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fea681da | 1 | .\" Copyright 2002 Walter Harms (walter.harms@informatik.uni-oldenburg.de) |
849ef4a8 | 2 | .\" and Copyright (C) 2011 Michael Kerrisk <mtk.manpages@gamil.com> |
2297bf0e | 3 | .\" |
38f20bb9 | 4 | .\" %%%LICENSE_START(GPL_NOVERSION_ONELINE) |
fea681da | 5 | .\" Distributed under GPL |
38f20bb9 | 6 | .\" %%%LICENSE_END |
fea681da | 7 | .\" |
fe0fefbf | 8 | .TH CATANH 3 2015-03-02 "" "Linux Programmer's Manual" |
fea681da MK |
9 | .SH NAME |
10 | catanh, catanhf, catanhl \- complex arc tangents hyperbolic | |
11 | .SH SYNOPSIS | |
12 | .B #include <complex.h> | |
13 | .sp | |
c13182ef | 14 | .BI "double complex catanh(double complex " z ); |
d39541ec | 15 | .br |
fea681da | 16 | .BI "float complex catanhf(float complex " z ); |
d39541ec | 17 | .br |
fea681da MK |
18 | .BI "long double complex catanhl(long double complex " z ); |
19 | .sp | |
20c58d70 | 20 | Link with \fI\-lm\fP. |
fea681da | 21 | .SH DESCRIPTION |
c13182ef MK |
22 | The |
23 | .BR catanh () | |
eaf3ef8a | 24 | function calculates the complex arc hyperbolic tangent of |
daac0b39 MK |
25 | .IR z . |
26 | If \fIy\ =\ catanh(z)\fP, then \fIz\ =\ ctanh(y)\fP. | |
27 | The imaginary part of | |
28 | .I y | |
29 | is chosen in the interval [\-pi/2,pi/2]. | |
fea681da | 30 | .LP |
daac0b39 MK |
31 | One has: |
32 | .nf | |
33 | ||
4c3fa19d | 34 | catanh(z) = 0.5 * (clog(1 + z) \- clog(1 \- z)) |
daac0b39 | 35 | .fi |
f0d7ce1d MK |
36 | .SH VERSIONS |
37 | These functions first appeared in glibc in version 2.1. | |
0b3cafe3 MS |
38 | .SH ATTRIBUTES |
39 | For an explanation of the terms used in this section, see | |
40 | .BR attributes (7). | |
41 | .TS | |
42 | allbox; | |
43 | lbw30 lb lb | |
44 | l l l. | |
45 | Interface Attribute Value | |
46 | T{ | |
47 | .BR catanh (), | |
48 | .BR catanhf (), | |
49 | .BR catanhl () | |
50 | T} Thread safety MT-Safe | |
51 | .TE | |
47297adb | 52 | .SH CONFORMING TO |
553dbcef | 53 | C99, POSIX.1-2001. |
849ef4a8 MK |
54 | .SH EXAMPLE |
55 | .nf | |
56 | /* Link with "\-lm" */ | |
57 | ||
58 | #include <complex.h> | |
59 | #include <stdlib.h> | |
60 | #include <unistd.h> | |
61 | #include <stdio.h> | |
62 | ||
63 | int | |
64 | main(int argc, char *argv[]) | |
65 | { | |
66 | double complex z, c, f; | |
67 | ||
68 | if (argc != 3) { | |
69 | fprintf(stderr, "Usage: %s <real> <imag>\\n", argv[0]); | |
70 | exit(EXIT_FAILURE); | |
71 | } | |
72 | ||
73 | z = atof(argv[1]) + atof(argv[2]) * I; | |
74 | ||
75 | c = catanh(z); | |
76 | printf("catanh() = %6.3f %6.3f*i\\n", creal(c), cimag(c)); | |
77 | ||
78 | f = 0.5 * (clog(1 + z) \- clog(1 \- z)); | |
79 | printf("formula = %6.3f %6.3f*i\\n", creal(f2), cimag(f2)); | |
80 | ||
81 | exit(EXIT_SUCCESS); | |
82 | } | |
83 | .fi | |
47297adb | 84 | .SH SEE ALSO |
fea681da MK |
85 | .BR atanh (3), |
86 | .BR cabs (3), | |
87 | .BR cimag (3), | |
5be56312 | 88 | .BR ctanh (3), |
a8bda636 | 89 | .BR complex (7) |