AI-Genetic-Pro
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package AI::Genetic::Pro;
$AI::Genetic::Pro::VERSION = '1.009';
#---------------
use warnings;
use strict;
use base qw( Class::Accessor::Fast::XS );
#-----------------------------------------------------------------------
use Carp;
use Clone qw( clone );
use Struct::Compare;
use Digest::MD5 qw( md5_hex );
use List::Util qw( sum );
use List::MoreUtils qw( minmax first_index apply );
#use Data::Dumper; $Data::Dumper::Sortkeys = 1;
use Tie::Array::Packed;
use UNIVERSAL::require;
#-----------------------------------------------------------------------
use AI::Genetic::Pro::Array::Type qw( get_package_by_element_size );
use AI::Genetic::Pro::Chromosome;
#-----------------------------------------------------------------------
__PACKAGE__->mk_accessors(qw(
mce
type
population
terminate
chromosomes
crossover
native
parents _parents
history _history
fitness _fitness _fitness_real
cache
mutation _mutator
strategy _strategist
selection _selector
_translations
generation
preserve
variable_length
_fix_range
_package
_length
strict _strict
workers
size
_init
));
#=======================================================================
# Additional modules
use constant STORABLE => 'Storable';
use constant GD => 'GD::Graph::linespoints';
#=======================================================================
my $_Cache = { };
my $_temp_chromosome;
#=======================================================================
sub new {
my ( $class, %args ) = ( shift, @_ );
#-------------------------------------------------------------------
my %opts = map { if(ref $_){$_}else{ /^-?(.*)$/o; $1 }} @_;
my $self = bless \%opts, $class;
#-------------------------------------------------------------------
$AI::Genetic::Pro::Array::Type::Native = 1 if $self->native;
#-------------------------------------------------------------------
croak(q/Type of chromosomes cannot be "combination" if "variable length" feature is active!/)
if $self->type eq q/combination/ and $self->variable_length;
croak(q/You must specify a crossover strategy with -strategy!/)
unless defined ($self->strategy);
croak(q/Type of chromosomes cannot be "combination" if strategy is not one of: OX, PMX!/)
if $self->type eq q/combination/ and ($self->strategy->[0] ne q/OX/ and $self->strategy->[0] ne q/PMX/);
croak(q/Strategy cannot be "/,$self->strategy->[0],q/" if "variable length" feature is active!/ )
if ($self->strategy->[0] eq 'PMX' or $self->strategy->[0] eq 'OX') and $self->variable_length;
#-------------------------------------------------------------------
$self->_set_strict if $self->strict;
#-------------------------------------------------------------------
return $self unless $self->mce;
#-------------------------------------------------------------------
delete $self->{ mce };
'AI::Genetic::Pro::MCE'->use or die q[Cannot raise multicore support: ] . $@;
return AI::Genetic::Pro::MCE->new( $self, \%args );
}
#=======================================================================
sub _Cache { $_Cache; }
#=======================================================================
# INIT #################################################################
#=======================================================================
sub _set_strict {
my ($self) = @_;
# fitness
my $fitness = $self->fitness();
my $replacement = sub {
my @tmp = @{$_[1]};
my $ret = $fitness->(@_);
my @cmp = @{$_[1]};
die qq/Chromosome was modified in a fitness function from "@tmp" to "@{$_[1]}"!\n/ unless compare(\@tmp, \@cmp);
return $ret;
};
$self->fitness($replacement);
}
#=======================================================================
sub _fitness_cached {
my ($self, $chromosome) = @_;
#my $key = md5_hex(${tied(@$chromosome)});
my $key = md5_hex( $self->_package ? md5_hex( ${ tied( @$chromosome ) } ) : join( q[:], @$chromosome ) );
return $_Cache->{$key} if exists $_Cache->{$key};
$_Cache->{$key} = $self->_fitness_real->($self, $chromosome);
return $_Cache->{$key};
}
#=======================================================================
sub _init_cache {
my ($self) = @_;
$self->_fitness_real($self->fitness);
$self->fitness(\&_fitness_cached);
return;
}
#=======================================================================
sub _check_data_ref {
my ($self, $data_org) = @_;
my $data = clone($data_org);
my $ars;
for(0..$#$data){
next if $ars->{$data->[$_]};
$ars->{$data->[$_]} = 1;
unshift @{$data->[$_]}, undef;
}
return $data;
}
#=======================================================================
# we have to find C to (in some cases) incrase value of range
# due to design model
sub _find_fix_range {
my ($self, $data) = @_;
for my $idx (0..$#$data){
if($data->[$idx]->[1] < 1){
my $const = 1 - $data->[$idx]->[1];
push @{$self->_fix_range}, $const;
$data->[$idx]->[1] += $const;
$data->[$idx]->[2] += $const;
}else{ push @{$self->_fix_range}, 0; }
}
return $data;
}
#=======================================================================
sub init {
my ( $self, $data ) = @_;
croak q/You have to pass some data to "init"!/ unless $data;
#-------------------------------------------------------------------
$self->generation(0);
$self->_init( $data );
$self->_fitness( { } );
$self->_fix_range( [ ] );
$self->_history( [ [ ], [ ], [ ] ] );
$self->_init_cache if $self->cache;
#-------------------------------------------------------------------
if($self->type eq q/listvector/){
croak(q/You have to pass array reference if "type" is set to "listvector"/) unless ref $data eq 'ARRAY';
$self->_translations( $self->_check_data_ref($data) );
}elsif($self->type eq q/bitvector/){
croak(q/You have to pass integer if "type" is set to "bitvector"/) if $data !~ /^\d+$/o;
$self->_translations( [ [ 0, 1 ] ] );
$self->_translations->[$_] = $self->_translations->[0] for 1..$data-1;
}elsif($self->type eq q/combination/){
