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CalculusRNGDiff.java
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CalculusRNGDiff.java
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/*
* To change this license header, choose License Headers in Project Properties.
* To change this template file, choose Tools | Templates
* and open the template in the editor.
*/
package Calculus;
import static Calculus.CalculusApplication.GetPrimeNumber;
import static Calculus.CalculusApplication.PrimeNumber;
import Calculus.DiffrIntegrSep.DiffExpr;
import Calculus.MathsContxtLAv.Expression;
import static Calculus.DiffrIntegrSep.MyFuncDiff;
import static Calculus.MathsContxtLAv.MyFuncExpress;
import static Calculus.MathsContxtLAv.MyFuncSimple;
import Calculus.MathsContxtLAv.SimpleExpression;
import static Calculus.MathsContxtLAv.eatAll;
import static Calculus.MathsContxtLAv.parse;
import static Calculus.DiffrIntegrSep.parseDiff;
import static Calculus.MathsContxtLAv.parseSimple;
import static Calculus.UsageCalculus.FormEquation;
import Plot.PlotSSCCE;
import java.util.HashMap;
import java.util.Map;
import org.apache.log4j.Logger;
import java.awt.*;
import java.awt.event.*;
import java.awt.image.*;
import java.util.List;
import javax.swing.ImageIcon;
import java.util.LinkedList;
/**
*
* @author Administrator
*/
public class CalculusRNGDiff {
public static Logger log = Logger.getLogger(CalculusRNGDiff.class.getName());
public static LinkedList<String> TupleStore;
public static int x = 0, y = 0;
public static String RandomEquation(String a, String c, String RandVar) {
String Exprn = a + " * " + RandVar + "^7" + " + " + RandVar + "^5" + " + " + RandVar + "^2" + " - " + RandVar + " + " + c;
Exprn = eatAll(Exprn, ' ');
return Exprn;
}
public static long RandomDiff(String Exprn, int planeNum, String AlgoName, long Xn, long MgtACoeff, long MgtbCoeff, long Mgtc, long MgtModulus, String TechDiffWithRespTo) {
//Value = (a * Factorial + c) % (FactorialSpread + 1);
Map<String, Double> variables = new HashMap<>();
MyFuncExpress();
MyFuncDiff();
MyFuncSimple();
//log.info("RNGDiff:Expr_LCG_Factorial: Xn=" + Xn + " Basic Simple Exprn=" + Exprn);
SimpleExpression expSimple;
Expression expValue;
String StrexpSimpleExpress = "";
String StrexpDiffExpress = "";
int TechDiffOrder = 1;
long TempXn = 0;
expValue = parse(Exprn, variables, TechDiffWithRespTo, "Silent",MathsContxtLAv.LogLevel.Off);
TempXn = (long)( expValue.eval().longValue() % (MgtModulus ) );
long Xnplus1 = TempXn;
for (; (TechDiffOrder < /*MaxOrderOfX*/ 10) && (TempXn == Xnplus1); TechDiffOrder++) {
variables.put(TechDiffWithRespTo, ((double) Xn));
//expSimple = parseSimple(Exprn, variables, variablesDiff, DiffWithRespTo);
//StrexpSimpleExpress = expSimple.SimpleExpr();
//log.info("RNGDiff:Expr_LCG_Factorial: Xn=" + Xn + " Basic Simple Exprn=" + StrexpSimpleExpress);
DiffExpr exp = parseDiff(Exprn, variables, TechDiffWithRespTo);
StrexpDiffExpress = exp.DiffExpr();
//log.info("RNGDiff:Expr_LCG_Factorial:Result(Diff Equation)(" + TechDiffOrder + " th order)=> " + StrexpDiffExpress);
//expSimple = parseSimple(StrexpDiffExpress, variables, variablesDiff, DiffWithRespTo);
//StrexpSimpleExpress = expSimple.SimpleExpr();
//log.info("RNGDiff:Expr_LCG_Factorial: Xn=" + Xn + " Basic Simple Exprn=" + StrexpSimpleExpress);
expValue = parse(StrexpDiffExpress, variables, TechDiffWithRespTo, "Silent",MathsContxtLAv.LogLevel.Off);
//log.info("RNGDiff:Expr_LCG_Factorial:Result(Value)(x)=" + expValue.eval());
Exprn = StrexpDiffExpress;
if (TechDiffOrder > 1) {
TempXn = Xnplus1;
}
Xnplus1 = (long) (expValue.eval() % (MgtModulus ));
//Xnplus1=(long)(expValue.eval() );
}
//log.warn("RNGDiff:Expr_LCG_Factorial:Depth=" + DiffOrder);
//log.info("RNGDiff:Expr_LCG_Factorial:Exprn=" + Exprn);
//log.info("RNGDiff:Expr_LCG_Factorial:Xn=" + Xn);
