CoCalc -- Comp.h

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A (one dimensional) cellular automaton is a function1 F : Σ → Σ with the property that there is a K > 0 such that F (x)i depends only on the 2K + 1 coordinates xi−K , xi−K+1, . . . , xi−1, xi, xi+1, . . . , xi+K . A periodic point of σ is any x such that σ^p (x) = x for some p ∈ N, and a periodic point of F is any x such that F^q (x) = x for some q ∈ N. Given a cellular automaton F, a point x ∈ Σ is jointly periodic if there are p, q ∈ N such that σ^p (x) = F^q (x) = x, that is, it is a periodic point under both functions.

This project aims to explore the nature of one-dimensional Cellular Automata, in the hope of finding the structure of cellular automata through its periodic points.

Shared Project -- M498ES23-Cellular-Automata

LEMMA Research Project / Code / Source code / Program (1) / Program / Source / Comp.h

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License: MIT
ubuntu2004

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/*
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 * Copyright (C) 2004 Bryant Lee
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 *
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 * This file is part of FPeriod.
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 *
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 * FPeriod is free software; you can redistribute it and/or modify
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 * it under the terms of the GNU General Public License as published by
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 * the Free Software Foundation; either version 2 of the License, or
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 * (at your option) any later version.
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 *
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 * FPeriod is distributed in the hope that it will be useful,
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 * but WITHOUT ANY WARRANTY; without even the implied warranty of
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 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
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 * GNU General Public License for more details.
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 *
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 * You should have received a copy of the GNU General Public License
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 * along with FPeriod; if not, write to the Free Software
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 * Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA  02110-1301  USA
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 */
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/**
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 * Represents a composition of poly functions
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 *
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 * Written by: Bryant Lee
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 * Date: 11/22/04
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 **/
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#ifndef COMP_H
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#define COMP_H
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#include "Func.h"
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#include <map>
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#include <vector>
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#include <string>
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#include <fstream> //used in printDefinitions()
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class Comp {
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 private:
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  int shiftSize; //#symbols in shift
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  map<string, Func *> funcStore; //available functions for composition
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  vector<Func *> composition; //the functions in the order to apply them
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  vector<string> compNames; //the composition as a list of names
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  //delete Func objects whose ptrs are in the funcStore map
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  void clearFuncStore();
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 public:
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  //constructor
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  Comp(int iShiftSize);
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  //destructor
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  ~Comp();
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  //returnName
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  string returnName();
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  //printDefinitions
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  void printDefinitions(ofstream & fout);
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  //print
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  void print();
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  //set the composition
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  bool setComposition(const string & inStr);
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  //add a function available for composing
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  void addFunc(const string & inStr, string name, bool opt);
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  //return image of word x
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  void image(byte *word, int wordLength, byte *output);
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  //return image of word x
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  void image(unsigned int *word, int wordLength, unsigned int *output,
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	     unsigned int blocks);
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};
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#endif
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