1 /*
2 Copyright (C) 2013 Fredrik Johansson
3
4 This file is part of Arb.
5
6 Arb is free software: you can redistribute it and/or modify it under
7 the terms of the GNU Lesser General Public License (LGPL) as published
8 by the Free Software Foundation; either version 2.1 of the License, or
9 (at your option) any later version. See <http://www.gnu.org/licenses/>.
10 */
11
12 #include "acb.h"
13
14 void
acb_sin_pi(acb_t r,const acb_t z,slong prec)15 acb_sin_pi(acb_t r, const acb_t z, slong prec)
16 {
17 #define a acb_realref(z)
18 #define b acb_imagref(z)
19 if (arb_is_zero(b))
20 {
21 arb_sin_pi(acb_realref(r), a, prec);
22 arb_zero(acb_imagref(r));
23 }
24 else if (arb_is_zero(a))
25 {
26 arb_t t;
27 arb_init(t);
28 arb_const_pi(t, prec);
29 arb_mul(t, t, b, prec);
30 arb_sinh(acb_imagref(r), t, prec);
31 arb_zero(acb_realref(r));
32 arb_clear(t);
33 }
34 else
35 {
36 arb_t sa, ca, sb, cb;
37
38 arb_init(sa);
39 arb_init(ca);
40 arb_init(sb);
41 arb_init(cb);
42
43 arb_sin_cos_pi(sa, ca, a, prec);
44 arb_const_pi(cb, prec);
45 arb_mul(cb, cb, b, prec);
46 arb_sinh_cosh(sb, cb, cb, prec);
47
48 arb_mul(acb_realref(r), sa, cb, prec);
49 arb_mul(acb_imagref(r), sb, ca, prec);
50
51 arb_clear(sa);
52 arb_clear(ca);
53 arb_clear(sb);
54 arb_clear(cb);
55 }
56 #undef a
57 #undef b
58 }
59
60