//log.info("RNGDiff:Expr_LCG_Factorial:Xnplus1=" + Xnplus1);
return ((long) Xnplus1);
}
public static void main(String... args) {
Dimension screenSize = Toolkit.getDefaultToolkit().getScreenSize();
int sizex = (int) screenSize.getHeight();
int sizey = (int) screenSize.getWidth();
PlotSSCCE mySSCCE=new PlotSSCCE(sizex,sizey);
mySSCCE.createAndShowGUI(sizex,sizey);
int dups=0;
int NumEqnChanged=0;
int timeRetry = 5;
long i = 0;
int MgtMaxExponent=37;
log.fatal("RNGDiffTest:main:Plots Random Pixels on the SCCE Screen. Remember to repaint by Maximize & Restore Down Toggle");
TupleStore = new LinkedList<String>();
StoreTuple(x, y);
log.fatal("RNGDiffTest:main:sizex=" + sizex);
log.fatal("RNGDiffTest:main:sizey=" + sizey);
log.fatal("RNGDiffTest:main:Total Pixel=" + (sizex*sizey) );
String TechDiffWithRespTo="Xn";
long PrimeY = PrimeNumber(sizey) ;
String yExprn = FormEquation(y, (long) 41, (long) 5, (long) PrimeY, TechDiffWithRespTo, MgtMaxExponent);
long PrimeX = GetPrimeNumber(sizex,0) ;
String xExprn = FormEquation(x, (long) 41, (long) 5, (long) PrimeX, TechDiffWithRespTo, MgtMaxExponent);
log.fatal("RNGDiffTest:main:xExprn="+xExprn);
log.fatal("RNGDiffTest:main:yExprn="+yExprn);
log.fatal("RNGDiffTest:main:PrimeY=" + PrimeY + " PrimeX=" + PrimeX);
log.fatal("RNGDiffTest:main:Speed is better if we comment all log.info in MathsContxtLAv4_0 !!!");
log.fatal("RNGDiffTest:main:Started !!!");
for (i=0; i < 10000/*(sizex*sizey)*/; i++) {
//log.fatal("RNGDiff:main:x=" + x + " y=" + y + " i=" + i);
//if ((x >= 0) && (x < sizex) && (y >= 0) && (y < sizey)) {
mySSCCE.showPixel(x,y,0xFFFFFF);
// } else {
// log.fatal("RNGDiff:main:NOT Printing");
// }
while (timeRetry > 0) {
//yExprn = FormEquation(y, (long) 37.0, (long) 5.0, (long) 17.0, "Xn", (int) 7);
double temp = (int) RandomDiff(yExprn, 0, "main", (long) y, (long) 37.0, (long) 17.0, (long) 5.0, PrimeY, TechDiffWithRespTo);
//Mapping "-RND 0 RND" to "0 RND"
if (temp < 0) {
temp = (-1.0) * temp;
}
//0 to RND
if ((temp >= 0) && (temp < sizey)) {
y = (int) temp;
} else {
y = ((int) temp % (sizey + 1));
}
//log.warn("RNGDiff:main:y:temp=" + temp);
//log.warn("RNGDiff:main:y=" + y);
//xExprn = FormEquation(x, (long) 17.0, (long) 5.0, (long) 17.0, "Xn", (int) 7);
temp = (int) RandomDiff(xExprn, 0, "main", (long) x, (long) 17.0, (long) 17.0, (long) 5.0, PrimeX,TechDiffWithRespTo);
//Mapping "-RND 0 RND" to "0 RND"
if (temp < 0) {
temp = (-1.0) * temp;
}
//0 to RND
if ((temp >= 0) && (temp < sizex)) {
x = (int) temp;
} else {
x = ((int) temp % (sizex + 1));
}
//log.warn("RNGDiff:main:x:temp=" + temp);
//log.warn("RNGDiff:main:x=" + x);
if (StoreTuple(x, y)) {
timeRetry = 5;
break;
} else {
log.fatal("RNGDiffTest:main:Found Same Tuple: x=" + x + " y=" + y + " dups=" + (++dups) + " i=" + i + " timeRetry=" + timeRetry );
//String Temp = TupleStore.getLast();
//String[] TempData = Temp.split("@");
//if (TempData.length >= 2) {
// x = (int) Integer.parseInt(TempData[0]);
// y = (int) Integer.parseInt(TempData[1]);
x++;
y++;
//}
log.fatal("RNGDiffTest:main:Changing to Tuple: x=" + x + " y=" + y);
timeRetry--;
continue;
}
}
if(timeRetry==0) {
MgtMaxExponent+=2;
NumEqnChanged++;
yExprn = FormEquation(y, (long) 41.0, (long) 5.0, (long) PrimeY, TechDiffWithRespTo, MgtMaxExponent);
xExprn = FormEquation(x, (long) 41.0, (long) 5.0, (long) PrimeX, TechDiffWithRespTo, MgtMaxExponent);
timeRetry=5;
log.fatal("RNGDiffTest:main:Changed Equation:xExprn="+xExprn);
log.fatal("RNGDiffTest:main:Changed Equation:yExprn="+yExprn);
log.fatal("RNGDiffTest:main:Changed Equation: NumEqnChanged=" + NumEqnChanged);
}
}
log.fatal("RNGDiffTest:main:Finished !!! Total Pixel="+i);
}
public static boolean StoreTuple(long x, long y) {
if (TupleStore.contains(x + "@" + y)) {
return false;
} else {
TupleStore.add(x + "@" + y);
}
return true;
}
}