1 /*	$OpenBSD: s_csinhf.c,v 1.2 2010/07/18 18:42:26 guenther Exp $	*/
2 /*
3  * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>
4  *
5  * Permission to use, copy, modify, and distribute this software for any
6  * purpose with or without fee is hereby granted, provided that the above
7  * copyright notice and this permission notice appear in all copies.
8  *
9  * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
10  * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
11  * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
12  * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
13  * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
14  * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
15  * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
16  */
17 
18 /*							csinhf
19  *
20  *	Complex hyperbolic sine
21  *
22  *
23  *
24  * SYNOPSIS:
25  *
26  * float complex csinhf();
27  * float complex z, w;
28  *
29  * w = csinhf (z);
30  *
31  * DESCRIPTION:
32  *
33  * csinh z = (cexp(z) - cexp(-z))/2
34  *         = sinh x * cos y  +  i cosh x * sin y .
35  *
36  * ACCURACY:
37  *
38  *                      Relative error:
39  * arithmetic   domain     # trials      peak         rms
40  *    IEEE      -10,+10     30000       3.1e-16     8.2e-17
41  *
42  */
43 
44 #include <complex.h>
45 #include <math.h>
46 
47 float complex
48 csinhf(float complex z)
49 {
50 	float complex w;
51 	float x, y;
52 
53 	x = crealf(z);
54 	y = cimagf(z);
55 	w = sinhf (x) * cosf (y)  +  (coshf (x) * sinf (y)) * I;
56 	return (w);
57 }
58