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.\" $OpenBSD: casin.3,v 1.1 2011/07/20 17:50:43 martynas Exp $
.\"
.\" Copyright (c) 2011 Martynas Venckus <martynas@openbsd.org>
.\"
.\" Permission to use, copy, modify, and distribute this software for any
.\" purpose with or without fee is hereby granted, provided that the above
.\" copyright notice and this permission notice appear in all copies.
.\"
.\" THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
.\" WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
.\" MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
.\" ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
.\" WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
.\" ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
.\" OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
.\"
.Dd $Mdocdate: July 20 2011 $
.Dt CASIN 3
.Os
.Sh NAME
.Nm casin ,
.Nm casinf ,
.Nm casinl
.Nd complex circular arc sine
.Sh SYNOPSIS
.Fd #include <complex.h>
.Ft double complex
.Fn casin "double complex z"
.Ft float complex
.Fn casinf "float complex z"
.Ft long double complex
.Fn casinl "long double complex z"
.Sh DESCRIPTION
The
.Fn casin ,
.Fn casinf
and
.Fn casinl
functions compute the complex circular arc sine of
.Fa z .
.Pp
For all complex floating-point numbers
.Fa z ,
.Bd -literal -offset indent
casin(z) = -i clog(iz + csqrt(1 - z^2)).
.Ed
.Sh RETURN VALUES
The
.Fn casin ,
.Fn casinf
and
.Fn casinl
functions return the complex circular arc sine of
.Fa z
with unbounded imaginary part, and real part in the interval
.Bq -Pi/2, Pi/2 .
.Sh SEE ALSO
.Xr cacos 3 ,
.Xr catan 3
.Sh STANDARDS
The
.Fn casin ,
.Fn casinf
and
.Fn casinl
functions conform to
.St -isoC-99 .
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