form1.cs

这是《C#图形程序设计》这本书的源代码

using System;
using System.Drawing;
using System.Collections;
using System.ComponentModel;
using System.Windows.Forms;
using System.Data;

namespace 工程曲线
{
	/// <summary>
	/// Form1 的摘要说明。
	/// </summary>
	public class Form1 : System.Windows.Forms.Form
	{
		private System.Windows.Forms.MainMenu mainMenu1;
		private System.Windows.Forms.MenuItem menuItem1;
		private System.Windows.Forms.MenuItem menuItem2;
		private System.Windows.Forms.MenuItem menuItem3;
		private System.Windows.Forms.PictureBox pictureBox1;
		public Point p=new Point();
		public Point p1=new Point();
		public Point p2=new Point();
		public Point p3=new Point();
		public Point p4=new Point();
		public Point p5=new Point();
		int num=0;
		private System.Windows.Forms.MenuItem menuItem4;
		private System.Windows.Forms.MenuItem menuItem5;
		private System.Windows.Forms.MenuItem menuItem7;
		private System.Windows.Forms.MenuItem menuItem8;
		private System.Windows.Forms.MenuItem menuItem9;
		private System.Windows.Forms.MenuItem menuItem10;
		private System.Windows.Forms.MenuItem menuItem11;
		private System.Windows.Forms.MenuItem menuItem12;
		private System.Windows.Forms.MenuItem menuItem14;
		private System.Windows.Forms.MenuItem menuItem15;
		private System.Windows.Forms.MenuItem menuItem16;
		private System.Windows.Forms.Label label1;
		private System.Windows.Forms.Label label2;
		private System.Windows.Forms.Label label3;
		/// <summary>
		/// 必需的设计器变量。
		/// </summary>
		private System.ComponentModel.Container components = null;

		public Form1()
		{
			//
			// Windows 窗体设计器支持所必需的
			//
			InitializeComponent();

			//
			// TODO: 在 InitializeComponent 调用后添加任何构造函数代码
			//
		}

		/// <summary>
		/// 清理所有正在使用的资源。
		/// </summary>
		protected override void Dispose( bool disposing )
		{
			if( disposing )
			{
				if (components != null) 
				{
					components.Dispose();
				}
			}
			base.Dispose( disposing );
		}

