/*

        Arithmetic-Geometric Mean of 1 & 1/sqrt(2)

        Brendan Shaklovitz
        5/29/12

*/

public class ArithmeticMean {
        public static void agm (double a, double g){
                double a1 = a;
                double g1 = g;
                while (Math.abs(a1-g1) >= Math.pow(10, -14)){
                        double aTemp = (a1+g1)/2.0;
                        g1 = Math.sqrt(a1*g1);
                        a1 = aTemp;
                }
                System.out.println(a1);
        }

        public static void main(String[] args){
                agm(1,1/Math.sqrt(2));
        }
}