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							- /* StarPU --- Runtime system for heterogeneous multicore architectures.
 
-  *
 
-  * Copyright (C) 2009-2020  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 can include an
 
-  * externally-compiler-generated loop nest, which allows to play with
 
-  * compiler-side optimizations.
 
-  */
 
- /* 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 "../sched_ctx_utils/sched_ctx_utils.h"
 
- #include <math.h>
 
- #if defined(STARPU_USE_CUDA) && defined(STARPU_HAVE_MAGMA)
 
- #include "magma.h"
 
- #endif
 
- /*
 
-  *	code to bootstrap the factorization
 
-  *	and construct the DAG
 
-  */
 
- static void callback_turn_spmd_on(void *arg)
 
- {
 
- 	(void)arg;
 
- 	cl22.type = STARPU_SPMD;
 
- }
 
- static int _cholesky(starpu_data_handle_t dataA, unsigned nblocks)
 
- {
 
- 	double start;
 
- 	double end;
 
- 	unsigned long nelems = starpu_matrix_get_nx(dataA);
 
- 	unsigned long nn = nelems/nblocks;
 
- 	int M = nblocks;
 
- 	int N = nblocks;
 
- 	int lambda_b = starpu_get_env_float_default("CHOLESKY_LAMBDA_B", nblocks);
 
- 	int lambda_o_u = starpu_get_env_float_default("CHOLESKY_LAMBDA_O_U", 0);
 
- 	int lambda_o_d = starpu_get_env_float_default("CHOLESKY_LAMBDA_O_D", 0);
 
- 	unsigned unbound_prio = STARPU_MAX_PRIO == INT_MAX && STARPU_MIN_PRIO == INT_MIN;
 
- 	if (bound_p || bound_lp_p || bound_mps_p)
 
- 		starpu_bound_start(bound_deps_p, 0);
 
- 	starpu_fxt_start_profiling();
 
- 	start = starpu_timing_now();
 
- #define min(x,y)  (x<y?x:y)
 
- #define max(x,y)  (x<y?y:x)
 
- #define ceild(n,d)  ceil(((double)(n))/((double)(d)))
 
- #define floord(n,d) floor(((double)(n))/((double)(d)))
 
- #define A(i,j) starpu_data_get_sub_data(dataA, 2, i, j)
 
- #define _POTRF(cl, A, prio, name) do { \
 
- 		int ret = starpu_task_insert(cl, \
 
- 					 STARPU_PRIORITY, noprio_p ? STARPU_DEFAULT_PRIO : unbound_prio ? (int) (prio) : (int) STARPU_MAX_PRIO, \
 
- 					 STARPU_RW, A, \
 
- 					 STARPU_FLOPS, (double) FLOPS_SPOTRF(nn), \
 
- 					 STARPU_NAME, name, \
 
- 					 0); \
 
- 		if (ret == -ENODEV) return 77; \
 
- 		STARPU_CHECK_RETURN_VALUE(ret, "starpu_task_insert"); \
 
- } while (0)
 
- #define _TRSM(cl, A, B, prio, name) do { \
 
- 		int ret = starpu_task_insert(cl, \
 
- 					 STARPU_PRIORITY, noprio_p ? STARPU_DEFAULT_PRIO : unbound_prio ? (int) (prio) : (int) STARPU_DEFAULT_PRIO, \
 
- 					 STARPU_R, A, \
 
- 					 STARPU_RW, B, \
 
- 					 STARPU_FLOPS, (double) FLOPS_STRSM(nn,nn), \
 
- 					 STARPU_NAME, name, \
 
- 					 0); \
 
- 		if (ret == -ENODEV) return 77; \
 
- 		STARPU_CHECK_RETURN_VALUE(ret, "starpu_task_insert"); \
 
- } while (0)
 
- /* TODO: use real SYRK */
 
- #define _SYRK(cl, A, C, prio, name) do { \
 
- 		int ret = starpu_task_insert(cl, \
 
- 					 STARPU_PRIORITY, noprio_p ? STARPU_DEFAULT_PRIO : unbound_prio ? (int) (prio) : (int) STARPU_DEFAULT_PRIO, \
 
- 					 STARPU_R, A, \
 
- 					 STARPU_R, A, \
 
- 					 STARPU_RW, C, \
 
- 					 STARPU_FLOPS, (double) FLOPS_SGEMM(nn,nn,nn), \
 
- 					 STARPU_NAME, name, \
 
- 					 0); \
 
- 		if (ret == -ENODEV) return 77; \
 
- 		STARPU_CHECK_RETURN_VALUE(ret, "starpu_task_insert"); \
 
- } while (0)
 
