1*de3697aaSmartynas /* $OpenBSD: s_casinhl.c,v 1.1 2011/07/08 19:25:31 martynas Exp $ */
2*de3697aaSmartynas
3*de3697aaSmartynas /*
4*de3697aaSmartynas * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>
5*de3697aaSmartynas *
6*de3697aaSmartynas * Permission to use, copy, modify, and distribute this software for any
7*de3697aaSmartynas * purpose with or without fee is hereby granted, provided that the above
8*de3697aaSmartynas * copyright notice and this permission notice appear in all copies.
9*de3697aaSmartynas *
10*de3697aaSmartynas * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
11*de3697aaSmartynas * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
12*de3697aaSmartynas * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
13*de3697aaSmartynas * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
14*de3697aaSmartynas * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
15*de3697aaSmartynas * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
16*de3697aaSmartynas * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
17*de3697aaSmartynas */
18*de3697aaSmartynas
19*de3697aaSmartynas /* casinhl
20*de3697aaSmartynas *
21*de3697aaSmartynas * Complex inverse hyperbolic sine
22*de3697aaSmartynas *
23*de3697aaSmartynas *
24*de3697aaSmartynas *
25*de3697aaSmartynas * SYNOPSIS:
26*de3697aaSmartynas *
27*de3697aaSmartynas * long double complex casinhf();
28*de3697aaSmartynas * long double complex z, w;
29*de3697aaSmartynas *
30*de3697aaSmartynas * w = casinhl (z);
31*de3697aaSmartynas *
32*de3697aaSmartynas *
33*de3697aaSmartynas *
34*de3697aaSmartynas * DESCRIPTION:
35*de3697aaSmartynas *
36*de3697aaSmartynas * casinh z = -i casin iz .
37*de3697aaSmartynas *
38*de3697aaSmartynas * ACCURACY:
39*de3697aaSmartynas *
40*de3697aaSmartynas * Relative error:
41*de3697aaSmartynas * arithmetic domain # trials peak rms
42*de3697aaSmartynas * IEEE -10,+10 30000 1.8e-14 2.6e-15
43*de3697aaSmartynas *
44*de3697aaSmartynas */
45*de3697aaSmartynas
46*de3697aaSmartynas #include <complex.h>
47*de3697aaSmartynas #include <math.h>
48*de3697aaSmartynas
49*de3697aaSmartynas long double complex
casinhl(long double complex z)50*de3697aaSmartynas casinhl(long double complex z)
51*de3697aaSmartynas {
52*de3697aaSmartynas long double complex w;
53*de3697aaSmartynas
54*de3697aaSmartynas w = -1.0L * I * casinl(z * I);
55*de3697aaSmartynas return (w);
56*de3697aaSmartynas }
57