直线与圆弧插补采用DDS的模拟程序

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 MathNet.Numerics;
using MathNet.Numerics.LinearAlgebra.Generic;
using MathNet.Numerics.LinearAlgebra.Double;
using System.Drawing.Drawing2D;
using System.Drawing.Text;


namespace MC.UI
{
    public partial class Form1 : Form
    {
        public Form1()
        {
            InitializeComponent();
        }

        private void button1_Click(object sender, EventArgs e)
        {
            try
            {
                #region 画图指令
                if (string.IsNullOrWhiteSpace(textBox1.Text)) return;
                var lines = textBox1.Lines;
                var gList = new List();
                foreach (var line in lines)
                {
                    if (string.IsNullOrWhiteSpace(line)) continue;
                    var arr = line.Split(",".ToCharArray(), StringSplitOptions.RemoveEmptyEntries);
                    if (arr.Length == 2)
                    {
                        gList.Add(new G(arr[0],arr[1]));
                    }
                }
                #endregion
                pictureBox1.Image = DrawImg(gList);
                tabControl1.SelectedIndex = 0;
            }
            catch (Exception ex)
            {
                MessageBox.Show(ex.Message);
            }

        }
        private void button2_Click(object sender, EventArgs e)
        {
            try
            {
                #region 直线插补,倍率10

                var gList = new List();
                int x = 0, y = 0;
                int len = 2;//每步长度
                int xe=400,ye=150;

                var xe1 = xe / len;
                var ye1 = ye / len;

                var max = Math.Max(xe1, ye1);
                var n =Math.Ceiling( Math.Log(max, 2));
                Console.WriteLine("n:" + n);
                var periodNum = Math.Pow(2.0, n);
                double sX=0, sY = 0;

              
                for (int step = 0; step < periodNum; step++)
                {
                    sX += xe1;
                    sY += ye1;
                    bool xOver = false;
                    bool yOver = false;
                    if (sX >= periodNum)
                    {
                        //X累加器溢出
                        sX -= periodNum;
                        xOver = true;
                    }
                    if (sY >= periodNum)
                    {
                        //Y累加器溢出 
                        sY -= periodNum;
                        yOver = true;
                    }
                
                    if (xOver)
                    {
                        x = x + len;
                    }
                    if (yOver)
                    {
                        y = y + len;
                    }
                    if (xOver || yOver)
                    {
                        gList.Add(new G(x.ToString(), y.ToString()));
                    }
                }

                #endregion
                pictureBox1.Image = DrawImg(gList);
                tabControl1.SelectedIndex = 0;
            }
            catch (Exception ex)
            {
                MessageBox.Show(ex.Message);
            }
        }

        private void button3_Click(object sender, EventArgs e)
        {
            try
            {
                #region 圆弧插补,第一象限逆时针圆

                var gList = new List();
                
                
                int x0=400,y0=0;
                int xe=0, ye=400;
                int len = 1;//每步长度
                int xi = x0, yi = y0;
                //移动到圆弧开始点
                gList.Add(new G(x0.ToString(),y0.ToString()));
                int xe1 = xe / len, ye1 = ye / len;
                int x01 = x0 / len, y01 = y0 / len;

                var max =Math.Max( Math.Max(xe1, ye1),Math.Max(x01,y01));
                var n = Math.Ceiling(Math.Log(max, 2));
                Console.WriteLine("n:" + n);
                var periodNum = Math.Pow(2.0, n);
                double sX = 0, sY = 0;


                while (!( Math.Abs(xe-xi)<=len && Math.Abs(ye-yi)<=len ))
                {

                    bool xOver = false;
                    bool yOver = false;
                    sX += yi/len;
                    sY += xi/len;

                    if (sX >= periodNum)
                    {
                        //X累加器溢出
                        sX -= periodNum;
                        xi = xi - len;
                        xOver = true;
                    }
                    if (sY >= periodNum)
                    {
                        //Y累加器溢出 
                        sY -= periodNum;
                        yi = yi + len;
                        yOver = true;
                    }


                    if (xOver || yOver)
                    {
                        gList.Add(new G(xi.ToString(), yi.ToString()));
                    }
                    else
                    {
                        //两个坐标都没变化
                    }
    
