arb/acb_poly/test/t-sin_cos_series_basecase.c

111 lines
3.3 KiB
C

/*=============================================================================
This file is part of ARB.
ARB 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.
ARB 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 ARB; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
=============================================================================*/
/******************************************************************************
Copyright (C) 2012, 2013 Fredrik Johansson
******************************************************************************/
#include "acb_poly.h"
int main()
{
slong iter;
flint_rand_t state;
flint_printf("sin_cos_series_basecase....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 1000; iter++)
{
slong m, n, rbits1, rbits2;
fmpq_poly_t B;
acb_poly_t a, b, c, d, e;
int times_pi;
rbits1 = 2 + n_randint(state, 200);
rbits2 = 2 + n_randint(state, 200);
m = 1 + n_randint(state, 30);
n = 1 + n_randint(state, 30);
times_pi = n_randint(state, 2);
fmpq_poly_init(B);
acb_poly_init(a);
acb_poly_init(b);
acb_poly_init(c);
acb_poly_init(d);
acb_poly_init(e);
acb_poly_randtest(a, state, m, rbits1, 10);
acb_poly_sin_cos_series_basecase(b, c, a, n, rbits2, times_pi);
/* Check sin(x)^2 + cos(x)^2 = 1 */
acb_poly_mullow(d, b, b, n, rbits2);
acb_poly_mullow(e, c, c, n, rbits2);
acb_poly_add(d, d, e, rbits2);
fmpq_poly_one(B);
if (!acb_poly_contains_fmpq_poly(d, B))
{
flint_printf("FAIL\n\n");
flint_printf("bits2 = %wd\n", rbits2);
flint_printf("a = "); acb_poly_printd(a, 15); flint_printf("\n\n");
flint_printf("b = "); acb_poly_printd(b, 15); flint_printf("\n\n");
flint_printf("c = "); acb_poly_printd(c, 15); flint_printf("\n\n");
flint_printf("d = "); acb_poly_printd(d, 15); flint_printf("\n\n");
abort();
}
acb_poly_set(d, a);
acb_poly_sin_cos_series_basecase(d, c, d, n, rbits2, times_pi);
if (!acb_poly_equal(b, d))
{
flint_printf("FAIL (aliasing 1)\n\n");
abort();
}
acb_poly_set(d, a);
acb_poly_sin_cos_series_basecase(b, d, d, n, rbits2, times_pi);
if (!acb_poly_equal(c, d))
{
flint_printf("FAIL (aliasing 2)\n\n");
abort();
}
fmpq_poly_clear(B);
acb_poly_clear(a);
acb_poly_clear(b);
acb_poly_clear(c);
acb_poly_clear(d);
acb_poly_clear(e);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}