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fea681da 1.\" Copyright 2002 Walter Harms (walter.harms@informatik.uni-oldenburg.de)
2297bf0e 2.\"
38f20bb9 3.\" %%%LICENSE_START(GPL_NOVERSION_ONELINE)
fea681da 4.\" Distributed under GPL
38f20bb9 5.\" %%%LICENSE_END
fea681da 6.\"
fe0fefbf 7.TH CASINH 3 2015-03-02 "" "Linux Programmer's Manual"
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8.SH NAME
9casinh, casinhf, casinhl \- complex arc sine hyperbolic
10.SH SYNOPSIS
11.B #include <complex.h>
12.sp
c13182ef 13.BI "double complex casinh(double complex " z );
d39541ec 14.br
fea681da 15.BI "float complex casinhf(float complex " z );
d39541ec 16.br
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17.BI "long double complex casinhl(long double complex " z );
18.sp
20c58d70 19Link with \fI\-lm\fP.
fea681da 20.SH DESCRIPTION
c13182ef 21The
b5cc2ffb 22.BR casinh ()
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23function calculates the complex arc hyperbolic sine of
24.IR z .
25If \fIy\ =\ casinh(z)\fP, then \fIz\ =\ csinh(y)\fP.
26The imaginary part of
27.I y
28is chosen in the interval [\-pi/2,pi/2].
fea681da 29.LP
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30One has:
31.nf
32
33 casinh(z) = clog(z + csqrt(z * z + 1))
34.fi
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35.SH VERSIONS
36These functions first appeared in glibc in version 2.1.
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37.SH ATTRIBUTES
38For an explanation of the terms used in this section, see
39.BR attributes (7).
40.TS
41allbox;
42lbw30 lb lb
43l l l.
44Interface Attribute Value
45T{
46.BR casinh (),
47.BR casinhf (),
48.BR casinhl ()
49T} Thread safety MT-Safe
50.TE
47297adb 51.SH CONFORMING TO
9a74e018 52C99, POSIX.1-2001, POSIX.1-2008.
47297adb 53.SH SEE ALSO
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54.BR asinh (3),
55.BR cabs (3),
56.BR cimag (3),
5be56312 57.BR csinh (3),
a8bda636 58.BR complex (7)