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Commit | Line | Data |
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a1eaacb1 | 1 | '\" t |
fea681da | 2 | .\" Copyright 2002 Walter Harms (walter.harms@informatik.uni-oldenburg.de) |
2297bf0e | 3 | .\" |
95fb8859 | 4 | .\" SPDX-License-Identifier: GPL-1.0-or-later |
fea681da | 5 | .\" |
4c1c5274 | 6 | .TH casinh 3 (date) "Linux man-pages (unreleased)" |
fea681da MK |
7 | .SH NAME |
8 | casinh, casinhf, casinhl \- complex arc sine hyperbolic | |
2af19291 AC |
9 | .SH LIBRARY |
10 | Math library | |
8fc3b2cf | 11 | .RI ( libm ", " \-lm ) |
fea681da | 12 | .SH SYNOPSIS |
c7db92b9 | 13 | .nf |
fea681da | 14 | .B #include <complex.h> |
68e4db0a | 15 | .PP |
c13182ef | 16 | .BI "double complex casinh(double complex " z ); |
fea681da | 17 | .BI "float complex casinhf(float complex " z ); |
fea681da | 18 | .BI "long double complex casinhl(long double complex " z ); |
c7db92b9 | 19 | .fi |
fea681da | 20 | .SH DESCRIPTION |
5600f73a | 21 | These functions calculate the complex arc hyperbolic sine of |
daac0b39 | 22 | .IR z . |
1ae6b2c7 | 23 | If \fIy\~=\~casinh(z)\fP, then \fIz\~=\~csinh(y)\fP. |
daac0b39 MK |
24 | The imaginary part of |
25 | .I y | |
26 | is chosen in the interval [\-pi/2,pi/2]. | |
dd3568a1 | 27 | .PP |
daac0b39 | 28 | One has: |
207050fa | 29 | .PP |
1ae6b2c7 AC |
30 | .in +4n |
31 | .EX | |
32 | casinh(z) = clog(z + csqrt(z * z + 1)) | |
33 | .EE | |
34 | .in | |
9ed4c033 MS |
35 | .SH ATTRIBUTES |
36 | For an explanation of the terms used in this section, see | |
37 | .BR attributes (7). | |
38 | .TS | |
39 | allbox; | |
c466875e | 40 | lbx lb lb |
9ed4c033 MS |
41 | l l l. |
42 | Interface Attribute Value | |
43 | T{ | |
9e54434e BR |
44 | .na |
45 | .nh | |
9ed4c033 MS |
46 | .BR casinh (), |
47 | .BR casinhf (), | |
48 | .BR casinhl () | |
49 | T} Thread safety MT-Safe | |
50 | .TE | |
c466875e | 51 | .sp 1 |
3113c7f3 | 52 | .SH STANDARDS |
4131356c AC |
53 | C11, POSIX.1-2008. |
54 | .SH HISTORY | |
55 | glibc 2.1. | |
56 | C99, POSIX.1-2001. | |
47297adb | 57 | .SH SEE ALSO |
fea681da MK |
58 | .BR asinh (3), |
59 | .BR cabs (3), | |
60 | .BR cimag (3), | |
5be56312 | 61 | .BR csinh (3), |
a8bda636 | 62 | .BR complex (7) |