mirror of
https://github.com/vale981/arb
synced 2025-03-05 09:21:38 -05:00
56 lines
1.3 KiB
C
56 lines
1.3 KiB
C
/*
|
|
Copyright (C) 2012 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_exp_pi_i(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_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
|
|
}
|
|
|