13a8617a8SJordan K. Hubbard.\" Copyright (c) 1985, 1991 Regents of the University of California. 23a8617a8SJordan K. Hubbard.\" All rights reserved. 33a8617a8SJordan K. Hubbard.\" 43a8617a8SJordan K. Hubbard.\" Redistribution and use in source and binary forms, with or without 53a8617a8SJordan K. Hubbard.\" modification, are permitted provided that the following conditions 63a8617a8SJordan K. Hubbard.\" are met: 73a8617a8SJordan K. Hubbard.\" 1. Redistributions of source code must retain the above copyright 83a8617a8SJordan K. Hubbard.\" notice, this list of conditions and the following disclaimer. 93a8617a8SJordan K. Hubbard.\" 2. Redistributions in binary form must reproduce the above copyright 103a8617a8SJordan K. Hubbard.\" notice, this list of conditions and the following disclaimer in the 113a8617a8SJordan K. Hubbard.\" documentation and/or other materials provided with the distribution. 12fbbd9655SWarner Losh.\" 3. Neither the name of the University nor the names of its contributors 133a8617a8SJordan K. Hubbard.\" may be used to endorse or promote products derived from this software 143a8617a8SJordan K. Hubbard.\" without specific prior written permission. 153a8617a8SJordan K. Hubbard.\" 163a8617a8SJordan K. Hubbard.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND 173a8617a8SJordan K. Hubbard.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 183a8617a8SJordan K. Hubbard.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 193a8617a8SJordan K. Hubbard.\" ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE 203a8617a8SJordan K. Hubbard.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 213a8617a8SJordan K. Hubbard.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 223a8617a8SJordan K. Hubbard.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 233a8617a8SJordan K. Hubbard.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 243a8617a8SJordan K. Hubbard.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 253a8617a8SJordan K. Hubbard.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 263a8617a8SJordan K. Hubbard.\" SUCH DAMAGE. 273a8617a8SJordan K. Hubbard.\" 28998b640bSDavid Schultz.Dd June 9, 2013 293a8617a8SJordan K. Hubbard.Dt ATANH 3 30a307d598SRuslan Ermilov.Os 313a8617a8SJordan K. Hubbard.Sh NAME 327a15a32aSJordan K. Hubbard.Nm atanh , 33998b640bSDavid Schultz.Nm atanhf , 34998b640bSDavid Schultz.Nm atanhl 357a15a32aSJordan K. Hubbard.Nd inverse hyperbolic tangent functions 3664890443SBruce Evans.Sh LIBRARY 3764890443SBruce Evans.Lb libm 383a8617a8SJordan K. Hubbard.Sh SYNOPSIS 3932eef9aeSRuslan Ermilov.In math.h 403a8617a8SJordan K. Hubbard.Ft double 413a8617a8SJordan K. Hubbard.Fn atanh "double x" 427a15a32aSJordan K. Hubbard.Ft float 437a15a32aSJordan K. Hubbard.Fn atanhf "float x" 44998b640bSDavid Schultz.Ft long double 45998b640bSDavid Schultz.Fn atanhl "long double x" 463a8617a8SJordan K. Hubbard.Sh DESCRIPTION 473a8617a8SJordan K. HubbardThe 48998b640bSDavid Schultz.Fn atanh , 49998b640bSDavid Schultz.Fn atanhf , 50998b640bSDavid Schultzand 51998b640bSDavid Schultz.Fn atanhl 527a15a32aSJordan K. Hubbardfunctions compute the inverse hyperbolic tangent 533a8617a8SJordan K. Hubbardof the real 543a8617a8SJordan K. Hubbardargument 55*c5cbef2fSGordon Bergling.Fa x . 563a8617a8SJordan K. HubbardFor a discussion of error due to roundoff, see 573a8617a8SJordan K. Hubbard.Xr math 3 . 583a8617a8SJordan K. Hubbard.Sh RETURN VALUES 59998b640bSDavid SchultzThese functions 607a15a32aSJordan K. Hubbardreturn the inverse hyperbolic tangent of 61*c5cbef2fSGordon Bergling.Fa x 623a8617a8SJordan K. Hubbardif successful. 638e264694SDavid SchultzIf the argument has absolute value 1, a divide-by-zero exception 648e264694SDavid Schultzis raised and an infinity is returned. 658e264694SDavid SchultzIf 66*c5cbef2fSGordon Bergling.Fa |x| 671f8ee0e1SRuslan Ermilov> 1, an invalid exception is raised and an \*(Na is returned. 683a8617a8SJordan K. Hubbard.Sh SEE ALSO 693a8617a8SJordan K. Hubbard.Xr acosh 3 , 703a8617a8SJordan K. Hubbard.Xr asinh 3 , 713a8617a8SJordan K. Hubbard.Xr exp 3 , 728e264694SDavid Schultz.Xr fenv 3 , 733a8617a8SJordan K. Hubbard.Xr math 3 743a8617a8SJordan K. Hubbard.Sh HISTORY 753a8617a8SJordan K. HubbardThe 76998b640bSDavid Schultz.Fn atanh , 77998b640bSDavid Schultz.Fn atanhf , 78998b640bSDavid Schultzand 79998b640bSDavid Schultz.Fn atanhl 80998b640bSDavid Schultzfunctions appeared in 81998b640bSDavid Schultz.Bx 4.3 , 82998b640bSDavid Schultz.Fx 2.0 , 83998b640bSDavid Schultzand 84998b640bSDavid Schultz.Fx 10.0 , 85998b640bSDavid Schultzrespectively. 86