📄 form1.cs
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using System;
using System.Drawing;
using System.Collections;
using System.ComponentModel;
using System.Windows.Forms;
using System.Data;
namespace 特殊变换图案设计
{
/// <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.MenuItem menuItem4;
public Point p1=new Point();
public Point p2=new Point();
private System.Windows.Forms.MenuItem menuItem5;
private System.Windows.Forms.MenuItem menuItem6;
private System.Windows.Forms.MenuItem menuItem8;
private System.Windows.Forms.MenuItem menuItem9;
private System.Windows.Forms.MenuItem menuItem7;
private System.Windows.Forms.MenuItem menuItem10;
private System.Windows.Forms.MenuItem menuItem11;
private System.Windows.Forms.MenuItem menuItem12;
private System.Windows.Forms.MenuItem menuItem13;
private System.Windows.Forms.MenuItem menuItem14;
private System.Windows.Forms.MenuItem menuItem15;
private System.Windows.Forms.MenuItem menuItem16;
private System.Windows.Forms.MenuItem menuItem17;
private System.Windows.Forms.MenuItem menuItem18;
private System.Windows.Forms.MenuItem menuItem19;
private System.Windows.Forms.MenuItem menuItem20;
private System.Windows.Forms.MenuItem menuItem21;
private System.Windows.Forms.MenuItem menuItem22;
private System.Windows.Forms.MenuItem menuItem23;
private System.Windows.Forms.MenuItem menuItem24;
/// <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.menuItem6 = new System.Windows.Forms.MenuItem();
this.menuItem8 = new System.Windows.Forms.MenuItem();
this.menuItem9 = new System.Windows.Forms.MenuItem();
this.menuItem7 = 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.menuItem13 = new System.Windows.Forms.MenuItem();
this.menuItem15 = new System.Windows.Forms.MenuItem();
this.menuItem16 = new System.Windows.Forms.MenuItem();
this.menuItem17 = new System.Windows.Forms.MenuItem();
this.menuItem18 = new System.Windows.Forms.MenuItem();
this.menuItem14 = new System.Windows.Forms.MenuItem();
this.menuItem19 = new System.Windows.Forms.MenuItem();
this.menuItem20 = new System.Windows.Forms.MenuItem();
this.menuItem21 = new System.Windows.Forms.MenuItem();
this.menuItem23 = new System.Windows.Forms.MenuItem();
this.menuItem22 = new System.Windows.Forms.MenuItem();
this.menuItem24 = new System.Windows.Forms.MenuItem();
//
// mainMenu1
//
this.mainMenu1.MenuItems.AddRange(new System.Windows.Forms.MenuItem[] {
this.menuItem1,
this.menuItem7,
this.menuItem11,
this.menuItem19,
this.menuItem21,
this.menuItem22});
//
// menuItem1
//
this.menuItem1.Index = 0;
this.menuItem1.MenuItems.AddRange(new System.Windows.Forms.MenuItem[] {
this.menuItem2,
this.menuItem3,
this.menuItem4,
this.menuItem5,
this.menuItem6});
this.menuItem1.Text = "内插法图形变换";
//
// menuItem2
//
this.menuItem2.Index = 0;
