-
C#教程之讲解.NET环境下绘制模糊数学中隶属函数
绘制模糊数学中隶属函数分布图
using System;
using System.Collections.Generic;
using System.ComponentModel;
using System.Data;
using System.Drawing;
using System.Text;
using System.Collections;
using System.Windows.Forms;
using System.Drawing.Imaging;
using System.Drawing.Drawing2D;
namespace ImageFuzzy
...{
public partial class Form1 : Form
...{
private int type1;
private int type2;
private string item1;
private string item2;
private float a;
private float b;
private float c;
private float d1;
private float k;
private float l;
private float tempx;
private float tempy;
public void InitArray()
...{
type1 = 0;
type2 = 0;
k = 2;
item1 = this.comboBox1.Text.ToString();
item2 = this.comboBox2.Text.ToString();
this.groupBox1.Text = item1 + item2 + "图形";
a = float.Parse(this.tbA.Text.Trim().ToString());
b = float.Parse(this.tbB.Text.Trim().ToString());
c = float.Parse(this.tbC.Text.Trim().ToString());
d1 = float.Parse(this.tbD.Text.Trim().ToString());
k = float.Parse(this.tbK.Text.Trim().ToString());
l = float.Parse(this.tbL.Text.Trim().ToString());
type1 = this.comboBox1.SelectedIndex+1;
type2 = this.comboBox2.SelectedIndex+1;
}
private void delete()
...{
a = 0;
b = 0;
c = 0;
d1 = 0;
k = 0;
l = 0;
}
private void set1()
...{
this.tbA.Text = "1";
this.tbB.Text = "2";
this.tbC.Text = "3";
this.tbD.Text = "4";
this.tbK.Text = "1";
this.tbL.Text = "2";
}
private void set2()
...{
this.tbA.Text = "1";
this.tbB.Text = "1.5";
this.tbC.Text = "2";
this.tbD.Text = "2.5";
this.tbK.Text = "1";
this.tbL.Text = "2";
}
private void set3()
...{
this.tbA.Text = "0.5";
this.tbB.Text = "1.5";
this.tbC.Text = "2";
this.tbD.Text = "3";
this.tbK.Text = "3";
this.tbL.Text = "2";
}
private void set4()
...{
this.tbA.Text = "1.5";
this.tbB.Text = "1.5";
this.tbC.Text = "2";
this.tbD.Text = "2.5";
this.tbK.Text = "0.5";
this.tbL.Text = "2";
}
private void set5()
...{
this.tbA.Text = "2";
this.tbB.Text = "2.5";
this.tbC.Text = "3";
this.tbD.Text = "3.5";
this.tbK.Text = "4";
this.tbL.Text = "6";
}
private void set6()
...{
this.tbA.Text = "0.5";
this.tbB.Text = "1.5";
this.tbC.Text = "2";
this.tbD.Text = "2.5";
this.tbK.Text = "2";
this.tbL.Text = "4";
}
public Form1()
...{
InitializeComponent();
}
private void Form1_Load(object sender, EventArgs e)
...{
//set1();
}
private void Form1_Paint(object sender, PaintEventArgs e)
...{
}
private void pictureBox1_Paint(object sender, PaintEventArgs e)
...{
float d;
float x1;
float x2;
float y1;
float y2;
PointF p1;
PointF p2;
int unit = 40;//放大倍数
Font font = new Font("MS UI Gothic", 12);
SolidBrush brush = new SolidBrush(Color.Black);
float interval = 0.001F; //步进刻度，值越小越精确(必须大小0)，但速度也越慢
PointF o = new PointF(this.pictureBox1.Width / 2, this.pictureBox1.Height / 2);
e.Graphics.DrawLine(Pens.Red, 0, this.pictureBox1.Height / 2, this.pictureBox1.Width, this.pictureBox1.Height / 2);
e.Graphics.DrawLine(Pens.Red, this.pictureBox1.Width / 2, 0, this.pictureBox1.Width / 2, this.pictureBox1.Height);
e.Graphics.DrawString("O", font, brush, o);
if (type1 == 0)
...{
for (d = -6.28F; d < 6.28F; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(unit * System.Math.Sin(d));
y2 = o.Y - (float)(unit * System.Math.Sin(d + interval));
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Black, p1, p2);
}
}
else if (type1 == 1)
...{
//set1();
PointF o1 = new PointF(this.pictureBox1.Width/2, this.pictureBox1.Height / 4);
e.Graphics.DrawString("1", font, brush, o1);
if (type2 == 1)
...{
for (d = 0; d < a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(this.pictureBox1.Height / 4);
