Algorithm::EquivalenceSets - Group sets transitively


Algorithm-EquivalenceSets documentation Contained in the Algorithm-EquivalenceSets distribution.

Index


Code Index:

NAME

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Algorithm::EquivalenceSets - Group sets transitively

VERSION

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version 1.101420

SYNOPSIS

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    use Algorithm::EquivalenceSets;

    my @sets = (
        [ 'a', 1, 2 ],
        [ 'b', 3, 4 ],
        [ 'c', 5    ],
        [ 'd', 1, 6 ],
        [ 'e', 3, 6 ],
        [ 'f', 5, 7 ],
    );

    my @equiv_sets = equivalence_sets(@sets);

    # @equiv_sets is ([ qw(c f 5 7) ], [ qw(a b d e 1 2 3 4 6) ])

DESCRIPTION

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This module exports one function, equivalence_sets(), which takes a list of sets and returns another list of sets whose contents are transitively grouped from the input sets.

Imagine the input sets to be [ 1, 2 ], [ 3, 4 ], [ 5, 6 ] and [ 1, 3, 7 ]. The returned sets would be [ 1, 2, 3, 4, 7 ] and [ 5, 6 ], because [ 1, 2 ] and [ 3, 4 ] are tied together by [ 1, 3, 7 ], but [ 5, 6 ] stands on its own. So you could say the returned sets represent a kind of transitive union. (Real mathematicians may now flame me about the misuse of terminology.)

Each set is an array reference. The return sets are given as an array in list context, or as a reference to that array in scalar context.

METHODS

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equivalence_sets

FIXME

INSTALLATION

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See perlmodinstall for information and options on installing Perl modules.

BUGS AND LIMITATIONS

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No bugs have been reported.

Please report any bugs or feature requests through the web interface at http://rt.cpan.org/Public/Dist/Display.html?Name=Algorithm-EquivalenceSets.

AVAILABILITY

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The latest version of this module is available from the Comprehensive Perl Archive Network (CPAN). Visit http://www.perl.com/CPAN/ to find a CPAN site near you, or see http://search.cpan.org/dist/Algorithm-EquivalenceSets/.

The development version lives at http://github.com/hanekomu/Algorithm-EquivalenceSets/. Instead of sending patches, please fork this project using the standard git and github infrastructure.

AUTHOR

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  Marcel Gruenauer <marcel@cpan.org>

COPYRIGHT AND LICENSE

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Algorithm-EquivalenceSets documentation Contained in the Algorithm-EquivalenceSets distribution.

use 5.006;
use strict;
use warnings;

package Algorithm::EquivalenceSets;
BEGIN {
  $Algorithm::EquivalenceSets::VERSION = '1.101420';
}

# ABSTRACT: Group sets transitively
use Exporter qw(import);
our @EXPORT = qw(equivalence_sets);

sub equivalence_sets {
    my $item_list  = shift;
    my $next_group = 1;
    my %group;     # key = item, value = group this item belongs to
    my %member;    # key = group name, value = list of items in this group
    for my $item_def (@$item_list) {

        # flatten item aliases
        my @alias = map { ref eq 'ARRAY' ? @$_ : $_ } @$item_def;
        my %seen_group;

        # known groups that these aliases belong to
        my @group =
          grep { !$seen_group{$_}++ }
          map { $group{$_} || () } @alias;

        # unify the groups listed in @group by dissolving them and adding
        # their members to the aliases, then forming a new group from the
        # aliases
        push @alias, map { @{ $member{$_} } } @group;
        my %seen_member;
        @alias = grep { !$seen_member{$_}++ } @alias;
        delete @member{@group};
        my $new_group = $next_group++;
        $group{$_} = $new_group for @alias;
        $member{$new_group} = \@alias;
    }
    wantarray ? values %member : [ values %member ];
}
1;


__END__