Java Program to Implement Cubic Convergence 1/pi Algorithm

This is a Java Program to Implement Cubic convergence 1/pi Algorithm. Cubic convergence is an algorithm used to calculate the value of 1/p.

Here is the source code of the Java Program to Implement Cubic convergence 1/pi Algorithm. The Java program is successfully compiled and run on a Windows system. The program output is also shown below.

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/**
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 ** Java Program to Implement Cubic convergence 1/pi Algorithm

```
 **/
```
```
import java.util.Scanner;
```
```
 
```
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/** Class CubicConvergencePi **/
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```
public class CubicConvergencePi
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```
{
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```
    /** compute 1/pi **/
```
```
    public double getOneByPi(int k)
```
```
    {
```
```
        double ak = 1.0/3.0;
```

        double sk = (Math.sqrt(3) - 1)/2;

```
        double ak1, sk1, rk1;
```
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        for (int i = 0; i < k; i++)
```
```
        {
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            rk1 = 3.0 / (1 + 2 * Math.pow((1 - sk * sk * sk), (1.0/3.0)));

```
            sk1 = (rk1 - 1)/2.0;
```

            ak1 = rk1 * rk1 * ak - Math.pow(3, i) * (rk1 * rk1 - 1);

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            ak = ak1;
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            sk = sk1;
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        }
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        return ak;        
```
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    }
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    /** Main function **/
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    public static void main (String[] args)

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    {
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        Scanner scan = new Scanner(System.in);

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

        /** Make an object of CubicConvergence class **/

        CubicConvergencePi  cc = new CubicConvergencePi ();

```
 
```

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

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        int k = scan.nextInt();
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```

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

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    }
```
```
}
```

Cubic Convergence 1/Pi Algorithm Test
 
Enter number of iterations
3
 
Value of 1/pi : 0.3183098861837896

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