1 /* $NetBSD: catanh.c,v 1.1 2007/08/20 16:01:32 drochner Exp $ */
2 
3 /*-
4  * Copyright (c) 2007 The NetBSD Foundation, Inc.
5  * All rights reserved.
6  *
7  * This code is derived from software written by Stephen L. Moshier.
8  * It is redistributed by the NetBSD Foundation by permission of the author.
9  *
10  * Redistribution and use in source and binary forms, with or without
11  * modification, are permitted provided that the following conditions
12  * are met:
13  * 1. Redistributions of source code must retain the above copyright
14  *    notice, this list of conditions and the following disclaimer.
15  * 2. Redistributions in binary form must reproduce the above copyright
16  *    notice, this list of conditions and the following disclaimer in the
17  *    documentation and/or other materials provided with the distribution.
18  *
19  * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
20  * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
21  * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
22  * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
23  * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
24  * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
25  * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
26  * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
27  * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
28  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
29  * POSSIBILITY OF SUCH DAMAGE.
30  *
31  * imported and modified include for newlib 2010/10/03
32  * Marco Atzeri <marco_atzeri@yahoo.it>
33  */
34 
35 /*
36 FUNCTION
37         <<catanh>>, <<catanhf>>---complex arc hyperbolic tangent
38 
39 INDEX
40         catanh
41 INDEX
42         catanhf
43 
44 SYNOPSIS
45        #include <complex.h>
46        double complex catanh(double complex <[z]>);
47        float complex catanhf(float complex <[z]>);
48 
49 
50 DESCRIPTION
51         These functions compute the complex arc hyperbolic tan of <[z]>,
52         with branch cuts outside the interval [-1, +1] along the
53         real axis.
54 
55         <<catanhf>> is identical to <<catanh>>, except that it performs
56         its calculations on <<floats complex>>.
57 
58 RETURNS
59         @ifnottex
60         These functions return the complex arc hyperbolic tangent value,
61         in the range of a strip mathematically unbounded along the
62         real axis and in the interval [-i*p/2, +i*p/2] along the
63         imaginary axis.
64         @end ifnottex
65         @tex
66         These functions return the complex arc hyperbolic tangent value,
67         in the range of a strip mathematically unbounded along the
68         real axis and in the interval [$-i\pi/2$, $+i\pi/2$] along the
69         imaginary axis.
70         @end tex
71 
72 PORTABILITY
73         <<catanh>> and <<catanhf>> are ISO C99
74 
75 QUICKREF
76         <<catanh>> and <<catanhf>> are ISO C99
77 
78 */
79 
80 
81 #include <complex.h>
82 
83 double complex
catanh(double complex z)84 catanh(double complex z)
85 {
86 	double complex w;
87 
88 	w = -1.0 * (double complex) I * catan(z * (double complex) I);
89 	return w;
90 }
91