Files
calc/help/cosh
Landon Curt Noll db582d6e34 add config("triground") to trigonometric function rounding
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.
2023-10-03 20:31:13 -07:00

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NAME
cosh - hyperbolic cosine
SYNOPSIS
cosh(x [,eps])
TYPES
x real
eps 0 < real < 1, defaults to epsilon()
return real
DESCRIPTION
Calculate the cosh of x to the nearest or next to nearest multiple of
epsilon, with absolute error less than .75 * eps.
cosh(x) = (exp(x) + exp(-x))/2
EXAMPLE
; print cosh(1, 1e-5), cosh(1, 1e-10), cosh(1, 1e-15), cosh(1, 1e-20)
1.54308 1.5430806348 1.543080634815244 1.54308063481524377848
LIMITS
0 < eps < 1
LINK LIBRARY
NUMBER *qcosh(NUMBER *x, NUMBER *eps)
SEE ALSO
sinh, tanh, coth, sech, csch
asinh, acosh, atanh, acoth, asech, acsch
epsilon
## Copyright (C) 1999,2023 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.
##
## Under source code control: 1994/03/19 01:40:28
## 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/