- #define _GEMM(cl, A, B, C, prio, name) do { \
 
- 		int ret = starpu_task_insert(cl, \
 
- 					 STARPU_PRIORITY, noprio_p ? STARPU_DEFAULT_PRIO : unbound_prio ? (int) (prio) : (int) STARPU_DEFAULT_PRIO, \
 
- 					 STARPU_R, A, \
 
- 					 STARPU_R, B, \
 
- 					 STARPU_RW, C, \
 
- 					 STARPU_FLOPS, (double) FLOPS_SGEMM(nn,nn,nn), \
 
- 					 STARPU_NAME, name, \
 
- 					 0); \
 
- 		if (ret == -ENODEV) return 77; \
 
- 		STARPU_CHECK_RETURN_VALUE(ret, "starpu_task_insert"); \
 
- } while (0)
 
- #define POTRF(A, prio)		_POTRF(&cl11, A, prio, "potrf")
 
- #define TRSM(A, B, prio)	_TRSM(&cl21, A, B, prio, "trsm")
 
- #define SYRK(A, B, prio)	_SYRK(&cl22, A, B, prio, "syrk")
 
- #define GEMM(A, B, C, prio)	_GEMM(&cl22, A, B, C, prio, "gemm")
 
- #define POTRF_GPU(A, prio)	_POTRF(&cl11_gpu, A, prio, "potrf_gpu")
 
- #define TRSM_GPU(A, B, prio)	_TRSM(&cl21_gpu, A, B, prio, "trsm_gpu")
 
- #define SYRK_GPU(A, B, prio)	_SYRK(&cl22_gpu, A, B, prio, "syrk_gpu")
 
- #define GEMM_GPU(A, B, C, prio)	_GEMM(&cl22_gpu, A, B, C, prio, "gemm_gpu")
 
- #define POTRF_CPU(A, prio)	_POTRF(&cl11_cpu, A, prio, "potrf_cpu")
 
- #define TRSM_CPU(A, B, prio)	_TRSM(&cl21_cpu, A, B, prio, "trsm_cpu")
 
- #define SYRK_CPU(A, B, prio)	_SYRK(&cl22_cpu, A, B, prio, "syrk_cpu")
 
- #define GEMM_CPU(A, B, C, prio)	_GEMM(&cl22_cpu, A, B, C, prio, "gemm_cpu")
 
- #define potrf_oreille_up(k)		{ POTRF_GPU(A(k,k),(2*N - 2*k)); }
 
- #define potrf_oreille_down(k)		{ POTRF_GPU(A(k,k),(2*N - 2*k)); }
 
- #define potrf_cpu(k)			{ POTRF_CPU(A(k,k),(2*N - 2*k)); }
 
- #define potrf_bande(k)			{ POTRF(A(k,k),(2*N - 2*k)); }
 
- #define trsm_oreille_up(k,m)		{ TRSM_GPU(A(k,k),A(m,k), (2*nblocks - 2*k - m)); }
 
- #define trsm_oreille_down(k,m)		{ TRSM_GPU(A(k,k),A(m,k), (2*nblocks - 2*k - m)); }
 
- #define trsm_cpu(k,m)			{ TRSM_CPU(A(k,k),A(m,k), (2*nblocks - 2*k - m)); }
 
- #define trsm_bande(k,m)			{ TRSM(A(k,k),A(m,k), (2*nblocks - 2*k - m)); }
 
- #define herk_oreille_up(k,n)		{ SYRK_GPU(A(n,k),A(n,n), (2*nblocks - 2*k - n)); }
 
- #define herk_oreille_down(k,n)		{ SYRK_GPU(A(n,k),A(n,n), (2*nblocks - 2*k - n)); }
 
- #define herk_cpu(k,n)			{ SYRK(A(n,k),A(n,n), (2*nblocks - 2*k - n)); }
 
- #define herk_bande(k,n)			{ SYRK(A(n,k),A(n,n), (2*nblocks - 2*k - n)); }
 
- #define gemm_oreille_up(k,n,m)		{ GEMM_GPU(A(m,k),A(n,k),A(m,n), (2*nblocks - 2*k - n - m)); }
 
