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+/* StarPU --- Runtime system for heterogeneous multicore architectures.
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+ *
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+ * Copyright (C) 2011-2013,2015 Inria
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+ * Copyright (C) 2009-2017,2019 Université de Bordeaux
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+ * Copyright (C) 2010-2013,2015-2017 CNRS
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+ * Copyright (C) 2013 Thibaut Lambert
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+ * Copyright (C) 2010 Mehdi Juhoor
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+ *
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+ * StarPU is free software; you can redistribute it and/or modify
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+ * it under the terms of the GNU Lesser General Public License as published by
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+ * the Free Software Foundation; either version 2.1 of the License, or (at
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+ * your option) any later version.
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+ *
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+ * StarPU is distributed in the hope that it will be useful, but
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+ * WITHOUT ANY WARRANTY; without even the implied warranty of
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+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
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+ *
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+ * See the GNU Lesser General Public License in COPYING.LGPL for more details.
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+ */
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+
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+/*
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+ * This version of the Cholesky factorization can include an
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+ * externally-compiler-generated loop nest, which allows to play with
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+ * compiler-side optimizations.
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+ */
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+
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+#include "cholesky.h"
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+#include "../sched_ctx_utils/sched_ctx_utils.h"
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+
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+#if defined(STARPU_USE_CUDA) && defined(STARPU_HAVE_MAGMA)
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+#include "magma.h"
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+#endif
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+
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+/*
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+ * code to bootstrap the factorization
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+ * and construct the DAG
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+ */
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+
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+static void callback_turn_spmd_on(void *arg)
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+{
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+ (void)arg;
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+ cl22.type = STARPU_SPMD;
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+}
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+
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+static int _cholesky(starpu_data_handle_t dataA, unsigned nblocks)
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+{
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+ double start;
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+ double end;
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+
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+ unsigned long N = starpu_matrix_get_nx(dataA);
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+ unsigned long nn = N/nblocks;
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+
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+ unsigned unbound_prio = STARPU_MAX_PRIO == INT_MAX && STARPU_MIN_PRIO == INT_MIN;
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+
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+ if (bound_p || bound_lp_p || bound_mps_p)
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+ starpu_bound_start(bound_deps_p, 0);
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+ starpu_fxt_start_profiling();
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+
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+ start = starpu_timing_now();
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+
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+#define A(i,j) starpu_data_get_sub_data(dataA, 2, j, i)
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+#define POTRF(A, prio) do { \
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+ int ret = starpu_task_insert(&cl11, \
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+ STARPU_PRIORITY, noprio_p ? STARPU_DEFAULT_PRIO : unbound_prio ? (int) (prio) : (int) STARPU_MAX_PRIO, \
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+ STARPU_RW, A, \
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+ STARPU_FLOPS, (double) FLOPS_SPOTRF(nn), \
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+ 0); \
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+ if (ret == -ENODEV) return 77; \
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+ STARPU_CHECK_RETURN_VALUE(ret, "starpu_task_insert"); \
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+} while (0)
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+
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+#define TRSM(A, B, prio) do { \
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+ int ret = starpu_task_insert(&cl21, \
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+ STARPU_PRIORITY, noprio_p ? STARPU_DEFAULT_PRIO : unbound_prio ? (int) (prio) : (int) STARPU_DEFAULT_PRIO, \
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+ STARPU_R, A, \
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+ STARPU_RW, B, \
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+ STARPU_FLOPS, (double) FLOPS_STRSM(nn,nn), \
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+ 0); \
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+ if (ret == -ENODEV) return 77; \
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+ STARPU_CHECK_RETURN_VALUE(ret, "starpu_task_insert"); \
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+} while (0)
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+
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+/* TODO: use real SYRK */
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+#define SYRK(A, C, prio) do { \
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+ int ret = starpu_task_insert(&cl22, \
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+ STARPU_PRIORITY, noprio_p ? STARPU_DEFAULT_PRIO : unbound_prio ? (int) (prio) : (int) STARPU_DEFAULT_PRIO, \
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+ STARPU_R, A, \
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+ STARPU_R, A, \
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+ STARPU_RW, C, \
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+ STARPU_FLOPS, (double) FLOPS_SGEMM(nn,nn,nn), \
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+ 0); \
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+ if (ret == -ENODEV) return 77; \
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+ STARPU_CHECK_RETURN_VALUE(ret, "starpu_task_insert"); \
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+} while (0)
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+
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+#define GEMM(A, B, C, prio) do { \
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+ int ret = starpu_task_insert(&cl22, \
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+ STARPU_PRIORITY, noprio_p ? STARPU_DEFAULT_PRIO : unbound_prio ? (int) (prio) : (int) STARPU_DEFAULT_PRIO, \
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+ STARPU_R, A, \
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+ STARPU_R, B, \
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+ STARPU_RW, C, \
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+ STARPU_FLOPS, (double) FLOPS_SGEMM(nn,nn,nn), \
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+ 0); \
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+ if (ret == -ENODEV) return 77; \
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+ STARPU_CHECK_RETURN_VALUE(ret, "starpu_task_insert"); \
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+} while (0)
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+
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+#include "cholesky_compiled.c"
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+
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+ starpu_task_wait_for_all();
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+
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+ end = starpu_timing_now();
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+
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+ starpu_fxt_stop_profiling();