y2 = o.Y - (float)(this.pictureBox1.Height / 4);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Black, p1, p2);
tempx = x2;
tempy = this.pictureBox1.Height/2;
}
PointF o2 = new PointF(tempx, tempy);
e.Graphics.DrawString(a.ToString(), font, brush, o2);
}
else if (type2 == 2)
...{
for (d = a; d < 2*a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(this.pictureBox1.Height / 4);
y2 = o.Y - (float)(this.pictureBox1.Height / 4);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
PointF o2 = new PointF(tempx, tempy);
e.Graphics.DrawString(a.ToString(), font, brush, o2);
}
else if (type2 == 3)
...{
for (d = a; d
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(this.pictureBox1.Height / 4);
y2 = o.Y - (float)(this.pictureBox1.Height / 4);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
PointF o2 = new PointF(tempx, tempy);
e.Graphics.DrawString(a.ToString(), font, brush, o2);
}
}
else if (type1 == 2)
...{
//set2();
PointF o1 = new PointF(this.pictureBox1.Width/2, this.pictureBox1.Height / 4);
e.Graphics.DrawString("1", font, brush, o1);
以下是引用片段：
if (type2 == 1)
...{
for (d = 0; d <=a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(1*unit);
y2 = o.Y - (float)(1*unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
for (d = a; d < b; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1=o.Y-(float)(unit*((b-d)/(b-a)));
y2=o.Y-(float)(unit*((b-d-interval)/(b-a)));
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
else if(type2==2)
...{
for (d = a; d < b; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1=o.Y-(float)(unit*((d-a)/(b-a)));
y2=o.Y-(float)(unit*((d-a-interval)/(b-a)));
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
for (d = b; d <= (b+a); d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(1 * unit);
y2 = o.Y - (float)(1 * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
else if (type2 == 3)
...{
for (d = a; d < b; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(unit * ((d - a) / (b - a)));
y2 = o.Y - (float)(unit * ((d - a - interval) / (b - a)));
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
for (d = b; d <= c; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(1 * unit);
y2 = o.Y - (float)(1 * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
for (d = c; d < d1; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(unit * ((d1 - d) / (d1 - c)));
y2 = o.Y - (float)(unit * ((d1 - d - interval) / (d1 - c)));
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
}
else if (type1 == 3)
...{
//set3();
PointF o1 = new PointF(this.pictureBox1.Width / 2, this.pictureBox1.Height / 4);
e.Graphics.DrawString("1", font, brush, o1);
if (type2 == 1)
...{
for (d = 0; d <= a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(1 * unit);
y2 = o.Y - (float)(1 * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
for (d = a; d < b; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(unit * (System.Math.Pow((b-d)/(b-a),k)));
y2 = o.Y - (float)(unit * (System.Math.Pow((b - d - interval) / (b - a),k)));
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
else if (type2 == 2)
...{
for (d = a; d < b; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(unit * (System.Math.Pow((d - a) / (b - a), k)));
y2 = o.Y - (float)(unit * (System.Math.Pow((d - a - interval) / (b - a), k)));
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
for (d = b; d <= (a+b); d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(1 * unit);
y2 = o.Y - (float)(1 * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
