/*
Copyright (C) 2009 William Hart
Copyright (C) 2010 Sebastian Pancratz
This file is part of FLINT.
FLINT is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 2.1 of the License, or
(at your option) any later version. See .
*/
#include
#include
#include
#include "flint.h"
#include "fmpz.h"
#include "fmpz_poly.h"
#include "ulong_extras.h"
int
main(void)
{
int i, result;
FLINT_TEST_INIT(state);
flint_printf("gcd_subresultant....");
fflush(stdout);
/* Check aliasing of a and b */
for (i = 0; i < 50 * flint_test_multiplier(); i++)
{
fmpz_poly_t a, b, c;
fmpz_poly_init(a);
fmpz_poly_init(b);
fmpz_poly_init(c);
fmpz_poly_randtest(b, state, n_randint(state, 40), 80);
fmpz_poly_randtest(c, state, n_randint(state, 40), 80);
fmpz_poly_gcd_subresultant(a, b, c);
fmpz_poly_gcd_subresultant(b, b, c);
result = (fmpz_poly_equal(a, b));
if (!result)
{
flint_printf("FAIL (aliasing a and b):\n");
fmpz_poly_print(a), flint_printf("\n\n");
fmpz_poly_print(b), flint_printf("\n\n");
abort();
}
fmpz_poly_clear(a);
fmpz_poly_clear(b);
fmpz_poly_clear(c);
}
/* Check aliasing of a and c */
for (i = 0; i < 50 * flint_test_multiplier(); i++)
{
fmpz_poly_t a, b, c;
fmpz_poly_init(a);
fmpz_poly_init(b);
fmpz_poly_init(c);
fmpz_poly_randtest(b, state, n_randint(state, 40), 80);
fmpz_poly_randtest(c, state, n_randint(state, 40), 80);
fmpz_poly_gcd_subresultant(a, b, c);
fmpz_poly_gcd_subresultant(c, b, c);
result = (fmpz_poly_equal(a, c));
if (!result)
{
flint_printf("FAIL (aliasing a and c):\n");
fmpz_poly_print(a), flint_printf("\n\n");
fmpz_poly_print(c), flint_printf("\n\n");
abort();
}
fmpz_poly_clear(a);
fmpz_poly_clear(b);
fmpz_poly_clear(c);
}
/* Check that a divides GCD(af, ag) */
for (i = 0; i < 50 * flint_test_multiplier(); i++)
{
fmpz_poly_t a, d, f, g, q, r;
fmpz_poly_init(a);
fmpz_poly_init(d);
fmpz_poly_init(f);
fmpz_poly_init(g);
fmpz_poly_init(q);
fmpz_poly_init(r);
fmpz_poly_randtest_not_zero(a, state, n_randint(state, 24) + 1, 24);
fmpz_poly_randtest(f, state, n_randint(state, 40), 80);
fmpz_poly_randtest(g, state, n_randint(state, 40), 80);
fmpz_poly_mul(f, a, f);
fmpz_poly_mul(g, a, g);
fmpz_poly_gcd_subresultant(d, f, g);
fmpz_poly_divrem_divconquer(q, r, d, a);
result = (r->length == WORD(0));
if (!result)
{
flint_printf("FAIL (check a | gcd(af, ag)):\n");
fmpz_poly_print(f), flint_printf("\n");
fmpz_poly_print(g), flint_printf("\n");
fmpz_poly_print(d), flint_printf("\n");
abort();
}
fmpz_poly_clear(a);
fmpz_poly_clear(d);
fmpz_poly_clear(f);
fmpz_poly_clear(g);
fmpz_poly_clear(q);
fmpz_poly_clear(r);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}