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+ if (bound_p || bound_lp_p || bound_mps_p)
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+ starpu_bound_stop();
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+
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+ double timing = end - start;
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+
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+ double flop = FLOPS_SPOTRF(N);
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+
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+ if(with_ctxs_p || with_noctxs_p || chole1_p || chole2_p)
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+ update_sched_ctx_timing_results((flop/timing/1000.0f), (timing/1000000.0f));
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+ else
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+ {
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+ PRINTF("# size\tms\tGFlops");
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+ if (bound_p)
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+ PRINTF("\tTms\tTGFlops");
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+ PRINTF("\n");
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+
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+ PRINTF("%lu\t%.0f\t%.1f", N, timing/1000, (flop/timing/1000.0f));
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+ if (bound_lp_p)
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+ {
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+ FILE *f = fopen("cholesky.lp", "w");
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+ starpu_bound_print_lp(f);
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+ fclose(f);
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+ }
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+ if (bound_mps_p)
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+ {
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+ FILE *f = fopen("cholesky.mps", "w");
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+ starpu_bound_print_mps(f);
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+ fclose(f);
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+ }
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+ if (bound_p)
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+ {
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+ double res;
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+ starpu_bound_compute(&res, NULL, 0);
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+ PRINTF("\t%.0f\t%.1f", res, (flop/res/1000000.0f));
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+ }
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+ PRINTF("\n");
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+ }
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+ return 0;
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+}
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+
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+static int cholesky(float *matA, unsigned size, unsigned ld, unsigned nblocks)
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+{
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+ starpu_data_handle_t dataA;
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+ unsigned x, y;
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+
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+ /* monitor and partition the A matrix into blocks :
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+ * one block is now determined by 2 unsigned (i,j) */
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+ starpu_matrix_data_register(&dataA, STARPU_MAIN_RAM, (uintptr_t)matA, ld, size, size, sizeof(float));
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+
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+ struct starpu_data_filter f =
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+ {
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+ .filter_func = starpu_matrix_filter_vertical_block,
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+ .nchildren = nblocks
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+ };
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+
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+ struct starpu_data_filter f2 =
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+ {
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+ .filter_func = starpu_matrix_filter_block,
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+ .nchildren = nblocks
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+ };
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+
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+ starpu_data_map_filters(dataA, 2, &f, &f2);
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+
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+ for (x = 0; x < nblocks; x++)
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+ for (y = 0; y < nblocks; y++)
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+ {
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+ starpu_data_handle_t data = starpu_data_get_sub_data(dataA, 2, x, y);
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+ starpu_data_set_coordinates(data, 2, x, y);
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+ }
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+
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+ int ret = _cholesky(dataA, nblocks);
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+
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+ starpu_data_unpartition(dataA, STARPU_MAIN_RAM);
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+ starpu_data_unregister(dataA);
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+
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+ return ret;
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+}
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+
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+static void execute_cholesky(unsigned size, unsigned nblocks)
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+{
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+ float *mat = NULL;
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+
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+#ifndef STARPU_SIMGRID
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+ unsigned i,j;
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+ starpu_malloc_flags((void **)&mat, (size_t)size*size*sizeof(float), STARPU_MALLOC_PINNED|STARPU_MALLOC_SIMULATION_FOLDED);
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+ for (i = 0; i < size; i++)
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+ {
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+ for (j = 0; j < size; j++)
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+ {
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+ mat[j +i*size] = (1.0f/(1.0f+i+j)) + ((i == j)?1.0f*size:0.0f);
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+ /* mat[j +i*size] = ((i == j)?1.0f*size:0.0f); */
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+ }
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+ }
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+
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+/* #define PRINT_OUTPUT */
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+#ifdef PRINT_OUTPUT
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+ FPRINTF(stdout, "Input :\n");
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+
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+ for (j = 0; j < size; j++)
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+ {
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+ for (i = 0; i < size; i++)
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+ {
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+ if (i <= j)
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+ {
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+ FPRINTF(stdout, "%2.2f\t", mat[j +i*size]);
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+ }
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+ else
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+ {
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+ FPRINTF(stdout, ".\t");
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+ }
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+ }
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+ FPRINTF(stdout, "\n");
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+ }
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+#endif
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+#endif
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+
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+ cholesky(mat, size, size, nblocks);
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+
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+#ifndef STARPU_SIMGRID
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+#ifdef PRINT_OUTPUT
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+ FPRINTF(stdout, "Results :\n");
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+ for (j = 0; j < size; j++)
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+ {
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+ for (i = 0; i < size; i++)
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+ {
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+ if (i <= j)
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+ {
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+ FPRINTF(stdout, "%2.2f\t", mat[j +i*size]);