else if (type2 == 3)
...{
for (d = a; d < b; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(unit * (System.Math.Pow((d - a) / (b - a), k)));
y2 = o.Y - (float)(unit * (System.Math.Pow((d - a - interval) / (b - a), k)));
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
以下是引用片段：
for (d = b; d <= c; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(1 * unit);
y2 = o.Y - (float)(1 * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
for (d = c; d < d1; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(unit * (System.Math.Pow((d1 - d) / (d1- c), k)));
y2 = o.Y - (float)(unit * (System.Math.Pow((d1 - d - interval) / (d1 - c), k)));
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
}
else if (type1 == 4)
...{
//set4();
PointF o1 = new PointF(this.pictureBox1.Width / 2, this.pictureBox1.Height / 4);
e.Graphics.DrawString("1", font, brush, o1);
if (type2 == 3)
...{
for (d = 0; d <= 2*a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(System.Math.Exp(-((d-a)/k)*((d-a)/k)) * unit);
y2 = o.Y - (float)(System.Math.Exp(-((d-interval - a) / k) * ((d-interval - a) / k)) * unit );
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
else if (type2 == 1)
...{
for (d = 0; d <= a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(1 * unit);
y2 = o.Y - (float)(1 * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
for (d = a; d <= 2 * a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(System.Math.Exp(-((d - a) / k) * ((d - a) / k)) * unit);
y2 = o.Y - (float)(System.Math.Exp(-((d - interval - a) / k) * ((d - interval - a) / k)) * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
else if (type2 == 2)
...{
for (d = a; d <= 2 * a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(System.Math.Exp(-((d - a) / k) * ((d - a) / k)) * unit);
y2 = o.Y - (float)(1-System.Math.Exp(-((d - interval - a) / k) * ((d - interval - a) / k)) * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
}
else if (type1 == 5)
...{
//set5();
PointF o1 = new PointF(this.pictureBox1.Width / 2, this.pictureBox1.Height / 4);
e.Graphics.DrawString("1", font, brush, o1);
if (type2 == 3)
...{
for (d = 0; d <= 2 * a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)((1.0/(1+k*System.Math.Pow(d-a,l))) * unit);
y2 = o.Y - (float)((1.0 / (1 + k * System.Math.Pow(d-interval - a, l))) * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
else if (type2 == 1)
...{
for (d = 0; d <= a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(1 * unit);
y2 = o.Y - (float)(1 * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
for (d = a; d <= 2 * a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)((1.0 / (1 + k * System.Math.Pow(d - a, l))) * unit);
y2 = o.Y - (float)((1.0 / (1 + k * System.Math.Pow(d - interval - a, l))) * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
else if (type2 == 2)
...{
for (d = a; d <= 2 * a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)((1.0 / (1 + k * System.Math.Pow(d - a, -l))) * unit);
y2 = o.Y - (float)((1.0 / (1 + k * System.Math.Pow(d - interval - a, -l))) * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
for (d = 2*a; d <= 3*a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(1 * unit);
y2 = o.Y - (float)(1 * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
}
以下是引用片段：
else if (type1 == 6)
...{
//set6();
PointF o1 = new PointF(this.pictureBox1.Width / 2, this.pictureBox1.Height / 4);
e.Graphics.DrawString("1", font, brush, o1);
if (type2 == 3)
...{
