1*05a0b428SJohn Marino /* $OpenBSD: s_csinhl.c,v 1.2 2011/07/20 19:28:33 martynas Exp $ */
2*05a0b428SJohn Marino
3*05a0b428SJohn Marino /*
4*05a0b428SJohn Marino * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>
5*05a0b428SJohn Marino *
6*05a0b428SJohn Marino * Permission to use, copy, modify, and distribute this software for any
7*05a0b428SJohn Marino * purpose with or without fee is hereby granted, provided that the above
8*05a0b428SJohn Marino * copyright notice and this permission notice appear in all copies.
9*05a0b428SJohn Marino *
10*05a0b428SJohn Marino * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
11*05a0b428SJohn Marino * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
12*05a0b428SJohn Marino * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
13*05a0b428SJohn Marino * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
14*05a0b428SJohn Marino * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
15*05a0b428SJohn Marino * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
16*05a0b428SJohn Marino * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
17*05a0b428SJohn Marino */
18*05a0b428SJohn Marino
19*05a0b428SJohn Marino /* csinhl
20*05a0b428SJohn Marino *
21*05a0b428SJohn Marino * Complex hyperbolic sine
22*05a0b428SJohn Marino *
23*05a0b428SJohn Marino *
24*05a0b428SJohn Marino *
25*05a0b428SJohn Marino * SYNOPSIS:
26*05a0b428SJohn Marino *
27*05a0b428SJohn Marino * long double complex csinhl();
28*05a0b428SJohn Marino * long double complex z, w;
29*05a0b428SJohn Marino *
30*05a0b428SJohn Marino * w = csinhl (z);
31*05a0b428SJohn Marino *
32*05a0b428SJohn Marino * DESCRIPTION:
33*05a0b428SJohn Marino *
34*05a0b428SJohn Marino * csinh z = (cexp(z) - cexp(-z))/2
35*05a0b428SJohn Marino * = sinh x * cos y + i cosh x * sin y .
36*05a0b428SJohn Marino *
37*05a0b428SJohn Marino * ACCURACY:
38*05a0b428SJohn Marino *
39*05a0b428SJohn Marino * Relative error:
40*05a0b428SJohn Marino * arithmetic domain # trials peak rms
41*05a0b428SJohn Marino * IEEE -10,+10 30000 3.1e-16 8.2e-17
42*05a0b428SJohn Marino *
43*05a0b428SJohn Marino */
44*05a0b428SJohn Marino
45*05a0b428SJohn Marino #include <complex.h>
46*05a0b428SJohn Marino #include <math.h>
47*05a0b428SJohn Marino
48*05a0b428SJohn Marino long double complex
csinhl(long double complex z)49*05a0b428SJohn Marino csinhl(long double complex z)
50*05a0b428SJohn Marino {
51*05a0b428SJohn Marino long double complex w;
52*05a0b428SJohn Marino long double x, y;
53*05a0b428SJohn Marino
54*05a0b428SJohn Marino x = creall(z);
55*05a0b428SJohn Marino y = cimagl(z);
56*05a0b428SJohn Marino w = sinhl(x) * cosl(y) + (coshl(x) * sinl(y)) * I;
57*05a0b428SJohn Marino return (w);
58*05a0b428SJohn Marino }
59