1 /* $OpenBSD: s_csinhl.c,v 1.2 2011/07/20 19:28:33 martynas Exp $ */
2
3 /*
4 * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>
5 *
6 * Permission to use, copy, modify, and distribute this software for any
7 * purpose with or without fee is hereby granted, provided that the above
8 * copyright notice and this permission notice appear in all copies.
9 *
10 * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
11 * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
12 * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
13 * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
14 * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
15 * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
16 * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
17 */
18
19 /* csinhl
20 *
21 * Complex hyperbolic sine
22 *
23 *
24 *
25 * SYNOPSIS:
26 *
27 * long double complex csinhl();
28 * long double complex z, w;
29 *
30 * w = csinhl (z);
31 *
32 * DESCRIPTION:
33 *
34 * csinh z = (cexp(z) - cexp(-z))/2
35 * = sinh x * cos y + i cosh x * sin y .
36 *
37 * ACCURACY:
38 *
39 * Relative error:
40 * arithmetic domain # trials peak rms
41 * IEEE -10,+10 30000 3.1e-16 8.2e-17
42 *
43 */
44
45 #include <complex.h>
46 #include <math.h>
47
48 long double complex
csinhl(long double complex z)49 csinhl(long double complex z)
50 {
51 long double complex w;
52 long double x, y;
53
54 x = creall(z);
55 y = cimagl(z);
56 w = sinhl(x) * cosl(y) + (coshl(x) * sinl(y)) * I;
57 return (w);
58 }
59