arb/acb/exp_pi_i.c
2014-10-06 15:09:37 +02:00

70 lines
2 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 Fredrik Johansson
******************************************************************************/
#include "acb.h"
void
acb_exp_pi_i(acb_t r, const acb_t z, long prec)
{
#define a acb_realref(z)
#define b acb_imagref(z)
if (arb_is_zero(b))
{
arb_sin_cos_pi(acb_imagref(r), acb_realref(r), a, prec);
}
else if (arb_is_zero(a))
{
arb_const_pi(acb_realref(r), prec);
arb_mul(acb_realref(r), acb_realref(r), b, prec);
arb_neg(acb_realref(r), acb_realref(r));
arb_exp(acb_realref(r), acb_realref(r), prec);
arb_zero(acb_imagref(r));
}
else
{
arb_t t, u, v;
arb_init(t);
arb_init(u);
arb_init(v);
arb_const_pi(t, prec);
arb_mul(t, t, b, prec);
arb_neg(t, t);
arb_exp(t, t, prec);
arb_sin_cos_pi(u, v, a, prec);
arb_mul(acb_realref(r), t, v, prec);
arb_mul(acb_imagref(r), t, u, prec);
arb_clear(t);
arb_clear(u);
arb_clear(v);
}
#undef a
#undef b
}