arb/acb/test/t-sin_pi.c
2016-04-26 17:20:05 +02:00

90 lines
2.4 KiB
C

/*
Copyright (C) 2013 Fredrik Johansson
This file is part of Arb.
Arb 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 <http://www.gnu.org/licenses/>.
*/
#include "acb.h"
int main()
{
slong iter;
flint_rand_t state;
flint_printf("sin_pi....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 1000 * arb_test_multiplier(); iter++)
{
acb_t x, y, a, b, c;
slong prec1, prec2;
prec1 = 2 + n_randint(state, 1000);
prec2 = prec1 + 30;
acb_init(x);
acb_init(y);
acb_init(a);
acb_init(b);
acb_init(c);
acb_randtest(x, state, 1 + n_randint(state, 1000), 2 + n_randint(state, 100));
acb_sin_pi(a, x, prec1);
acb_sin_pi(b, x, prec2);
/* check consistency */
if (!acb_overlaps(a, b))
{
flint_printf("FAIL: overlap\n\n");
flint_printf("x = "); acb_print(x); flint_printf("\n\n");
flint_printf("a = "); acb_print(a); flint_printf("\n\n");
flint_printf("b = "); acb_print(b); flint_printf("\n\n");
abort();
}
/* compare with cos */
arb_const_pi(acb_realref(c), prec1);
acb_mul_arb(y, x, acb_realref(c), prec1);
acb_sin(c, y, prec1);
if (!acb_overlaps(a, c))
{
flint_printf("FAIL: functional equation\n\n");
flint_printf("x = "); acb_print(x); flint_printf("\n\n");
flint_printf("y = "); acb_print(y); flint_printf("\n\n");
flint_printf("a = "); acb_print(a); flint_printf("\n\n");
flint_printf("c = "); acb_print(c); flint_printf("\n\n");
abort();
}
acb_sin_pi(x, x, prec1);
if (!acb_overlaps(a, x))
{
flint_printf("FAIL: aliasing\n\n");
flint_printf("a = "); acb_print(a); flint_printf("\n\n");
flint_printf("x = "); acb_print(x); flint_printf("\n\n");
abort();
}
acb_clear(x);
acb_clear(y);
acb_clear(a);
acb_clear(b);
acb_clear(c);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}