232 lines
6.7 KiB
C
232 lines
6.7 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) 2012 Sebastian Pancratz
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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_mod_poly.h"
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#include "ulong_extras.h"
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int
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main(void)
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{
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int i, result;
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FLINT_TEST_INIT(state);
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flint_printf("invmod....");
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fflush(stdout);
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/* Test aliasing *************************************************************/
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/* Aliasing c and a */
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for (i = 0; i < 500; i++)
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{
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fmpz_t p;
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fmpz_mod_poly_t a, b, c;
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int ans1, ans2;
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fmpz_init(p);
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fmpz_set_ui(p, n_randtest_prime(state, 0));
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fmpz_mod_poly_init(a, p);
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fmpz_mod_poly_init(b, p);
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fmpz_mod_poly_init(c, p);
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do
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fmpz_mod_poly_randtest(b, state, n_randint(state, 100));
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while (b->length < 3);
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fmpz_mod_poly_randtest(a, state, n_randint(state, 100));
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ans1 = fmpz_mod_poly_invmod(c, a, b);
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ans2 = fmpz_mod_poly_invmod(a, a, b);
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result = (ans1 == ans2 && fmpz_mod_poly_equal(a, c));
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if (!result)
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{
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flint_printf("FAIL (alias a and c):\n");
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fmpz_mod_poly_print(a), flint_printf("\n\n");
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fmpz_mod_poly_print(b), flint_printf("\n\n");
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fmpz_mod_poly_print(c), flint_printf("\n\n");
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flint_printf("ans1 = %d\n\n", ans1);
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flint_printf("ans2 = %d\n\n", ans2);
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abort();
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}
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fmpz_mod_poly_clear(a);
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fmpz_mod_poly_clear(b);
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fmpz_mod_poly_clear(c);
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fmpz_clear(p);
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}
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/* Aliasing c and b */
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for (i = 0; i < 500; i++)
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{
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fmpz_t p;
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fmpz_mod_poly_t a, b, c;
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int ans1, ans2;
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fmpz_init(p);
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fmpz_set_ui(p, n_randtest_prime(state, 0));
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fmpz_mod_poly_init(a, p);
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fmpz_mod_poly_init(b, p);
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fmpz_mod_poly_init(c, p);
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do
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fmpz_mod_poly_randtest(b, state, n_randint(state, 100));
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while (b->length < 3);
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fmpz_mod_poly_randtest(a, state, n_randint(state, 100));
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ans1 = fmpz_mod_poly_invmod(c, a, b);
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ans2 = fmpz_mod_poly_invmod(b, a, b);
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result = ((ans1 == ans2) && fmpz_mod_poly_equal(b, c));
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if (!result)
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{
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flint_printf("FAIL (alias b and c):\n");
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fmpz_mod_poly_print(a), flint_printf("\n\n");
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fmpz_mod_poly_print(b), flint_printf("\n\n");
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fmpz_mod_poly_print(c), flint_printf("\n\n");
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flint_printf("ans1 = %d\n\n", ans1);
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flint_printf("ans2 = %d\n\n", ans2);
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abort();
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}
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fmpz_mod_poly_clear(a);
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fmpz_mod_poly_clear(b);
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fmpz_mod_poly_clear(c);
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fmpz_clear(p);
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}
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/* Compare with result from XGCD */
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for (i = 0; i < 1000; i++)
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{
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fmpz_t p;
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fmpz_mod_poly_t a, b, g, s, t, u;
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int ans;
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fmpz_init(p);
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fmpz_set_ui(p, n_randtest_prime(state, 0));
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fmpz_mod_poly_init(a, p);
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fmpz_mod_poly_init(b, p);
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fmpz_mod_poly_init(g, p);
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fmpz_mod_poly_init(s, p);
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fmpz_mod_poly_init(t, p);
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fmpz_mod_poly_init(u, p);
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do
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fmpz_mod_poly_randtest(b, state, n_randint(state, 100));
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while (b->length < 3);
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fmpz_mod_poly_randtest(a, state, n_randint(state, 100));
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ans = fmpz_mod_poly_invmod(u, a, b);
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fmpz_mod_poly_xgcd(g, s, t, a, b);
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result = (((ans) && g->length == 1
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&& fmpz_is_one(g->coeffs) && fmpz_mod_poly_equal(s, u))
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|| (!(ans) && g->length > 1));
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if (!result)
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{
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flint_printf("FAIL:\n");
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fmpz_mod_poly_print(a), flint_printf("\n\n");
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fmpz_mod_poly_print(b), flint_printf("\n\n");
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fmpz_mod_poly_print(g), flint_printf("\n\n");
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fmpz_mod_poly_print(s), flint_printf("\n\n");
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fmpz_mod_poly_print(t), flint_printf("\n\n");
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fmpz_mod_poly_print(u), flint_printf("\n\n");
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flint_printf("ans = %d\n\n", ans);
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abort();
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}
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fmpz_mod_poly_clear(a);
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fmpz_mod_poly_clear(b);
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fmpz_mod_poly_clear(g);
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fmpz_mod_poly_clear(s);
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fmpz_mod_poly_clear(t);
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fmpz_mod_poly_clear(u);
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fmpz_clear(p);
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}
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/* Special case, arguments share a factor ********************************/
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/* Check correctness */
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for (i = 0; i < 1000; i++)
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{
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fmpz_t p;
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fmpz_mod_poly_t a, b, f, u;
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int ans;
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fmpz_init(p);
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fmpz_set_ui(p, n_randtest_prime(state, 0));
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fmpz_mod_poly_init(a, p);
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fmpz_mod_poly_init(b, p);
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fmpz_mod_poly_init(f, p);
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fmpz_mod_poly_init(u, p);
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do
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fmpz_mod_poly_randtest(b, state, n_randint(state, 100));
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while (b->length < 2);
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fmpz_mod_poly_randtest(a, state, n_randint(state, 100));
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do
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fmpz_mod_poly_randtest_not_zero(f, state, n_randint(state, 20) + 1);
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while (f->length < 2);
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fmpz_mod_poly_mul(a, f, a);
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fmpz_mod_poly_mul(b, f, b);
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ans = fmpz_mod_poly_invmod(u, a, b);
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result = (!ans);
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if (!result)
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{
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flint_printf("FAIL:\n");
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fmpz_mod_poly_print(a), flint_printf("\n\n");
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fmpz_mod_poly_print(b), flint_printf("\n\n");
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fmpz_mod_poly_print(f), flint_printf("\n\n");
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fmpz_mod_poly_print(u), flint_printf("\n\n");
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flint_printf("ans = %d\n\n", ans);
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abort();
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}
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fmpz_mod_poly_clear(a);
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fmpz_mod_poly_clear(b);
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fmpz_mod_poly_clear(f);
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fmpz_mod_poly_clear(u);
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fmpz_clear(p);
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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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