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/*
Copyright (C) 2010 William Hart
Copyright (C) 2013 Martin Lee
This file is part of FLINT.
FLINT is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 3 of the License, or
(at your option) any later version. See <https://www.gnu.org/licenses/>.
*/
#include "test_helpers.h"
#include "ulong_extras.h"
#include "nmod_poly.h"
TEST_FUNCTION_START(nmod_poly_divrem_newton_n_preinv, state)
{
int i, result;
/* Check result of divrem */
for (i = 0; i < 2000 * flint_test_multiplier(); i++)
{
nmod_poly_t a, b, binv, q, r, test;
ulong 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, 2*b->length - 1);
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");
flint_printf("a.length: %wd\n", a->length);
flint_printf("b.length: %wd\n", b->length);
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);
fflush(stdout);
flint_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);
}
#if 0
/* Check aliasing of a and q */
for (i = 0; i < 500 * flint_test_multiplier(); i++)
{
nmod_poly_t a, b, binv, q, r;
ulong 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);
fflush(stdout);
flint_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;
ulong 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);
fflush(stdout);
flint_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;
ulong 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);
fflush(stdout);
flint_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;
ulong 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);
fflush(stdout);
flint_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;
ulong 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);
fflush(stdout);
flint_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;
ulong 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);
fflush(stdout);
flint_abort();
}
nmod_poly_clear(a);
nmod_poly_clear(b);
nmod_poly_clear(binv);
nmod_poly_clear(q);
nmod_poly_clear(r);
}
#endif
TEST_FUNCTION_END(state);
}