mirror of
https://github.com/lcn2/calc.git
synced 2025-08-19 01:13:27 +03:00
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.
65 lines
2.1 KiB
Plaintext
65 lines
2.1 KiB
Plaintext
NAME
|
|
exp - exponential function
|
|
|
|
SYNOPSIS
|
|
exp(x [,eps])
|
|
|
|
TYPES
|
|
x real or complex
|
|
eps 0 < real < 1, defaults to epsilon()
|
|
|
|
return real or complex
|
|
|
|
DESCRIPTION
|
|
Approximate the exponential function of x by a multiple of epsilon,
|
|
the error having absolute value less than 0.75 * eps.
|
|
If n is a positive integer, exp(x, 10^-n) will usually be
|
|
correct to the n-th decimal place, which, for large positive x
|
|
will give many significant figures.
|
|
|
|
EXAMPLE
|
|
; print exp(2, 1e-5), exp(2,1e-10), exp(2, 1e-15), exp(2, 1e-20)
|
|
7.38906 7.3890560989 7.38905609893065 7.38905609893065022723
|
|
|
|
; print exp(30, 1e5), exp(30, 1), exp(30, 1e-10)
|
|
10686474600000 10686474581524 10686474581524.4621469905
|
|
|
|
; print exp(-20, 1e-5), exp(-20, 1e-10), exp(-20, 1e-15), exp(-20, 1e-20)
|
|
0 0.0000000021 0.000000002061154 0.00000000206115362244
|
|
|
|
; print exp(1+2i, 1e-5), exp(1+2i, 1e-10)
|
|
-1.1312+2.47173i -1.1312043838+2.471726672i
|
|
|
|
LIMITS
|
|
x < 693093
|
|
0 < eps < 1
|
|
|
|
LINK LIBRARY
|
|
NUMBER *qexp(NUMBER *x, NUMBER *eps)
|
|
COMPLEX *c_exp(COMPLEX *x, NUMBER *eps)
|
|
|
|
SEE ALSO
|
|
ln, cosh, sinh, tanh
|
|
|
|
## 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/
|