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acosh - inverse hyperbolic cosine
SYNOPSIS
acosh(x [,eps])
TYPES
x real, x >= 1
eps nonzero real, defaults to epsilon()
return nonnegative real
DESCRIPTION
Returns the acosh of x to a multiple of eps with error less in
absolute value than .75 * eps.
acosh(x) is the nonnegative real number v for which cosh(v) = x.
It is given by
acosh(x) = ln(x + sqrt(x^2 - 1))
EXAMPLE
; print acosh(2, 1e-5), acosh(2, 1e-10), acosh(2, 1e-15), acosh(2, 1e-20)
1.31696 1.3169578969 1.316957896924817 1.31695789692481670862
LIMITS
none
LINK LIBRARY
NUMBER *qacosh(NUMBER *x, NUMBER *eps)
SEE ALSO
asinh, atanh, 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.
##
## @(#) $Revision: 30.1 $
## @(#) $Id: acosh,v 30.1 2007/03/16 11:10:42 chongo Exp $
## @(#) $Source: /usr/local/src/bin/calc/help/RCS/acosh,v $
##
## Under source code control: 1994/03/19 01:40:24
## 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/
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