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58 lines
1.8 KiB
Plaintext
58 lines
1.8 KiB
Plaintext
NAME
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acosh - inverse hyperbolic cosine
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SYNOPSIS
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acosh(x [,eps])
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TYPES
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x real, x >= 1
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eps 0 < real < 1, defaults to epsilon()
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return nonnegative real
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DESCRIPTION
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Returns the acosh of x to a multiple of eps with error less in
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absolute value than .75 * eps.
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acosh(x) is the nonnegative real number v for which cosh(v) = x.
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It is given by
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acosh(x) = ln(x + sqrt(x^2 - 1))
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EXAMPLE
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; print acosh(2, 1e-5), acosh(2, 1e-10), acosh(2, 1e-15), acosh(2, 1e-20)
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1.31696 1.3169578969 1.316957896924817 1.31695789692481670862
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LIMITS
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0 < eps < 1
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LINK LIBRARY
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NUMBER *qacosh(NUMBER *x, NUMBER *eps)
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SEE ALSO
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sinh, cosh, tanh, coth, sech, csch
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asinh, atanh, acoth, asech, acsch
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epsilon
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## Copyright (C) 1999,2023 Landon Curt Noll
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##
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## Calc is open software; you can redistribute it and/or modify it under
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## the terms of the version 2.1 of the GNU Lesser General Public License
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## as published by the Free Software Foundation.
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##
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## Calc is distributed in the hope that it will be useful, but WITHOUT
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## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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## or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
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## Public License for more details.
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##
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## A copy of version 2.1 of the GNU Lesser General Public License is
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## distributed with calc under the filename COPYING-LGPL. You should have
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## received a copy with calc; if not, write to Free Software Foundation, Inc.
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## 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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##
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## Under source code control: 1994/03/19 01:40:24
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## File existed as early as: 1994
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##
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## chongo <was here> /\oo/\ http://www.isthe.com/chongo/
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## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
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