Java Swing 100人每人100元每次一人分1元给另一人问题 可视化

有一个很出名的数学问题:100个人一起玩一个游戏,每个人游戏一开始都拥有100块钱,每一轮游戏开始后,每一个人都给随机另一个人 1块钱,就这样当玩了100轮,1000轮,10000轮…后,试问最后的财富分布情况

Java Swing 100人每人100元每次一人分1元给另一人问题 可视化_第1张图片

你可能会根据感觉认为 你给别人一块别人给我一块 最后每个人的钱应该都差不多,财富分布应该是一种水平的状况,

然而并不是这样,最后的结果是严重的两级分化,富的富死,穷的穷死

通过Java模拟这个游戏,快速模拟上百万轮游戏,记录变化的值,并用Swing功能将其实现可视化

(以下为游戏刚开始,由100条蓝色矩形组成,每条矩形代表一个人,矩形长度代表拥有的钱数量,刚开始每人为100块)
Java Swing 100人每人100元每次一人分1元给另一人问题 可视化_第2张图片
(以下为动态变化过程)

(为了更好体现数据,即使钱为0了也要给另一个人1块钱,代表负债,红色为负债,蓝色为拥有的钱和债权)

(最终的财富分布图)
Java Swing 100人每人100元每次一人分1元给另一人问题 可视化_第3张图片

总体是呈红蓝两极分布,由于可以负债,导致产生大量债务而不是真正的钱,两边的矩形条都已经突破天际了,左边的人简直不用活了,讽刺至极。

以下是Java代码实现,仅供参考,采用MVC三个类实现


import javax.swing.*;
import java.awt.*;
import java.awt.geom.*;
import java.lang.InterruptedException;

//模型类M
public class AlgoVisHelper {
//用于存储用于调用的基本色
    private AlgoVisHelper(){}

    public static final Color Red = new Color(0xF44336);
    public static final Color Pink = new Color(0xE91E63);
    public static final Color Purple = new Color(0x9C27B0);
    public static final Color DeepPurple = new Color(0x673AB7);
    public static final Color Indigo = new Color(0x3F51B5);
    public static final Color Blue = new Color(0x2196F3);
    public static final Color LightBlue = new Color(0x03A9F4);
    public static final Color Cyan = new Color(0x00BCD4);
    public static final Color Teal = new Color(0x009688);
    public static final Color Green = new Color(0x4CAF50);
    public static final Color LightGreen = new Color(0x8BC34A);
    public static final Color Lime = new Color(0xCDDC39);
    public static final Color Yellow = new Color(0xFFEB3B);
    public static final Color Amber = new Color(0xFFC107);
    public static final Color Orange = new Color(0xFF9800);
    public static final Color DeepOrange = new Color(0xFF5722);
    public static final Color Brown = new Color(0x795548);
    public static final Color Grey = new Color(0x9E9E9E);
    public static final Color BlueGrey = new Color(0x607D8B);
    public static final Color Black = new Color(0x000000);
    public static final Color White = new Color(0xFFFFFF);

//设置绘制圆的方法
    public static void strokeCircle(Graphics2D g, int x, int y, int r){

        Ellipse2D circle = new Ellipse2D.Double(x-r, y-r, 2*r, 2*r);
        g.draw(circle);
    }
//设置填充圆的方法
    public static void fillCircle(Graphics2D g, int x, int y, int r){

        Ellipse2D circle = new Ellipse2D.Double(x-r, y-r, 2*r, 2*r);
        g.fill(circle);
    }
//设置绘制矩形的方法
    public static void strokeRectangle(Graphics2D g, int x, int y, int w, int h){

        Rectangle2D rectangle = new Rectangle2D.Double(x, y, w, h);
        g.draw(rectangle);
    }
//设置填充矩形的方法
    public static void fillRectangle(Graphics2D g, int x, int y, int w, int h){

        Rectangle2D rectangle = new Rectangle2D.Double(x, y, w, h);
        g.fill(rectangle);
    }
//设置填充颜色的方法
    public static void setColor(Graphics2D g, Color color){
        g.setColor(color);
    }
//设置线条宽度的方法
    public static void setStrokeWidth(Graphics2D g, int w){
        int strokeWidth = w;
        g.setStroke(new BasicStroke(strokeWidth, BasicStroke.CAP_ROUND, BasicStroke.JOIN_ROUND));
    }
//设置渲染暂停方法
    public static void pause(int t) {
        try {
            Thread.sleep(t);
        }
        catch (InterruptedException e) {
            System.out.println("Error sleeping");
        }
    }
}


import java.awt.Graphics2D;

import java.awt.Graphics;
import java.awt.Dimension;
import java.awt.Color;
import java.awt.RenderingHints;
import java.util.ArrayList;
import java.util.Map;
import java.util.Random;
import java.util.HashMap;

import javax.swing.*;
//视图类V
public class AlgoFrame extends JFrame{

    private int canvasWidth;
    private int canvasHeight;

    public AlgoFrame(String title, int canvasWidth, int canvasHeight){

        super(title);

        this.canvasWidth = canvasWidth;
        this.canvasHeight = canvasHeight;

