/**
   This program computes an estimate of pi by simulating dart throws onto a square.
*/
public class MonteCarlo
{
   public static void main(String[] args)
   {  
      final int TRIES = 10000;

      int hits = 0;
      for (int i = 1; i <= TRIES; i++)
      {  
         // Generate two random numbers between -1 and 1

         double r = Math.random();
         double x = -1 + 2 * r; 
         r = Math.random();
         double y = -1 + 2 * r;         

         // Check whether the point lies in the unit circle

         if (x * x + y * y <= 1) { hits++; }
      }

      /*
         The ratio hits / tries is approximately the same as the ratio 
         circle area / square area = pi / 4
      */        

      double piEstimate = 4.0 * hits / TRIES;
      System.out.println("Estimate for pi: " + piEstimate);
   }
}
