/*============================================================================= This file is part of FLINT. FLINT is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. FLINT 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 General Public License for more details. You should have received a copy of the GNU General Public License along with FLINT; if not, write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA =============================================================================*/ /****************************************************************************** Copyright 2009 William Hart Copyright 2010,2011 Fredrik Johansson ******************************************************************************/ #include #include #include "profiler.h" #include "flint.h" #include "fmpz_mat.h" #include "fmpz.h" #include "ulong_extras.h" typedef struct { ulong dim; int algorithm; slong bits; } mat_mul_t; void sample(void * arg, ulong count) { mat_mul_t * params = (mat_mul_t *) arg; ulong i, dim = params->dim; slong bits = params->bits; int algorithm = params->algorithm; flint_rand_t rnd; fmpz_mat_t A; fmpz_t d; FLINT_TEST_INIT(state); fmpz_mat_init(A, dim, dim); fmpz_init(d); fmpz_mat_randtest(A, state, bits); prof_start(); if (algorithm == 0) for (i = 0; i < count; i++) fmpz_mat_det_bareiss(d, A); else if (algorithm == 1) for (i = 0; i < count; i++) fmpz_mat_det_modular(d, A, 1); else if (algorithm == 2) for (i = 0; i < count; i++) fmpz_mat_det_modular_accelerated(d, A, 1); prof_stop(); fmpz_mat_clear(A); fmpz_clear(d); flint_randclear(state); } int main(void) { double min_default, min_classical, min_modular, min_modular_2, max; mat_mul_t params; slong dim, bits; params.bits = 200; for (bits = 2; bits <= 4096; bits *= 2) { params.bits = bits; flint_printf("fmpz_mat_det (bits = %wd):\n", params.bits); for (dim = 2; dim <= 512; dim = (slong) ((double) dim * 1.1) + 1) { params.dim = dim; params.algorithm = 0; prof_repeat(&min_classical, &max, sample, ¶ms); params.algorithm = 1; prof_repeat(&min_modular, &max, sample, ¶ms); params.algorithm = 2; prof_repeat(&min_modular_2, &max, sample, ¶ms); flint_printf("dim = %wd classical/modular/acc. %.2f %.2f %.2f (us)\n", dim, min_classical, min_modular, min_modular_2); if (min_modular > 1.1*min_modular_2) break; } } return 0; }