this.menuItem2.Text = "抛物线到圆";
this.menuItem2.Click += new System.EventHandler(this.menuItem2_Click);
//
// menuItem3
//
this.menuItem3.Index = 1;
this.menuItem3.Text = "蝶形到蔷薇花";
this.menuItem3.Click += new System.EventHandler(this.menuItem3_Click);
//
// menuItem4
//
this.menuItem4.Index = 2;
this.menuItem4.Text = "蔷薇花到圆";
this.menuItem4.Click += new System.EventHandler(this.menuItem4_Click);
//
// menuItem5
//
this.menuItem5.Index = 3;
this.menuItem5.Text = "圆到正方形";
this.menuItem5.Click += new System.EventHandler(this.menuItem5_Click);
//
// menuItem6
//
this.menuItem6.Index = 4;
this.menuItem6.MenuItems.AddRange(new System.Windows.Forms.MenuItem[] {
this.menuItem8,
this.menuItem9});
this.menuItem6.Text = "对数内插变换";
//
// menuItem8
//
this.menuItem8.Index = 0;
this.menuItem8.Text = "对数内插变换1";
this.menuItem8.Click += new System.EventHandler(this.menuItem8_Click);
//
// menuItem9
//
this.menuItem9.Index = 1;
this.menuItem9.Text = "对数内插变换2";
this.menuItem9.Click += new System.EventHandler(this.menuItem9_Click);
//
// menuItem7
//
this.menuItem7.Index = 1;
this.menuItem7.MenuItems.AddRange(new System.Windows.Forms.MenuItem[] {
this.menuItem10});
this.menuItem7.Text = "图案的扇形变换";
//
// menuItem10
//
this.menuItem10.Index = 0;
this.menuItem10.Text = "扇形变换";
this.menuItem10.Click += new System.EventHandler(this.menuItem10_Click);
//
// menuItem11
//
this.menuItem11.Index = 2;
this.menuItem11.MenuItems.AddRange(new System.Windows.Forms.MenuItem[] {
this.menuItem12,
this.menuItem13,
this.menuItem14});
this.menuItem11.Text = "圆环变换";
//
// menuItem12
//
this.menuItem12.Index = 0;
this.menuItem12.Text = "单层圆环变换";
this.menuItem12.Click += new System.EventHandler(this.menuItem12_Click);
//
// menuItem13
//
this.menuItem13.Index = 1;
this.menuItem13.MenuItems.AddRange(new System.Windows.Forms.MenuItem[] {
this.menuItem15,
this.menuItem16,
this.menuItem17,
this.menuItem18});
this.menuItem13.Text = "双层圆环变换";
//
// menuItem15
//
this.menuItem15.Index = 0;
this.menuItem15.Text = "双层圆环变换案例";
this.menuItem15.Click += new System.EventHandler(this.menuItem15_Click);
//
// menuItem16
//
this.menuItem16.Index = 1;
this.menuItem16.Text = "双层圆环变换练习1";
this.menuItem16.Click += new System.EventHandler(this.menuItem16_Click);
//
// menuItem17
//
this.menuItem17.Index = 2;
this.menuItem17.Text = "双层圆环变换练习2";
this.menuItem17.Click += new System.EventHandler(this.menuItem17_Click);
//
// menuItem18
//
this.menuItem18.Index = 3;
this.menuItem18.Text = "双层圆环变换练习3";
this.menuItem18.Click += new System.EventHandler(this.menuItem18_Click);
//
// menuItem14
//
this.menuItem14.Index = 2;
this.menuItem14.Text = "三层圆环变换";
this.menuItem14.Click += new System.EventHandler(this.menuItem14_Click);
//
// menuItem19
//
this.menuItem19.Index = 3;
