1994-08-19 09:40:01 +00:00
|
|
|
.\" Copyright (c) 1991 Regents of the University of California.
|
|
|
|
.\" All rights reserved.
|
|
|
|
.\"
|
|
|
|
.\" Redistribution and use in source and binary forms, with or without
|
|
|
|
.\" modification, are permitted provided that the following conditions
|
|
|
|
.\" are met:
|
|
|
|
.\" 1. Redistributions of source code must retain the above copyright
|
|
|
|
.\" notice, this list of conditions and the following disclaimer.
|
|
|
|
.\" 2. Redistributions in binary form must reproduce the above copyright
|
|
|
|
.\" notice, this list of conditions and the following disclaimer in the
|
|
|
|
.\" documentation and/or other materials provided with the distribution.
|
|
|
|
.\" 4. Neither the name of the University nor the names of its contributors
|
|
|
|
.\" may be used to endorse or promote products derived from this software
|
|
|
|
.\" without specific prior written permission.
|
|
|
|
.\"
|
|
|
|
.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
|
|
|
|
.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
|
|
|
|
.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
|
|
|
|
.\" ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
|
|
|
|
.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
|
|
|
|
.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
|
|
|
|
.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
|
|
|
|
.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
|
|
|
|
.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
|
|
|
|
.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
|
|
|
|
.\" SUCH DAMAGE.
|
|
|
|
.\"
|
|
|
|
.\" from: @(#)acosh.3 5.2 (Berkeley) 5/6/91
|
1999-08-28 00:22:10 +00:00
|
|
|
.\" $FreeBSD$
|
1994-08-19 09:40:01 +00:00
|
|
|
.\"
|
2005-01-14 23:28:28 +00:00
|
|
|
.Dd January 14, 2005
|
1994-08-19 09:40:01 +00:00
|
|
|
.Dt ACOSH 3
|
2001-07-10 13:41:46 +00:00
|
|
|
.Os
|
1994-08-19 09:40:01 +00:00
|
|
|
.Sh NAME
|
1995-03-01 05:06:48 +00:00
|
|
|
.Nm acosh ,
|
|
|
|
.Nm acoshf
|
|
|
|
.Nd inverse hyperbolic cosine functions
|
2001-10-13 12:23:23 +00:00
|
|
|
.Sh LIBRARY
|
|
|
|
.Lb libm
|
1994-08-19 09:40:01 +00:00
|
|
|
.Sh SYNOPSIS
|
2001-10-01 16:09:29 +00:00
|
|
|
.In math.h
|
1994-08-19 09:40:01 +00:00
|
|
|
.Ft double
|
|
|
|
.Fn acosh "double x"
|
1995-03-01 05:06:48 +00:00
|
|
|
.Ft float
|
|
|
|
.Fn acoshf "float x"
|
1994-08-19 09:40:01 +00:00
|
|
|
.Sh DESCRIPTION
|
|
|
|
The
|
|
|
|
.Fn acosh
|
2001-07-15 07:53:42 +00:00
|
|
|
and the
|
1995-03-01 05:06:48 +00:00
|
|
|
.Fn acoshf
|
|
|
|
functions compute the inverse hyperbolic cosine
|
1994-08-19 09:40:01 +00:00
|
|
|
of the real
|
|
|
|
argument
|
|
|
|
.Ar x .
|
|
|
|
For a discussion of error due to roundoff, see
|
|
|
|
.Xr math 3 .
|
|
|
|
.Sh RETURN VALUES
|
|
|
|
The
|
|
|
|
.Fn acosh
|
2001-07-15 07:53:42 +00:00
|
|
|
and the
|
1995-03-01 05:06:48 +00:00
|
|
|
.Fn acoshf
|
|
|
|
functions
|
|
|
|
return the inverse hyperbolic cosine of
|
1994-08-19 09:40:01 +00:00
|
|
|
.Ar x .
|
2005-01-14 23:28:28 +00:00
|
|
|
If the argument is less than 1,
|
1994-08-19 09:40:01 +00:00
|
|
|
.Fn acosh
|
2005-01-14 23:28:28 +00:00
|
|
|
raises an invalid exception and returns an \*(Na.
|
1994-08-19 09:40:01 +00:00
|
|
|
.Sh SEE ALSO
|
|
|
|
.Xr asinh 3 ,
|
|
|
|
.Xr atanh 3 ,
|
|
|
|
.Xr exp 3 ,
|
2005-01-14 23:28:28 +00:00
|
|
|
.Xr fenv 3 ,
|
1994-08-19 09:40:01 +00:00
|
|
|
.Xr math 3
|
|
|
|
.Sh HISTORY
|
|
|
|
The
|
|
|
|
.Fn acosh
|
2001-07-15 07:53:42 +00:00
|
|
|
function appeared in
|
1994-08-19 09:40:01 +00:00
|
|
|
.Bx 4.3 .
|