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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 | NAME
asech - inverse hyperbolic secant
SYNOPSIS
asech(x [,eps])
TYPES
x real, 0 < x <= 1
eps nonzero real, defaults to epsilon()
return real
DESCRIPTION
Returns the asech of x to a multiple of eps with error less in
absolute value than .75 * eps.
asech(x) is the real number v for which sech(v) = x. It is given by
asech(x) = ln((1 + sqrt(1 - x^2))/x)
EXAMPLE
; print asech(.5,1e-5), asech(.5,1e-10), asech(.5,1e-15), asech(.5,1e-20)
1.31696 1.3169578969 1.316957896924817 1.31695789692481670862
LIMITS
none
LINK LIBRARY
NUMBER *qasech(NUMBER *x, NUMBER *eps)
SEE ALSO
asinh, acosh, atanh, 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: asech,v 30.1 2007/03/16 11:10:42 chongo Exp $
## @(#) $Source: /usr/local/src/cmd/calc/help/RCS/asech,v $
##
## Under source code control: 1995/11/13 03:49:00
## 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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