306 lines
9.0 KiB
C
306 lines
9.0 KiB
C
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/*=============================================================================
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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) 2009 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 <gmp.h>
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#include "flint.h"
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#include "ulong_extras.h"
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#include "fmpz.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....");
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fflush(stdout);
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/* Test aliasing of d and f, a and g */
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for (i = 0; i < 1000 * flint_test_multiplier(); i++)
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{
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fmpz_t d, a, b, c, f, g, F, G;
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fmpz_init(d);
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fmpz_init(a);
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fmpz_init(b);
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fmpz_init(c);
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fmpz_init(f);
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fmpz_init(g);
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fmpz_init(F);
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fmpz_init(G);
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fmpz_randtest_unsigned(G, state, 200);
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fmpz_add_ui(G, G, 1);
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fmpz_randm(F, state, G);
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if (n_randint(state, 2)) fmpz_neg(G, G);
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if (n_randint(state, 2)) fmpz_neg(F, F);
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fmpz_set(f, F);
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fmpz_set(g, G);
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fmpz_xgcd(d, a, b, f, g);
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fmpz_xgcd(f, g, c, f, g);
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result = (fmpz_equal(d, f)
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&& fmpz_equal(b, c)
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&& fmpz_equal(a, g));
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if (!result)
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{
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flint_printf("FAIL:\n\n");
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flint_printf("d = "), fmpz_print(d), flint_printf("\n");
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flint_printf("a = "), fmpz_print(a), flint_printf("\n");
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flint_printf("b = "), fmpz_print(b), flint_printf("\n");
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flint_printf("c = "), fmpz_print(c), flint_printf("\n");
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flint_printf("f = "), fmpz_print(f), flint_printf("\n");
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flint_printf("g = "), fmpz_print(g), flint_printf("\n");
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flint_printf("F = "), fmpz_print(F), flint_printf("\n");
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flint_printf("G = "), fmpz_print(G), flint_printf("\n");
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abort();
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}
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fmpz_clear(d);
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fmpz_clear(a);
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fmpz_clear(b);
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fmpz_clear(c);
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fmpz_clear(f);
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fmpz_clear(g);
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fmpz_clear(F);
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fmpz_clear(G);
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}
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/* Test aliasing of a and f, d and g */
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for (i = 0; i < 1000 * flint_test_multiplier(); i++)
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{
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fmpz_t d, a, b, c, f, g, F, G;
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fmpz_init(d);
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fmpz_init(a);
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fmpz_init(b);
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fmpz_init(c);
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fmpz_init(f);
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fmpz_init(g);
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fmpz_init(F);
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fmpz_init(G);
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fmpz_randtest_unsigned(G, state, 200);
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fmpz_add_ui(G, G, 1);
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fmpz_randm(F, state, G);
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if (n_randint(state, 2)) fmpz_neg(G, G);
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if (n_randint(state, 2)) fmpz_neg(F, F);
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fmpz_set(f, F);
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fmpz_set(g, G);
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fmpz_xgcd(d, a, b, f, g);
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fmpz_xgcd(g, f, c, f, g);
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result = (fmpz_equal(d, g)
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&& fmpz_equal(b, c)
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&& fmpz_equal(a, f));
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if (!result)
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{
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flint_printf("FAIL:\n\n");
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flint_printf("d = "), fmpz_print(d), flint_printf("\n");
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flint_printf("a = "), fmpz_print(a), flint_printf("\n");
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flint_printf("b = "), fmpz_print(b), flint_printf("\n");
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flint_printf("c = "), fmpz_print(c), flint_printf("\n");
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flint_printf("f = "), fmpz_print(f), flint_printf("\n");
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flint_printf("g = "), fmpz_print(g), flint_printf("\n");
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flint_printf("F = "), fmpz_print(F), flint_printf("\n");
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flint_printf("G = "), fmpz_print(G), flint_printf("\n");
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abort();
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}
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fmpz_clear(d);
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fmpz_clear(a);
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fmpz_clear(b);
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fmpz_clear(c);
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fmpz_clear(f);
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fmpz_clear(g);
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fmpz_clear(F);
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fmpz_clear(G);
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}
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/* Test aliasing of d and f, b and g */
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for (i = 0; i < 1000 * flint_test_multiplier(); i++)
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{
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fmpz_t d, a, b, c, f, g, F, G;
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fmpz_init(d);
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fmpz_init(a);
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fmpz_init(b);
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fmpz_init(c);
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fmpz_init(f);
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fmpz_init(g);
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fmpz_init(F);
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fmpz_init(G);
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fmpz_randtest_unsigned(G, state, 200);
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fmpz_add_ui(G, G, 1);
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fmpz_randm(F, state, G);
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if (n_randint(state, 2)) fmpz_neg(G, G);
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if (n_randint(state, 2)) fmpz_neg(F, F);
