pqc/external/flint-2.4.3/fmpq_poly/test/t-revert_series_lagrange.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
Copyright (C) 2011 Fredrik Johansson
******************************************************************************/
#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("revert_series_lagrange....");
fflush(stdout);
/* Check aliasing */
for (i = 0; i < 10 * flint_test_multiplier(); i++)
{
fmpq_poly_t f, g;
slong n;
fmpq_poly_init(f);
fmpq_poly_init(g);
do {
fmpq_poly_randtest(g, state, n_randint(state, 50), 1+n_randint(state,100));
} while (fmpq_poly_length(g) < 2 || fmpz_is_zero(g->coeffs + 1));
fmpq_poly_set_coeff_ui(g, 0, 0);
n = n_randint(state, 50);
fmpq_poly_revert_series_lagrange(f, g, n);
fmpq_poly_revert_series_lagrange(g, g, n);
result = (fmpq_poly_equal(f, g));
if (!result)
{
flint_printf("FAIL (aliasing):\n");
fmpq_poly_print(f), flint_printf("\n\n");
fmpq_poly_print(g), flint_printf("\n\n");
abort();
}
fmpq_poly_clear(f);
fmpq_poly_clear(g);
}
/* Check f(f^(-1)) = id */
for (i = 0; i < 10 * flint_test_multiplier(); i++)
{
fmpq_poly_t f, g, h;
slong n;
fmpq_poly_init(f);
fmpq_poly_init(g);
fmpq_poly_init(h);
do {
if (n_randint(state, 20) == 0)
fmpq_poly_randtest(g, state,
n_randint(state, 50), 1);
else
fmpq_poly_randtest(g, state,
n_randint(state, 50), 1+n_randint(state,100));
} while (fmpq_poly_length(g) < 2 || fmpz_is_zero(g->coeffs + 1));
fmpq_poly_set_coeff_ui(g, 0, 0);
n = n_randint(state, 50);
fmpq_poly_revert_series_lagrange(f, g, n);
fmpq_poly_compose_series(h, g, f, n);
result = ((n <= 1 && fmpq_poly_is_zero(h)) ||
(h->length == 2 && fmpz_is_zero(h->coeffs + 0) &&
fmpz_is_one(h->coeffs + 1)));
if (!result)
{
flint_printf("FAIL (comparison):\n");
fmpq_poly_print(f), flint_printf("\n\n");
fmpq_poly_print(g), flint_printf("\n\n");
fmpq_poly_print(h), flint_printf("\n\n");
abort();
}
fmpq_poly_clear(f);
fmpq_poly_clear(g);
fmpq_poly_clear(h);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}