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+ }
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+ else
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+ {
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+ FPRINTF(stdout, ".\t");
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+ mat[j+i*size] = 0.0f; /* debug */
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+ }
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+ }
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+ FPRINTF(stdout, "\n");
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+ }
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+#endif
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+
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+ if (check_p)
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+ {
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+ FPRINTF(stderr, "compute explicit LLt ...\n");
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+ for (j = 0; j < size; j++)
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+ {
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+ for (i = 0; i < size; i++)
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+ {
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+ if (i > j)
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+ {
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+ mat[j+i*size] = 0.0f; /* debug */
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+ }
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+ }
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+ }
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+ float *test_mat = malloc(size*size*sizeof(float));
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+ STARPU_ASSERT(test_mat);
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+
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+ STARPU_SSYRK("L", "N", size, size, 1.0f,
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+ mat, size, 0.0f, test_mat, size);
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+
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+ FPRINTF(stderr, "comparing results ...\n");
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+#ifdef PRINT_OUTPUT
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+ for (j = 0; j < size; j++)
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+ {
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+ for (i = 0; i < size; i++)
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+ {
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+ if (i <= j)
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+ {
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+ FPRINTF(stdout, "%2.2f\t", test_mat[j +i*size]);
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+ }
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+ else
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+ {
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+ FPRINTF(stdout, ".\t");
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+ }
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+ }
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+ FPRINTF(stdout, "\n");
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+ }
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+#endif
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+
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+ for (j = 0; j < size; j++)
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+ {
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+ for (i = 0; i < size; i++)
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+ {
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+ if (i <= j)
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+ {
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+ float orig = (1.0f/(1.0f+i+j)) + ((i == j)?1.0f*size:0.0f);
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+ float err = fabsf(test_mat[j +i*size] - orig) / orig;
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+ if (err > 0.00001)
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+ {
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+ FPRINTF(stderr, "Error[%u, %u] --> %2.6f != %2.6f (err %2.6f)\n", i, j, test_mat[j +i*size], orig, err);
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+ assert(0);
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+ }
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+ }
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+ }
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+ }
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+ free(test_mat);
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+ }
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+ starpu_free_flags(mat, (size_t)size*size*sizeof(float), STARPU_MALLOC_PINNED|STARPU_MALLOC_SIMULATION_FOLDED);
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+#endif
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+}
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+
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+int main(int argc, char **argv)
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+{
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+ /* create a simple definite positive symetric matrix example
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+ *
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+ * Hilbert matrix : h(i,j) = 1/(i+j+1)
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+ * */
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+
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+#ifdef STARPU_HAVE_MAGMA
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+ magma_init();
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+#endif
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+
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+ int ret;
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+ ret = starpu_init(NULL);
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+ if (ret == -ENODEV) return 77;
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+ STARPU_CHECK_RETURN_VALUE(ret, "starpu_init");
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+
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+ //starpu_fxt_stop_profiling();
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+
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+ init_sizes();
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+
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+ parse_args(argc, argv);
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+
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+ if(with_ctxs_p || with_noctxs_p || chole1_p || chole2_p)
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+ parse_args_ctx(argc, argv);
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+
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+#ifdef STARPU_USE_CUDA
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+ initialize_chol_model(&chol_model_11,"chol_model_11",cpu_chol_task_11_cost,cuda_chol_task_11_cost);
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+ initialize_chol_model(&chol_model_21,"chol_model_21",cpu_chol_task_21_cost,cuda_chol_task_21_cost);
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+ initialize_chol_model(&chol_model_22,"chol_model_22",cpu_chol_task_22_cost,cuda_chol_task_22_cost);
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+#else
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+ initialize_chol_model(&chol_model_11,"chol_model_11",cpu_chol_task_11_cost,NULL);
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+ initialize_chol_model(&chol_model_21,"chol_model_21",cpu_chol_task_21_cost,NULL);
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+ initialize_chol_model(&chol_model_22,"chol_model_22",cpu_chol_task_22_cost,NULL);
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+#endif
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+
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+ starpu_cublas_init();
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+
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+ if(with_ctxs_p)
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+ {
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+ construct_contexts();
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+ start_2benchs(execute_cholesky);
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+ }
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+ else if(with_noctxs_p)
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+ start_2benchs(execute_cholesky);
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+ else if(chole1_p)
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+ start_1stbench(execute_cholesky);
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+ else if(chole2_p)
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+ start_2ndbench(execute_cholesky);
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+ else
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+ execute_cholesky(size_p, nblocks_p);
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+
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+ starpu_cublas_shutdown();
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+ starpu_shutdown();
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+
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+ return 0;
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+}
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