I've enjoyed pondering this question. There is a module on CPAN that seems appropriate. It is Set::Partition::SimilarValues. It was a little tricky to figure out how to get it to partition in a way that matched your needs, but this seems to do the trick. You may have to adjust the GroupSeparationFactor to suit your needs, but the rest is pretty much automatic. Here's a snippet: 

use strict;
use warnings;

use Data::Dumper;

use Set::Partition::SimilarValues;

chomp( my( @numbers ) = <DATA> );

my $set_obj = Set::Partition::SimilarValues->new(
    GroupSeparationFactor => 1.15
);

my @sets = $set_obj->find_groups( @numbers );

print Dumper \@sets;


__DATA__
100.20
100.23
100.35
122.45
122.55
122.67
122.75
145.88
145.97
146.01
146.10

[download]

...and the output...

$VAR1 = [
          [
            '100.20',
            '100.23',
            '100.35'
          ],
          [
            '122.45',
            '122.55',
            '122.67',
            '122.75'
          ],
          [
            '145.88',
            '145.97',
            '146.01',
            '146.10'
          ]
        ];

[download]

Enjoy!


Dave

In reply to Re: Grouping numbers by davido
in thread Grouping numbers by tamaguchi

Title:
Use:  <p> text here (a paragraph) </p>
and:  <code> code here </code>
to format your post, it's "PerlMonks-approved HTML":


  • Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
  • Titles consisting of a single word are discouraged, and in most cases are disallowed outright.
  • Read Where should I post X? if you're not absolutely sure you're posting in the right place.
  • Please read these before you post! —
  • Posts may use any of the Perl Monks Approved HTML tags:
    a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, details, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, summary, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)
            For:     Use:
    & &amp;
    < &lt;
    > &gt;
    [ &#91;
    ] &#93;
  • Link using PerlMonks shortcuts! What shortcuts can I use for linking?
  • See Writeup Formatting Tips and other pages linked from there for more info.