1.\" $OpenBSD: atanh.3,v 1.18 2016/04/27 06:44:54 jmc Exp $ 2.\" Copyright (c) 1985, 1991 Regents of the University of California. 3.\" All rights reserved. 4.\" 5.\" Redistribution and use in source and binary forms, with or without 6.\" modification, are permitted provided that the following conditions 7.\" are met: 8.\" 1. Redistributions of source code must retain the above copyright 9.\" notice, this list of conditions and the following disclaimer. 10.\" 2. Redistributions in binary form must reproduce the above copyright 11.\" notice, this list of conditions and the following disclaimer in the 12.\" documentation and/or other materials provided with the distribution. 13.\" 3. Neither the name of the University nor the names of its contributors 14.\" may be used to endorse or promote products derived from this software 15.\" without specific prior written permission. 16.\" 17.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND 18.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 19.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 20.\" ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE 21.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 22.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 23.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 24.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 25.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 26.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 27.\" SUCH DAMAGE. 28.\" 29.\" from: @(#)atanh.3 5.2 (Berkeley) 5/6/91 30.\" 31.Dd $Mdocdate: April 27 2016 $ 32.Dt ATANH 3 33.Os 34.Sh NAME 35.Nm atanh , 36.Nm atanhf , 37.Nm atanhl 38.Nd inverse hyperbolic tangent functions 39.Sh SYNOPSIS 40.In math.h 41.Ft double 42.Fn atanh "double x" 43.Ft float 44.Fn atanhf "float x" 45.Ft long double 46.Fn atanhl "long double x" 47.Sh DESCRIPTION 48The 49.Fn atanh 50function computes the inverse hyperbolic tangent 51of the real 52argument 53.Ar x . 54The 55.Fn atanhf 56function is a single precision version of 57.Fn atanh . 58The 59.Fn atanhl 60function is an extended precision version of 61.Fn atanh . 62.Sh RETURN VALUES 63If |x|>=1, 64.Fn atanh "x" , 65.Fn atanhf "x" 66and 67.Fn atanhl "x" 68return +infinity, -infinity or NaN, and set the global variable 69.Va errno 70to EDOM. 71.Sh SEE ALSO 72.Xr acosh 3 , 73.Xr asinh 3 , 74.Xr exp 3 , 75.Xr fpclassify 3 76.Sh HISTORY 77The 78.Fn atanh 79function appeared in 80.Bx 4.3 . 81