		#region Windows 窗体设计器生成的代码
		/// <summary>
		/// 设计器支持所需的方法 - 不要使用代码编辑器修改
		/// 此方法的内容。
		/// </summary>
		private void InitializeComponent()
		{
			this.mainMenu1 = new System.Windows.Forms.MainMenu();
			this.menuItem1 = new System.Windows.Forms.MenuItem();
			this.menuItem2 = new System.Windows.Forms.MenuItem();
			this.menuItem3 = new System.Windows.Forms.MenuItem();
			this.menuItem4 = new System.Windows.Forms.MenuItem();
			this.menuItem5 = new System.Windows.Forms.MenuItem();
			this.menuItem7 = new System.Windows.Forms.MenuItem();
			this.menuItem8 = new System.Windows.Forms.MenuItem();
			this.menuItem9 = new System.Windows.Forms.MenuItem();
			this.menuItem10 = new System.Windows.Forms.MenuItem();
			this.menuItem11 = new System.Windows.Forms.MenuItem();
			this.menuItem12 = new System.Windows.Forms.MenuItem();
			this.menuItem14 = new System.Windows.Forms.MenuItem();
			this.menuItem15 = new System.Windows.Forms.MenuItem();
			this.menuItem16 = new System.Windows.Forms.MenuItem();
			this.pictureBox1 = new System.Windows.Forms.PictureBox();
			this.label1 = new System.Windows.Forms.Label();
			this.label2 = new System.Windows.Forms.Label();
			this.label3 = new System.Windows.Forms.Label();
			this.SuspendLayout();
			// 
			// mainMenu1
			// 
			this.mainMenu1.MenuItems.AddRange(new System.Windows.Forms.MenuItem[] {
																					  this.menuItem1,
																					  this.menuItem4,
																					  this.menuItem7,
																					  this.menuItem14});
			// 
			// menuItem1
			// 
			this.menuItem1.Index = 0;
			this.menuItem1.MenuItems.AddRange(new System.Windows.Forms.MenuItem[] {
																					  this.menuItem2,
																					  this.menuItem3});
			this.menuItem1.Text = "圆弧曲线";
			// 
			// menuItem2
			// 
			this.menuItem2.Index = 0;
			this.menuItem2.Text = "圆弧";
			this.menuItem2.Click += new System.EventHandler(this.menuItem2_Click);
			// 
			// menuItem3
			// 
			this.menuItem3.Index = 1;
			this.menuItem3.Text = "三点画弧";
			this.menuItem3.Click += new System.EventHandler(this.menuItem3_Click);
			// 
			// menuItem4
			// 
			this.menuItem4.Index = 1;
			this.menuItem4.MenuItems.AddRange(new System.Windows.Forms.MenuItem[] {
																					  this.menuItem5});
			this.menuItem4.Text = "三次参数样条插值曲线";
			// 
			// menuItem5
			// 
			this.menuItem5.Index = 0;
			this.menuItem5.Text = "三次参数样条插值曲线程序";
			this.menuItem5.Click += new System.EventHandler(this.menuItem5_Click);
			// 
			// menuItem7
			// 
			this.menuItem7.Index = 2;
			this.menuItem7.MenuItems.AddRange(new System.Windows.Forms.MenuItem[] {
																					  this.menuItem8,
																					  this.menuItem9,
																					  this.menuItem10,
																					  this.menuItem11,
																					  this.menuItem12});
			this.menuItem7.Text = "贝济埃曲线";
			// 
			// menuItem8
			// 
			this.menuItem8.Index = 0;
			this.menuItem8.Text = "一次贝济埃曲线";
			this.menuItem8.Click += new System.EventHandler(this.menuItem8_Click);
			// 
			// menuItem9
			// 
			this.menuItem9.Index = 1;
			this.menuItem9.Text = "二次贝济埃曲线";
			this.menuItem9.Click += new System.EventHandler(this.menuItem9_Click);
			// 
			// menuItem10
			// 
			this.menuItem10.Index = 2;
			this.menuItem10.Text = "三次贝济埃曲线";
			this.menuItem10.Click += new System.EventHandler(this.menuItem10_Click);
			// 
			// menuItem11
			// 
			this.menuItem11.Index = 3;
			this.menuItem11.Text = "二次贝济埃曲线一般程序";
			this.menuItem11.Click += new System.EventHandler(this.menuItem11_Click);
			// 
			// menuItem12
			// 
			this.menuItem12.Index = 4;
			this.menuItem12.Text = "三次贝济埃曲线一般程序";
			this.menuItem12.Click += new System.EventHandler(this.menuItem12_Click);
			// 
			// menuItem14
			// 
			this.menuItem14.Index = 3;
			this.menuItem14.MenuItems.AddRange(new System.Windows.Forms.MenuItem[] {
																					   this.menuItem15,
																					   this.menuItem16});
			this.menuItem14.Text = "B样条曲线";
			// 
			// menuItem15
			// 
			this.menuItem15.Index = 0;
			this.menuItem15.Text = "二次B样条曲线";
			this.menuItem15.Click += new System.EventHandler(this.menuItem15_Click);
			// 
			// menuItem16
			// 
			this.menuItem16.Index = 1;
			this.menuItem16.Text = "三次B样条曲线";
			this.menuItem16.Click += new System.EventHandler(this.menuItem16_Click);
			// 
			// pictureBox1
			// 
			this.pictureBox1.Anchor = ((System.Windows.Forms.AnchorStyles)((((System.Windows.Forms.AnchorStyles.Top | System.Windows.Forms.AnchorStyles.Bottom) 
				| System.Windows.Forms.AnchorStyles.Left) 
				| System.Windows.Forms.AnchorStyles.Right)));
			this.pictureBox1.BackColor = System.Drawing.SystemColors.ActiveCaptionText;
			this.pictureBox1.BorderStyle = System.Windows.Forms.BorderStyle.Fixed3D;
			this.pictureBox1.Location = new System.Drawing.Point(8, 8);
			this.pictureBox1.Name = "pictureBox1";
			this.pictureBox1.Size = new System.Drawing.Size(544, 384);
			this.pictureBox1.TabIndex = 0;
			this.pictureBox1.TabStop = false;
			this.pictureBox1.MouseDown += new System.Windows.Forms.MouseEventHandler(this.pictureBox1_MouseDown);
			// 
			// label1
			// 
			this.label1.Anchor = ((System.Windows.Forms.AnchorStyles)(((System.Windows.Forms.AnchorStyles.Bottom | System.Windows.Forms.AnchorStyles.Left) 
				| System.Windows.Forms.AnchorStyles.Right)));
			this.label1.Location = new System.Drawing.Point(240, 400);
			this.label1.Name = "label1";
			this.label1.Size = new System.Drawing.Size(136, 23);
			this.label1.TabIndex = 1;
			// 
			// label2
			// 
			this.label2.Anchor = ((System.Windows.Forms.AnchorStyles)(((System.Windows.Forms.AnchorStyles.Bottom | System.Windows.Forms.AnchorStyles.Left) 
				| System.Windows.Forms.AnchorStyles.Right)));
			this.label2.Location = new System.Drawing.Point(408, 400);
			this.label2.Name = "label2";
			this.label2.Size = new System.Drawing.Size(144, 23);
			this.label2.TabIndex = 2;
			// 
			// label3
			// 
			this.label3.Location = new System.Drawing.Point(24, 400);
			this.label3.Name = "label3";
			this.label3.Size = new System.Drawing.Size(160, 23);
			this.label3.TabIndex = 3;
			this.label3.Text = "可用鼠标画三次贝济埃曲线";
			// 
			// Form1
			// 
			this.AutoScaleBaseSize = new System.Drawing.Size(6, 14);
			this.ClientSize = new System.Drawing.Size(560, 429);
			this.Controls.Add(this.label3);
			this.Controls.Add(this.label2);
			this.Controls.Add(this.label1);
			this.Controls.Add(this.pictureBox1);
			this.Menu = this.mainMenu1;
			this.Name = "Form1";
			this.Text = "Form1";
			this.ResumeLayout(false);

