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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)"
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7.SH NAME
8casinh, casinhf, casinhl \- complex arc sine hyperbolic
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9.SH LIBRARY
10Math 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 21These functions calculate the complex arc hyperbolic sine of
daac0b39 22.IR z .
1ae6b2c7 23If \fIy\~=\~casinh(z)\fP, then \fIz\~=\~csinh(y)\fP.
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MK
24The imaginary part of
25.I y
26is chosen in the interval [\-pi/2,pi/2].
dd3568a1 27.PP
daac0b39 28One has:
207050fa 29.PP
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30.in +4n
31.EX
32casinh(z) = clog(z + csqrt(z * z + 1))
33.EE
34.in
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35.SH ATTRIBUTES
36For an explanation of the terms used in this section, see
37.BR attributes (7).
38.TS
39allbox;
c466875e 40lbx lb lb
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41l l l.
42Interface Attribute Value
43T{
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BR
44.na
45.nh
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46.BR casinh (),
47.BR casinhf (),
48.BR casinhl ()
49T} Thread safety MT-Safe
50.TE
c466875e 51.sp 1
3113c7f3 52.SH STANDARDS
4131356c
AC
53C11, POSIX.1-2008.
54.SH HISTORY
55glibc 2.1.
56C99, POSIX.1-2001.
47297adb 57.SH SEE ALSO
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MK
58.BR asinh (3),
59.BR cabs (3),
60.BR cimag (3),
5be56312 61.BR csinh (3),
a8bda636 62.BR complex (7)