this.menuItem19.MenuItems.AddRange(new System.Windows.Forms.MenuItem[] {
this.menuItem20});
this.menuItem19.Text = "球面镜变换";
//
// menuItem20
//
this.menuItem20.Index = 0;
this.menuItem20.Text = "花形图案";
this.menuItem20.Click += new System.EventHandler(this.menuItem20_Click);
//
// menuItem21
//
this.menuItem21.Index = 4;
this.menuItem21.MenuItems.AddRange(new System.Windows.Forms.MenuItem[] {
this.menuItem23});
this.menuItem21.Text = "三角函数变换";
//
// menuItem23
//
this.menuItem23.Index = 0;
this.menuItem23.Text = "花形图案";
this.menuItem23.Click += new System.EventHandler(this.menuItem23_Click);
//
// menuItem22
//
this.menuItem22.Index = 5;
this.menuItem22.MenuItems.AddRange(new System.Windows.Forms.MenuItem[] {
this.menuItem24});
this.menuItem22.Text = "三角形变换";
//
// menuItem24
//
this.menuItem24.Index = 0;
this.menuItem24.Text = "6瓣花形图案";
this.menuItem24.Click += new System.EventHandler(this.menuItem24_Click);
//
// Form1
//
this.AutoScaleBaseSize = new System.Drawing.Size(6, 14);
this.ClientSize = new System.Drawing.Size(560, 408);
this.Menu = this.mainMenu1;
this.Name = "Form1";
this.Text = "Form1";
}
#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)
{
Graphics g=this.CreateGraphics();
Pen pen1=new Pen(Color.Black);
g.Clear(this.BackColor);
int n,nn,x,y,bx,by,px,py,i;
double pi,a;
double[] x1=new double[130];
double[] y1=new double[130];
double[] x2=new double[130];
double[] y2=new double[130];
x=p1.X;y=p1.Y;
bx=p2.X;by=p2.Y;
pi=3.14159;n=-1;nn=35;i=0;
for(a=0;a<=2*pi;a+=pi/60)
{
i++;
x1[i]=28*Math.Cos(a);
y1[i]=28*Math.Cos(2*a);
x2[i]=28*Math.Cos(a);
y2[i]=28*Math.Sin(a);
}
for(px=60;px<=470;px+=80)
{
for(py=60;py<=330;py+=60)
{
n++;
for(i=1;i<=120;i++)
{
x=(int)((x2[i]-x1[i])/nn*n+x1[i]);
y=(int)((y2[i]-y1[i])/nn*n+y1[i]);
x+=px;
y+=py;
if(i==1)
{
p1.X=x;p1.Y=y;
}
else
{
bx=x;by=y;
p2.X=bx;p2.Y=by;
g.DrawLine(pen1,p1,p2);
p1=p2;
}
}
p1.X=x;p1.Y=y;
g.DrawLine(pen1,p2,p1);
}
}
}
private void menuItem3_Click(object sender, System.EventArgs e)
{
Graphics g=this.CreateGraphics();
Pen pen1=new Pen(Color.Red);
g.Clear(this.BackColor);
int n,x,y,bx,by,px,py,i,r;
double pi,a;
double[] x1=new double[130];
double[] y1=new double[130];
double[] x2=new double[130];
double[] y2=new double[130];
x=p1.X;y=p1.Y;
bx=p2.X;by=p2.Y;
pi=3.14159;
r=35;
i=0;
for(a=0;a<=2*pi;a+=pi/60)
{
i++;
x1[i]=1.1*(r/5*Math.Sin(8*a)+r*Math.Sin(2*a))*Math.Cos(a);
y1[i]=0.85*(r/5*Math.Sin(8*a)+r*Math.Sin(2*a))*Math.Sin(a);
}
i=0;
for(a=0;a<=2*pi;a+=pi/60)
{
i++;
x2[i]=(r/5*Math.Sin(6*a)+r*Math.Sin(2*a))*Math.Cos(a);
y2[i]=(r/5*Math.Sin(6*a)+r*Math.Sin(2*a))*Math.Sin(a);;
}
n=-1;
for(px=70;px<=370;px+=60)
{
for(py=50;py<=350;py+=60)
{
n++;
for(i=1;i<=120;i++)
{
x=(int)((x2[i]-x1[i])/35*n+x1[i]);
y=(int)((y2[i]-y1[i])/35*n+y1[i]);
x+=px;
y+=py;
if(i==1)
{
