1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
/*
Copyright (C) 2012 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_exp(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_exp(acb_realref(r), a, prec);
arb_zero(acb_imagref(r));
}
else if (arb_is_zero(a))
{
arb_sin_cos(acb_imagref(r), acb_realref(r), b, prec);
}
else
{
arb_t t, u, v;
arb_init(t);
arb_init(u);
arb_init(v);
arb_exp(t, a, prec);
arb_sin_cos(u, v, b, 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
}