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

44 lines
966 B
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"
void
acb_cos_pi(acb_t r, const acb_t z, slong prec)
{
#define a acb_realref(z)
#define b acb_imagref(z)
arb_t sa, ca, sb, cb;
arb_init(sa);
arb_init(ca);
arb_init(sb);
arb_init(cb);
arb_sin_cos_pi(sa, ca, a, prec);
arb_const_pi(cb, prec);
arb_mul(cb, cb, b, prec);
arb_sinh_cosh(sb, cb, cb, prec);
arb_mul(acb_realref(r), ca, cb, prec);
arb_mul(acb_imagref(r), sa, sb, prec);
arb_neg(acb_imagref(r), acb_imagref(r));
arb_clear(sa);
arb_clear(ca);
arb_clear(sb);
arb_clear(cb);
#undef a
#undef b
}