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fmpz_set(f, F);
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fmpz_set(g, G);
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fmpz_xgcd(d, a, b, f, g);
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fmpz_xgcd(f, c, g, f, g);
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result = (fmpz_equal(d, f)
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&& fmpz_equal(a, c)
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&& fmpz_equal(b, g));
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if (!result)
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{
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flint_printf("FAIL:\n\n");
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flint_printf("d = "), fmpz_print(d), flint_printf("\n");
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flint_printf("a = "), fmpz_print(a), flint_printf("\n");
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flint_printf("b = "), fmpz_print(b), flint_printf("\n");
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flint_printf("c = "), fmpz_print(c), flint_printf("\n");
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flint_printf("f = "), fmpz_print(f), flint_printf("\n");
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flint_printf("g = "), fmpz_print(g), flint_printf("\n");
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flint_printf("F = "), fmpz_print(F), flint_printf("\n");
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flint_printf("G = "), fmpz_print(G), flint_printf("\n");
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abort();
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}
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fmpz_clear(d);
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fmpz_clear(a);
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fmpz_clear(b);
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fmpz_clear(c);
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fmpz_clear(f);
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fmpz_clear(g);
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fmpz_clear(F);
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fmpz_clear(G);
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}
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/* Test aliasing of b and f, d and g */
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for (i = 0; i < 1000 * flint_test_multiplier(); i++)
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{
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fmpz_t d, a, b, c, f, g, F, G;
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fmpz_init(d);
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fmpz_init(a);
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fmpz_init(b);
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fmpz_init(c);
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fmpz_init(f);
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fmpz_init(g);
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fmpz_init(F);
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fmpz_init(G);
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fmpz_randtest_unsigned(G, state, 200);
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fmpz_add_ui(G, G, 1);
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fmpz_randm(F, state, G);
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if (n_randint(state, 2)) fmpz_neg(G, G);
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if (n_randint(state, 2)) fmpz_neg(F, F);
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fmpz_set(f, F);
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fmpz_set(g, G);
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fmpz_xgcd(d, a, b, f, g);
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fmpz_xgcd(g, c, f, f, g);
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result = (fmpz_equal(d, g)
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&& fmpz_equal(a, c)
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&& fmpz_equal(b, f));
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if (!result)
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{
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flint_printf("FAIL:\n\n");
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flint_printf("d = "), fmpz_print(d), flint_printf("\n");
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flint_printf("a = "), fmpz_print(a), flint_printf("\n");
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flint_printf("b = "), fmpz_print(b), flint_printf("\n");
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flint_printf("c = "), fmpz_print(c), flint_printf("\n");
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flint_printf("f = "), fmpz_print(f), flint_printf("\n");
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flint_printf("g = "), fmpz_print(g), flint_printf("\n");
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flint_printf("F = "), fmpz_print(F), flint_printf("\n");
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flint_printf("G = "), fmpz_print(G), flint_printf("\n");
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abort();
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}
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fmpz_clear(d);
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fmpz_clear(a);
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fmpz_clear(b);
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fmpz_clear(c);
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fmpz_clear(f);
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fmpz_clear(g);
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fmpz_clear(F);
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fmpz_clear(G);
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}
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/* Test a f + b g == d */
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for (i = 0; i < 1000 * flint_test_multiplier(); i++)
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{
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fmpz_t d, a, b, f, g, t1, t2;
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fmpz_init(d);
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fmpz_init(a);
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fmpz_init(b);
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fmpz_init(f);
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fmpz_init(g);
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fmpz_init(t1);
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fmpz_init(t2);
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fmpz_randtest_unsigned(g, state, 200);
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fmpz_add_ui(g, g, 1);
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fmpz_randm(f, state, g);
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if (n_randint(state, 2)) fmpz_neg(g, g);
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if (n_randint(state, 2)) fmpz_neg(f, f);
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fmpz_xgcd(d, a, b, f, g);
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fmpz_mul(t1, a, f);
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fmpz_mul(t2, b, g);
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fmpz_add(t1, t1, t2);
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result = fmpz_equal(t1, d);
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if (!result)
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{
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flint_printf("FAIL:\n\n");
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flint_printf("d = "), fmpz_print(d), flint_printf("\n");
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flint_printf("a = "), fmpz_print(a), flint_printf("\n");
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flint_printf("b = "), fmpz_print(b), flint_printf("\n");
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flint_printf("f = "), fmpz_print(f), flint_printf("\n");
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flint_printf("g = "), fmpz_print(g), flint_printf("\n");
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flint_printf("t1 = "), fmpz_print(t1), flint_printf("\n");
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flint_printf("t2 = "), fmpz_print(t2), flint_printf("\n");
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abort();
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}
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fmpz_clear(d);
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fmpz_clear(a);
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fmpz_clear(b);
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fmpz_clear(f);
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fmpz_clear(g);
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fmpz_clear(t1);
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fmpz_clear(t2);
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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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