386 lines
12 KiB
C
386 lines
12 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) 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("divrem_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_divrem_newton_n_preinv(q, r, a, b, binv);
|
|
nmod_poly_mul(test, q, b);
|
|
nmod_poly_add(test, test, r);
|
|
|
|
result = (nmod_poly_equal(a, test));
|
|
if (!result)
|
|
{
|
|
flint_printf("FAIL:\n");
|
|
nmod_poly_print(a), flint_printf("\n\n");
|
|
nmod_poly_print(test), flint_printf("\n\n");
|
|
nmod_poly_print(q), flint_printf("\n\n");
|
|
nmod_poly_print(r), 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, 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(binv, n);
|
|
nmod_poly_init(q, n);
|
|
nmod_poly_init(r, 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_divrem_newton_n_preinv(q, r, a, b, binv);
|
|
nmod_poly_divrem_newton_n_preinv(a, r, 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");
|
|
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(binv);
|
|
nmod_poly_clear(q);
|
|
nmod_poly_clear(r);
|
|
}
|
|
|
|
/* Check aliasing of b and q */
|
|
for (i = 0; i < 500 * flint_test_multiplier(); i++)
|
|
{
|
|
nmod_poly_t a, b, binv, 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(binv, n);
|
|
nmod_poly_init(q, n);
|
|
nmod_poly_init(r, 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_divrem_newton_n_preinv(q, r, a, b, binv);
|
|
nmod_poly_divrem_newton_n_preinv(b, r, 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");
|
|
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(binv);
|
|
nmod_poly_clear(q);
|
|
nmod_poly_clear(r);
|
|
}
|
|
|
|
/* Check aliasing of binv and q */
|
|
for (i = 0; i < 500 * flint_test_multiplier(); i++)
|
|
{
|
|
nmod_poly_t a, b, binv, 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(binv, n);
|
|
nmod_poly_init(q, n);
|
|
nmod_poly_init(r, 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_divrem_newton_n_preinv(q, r, a, b, binv);
|
|
nmod_poly_divrem_newton_n_preinv(binv, r, 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");
|
|
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(binv);
|
|
nmod_poly_clear(q);
|
|
nmod_poly_clear(r);
|
|
}
|
|
|
|
/* Check aliasing of a and r */
|
|
for (i = 0; i < 500 * flint_test_multiplier(); i++)
|
|
{
|
|
nmod_poly_t a, b, binv, 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(binv, n);
|
|
nmod_poly_init(q, n);
|
|
nmod_poly_init(r, 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_divrem_newton_n_preinv(q, r, a, b, binv);
|
|
nmod_poly_divrem_newton_n_preinv(q, a, a, b, binv);
|
|
|
|
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(binv);
|
|
nmod_poly_clear(q);
|
|
nmod_poly_clear(r);
|
|
}
|
|
|
|
/* Check aliasing of b and r */
|
|
for (i = 0; i < 500 * flint_test_multiplier(); i++)
|
|
{
|
|
nmod_poly_t a, b, binv, 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(binv, n);
|
|
nmod_poly_init(q, n);
|
|
nmod_poly_init(r, 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_divrem_newton_n_preinv(q, r, a, b, binv);
|
|
nmod_poly_divrem_newton_n_preinv(q, b, a, b, binv);
|
|
|
|
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(binv);
|
|
nmod_poly_clear(q);
|
|
nmod_poly_clear(r);
|
|
}
|
|
|
|
/* Check aliasing of binv and r */
|
|
for (i = 0; i < 500 * flint_test_multiplier(); i++)
|
|
{
|
|
nmod_poly_t a, b, binv, 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(binv, n);
|
|
nmod_poly_init(q, n);
|
|
nmod_poly_init(r, 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_divrem_newton_n_preinv(q, r, a, b, binv);
|
|
nmod_poly_divrem_newton_n_preinv(q, binv, a, b, binv);
|
|
|
|
result = (nmod_poly_equal(binv, 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(binv), 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(binv);
|
|
nmod_poly_clear(q);
|
|
nmod_poly_clear(r);
|
|
}
|
|
|
|
FLINT_TEST_CLEANUP(state);
|
|
|
|
flint_printf("PASS\n");
|
|
return 0;
|
|
}
|