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/*
Copyright (C) 2013 Fredrik Johansson
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 "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)
if (arb_is_zero(b))
{
arb_cos_pi(acb_realref(r), a, prec);
arb_zero(acb_imagref(r));
}
else if (arb_is_zero(a))
{
arb_t t;
arb_init(t);
arb_const_pi(t, prec);
arb_mul(t, t, b, prec);
arb_cosh(acb_realref(r), t, prec);
arb_zero(acb_imagref(r));
arb_clear(t);
}
else
{
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
}