- #define gemm_oreille_down(k,n,m)	{ GEMM_GPU(A(m,k),A(n,k),A(m,n), (2*nblocks - 2*k - n - m)); }
 
- #define gemm_cpu(k,n,m)			{ GEMM(A(m,k),A(n,k),A(m,n), (2*nblocks - 2*k - n - m)); }
 
- #define gemm_bande(k,n,m)		{ GEMM(A(m,k),A(n,k),A(m,n), (2*nblocks - 2*k - n - m)); }
 
- #include "cholesky_compiled.c"
 
- 	starpu_task_wait_for_all();
 
- 	end = starpu_timing_now();
 
- 	starpu_fxt_stop_profiling();
 
- 	if (bound_p || bound_lp_p || bound_mps_p)
 
- 		starpu_bound_stop();
 
- 	double timing = end - start;
 
- 	double flop = FLOPS_SPOTRF(nelems);
 
- 	if(with_ctxs_p || with_noctxs_p || chole1_p || chole2_p)
 
- 		update_sched_ctx_timing_results((flop/timing/1000.0f), (timing/1000000.0f));
 
- 	else
 
- 	{
 
- 		PRINTF("# size\tms\tGFlops");
 
- 		if (bound_p)
 
- 			PRINTF("\tTms\tTGFlops");
 
- 		PRINTF("\n");
 
- 		PRINTF("%lu\t%.0f\t%.1f", nelems, timing/1000, (flop/timing/1000.0f));
 
- 		if (bound_lp_p)
 
- 		{
 
- 			FILE *f = fopen("cholesky.lp", "w");
 
- 			starpu_bound_print_lp(f);
 
- 			fclose(f);
 
- 		}
 
- 		if (bound_mps_p)
 
- 		{
 
- 			FILE *f = fopen("cholesky.mps", "w");
 
- 			starpu_bound_print_mps(f);
 
- 			fclose(f);
 
- 		}
 
- 		if (bound_p)
 
- 		{
 
- 			double res;
 
- 			starpu_bound_compute(&res, NULL, 0);
 
- 			PRINTF("\t%.0f\t%.1f", res, (flop/res/1000000.0f));
 
- 		}
 
- 		PRINTF("\n");
 
- 	}
 
- 	return 0;
 
- }
 
- static int cholesky(float *matA, unsigned size, unsigned ld, unsigned nblocks)
 
- {
 
- 	starpu_data_handle_t dataA;
 
- 	unsigned m, n;
 
- 	/* 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));
 
- 	/* 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);
 
- 	for (m = 0; m < nblocks; m++)
 
- 		for (n = 0; n < nblocks; n++)
 
- 		{
 
- 			starpu_data_handle_t data = starpu_data_get_sub_data(dataA, 2, m, n);
 
- 			starpu_data_set_coordinates(data, 2, m, n);
 
- 		}
 
- 	int ret = _cholesky(dataA, nblocks);
 
- 	starpu_data_unpartition(dataA, STARPU_MAIN_RAM);
 
- 	starpu_data_unregister(dataA);
 
- 	return ret;
 
- }
 
- static void execute_cholesky(unsigned size, unsigned nblocks)
 
- {
 
- 	float *mat = NULL;
 
- #ifndef STARPU_SIMGRID
 
- 	unsigned m,n;
 
- 	starpu_malloc_flags((void **)&mat, (size_t)size*size*sizeof(float), STARPU_MALLOC_PINNED|STARPU_MALLOC_SIMULATION_FOLDED);
 
- 	for (n = 0; n < size; n++)
 
- 	{
 
- 		for (m = 0; m < size; m++)
 
- 		{
 
- 			mat[m +n*size] = (1.0f/(1.0f+m+n)) + ((m == n)?1.0f*size:0.0f);
 
- 			/* mat[m +n*size] = ((m == n)?1.0f*size:0.0f); */
 
- 		}
 
- 	}
 
- /* #define PRINT_OUTPUT */
 
- #ifdef PRINT_OUTPUT
 
- 	FPRINTF(stdout, "Input :\n");
 
- 	for (m = 0; m < size; m++)
 
- 	{
 
- 		for (n = 0; n < size; n++)
 
- 		{
 
- 			if (n <= m)
 
- 			{
 
- 				FPRINTF(stdout, "%2.2f\t", mat[m +n*size]);
 
- 			}
 
- 			else
 
- 			{
 
- 				FPRINTF(stdout, ".\t");
 
