153 lines
4.3 KiB
C
153 lines
4.3 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) 2009 William Hart
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Copyright (C) 2010, 2011 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_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("lcm....");
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fflush(stdout);
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/* Check aliasing of a and b */
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for (i = 0; i < 50 * flint_test_multiplier(); i++)
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{
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fmpz_poly_t a, b, c;
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fmpz_poly_init(a);
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fmpz_poly_init(b);
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fmpz_poly_init(c);
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fmpz_poly_randtest(b, state, n_randint(state, 40), 80);
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fmpz_poly_randtest(c, state, n_randint(state, 40), 80);
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fmpz_poly_lcm(a, b, c);
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fmpz_poly_lcm(b, b, c);
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result = (fmpz_poly_equal(a, b));
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if (!result)
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{
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flint_printf("FAIL (aliasing a and b):\n");
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fmpz_poly_print(a), flint_printf("\n\n");
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fmpz_poly_print(b), flint_printf("\n\n");
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abort();
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}
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fmpz_poly_clear(a);
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fmpz_poly_clear(b);
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fmpz_poly_clear(c);
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}
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/* Check aliasing of a and c */
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for (i = 0; i < 50 * flint_test_multiplier(); i++)
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{
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fmpz_poly_t a, b, c;
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fmpz_poly_init(a);
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fmpz_poly_init(b);
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fmpz_poly_init(c);
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fmpz_poly_randtest(b, state, n_randint(state, 40), 80);
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fmpz_poly_randtest(c, state, n_randint(state, 40), 80);
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fmpz_poly_lcm(a, b, c);
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fmpz_poly_lcm(c, b, c);
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result = (fmpz_poly_equal(a, c));
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if (!result)
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{
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flint_printf("FAIL (aliasing a and c):\n");
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fmpz_poly_print(a), flint_printf("\n\n");
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fmpz_poly_print(c), flint_printf("\n\n");
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abort();
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}
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fmpz_poly_clear(a);
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fmpz_poly_clear(b);
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fmpz_poly_clear(c);
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}
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/* Check that GCD(f, g) LCM(f, g) == f g */
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for (i = 0; i < 50 * flint_test_multiplier(); i++)
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{
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fmpz_poly_t f, g, gcd, lcm, lhs, rhs;
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fmpz_poly_init(f);
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fmpz_poly_init(g);
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fmpz_poly_init(gcd);
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fmpz_poly_init(lcm);
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fmpz_poly_init(lhs);
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fmpz_poly_init(rhs);
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fmpz_poly_randtest(f, state, n_randint(state, 40), 80);
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fmpz_poly_randtest(g, state, n_randint(state, 40), 80);
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fmpz_poly_gcd(gcd, f, g);
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fmpz_poly_lcm(lcm, f, g);
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fmpz_poly_mul(lhs, gcd, lcm);
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fmpz_poly_mul(rhs, f, g);
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if (!fmpz_poly_is_zero(rhs) && fmpz_sgn(fmpz_poly_lead(rhs)) < 0)
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fmpz_poly_neg(rhs, rhs);
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result = (fmpz_poly_equal(lhs, rhs));
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if (!result)
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{
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flint_printf("FAIL (GCD(f, g) * LCM(f, g) == f * g):\n");
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fmpz_poly_print(f), flint_printf("\n");
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fmpz_poly_print(g), flint_printf("\n");
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fmpz_poly_print(gcd), flint_printf("\n");
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fmpz_poly_print(lcm), flint_printf("\n");
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fmpz_poly_print(lhs), flint_printf("\n");
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fmpz_poly_print(rhs), flint_printf("\n");
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abort();
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}
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fmpz_poly_clear(f);
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fmpz_poly_clear(g);
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fmpz_poly_clear(gcd);
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fmpz_poly_clear(lcm);
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fmpz_poly_clear(lhs);
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fmpz_poly_clear(rhs);
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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 EXIT_SUCCESS;
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}
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