		}
		#endregion

		/// <summary>
		/// 应用程序的主入口点。
		/// </summary>
		[STAThread]
		static void Main() 
		{
			Application.Run(new Form1());
		}

		private void menuItem2_Click(object sender, System.EventArgs e)
		{
			PointF p1=new Point();
			PointF p2=new Point();
			Graphics g=pictureBox1.CreateGraphics();
			Pen pen1=new Pen(Color.Blue);
			g.Clear(pictureBox1.BackColor);
			double pi=3.14159;
			int R=120;
			double t1,t2,t;
			t1=pi/4;
			t2=pi;
			double x,y;
			int x0=220;
			int y0=180;
			for(t=t1;t<t2;t=t+pi/100)
			{
				x=x0+R*Math.Cos(t);
				y=y0-R*Math.Sin(t);
				if(t==t1)
				{
					p1.X=(float)x;
					p1.Y=(float)y;
				}
				else
				{
					p2.X=(float)(x);
					p2.Y=(float)(y);
					g.DrawLine(pen1,p1,p2);
					p1=p2;
				}
			}
		}

		private void menuItem3_Click(object sender, System.EventArgs e)
		{
			Graphics g=pictureBox1.CreateGraphics();
			Pen pen1=new Pen(Color.Blue);
			g.Clear(pictureBox1.BackColor);
			int i,j;
			double[] xx=new double[3]{90.0,200.0,100.0};
			double[] yy=new double[3]{90.0,100.0,30.0};
			double[] aa=new double[3];
			double[] bb=new double[3];
			double[] cc=new double[3];
			double[] tt=new double[3];
			double d,x,y,pai,pai2,r,a,b,a1,b1,n1;
			double x1,y1,cs,ss,sx,t,p;