croak(q/You have to pass array reference if "type" is set to "combination"/) unless ref $data eq 'ARRAY';
$self->_translations( [ clone($data) ] );
$self->_translations->[$_] = $self->_translations->[0] for 1..$#$data;
}elsif($self->type eq q/rangevector/){
croak(q/You have to pass array reference if "type" is set to "rangevector"/) unless ref $data eq 'ARRAY';
$self->_translations( $self->_find_fix_range( $self->_check_data_ref($data) ));
}else{
croak(q/You have to specify first "type" of vector!/);
}
my $size = 0;
if($self->type ne q/rangevector/){ for(@{$self->_translations}){ $size = $#$_ if $#$_ > $size; } }
# else{ for(@{$self->_translations}){ $size = $_->[1] if $_->[1] > $size; } }
else{ for(@{$self->_translations}){ $size = $_->[2] if $_->[2] > $size; } } # Provisional patch for rangevector values truncated to signed 8-bit quantities. Thx to Tod Hagan
my $package = get_package_by_element_size($size);
$self->_package($package);
my $length = ref $data ? sub { $#$data; } : sub { $data - 1 };
if($self->variable_length){
$length = ref $data ? sub { 1 + int( rand( $#{ $self->_init } ) ); } : sub { 1 + int( rand( $self->_init - 1) ); };
}
$self->_length( $length );
$self->chromosomes( [ ] );
push @{$self->chromosomes},
AI::Genetic::Pro::Chromosome->new($self->_translations, $self->type, $package, $length->())
for 1..$self->population;
$self->_calculate_fitness_all();
}
#=======================================================================
# SAVE / LOAD ##########################################################
#=======================================================================
sub spew {
#+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
STORABLE->use( qw( store retrieve freeze thaw ) ) or croak(q/You need "/.STORABLE.q/" module to save a state of "/.__PACKAGE__.q/"!/);
$Storable::Deparse = 1;
$Storable::Eval = 1;
#+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
my ( $self ) = @_;
my $clone = {
_selector => undef,
_strategist => undef,
_mutator => undef,
};
$clone->{ chromosomes } = [ map { ${ tied( @$_ ) } } @{ $self->chromosomes } ]
if $self->_package;
foreach my $key(keys %$self){
next if exists $clone->{$key};
$clone->{$key} = $self->{$key};
}
return $clone;
}
#=======================================================================
sub slurp {
my ( $self, $dump ) = @_;
if( my $typ = $self->_package ){
@{ $dump->{ chromosomes } } = map {
my $arr = $typ->make_with_packed( $_ );
bless $arr, q[AI::Genetic::Pro::Chromosome];
} @{ $dump->{ chromosomes } };
}
%$self = %$dump;
return 1;
}
#=======================================================================
sub save {
my ( $self, $file ) = @_;
croak(q/You have to specify file!/) unless defined $file;
store( $self->spew, $file );
}
#=======================================================================
sub load {
#+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
STORABLE->use( qw( store retrieve freeze thaw ) ) or croak(q/You need "/.STORABLE.q/" module to load a state of "/.__PACKAGE__.q/"!/);
$Storable::Deparse = 1;
$Storable::Eval = 1;
#+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
my ($self, $file) = @_;
croak(q/You have to specify file!/) unless defined $file;
my $clone = retrieve($file);
return carp('Incorrect file!') unless $clone;
return $self->slurp( $clone );
}
#=======================================================================
# CHARTS ###############################################################
#=======================================================================
sub chart {
GD->require or croak(q/You need "/.GD.q/" module to draw chart of evolution!/);
my ($self, %params) = (shift, @_);
my $graph = GD()->new(($params{-width} || 640), ($params{-height} || 480));
my $data = $self->getHistory;
if(defined $params{-font}){
$graph->set_title_font ($params{-font}, 12);
$graph->set_x_label_font($params{-font}, 10);
$graph->set_y_label_font($params{-font}, 10);
$graph->set_legend_font ($params{-font}, 8);
}
$graph->set_legend(
$params{legend1} || q/Max value/,
$params{legend2} || q/Mean value/,
$params{legend3} || q/Min value/,
);
$graph->set(
x_label_skip => int(($data->[0]->[-1]*4)/100),
x_labels_vertical => 1,
x_label_position => .5,
y_label_position => .5,
y_long_ticks => 1, # poziome linie
x_ticks => 1, # poziome linie
l_margin => 10,
b_margin => 10,
r_margin => 10,
t_margin => 10,
show_values => (defined $params{-show_values} ? 1 : 0),
values_vertical => 1,
values_format => ($params{-format} || '%.2f'),
zero_axis => 1,
#interlaced => 1,
logo_position => 'BR',
legend_placement => 'RT',
bgclr => 'white',
boxclr => '#FFFFAA',
transparent => 0,
title => ($params{'-title'} || q/Evolution/ ),
x_label => ($params{'-x_label'} || q/Generation/),
y_label => ($params{'-y_label'} || q/Value/ ),
( $params{-logo} && -f $params{-logo} ? ( logo => $params{-logo} ) : ( ) )
);
my $gd = $graph->plot( [ [ 0..$#{$data->[0]} ], @$data ] ) or croak($@);
open(my $fh, '>', $params{-filename}) or croak($@);
binmode $fh;
print $fh $gd->png;
close $fh;
return 1;
}
#=======================================================================
# TRANSLATIONS #########################################################
#=======================================================================
sub as_array_def_only {
my ($self, $chromosome) = @_;
return $self->as_array($chromosome)
if not $self->variable_length or $self->variable_length < 2;
if( $self->type eq q/bitvector/ ){
return $self->as_array($chromosome);
}else{
my $ar = $self->as_array($chromosome);
my $idx = first_index { $_ } @$ar;
my @array = @$ar[$idx..$#$chromosome];
return @array if wantarray;
return \@array;
}
}
#=======================================================================
sub as_array {
my ($self, $chromosome) = @_;
if($self->type eq q/bitvector/){
# This could lead to internal error, bacause of underlaying Tie::Array::Packed
#return @$chromosome if wantarray;
