.\" Copyright 2002 Walter Harms (walter.harms@informatik.uni-oldenburg.de)
.\" Distributed under GPL
.\"
.TH CASINH 3 2008-08-11 "" "Linux Programmer's Manual"
.SH NAME
casinh, casinhf, casinhl \- complex arc sine hyperbolic
.SH SYNOPSIS
.B #include <complex.h>
.sp
.BI "double complex casinh(double complex " z );
.br
.BI "float complex casinhf(float complex " z );
.br
.BI "long double complex casinhl(long double complex " z );
.sp
Link with \fI\-lm\fP.
.SH DESCRIPTION
The
.BR casinh ()
function calculates the complex arc hyperbolic sine of
.IR z .
If \fIy\ =\ casinh(z)\fP, then \fIz\ =\ csinh(y)\fP.
The imaginary part of
.I y
is chosen in the interval [\-pi/2,pi/2].
.LP
One has:
.nf

    casinh(z) = clog(z + csqrt(z * z + 1))
.fi
.SH VERSIONS
These functions first appeared in glibc in version 2.1.
.SH "CONFORMING TO"
C99.
.SH "SEE ALSO"
.BR asinh (3),
.BR cabs (3),
.BR cimag (3),
.BR complex (7)