pqc/external/flint-2.4.3/nmod_poly/test/t-divrem.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
******************************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include <gmp.h>
#include "flint.h"
#include "nmod_poly.h"
#include "ulong_extras.h"
int
main(void)
{
int i, result;
FLINT_TEST_INIT(state);
flint_printf("divrem....");
fflush(stdout);
/* Check result of divrem */
for (i = 0; i < 100 * flint_test_multiplier(); i++)
{
nmod_poly_t a, b, q, r, prod;
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(q, n);
nmod_poly_init(r, n);
nmod_poly_init(prod, n);
nmod_poly_randtest(a, state, n_randint(state, 2000));
do nmod_poly_randtest(b, state, n_randint(state, 2000));
while (b->length == 0);
nmod_poly_divrem(q, r, a, b);
nmod_poly_mul(prod, q, b);
nmod_poly_add(prod, prod, r);
result = (nmod_poly_equal(a, prod));
if (!result)
{
flint_printf("FAIL:\n");
nmod_poly_print(a), flint_printf("\n\n");
nmod_poly_print(prod), flint_printf("\n\n");
nmod_poly_print(q), flint_printf("\n\n");
nmod_poly_print(r), flint_printf("\n\n");
flint_printf("n = %wd\n", n);
abort();
}
nmod_poly_clear(a);
nmod_poly_clear(b);
nmod_poly_clear(q);
nmod_poly_clear(r);
nmod_poly_clear(prod);
}
/* Check aliasing of a and q */
for (i = 0; i < 100 * flint_test_multiplier(); i++)
{
nmod_poly_t a, b, q, r;
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(q, n);
nmod_poly_init(r, n);
nmod_poly_randtest(a, state, n_randint(state, 2000));
do nmod_poly_randtest(b, state, n_randint(state, 2000));
while (b->length == 0);
nmod_poly_divrem(q, r, a, b);
nmod_poly_divrem(a, r, a, b);
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");
nmod_poly_print(r), flint_printf("\n\n");
flint_printf("n = %wd\n", n);
abort();
}
nmod_poly_clear(a);
nmod_poly_clear(b);
nmod_poly_clear(q);
nmod_poly_clear(r);
}
/* Check aliasing of b and q */
for (i = 0; i < 100 * flint_test_multiplier(); i++)
{
nmod_poly_t a, b, q, r;
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(q, n);
nmod_poly_init(r, n);
nmod_poly_randtest(a, state, n_randint(state, 2000));
do nmod_poly_randtest(b, state, n_randint(state, 2000));
while (b->length == 0);
nmod_poly_divrem(q, r, a, b);
nmod_poly_divrem(b, r, a, b);
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");
nmod_poly_print(r), flint_printf("\n\n");
flint_printf("n = %wd\n", n);
abort();
}
nmod_poly_clear(a);
nmod_poly_clear(b);
nmod_poly_clear(q);
nmod_poly_clear(r);
}
/* Check aliasing of a and r */
for (i = 0; i < 100 * flint_test_multiplier(); i++)
{
nmod_poly_t a, b, q, r;
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(q, n);
nmod_poly_init(r, n);
nmod_poly_randtest(a, state, n_randint(state, 2000));
do nmod_poly_randtest(b, state, n_randint(state, 2000));
while (b->length == 0);
nmod_poly_divrem(q, r, a, b);
nmod_poly_divrem(q, a, a, b);
result = (nmod_poly_equal(a, r));
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");
nmod_poly_print(r), flint_printf("\n\n");
flint_printf("n = %wd\n", n);
abort();
}
nmod_poly_clear(a);
nmod_poly_clear(b);
nmod_poly_clear(q);
nmod_poly_clear(r);
}
/* Check aliasing of b and r */
for (i = 0; i < 100 * flint_test_multiplier(); i++)
{
nmod_poly_t a, b, q, r;
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(q, n);
nmod_poly_init(r, n);
nmod_poly_randtest(a, state, n_randint(state, 2000));
do nmod_poly_randtest(b, state, n_randint(state, 2000));
while (b->length == 0);
nmod_poly_divrem(q, r, a, b);
nmod_poly_divrem(q, b, a, b);
result = (nmod_poly_equal(b, r));
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");
nmod_poly_print(r), flint_printf("\n\n");
flint_printf("n = %wd\n", n);
abort();
}
nmod_poly_clear(a);
nmod_poly_clear(b);
nmod_poly_clear(q);
nmod_poly_clear(r);
}
/* Check result of divrem_q0 */
for (i = 0; i < 500 * flint_test_multiplier(); i++)
{
nmod_poly_t a, b, q, r, prod;
mp_limb_t n = n_randprime(state, n_randint(state,FLINT_BITS-1)+2, 0);
nmod_poly_init(a, n);
nmod_poly_init(b, n);
nmod_poly_init(q, n);
nmod_poly_init(r, n);
nmod_poly_init(prod, n);
do nmod_poly_randtest(a, state, n_randint(state, 400));
while (a->length < 1);
nmod_poly_randtest(b, state, a->length);
do b->coeffs[a->length - 1] = n_randint(state, n);
while (b->coeffs[a->length - 1] == 0);
b->length = a->length;
nmod_poly_divrem(q, r, a, b);
nmod_poly_mul(prod, q, b);
nmod_poly_add(prod, prod, r);
result = (nmod_poly_equal(a, prod) && r->length < b->length);
if (!result)
{
flint_printf("FAIL:\n");
nmod_poly_print(a), flint_printf("\n\n");
nmod_poly_print(prod), flint_printf("\n\n");
nmod_poly_print(q), flint_printf("\n\n");
nmod_poly_print(r), flint_printf("\n\n");
flint_printf("n = %wd\n", n);
abort();
}
nmod_poly_clear(a);
nmod_poly_clear(b);
nmod_poly_clear(q);
nmod_poly_clear(r);
nmod_poly_clear(prod);
}
/* Check result of divrem_q1 */
for (i = 0; i < 500 * flint_test_multiplier(); i++)
{
nmod_poly_t a, b, q, r, prod;
mp_limb_t n = n_randprime(state, n_randint(state,FLINT_BITS-1)+2, 0);
nmod_poly_init(a, n);
nmod_poly_init(b, n);
nmod_poly_init(q, n);
nmod_poly_init(r, n);
nmod_poly_init(prod, n);
do nmod_poly_randtest(a, state, n_randint(state, 1000));
while (a->length < 2);
nmod_poly_fit_length(b, a->length - 1);
flint_mpn_zero(b->coeffs, a->length - 1);
nmod_poly_randtest_not_zero(b, state, n_randint(state, 1000) + 1);
do b->coeffs[a->length - 2] = n_randint(state, n);
while (b->coeffs[a->length - 2] == 0);
b->length = a->length - 1;
nmod_poly_divrem(q, r, a, b);
nmod_poly_mul(prod, q, b);
nmod_poly_add(prod, prod, r);
result = (nmod_poly_equal(a, prod) && r->length < b->length);
if (!result)
{
flint_printf("FAIL:\n");
nmod_poly_print(a), flint_printf("\n\n");
nmod_poly_print(prod), flint_printf("\n\n");
nmod_poly_print(q), flint_printf("\n\n");
nmod_poly_print(r), flint_printf("\n\n");
flint_printf("n = %wd\n", n);
abort();
}
nmod_poly_clear(a);
nmod_poly_clear(b);
nmod_poly_clear(q);
nmod_poly_clear(r);
nmod_poly_clear(prod);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}