#return $chromosome;
my @chr = @$chromosome;
return @chr if wantarray;
return \@chr;
}elsif($self->type eq q/rangevector/){
my $fix_range = $self->_fix_range;
my $c = -1;
#my @array = map { $c++; warn "WARN: $c | ",scalar @$chromosome,"\n" if not defined $fix_range->[$c]; $_ ? $_ - $fix_range->[$c] : undef } @$chromosome;
my @array = map { $c++; $_ ? $_ - $fix_range->[$c] : undef } @$chromosome;
return @array if wantarray;
return \@array;
}else{
my $cnt = 0;
my @array = map { $self->_translations->[$cnt++]->[$_] } @$chromosome;
return @array if wantarray;
return \@array;
}
}
#=======================================================================
sub as_string_def_only {
my ($self, $chromosome) = @_;
return $self->as_string($chromosome)
if not $self->variable_length or $self->variable_length < 2;
my $array = $self->as_array_def_only($chromosome);
return join(q//, @$array) if $self->type eq q/bitvector/;
return join(q/___/, @$array);
}
#=======================================================================
sub as_string {
return join(q//, @{$_[1]}) if $_[0]->type eq q/bitvector/;
return join(q/___/, map { defined $_ ? $_ : q/ / } $_[0]->as_array($_[1]));
}
#=======================================================================
sub as_value {
my ($self, $chromosome) = @_;
croak(q/You MUST call 'as_value' as method of 'AI::Genetic::Pro' object./)
unless defined $_[0] and ref $_[0] and ( ref $_[0] eq 'AI::Genetic::Pro' or ref $_[0] eq 'AI::Genetic::Pro::MCE');
croak(q/You MUST pass 'AI::Genetic::Pro::Chromosome' object to 'as_value' method./)
unless defined $_[1] and ref $_[1] and ref $_[1] eq 'AI::Genetic::Pro::Chromosome';
return $self->fitness->($self, $chromosome);
}
#=======================================================================
# ALGORITHM ############################################################
#=======================================================================
sub _calculate_fitness_all {
my ($self) = @_;
$self->_fitness( { } );
$self->_fitness->{$_} = $self->fitness()->($self, $self->chromosomes->[$_])
for 0..$#{$self->chromosomes};
# sorting the population is not necessary
# my (@chromosomes, %fitness);
# for my $idx (sort { $self->_fitness->{$a} <=> $self->_fitness->{$b} } keys %{$self->_fitness}){
# push @chromosomes, $self->chromosomes->[$idx];
# $fitness{$#chromosomes} = $self->_fitness->{$idx};
# delete $self->_fitness->{$idx};
# delete $self->chromosomes->[$idx];
# }
#
# $self->_fitness(\%fitness);
# $self->chromosomes(\@chromosomes);
return;
}
#=======================================================================
sub _select_parents {
my ($self) = @_;
unless($self->_selector){
croak "You must specify a selection strategy!"
unless defined $self->selection;
my @tmp = @{$self->selection};
my $selector = q/AI::Genetic::Pro::Selection::/ . shift @tmp;
$selector->require or die $!;
$self->_selector($selector->new(@tmp));
}
$self->_parents($self->_selector->run($self));
return;
}
#=======================================================================
sub _crossover {
my ($self) = @_;
unless($self->_strategist){
my @tmp = @{$self->strategy};
my $strategist = q/AI::Genetic::Pro::Crossover::/ . shift @tmp;
$strategist->require or die $!;
$self->_strategist($strategist->new(@tmp));
}
my $a = $self->_strategist->run($self);
$self->chromosomes( $a );
return;
}
#=======================================================================
sub _mutation {
my ($self) = @_;
unless($self->_mutator){
my $mutator = q/AI::Genetic::Pro::Mutation::/ . ucfirst(lc($self->type));
unless($mutator->require){
$mutator = q/AI::Genetic::Pro::Mutation::Listvector/;
$mutator->require;
}
$self->_mutator($mutator->new);
}
return $self->_mutator->run($self);
}
#=======================================================================
sub _save_history {
my @tmp;
if($_[0]->history){ @tmp = $_[0]->getAvgFitness; }
else { @tmp = (undef, undef, undef); }
push @{$_[0]->_history->[0]}, $tmp[0];
push @{$_[0]->_history->[1]}, $tmp[1];
push @{$_[0]->_history->[2]}, $tmp[2];
return 1;
}
#=======================================================================
sub inject {
my ($self, $candidates) = @_;
for(@$candidates){
push @{$self->chromosomes},
AI::Genetic::Pro::Chromosome->new_from_data($self->_translations, $self->type, $self->_package, $_, $self->_fix_range);
$self->_fitness->{$#{$self->chromosomes}} = $self->fitness()->($self, $self->chromosomes->[-1]);
}
$self->_strict( [ ] );
$self->population( $self->population + scalar( @$candidates ) );
return 1;
}
#=======================================================================
sub _state {
my ( $self ) = @_;
my @res;
if( $self->_package ){
@res = map {
[
${ tied( @{ $self->chromosomes->[ $_ ] } ) },
$self->_fitness->{ $_ },
]
} 0 .. $self->population - 1
}else{
@res = map {
[
$self->chromosomes->[ $_ ],
$self->_fitness->{ $_ },
]
} 0 .. $self->population - 1
}
return \@res;
}
#=======================================================================
sub evolve {
my ($self, $generations) = @_;
# generations must be defined
$generations ||= -1;
if($self->strict and $self->_strict){
for my $idx (0..$#{$self->chromosomes}){
croak(q/Chromosomes was modified outside the 'evolve' function!/) unless $self->chromosomes->[$idx] and $self->_strict->[$idx];
my @tmp0 = @{$self->chromosomes->[$idx]};
my @tmp1 = @{$self->_strict->[$idx]};
croak(qq/Chromosome was modified outside the 'evolve' function from "@tmp0" to "@tmp1"!/) unless compare(\@tmp0, \@tmp1);
}
}
# split into two loops just for speed
unless($self->preserve){
for(my $i = 0; $i != $generations; $i++){
# terminate ----------------------------------------------------
last if $self->terminate and $self->terminate->($self);
# update generation --------------------------------------------
$self->generation($self->generation + 1);
# update history -----------------------------------------------
$self->_save_history;
