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/*=============================================================================
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) 2012 Fredrik Johansson
******************************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include <gmp.h>
#include "flint.h"
#include "ulong_extras.h"
#include "nmod_poly.h"
int
main(void)
{
int i;
FLINT_TEST_INIT(state);
flint_printf("taylor_shift_convolution....");
fflush(stdout);
/* Check aliasing */
for (i = 0; i < 1000 * flint_test_multiplier(); i++)
{
nmod_poly_t f, g;
slong n;
mp_limb_t c, mod;
n = n_randint(state, 100);
do {
mod = n_randtest_prime(state, 0);
} while (mod <= n);
nmod_poly_init(f, mod);
nmod_poly_init(g, mod);
nmod_poly_randtest(f, state, n);
c = n_randtest(state) % mod;
nmod_poly_taylor_shift_convolution(g, f, c);
nmod_poly_taylor_shift_convolution(f, f, c);
if (!nmod_poly_equal(g, f))
{
flint_printf("FAIL\n");
nmod_poly_print(f); flint_printf("\n");
nmod_poly_print(g); flint_printf("\n");
abort();
}
nmod_poly_clear(f);
nmod_poly_clear(g);
}
/* Compare with composition */
for (i = 0; i < 1000 * flint_test_multiplier(); i++)
{
nmod_poly_t f, g, h1, h2;
mp_limb_t mod, c;
slong n;
n = n_randint(state, 100);
do {
mod = n_randtest_prime(state, 0);
} while (mod <= n);
nmod_poly_init(f, mod);
nmod_poly_init(g, mod);
nmod_poly_init(h1, mod);
nmod_poly_init(h2, mod);
nmod_poly_randtest(f, state, n);
c = n_randtest(state) % mod;
nmod_poly_set_coeff_ui(g, 1, 1);
nmod_poly_set_coeff_ui(g, 0, c);
nmod_poly_taylor_shift_convolution(h1, f, c);
nmod_poly_compose(h2, f, g);
if (!nmod_poly_equal(h1, h2))
{
flint_printf("FAIL\n");
nmod_poly_print(f); flint_printf("\n");
nmod_poly_print(g); flint_printf("\n");
nmod_poly_print(h1); flint_printf("\n");
nmod_poly_print(h2); flint_printf("\n");
abort();
}
nmod_poly_clear(f);
nmod_poly_clear(g);
nmod_poly_clear(h1);
nmod_poly_clear(h2);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}
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