1 /* $OpenBSD: s_ccoshf.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 /* ccoshf
19 *
20 * Complex hyperbolic cosine
21 *
22 *
23 *
24 * SYNOPSIS:
25 *
26 * float complex ccoshf();
27 * float complex z, w;
28 *
29 * w = ccoshf (z);
30 *
31 *
32 *
33 * DESCRIPTION:
34 *
35 * ccosh(z) = cosh x cos y + i sinh x sin y .
36 *
37 * ACCURACY:
38 *
39 * Relative error:
40 * arithmetic domain # trials peak rms
41 * IEEE -10,+10 30000 2.9e-16 8.1e-17
42 *
43 */
44
45 #include <complex.h>
46 #include <math.h>
47
48 float complex
ccoshf(float complex z)49 ccoshf(float complex z)
50 {
51 float complex w;
52 float x, y;
53
54 x = crealf(z);
55 y = cimagf(z);
56 w = coshf (x) * cosf (y) + (sinhf (x) * sinf (y)) * I;
57 return (w);
58 }
59