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ALL: Add flint

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hasufell
2014-05-19 00:03:37 +02:00
parent a15ef46ea6
commit d51d8e3652
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332
external/flint-2.4.3/nmod_poly/test/t-xgcd_hgcd.c vendored Normal file
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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) 2011 William Hart
******************************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include "nmod_poly.h"
#include "ulong_extras.h"
int
main(void)
{
int i, result;
FLINT_TEST_INIT(state);
flint_printf("xgcd_hgcd....");
fflush(stdout);
/*
Compare with result from gcd and check a*s + b*t = g
*/
for (i = 0; i < 1000 * flint_test_multiplier(); i++)
{
nmod_poly_t a, b, c, g1, g2, s, t, sum, temp;
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(c, n);
nmod_poly_init(g1, n);
nmod_poly_init(g2, n);
nmod_poly_init(s, n);
nmod_poly_init(t, n);
nmod_poly_init(sum, n);
nmod_poly_init(temp, n);
nmod_poly_randtest(a, state, n_randtest(state) % 600);
nmod_poly_randtest(b, state, n_randtest(state) % 600);
nmod_poly_randtest(c, state, n_randtest(state) % 400);
nmod_poly_mul(a, a, c);
nmod_poly_mul(b, b, c);
nmod_poly_gcd(g1, a, b);
nmod_poly_xgcd_hgcd(g2, s, t, a, b);
nmod_poly_mul(sum, s, a);
nmod_poly_mul(temp, t, b);
nmod_poly_add(sum, sum, temp);
result = (nmod_poly_equal(g1, g2) && nmod_poly_equal(g1, sum)
&& (g1->length == 0 || g1->coeffs[g1->length - 1] == 1));
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(c), flint_printf("\n\n");
nmod_poly_print(g1), flint_printf("\n\n");
nmod_poly_print(g2), flint_printf("\n\n");
nmod_poly_print(sum), flint_printf("\n\n");
nmod_poly_print(s), flint_printf("\n\n");
nmod_poly_print(t), flint_printf("\n\n");
flint_printf("n = %wd\n", n);
abort();
}
nmod_poly_clear(a);
nmod_poly_clear(b);
nmod_poly_clear(c);
nmod_poly_clear(g1);
nmod_poly_clear(g2);
nmod_poly_clear(s);
nmod_poly_clear(t);
nmod_poly_clear(sum);
nmod_poly_clear(temp);
}
/* Check aliasing of a and g */
for (i = 0; i < 20 * flint_test_multiplier(); i++)
{
nmod_poly_t a, b, g, s, t;
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(g, n);
nmod_poly_init(s, n);
nmod_poly_init(t, n);
nmod_poly_randtest(a, state, n_randtest(state) % 200);
nmod_poly_randtest(b, state, n_randtest(state) % 200);
nmod_poly_xgcd_hgcd(g, s, t, a, b);
nmod_poly_xgcd_hgcd(a, s, t, a, b);
result = (nmod_poly_equal(a, g));
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(g), flint_printf("\n\n");
flint_printf("n = %wd\n", n);
abort();
}
nmod_poly_clear(a);
nmod_poly_clear(b);
nmod_poly_clear(g);
nmod_poly_clear(s);
nmod_poly_clear(t);
}
/* Check aliasing of b and g */
for (i = 0; i < 20 * flint_test_multiplier(); i++)
{
nmod_poly_t a, b, g, s, t;
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(g, n);
nmod_poly_init(s, n);
nmod_poly_init(t, n);
nmod_poly_randtest(a, state, n_randtest(state) % 200);
nmod_poly_randtest(b, state, n_randtest(state) % 200);
nmod_poly_xgcd_hgcd(g, s, t, a, b);
nmod_poly_xgcd_hgcd(b, s, t, a, b);