			p1.X=(int)xx[0];
			p1.Y=(int)yy[0];
			for(i=0;i<=1;i++)
			{
				aa[i]=xx[i]-xx[2];
				bb[i]=yy[i]-yy[2];
				cc[i]=(aa[i]*(xx[i]+xx[2])+bb[i]*(yy[i]+yy[2]))/2;
			}
			d=aa[0]*bb[1]-aa[1]*bb[0];
			if(Math.Abs(d)<=.000001)
			{
				p2.X=(int)xx[2];
				p2.Y=(int)yy[2];
				p3.X=(int)xx[1];
				p3.Y=(int)yy[1];
				g.DrawLine(pen1,p1,p2);
				g.DrawLine(pen1,p2,p3);
			}
			x=(cc[0]*bb[1]-cc[1]*bb[0])/d;
			y=(aa[0]*cc[1]-aa[1]*cc[0])/d;
			p4.X=(int)xx[0];
			p4.Y=(int)yy[0];
			pai=3.14159;
			pai2=2*pai;
			r=Math.Sqrt(Math.Pow(xx[0]-x,2)+Math.Pow(yy[0]-y,2));
			for(i=0;i<=2;i++)
			{
				a=xx[i]-x;
				b=yy[i]-y;
				a1=Math.Abs(a);
				b1=Math.Abs(b);
				if(a1>b1)
				{
					tt[i]=Math.Atan(b1/a1);
				}
				else
				{
					tt[i]=pai/2-Math.Atan(a1/b1);
				}
				if(a<0)
				{
					tt[i]=pai-Math.Sign(b)*tt[i];
				}
				if(a>=0&&b<0)
				{
					tt[i]=pai2-tt[i];
				}
			}
			if(tt[1]-tt[0]<0)tt[1]=tt[1]+pai2;
			if(tt[2]-tt[0]<0)tt[2]=tt[2]+pai2;
			p=Math.Sign(tt[1]-tt[2]);
			if(p==1)
			{
				t=tt[1]-tt[0];
			}
			else
			{
				t=-(tt[0]+pai2-tt[1]);
			}
			n1=Math.Abs((int)(t*r));
			x1=xx[0];
			y1=yy[0];
			cs=Math.Cos(p/r);
			ss=Math.Sin(p/r);
			for(j=1;j<=n1;j+=1)
			{
				sx=x+(x1-x)*cs-(y1-y)*ss;
				y1=(y+(x1-x)*ss+(y1-y)*cs);
				x1=sx;
				p5.X=(int)x1;
				p5.Y=(int)y1;
				g.DrawLine(pen1,p4.X,p4.Y+60,p5.X,p5.Y+60);
				p4=p5;
			}
		}

		private void menuItem5_Click(object sender, System.EventArgs e)
		{
			Graphics g=pictureBox1.CreateGraphics();
			Pen pen1=new Pen(Color.Blue);
			g.Clear(pictureBox1.BackColor);
			double[] x=new double[100];
			double[] y=new double[100];
			double[] a=new double[100];
			double[] b=new double[100];
			double[] c=new double[100];
			double[] px=new double[100];
			double[] py=new double[100];
			double[] qx=new double[100];
			double[] qy=new double[100];
			double[] tt=new double[100];
			double[] dx=new double[100];
			double[] dy=new double[100];
			int i,n=4,t,es=3;
			double bx3,bx4=0.0,by3=0.0,by4;
			int cx,cy;
			for(i=0;i<=n;i++)
			{
				a[i]=0.0;b[i]=0.0;c[i]=0.0;px[i]=0.0;py[i]=0.0;
				dx[i]=0.0;dy[i]=0.0;tt[i]=0.0;qx[i]=0.0;qy[i]=0.0;
			}
			px[0]=1.0;py[0]=1.0;
			px[4]=1.0;py[4]=1.0;
			x[0]=10.0;y[0]=110.0;
			x[1]=40.0;y[1]=100.0;
			x[2]=80.0;y[2]=90.0;
			x[3]=130.0;y[3]=95.0;
			x[4]=200.0;y[4]=105.0;
			p1.X=(int)x[0];
			p1.Y=(int)y[0];

			for(i=0;i<=n;i++)
			{
				p2.X=(int)x[i];
				p2.Y=(int)y[i];
			}
			p3.X=(int)x[0];
			p3.Y=(int)y[0];
			for(i=1;i<=n;i++)
			{
				tt[i]=Math.Sqrt((x[i]-x[i-1])*(x[i]-x[i-1])+(y[i]-y[i-1])*(y[i]-y[i-1]));
			}
			if(n==1)
			{
				goto p0;
			}
			for(i=1;i<=n-1;i++)
			{
				a[i]=2*(tt[i]+tt[i+1]);
				b[i]=tt[i+1];
				c[i]=tt[i];
				dx[i]=3*(tt[i]*(x[i+1]-x[i])/tt[i+1]+tt[i+1]*(x[i]-x[i-1])/tt[i]);
				dy[i]=3*(tt[i]*(y[i+1]-y[i])/tt[i+1]+tt[i+1]*(y[i]-y[i-1])/tt[i]);
			}

			dx[i]=dx[1]-tt[2]*px[0];dx[n-1]=dx[n-1]-tt[n-1]*px[n];
			dy[i]=dy[1]-tt[2]*py[0];dy[n-1]=dy[n-1]-tt[n-1]*py[n];
			if(n==2)
			{
				px[1]=dx[1]/a[1];
				py[1]=dy[1]/a[1];
				goto p0;
			}
			c[1]=c[1]/a[1];
			for(i=2;i<=n-1;i++)
			{