# selection ----------------------------------------------------
$self->_select_parents();
# crossover ----------------------------------------------------
$self->_crossover();
# mutation -----------------------------------------------------
$self->_mutation();
}
}else{
croak('You cannot preserve more chromosomes than is in population!') if $self->preserve > $self->population;
my @preserved;
for(my $i = 0; $i != $generations; $i++){
# terminate ----------------------------------------------------
last if $self->terminate and $self->terminate->($self);
# update generation --------------------------------------------
$self->generation($self->generation + 1);
# update history -----------------------------------------------
$self->_save_history;
#---------------------------------------------------------------
# preservation of N unique chromosomes
@preserved = map { clone($_) } @{ $self->getFittest_as_arrayref($self->preserve - 1, 1) };
# selection ----------------------------------------------------
$self->_select_parents();
# crossover ----------------------------------------------------
$self->_crossover();
# mutation -----------------------------------------------------
$self->_mutation();
#---------------------------------------------------------------
for(@preserved){
my $idx = int rand @{$self->chromosomes};
$self->chromosomes->[$idx] = $_;
$self->_fitness->{$idx} = $self->fitness()->($self, $_);
}
}
}
if($self->strict){
$self->_strict( [ ] );
push @{$self->_strict}, $_->clone for @{$self->chromosomes};
}
}
#=======================================================================
# ALIASES ##############################################################
#=======================================================================
sub people { $_[0]->chromosomes() }
#=======================================================================
sub getHistory { $_[0]->_history() }
#=======================================================================
sub mutProb { shift->mutation(@_) }
#=======================================================================
sub crossProb { shift->crossover(@_) }
#=======================================================================
sub intType { shift->type() }
#=======================================================================
# STATS ################################################################
#=======================================================================
sub getFittest_as_arrayref {
my ($self, $n, $uniq) = @_;
$n ||= 1;
$self->_calculate_fitness_all() unless scalar %{ $self->_fitness };
my @keys = sort { $self->_fitness->{$a} <=> $self->_fitness->{$b} } 0..$#{$self->chromosomes};
if($uniq){
my %grep;
my $chromosomes = $self->chromosomes;
if( my $pkg = $self->_package ){
my %tmp;
@keys = grep {
my $key = ${ tied( @{ $chromosomes->[ $_ ] } ) };
#my $key = md5_hex( ${ tied( @{ $chromosomes->[ $_ ] } ) } ); # ?
$tmp{ $key } && 0 or $tmp{ $key } = 1;
} @keys;
#@keys = grep {
# my $add_to_list = 0;
# my $key = md5_hex(${tied(@{$chromosomes->[$_]})});
# unless($grep{$key}) {
# $grep{$key} = 1;
# $add_to_list = 1;
# }
# $add_to_list;
# } @keys;
}else{
my %tmp;
@keys = grep {
my $key = md5_hex( join( q[:], @{ $chromosomes->[ $_ ] } ) );
$tmp{ $key } && 0 or $tmp{ $key } = 1;
} @keys;
}
}
$n = scalar @keys if $n > scalar @keys;
return [ reverse @{$self->chromosomes}[ splice @keys, $#keys - $n + 1, $n ] ];
}
#=======================================================================
sub getFittest { return wantarray ? @{ shift->getFittest_as_arrayref(@_) } : shift @{ shift->getFittest_as_arrayref(@_) }; }
#=======================================================================
sub getAvgFitness {
my ($self) = @_;
my @minmax = minmax values %{$self->_fitness};
my $mean = sum(values %{$self->_fitness}) / scalar values %{$self->_fitness};
return $minmax[1], int($mean), $minmax[0];
}
#=======================================================================
1;
__END__
=head1 NAME
AI::Genetic::Pro - Efficient genetic algorithms for professional purpose with support for multiprocessing.
=head1 SYNOPSIS
use AI::Genetic::Pro;
sub fitness {
my ($ga, $chromosome) = @_;
return oct('0b' . $ga->as_string($chromosome));
}
sub terminate {
my ($ga) = @_;
my $result = oct('0b' . $ga->as_string($ga->getFittest));
return $result == 4294967295 ? 1 : 0;
}
my $ga = AI::Genetic::Pro->new(
-fitness => \&fitness, # fitness function
-terminate => \&terminate, # terminate function
-type => 'bitvector', # type of chromosomes
-population => 1000, # population
-crossover => 0.9, # probab. of crossover
-mutation => 0.01, # probab. of mutation
-parents => 2, # number of parents
-selection => [ 'Roulette' ], # selection strategy
-strategy => [ 'Points', 2 ], # crossover strategy
-cache => 0, # cache results
-history => 1, # remember best results
-preserve => 3, # remember the bests
-variable_length => 1, # turn variable length ON
-mce => 1, # optional MCE support
-workers => 3, # number of workers (MCE)
);
# init population of 32-bit vectors
$ga->init(32);
# evolve 10 generations
$ga->evolve(10);
# best score
print "SCORE: ", $ga->as_value($ga->getFittest), ".\n";
# save evolution path as a chart
$ga->chart(-filename => 'evolution.png');
# save state of GA
$ga->save('genetic.sga');
# load state of GA
$ga->load('genetic.sga');
=head1 DESCRIPTION
This module provides efficient implementation of a genetic algorithm for
professional purpose with support for multiprocessing. It was designed to operate as fast as possible
even on very large populations and big individuals/chromosomes. C<AI::Genetic::Pro>
was inspired by C<AI::Genetic>, so it is in most cases compatible
(there are some changes). Additionally C<AI::Genetic::Pro> isn't a pure Perl solution, so it
doesn't have limitations of its ancestor (such as slow-down in the
case of big populations ( >10000 ) or vectors with more than 33 fields).
