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
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