Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
The CAGenetics Paclet is comprised of many functions that help in the exploration of one-dimensional cellular automata using a unified model.
Gene Manipulation
— breaks a rule into genes
— takes a list of genes and returns a rule
Gene Sets (Not yet suitable for k>2)
— returns the gene set
— returns the offset gene set
Genealogy Trees and Ancestor Graphs
— returns the genetic tree for a rule
— returns the equation tree for a rule
— returns the evolution tree for a rule
▪ ▪ ▪ SymmetryIndexTree ▪ ▪ ▪
Transformation to Normal Space
— transforms a rule into normal space
Transformation from Normal Space
— transforms a normal rule to regular space
Random Rules and Genes
— returns a random rule in a given rule space
— returns a random symmetric rule in a given rule space
— returns a random asymmetric rule in a given rule space
— returns a random semi asymmetric rule in a given rule space
Special Rules
— returns the identity rule in a given rule space
— returns the inverse rule in a given rule space
— returns the negated rule in a given rule space
— returns the reverse rule in a given rule space
— returns the reflected rule in a given rule space
— returns the canonical rule in a given rule space
— returns the Modulo-Additive Equivalent rule in a given rule space
Rule Sets
— returns the equivalent class for a given rule in a rule space
— returns the normal rules in the diagonal of the normal space
— returns the rules in the diagonal of the normal space
Functions in Normal Space
— returns the reflected normal rule
— returns the normal space center
— returns the normal space reference
Test Functions
— checks if the rule is self-reflective
— checks if the rule is reversible
— checks if the function output is monotone
— checks is the rule is semi asymmetric
Measures
— computes the difference between two rules
— computes the Langton's Lambda parameter of a rule
— computes the Delta parameter of a rule
— computes the symmetry index of a rule
Equations
— returns the polynomial of a rule
— returns the polynomial of a gene
— computes the output of a function based on the polynomial coefficients
— computes the polynomial coefficients based on the output of a function
— creates a probabilistic cellular automata rule
Miscellaneous
— random initial conditions
— estimates the Wolfram class for a rule evolution
— gets the Wolfram class of a rule in the ECA
— computes the entropy of a rule
— plots a cellular automata rule