If You are looking for a pure Perl solution, consider L<AI::Genetic>.
=over 4
=item Speed
To increase speed XS code is used, however with portability in
mind. This distribution was tested on Windows and Linux platforms
(and should work on any other).
Multicore support is available through Many-Core Engine (C<MCE>).
You can gain the most speed up for big populations or time/CPU consuming
fitness functions, however for small populations and/or simple fitness
function better choice will be single-process version.
You can get even more speed up if you turn on use of native arrays
(parameter: C<native>) instead of packing chromosomes into single scalar.
However you have to remember about expensive memory use in that case.
=item Memory
This module was designed to use as little memory as possible. A population
of size 10000 consisting of 92-bit vectors uses only ~24MB (C<AI::Genetic>
would use about 78MB). However - if you use MCE - there will be bigger
memory consumption. This is consequence of necessity of synchronization
between many processes.
=item Advanced options
To provide more flexibility C<AI::Genetic::Pro> supports many
statistical distributions, such as C<uniform>, C<natural>, C<chi_square>
and others. This feature can be used in selection and/or crossover. See
the documentation below.
=back
=head1 METHODS
=over 4
=item I<$ga>-E<gt>B<new>( %options )
Constructor. It accepts options in hash-value style. See options and
an example below.
=over 8
=item -fitness
This defines a I<fitness> function. It expects a reference to a subroutine.
=item -terminate
This defines a I<terminate> function. It expects a reference to a subroutine.
=item -type
This defines the type of chromosomes. Currently, C<AI::Genetic::Pro> supports four types:
=over 12
=item bitvector
Individuals/chromosomes of this type have genes that are bits. Each gene can be in one of two possible states, on or off.
=item listvector
Each gene of a "listvector" individual/chromosome can assume one string value from a specified list of possible string values.
=item rangevector
Each gene of a "rangevector" individual/chromosome can assume one integer
value from a range of possible integer values. Note that only integers
are supported. The user can always transform any desired fractional values
by multiplying and dividing by an appropriate power of 10.
=item combination
Each gene of a "combination" individual/chromosome can assume one string value from a specified list of possible string values. B<All genes are unique.>
=back
=item -population
This defines the size of the population, i.e. how many chromosomes
simultaneously exist at each generation.
=item -crossover
This defines the crossover rate. The fairest results are achieved with
crossover rate ~0.95.
=item -mutation
This defines the mutation rate. The fairest results are achieved with mutation
rate ~0.01.
=item -preserve
This defines injection of the bests chromosomes into a next generation. It causes a little slow down, however (very often) much better results are achieved. You can specify, how many chromosomes will be preserved, i.e.
-preserve => 1, # only one chromosome will be preserved
# or
-preserve => 9, # 9 chromosomes will be preserved
# and so on...
Attention! You cannot preserve more chromosomes than exist in your population.
=item -variable_length
This defines whether variable-length chromosomes are turned on (default off)
and a which types of mutation are allowed. See below.
=over 8
=item level 0
Feature is inactive (default). Example:
-variable_length => 0
# chromosomes (i.e. bitvectors)
0 1 0 0 1 1 0 1 1 1 0 1 0 1
0 0 1 1 0 1 1 1 1 0 0 1 1 0
0 1 1 1 0 1 0 0 1 1 0 1 1 1
0 1 0 0 1 1 0 1 1 1 1 0 1 0
# ...and so on
=item level 1
Feature is active, but chromosomes can varies B<only on the right side>, Example:
-variable_length => 1
# chromosomes (i.e. bitvectors)
0 1 0 0 1 1 0 1 1 1
0 0 1 1 0 1 1 1 1
0 1 1 1 0 1 0 0 1 1 0 1 1 1
0 1 0 0 1 1 0 1 1 1
# ...and so on
=item level 2
Feature is active and chromosomes can varies B<on the left side and on
the right side>; unwanted values/genes on the left side are replaced with C<undef>, ie.
-variable_length => 2
# chromosomes (i.e. bitvectors)
x x x 0 1 1 0 1 1 1
x x x x 0 1 1 1 1
x 1 1 1 0 1 0 0 1 1 0 1 1 1
0 1 0 0 1 1 0 1 1 1
# where 'x' means 'undef'
# ...and so on
In this situation returned chromosomes in an array context ($ga-E<gt>as_array($chromosome))
can have B<undef> values on the left side (only). In a scalar context each
undefined value is replaced with a single space. If You don't want to see
any C<undef> or space, just use C<as_array_def_only> and C<as_string_def_only>
instead of C<as_array> and C<as_string>.
=back
=item -parents
This defines how many parents should be used in a crossover.
=item -selection
This defines how individuals/chromosomes are selected to crossover. It expects an array reference listed below:
-selection => [ $type, @params ]
where type is one of:
=over 8
=item B<RouletteBasic>
Each individual/chromosome can be selected with probability proportional to its fitness.
=item B<Roulette>
First the best individuals/chromosomes are selected. From this collection
parents are selected with probability poportional to their fitness.
=item B<RouletteDistribution>
Each individual/chromosome has a portion of roulette wheel proportional to its
fitness. Selection is done with the specified distribution. Supported
distributions and parameters are listed below.
