173 lines
4.4 KiB
C
173 lines
4.4 KiB
C
/*=============================================================================
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This file is part of FLINT.
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FLINT is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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FLINT is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with FLINT; if not, write to the Free Software
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Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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=============================================================================*/
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/******************************************************************************
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Copyright (C) 2010 Fredrik Johansson
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Copyright (C) 2012 Lina Kulakova
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******************************************************************************/
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#include <stdio.h>
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#include <stdlib.h>
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#include <gmp.h>
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#include "flint.h"
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#include "fmpz.h"
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#include "fmpz_vec.h"
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#include "fmpz_mat.h"
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#include "ulong_extras.h"
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static void
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check_rref(fmpz_mat_t A)
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{
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slong i, j, prev_pivot, prev_row_zero;
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prev_row_zero = 0;
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prev_pivot = -1;
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for (i = 0; i < A->r; i++)
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{
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for (j = 0; j < A->c; j++)
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{
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/* Found nonzero entry */
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if (!fmpz_is_zero(A->rows[i] + j))
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{
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if (prev_row_zero)
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{
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flint_printf("nonzero row after zero row\n");
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abort();
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}
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if (j <= prev_pivot)
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{
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flint_printf("pivot not strictly to the right of previous\n");
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abort();
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}
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prev_pivot = j;
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break;
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}
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prev_row_zero = (j + 1 == A->c);
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}
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}
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}
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int
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main(void)
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{
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fmpz_mat_t A;
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fmpz_t p;
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slong i, j, k, m, n, b, d, r, rank;
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slong *perm;
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FLINT_TEST_INIT(state);
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flint_printf("rref_mod....");
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fflush(stdout);
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/* Maximally sparse matrices of given rank */
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for (i = 0; i < 10000; i++)
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{
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m = n_randint(state, 10);
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n = n_randint(state, 10);
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perm = flint_malloc(FLINT_MAX(1, m) * sizeof(slong));
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fmpz_init_set_ui(p, n_randtest_prime(state, 0));
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for (r = 0; r <= FLINT_MIN(m, n); r++)
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{
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b = 1 + n_randint(state, 10) * n_randint(state, 10);
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fmpz_mat_init(A, m, n);
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fmpz_mat_randrank(A, state, r, b);
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for (j = 0; j < m; j++)
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for (k = 0; k < n; k++)
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fmpz_mod(fmpz_mat_entry(A, j, k), fmpz_mat_entry(A, j, k),
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p);
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rank = fmpz_mat_rref_mod(perm, A, p);
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if (r < rank)
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{
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flint_printf("FAIL:\n");
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flint_printf("wrong rank!\n");
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abort();
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}
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check_rref(A);
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fmpz_mat_clear(A);
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}
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fmpz_clear(p);
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flint_free(perm);
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}
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/* Dense */
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for (i = 0; i < 10000; i++)
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{
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m = n_randint(state, 10);
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n = n_randint(state, 10);
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perm = flint_malloc(FLINT_MAX(1, m) * sizeof(slong));
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fmpz_init_set_ui(p, n_randtest_prime(state, 0));
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for (r = 0; r <= FLINT_MIN(m, n); r++)
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{
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b = 1 + n_randint(state, 10) * n_randint(state, 10);
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d = n_randint(state, 2 * m * n + 1);
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fmpz_mat_init(A, m, n);
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fmpz_mat_randrank(A, state, r, b);
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fmpz_mat_randops(A, state, d);
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for (j = 0; j < m; j++)
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for (k = 0; k < n; k++)
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fmpz_mod(fmpz_mat_entry(A, j, k), fmpz_mat_entry(A, j, k),
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p);
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rank = fmpz_mat_rref_mod(perm, A, p);
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if (r < rank)
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{
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flint_printf("FAIL:\n");
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flint_printf("wrong rank!\n");
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abort();
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}
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check_rref(A);
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fmpz_mat_clear(A);
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}
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fmpz_clear(p);
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flint_free(perm);
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}
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FLINT_TEST_CLEANUP(state);
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flint_printf("PASS\n");
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return 0;
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}
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