        AlgoCanvas canvas = new AlgoCanvas();
        setContentPane(canvas);
        pack();//设置画布大小随窗口大小改变

        setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
        setResizable(false);

        setVisible(true);
    }

    public AlgoFrame(String title){

        this(title, 1024, 768);
    }

    public int getCanvasWidth(){return canvasWidth;}
    public int getCanvasHeight(){return canvasHeight;}

    // data
    private int[] money;
    //设置渲染方法
    public void render(int[] money){
        this.money = money;
        repaint();//重新执行下面的paintComponent方法
    }
//设置画布类继承JPanel用于绘图
    private class AlgoCanvas extends JPanel{

        public AlgoCanvas(){
       
            super(true);
        }

        @Override
        public void paintComponent(Graphics g) {
            super.paintComponent(g);
            
            //将图形强制转化为2D
            Graphics2D g2d = (Graphics2D)g;
            
            //打开抗锯齿
            RenderingHints hints = new RenderingHints(
                    RenderingHints.KEY_ANTIALIASING,
                    RenderingHints.VALUE_ANTIALIAS_ON);
            hints.put(RenderingHints.KEY_RENDERING, RenderingHints.VALUE_RENDER_QUALITY);
            g2d.addRenderingHints(hints);
            
            //定义每条矩形的宽度
            int w = canvasWidth / money.length;
            
            //具体绘制内容
            for(int i = 0 ; i < money.length ; i ++)
                if(money[i] > 0) {
                	//当拥有的钱大于0显示为蓝色
                    AlgoVisHelper.setColor(g2d,AlgoVisHelper.Blue);
                    AlgoVisHelper.fillRectangle(g2d,
                            i * w + 1, canvasHeight /2 - money[i], w - 1, money[i]);
                }
               else{
            	   //当拥有的钱小于0时显示为红色
                    AlgoVisHelper.setColor(g2d, AlgoVisHelper.Red);
                    AlgoVisHelper.fillRectangle(g2d,
                            i * w + 1, canvasHeight / 2, w - 1, -money[i]);
                }
        }

        @Override
        public Dimension getPreferredSize(){
            return new Dimension(canvasWidth, canvasHeight);
        }
    }
   
}


import java.awt.*;
import java.awt.event.*;
import javax.swing.*;
import java.util.Arrays;
//控制类C
public class AlgoVisualizer {

    private static int DELAY = 1000;//设置渲染暂停时间
    private int[] money;//定义money数组
    private AlgoFrame frame;//声明绘图类

    public AlgoVisualizer(int sceneWidth, int sceneHeight){

        //设置游戏人数为100人
        money = new int[100];
        //给每一个人一百块作为初始值
        for(int i = 0 ; i < money.length ; i ++)
            money[i] = 100;

        EventQueue.invokeLater(() -> {
            frame = new AlgoFrame("Money Problem", sceneWidth, sceneHeight);
            new Thread(() -> {
                run();
            }).start();
        });
    }
//编写动画逻辑
    public void run(){

        while(true){

            Arrays.sort(money);
            //对money数组进行渲染
            frame.render(money);
            //设置渲染时等待时间
            AlgoVisHelper.pause(DELAY);

            //每一个人将自己的1块钱随机给另一个人
            for(int k = 0 ; k < 50 ; k ++){
                for(int i = 0 ; i < money.length; i ++){
                   
                   // if(money[i] > 0){
                        int j = (int)(Math.random() * money.length);
                        money[i] -= 1;
                        money[j] += 1;
                   // }
                }
            }
        }
    }

    public static void main(String[] args) {
    	//设置窗口宽高
        int sceneWidth = 1000;
        int sceneHeight = 650;
        //实例化控制类对象
        AlgoVisualizer vis = new AlgoVisualizer(sceneWidth, sceneHeight);
    }
}

以上为全部代码

好好学习,努力工作,争取成为 社会的两级分化中 站右边的人

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