=over 12
=item C<-selection =E<gt> [ 'RouletteDistribution', 'uniform' ]>
Standard uniform distribution. No additional parameters are needed.
=item C<-selection =E<gt> [ 'RouletteDistribution', 'normal', $av, $sd ]>
Normal distribution, where C<$av> is average (default: size of population /2) and $C<$sd> is standard deviation (default: size of population).
=item C<-selection =E<gt> [ 'RouletteDistribution', 'beta', $aa, $bb ]>
I<Beta> distribution. The density of the beta is:
X^($aa - 1) * (1 - X)^($bb - 1) / B($aa , $bb) for 0 < X < 1.
C<$aa> and C<$bb> are set by default to number of parents.
B<Argument restrictions:> Both $aa and $bb must not be less than 1.0E-37.
=item C<-selection =E<gt> [ 'RouletteDistribution', 'binomial' ]>
Binomial distribution. No additional parameters are needed.
=item C<-selection =E<gt> [ 'RouletteDistribution', 'chi_square', $df ]>
Chi-square distribution with C<$df> degrees of freedom. C<$df> by default is set to size of population.
=item C<-selection =E<gt> [ 'RouletteDistribution', 'exponential', $av ]>
Exponential distribution, where C<$av> is average . C<$av> by default is set to size of population.
=item C<-selection =E<gt> [ 'RouletteDistribution', 'poisson', $mu ]>
Poisson distribution, where C<$mu> is mean. C<$mu> by default is set to size of population.
=back
=item B<Distribution>
Chromosomes/individuals are selected with specified distribution. See below.
=over 12
=item C<-selection =E<gt> [ 'Distribution', 'uniform' ]>
Standard uniform distribution. No additional parameters are needed.
=item C<-selection =E<gt> [ 'Distribution', 'normal', $av, $sd ]>
Normal distribution, where C<$av> is average (default: size of population /2) and $C<$sd> is standard deviation (default: size of population).
=item C<-selection =E<gt> [ 'Distribution', 'beta', $aa, $bb ]>
I<Beta> distribution. The density of the beta is:
X^($aa - 1) * (1 - X)^($bb - 1) / B($aa , $bb) for 0 < X < 1.
C<$aa> and C<$bb> are set by default to number of parents.
B<Argument restrictions:> Both $aa and $bb must not be less than 1.0E-37.
=item C<-selection =E<gt> [ 'Distribution', 'binomial' ]>
Binomial distribution. No additional parameters are needed.
=item C<-selection =E<gt> [ 'Distribution', 'chi_square', $df ]>
Chi-square distribution with C<$df> degrees of freedom. C<$df> by default is set to size of population.
=item C<-selection =E<gt> [ 'Distribution', 'exponential', $av ]>
Exponential distribution, where C<$av> is average . C<$av> by default is set to size of population.
=item C<-selection =E<gt> [ 'Distribution', 'poisson', $mu ]>
Poisson distribution, where C<$mu> is mean. C<$mu> by default is set to size of population.
=back
=back
=item -strategy
This defines the astrategy of crossover operation. It expects an array
reference listed below:
-strategy => [ $type, @params ]
where type is one of:
=over 4
=item PointsSimple
Simple crossover in one or many points. The best chromosomes/individuals are
selected for the new generation. For example:
-strategy => [ 'PointsSimple', $n ]
where C<$n> is the number of points for crossing.
=item PointsBasic
Crossover in one or many points. In basic crossover selected parents are
crossed and one (randomly-chosen) child is moved to the new generation. For
example:
-strategy => [ 'PointsBasic', $n ]
where C<$n> is the number of points for crossing.
=item Points
Crossover in one or many points. In normal crossover selected parents are crossed and the best child is moved to the new generation. For example:
-strategy => [ 'Points', $n ]
where C<$n> is number of points for crossing.
=item PointsAdvenced
Crossover in one or many points. After crossover the best
chromosomes/individuals from all parents and chidren are selected for the new
generation. For example:
-strategy => [ 'PointsAdvanced', $n ]
where C<$n> is the number of points for crossing.
=item Distribution
In I<distribution> crossover parents are crossed in points selected with the
specified distribution. See below.
=over 8
=item C<-strategy =E<gt> [ 'Distribution', 'uniform' ]>
Standard uniform distribution. No additional parameters are needed.
=item C<-strategy =E<gt> [ 'Distribution', 'normal', $av, $sd ]>
Normal distribution, where C<$av> is average (default: number of parents/2) and C<$sd> is standard deviation (default: number of parents).
=item C<-strategy =E<gt> [ 'Distribution', 'beta', $aa, $bb ]>
I<Beta> distribution. The density of the beta is:
X^($aa - 1) * (1 - X)^($bb - 1) / B($aa , $bb) for 0 < X < 1.
C<$aa> and C<$bb> are set by default to the number of parents.
B<Argument restrictions:> Both $aa and $bb must not be less than 1.0E-37.
=item C<-strategy =E<gt> [ 'Distribution', 'binomial' ]>
Binomial distribution. No additional parameters are needed.
=item C<-strategy =E<gt> [ 'Distribution', 'chi_square', $df ]>
Chi-squared distribution with C<$df> degrees of freedom. C<$df> by default is set to the number of parents.
=item C<-strategy =E<gt> [ 'Distribution', 'exponential', $av ]>
Exponential distribution, where C<$av> is average . C<$av> by default is set to the number of parents.
=item C<-strategy =E<gt> [ 'Distribution', 'poisson', $mu ]>
Poisson distribution, where C<$mu> is mean. C<$mu> by default is set to the number of parents.
=back
=item PMX
PMX method defined by Goldberg and Lingle in 1985. Parameters: I<none>.
=item OX
OX method defined by Davis (?) in 1985. Parameters: I<none>.