p1.X=x;p1.Y=y;
}
else
{
bx=x;by=y;
p2.X=bx;p2.Y=by;
g.DrawLine(pen1,p1,p2);
p1=p2;
}
}
p1.X=x;p1.Y=y;
g.DrawLine(pen1,p2,p1);
}
}
}
private void menuItem4_Click(object sender, System.EventArgs e)
{
Graphics g=this.CreateGraphics();
Pen pen1=new Pen(Color.Red);
g.Clear(this.BackColor);
int n,nn,x,y,bx,by,i,r;
double pi,a,d,t;
double[] x1=new double[130];
double[] y1=new double[130];
double[] x2=new double[130];
double[] y2=new double[130];
x=p1.X;y=p1.Y;
bx=p2.X;by=p2.Y;
pi=3.14159;nn=25;i=0;
for(a=0;a<=2*pi;a+=pi/60)
{
r=120;
i++;
x1[i]=r*Math.Cos(a);
y1[i]=-r*Math.Sin(a);
d=r*(1+0.5*Math.Sin(12*a));
t=d*(1/2+0.5*Math.Sin(4*a));
x2[i]=t*Math.Cos(a);
y2[i]=-t*Math.Sin(a);
}
for(n=0;n<=nn;n++)
{
for(i=1;i<=120;i++)
{
x=(int)((x2[i]-x1[i])/nn*n+x1[i]);
y=(int)((y2[i]-y1[i])/nn*n+y1[i]);
x+=200;
y+=160;
if(i==1)
{
p1.X=x;p1.Y=y;
}
else
{
bx=x;by=y;
p2.X=bx;p2.Y=by;
g.DrawLine(pen1,p1,p2);
p1=p2;
}
}
p1.X=x;p1.Y=y;
g.DrawLine(pen1,p2,p1);
}
}
private void menuItem5_Click(object sender, System.EventArgs e)
{
Graphics g=this.CreateGraphics();
Pen pen1=new Pen(Color.Red);
g.Clear(this.BackColor);
int n,nn,x,y,bx,by,i,r,j,m,k,px;
double pi,a,l,x0,y0,aa,dd;
double[] x1=new double[130];
double[] y1=new double[130];
double[] x2=new double[130];
double[] y2=new double[130];
x=p1.X;y=p1.Y;
bx=p2.X;by=p2.Y;
pi=3.14159;nn=16;i=0;r=160;
for(a=0;a<=2*pi;a+=pi/60)
{
i++;
x1[i]=r*Math.Cos(a);
y1[i]=-r*Math.Sin(a);
}
m=4;j=0;k=30;r=90;l=2*r*Math.Sin(pi/m);dd=l/k;
for(a=0;a<=2*pi-2*pi/m;a+=2*pi/m)
{
aa=a+pi/2;
x0=r*Math.Sin(aa);
y0=r*Math.Cos(aa);
for(i=0;i<=k-1;i++)
{
j++;
x2[j]=x0+i*dd*Math.Sin(aa+pi/2+pi/m);
y2[j]=y0+i*dd*Math.Cos(aa+pi/2+pi/m);
}
}
for(n=0;n<=nn;n++)
{
px=(int)(60*n/nn+260);
for(i=1;i<=120;i++)
{
x=(int)((x2[i]-x1[i])/nn*n+x1[i]);
y=(int)((y2[i]-y1[i])/nn*n+y1[i]);
x+=px;
y+=150;
if(i==1)
{
p1.X=x;p1.Y=y;
}
else
{
bx=x;by=y;
p2.X=bx;p2.Y=by;
g.DrawLine(pen1,p1,p2);
p1=p2;
}
}
p1.X=x;p1.Y=y;
g.DrawLine(pen1,p2,p1);
}
}
private void menuItem8_Click(object sender, System.EventArgs e)
{
Graphics g=this.CreateGraphics();
Pen pen1=new Pen(Color.Red);
g.Clear(this.BackColor);
int n,nn,x,y,bx,by,i,r,j,m,k;
double a,d,pi,pi1,l,x0,y0,aa,dd;
double[] x1=new double[130];
double[] y1=new double[130];
double[] x2=new double[130];
double[] y2=new double[130];
x=p1.X;y=p1.Y;
bx=p2.X;by=p2.Y;
pi=3.14159;nn=25;i=0;r=50;pi1=pi/60;
for(a=0;a<=2*pi;a+=pi1)
{
i++;
d=r*(1+Math.Sin(5*(a+pi/4)));
x1[i]=d*Math.Cos(a+pi/4);
y1[i]=-d*Math.Sin(a+pi/4);
}
m=4;j=0;k=30;r=200;
l=2*r*Math.Sin(pi/m);
dd=l/k;
for(a=0;a<=2*pi-2*pi/m;a+=2*pi/m)
{
aa=a+3*pi/4;
x0=r*Math.Sin(aa);
y0=r*Math.Cos(aa);
for(i=0;i<=k-1;i++)
{
j++;
x2[j]=x0+i*dd*Math.Sin(aa+pi/2+pi/m);
y2[j]=y0+i*dd*Math.Cos(aa+pi/2+pi/m);
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