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在.NET环境下绘制模糊数学中隶属函数分布图

发布时间:2019-09-12 17:50:31

在.NET环境下绘制模糊数学中隶属函数分布图的整个源代码如下: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。

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 <b; 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 (type1 == 2)

...{

//set2();

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*((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);

}

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);

}

}

}

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();

}

}

}

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:

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);

}

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:

Graphics g = Graphics.FromHwnd(this.pictureBox1.Handle);

PaintEventArgs e1 = new PaintEventArgs(g, this.pictureBox1.ClientRectangle);

this.pictureBox1_Paint(this.pictureBox1, e1);

g.Dispose();

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