT
- for (m = 0; m < size_p; m++)
- {
- for (n = 0; n < size_p; n++)
- {
- if (n <= m)
- {
- FPRINTF(stdout, "%2.2f\t", test_mat[m +n*size_p]);
- }
- else
- {
- FPRINTF(stdout, ".\t");
- }
- }
- FPRINTF(stdout, "\n");
- }
- #endif
- for (m = 0; m < size_p; m++)
- {
- for (n = 0; n < size_p; n++)
- {
- if (n <= m)
- {
- float orig = (1.0f/(1.0f+m+n)) + ((m == n)?1.0f*size_p:0.0f);
- float err = fabsf(test_mat[m +n*size_p] - orig) / orig;
- if (err > 0.0001)
- {
- FPRINTF(stderr, "Error[%u, %u] --> %2.6f != %2.6f (err %2.6f)\n", m, n, test_mat[m +n*size_p], orig, err);
- assert(0);
- }
- }
- }
- }
- free(test_mat);
- }
- #endif
- shutdown_system(&mat, size_p, pinned_p);
- return ret;
- }
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