328 lines
9.4 KiB
C
328 lines
9.4 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) 2011 William Hart
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******************************************************************************/
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#include <stdio.h>
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#include <stdlib.h>
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#include "nmod_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("xgcd_euclidean....");
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fflush(stdout);
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/*
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Compare with result from gcd and check a*s + b*t = g
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*/
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for (i = 0; i < 1000 * flint_test_multiplier(); i++)
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{
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nmod_poly_t a, b, c, g1, s, t, g2;
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mp_limb_t n;
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do n = n_randtest_not_zero(state);
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while (!n_is_probabprime(n));
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nmod_poly_init(a, n);
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nmod_poly_init(b, n);
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nmod_poly_init(c, n);
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nmod_poly_init(g1, n);
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nmod_poly_init(g2, n);
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nmod_poly_init(s, n);
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nmod_poly_init(t, n);
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nmod_poly_randtest(a, state, n_randtest(state) % 200);
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nmod_poly_randtest(b, state, n_randtest(state) % 200);
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nmod_poly_randtest(c, state, n_randtest(state) % 200);
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nmod_poly_mul(a, a, c);
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nmod_poly_mul(b, b, c);
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nmod_poly_gcd_euclidean(g1, a, b);
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nmod_poly_xgcd_euclidean(g2, s, t, a, b);
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nmod_poly_mul(s, s, a);
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nmod_poly_mul(t, t, b);
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nmod_poly_add(s, s, t);
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result = (nmod_poly_equal(g1, g2) && nmod_poly_equal(s, g1)
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&& (g1->length == 0 || g1->coeffs[g1->length - 1] == 1));
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if (!result)
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{
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flint_printf("FAIL:\n");
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nmod_poly_print(a), flint_printf("\n\n");
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nmod_poly_print(b), flint_printf("\n\n");
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nmod_poly_print(c), flint_printf("\n\n");
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nmod_poly_print(g1), flint_printf("\n\n");
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nmod_poly_print(g2), flint_printf("\n\n");
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nmod_poly_print(s), flint_printf("\n\n");
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nmod_poly_print(t), flint_printf("\n\n");
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flint_printf("n = %wd\n", n);
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abort();
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}
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nmod_poly_clear(a);
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nmod_poly_clear(b);
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nmod_poly_clear(c);
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nmod_poly_clear(g1);
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nmod_poly_clear(g2);
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nmod_poly_clear(s);
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nmod_poly_clear(t);
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}
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/* Check aliasing of a and g */
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for (i = 0; i < 20 * flint_test_multiplier(); i++)
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{
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nmod_poly_t a, b, g, s, t;
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mp_limb_t n;
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do n = n_randtest(state);
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while (!n_is_probabprime(n));
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nmod_poly_init(a, n);
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nmod_poly_init(b, n);
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nmod_poly_init(g, n);
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nmod_poly_init(s, n);
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nmod_poly_init(t, n);
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nmod_poly_randtest(a, state, n_randtest(state) % 200);
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nmod_poly_randtest(b, state, n_randtest(state) % 200);
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nmod_poly_xgcd_euclidean(g, s, t, a, b);
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nmod_poly_xgcd_euclidean(a, s, t, a, b);
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result = (nmod_poly_equal(a, g));
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if (!result)
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{
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flint_printf("FAIL:\n");
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nmod_poly_print(a), flint_printf("\n\n");
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nmod_poly_print(b), flint_printf("\n\n");
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nmod_poly_print(g), flint_printf("\n\n");
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flint_printf("n = %wd\n", n);
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abort();
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}
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nmod_poly_clear(a);
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nmod_poly_clear(b);
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nmod_poly_clear(g);
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nmod_poly_clear(s);
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nmod_poly_clear(t);
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}
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/* Check aliasing of b and g */
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for (i = 0; i < 20 * flint_test_multiplier(); i++)
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{
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nmod_poly_t a, b, g, s, t;
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mp_limb_t n;
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do n = n_randtest(state);
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while (!n_is_probabprime(n));
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nmod_poly_init(a, n);
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nmod_poly_init(b, n);
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nmod_poly_init(g, n);
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nmod_poly_init(s, n);
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nmod_poly_init(t, n);
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nmod_poly_randtest(a, state, n_randtest(state) % 200);
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nmod_poly_randtest(b, state, n_randtest(state) % 200);
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nmod_poly_xgcd_euclidean(g, s, t, a, b);
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nmod_poly_xgcd_euclidean(b, s, t, a, b);
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result = (nmod_poly_equal(b, g));
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if (!result)
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{
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flint_printf("FAIL:\n");
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nmod_poly_print(a), flint_printf("\n\n");
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nmod_poly_print(b), flint_printf("\n\n");
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nmod_poly_print(g), flint_printf("\n\n");
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flint_printf("n = %wd\n", n);
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abort();
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}
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nmod_poly_clear(a);
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nmod_poly_clear(b);
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nmod_poly_clear(g);
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nmod_poly_clear(s);
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nmod_poly_clear(t);
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}
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/* Check aliasing of s and a */
