This is a Java Program to Implement Borwein Algorithm. Borwein’s algorithm is an algorithm devised by Jonathan and Peter Borwein to calculate the value of 1/π.

Here is the source code of the Java Program to Implement Borwein Algorithm. The Java program is successfully compiled and run on a Windows system. The program output is also shown below.

`/**`

`** Java Program to Implement Borwein Algorithm`

`**/`

import java.util.Scanner;

`/** Class Borwein **/`

public class Borwein

`{`

`/** compute 1/pi **/`

public double getOneByPi(int k)

`{`

double ak = 6.0 - 4 * Math.sqrt(2);

double yk = Math.sqrt(2) - 1.0;

double ak1 ;

double yk1 ;

for (int i = 0; i < k; i++)

`{`

yk1 = (1 - Math.pow((1 - yk * yk * yk * yk),(0.25)))/(1 + Math.pow((1 - yk * yk * yk * yk),(0.25)));

ak1 = ak * Math.pow((1 + yk1), 4) - Math.pow(2, 2 * i + 3) * yk1 * (1 + yk1 + yk1 * yk1);

yk = yk1;

ak = ak1;

`}`

return ak;

`}`

`/** Main function **/`

public static void main (String[] args)

`{`

Scanner scan = new Scanner(System.in);

System.out.println("Borwein 1/Pi Algorithm Test\n");

`/** Make an object of Borwein class **/`

Borwein b = new Borwein();

System.out.println("Enter number of iterations ");

int k = scan.nextInt();

System.out.println("\nValue of 1/pi : "+ b.getOneByPi(k));

`}`

`}`

Borwein 1/Pi Algorithm Test Enter number of iterations 5 Value of 1/pi : 0.31830988618379075

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