                    

                }

                #endregion
                pictureBox1.Image = DrawImg(gList);
                tabControl1.SelectedIndex = 0;
            }
            catch (Exception ex)
            {
                MessageBox.Show(ex.Message);
            }
        }
        #region
        private static Matrix<double> _M = null;
        public static Point TransCoordinate(Point p)
        {
            if (_M == null)
            {
                #region
                //x,y,z-- x由左到右,y由上到下,z由屏幕向外坐标，
                //平移到600,600,然后绕y轴转180度的坐标转换矩阵
                double[,] a =
            {
                {1 ,  0  ,0  ,600},
                {0 , -1  ,0  ,600},
                {0 ,  0  ,-1 , 0 },
                {0 ,  0  ,0  , 1 } 
            };
                _M = DenseMatrix.OfArray(a);
                #endregion
            }

            var B = DenseVector.OfEnumerable(new double[] { p.X, p.Y, 0, 1 });
            var C = _M.Multiply(B);
            return new Point((int)C[0], (int)C[1]);
        }
        private static Point P(int x, int y)
        {
            return TransCoordinate(new Point(x, y));

        }
        public static Bitmap DrawImg(List gList)
        {
            int w = 1200;
            int h = 1200;
            var bmp = new Bitmap(w, h);
            var g = Graphics.FromImage(bmp);

            g.SmoothingMode = SmoothingMode.AntiAlias; //使绘图质量最高，即消除锯齿
            g.InterpolationMode = InterpolationMode.HighQualityBicubic;
            g.CompositingQuality = CompositingQuality.HighQuality;
            g.TextRenderingHint = TextRenderingHint.ClearTypeGridFit;
            g.FillRectangle(new SolidBrush(Color.White), 0, 0, w, h);

            #region 定义画笔
            var pen0 = new Pen(Brushes.AliceBlue, 0.1f);
            pen0.DashStyle = DashStyle.DashDot;
            pen0.Color = Color.Black;

            var pen1 = new Pen(Brushes.AliceBlue, 0.5f);
            pen1.Color = Color.Black;

            var pen1_red = new Pen(Brushes.AliceBlue, 0.5f);
            pen1_red.Color = Color.Red;

            var pen2 = new Pen(Brushes.AliceBlue, 1);
            pen2.Color = Color.Black;

            var pen10 = new Pen(Brushes.AliceBlue, 10f);
            pen10.Color = Color.Black;

            var font = new Font("宋体", 12, FontStyle.Regular);
            var font10 = new Font("宋体", 10, FontStyle.Regular);
            var font8 = new Font("宋体", 8, FontStyle.Regular);
            var brush = new SolidBrush(Color.Black);
            var brush_red = new SolidBrush(Color.Red);
            #endregion
            int x0 = 0;
            int y0 = 0;
            int x1=0;
            int y1=0;
            foreach (var it in gList)
            {
                if (it.X == "x")
                {
                    x1 = x0;
                }
                else
                {
                    x1 = int.Parse(it.X);
                }
                if (it.Y == "y")
                {
                    y1 = y0;
                }
                else
                {
                    y1 = int.Parse(it.Y);
                }
                g.DrawLine(pen1, P(x0,y0), P(x1,y1));
                x0 = x1;
                y0 = y1;
            }
            return bmp;
        }
        public class G
        {
            public String X { get; set; }
            public String Y { get; set; }

            public G(String x, String y)
            {
                X=x;
                Y=y;

            }
        }
        #endregion

        


    }
}

 代码下载 ：

https://files.cnblogs.com/files/wdfrog/MC.UI.rar