result = (nmod_poly_equal(b, g));
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(g), flint_printf("\n\n");
flint_printf("n = %wd\n", n);
abort();
}
nmod_poly_clear(a);
nmod_poly_clear(b);
nmod_poly_clear(g);
nmod_poly_clear(s);
nmod_poly_clear(t);
}
/* Check aliasing of s and a */
for (i = 0; i < 20 * flint_test_multiplier(); i++)
{
nmod_poly_t a, b, g, s, t;
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(g, n);
nmod_poly_init(s, n);
nmod_poly_init(t, n);
nmod_poly_randtest(a, state, n_randtest(state) % 200);
nmod_poly_randtest(b, state, n_randtest(state) % 200);
nmod_poly_xgcd_hgcd(g, s, t, a, b);
nmod_poly_xgcd_hgcd(g, a, t, a, b);
result = (nmod_poly_equal(s, a));
if (!result)
{
flint_printf("FAIL:\n");
nmod_poly_print(a), flint_printf("\n\n");
nmod_poly_print(s), flint_printf("\n\n");
flint_printf("n = %wd\n", n);
abort();
}
nmod_poly_clear(a);
nmod_poly_clear(b);
nmod_poly_clear(g);
nmod_poly_clear(s);
nmod_poly_clear(t);
}
/* Check aliasing of s and b */
for (i = 0; i < 20 * flint_test_multiplier(); i++)
{
nmod_poly_t a, b, g, s, t;
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(g, n);
nmod_poly_init(s, n);
nmod_poly_init(t, n);
nmod_poly_randtest(a, state, n_randtest(state) % 200);
nmod_poly_randtest(b, state, n_randtest(state) % 200);
nmod_poly_xgcd_hgcd(g, s, t, a, b);
nmod_poly_xgcd_hgcd(g, b, t, a, b);
result = (nmod_poly_equal(s, b));
if (!result)
{
flint_printf("FAIL:\n");
nmod_poly_print(b), flint_printf("\n\n");
nmod_poly_print(s), flint_printf("\n\n");
flint_printf("n = %wd\n", n);
abort();
}
nmod_poly_clear(a);
nmod_poly_clear(b);
nmod_poly_clear(g);
nmod_poly_clear(s);
nmod_poly_clear(t);
}
/* Check aliasing of t and a */
for (i = 0; i < 20 * flint_test_multiplier(); i++)
{
nmod_poly_t a, b, g, s, t;
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(g, n);
nmod_poly_init(s, n);
nmod_poly_init(t, n);
nmod_poly_randtest(a, state, n_randtest(state) % 200);
nmod_poly_randtest(b, state, n_randtest(state) % 200);
nmod_poly_xgcd_hgcd(g, s, t, a, b);
nmod_poly_xgcd_hgcd(g, s, a, a, b);
result = (nmod_poly_equal(t, a));
if (!result)
{
flint_printf("FAIL:\n");
nmod_poly_print(a), flint_printf("\n\n");
nmod_poly_print(t), flint_printf("\n\n");
flint_printf("n = %wd\n", n);
abort();
}
nmod_poly_clear(a);
nmod_poly_clear(b);
nmod_poly_clear(g);
nmod_poly_clear(s);
nmod_poly_clear(t);
}
/* Check aliasing of t and b */
for (i = 0; i < 20 * flint_test_multiplier(); i++)
{
nmod_poly_t a, b, g, s, t;
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(g, n);
nmod_poly_init(s, n);
nmod_poly_init(t, n);
nmod_poly_randtest(a, state, n_randtest(state) % 200);
nmod_poly_randtest(b, state, n_randtest(state) % 200);
nmod_poly_xgcd_hgcd(g, s, t, a, b);
nmod_poly_xgcd_hgcd(g, s, b, a, b);
result = (nmod_poly_equal(t, b));
if (!result)
{
flint_printf("FAIL:\n");
nmod_poly_print(b), flint_printf("\n\n");
nmod_poly_print(t), flint_printf("\n\n");
flint_printf("n = %wd\n", n);
abort();
}
nmod_poly_clear(a);
nmod_poly_clear(b);
nmod_poly_clear(g);
nmod_poly_clear(s);
nmod_poly_clear(t);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}