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NAME
ln - logarithm function
SYNOPSIS
ln(x [,eps])
TYPES
x nonzero real or complex
eps 0 < real < 1, defaults to epsilon()
return real or complex
DESCRIPTION
Approximate the natural logarithm function of x by a multiple of
epsilon, the error having absolute value less than 0.75 * eps.
If n is a positive integer, ln(x, 10^-n) will usually be correct
to the n-th decimal place.
EXAMPLE
; print ln(10, 1e-5), ln(10, 1e-10), ln(10, 1e-15), ln(10, 1e-20)
2.30259 2.302585093 2.302585092994046 2.30258509299404568402
; print ln(2+3i, 1e-5), ln(2+3i, 1e-10)
1.28247+0.98279i 1.2824746787+0.9827937232i
LIMITS
x != 0
0 < eps < 1
LINK LIBRARY
NUMBER *qln(NUMBER *x, NUMBER *eps)
COMPLEX *c_ln(COMPLEX *x, NUMBER *eps)
SEE ALSO
acosh, asinh, atanh, exp, ilog, ilogn, ilog10, ilog2, log, log2, logn
## Copyright (C) 1999,2021,2023 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: 1995/10/11 04:41:26
## 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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