Introduction to Java's method of calculating pi value using Math.random() combined with Monte Carlo method

This article mainly introduces how Java uses Math.random() combined with the Monte Carlo method to calculate the pi value. It briefly explains the principle of the Monte Carlo method combined with specific examples, and analyzes the use of Monte Carlo methods in Java based on specific examples. For the operation skills of Carlo method to calculate PI value, friends who need it can refer to

This article describes the example of Java using Math.random() combined with Monte Carlo method to calculate pi value. Share it with everyone for your reference, the details are as follows:

1. Overview

Monte Carlo method, also known as Statistical simulation method is a very important numerical calculation method guided by probability and statistics theory that was proposed in the mid-1940s due to the development of science and technology and the invention of electronic computers. Refers to a method of using random numbers (or more commonly pseudo-random numbers) to solve many computational problems. Corresponding to it is the deterministic algorithm.

For details, please refer to Baidu Encyclopedia: https://baike.baidu.com/item/%E8%92%99%E7%89%B9%C2%B7%E5%8D%A1%E7%BD %97%E6%96%B9%E6%B3%95

2. Implementation code

/**
 * Monte Carlo algorithm
 */
import java.math.*;
public class PI {
  /**
   * @param args
   */
  public static void main(String[] args) {
    // TODO Auto-generated method stub
    double xf = 0.0d;
    double yf = 0.0d;
    int total = 0;
    for(int i = 0;i<1000000;i++){
      xf = Math.random();
      yf = Math.random();
      if(Math.sqrt(xf*xf+yf*yf) < 1)
        total++;
    }
    System.out.println("脚本之家测试结果：");
    System.out.println(4*(total/1000000.0));
  }
}

operation result:

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