328 lines
9.4 KiB
C
328 lines
9.4 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) 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_euclidean....");
|
||
|
|
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, s, t, g2;
|
||
|
|
|
||
|
|
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_randtest(a, state, n_randtest(state) % 200);
|
||
|
|
nmod_poly_randtest(b, state, n_randtest(state) % 200);
|
||
|
|
nmod_poly_randtest(c, state, n_randtest(state) % 200);
|
||
|
|
|
||
|
|
nmod_poly_mul(a, a, c);
|
||
|
|
nmod_poly_mul(b, b, c);
|
||
|
|
|
||
|
|
nmod_poly_gcd_euclidean(g1, a, b);
|
||
|
|
nmod_poly_xgcd_euclidean(g2, s, t, a, b);
|
||
|
|
|
||
|
|
nmod_poly_mul(s, s, a);
|
||
|
|
nmod_poly_mul(t, t, b);
|
||
|
|
nmod_poly_add(s, s, t);
|
||
|
|
|
||
|
|
result = (nmod_poly_equal(g1, g2) && nmod_poly_equal(s, g1)
|
||
|
|
&& (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(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);
|
||
|
|
}
|
||
|
|
|
||
|
|
/* 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_euclidean(g, s, t, a, b);
|
||
|
|
nmod_poly_xgcd_euclidean(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_euclidean(g, s, t, a, b);
|
||
|
|
nmod_poly_xgcd_euclidean(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_euclidean(g, s, t, a, b);
|
||
|
|
nmod_poly_xgcd_euclidean(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_euclidean(g, s, t, a, b);
|
||
|
|
nmod_poly_xgcd_euclidean(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_euclidean(g, s, t, a, b);
|
||
|
|
nmod_poly_xgcd_euclidean(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_euclidean(g, s, t, a, b);
|
||
|
|
nmod_poly_xgcd_euclidean(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;
|
||
|
|
}
|