Re: [Report] Adjusted Legitimate Go Game Space

[Mousheng Xu <xu@xxxxxxxxxx>]

At 05:03 PM 4/30/99 -0700, Mousheng Xu wrote:
>Dear All,
>zillion (10^9) universes. Hey, go for it. :)

	Sorry, "zillion" should be "billion".
	As an apology, the jave source code is attached below.
______________________________________________________________
import java.math.*;
import java.io.*;
import java.util.*;

public class GoSpace {
    GoSpace() {
    }
    
    //t: number of stones on board
    public static double illegitimatePercentage(int t, int boardSize) {
        	//hill = log(p/(1-p))
        	double hill = 4.4 * t / boardSize + 0.0075 * t - 3.2;
        	double power = Math.pow(10, hill);
        	double result = power/(1 + power);
  //      	System.out.println("illegitimate%: t = " + t + " result = " +
result);
        	return result;
    }
    
    //x: num of stones on board
    public static double numOfConfigs(int x, int boardSize) {
        double result = Calc.composition(boardSize, x) * Math.pow(2, x);
 //       System.out.println("numOfConfigs: x = " + x + " result = " +
result);
        return result;
    }

    //x: num of stones on board
    public static double legitimateConfigs(int x, int boardSize) {
        double result = GoSpace.numOfConfigs(x, boardSize) * 
                (1 - GoSpace.illegitimatePercentage(x, boardSize));
   //     System.out.println("legitimateConfigs: x = " + x + " result = " +
result);
        return result;
    }
    
    public static void main(String args[]) {
        for(int size = 2; size <= 19; size++) {
            double sum = 0;
            for(int i = 0; i <= size * size; i++) {
                sum += GoSpace.legitimateConfigs(i, size*size);
            }
        
            double originalSum = Math.pow(3, size * size);
            System.out.println(size + "\t" + sum + "\t" +
                   originalSum + "\t" + sum/originalSum);
        }
    }
}
________________________________________

Mousheng Xu

Associate Computational Scientist
Chiroscience R & D
1725 220th SE
Bothell, WA 98021
Phone:	(425)489-8034
Fax: 	(425)415-8250