for (d =-b; d < -a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)((0.5 + 0.5 * System.Math.Sin((d-(a+b)/2)*(System.Math.PI/(b-a)))) * unit);
y2 = o.Y - (float)((0.5 + 0.5 * System.Math.Sin((d-interval - (a + b) / 2) * (System.Math.PI / (b - a)))) * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
for (d = -a; d < a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(1* unit);
y2 = o.Y - (float)(1 * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
for (d = a; d < b; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)((0.5 - 0.5 * System.Math.Sin((d - (a + b) / 2) * (System.Math.PI / (b - a)))) * unit);
y2 = o.Y - (float)((0.5 - 0.5 * System.Math.Sin((d - interval - (a + b) / 2) * (System.Math.PI / (b - a)))) * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
else if (type2 == 1)
...{
for (d = 0; d < a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(1 * unit);
y2 = o.Y - (float)(1 * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
for (d = a; d < b; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)((0.5 - 0.5 * System.Math.Sin((d - (a + b) / 2) * (System.Math.PI / (b - a)))) * unit);
y2 = o.Y - (float)((0.5 - 0.5 * System.Math.Sin((d - interval - (a + b) / 2) * (System.Math.PI / (b - a)))) * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
else if (type2 == 2)
...{
for (d = a; d < b; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)((0.5 + 0.5 * System.Math.Sin((d - (a + b) / 2) * (System.Math.PI / (b - a)))) * unit);
y2 = o.Y - (float)((0.5 + 0.5 * System.Math.Sin((d - interval - (a + b) / 2) * (System.Math.PI / (b - a)))) * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
for (d = b; d < c; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(1 * unit);
y2 = o.Y - (float)(1 * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
}
}
private void button1_Click(object sender, EventArgs e)
...{
InitArray();
Graphics g = Graphics.FromHwnd(this.pictureBox1.Handle);
PaintEventArgs e1 = new PaintEventArgs(g, this.pictureBox1.ClientRectangle);
this.pictureBox1_Paint(this.pictureBox1, e1);
g.Dispose();
}
}
整个源代码如上。
首先：重载 pictureBox1_Paint 函数
进行画图时思想很简单，确定起始位置，结束位置，本程序中我用System.Drawing.PointF对象存储点坐标。
使用 e.Graphics.DrawLine(Pens.Black, 坐标1, 坐标2)进行线条的绘制。
下面我将拿绘制正态分布图形介绍下：
程序段如下：
以下是引用片段：
for (d = a; d <= 2 * a; d += interval)
{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(System.Math.Exp(-((d - a) / k) * ((d - a) / k)) * unit);
y2 = o.Y - (float)(1-System.Math.Exp(-((d - interval - a) / k) * ((d - interval - a) / k)) * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
其中：unit代表图形放大倍数，数值越大图形放大倍数越大。
interval 代表步进刻度，值越小越精确(必须大小0)，但速度也越慢
先确定起始坐标(x1,y1)，再结合正态分布在增加一个步进刻度的情况下确定(x2,y2)，接下来调用e.Graphics.DrawLine进行画图。
最后还有一点，由于每次重新画图的时候都要调用private void pictureBox1_Paint(object sender, PaintEventArgs e)，其不是用户定义方法，所以用户句柄重新获取PictureBox_Paint方法，重新绘制图形，代码段如下：
以下是引用片段：
Graphics g = Graphics.FromHwnd(this.pictureBox1.Handle);
PaintEventArgs e1 = new PaintEventArgs(g, this.pictureBox1.ClientRectangle);
this.pictureBox1_Paint(this.pictureBox1, e1);
g.Dispose();
using System;
using System.Collections.Generic;
using System.ComponentModel;
using System.Data;
using System.Drawing;
using System.Text;
using System.Collections;
using System.Windows.Forms;
using System.Drawing.Imaging;
using System.Drawing.Drawing2D;
namespace ImageFuzzy
...{
public partial class Form1 : Form
...{
private int type1;
private int type2;
private string item1;
private string item2;
private float a;
private float b;
private float c;
private float d1;
private float k;
private float l;
