Algorithm::Genetic

A basic genetic algorithm implementation for Perl6!

NAME

Algorithm::Genetic - A basic genetic algorithm implementation for Perl6!

Use the Algorithm::Genetic distribution to implement your own evolutionary searches.

This library was written primarily for learning so there likely are some rough edges. Feel to report any issues and contributions are welcome!

SYNOPSIS

use Algorithm::Genetic;
use Algorithm::Genetic::Genotype;
use Algorithm::Genetic::Selection::Roulette;

my $target = 42;

# First implement the is-finished method for our specific application.
# Note that we compose in our selection behaviour of the Roulette role.
class FindMeaning does Algorithm::Genetic does Algorithm::Genetic::Selection::Roulette {
  has int $.target;
  method is-finished() returns Bool {
    #say "Gen{ self.generation } - pop. size: { @!population.elems }";
    self.population.tail[0].result == $!target;
  }
}

# Create our Genotype
class Equation does Algorithm::Genetic::Genotype {
  our $eq-target = $target;
  our @options = 1, 9;

  # Note that we use the custom is mutable trait to provide a routine to mutate our attribute.
  has Int $.a is mutable( -> $v { (-1, 1).pick + $v } ) = @options.pick;
  has Int $.b is mutable( -> $v { (-1, 1).pick + $v } ) = @options.pick;

  method result() { $!a * $!b }

  # A scoring method is required for our genotype :)
  method !calc-score() returns Numeric {
    (self.result() - $eq-target) ** 2
  }
}

# Instantiate our search
my FindMeaning $ga .= new(
  :genotype(Equation.new)
  :mutation-probability(4/5)
  :$target
);

# Go!
$ga.evolve(:generations(1000), :size(16));

say "stopped at generation { $ga.generation } with result: { .a } x { .b } = { .result } and a score of { .score }" given $ga.population.tail[0];

DESCRIPTION

Algorithm::Genetic distribution currently provides the following classes:

Algorithm::Genetic
Algorithm::Genetic::Crossoverable
Algorithm::Genetic::Genotype
Algorithm::Genetic::Selection
Algorithm::Genetic::Selection::Roulette

AUTHOR

Sam Gillespie [email protected]

COPYRIGHT AND LICENSE

This library is free software; you can redistribute it and/or modify it under the Artistic License 2.0.

Reference

NAME

Algorithm::Genetic - A role for genetic algorithms.

unit role Algorithm::Genetic does Algorithm::Genetic::Selection

METHODS

method new(
Int:D                         :$population-size       = 100,
Rat:D                         :$crossover-probability = 7/10,
Rat:D                         :$mutation-probability  = 1/100,
Algorithm::Genetic::Genotype  :$genotype is required
)

Probability values are expected to be between 0 and 1.

method generation

method generation() returns Int

Returns the current generation. Returns 0 if there have been no evolutions

method population

method population() returns Seq

Returns a sequence of the current population. This may be an empty list if no calls to Evolve have been made.

method evolve

method evolve(
    Int :$generations = 1,
    Int :$size = 1
) returns Mu

Evolve our population. generations sets an upper limit of generations if the conditions in is-finished our not satisfied. Size is how many couples to pair each generation.

method sort-population

method sort-population() returns Mu

Sort our population by score. The higher the score the better! (This is a private method but may not appear that way in the doc...)

method is-finished

method is-finished() returns Bool

The termination condition for this algorithm. This must be implemented by an algorithm for assessing if we have achieved our goal.

NAME

Algorithm::Genetic::Selection - A role for selection algorithms.

unit role Algorithm::Genetic::Selection;

METHODS

method selection-strategy

method selection-strategy(
    Int $selection = 2
) returns Seq

The selection strategy for an algorithm. This method holds the logic for a selection strategy and must be implemented by consuming roles. The selection parameter specifies how many entities from our population to select.

method population

method population() returns Seq

A method for accessing a population. We expect that all elements of the returned list will implement the score method as per Genotype.

NAME

Algorithm::Genetic::Selection::Roulette - A role for roulette selection.

unit role Algorithm::Genetic::Selection::Roulette does Algorithm::Genetic::Selection;

METHODS

method selection-strategy

method selection-strategy(
    Int $selection = 2
) returns Mu

implements roulette selection for a population provided by the population method. Roulette selection selects randomly from the population with a preference towards higher scoring individuals.

NAME

Algorithm::Genetic::Genotype - A role for defining genotypes.

unit role Algorithm::Genetic::Genotype does Algorithm::Genetic::Crossoverable;

METHODS

method score

method score() returns Numeric

Score this genotype instance. The score will be calculated and cached on the first call.

multi sub trait_mod:

multi sub trait_mod:<is>(
    Attribute $attr,
    :$mutable!
) returns Mu

The is mutable trait attaches a mutation function to an attribute. the :mutable argument must be Callable. On mutation the mutator will be executed with the current value of the attribute. The return value of the mutator will be assigned to the attribute.

method calc-score

method calc-score() returns Numeric

This method must be implemented by a consuming class. The calc-score method is called by score the score method. (This method is private but may not appear that way in the docs!)

method new-random

method new-random() returns Algorithm::Genetic::Genotype

This method may be optionally overridden if the genotype has required values. new-random is called when construction the initial population for a Algorithm::Genetic implementing class.

NAME

Algorithm::Genetic::Crossoverable - A role providing crossover behaviour of attribute values.

unit role Algorithm::Genetic::Crossoverable;

METHODS

method crossover

method crossover(
    Algorithm::Genetic::Crossoverable $other,
    Rat $ratio
) returns List

Crossover between this and another Crossoverable object. Use the ratio to manage where the crossover point will be. standard attribute types will be swapped by value and Arrays will be swapped recursively. Note that this process effectively duck types attributes so best to only crossover between instances of the same class!