flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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
49
50
51
52
53
54
55
56
57

/*
    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_sin_cos(acb_t s, acb_t c, const acb_t z, slong prec)
{
#define a acb_realref(z)
#define b acb_imagref(z)
    if (arb_is_zero(b))
    {
        arb_sin_cos(acb_realref(s), acb_realref(c), a, prec);
        arb_zero(acb_imagref(s));
        arb_zero(acb_imagref(c));
    }
    else if (arb_is_zero(a))
    {
        arb_sinh_cosh(acb_imagref(s), acb_realref(c), b, prec);
        arb_zero(acb_realref(s));
        arb_zero(acb_imagref(c));
    }
    else
    {
        arb_t sa, ca, sb, cb;

        arb_init(sa);
        arb_init(ca);
        arb_init(sb);
        arb_init(cb);

        arb_sin_cos(sa, ca, a, prec);
        arb_sinh_cosh(sb, cb, b, prec);

        arb_mul(acb_realref(s), sa, cb, prec);
        arb_mul(acb_imagref(s), sb, ca, prec);

        arb_mul(acb_realref(c), ca, cb, prec);
        arb_mul(acb_imagref(c), sa, sb, prec);
        arb_neg(acb_imagref(c), acb_imagref(c));

        arb_clear(sa);
        arb_clear(ca);
        arb_clear(sb);
        arb_clear(cb);
    }
#undef a
#undef b
}