private float tempx;
private float tempy;
public void InitArray()
...{
type1 = 0;
type2 = 0;
k = 2;
item1 = this.comboBox1.Text.ToString();
item2 = this.comboBox2.Text.ToString();
this.groupBox1.Text = item1 + item2 + "图形";
a = float.Parse(this.tbA.Text.Trim().ToString());
b = float.Parse(this.tbB.Text.Trim().ToString());
c = float.Parse(this.tbC.Text.Trim().ToString());
d1 = float.Parse(this.tbD.Text.Trim().ToString());
k = float.Parse(this.tbK.Text.Trim().ToString());
l = float.Parse(this.tbL.Text.Trim().ToString());
type1 = this.comboBox1.SelectedIndex+1;
type2 = this.comboBox2.SelectedIndex+1;
}
private void delete()
...{
a = 0;
b = 0;
c = 0;
d1 = 0;
k = 0;
l = 0;
}
private void set1()
...{
this.tbA.Text = "1";
this.tbB.Text = "2";
this.tbC.Text = "3";
this.tbD.Text = "4";
this.tbK.Text = "1";
this.tbL.Text = "2";
}
private void set2()
...{
this.tbA.Text = "1";
this.tbB.Text = "1.5";
this.tbC.Text = "2";
this.tbD.Text = "2.5";
this.tbK.Text = "1";
this.tbL.Text = "2";
}
private void set3()
...{
this.tbA.Text = "0.5";
this.tbB.Text = "1.5";
this.tbC.Text = "2";
this.tbD.Text = "3";
this.tbK.Text = "3";
this.tbL.Text = "2";
}
private void set4()
...{
this.tbA.Text = "1.5";
this.tbB.Text = "1.5";
this.tbC.Text = "2";
this.tbD.Text = "2.5";
this.tbK.Text = "0.5";
this.tbL.Text = "2";
}
private void set5()
...{
this.tbA.Text = "2";
this.tbB.Text = "2.5";
this.tbC.Text = "3";
this.tbD.Text = "3.5";
this.tbK.Text = "4";
this.tbL.Text = "6";
}
private void set6()
...{
this.tbA.Text = "0.5";
this.tbB.Text = "1.5";
this.tbC.Text = "2";
this.tbD.Text = "2.5";
this.tbK.Text = "2";
this.tbL.Text = "4";
}
public Form1()
...{
InitializeComponent();
}
private void Form1_Load(object sender, EventArgs e)
...{
//set1();
}
private void Form1_Paint(object sender, PaintEventArgs e)
...{
}
private void pictureBox1_Paint(object sender, PaintEventArgs e)
...{
float d;
float x1;
float x2;
float y1;
float y2;
PointF p1;
PointF p2;
int unit = 40;//放大倍数
Font font = new Font("MS UI Gothic", 12);
SolidBrush brush = new SolidBrush(Color.Black);
float interval = 0.001F; //步进刻度，值越小越精确(必须大小0)，但速度也越慢
PointF o = new PointF(this.pictureBox1.Width / 2, this.pictureBox1.Height / 2);
e.Graphics.DrawLine(Pens.Red, 0, this.pictureBox1.Height / 2, this.pictureBox1.Width, this.pictureBox1.Height / 2);
e.Graphics.DrawLine(Pens.Red, this.pictureBox1.Width / 2, 0, this.pictureBox1.Width / 2, this.pictureBox1.Height);
e.Graphics.DrawString("O", font, brush, o);
if (type1 == 0)
...{
for (d = -6.28F; d < 6.28F; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(unit * System.Math.Sin(d));
y2 = o.Y - (float)(unit * System.Math.Sin(d + interval));
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Black, p1, p2);
}
}
else if (type1 == 1)
...{
//set1();
PointF o1 = new PointF(this.pictureBox1.Width/2, this.pictureBox1.Height / 4);
e.Graphics.DrawString("1", font, brush, o1);
if (type2 == 1)
...{
for (d = 0; d < a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(this.pictureBox1.Height / 4);
y2 = o.Y - (float)(this.pictureBox1.Height / 4);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Black, p1, p2);
tempx = x2;
tempy = this.pictureBox1.Height/2;
}
PointF o2 = new PointF(tempx, tempy);
e.Graphics.DrawString(a.ToString(), font, brush, o2);
}
else if (type2 == 2)
...{
for (d = a; d < 2*a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(this.pictureBox1.Height / 4);
y2 = o.Y - (float)(this.pictureBox1.Height / 4);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
