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use strict; # -*- cperl -*- |
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use warnings; |
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use lib qw( ../../../../lib ); |
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=head1 NAME |
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Algorithm::Evolutionary::Fitness::ECC - Error Correcting codes problem generator |
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=head1 SYNOPSIS |
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my $number_of_codewords = 10; |
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my $min_distance = 1; |
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my $p_peaks = Algorithm::Evolutionary::Fitness::ECC->new( $number_of_codewords, $min_distance ); |
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=head1 DESCRIPTION |
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Extracted from article "Effects of scale-free and small-world topologies on binary coded self-adaptive CEA", by Giacobini et al [Ga]. Quoting: |
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" The ECC problem was presented in |
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[MW]. We will consider a three-tuple (n, M, d), where n is the length of each codeword |
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(number of bits), M is the number of codewords, and d is the minimum Hamming |
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distance between any pair of codewords. Our objective will be to find a code which |
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has a value for d as large as possible (reflecting greater tolerance to noise and errors), |
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given previously fixed values for n and M . The problem we have studied is a simplified |
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version of that in [MW]. In our case we search half of the codewords (M/2) that will |
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compose the code, and the other half is made up by the complement of the codewords |
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computed by the algorithm" |
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[Ga] Mario Giacobini, Mike Preuss, Marco Tomassini: Effects of Scale-Free and Small-World Topologies on Binary Coded Self-adaptive CEA. EvoCOP 2006: 86-98. |
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[MW] F. J. MacWilliams and N. J. A. Sloane. The Theory of Error-Correcting Codes. North- |
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Holland, Amsterdam, 1977. |
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=head1 METHODS |
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=cut |
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package Algorithm::Evolutionary::Fitness::ECC; |
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our ($VERSION) = ( '$Revision: 3.2 $ ' =~ / (\d+\.\d+)/ ) ; |
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use Carp qw(croak); |
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use lib qw(../../.. ../.. ..); |
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use base qw(Algorithm::Evolutionary::Fitness::String); |
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use Algorithm::Evolutionary::Utils qw(hamming); |
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=head2 new |
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Creates a new instance of the problem, with the said number of bits and peaks |
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54
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=cut |
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56
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sub new { |
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my $class = shift; |
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my ($number_of_codewords, $min_distance ) = @_; |
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croak "Too few codewords" if !$number_of_codewords; |
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croak "Distance too small" if !$min_distance; |
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my $self = $class->SUPER::new(); |
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bless $self, $class; |
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$self->initialize(); |
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$self->{'number_of_codewords'} = $number_of_codewords; |
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return $self; |
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} |
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=head2 _really_apply |
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Applies the instantiated problem to a chromosome |
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=cut |
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sub _really_apply { |
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my $self = shift; |
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return $self->ecc( @_ ); |
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} |
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=head2 ecc |
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Applies the instantiated problem to a string |
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=cut |
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sub ecc { |
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my $self = shift; |
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my $string = shift || croak "Can't work with a null string"; |
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my $cache = $self->{'_cache'}; |
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if ( $cache->{$string} ) { |
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return $cache->{$string}; |
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} |
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my $length = length($string)/$self->{'number_of_codewords'}; |
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my @codewords = ( $string =~ /.{$length}/gs ); |
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my $distance; |
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for ( my $i = 0; $i <= $#codewords; $i ++ ) { |
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for ( my $j = $i+1; $j <= $#codewords; $j ++ ) { |
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my $this_distance = hamming( $codewords[$i], $codewords[$j] ); |
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$distance += 1/(1+$this_distance*$this_distance); |
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} |
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} |
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$cache->{$string} = 1/$distance; |
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return $cache->{$string}; |
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104
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} |
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106
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=head1 Copyright |
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108
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This file is released under the GPL. See the LICENSE file included in this distribution, |
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or go to http://www.fsf.org/licenses/gpl.txt |
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111
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CVS Info: $Date: 2009/07/24 10:25:49 $ |
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$Header: /cvsroot/opeal/Algorithm-Evolutionary/lib/Algorithm/Evolutionary/Fitness/ECC.pm,v 3.2 2009/07/24 10:25:49 jmerelo Exp $ |
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$Author: jmerelo $ |
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$Revision: 3.2 $ |
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$Name $ |
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=cut |
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119
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"What???"; |