47 lines
1.4 KiB
Java
47 lines
1.4 KiB
Java
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/*
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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.
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*/
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/**
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** Java Program to Implement Cubic convergence 1/pi Algorithm
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**/
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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 **/
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public double getOneByPi(int k)
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{
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double ak = 1.0/3.0;
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double sk = (Math.sqrt(3) - 1)/2;
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double ak1, sk1, rk1;
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for (int i = 0; i < k; i++)
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{
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rk1 = 3.0 / (1 + 2 * Math.pow((1 - sk * sk * sk), (1.0/3.0)));
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sk1 = (rk1 - 1)/2.0;
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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);
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System.out.println("Cubic Convergence 1/Pi Algorithm Test\n");
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/** Make an object of CubicConvergence class **/
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CubicConvergencePi cc = new CubicConvergencePi ();
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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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}
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}
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/*
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Enter number of iterations
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3
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Value of 1/pi : 0.3183098861837896
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