/*
Copyright (C) 2009, 2019 William Hart
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 2.1 of the License, or
(at your option) any later version. See .
*/
#include
#include
#include
#include "flint.h"
#include "fmpz.h"
#include "fmpz_poly.h"
#include "ulong_extras.h"
int
main(void)
{
int i, result;
FLINT_TEST_INIT(state);
flint_printf("div_series_divconquer....");
fflush(stdout);
/* Check aliasing q and a */
for (i = 0; i < 100 * flint_test_multiplier(); i++)
{
fmpz_poly_t a, b, q;
slong n = n_randint(state, 50) + 1;
fmpz_poly_init(a);
fmpz_poly_init(b);
fmpz_poly_init(q);
fmpz_poly_randtest(a, state, n_randint(state, 50) + 1, 2 + n_randint(state, 100));
fmpz_poly_randtest_not_zero(b, state, n_randint(state, 50) + 1, 2 + n_randint(state, 100));
fmpz_poly_set_coeff_si(b, 0, n_randint(state, 2) ? 1 : -1);
fmpz_poly_div_series_divconquer(q, a, b, n);
fmpz_poly_div_series_divconquer(a, a, b, n);
result = (fmpz_poly_equal(q, a));
if (!result)
{
flint_printf("FAIL (alias q and a):\n");
flint_printf("a = "), fmpz_poly_print(a), flint_printf("\n\n");
flint_printf("b = "), fmpz_poly_print(b), flint_printf("\n\n");
flint_printf("q = "), fmpz_poly_print(q), flint_printf("\n\n");
abort();
}
fmpz_poly_clear(a);
fmpz_poly_clear(b);
fmpz_poly_clear(q);
}
/* Check aliasing q and b */
for (i = 0; i < 100 * flint_test_multiplier(); i++)
{
fmpz_poly_t a, b, q;
slong n = n_randint(state, 50) + 1;
fmpz_poly_init(a);
fmpz_poly_init(b);
fmpz_poly_init(q);
fmpz_poly_randtest(a, state, n_randint(state, 50) + 1, 2 + n_randint(state, 100));
fmpz_poly_randtest_not_zero(b, state, n_randint(state, 50) + 1, 2 + n_randint(state, 100));
fmpz_poly_set_coeff_si(b, 0, n_randint(state, 2) ? 1 : -1);
fmpz_poly_div_series_divconquer(q, a, b, n);
fmpz_poly_div_series_divconquer(b, a, b, n);
result = (fmpz_poly_equal(q, b));
if (!result)
{
flint_printf("FAIL (alias q and b):\n");
flint_printf("a = "), fmpz_poly_print(a), flint_printf("\n\n");
flint_printf("b = "), fmpz_poly_print(b), flint_printf("\n\n");
flint_printf("q = "), fmpz_poly_print(q), flint_printf("\n\n");
abort();
}
fmpz_poly_clear(a);
fmpz_poly_clear(b);
fmpz_poly_clear(q);
}
/* Check that Q * B == A */
for (i = 0; i < 100 * flint_test_multiplier(); i++)
{
fmpz_poly_t a, b, p, q;
slong n = n_randint(state, 50) + 1;
fmpz_poly_init(a);
fmpz_poly_init(b);
fmpz_poly_init(p);
fmpz_poly_init(q);
fmpz_poly_randtest(a, state, n_randint(state, 50) + 1, 2 + n_randint(state, 100));
fmpz_poly_randtest_not_zero(b, state, n_randint(state, 50) + 1, 2 + n_randint(state, 100));
fmpz_poly_set_coeff_si(b, 0, n_randint(state, 2) ? 1 : -1);
fmpz_poly_div_series_divconquer(q, a, b, n);
fmpz_poly_mullow(p, q, b, n);
fmpz_poly_truncate(a, n);
result = (fmpz_poly_equal(p, a));
if (!result)
{
flint_printf("FAIL (check Q * B = A):\n");
flint_printf("a = "), fmpz_poly_print(a), flint_printf("\n\n");
flint_printf("b = "), fmpz_poly_print(b), flint_printf("\n\n");
flint_printf("p = "), fmpz_poly_print(p), flint_printf("\n\n");
flint_printf("q = "), fmpz_poly_print(q), flint_printf("\n\n");
abort();
}
fmpz_poly_clear(a);
fmpz_poly_clear(b);
fmpz_poly_clear(p);
fmpz_poly_clear(q);
}
/* Check that (A * B)/B == A */
for (i = 0; i < 100 * flint_test_multiplier(); i++)
{
fmpz_poly_t a, b, p, q;
slong n = n_randint(state, 50) + 1;
fmpz_poly_init(a);
fmpz_poly_init(b);
fmpz_poly_init(p);
fmpz_poly_init(q);
fmpz_poly_randtest(a, state, n_randint(state, 50) + 1, 2 + n_randint(state, 100))
;
fmpz_poly_randtest_not_zero(b, state, n_randint(state, 50) + 1, 2 + n_randint(state, 100));
while (fmpz_is_zero(b->coeffs + 0))
fmpz_poly_randtest_not_zero(b, state, n_randint(state, 50) + 1, 2 + n_randint(state, 100));
fmpz_poly_mullow(p, a, b, n);
fmpz_poly_div_series_divconquer(q, p, b, n);
fmpz_poly_truncate(a, n);
result = (fmpz_poly_equal(q, a));
if (!result)
{
flint_printf("FAIL (check (A * B)/B = A):\n");
flint_printf("a = "), fmpz_poly_print(a), flint_printf("\n\n");
flint_printf("b = "), fmpz_poly_print(b), flint_printf("\n\n");
flint_printf("p = "), fmpz_poly_print(p), flint_printf("\n\n");
flint_printf("q = "), fmpz_poly_print(q), flint_printf("\n\n");
abort();
}
fmpz_poly_clear(a);
fmpz_poly_clear(b);
fmpz_poly_clear(p);
fmpz_poly_clear(q);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}