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1c839dfede
Add new logn(x, n [,eps]) builtin to compute logarithms to base n. Verify that eps arguments (error tolerance arguments that override the default epsilon value) to builtin functions have proper values. Previously the eps argument had little to no value checks for many builtin functions. Document in help files for builtin functions that take eps arguments, the LIMIT range for such eps values.
56 lines
1.7 KiB
Plaintext
56 lines
1.7 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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asinh, atanh, asech, acsch, acoth, 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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