=back
=item -cache
This defines whether a cache should be used. Allowed values are 1 or 0
(default: I<0>).
=item -history
This defines whether history should be collected. Allowed values are 1 or 0 (default: I<0>).
=item -native
This defines whether native arrays should be used instead of packing each chromosome into signle scalar.
Turning this option can give you speed up, but much more memory will be used. Allowed values are 1 or 0 (default: I<0>).
=item -mce
This defines whether Many-Core Engine (MCE) should be used during processing.
This can give you significant speed up on many-core/CPU systems, but it'll
increase memory consumption. Allowed values are 1 or 0 (default: I<0>).
=item -workers
This option has any meaning only if MCE is turned on. This defines how
many process will be used during processing. Default will be used one proces per core (most efficient).
=item -strict
This defines if the check for modifying chromosomes in a user-defined fitness
function is active. Directly modifying chromosomes is not allowed and it is
a highway to big trouble. This mode should be used only for testing, because it is B<slow>.
=back
=item I<$ga>-E<gt>B<inject>($chromosomes)
Inject new, user defined, chromosomes into the current population. See example below:
# example for bitvector
my $chromosomes = [
[ 1, 1, 0, 1, 0, 1 ],
[ 0, 0, 0, 1, 0, 1 ],
[ 0, 1, 0, 1, 0, 0 ],
...
];
# inject
$ga->inject($chromosomes);
If You want to delete some chromosomes from population, just C<splice> them:
my @remove = qw(1 2 3 9 12);
for my $idx (sort { $b <=> $a } @remove){
splice @{$ga->chromosomes}, $idx, 1;
}
=item I<$ga>-E<gt>B<population>($population)
Set/get size of the population. This defines the size of the population, i.e. how many chromosomes to simultaneously exist at each generation.
=item I<$ga>-E<gt>B<indType>()
Get type of individuals/chromosomes. Currently supported types are:
=over 4
=item C<bitvector>
Chromosomes will be just bitvectors. See documentation of C<new> method.
=item C<listvector>
Chromosomes will be lists of specified values. See documentation of C<new> method.
=item C<rangevector>
Chromosomes will be lists of values from specified range. See documentation of C<new> method.
=item C<combination>
Chromosomes will be unique lists of specified values. This is used for example
in the I<Traveling Salesman Problem>. See the documentation of the C<new>
method.
=back
In example:
my $type = $ga->type();
=item I<$ga>-E<gt>B<type>()
Alias for C<indType>.
=item I<$ga>-E<gt>B<crossProb>()
This method is used to query and set the crossover rate.
=item I<$ga>-E<gt>B<crossover>()
Alias for C<crossProb>.
=item I<$ga>-E<gt>B<mutProb>()
This method is used to query and set the mutation rate.
=item I<$ga>-E<gt>B<mutation>()
Alias for C<mutProb>.
=item I<$ga>-E<gt>B<parents>($parents)
Set/get number of parents in a crossover.
=item I<$ga>-E<gt>B<init>($args)
This method initializes the population with random individuals/chromosomes. It MUST be called before any call to C<evolve()>. It expects one argument, which depends on the type of individuals/chromosomes:
=over 4
=item B<bitvector>
For bitvectors, the argument is simply the length of the bitvector.
$ga->init(10);
This initializes a population where each individual/chromosome has 10 genes.
=item B<listvector>
For listvectors, the argument is an anonymous list of lists. The number of sub-lists is equal to the number of genes of each individual/chromosome. Each sub-list defines the possible string values that the corresponding gene can assume.
$ga->init([
[qw/red blue green/],
[qw/big medium small/],
[qw/very_fat fat fit thin very_thin/],
]);
This initializes a population where each individual/chromosome has 3 genes and each gene can assume one of the given values.
=item B<rangevector>
For rangevectors, the argument is an anonymous list of lists. The number of sub-lists is equal to the number of genes of each individual/chromosome. Each sub-list defines the minimum and maximum integer values that the corresponding gene can assume.
$ga->init([
[1, 5],
[0, 20],
[4, 9],
]);
This initializes a population where each individual/chromosome has 3 genes and each gene can assume an integer within the corresponding range.
=item B<combination>
For combination, the argument is an anonymous list of possible values of gene.
$ga->init( [ 'a', 'b', 'c' ] );
This initializes a population where each chromosome has 3 genes and each gene
is a unique combination of 'a', 'b' and 'c'. For example genes looks something
like that:
[ 'a', 'b', 'c' ] # gene 1
[ 'c', 'a', 'b' ] # gene 2
[ 'b', 'c', 'a' ] # gene 3
# ...and so on...
=back
=item I<$ga>-E<gt>B<evolve>($n)
This method causes the GA to evolve the population for the specified number of
generations. If its argument is 0 or C<undef> GA will evolve the population to
infinity unless a C<terminate> function is specified.
=item I<$ga>-E<gt>B<getHistory>()
Get history of the evolution. It is in a format listed below:
[
# gen0 gen1 gen2 ... # generations
[ max0, max1, max2, ... ], # max values
[ mean, mean1, mean2, ... ], # mean values
[ min0, min1, min2, ... ], # min values
]
=item I<$ga>-E<gt>B<getAvgFitness>()
Get I<max>, I<mean> and I<min> score of the current generation. In example:
my ($max, $mean, $min) = $ga->getAvgFitness();
=item I<$ga>-E<gt>B<getFittest>($n, $unique)
This function returns a list of the fittest chromosomes from the current
population. You can specify how many chromosomes should be returned and if
the returned chromosomes should be unique. See example below.
# only one - the best
my ($best) = $ga->getFittest;
# or 5 bests chromosomes, NOT unique
my @bests = $ga->getFittest(5);
# or 7 bests and UNIQUE chromosomes
my @bests = $ga->getFittest(7, 1);
If you want to get a large number of chromosomes, try to use the
C<getFittest_as_arrayref> function instead (for efficiency).