- 			}
 
- 		}
 
- 		FPRINTF(stdout, "\n");
 
- 	}
 
- #endif
 
- #endif
 
- 	cholesky(mat, size, size, nblocks);
 
- #ifndef STARPU_SIMGRID
 
- #ifdef PRINT_OUTPUT
 
- 	FPRINTF(stdout, "Results :\n");
 
- 	for (m = 0; m < size; m++)
 
- 	{
 
- 		for (n = 0; n < size; n++)
 
- 		{
 
- 			if (n <= m)
 
- 			{
 
- 				FPRINTF(stdout, "%2.2f\t", mat[m +n*size]);
 
- 			}
 
- 			else
 
- 			{
 
- 				FPRINTF(stdout, ".\t");
 
- 			}
 
- 		}
 
- 		FPRINTF(stdout, "\n");
 
- 	}
 
- #endif
 
- 	if (check_p)
 
- 	{
 
- 		FPRINTF(stderr, "compute explicit LLt ...\n");
 
- 		for (m = 0; m < size; m++)
 
- 		{
 
- 			for (n = 0; n < size; n++)
 
- 			{
 
- 				if (n > m)
 
- 				{
 
- 					mat[m+n*size] = 0.0f; /* debug */
 
- 				}
 
- 			}
 
- 		}
 
- 		float *test_mat = malloc(size*size*sizeof(float));
 
- 		STARPU_ASSERT(test_mat);
 
- 		STARPU_SSYRK("L", "N", size, size, 1.0f,
 
- 					mat, size, 0.0f, test_mat, size);
 
- 		FPRINTF(stderr, "comparing results ...\n");
 
- #ifdef PRINT_OUTPUT
 
- 		for (m = 0; m < size; m++)
 
- 		{
 
- 			for (n = 0; n < size; n++)
 
- 			{
 
- 				if (n <= m)
 
- 				{
 
- 					FPRINTF(stdout, "%2.2f\t", test_mat[m +n*size]);
 
- 				}
 
- 				else
 
- 				{
 
- 					FPRINTF(stdout, ".\t");
 
- 				}
 
- 			}
 
- 			FPRINTF(stdout, "\n");
 
- 		}
 
- #endif
 
- 		for (m = 0; m < size; m++)
 
- 		{
 
- 			for (n = 0; n < size; n++)
 
- 			{
 
- 				if (n <= m)
 
- 				{
 
- 	                                float orig = (1.0f/(1.0f+m+n)) + ((m == n)?1.0f*size:0.0f);
 
- 	                                float err = fabsf(test_mat[m +n*size] - 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], orig, err);
 
- 	                                        assert(0);
 
- 	                                }
 
- 	                        }
 
- 			}
 
- 	        }
 
- 		free(test_mat);
 
- 	}
 
- 	starpu_free_flags(mat, (size_t)size*size*sizeof(float), STARPU_MALLOC_PINNED|STARPU_MALLOC_SIMULATION_FOLDED);
 
- #endif
 
- }
 
- int main(int argc, char **argv)
 
- {
 
- 	/* create a simple definite positive symetric matrix example
 
- 	 *
 
- 	 *	Hilbert matrix : h(i,j) = 1/(i+j+1)
 
- 	 * */
 
- #ifdef STARPU_HAVE_MAGMA
 
- 	magma_init();
 
- #endif
 
- 	int ret;
 
- 	ret = starpu_init(NULL);
 
- 	if (ret == -ENODEV) return 77;
 
-         STARPU_CHECK_RETURN_VALUE(ret, "starpu_init");
 
- 	//starpu_fxt_stop_profiling();
 
- 	init_sizes();
 
- 	parse_args(argc, argv);
 
- 	if(with_ctxs_p || with_noctxs_p || chole1_p || chole2_p)
 
- 		parse_args_ctx(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(with_ctxs_p)
 
- 	{
 
- 		construct_contexts();
 
- 		start_2benchs(execute_cholesky);
 
- 	}
 
- 	else if(with_noctxs_p)
 
- 		start_2benchs(execute_cholesky);
 
- 	else if(chole1_p)
 
- 		start_1stbench(execute_cholesky);
 
- 	else if(chole2_p)
 
- 		start_2ndbench(execute_cholesky);
 
- 	else
 
- 		execute_cholesky(size_p, nblocks_p);
 
- 	starpu_cublas_shutdown();
 
- 	starpu_shutdown();
 
- 	return 0;
 
- }
 
 
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