PointF o2 = new PointF(tempx, tempy);
e.Graphics.DrawString(a.ToString(), font, brush, o2);
}
else if (type2 == 3)
...{
for (d = a; d
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(this.pictureBox1.Height / 4);
y2 = o.Y - (float)(this.pictureBox1.Height / 4);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
PointF o2 = new PointF(tempx, tempy);
e.Graphics.DrawString(a.ToString(), font, brush, o2);
}
}
else if (type1 == 2)
...{
//set2();
PointF o1 = new PointF(this.pictureBox1.Width/2, this.pictureBox1.Height / 4);
e.Graphics.DrawString("1", font, brush, o1);
以下是引用片段：
if (type2 == 1)
...{
for (d = 0; d <=a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(1*unit);
y2 = o.Y - (float)(1*unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
for (d = a; d < b; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1=o.Y-(float)(unit*((b-d)/(b-a)));
y2=o.Y-(float)(unit*((b-d-interval)/(b-a)));
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
else if(type2==2)
...{
for (d = a; d < b; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1=o.Y-(float)(unit*((d-a)/(b-a)));
y2=o.Y-(float)(unit*((d-a-interval)/(b-a)));
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
for (d = b; d <= (b+a); d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(1 * unit);
y2 = o.Y - (float)(1 * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
else if (type2 == 3)
...{
for (d = a; d < b; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(unit * ((d - a) / (b - a)));
y2 = o.Y - (float)(unit * ((d - a - interval) / (b - a)));
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
for (d = b; d <= c; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(1 * unit);
y2 = o.Y - (float)(1 * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
for (d = c; d < d1; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(unit * ((d1 - d) / (d1 - c)));
y2 = o.Y - (float)(unit * ((d1 - d - interval) / (d1 - c)));
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
}
else if (type1 == 3)
...{
//set3();
PointF o1 = new PointF(this.pictureBox1.Width / 2, this.pictureBox1.Height / 4);
e.Graphics.DrawString("1", font, brush, o1);
if (type2 == 1)
...{
for (d = 0; d <= a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(1 * unit);
y2 = o.Y - (float)(1 * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
for (d = a; d < b; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(unit * (System.Math.Pow((b-d)/(b-a),k)));
y2 = o.Y - (float)(unit * (System.Math.Pow((b - d - interval) / (b - a),k)));
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
else if (type2 == 2)
...{
for (d = a; d < b; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(unit * (System.Math.Pow((d - a) / (b - a), k)));
y2 = o.Y - (float)(unit * (System.Math.Pow((d - a - interval) / (b - a), k)));
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
for (d = b; d <= (a+b); d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(1 * unit);
y2 = o.Y - (float)(1 * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
else if (type2 == 3)
...{
for (d = a; d < b; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(unit * (System.Math.Pow((d - a) / (b - a), k)));
y2 = o.Y - (float)(unit * (System.Math.Pow((d - a - interval) / (b - a), k)));
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
以下是引用片段：
for (d = b; d <= c; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(1 * unit);
y2 = o.Y - (float)(1 * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
