arb/acb/cos_pi.c

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2014-05-15 16:36:30 +02:00
/*=============================================================================
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) 2013 Fredrik Johansson
******************************************************************************/
#include "acb.h"
void
acb_cos_pi(acb_t r, const acb_t z, long 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
}