.\"	$OpenBSD: casinh.3,v 1.1 2011/07/20 17:50:43 martynas Exp $
.\"
.\" Copyright (c) 2011 Martynas Venckus <martynas@openbsd.org>
.\"
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.Dd $Mdocdate: July 20 2011 $
.Dt CASINH 3
.Os
.Sh NAME
.Nm casinh ,
.Nm casinhf ,
.Nm casinhl
.Nd complex inverse hyperbolic sine
.Sh SYNOPSIS
.Fd #include <complex.h>
.Ft double complex
.Fn casinh "double complex z"
.Ft float complex
.Fn casinhf "float complex z"
.Ft long double complex
.Fn casinhl "long double complex z"
.Sh DESCRIPTION
The
.Fn casinh ,
.Fn casinhf
and
.Fn casinhl
functions compute the complex inverse hyperbolic sine of
.Fa z .
.Pp
For all complex floating-point numbers
.Fa z ,
.Bd -literal -offset indent
casinh(z) = -i casin(iz).
.Ed
.Sh RETURN VALUES
The
.Fn casinh ,
.Fn casinhf
and
.Fn casinhl
functions return the complex inverse hyperbolic sine of
.Fa z
with imaginary part in the interval
.Bq -Pi/2, Pi/2 ,
and unbounded real part.
.Sh SEE ALSO
.Xr cacosh 3 ,
.Xr catanh 3
.Sh STANDARDS
The
.Fn casinh ,
.Fn casinhf
and
.Fn casinhl
functions conform to
.St -isoC-99 .