• 分形和数据结构之迭代实现分形


    迭代实现分形之一:

    package 文雅0605;

    import java.awt.Color;

    import java.awt.FlowLayout;

    import java.awt.Graphics;

    import java.awt.Graphics2D;

    import javax.swing.JFrame;

    public class ring extends JFrame{

           public static void main(String[] args) {

                  ring fl=new ring();

                    fl.initUI();

                  }

                  public void initUI(){

                         getContentPane().setBackground(Color.white);

                         setTitle("ring");

                         setSize(600,500);

                         setDefaultCloseOperation(3);

                         setLocationRelativeTo(null);

                         setLayout(new FlowLayout());

                         setVisible(true);

                         Graphics g = getGraphics();//注意这里一定要在窗体可见之后才能调用

                         ((Graphics2D) g).setColor(Color.BLACK);

                       ringListener fl = new ringListener();

                         addMouseListener(fl);

                         fl.setGraphics(g);

                  }

    }

    package 文雅0605;

    import java.awt.Color;

    import java.awt.Graphics;

    import java.awt.Graphics2D;

    import java.awt.event.MouseEvent;

    import java.awt.event.MouseListener;

           public class ringListener implements MouseListener {

                  double x= 0, y = 0;

                 

                  private Graphics g;

                  public Color color;

                  public int i;

                  public double x1, y1;

                  public void setGraphics(Graphics gra) {

                         g = (Graphics2D) gra;

                  }

                  public void mouseClicked(MouseEvent e) {

                         if(e.getClickCount()==2){//双击

                         double a = 1.40, b = 1.56, c = 1.40, d =-6.56;

                         for (int i = 0; i < 100000; i++) {

                               

                                x1= d* Math.sin(a * x) - Math.sin(b * y);

                                y1= c* Math.cos(a * x) + Math.cos(b* y);

                          //int m = (int)(x1*10+200);

                                //int n = (int)(y1*10+200);

                         int m = (int) (x1* 20+300);

                         int n = (int) (y1* 20+300);//固定了图形的位置

                         //g.setColor(new Color(100, i %50 , i % 50));或者直接在窗体上((Graphics2D) g).setColor(Color.BLACK);设置颜色

                          g.drawLine(m,n,m,n);

                           //g.drawLine((int)x1*50+500,(int)y1*20+500,(int)x1*50+500,(int)y1*20+500);这种写法是错误的,图形的要求是要先算出结果再强制转型

          

                            x=x1;

                            y=y1;//迭代思维

                         }

                         x=0;

                         y=0;//能够控制绘制图形的新一轮的循环

                  }

                  else{

                         double a=-2,b=-2,c=-1.2,d=2;

                         for (int i = 0; i < 100000; i++) {

                         x1= (Math.sin(a * y) - Math.cos(b * x));

                         y1= (Math.sin(c * x) - Math.cos(d* y));

                   int m = (int) (x1* 50 +500);//乘数控制图形大小,加法控制图形的位置,但是范围要控制在第一象限,否则无法看到图形

                    int n = (int) (y1 *50 +500);

                   g.drawLine(m,n,m,n);   

                     x=x1;

                     y=y1;

                  }

                         x=0;

                         y=0;

                        

                  }

                  }

                 

                  public void mousePressed(MouseEvent e) {

                  }

                  public void mouseReleased(MouseEvent e) {

                  }

                  public void mouseEntered(MouseEvent e) {

                  }

                  public void mouseExited(MouseEvent e) {

                  }

                  public static void main(String[] args) {

                  }

           }

    输出结果:

     :

    迭代实现分形之二:

    package 文雅0612;

    import java.awt.Color;

    import java.awt.FlowLayout;

    import java.awt.Graphics;

    import java.awt.Graphics2D;

    import javax.swing.JFrame;

    public class net extends JFrame {

           public static void main(String[] args) {

                  net fl = new net();

                  fl.initUI();

           }

           public void initUI() {

                  getContentPane().setBackground(Color.black);

                  setTitle("net");

                  setSize(600, 500);

                  setDefaultCloseOperation(3);

                  setLocationRelativeTo(null);

                  setLayout(new FlowLayout());

                  setVisible(true);

                  Graphics g = getGraphics();

                  ((Graphics2D) g).setColor(Color.BLUE);

                  netListener fl = new netListener();

                  addMouseListener(fl);

                  fl.setGraphics(g);

           }

    }

    package 文雅0612;

    import java.awt.Color;

    import java.awt.Graphics;

    import java.awt.Graphics2D;

    import java.awt.event.MouseEvent;

    import java.awt.event.MouseListener;

    public class netListener implements MouseListener {

           double x = 0, y = 0;

           private Graphics g;

           public int i;

           public double x1, y1;

           public void setGraphics(Graphics gra) {

                  g = (Graphics2D) gra;

           }

           public void mouseClicked(MouseEvent e) {

                  if (e.getClickCount() == 2) {// 双击

                         for (int i = 0; i < 25000; i++) {

                                double a = 0.4, b = 1, c = 0;

                                // x1 = y - Math.signum(x) * Math.pow(Math.abs(b * x - c), 0.5);//到java目录中去寻找Math的应用,记得要在调用方法前面加上Math

                                x1 = y - Math.signum(x) * Math.sqrt(Math.abs(b * x - c));这两种方法都可以

                                y1 = a - x;

                                int m = (int) (x1 * 150 + 550);

                                int n = (int) (y1 * 150 + 550);

                                // System.out.println(m+"   "+x); 追踪输出值,这是一个检验差错的好方法

                                g.drawLine(m, n, m, n);

                                x = x1;

                                y = y1;

                         }

                         x = 0;

                         y = 0;

                  } else {

                         for (int i = 0; i < 100000; i++) {

                                int  a = 1, b = 4, c = 60;

                                // x1 = y - Math.signum(x) * Math.pow(Math.abs(b * x - c), 0.5);

                                x1 = y - Math.signum(x) * Math.sqrt(Math.abs(b * x - c));

                                y1 = a - x;

                                int m = (int) (x1 * 1 + 300);// 乘数控制图形大小,加法控制图形的位置

                                int n = (int) (y1 * 1+ 300);//该图形的乘数不能太大,最好控制在0-5之间

                                g.drawLine(m, n, m, n);

                                x = x1;

                                y = y1;

                         }

                         x = 0;

                         y = 0;

                  }

           }

           public void mousePressed(MouseEvent e) {

           }

           public void mouseReleased(MouseEvent e) {

           }

           public void mouseEntered(MouseEvent e) {

           }

           public void mouseExited(MouseEvent e) {

           }

           public static void main(String[] args) {

           }

    }

    输出结果:

    感悟:刚开始的时候觉得很难,但是后来慢慢发现其实这种迭代分形应该是最容易的了。我们要注意的是把公式写对,用正确的方法去检验错误,问题基本上就迎刃而解了。通过这些分形的练习,我发现迭代分形的思路是这样的:首先,写完之后图形出不来一般是自己公式写错了,这个时候用System.out.println()去追踪代码输出的结果,从而找到自己出错的地方;接下来,如果图像不是自己想要的结果,则要注意你自己给图形扩大的程度了,也许是自己把图形放的太大了,也许是自己缩小了范围。

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  • 原文地址:https://www.cnblogs.com/java-7/p/5578751.html
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