递归级别和循环计数

时间:2014-02-17 18:41:53

标签: java loops recursion counting

我有一份我准备上交的作业,在作业中我不得不使用递归来绘制10层深的嵌套圆圈,在敲了几下我的脑袋后我终于完成了它。我唯一的问题是,我正在绘制10级或实际11级的图像吗?

这个问题来自这样一个事实:我已经明确说明递归到了10级时结束,但我确实告诉方法绘制原始圆然后它自己调用。这让我认为它绘制了第一级然后降低了10级,总共达到11级。它创建的图像到目前为止我无法计算圆圈:/

任何澄清将不胜感激,谢谢!

    // import statements
    import java.awt.*;
    import javax.swing.*;

    public class RecursiveCircles 
    {

public static void main(String[] args) 
{
    // create a new canvas
    RCanvas myCanvas = new RCanvas();

    // create JFrame
    JFrame myJframe = new JFrame();
    myJframe.setTitle("Recursive Circles");

    // set JFrame size, location and close operation
    myJframe.setSize(1500, 500);
    myJframe.setLocation(100, 100);
    myJframe.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);

    // and canvas to JFrame and make it visble
    myJframe.getContentPane().add(myCanvas);
    myJframe.setVisible(true);

     } // end main          
   } // end class RecursiveCircles

    /*
     * this class will draw the main circle of the image and will have the recursive
     * method that draws the two outer circles down 10 levels
     */

    class RCanvas extends Canvas 
    {
   // defualt constructor 
   public RCanvas ()
   {}

   public void paint (Graphics graphics)
   { 
       // declare variables
       String title = "Recursive Circles";

       int n = 300; // diamerter of the circle
       int xOrigin = 600; // x location of start of circle (makes circle around the origin I wanted
       int yOrigin = 100; // y location of start of circle (makes circle around the origin i wanted
       int radius = n/2; // radius of circle (half the diamerter

       int level = 10;

       // make canvas background color black
       graphics.setColor(Color.black); // make the background color black
       graphics.fillRect(0, 0, 1500, 500); // rectangle that fills the JFrame

       // put title on canvas
       graphics.setColor(Color.BLUE);
       graphics.drawString(title, 725, 50);

       // draw main circle
       graphics.setColor(Color.WHITE);
       graphics.drawOval(xOrigin, yOrigin, n, n);   

      drawRCircles(graphics,xOrigin,yOrigin,radius,level); // call recrusrive method
       System.out.println(level);

   } // end paint

   /*
    * This is the recursive method that will draw the two circles on the outer sides of the
    * main circle. it will then call itself and repate the process till it is 10 levels deep
    */
   public void drawRCircles(Graphics graphics,int xOrigin,int yOrigin, int radius, int level)
   {

   int newRadius = (radius/2); // radius of smaller circle
   int newXOrigin = xOrigin - (newRadius); // xOrigin of circle on left of the main circle
   int newYOrigin = yOrigin + (newRadius); // yOrigin of circle on the right of the main circle
   int newXOrigin2 = xOrigin + (newRadius*3); // xOrigin of circle on the right of the main circle
   int newYOrigin2 = yOrigin + (newRadius); // yOrigin of circle on the right of the main circle
       if (level > 0) // counts down from 10 to make the recursive image 10 levels deep
       { 
           graphics.drawOval(newXOrigin, newYOrigin, newRadius*2, newRadius*2); // draw recursive circle on the left of main circle
           graphics.drawOval(newXOrigin2, newYOrigin2, newRadius*2, newRadius*2); // draw recursive circle on the right of main circle
           drawRCircles(graphics, newXOrigin, newYOrigin , newRadius, (level-1)); // make recursion of left circle
           drawRCircles(graphics, newXOrigin2, newYOrigin2,newRadius,(level-1)); // make recursion of right circle

       }// end if
   } // end drawRCircles
  }// end class

1 个答案:

答案 0 :(得分:0)

您的代码正在绘制11个圈子,但您对drawRCircles本身的呼叫仅对其中的10个圈子负责。

更具体地说,这些线条绘制了1个圆圈。

    // draw main circle
    graphics.setColor(Color.WHITE);
    graphics.drawOval(xOrigin, yOrigin, n, n);  

无论您是否具有drawRCircles功能,都会绘制此圆圈。 (尝试删除它并运行代码以查看会发生什么。)

然后,你的代码调用 drawRCircles函数11次,但是自上次调用它以来只有绘制 10个圆圈,其中level = 0失败了测试if(level > 0)

  

它创建的图像到目前为止我无法计算圆圈:/

快速提示:由于您想知道,如果给定最高级别N,是否会绘制NN+1级别的圈子,您也可以尝试更改{ {1}}变量更易于管理(如2)并可视化检查。

回到上面的代码,忽略level部分(因为它与你的递归圆绘图无关),你有

draw main circle

并在 drawRCircles(graphics,xOrigin,yOrigin,radius,level); // call recursive method System.out.println(level); 函数中

public void drawRCircles(…)

让我们用level = 2而不是10来检查它:

    drawRCircles(…,level-1);

级别数= 2 =绘制的递归圆的数量。