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fea681da 1.\" Copyright 2002 Walter Harms (walter.harms@informatik.uni-oldenburg.de)
2297bf0e 2.\"
95fb8859 3.\" SPDX-License-Identifier: GPL-1.0-or-later
fea681da 4.\"
45186a5d 5.TH CASINH 3 2021-03-22 "Linux man-pages (unreleased)"
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6.SH NAME
7casinh, casinhf, casinhl \- complex arc sine hyperbolic
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8.SH LIBRARY
9Math library
8fc3b2cf 10.RI ( libm ", " \-lm )
fea681da 11.SH SYNOPSIS
c7db92b9 12.nf
fea681da 13.B #include <complex.h>
68e4db0a 14.PP
c13182ef 15.BI "double complex casinh(double complex " z );
fea681da 16.BI "float complex casinhf(float complex " z );
fea681da 17.BI "long double complex casinhl(long double complex " z );
c7db92b9 18.fi
fea681da 19.SH DESCRIPTION
5600f73a 20These functions calculate the complex arc hyperbolic sine of
daac0b39 21.IR z .
1ae6b2c7 22If \fIy\~=\~casinh(z)\fP, then \fIz\~=\~csinh(y)\fP.
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23The imaginary part of
24.I y
25is chosen in the interval [\-pi/2,pi/2].
dd3568a1 26.PP
daac0b39 27One has:
207050fa 28.PP
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29.in +4n
30.EX
31casinh(z) = clog(z + csqrt(z * z + 1))
32.EE
33.in
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34.SH VERSIONS
35These functions first appeared in glibc in version 2.1.
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36.SH ATTRIBUTES
37For an explanation of the terms used in this section, see
38.BR attributes (7).
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39.ad l
40.nh
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41.TS
42allbox;
c466875e 43lbx lb lb
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44l l l.
45Interface Attribute Value
46T{
47.BR casinh (),
48.BR casinhf (),
49.BR casinhl ()
50T} Thread safety MT-Safe
51.TE
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52.hy
53.ad
54.sp 1
3113c7f3 55.SH STANDARDS
9a74e018 56C99, POSIX.1-2001, POSIX.1-2008.
47297adb 57.SH SEE ALSO
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58.BR asinh (3),
59.BR cabs (3),
60.BR cimag (3),
5be56312 61.BR csinh (3),
a8bda636 62.BR complex (7)