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NAME
atanh - inverse hyperbolic tangent
SYNOPSIS
atanh(x [,eps])
TYPES
x real
eps nonzero real, defaults to epsilon()
return real
DESCRIPTION
Returns the atanh of x to a multiple of eps with error less in
absolute value than .75 * eps.
atanh(x) is the real number v for which tanh(v) = x. It is given by
atanh(x) = ln((1 + x)/(1 - x))/2
EXAMPLE
; print atanh(.5,1e-5), atanh(.5,1e-10), atanh(.5,1e-15), atanh(.5,1e-20)
.54931 .5493061443 .549306144334055 .5493061443340548457
LIMITS
none
LINK LIBRARY
NUMBER *qatanh(NUMBER *x, NUMBER *eps)
SEE ALSO
asinh, acosh, asech, acsch, acoth, epsilon
## Copyright (C) 1999 Landon Curt Noll
##
## Calc is open software; you can redistribute it and/or modify it under
## the terms of the version 2.1 of the GNU Lesser General Public License
## as published by the Free Software Foundation.
##
## Calc is distributed in the hope that it will be useful, but WITHOUT
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
## or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
## Public License for more details.
##
## A copy of version 2.1 of the GNU Lesser General Public License is
## distributed with calc under the filename COPYING-LGPL. You should have
## received a copy with calc; if not, write to Free Software Foundation, Inc.
## 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
##
## Under source code control: 1994/03/19 01:40:27
## File existed as early as: 1994
##
## chongo <was here> /\oo/\ http://www.isthe.com/chongo/
## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/