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The config("triground") controls rounding for the following
trigonometric and hyperbolic functions:
sin, cos, tan, cot, sec, csc
asin, acos, atan, acot, asec, acsc
versin, coversin, vercos, covercos
aversin, acoversin, avercos, acovercos
haversin, hacoversin, havercos, hacovercos
ahaversin, hacoversin, havercos, ahacovercos
exsec, aexsec, excsc, aexcsc
crd, acrd
cas, cis
sinh, cosh, tanh, coth, sech, csch
asinh, acosh, atanh, acoth, asech, acsch
In addition to taking a complex root (such as via the power
function on a complex value), "triground" is used for:
exp, polar
For the above mentioned functions, the rounding mode used to
round the result to the nearest epsilon value is controlled by,
and defaults to:
config("triground", 24)
As with other config options, the call returns the previous mode,
without a 2nd argument, returns the current mode without changing it:
config("triground")
Improved "SEE ALSO" for the hyperbolic function help files.
57 lines
1.7 KiB
Plaintext
57 lines
1.7 KiB
Plaintext
NAME
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acoth - inverse hyperbolic cotangent
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SYNOPSIS
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acoth(x [,eps])
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TYPES
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x real, with abs(x) > 1
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eps 0 < real < 1, defaults to epsilon()
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return real
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DESCRIPTION
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Returns the acoth of x to a multiple of eps with error less in
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absolute value than .75 * eps.
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acoth(x) is the real number v for which coth(v) = x.
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It is given by
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acoth(x) = ln((x + 1)/(x - 1))/2
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EXAMPLE
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; print acoth(2, 1e-5), acoth(2, 1e-10), acoth(2, 1e-15), acoth(2, 1e-20)
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0.54931 0.5493061443 0.549306144334055 0.5493061443340548457
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LIMITS
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0 < eps < 1
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LINK LIBRARY
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NUMBER *qacoth(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, acosh, atanh, asech, acsch
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epsilon
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## Copyright (C) 1999,2021,2023 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: 1995/11/13 03:49:01
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## File existed as early as: 1995
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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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