Math::SigFigs - do math with correct handling of significant figures
If you only need to use CountSigFigs and FormatSigFigs, use the first form. If you are going to be doing arithmetic, use the second line.
use Math::SigFigs; use Math::SigFigs qw(:all);
The following routines do simple counting/formatting:
Use the following routines to do arithmetic operations.
$num=addSF($n1,$n2); $num=subSF($n1,$n2); $num=multSF($n1,$n2); $num=divSF($n1,$n2);
In many scientific applications, it is useful (and in some cases required) to be able to format numbers with a given number of significant figures, or to do math in such a way as to maintain the correct number of significant figures. The rules for significant figures are too complicated to be handled solely using the sprintf function.
These routines allow you to correctly handle significant figures. It can handle real number or exponentials correctly.
It can count the number of significant figures, format a number to a given number of significant figures, and do basic arithmetic.
All routines return nothing if something other than a valid number is passed in for any argument.
This returns the number of significant figures in a number. It returns
$Nis not a number.
$N $n ----- -- 240 2 240. 3 241 3 0240 2 0.03 1 0.030 2 0 1 0.0 1 0.00 2 1.2e2 2 0.0e2 1
This returns a string containing
$nsignificant figures. This will work for all cases except something like "2400" formatted to 3 significant figures.
$N $n $str ------ -- ------- 2400 1 2000 2400 2 2400 2400 3 2400 2400 4 2400. 2400 5 2400.0 141 3 141 141 2 140 0.039 1 0.04 0.039 2 0.039 0.0300 2 0.030 9.9 1 10 9.9 2 9.9 9.9 3 9.90 0 2 0.00
- addSF, subSF, multSF, divSF
These routines add/subtract/multiply/divide two numbers while maintaining the proper number of significant figures.
Working with zero is a special case. If 0 has 1 signficiant figure (i.e. '0') it is treated as exact. If it has more significant figures (i.e. 0.00), that number is used as appropriate.
- Without scientific notation, some numbers are ambiguous
These routines do not work with scientific notation (exponents). As a result, it is impossible to unambiguously format some numbers. For example,
$str = FormatSigFigs("2400",3);
will by necessity return the string "2400" which does NOT have 3 significant figures. This is not a bug. It is simply a fundamental problem with working with significant figures when not using scientific notation.
This script is free software; you can redistribute it and/or modify it under the same terms as Perl itself.
Sullivan Beck (email@example.com)