1 /*
2 Copyright (C) 2012 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_cos_pi(acb_t s,acb_t c,const acb_t z,slong prec)15 acb_sin_cos_pi(acb_t s, acb_t c, 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_cos_pi(acb_realref(s), acb_realref(c), a, prec);
22 arb_zero(acb_imagref(s));
23 arb_zero(acb_imagref(c));
24 }
25 else if (arb_is_zero(a))
26 {
27 arb_t t;
28 arb_init(t);
29 arb_const_pi(t, prec);
30 arb_mul(t, t, b, prec);
31 arb_sinh_cosh(acb_imagref(s), acb_realref(c), t, prec);
32 arb_zero(acb_realref(s));
33 arb_zero(acb_imagref(c));
34 arb_clear(t);
35 }
36 else
37 {
38 arb_t sa, ca, sb, cb;
39
40 arb_init(sa);
41 arb_init(ca);
42 arb_init(sb);
43 arb_init(cb);
44
45 arb_const_pi(sb, prec);
46 arb_mul(sb, sb, b, prec);
47
48 arb_sin_cos_pi(sa, ca, a, prec);
49 arb_sinh_cosh(sb, cb, sb, prec);
50
51 arb_mul(acb_realref(s), sa, cb, prec);
52 arb_mul(acb_imagref(s), sb, ca, prec);
53
54 arb_mul(acb_realref(c), ca, cb, prec);
55 arb_mul(acb_imagref(c), sa, sb, prec);
56 arb_neg(acb_imagref(c), acb_imagref(c));
57
58 arb_clear(sa);
59 arb_clear(ca);
60 arb_clear(sb);
61 arb_clear(cb);
62 }
63 #undef a
64 #undef b
65 }
66
67