Cellular Automata


Title Page

1a: Technical Paper (html)
1b: Technical Paper (LaTeX)
1c: Technical Paper (pdf)
2: References
3: Sample Runs
4a: CA Code
4b: GA Code
5: Technical Paper Reading
6: Project Description
7: Oral Report
8a: Daily Logs
8b: Bi-Weekly Goals
8c: Final Iteration Progress Report (#6)
9: Scientific Method
10: Tutorial
11: Next Year





This is the cellular automata, which defines the interactions between the rules and the test arrays, as well as the determination and recording of success.
import java.util.Random; /** * @author Austin Rachlin * Summer 2002 * Majority Classification Problem */ //Uses 7 neighbors class test { int[] array = new int[149]; } class rule { int[] array = new int[128]; int val; } public class MCP { public static Random rand; static { rand = new java.util.Random();} public static void main(String[] args) { //Calls CreateArrays //Calls CreateRules //Calls RunAllRules ////GA //Returns some value System.out.println("Hajimemashoo"); //Modifiable variables // int NumberOfTests=100; int NumberOfRules=100; int NumberOfFinalTests=1000; // test[] TestList = new test[NumberOfTests]; CreateArrays(TestList); rule[] RuleList = new rule[NumberOfRules]; CreateArrays(RuleList); // int nbrs = 3; RunAllRules(RuleList, TestList); rule Best = SelectBest(RuleList); System.out.println(""); System.out.println("BEST"); DisplayArrays(Best); test[] FinalTestList = new test[NumberOfFinalTests]; CreateArrays(FinalTestList); float result = FinalExam(Best, FinalTestList); //Calls SelectBest //Calls FinalExam System.out.println("Result: " + result + "%"); System.out.println(""); System.out.println("owatta!"); } public static void DisplayArrays(test List) { String str = ""; for (int i = 0; i < List.array.length; i++) { str += List.array[i]; } System.out.println(str); } public static void DisplayArrays(rule List) { String str = ""; for (int i = 0; i < List.array.length; i++) { str += List.array[i]; } System.out.println("Rule: " + str + " val: " + List.val); } public static void PrintArray(test List) { String str = ""; for (int i = 0; i < List.array.length; i++) { if (List.array[i] == 1) { str += "|"; } else { str += " "; } } System.out.println(str); } public static void CreateArrays(test[] List) //Takes 2D array of arrays (empty) and # of desired arrays { //Creates all of the arrays //2D array of all the individual arrays for (int i = 0; i < List.length; i++) { List[i] = new test(); for (int j = 0; j < List[i].array.length; j++) { if (rand.nextBoolean() == true) { List[i].array[j] = 0; } else { List[i].array[j] = 1; } } } } public static void CreateArrays(rule[] List) //Takes 2D array of arrays (empty) and # of desired arrays { //Creates all of the arrays //2D array of all the individual arrays for (int i = 0; i < List.length; i++) { List[i] = new rule(); for (int j = 0; j < List[i].array.length; j++) { List[i].val = 0; if (rand.nextBoolean() == true) { List[i].array[j] = 0; } else { List[i].array[j] = 1; } } } } public static void RunAllRules(rule[] RuleList, test[] TestList) //Takes all rules and tests { //Runs a loop to call ApplyRuleToAllTests for every rule boolean prnt = false; for (int i=0; i < RuleList.length; i++) { ApplyRuleToAllTests(RuleList[i], TestList, prnt); } } public static void ApplyRuleToAllTests(rule Rule, test[] TestList, boolean prnt) //Takes a rule and all tests { //Runs a loop to call ApplyRuleToSingleTest for all tests for (int i =0; i < TestList.length; i++) { ApplyRuleToSingleTest(Rule, TestList[i], prnt); } } public static void ApplyRuleToSingleTest(rule Rule, test Test, boolean prnt) //Takes a rule and a test { //Applies the individual rule to an individual test //Calls EvalArray //Calls StoreArray //Calls RecordSuccess int runTime = 100; test T1 = Test; int maj = FindMajority(Test, prnt); int runs = 0; do { for (int i=0; i < Test.array.length; i++) { T1.array[i] = EvalArray(i, Rule, Test); } if (prnt == true) { PrintArray(Test); } runs ++; }while ((AllSame(Test) == false) & (runs < runTime)); if (prnt == true) { for (int i=0; i < 5; i++) { System.out.println("^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^"); } System.out.println(""); } Rule.val += RecordSuccess(maj, T1); } public static int FindMajority(test Test, boolean prnt) { int on = 0; int off = 0; for (int i=0; i < Test.array.length; i++) { if (Test.array[i] == 0) { off++; } if (Test.array[i] == 1) { on++; } } if (prnt == true) { System.out.println("BLACK: " + on); System.out.println("WHITE: " + off); } if (on > off) { if (prnt == true) { System.out.println("majority: ON"); } return 1; } else { if (prnt == true) { System.out.println("majority: OFF"); } return 0; } } /* public static int EvalArray(int pos, rule Rule, test Test) //Takes a single position and a rule { //Evaluates the array at a single position according to the rule int x; int y; int z; if (pos == 0) { x = Test.array[Test.array.length-1]; } else { x = Test.array[pos-1]; } y = Test.array[pos]; if (pos == Test.array.length - 1) { z = Test.array[0]; } else { z = Test.array[pos + 1]; } int val = (((x << 1) | y) << 1) | z; return Rule.array[val]; } */ public static int EvalArray(int pos, rule Rule, test Test) //Takes a single position and a rule { //Evaluates the array at a single position according to the rule int min3; int min2; int min1; int cntr; int max1; int max2; int max3; if (pos == 0) { min3 = Test.array[Test.array.length-3]; min2 = Test.array[Test.array.length-2]; min1 = Test.array[Test.array.length-1]; } else if (pos == 1) { min3 = Test.array[Test.array.length-2]; min2 = Test.array[Test.array.length-1]; min1 = Test.array[pos-1]; } else if (pos == 2) { min3 = Test.array[Test.array.length-1]; min2 = Test.array[pos-2]; min1 = Test.array[pos-1]; } else { min3 = Test.array[pos-3]; min2 = Test.array[pos-2]; min1 = Test.array[pos-1]; } cntr = Test.array[pos]; if (pos == Test.array.length - 1) { max1 = Test.array[0]; max2 = Test.array[1]; max3 = Test.array[2]; } else if (pos == Test.array.length - 2) { max1 = Test.array[pos + 1]; max2 = Test.array[0]; max3 = Test.array[1]; } else if (pos == Test.array.length - 3) { max1 = Test.array[pos + 1]; max2 = Test.array[pos + 2]; max3 = Test.array[0]; } else { max1 = Test.array[pos + 1]; max2 = Test.array[pos + 2]; max3 = Test.array[pos + 3]; } int val = (((((((((((min3 << 1) | min2) << 1) | min1) << 1) | cntr) << 1) | max1) << 1) | max2) << 1) | max3; // int val = (((x << 1) | y) << 1) | z; return Rule.array[val]; } /* public static void StoreArray() //Takes a single position value and location (x and y) { //Stores the resultant position of the array in the 2D array } */ public static int RecordSuccess(int maj, test T1) //Takes a rule and modified array { //Modifies the value of the rule depending upon the outcome if (AllSame(T1) == true) { if (maj == T1.array[0]) { return 1; } } return 0; } public static boolean AllSame(test T1) { int check = T1.array[0]; boolean result = true; for (int i = 0; i < T1.array.length; i++) { if (check != T1.array[i]) { result = false; } } return result; } public static int ReturnSuccess(rule Rule) //Takes a rule { //Returns the success of a single rule return Rule.val; } public static rule SelectBest(rule[] RuleList) { //Chooses the best rule rule Best = new rule(); Best.val = -1; for (int i = 0; i < RuleList.length; i++) { if (RuleList[i].val > Best.val) { Best.array = RuleList[i].array; Best.val = RuleList[i].val; } } return Best; } public static float FinalExam(rule Best, test[] FinalTestList) { System.out.println("_________________________"); //Calls CreatArrays with enormous number //Applies best rule to giant 2D array of landscapes //Returns success rate System.out.println("FINAL TEST"); // DisplayArrays(Best); Best.val = 0; boolean prnt = false; ApplyRuleToAllTests(Best, FinalTestList, prnt); System.out.println(Best.val + " / " + FinalTestList.length); float val = Best.val; float success = (100 * val / FinalTestList.length); return success; } }

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