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NAME
acoth - inverse hyperbolic cotangent
SYNOPSIS
acoth(x [,eps])
TYPES
x real, with abs(x) > 1
eps 0 < real < 1, defaults to epsilon()
return real
DESCRIPTION
Returns the acoth of x to a multiple of eps with error less in
absolute value than .75 * eps.
acoth(x) is the real number v for which coth(v) = x.
It is given by
acoth(x) = ln((x + 1)/(x - 1))/2
EXAMPLE
; print acoth(2, 1e-5), acoth(2, 1e-10), acoth(2, 1e-15), acoth(2, 1e-20)
0.54931 0.5493061443 0.549306144334055 0.5493061443340548457
LIMITS
0 < eps < 1
LINK LIBRARY
NUMBER *qacoth(NUMBER *x, NUMBER *eps)
SEE ALSO
sinh, cosh, tanh, coth, sech, csch
asinh, acosh, atanh, asech, acsch
epsilon
## Copyright (C) 1999,2021,2023 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: 1995/11/13 03:49:01
## File existed as early as: 1995
##
## chongo <was here> /\oo/\ http://www.isthe.com/chongo/
## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
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