winform 关于双曲线的动态绘制

任意输入 参数a,b的值，

大量瞄点连线，汇成双曲线。

具体代码如下

using System;

using System.Collections.Generic;

using System.ComponentModel;

using System.Data;

using System.Drawing;

using System.Linq;

using System.Text;

using System.Windows.Forms;

using ZedGraph;

namespace 绘图

{

    public partial class Form1 : Form

    {

        public Form1()

        {

            InitializeComponent();

        }

        PointPairList list = new PointPairList();

        PointPairList list1 = new PointPairList();

        PointPairList list2 = new PointPairList();

        PointPairList list3 = new PointPairList();

       

        LineItem myCurve;

        LineItem myCurve1;

        LineItem myCurve2;

        LineItem myCurve3;

        private void Form1_Load(object sender, EventArgs e)

        {

            syszed();

        }

        int a;

        int b;

        double m;

        private void button1_Click(object sender, EventArgs e)

        {

           

            list.Clear();

            list1.Clear();

            list2.Clear();

            list3.Clear();

            i = 0;

            if (!int.TryParse(textBox1.Text, out a))

            {

                MessageBox.Show("填写的a的值不正确", "提示", MessageBoxButtons.OK, MessageBoxIcon.Exclamation);

                textBox1.Select();

                return;

            }

            if (!int.TryParse(textBox2.Text, out b))

            {

                MessageBox.Show("填写的b的值不正确", "提示", MessageBoxButtons.OK, MessageBoxIcon.Exclamation);

                textBox2.Select();

                return;

            }

            m = (a + b) / 2.0;

            timer1.Start();

        }

        public void syszed()

        {

            this.zedGraphControl1.GraphPane.Title.Text = "双曲线图像";//折线图标题

            this.zedGraphControl1.GraphPane.XAxis.Title.Text = "X轴值";//X轴标题

            this.zedGraphControl1.GraphPane.YAxis.Title.Text = "Y轴值";//Y轴标题

            this.zedGraphControl1.GraphPane.YAxis.Title.FontSpec.FontColor = Color.Red;//设置Y轴字体的颜色

            this.zedGraphControl1.GraphPane.Title.FontSpec.FontColor = Color.Gray;//设置标题的颜色

            this.zedGraphControl1.GraphPane.XAxis.Title.FontSpec.FontColor = Color.GreenYellow;//设置X轴的字体颜色

            myCurve = zedGraphControl1.GraphPane.AddCurve("", list, Color.Red, SymbolType.Diamond);

            myCurve.Symbol.Fill = new Fill(Color.Red, Color.Red, Color.Red);//

            myCurve1 = zedGraphControl1.GraphPane.AddCurve("", list1, Color.Red, SymbolType.Diamond);

            myCurve1.Symbol.Fill = new Fill(Color.Red, Color.Red, Color.Red);//

            myCurve2 = zedGraphControl1.GraphPane.AddCurve("", list2, Color.Red, SymbolType.Diamond);

            myCurve2.Symbol.Fill = new Fill(Color.Red, Color.Red, Color.Red);//

            myCurve3 = zedGraphControl1.GraphPane.AddCurve("", list3, Color.Red, SymbolType.Diamond);

            myCurve3.Symbol.Fill = new Fill(Color.Red, Color.Red, Color.Red);//

            this.zedGraphControl1.AxisChange();

            this.zedGraphControl1.Refresh();

        }

        int i = 0;

        double x;

        double f;

        private void timer1_Tick(object sender, EventArgs e)

        {

            this.zedGraphControl1.AxisChange();

            this.zedGraphControl1.Refresh();

            x = a + i * 0.01; f = 0 - x;

            double y = Math.Sqrt((b * b * x * x * 1.0 / a) / a - b * b);

            list.Add(x, y); list2.Add(f, y);

             y = 0-Math.Sqrt((b * b * x * x * 1.0 / a) / a - b * b);

           

            list1.Add(f, y);

            list3.Add(x, y);

            i++;

            if (list.Count > 10000)

            {

                list.RemoveAt(0);

            }

        }

    }

}

下面这两幅图是在实时绘制过程截取两张图片，可以使研究者直观观察出函数变化趋势。