pqc/external/flint-2.4.3/nmod_poly/test/t-div_newton_n_preinv.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) 2010 William Hart
Copyright (C) 2013 Martin Lee
******************************************************************************/
#undef ulong
#define ulong ulongxx/* interferes with system includes */
#include <stdlib.h>
#include <stdio.h>
#undef ulong
#include <gmp.h>
#define ulong mp_limb_t
#include "flint.h"
#include "nmod_poly.h"
#include "ulong_extras.h"
int
main(void)
{
int i, result;
FLINT_TEST_INIT(state);
flint_printf("div_newton_n_preinv....");
fflush(stdout);
/* Check result of divrem */
for (i = 0; i < 500 * flint_test_multiplier(); i++)
{
nmod_poly_t a, b, binv, q, r, test;
mp_limb_t n;
do n = n_randtest_not_zero(state);
while (!n_is_probabprime(n));
nmod_poly_init(a, n);
nmod_poly_init(b, n);
nmod_poly_init(binv, n);
nmod_poly_init(q, n);
nmod_poly_init(r, n);
nmod_poly_init(test, n);
do
nmod_poly_randtest(b, state, n_randint(state, 200));
while (b->length <= 2);
nmod_poly_randtest(a, state, n_randint(state, 200));
if (a->length > 2*(b->length)-3)
nmod_poly_truncate (a, 2*(b->length)-3);
nmod_poly_reverse (binv, b, b->length);
nmod_poly_inv_series (binv, binv, b->length);
nmod_poly_div_newton_n_preinv(q, a, b, binv);
nmod_poly_divrem (test, r, a, b);
result = (nmod_poly_equal(q, test));
if (!result)
{
flint_printf("FAIL:\n");
nmod_poly_print(test), flint_printf("\n\n");
nmod_poly_print(q), flint_printf("\n\n");
nmod_poly_print(a), flint_printf("\n\n");
nmod_poly_print(b), flint_printf("\n\n");
flint_printf("n = %wd\n", n);
abort();
}
nmod_poly_clear(a);
nmod_poly_clear(b);
nmod_poly_clear(binv);
nmod_poly_clear(q);
nmod_poly_clear(r);
nmod_poly_clear(test);
}
/* Check aliasing of a and q */
for (i = 0; i < 500 * flint_test_multiplier(); i++)
{
nmod_poly_t a, b, binv, q;
mp_limb_t n;
do n = n_randtest(state);
while (!n_is_probabprime(n));
nmod_poly_init(a, n);
nmod_poly_init(b, n);
nmod_poly_init(binv, n);
nmod_poly_init(q, n);
do
nmod_poly_randtest(b, state, n_randint(state, 200));
while (b->length <= 2);
nmod_poly_randtest(a, state, n_randint(state, 200));
if (a->length > 2*(b->length)-3)
nmod_poly_truncate (a, 2*(b->length)-3);
nmod_poly_reverse (binv, b, b->length);
nmod_poly_inv_series (binv, binv, b->length);
nmod_poly_div_newton_n_preinv(q, a, b, binv);
nmod_poly_div_newton_n_preinv(a, a, b, binv);
result = (nmod_poly_equal(a, q));
if (!result)
{
flint_printf("FAIL:\n");
nmod_poly_print(a), flint_printf("\n\n");
nmod_poly_print(b), flint_printf("\n\n");
nmod_poly_print(q), flint_printf("\n\n");
flint_printf("n = %wd\n", n);
abort();
}
nmod_poly_clear(a);
nmod_poly_clear(b);
nmod_poly_clear(binv);
nmod_poly_clear(q);
}
/* Check aliasing of b and q */
for (i = 0; i < 500 * flint_test_multiplier(); i++)
{
nmod_poly_t a, b, binv, q;
mp_limb_t n;
do n = n_randtest(state);
while (!n_is_probabprime(n));
nmod_poly_init(a, n);
nmod_poly_init(b, n);
nmod_poly_init(binv, n);
nmod_poly_init(q, n);
do
nmod_poly_randtest(b, state, n_randint(state, 200));
while (b->length <= 2);
nmod_poly_randtest(a, state, n_randint(state, 200));
if (a->length > 2*(b->length)-3)
nmod_poly_truncate (a, 2*(b->length)-3);
nmod_poly_reverse (binv, b, b->length);
nmod_poly_inv_series (binv, binv, b->length);
nmod_poly_div_newton_n_preinv(q, a, b, binv);
nmod_poly_div_newton_n_preinv(b, a, b, binv);
result = (nmod_poly_equal(b, q));
if (!result)
{
flint_printf("FAIL:\n");
nmod_poly_print(a), flint_printf("\n\n");
nmod_poly_print(b), flint_printf("\n\n");
nmod_poly_print(q), flint_printf("\n\n");
flint_printf("n = %wd\n", n);
abort();
}
nmod_poly_clear(a);
nmod_poly_clear(b);
nmod_poly_clear(binv);
nmod_poly_clear(q);
}
/* Check aliasing of binv and q */
for (i = 0; i < 500 * flint_test_multiplier(); i++)
{
nmod_poly_t a, b, binv, q;
mp_limb_t n;
do n = n_randtest(state);
while (!n_is_probabprime(n));
nmod_poly_init(a, n);
nmod_poly_init(b, n);
nmod_poly_init(binv, n);
nmod_poly_init(q, n);
do
nmod_poly_randtest(b, state, n_randint(state, 200));
while (b->length <= 2);
nmod_poly_randtest(a, state, n_randint(state, 200));
if (a->length > 2*(b->length)-3)
nmod_poly_truncate (a, 2*(b->length)-3);
nmod_poly_reverse (binv, b, b->length);
nmod_poly_inv_series (binv, binv, b->length);
nmod_poly_div_newton_n_preinv(q, a, b, binv);
nmod_poly_div_newton_n_preinv(binv, a, b, binv);
result = (nmod_poly_equal(binv, q));
if (!result)
{
flint_printf("FAIL:\n");
nmod_poly_print(a), flint_printf("\n\n");
nmod_poly_print(b), flint_printf("\n\n");
nmod_poly_print(binv), flint_printf("\n\n");
nmod_poly_print(q), flint_printf("\n\n");
flint_printf("n = %wd\n", n);
abort();
}
nmod_poly_clear(a);
nmod_poly_clear(b);
nmod_poly_clear(binv);
nmod_poly_clear(q);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}