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for (i = 0; i < 20 * flint_test_multiplier(); i++)
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{
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nmod_poly_t a, b, g, s, t;
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mp_limb_t n;
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do n = n_randtest(state);
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while (!n_is_probabprime(n));
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nmod_poly_init(a, n);
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nmod_poly_init(b, n);
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nmod_poly_init(g, n);
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nmod_poly_init(s, n);
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nmod_poly_init(t, n);
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nmod_poly_randtest(a, state, n_randtest(state) % 200);
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nmod_poly_randtest(b, state, n_randtest(state) % 200);
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nmod_poly_xgcd_euclidean(g, s, t, a, b);
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nmod_poly_xgcd_euclidean(g, a, t, a, b);
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result = (nmod_poly_equal(s, a));
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if (!result)
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{
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flint_printf("FAIL:\n");
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nmod_poly_print(a), flint_printf("\n\n");
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nmod_poly_print(s), flint_printf("\n\n");
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flint_printf("n = %wd\n", n);
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abort();
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}
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nmod_poly_clear(a);
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nmod_poly_clear(b);
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nmod_poly_clear(g);
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nmod_poly_clear(s);
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nmod_poly_clear(t);
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}
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/* Check aliasing of s and b */
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for (i = 0; i < 20 * flint_test_multiplier(); i++)
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{
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nmod_poly_t a, b, g, s, t;
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mp_limb_t n;
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do n = n_randtest(state);
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while (!n_is_probabprime(n));
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nmod_poly_init(a, n);
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nmod_poly_init(b, n);
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nmod_poly_init(g, n);
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nmod_poly_init(s, n);
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nmod_poly_init(t, n);
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nmod_poly_randtest(a, state, n_randtest(state) % 200);
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nmod_poly_randtest(b, state, n_randtest(state) % 200);
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nmod_poly_xgcd_euclidean(g, s, t, a, b);
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nmod_poly_xgcd_euclidean(g, b, t, a, b);
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result = (nmod_poly_equal(s, b));
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if (!result)
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{
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flint_printf("FAIL:\n");
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nmod_poly_print(b), flint_printf("\n\n");
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nmod_poly_print(s), flint_printf("\n\n");
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flint_printf("n = %wd\n", n);
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abort();
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}
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nmod_poly_clear(a);
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nmod_poly_clear(b);
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nmod_poly_clear(g);
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nmod_poly_clear(s);
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nmod_poly_clear(t);
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}
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/* Check aliasing of t and a */
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for (i = 0; i < 20 * flint_test_multiplier(); i++)
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{
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nmod_poly_t a, b, g, s, t;
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mp_limb_t n;
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do n = n_randtest(state);
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while (!n_is_probabprime(n));
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nmod_poly_init(a, n);
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nmod_poly_init(b, n);
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nmod_poly_init(g, n);
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nmod_poly_init(s, n);
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nmod_poly_init(t, n);
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nmod_poly_randtest(a, state, n_randtest(state) % 200);
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nmod_poly_randtest(b, state, n_randtest(state) % 200);
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nmod_poly_xgcd_euclidean(g, s, t, a, b);
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nmod_poly_xgcd_euclidean(g, s, a, a, b);
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result = (nmod_poly_equal(t, a));
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if (!result)
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{
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flint_printf("FAIL:\n");
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nmod_poly_print(a), flint_printf("\n\n");
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nmod_poly_print(t), flint_printf("\n\n");
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flint_printf("n = %wd\n", n);
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abort();
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}
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nmod_poly_clear(a);
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nmod_poly_clear(b);
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nmod_poly_clear(g);
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nmod_poly_clear(s);
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nmod_poly_clear(t);
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}
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/* Check aliasing of t and b */
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for (i = 0; i < 20 * flint_test_multiplier(); i++)
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{
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nmod_poly_t a, b, g, s, t;
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mp_limb_t n;
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do n = n_randtest(state);
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while (!n_is_probabprime(n));
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nmod_poly_init(a, n);
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nmod_poly_init(b, n);
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nmod_poly_init(g, n);
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nmod_poly_init(s, n);
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nmod_poly_init(t, n);
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nmod_poly_randtest(a, state, n_randtest(state) % 200);
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nmod_poly_randtest(b, state, n_randtest(state) % 200);
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nmod_poly_xgcd_euclidean(g, s, t, a, b);
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nmod_poly_xgcd_euclidean(g, s, b, a, b);
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result = (nmod_poly_equal(t, b));
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if (!result)
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{
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flint_printf("FAIL:\n");
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nmod_poly_print(b), flint_printf("\n\n");
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nmod_poly_print(t), flint_printf("\n\n");
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flint_printf("n = %wd\n", n);
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abort();
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}
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nmod_poly_clear(a);
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nmod_poly_clear(b);
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nmod_poly_clear(g);
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nmod_poly_clear(s);
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nmod_poly_clear(t);
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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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