Introduction | Install | Default Usage | Adjusting # of Significant Figures on Error | Adjusting cutoffs for switch to scientific notation | Render Latex in Jupyter | Get Rounded Numbers Instead of Strings | Comments and Bug Reporting | Change Log | License
This package provides opinionated tools for formatting the output of values
with known errors. The general format is value +/- error
. The values are
rounded so that the last digit reported for the value is the same order of
magnitude as the least significant digit reported on the error. The default
is to report the error to two significant figures. The opinionated
part is that the output switches automatically from decimal to scientific
notation. Scientific notation is used for values < 0.1 and > 1000. Where the
switch occurs can be changed with optional parameters.
The output is available as:
- tuple of strings (value, error, power_of_ten);
- text in format
value +/- error
; - latex in the form
value \pm error
. - rounded floating point numbers (value, error)
pip install -U round_using_error
.
>>> from round_using_error import *
>>> rndwitherr(0.001234, 0.000241)
('1.23', '0.24', '-3')
>>> rndwitherr(1299.845, 0.124)
('1.29985', '0.00012', '3')
>>> text_rndwitherr(1299.845, 0.124)
'(1.29985 +/- 0.00012) X 10^3'
>>> latex_rndwitherr(1299.845, 0.124)
'(1.29985\\pm0.00012)\\times 10^{3}'
>>> rndwitherr(0.001234, 0.000241)
('1.23', '0.24', '-3')
>>> text_rndwitherr(0.001234, 0.000241)
'(1.23 +/- 0.24) X 10^-3'
>>> latex_rndwitherr(0.001234, 0.000241)
'(1.23\\pm0.24)\\times 10^{-3}'
>>> rndwitherr(0.1234, 0.024)
('0.123', '0.024', '')
>>> text_rndwitherr(0.1234, 0.024)
'0.123 +/- 0.024'
>>> latex_rndwitherr(0.1234, 0.024)
'0.123\\pm0.024'
>>> from round_using_error import *
>>> latex_rndwitherr(0.1234, 0.024)
'0.123\\pm0.024'
>>> rndwitherr(0.001234, 0.000241, errdig = 1)
('1.2', '0.2', '-3')
>>> rndwitherr(0.001234, 0.000241, errdig = 3)
('1.234', '0.241', '-3')
>>> text_rndwitherr(0.001234, 0.000241, errdig = 3)
'(1.234 +/- 0.241) X 10^-3'
>>> latex_rndwitherr(0.001234, 0.000241, errdig = 3)
'(1.234\\pm0.241)\\times 10^{-3}'
>>> rndwitherr(1247.325, 1.23, errdig = 1, highmag = 3)
('1247', '1', '')
>>> rndwitherr(3.53e-2,2.24e-3, errdig = 1, lowmag = -2)
('0.035', '0.002', '')
It is possible to get floating point numbers rounded as done by this package
rather than string representations, using the function numbers_rndwitherr()
.
However, because of the way floating point numbers are printed, they may not
display with proper significant figures (see below). Use the
functions described above that return strings to guarantee proper
significant figures.
>>> numbers_rndwitherr(0.002345,0.0072)
(0.002, 0.007)
>>> numbers_rndwitherr(2.345864,0.0072)
(2.3459, 0.0072)
>>> numbers_rndwitherr(2.345864e-3,0.0072e-2)
(0.002346, 7.2e-05)
>>> numbers_rndwitherr(83e-4, 0)
(0.0083, 0)
>>> numbers_rndwitherr(1247.325, 1.23, errdig = 3)
(1247.33, 1.23)
Compare the output of numbers_rndwitherr
and rndwitherr
.
>>> numbers_rndwitherr(1247.325, 1.23, errdig = 1) # bad
(1247.0, 1.0)
>>> rndwitherr(1247.325, 1.23, errdig = 1, highmag = 3) # good
('1247', '1', '')
Ideas, suggestions, bug reports and general comments are welcome . Please use the github repository issues tracker: https://github.com/gutow/round_using_error/issues.
- 1.2.0 Introduced
numbers_rndwitherr()
function. Readme.md and docs updates. - 1.1.1 More doctests. Tweaked handling of errors larger than values.
- 1.1.0 Increased error checking. Now raises warning for negative error values. Also fixes an error that occurred with negative values.
This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program 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 General Public License for more details.
Copyright - Jonathan Gutow, 2021, 2022.