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
48long double complex
49csinhl(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