=item I<$ga>-E<gt>B<getFittest_as_arrayref>($n, $unique)
This function is very similar to C<getFittest>, but it returns a reference
to an array instead of a list.
=item I<$ga>-E<gt>B<generation>()
Get the number of the current generation.
=item I<$ga>-E<gt>B<people>()
Returns an anonymous list of individuals/chromosomes of the current population.
B<IMPORTANT:> the actual array reference used by the C<AI::Genetic::Pro>
object is returned, so any changes to it will be reflected in I<$ga>.
=item I<$ga>-E<gt>B<chromosomes>()
Alias for C<people>.
=item I<$ga>-E<gt>B<chart>(%options)
Generate a chart describing changes of min, mean, and max scores in your
population. To satisfy your needs, you can pass the following options:
=over 4
=item -filename
File to save a chart in (B<obligatory>).
=item -title
Title of a chart (default: I<Evolution>).
=item -x_label
X label (default: I<Generations>).
=item -y_label
Y label (default: I<Value>).
=item -format
Format of values, like C<sprintf> (default: I<'%.2f'>).
=item -legend1
Description of min line (default: I<Min value>).
=item -legend2
Description of min line (default: I<Mean value>).
=item -legend3
Description of min line (default: I<Max value>).
=item -width
Width of a chart (default: I<640>).
=item -height
Height of a chart (default: I<480>).
=item -font
Path to font (in *.ttf format) to be used (default: none).
=item -logo
Path to logo (png/jpg image) to embed in a chart (default: none).
=item For example:
$ga->chart(-width => 480, height => 320, -filename => 'chart.png');
=back
=item I<$ga>-E<gt>B<save>($file)
Save the current state of the genetic algorithm to the specified file.
=item I<$ga>-E<gt>B<load>($file)
Load a state of the genetic algorithm from the specified file.
=item I<$ga>-E<gt>B<as_array>($chromosome)
In list context return an array representing the specified chromosome.
In scalar context return an reference to an array representing the specified
chromosome. If I<variable_length> is turned on and is set to level 2, an array
can have some C<undef> values. To get only C<not undef> values use
C<as_array_def_only> instead of C<as_array>.
=item I<$ga>-E<gt>B<as_array_def_only>($chromosome)
In list context return an array representing the specified chromosome.
In scalar context return an reference to an array representing the specified
chromosome. If I<variable_length> is turned off, this function is just an
alias for C<as_array>. If I<variable_length> is turned on and is set to
level 2, this function will return only C<not undef> values from chromosome.
See example below:
# -variable_length => 2, -type => 'bitvector'
my @chromosome = $ga->as_array($chromosome)
# @chromosome looks something like that
# ( undef, undef, undef, 1, 0, 1, 1, 1, 0 )
@chromosome = $ga->as_array_def_only($chromosome)
# @chromosome looks something like that
# ( 1, 0, 1, 1, 1, 0 )
=item I<$ga>-E<gt>B<as_string>($chromosome)
Return a string representation of the specified chromosome. See example below:
# -type => 'bitvector'
my $string = $ga->as_string($chromosome);
# $string looks something like that
# 1___0___1___1___1___0
# or
# -type => 'listvector'
$string = $ga->as_string($chromosome);
# $string looks something like that
# element0___element1___element2___element3...
Attention! If I<variable_length> is turned on and is set to level 2, it is
possible to get C<undef> values on the left side of the vector. In the returned
string C<undef> values will be replaced with B<spaces>. If you don't want
to see any I<spaces>, use C<as_string_def_only> instead of C<as_string>.
=item I<$ga>-E<gt>B<as_string_def_only>($chromosome)
Return a string representation of specified chromosome. If I<variable_length>
is turned off, this function is just alias for C<as_string>. If I<variable_length>
is turned on and is set to level 2, this function will return a string without
C<undef> values. See example below:
# -variable_length => 2, -type => 'bitvector'
my $string = $ga->as_string($chromosome);
# $string looks something like that
# ___ ___ ___1___1___0
$string = $ga->as_string_def_only($chromosome);
# $string looks something like that
# 1___1___0
=item I<$ga>-E<gt>B<as_value>($chromosome)
Return the score of the specified chromosome. The value of I<chromosome> is
calculated by the fitness function.
=back
=head1 SUPPORT
C<AI::Genetic::Pro> is still under development; however, it is used in many
production environments.
=head1 TODO
=over 4
=item Examples.
=item More tests.
=item More warnings about incorrect parameters.
=back
=head1 REPORTING BUGS
When reporting bugs/problems please include as much information as possible.
It may be difficult for me to reproduce the problem as almost every setup
is different.
A small script which yields the problem will probably be of help.
=head1 THANKS
Mario Roy for suggestions about efficiency.
Miles Gould for suggestions and some fixes (even in this documentation! :-).
Alun Jones for fixing memory leaks.
Tod Hagan for reporting a bug (rangevector values truncated to signed 8-bit quantities) and supplying a patch.
Randal L. Schwartz for reporting a bug in this documentation.
Maciej Misiak for reporting problems with C<combination> (and a bug in a PMX strategy).
LEONID ZAMDBORG for recommending the addition of variable-length chromosomes as well as supplying relevant code samples, for testing and at the end reporting some bugs.
Christoph Meissner for reporting a bug.
Alec Chen for reporting some bugs.
=head1 AUTHOR
Strzelecki Lukasz <lukasz@strzeleccy.eu>
=head1 SEE ALSO
L<AI::Genetic>
L<Algorithm::Evolutionary>
=head1 COPYRIGHT
Copyright (c) Strzelecki Lukasz. All rights reserved.
This program is free software; you can redistribute it and/or modify it
under the same terms as Perl itself.
=cut
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