for (d = c; d < d1; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(unit * (System.Math.Pow((d1 - d) / (d1- c), k)));
y2 = o.Y - (float)(unit * (System.Math.Pow((d1 - d - interval) / (d1 - c), k)));
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
}
else if (type1 == 4)
...{
//set4();
PointF o1 = new PointF(this.pictureBox1.Width / 2, this.pictureBox1.Height / 4);
e.Graphics.DrawString("1", font, brush, o1);
if (type2 == 3)
...{
for (d = 0; d <= 2*a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(System.Math.Exp(-((d-a)/k)*((d-a)/k)) * unit);
y2 = o.Y - (float)(System.Math.Exp(-((d-interval - a) / k) * ((d-interval - a) / k)) * unit );
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
else if (type2 == 1)
...{
for (d = 0; d <= a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(1 * unit);
y2 = o.Y - (float)(1 * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
for (d = a; d <= 2 * a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(System.Math.Exp(-((d - a) / k) * ((d - a) / k)) * unit);
y2 = o.Y - (float)(System.Math.Exp(-((d - interval - a) / k) * ((d - interval - a) / k)) * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
else if (type2 == 2)
...{
for (d = a; d <= 2 * a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(System.Math.Exp(-((d - a) / k) * ((d - a) / k)) * unit);
y2 = o.Y - (float)(1-System.Math.Exp(-((d - interval - a) / k) * ((d - interval - a) / k)) * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
}
else if (type1 == 5)
...{
//set5();
PointF o1 = new PointF(this.pictureBox1.Width / 2, this.pictureBox1.Height / 4);
e.Graphics.DrawString("1", font, brush, o1);
if (type2 == 3)
...{
for (d = 0; d <= 2 * a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)((1.0/(1+k*System.Math.Pow(d-a,l))) * unit);
y2 = o.Y - (float)((1.0 / (1 + k * System.Math.Pow(d-interval - a, l))) * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
else if (type2 == 1)
...{
for (d = 0; d <= a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(1 * unit);
y2 = o.Y - (float)(1 * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
for (d = a; d <= 2 * a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)((1.0 / (1 + k * System.Math.Pow(d - a, l))) * unit);
y2 = o.Y - (float)((1.0 / (1 + k * System.Math.Pow(d - interval - a, l))) * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
else if (type2 == 2)
...{
for (d = a; d <= 2 * a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)((1.0 / (1 + k * System.Math.Pow(d - a, -l))) * unit);
y2 = o.Y - (float)((1.0 / (1 + k * System.Math.Pow(d - interval - a, -l))) * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
for (d = 2*a; d <= 3*a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(1 * unit);
y2 = o.Y - (float)(1 * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
}
以下是引用片段：
else if (type1 == 6)
...{
//set6();
PointF o1 = new PointF(this.pictureBox1.Width / 2, this.pictureBox1.Height / 4);
e.Graphics.DrawString("1", font, brush, o1);
if (type2 == 3)
...{
for (d =-b; d < -a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)((0.5 + 0.5 * System.Math.Sin((d-(a+b)/2)*(System.Math.PI/(b-a)))) * unit);
y2 = o.Y - (float)((0.5 + 0.5 * System.Math.Sin((d-interval - (a + b) / 2) * (System.Math.PI / (b - a)))) * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
for (d = -a; d < a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(1* unit);
y2 = o.Y - (float)(1 * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
for (d = a; d < b; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)((0.5 - 0.5 * System.Math.Sin((d - (a + b) / 2) * (System.Math.PI / (b - a)))) * unit);
