Thursday, February 19, 2015

Gaussian java in pgm



Gaussian.java

public class Gaussian
{
    public static double phi(double x)
   {
        return Math.exp(-x*x / 2) / Math.sqrt(2 * Math.PI);
    }
                public static double phi(double x, double mu, double sigma)
                 {
        return phi((x - mu) / sigma) / sigma;
    }
    public static double Phi(double z)
    {
        if (z < -8.0) return 0.0;
        if (z >  8.0) return 1.0;
        double sum = 0.0, term = z;
        for (int i = 3; sum + term != sum; i += 2)
      {
            sum  = sum + term;
            term = term * z * z / i;
        }
        return 0.5 + sum * phi(z);
    }

        public static double Phi(double z, double mu, double sigma)
       {
        return Phi((z - mu) / sigma);
       }
    public static double PhiInverse(double y)
    {
        return PhiInverse(y, .00000001, -8, 8);
    }

          private static double PhiInverse(double y, double delta, double lo, double hi)
                    {
        double mid = lo + (hi - lo) / 2;
        if (hi - lo < delta) return mid;
        if (Phi(mid) > y) return PhiInverse(y, delta, lo, mid);
        else             
        return PhiInverse(y, delta, mid, hi);
    }
  
     public static void main(String[] args)
     {
        double z     = Double.parseDouble(args[0]);
        double mu    = Double.parseDouble(args[1]);
        double sigma = Double.parseDouble(args[2]);
        StdOut.println(Phi(z, mu, sigma));
        double y = Phi(z);
        StdOut.println(PhiInverse(y));
    }
            }

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