1/*	$OpenBSD: s_cacoshl.c,v 1.2 2015/07/16 13:42:06 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/*							cacoshl
20 *
21 *	Complex inverse hyperbolic cosine
22 *
23 *
24 *
25 * SYNOPSIS:
26 *
27 * long double complex cacoshl();
28 * long double complex z, w;
29 *
30 * w = cacoshl (z);
31 *
32 *
33 *
34 * DESCRIPTION:
35 *
36 * acosh z = i acos z .
37 *
38 * ACCURACY:
39 *
40 *                      Relative error:
41 * arithmetic   domain     # trials      peak         rms
42 *    IEEE      -10,+10     30000       1.6e-14     2.1e-15
43 *
44 */
45
46#include <complex.h>
47#include <math.h>
48
49long double complex
50cacoshl(long double complex z)
51{
52	long double complex w;
53
54	w = clogl(z + csqrtl(z + 1) * csqrtl(z - 1));
55	return (w);
56}
57