y2 = o.Y - (float)((0.5 - 0.5 * System.Math.Sin((d - interval - (a + b) / 2) * (System.Math.PI / (b - a)))) * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
else if (type2 == 1)
...{
for (d = 0; d < a; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(1 * unit);
y2 = o.Y - (float)(1 * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
for (d = a; d < b; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)((0.5 - 0.5 * System.Math.Sin((d - (a + b) / 2) * (System.Math.PI / (b - a)))) * unit);
y2 = o.Y - (float)((0.5 - 0.5 * System.Math.Sin((d - interval - (a + b) / 2) * (System.Math.PI / (b - a)))) * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
else if (type2 == 2)
...{
for (d = a; d < b; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)((0.5 + 0.5 * System.Math.Sin((d - (a + b) / 2) * (System.Math.PI / (b - a)))) * unit);
y2 = o.Y - (float)((0.5 + 0.5 * System.Math.Sin((d - interval - (a + b) / 2) * (System.Math.PI / (b - a)))) * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
for (d = b; d < c; d += interval)
...{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(1 * unit);
y2 = o.Y - (float)(1 * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
}
}
}
private void button1_Click(object sender, EventArgs e)
...{
InitArray();
Graphics g = Graphics.FromHwnd(this.pictureBox1.Handle);
PaintEventArgs e1 = new PaintEventArgs(g, this.pictureBox1.ClientRectangle);
this.pictureBox1_Paint(this.pictureBox1, e1);
g.Dispose();
}
}
整个源代码如上。
首先：重载 pictureBox1_Paint 函数
进行画图时思想很简单，确定起始位置，结束位置，本程序中我用System.Drawing.PointF对象存储点坐标。
使用 e.Graphics.DrawLine(Pens.Black, 坐标1, 坐标2)进行线条的绘制。
下面我将拿绘制正态分布图形介绍下：
程序段如下：
以下是引用片段：
for (d = a; d <= 2 * a; d += interval)
{
x1 = o.X + d * unit;
x2 = o.X + (d + interval) * unit;
y1 = o.Y - (float)(System.Math.Exp(-((d - a) / k) * ((d - a) / k)) * unit);
y2 = o.Y - (float)(1-System.Math.Exp(-((d - interval - a) / k) * ((d - interval - a) / k)) * unit);
p1 = new PointF(x1, y1);
p2 = new PointF(x2, y2);
e.Graphics.DrawLine(Pens.Blue, p1, p2);
}
其中：unit代表图形放大倍数，数值越大图形放大倍数越大。
interval 代表步进刻度，值越小越精确(必须大小0)，但速度也越慢
先确定起始坐标(x1,y1)，再结合正态分布在增加一个步进刻度的情况下确定(x2,y2)，接下来调用e.Graphics.DrawLine进行画图。
最后还有一点，由于每次重新画图的时候都要调用private void pictureBox1_Paint(object sender, PaintEventArgs e)，其不是用户定义方法，所以用户句柄重新获取PictureBox_Paint方法，重新绘制图形，代码段如下：
以下是引用片段：
Graphics g = Graphics.FromHwnd(this.pictureBox1.Handle);
PaintEventArgs e1 = new PaintEventArgs(g, this.pictureBox1.ClientRectangle);
this.pictureBox1_Paint(this.pictureBox1, e1);
g.Dispose();
最新更新
Objective-C语法之代码块(block)的使用
VB.NET eBook
Add-in and Automation Development In VB.NET 2003 (F
Add-in and Automation Development In VB.NET 2003 (8
Add-in and Automation Development in VB.NET 2003 (6
Add-in and Automation Development In VB.NET 2003 (5
AddIn Automation Development In VB.NET 2003 (4)
AddIn And Automation Development In VB.NET 2003 (2)
Addin and Automation Development In VB.NET 2003 (3)
AddIn And Automation Development In VB.NET 2003 (1)
2个场景实例讲解GaussDB(DWS)基表统计信息估
常用的 SQL Server 关键字及其含义
动手分析SQL Server中的事务中使用的锁
openGauss内核分析：SQL by pass & 经典执行
一招教你如何高效批量导入与更新数据
天天写SQL，这些神奇的特性你知道吗？
openGauss内核分析：执行计划生成
[IM002]Navicat ODBC驱动器管理器 未发现数据
初入Sql Server 之 存储过程的简单使用
SQL Server -- 解决存储过程传入参数作为s
武装你的WEBAPI-OData入门
武装你的WEBAPI-OData便捷查询
武装你的WEBAPI-OData分页查询
武装你的WEBAPI-OData资源更新Delta
5. 武装你的WEBAPI-OData使用Endpoint 05-09
武装你的WEBAPI-OData之API版本管理
武装你的WEBAPI-OData常见问题
武装你的WEBAPI-OData聚合查询
OData WebAPI实践-OData与EDM
OData WebAPI实践-Non-EDM模式
