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1 /* $OpenBSD: s_catanhl.c,v 1.1 2011/07/08 19:25:31 martynas Exp $ */
3 /*
4 * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>
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.
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.
19 /* catanhl
21 * Complex inverse hyperbolic tangent
25 * SYNOPSIS:
27 * long double complex catanhl();
28 * long double complex z, w;
30 * w = catanhl (z);
34 * DESCRIPTION:
36 * Inverse tanh, equal to -i catan (iz);
38 * ACCURACY:
40 * Relative error:
41 * arithmetic domain # trials peak rms
42 * IEEE -10,+10 30000 2.3e-16 6.2e-17
46 #include <complex.h>
47 #include "math.h"
49 long double complex
50 catanhl(long double complex z)
52 long double complex w;
54 w = -1.0L * I * catanl(z * I);
55 return (w);