125 lines
3.5 KiB
C
125 lines
3.5 KiB
C
/*=============================================================================
|
|
|
|
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 "nmod_vec.h"
|
|
#include "nmod_poly.h"
|
|
#include "ulong_extras.h"
|
|
|
|
int
|
|
main(void)
|
|
{
|
|
int i, result;
|
|
FLINT_TEST_INIT(state);
|
|
|
|
flint_printf("revert_series_newton....");
|
|
fflush(stdout);
|
|
|
|
|
|
|
|
/* Check aliasing */
|
|
for (i = 0; i < 10 * flint_test_multiplier(); i++)
|
|
{
|
|
nmod_poly_t f, g;
|
|
mp_limb_t m;
|
|
slong n;
|
|
|
|
m = n_randtest_prime(state, 0);
|
|
nmod_poly_init(f, m);
|
|
nmod_poly_init(g, m);
|
|
do {
|
|
nmod_poly_randtest(g, state, n_randint(state, 100));
|
|
} while (nmod_poly_get_coeff_ui(g, 1) == 0);
|
|
nmod_poly_set_coeff_ui(g, 0, 0);
|
|
do {
|
|
n = n_randint(state, 100);
|
|
} while (n >= m);
|
|
|
|
|
|
nmod_poly_revert_series_newton(f, g, n);
|
|
nmod_poly_revert_series_newton(g, g, n);
|
|
|
|
result = (nmod_poly_equal(f, g));
|
|
if (!result)
|
|
{
|
|
flint_printf("FAIL (aliasing):\n");
|
|
nmod_poly_print(f), flint_printf("\n\n");
|
|
nmod_poly_print(g), flint_printf("\n\n");
|
|
abort();
|
|
}
|
|
|
|
nmod_poly_clear(f);
|
|
nmod_poly_clear(g);
|
|
}
|
|
|
|
/* Check f(f^(-1)) = id */
|
|
for (i = 0; i < 100 * flint_test_multiplier(); i++)
|
|
{
|
|
nmod_poly_t f, g, h;
|
|
mp_limb_t m;
|
|
slong n;
|
|
|
|
m = n_randtest_prime(state, 0);
|
|
nmod_poly_init(f, m);
|
|
nmod_poly_init(g, m);
|
|
nmod_poly_init(h, m);
|
|
do {
|
|
nmod_poly_randtest(g, state, n_randint(state, 100));
|
|
} while (nmod_poly_get_coeff_ui(g, 1) == 0);
|
|
nmod_poly_set_coeff_ui(g, 0, 0);
|
|
do {
|
|
n = n_randint(state, 100);
|
|
} while (n >= m);
|
|
|
|
nmod_poly_revert_series_newton(f, g, n);
|
|
nmod_poly_compose_series(h, g, f, n);
|
|
|
|
result = ((n <= 1 && nmod_poly_is_zero(h)) ||
|
|
(h->length == 2 && h->coeffs[0] == 0 && h->coeffs[1] == 1));
|
|
if (!result)
|
|
{
|
|
flint_printf("FAIL (comparison):\n");
|
|
nmod_poly_print(g), flint_printf("\n\n");
|
|
nmod_poly_print(f), flint_printf("\n\n");
|
|
nmod_poly_print(h), flint_printf("\n\n");
|
|
abort();
|
|
}
|
|
|
|
nmod_poly_clear(f);
|
|
nmod_poly_clear(g);
|
|
nmod_poly_clear(h);
|
|
}
|
|
|
|
FLINT_TEST_CLEANUP(state);
|
|
|
|
flint_printf("PASS\n");
|
|
return 0;
|
|
}
|