今天來寫k階科赫雪花的遞歸實現,(k值需要你手動輸入)至于科赫雪花是什么請大家自行百度。
首先來思考這個程序怎么寫,當 count = 0 時就應該是一個三角形,這三個點是你一開始就確定的,以后的改變都依據這三個點發展的。當不是0的時候就需要計算相對于這個三角形的9個點,分別是每條邊上的兩個點,和它對應的三角形第三個頂點。
首先在jframe中添加一個panel,我們需要在這個panel上畫圖。
大家再來看這個圖片,這張圖介紹了通過兩個點來計算其他三個點的過程。
現在開始在panel中畫圖:
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static class showpanel extends jpanel{ int number = 0 ; public void setnumber( int number) { this .number = number; repaint(); } public void paintcomponent(graphics g) { super .paintcomponent(g); //畫一個簡單的panel int side =( int )(math.min(( int )getwidth(),( int )getheight())* 0.8 ); int high =( int )(side*math.cos(math.toradians( 30 ))); point p1 = new point(getwidth() / 2 , 10 ); point p2 = new point(getwidth() / 2 - side / 2 , 10 + high); point p3 = new point(getwidth() / 2 + side / 2 , 10 + high); playkochsnowflake(g, number, p1, p2); playkochsnowflake(g, number, p2, p3); playkochsnowflake(g, number, p3, p1); } |
現在開始寫遞歸函數。
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public static void playkochsnowflake(graphics g, int number,point p1,point p2) { if (number == 0 ){ g.drawline(p1.x, p1.y,p2.x, p2.y); } else { int deltax = p2.x - p1.x; int deltay = p2.y - p1.y; point x = new point(p1.x + deltax / 3 , p1.y + deltay / 3 ); point y = new point(p1.x + deltax * 2 / 3 , p1.y + deltay * 2 / 3 ); point z = new point( ( int )((p1.x + p2.x) / 2 + math.sin(math.toradians( 60 )) * (p1.y - p2.y) / 3 ), ( int )((p1.y + p2.y) / 2 + math.sin(math.toradians( 60 )) * (p2.x - p1.x) / 3 )); playkochsnowflake(g, number - 1 , p1, x); playkochsnowflake(g, number - 1 , x, z); playkochsnowflake(g, number - 1 , z, y); playkochsnowflake(g, number - 1 , y, p2); } } |
然后在主面板中加入一個jtextfield jta 它輸入的數據要傳入到number中。所以為其添加一個監聽器。 已有數據輸入就調用其中的setnumber()函數設置number變量。
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jta.addactionlistener( new actionlistener() { public void actionperformed(actionevent arg0) { spl.setnumber(integer.parseint(jta.gettext())); } }); |
所以總體已經完成了,剩下的就是簡答的窗體設置。
下面貼一個完整的java代碼:
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import java.awt.borderlayout; import java.awt.flowlayout; import java.awt.graphics; import java.awt.point; import java.awt.event.actionevent; import java.awt.event.actionlistener; import javax.swing.jframe; import javax.swing.jlabel; import javax.swing.jpanel; import javax.swing.jtextfield; public class snowflake extends jframe { private jtextfield jta = new jtextfield( 5 ); private showpanel spl = new showpanel(); static class showpanel extends jpanel{ int number = 0 ; public void setnumber( int number) { this .number = number; repaint(); } public void paintcomponent(graphics g) { super .paintcomponent(g); //畫一個簡單的panel int side =( int )(math.min(( int )getwidth(),( int )getheight())* 0.8 ); int high =( int )(side*math.cos(math.toradians( 30 ))); point p1 = new point(getwidth() / 2 , 10 ); point p2 = new point(getwidth() / 2 - side / 2 , 10 + high); point p3 = new point(getwidth() / 2 + side / 2 , 10 + high); playkochsnowflake(g, number, p1, p2); playkochsnowflake(g, number, p2, p3); playkochsnowflake(g, number, p3, p1); } public static void playkochsnowflake(graphics g, int number,point p1,point p2) { if (number == 0 ){ g.drawline(p1.x, p1.y,p2.x, p2.y); } else { int deltax = p2.x - p1.x; int deltay = p2.y - p1.y; point x = new point(p1.x + deltax / 3 , p1.y + deltay / 3 ); point y = new point(p1.x + deltax * 2 / 3 , p1.y + deltay * 2 / 3 ); point z = new point( ( int )((p1.x + p2.x) / 2 + math.sin(math.toradians( 60 )) * (p1.y - p2.y) / 3 ), ( int )((p1.y + p2.y) / 2 + math.sin(math.toradians( 60 )) * (p2.x - p1.x) / 3 )); playkochsnowflake(g, number - 1 , p1, x); playkochsnowflake(g, number - 1 , x, z); playkochsnowflake(g, number - 1 , z, y); playkochsnowflake(g, number - 1 , y, p2); } } } public snowflake() { jpanel panel = new jpanel(); panel.setlayout( new flowlayout()); panel.add( new jlabel( "please input the number" )); panel.add(jta); add(spl,borderlayout.center); add(panel,borderlayout.south); jta.addactionlistener( new actionlistener() { public void actionperformed(actionevent arg0) { spl.setnumber(integer.parseint(jta.gettext())); } }); } public static void main(string args[]) { snowflake snowflake = new snowflake(); snowflake.setsize( 300 , 300 ); snowflake.settitle( "snowflake" ); snowflake.setlocationrelativeto( null ); snowflake.setvisible( true ); } } |
效果圖:
以上就是本文的全部內容,希望對大家的學習有所幫助,也希望大家多多支持服務器之家。
原文鏈接:https://blog.csdn.net/A948433271/article/details/49560071