Created
June 2, 2012 15:05
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Babylonian Algorithm for Square Roots in Java no comments and JOptionPane
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import javax.swing.JOptionPane; | |
import java.io.*; | |
import static java.lang.Math.*; | |
public class BabylonianSqrt6 { | |
public static void main(String[] args) { | |
String S; | |
S = JOptionPane.showInputDialog(null, "Enter a Whole Integer"); | |
int SigFigs = 0; | |
for (int i = 0, len = S.length(); i < len; i++) { | |
if (Character.isDigit(S.charAt(i))) { | |
SigFigs++; | |
} | |
} | |
if (SigFigs % 2 == 0) | |
{ | |
double V = log(SigFigs)/log(2); | |
double G = Math.round(V); | |
double R = Integer.parseInt(S); | |
double x0 = 6*(Math.pow(10,G)); | |
double x1 = (0.5)*((x0)+(R/x0)); | |
double x2 = (0.5)*((x1)+(R/x1)); | |
double x3 = (0.5)*((x2)+(R/x2)); | |
double x4 = (0.5)*((x3)+(R/x3)); | |
double x5 = (0.5)*((x4)+(R/x4)); | |
double x6 = (0.5)*((x5)+(R/x5)); | |
double x7 = (0.5)*((x6)+(R/x6)); | |
double x8 = (0.5)*((x7)+(R/x7)); | |
double x9 = (0.5)*((x8)+(R/x8)); | |
double x10 = (0.5)*((x9)+(R/x9)); | |
String str = Double.toString(x10); | |
System.out.println("Square root of " + S + " by the Babylonian Guess/iteration method is approximately " +str); | |
} | |
else | |
{ | |
double V = log(SigFigs)/log(2); | |
double G = Math.round(V); | |
double R = Integer.parseInt(S); | |
double x0 = 2*(Math.pow(10,G)); | |
double x1 = (0.5)*((x0)+(R/x0)); | |
double x2 = (0.5)*((x1)+(R/x1)); | |
double x3 = (0.5)*((x2)+(R/x2)); | |
double x4 = (0.5)*((x3)+(R/x3)); | |
double x5 = (0.5)*((x4)+(R/x4)); | |
double x6 = (0.5)*((x5)+(R/x5)); | |
double x7 = (0.5)*((x6)+(R/x6)); | |
double x8 = (0.5)*((x7)+(R/x7)); | |
double x9 = (0.5)*((x8)+(R/x8)); | |
double x10 =(0.5)*((x9)+(R/x9)); | |
String str = Double.toString(x10); | |
System.out.println("Square root of " + S + " is approximately " +str); | |
} | |
double M = Integer.parseInt(S); | |
double B = sqrt(M); | |
System.out.println("Compare this to the java Sqrt() function result: " + B); | |
} | |
} |
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