pqc/external/flint-2.4.3/fmpq_poly/test/t-is_squarefree.c

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2014-05-18 22:03:37 +00:00
/*=============================================================================
This file is part of FLINT.
FLINT is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
FLINT is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with FLINT; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
=============================================================================*/
/******************************************************************************
Copyright (C) 2009 William Hart
Copyright (C) 2010 Sebastian Pancratz
******************************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include <gmp.h>
#include "flint.h"
#include "fmpz.h"
#include "fmpq_poly.h"
#include "ulong_extras.h"
int
main(void)
{
int i, result;
FLINT_TEST_INIT(state);
flint_printf("is_squarefree....");
fflush(stdout);
/* Check that polynomials of degree <= 1 are square-free */
for (i = 0; i < 50 * flint_test_multiplier(); i++)
{
fmpq_poly_t f;
fmpq_poly_init(f);
fmpq_poly_randtest(f, state, n_randint(state, 2), 100);
result = (fmpq_poly_is_squarefree(f));
if (!result)
{
flint_printf("FAIL:\n");
fmpq_poly_debug(f), flint_printf("\n");
abort();
}
fmpq_poly_clear(f);
}
/* Check that a^2 f is not square-free */
for (i = 0; i < 20 * flint_test_multiplier(); i++)
{
fmpq_poly_t a, f;
fmpq_poly_init(a);
fmpq_poly_randtest_not_zero(a, state, n_randint(state, 20) + 1, 40);
if (a->length < 2)
{
fmpq_poly_clear(a);
continue;
}
fmpq_poly_init(f);
fmpq_poly_randtest_not_zero(f, state, n_randint(state, 20) + 1, 40);
fmpq_poly_mul(a, a, a);
fmpq_poly_mul(f, a, f);
result = (!fmpq_poly_is_squarefree(f));
if (!result)
{
flint_printf("FAIL:\n");
fmpq_poly_debug(f), flint_printf("\n");
abort();
}
fmpq_poly_clear(a);
fmpq_poly_clear(f);
}
/* Check that f + N*(x^M + 1) is square-free, for N >> f, M > deg(f) */
for (i = 0; i < 20 * flint_test_multiplier(); i++)
{
fmpq_poly_t a, f;
fmpz_t N;
fmpq_poly_init(a);
fmpq_poly_set_coeff_si(a, 0, WORD(1));
fmpq_poly_set_coeff_si(a, n_randint(state, 20), WORD(1));
if (a->length < 2)
{
fmpq_poly_clear(a);
continue;
}
fmpq_poly_init(f);
fmpq_poly_randtest(f, state, a->length - 2, 40);
fmpz_init_set_ui(N, UWORD(1));
fmpz_mul_2exp(N, N, 45 + a->length);
fmpq_poly_scalar_mul_fmpz(a, a, N);
fmpq_poly_add(f, a, f);
result = fmpq_poly_is_squarefree(f);
if (!result)
{
flint_printf("FAIL:\n");
fmpq_poly_debug(f), flint_printf("\n");
abort();
}
fmpq_poly_clear(a);
fmpq_poly_clear(f);
fmpz_clear(N);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}