mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
70 lines
2 KiB
C
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
|
|
}
|
|
|