[2015][Quiz][Week07]Quiz04 - 40173044H

[2015][Quiz][Week07]Quiz04 - 40075040H

按我顯示

PinBoard

public class PinBoard
    {
        public int rows ;
        public int cols;
        public double xInterval;
        public double yInterval;
        public MyPoint[,] PinArray = null;
        public PinBoard(int row,int col,double deltaX,double deltaY)
        {
            rows = row ;
            cols = col;
            xInterval = deltaX;
            yInterval = deltaY;
        }
        public void createPins()
        {
            PinArray=new MyPoint[rows ,cols];
            for (int i = 0; i < rows ; i++)
                for (int j = 0; j < cols; j++)
                    PinArray[i, j] = new MyPoint();
        }
        public void setPinsPositions()
        {
            for(int i=0 ; i < rows ; i++)
                for(int j=0 ; j < cols ; j++)
                {
                    PinArray[i, j].x = xInterval * j;
                    PinArray[i, j].y = yInterval * i;
                }
        }
    }

Point

public class MyPoint
    {
        public double x;
        public double y;
        public double distanceTo(MyPoint p)
        {
            return (Math.Sqrt((x - p.x) * (x - p.x) + (y - p.y) * (y - p.y)));
        }
    }

Triangle

public class triangle
    { 
        public MyPoint[] PointArray = new MyPoint[3];
        public triangle(MyPoint p1,MyPoint p2,MyPoint p3)
        {
            PointArray[0] = p1;
            PointArray[1] = p2;
            PointArray[2] = p3;
        }
        public double distanceBetweenPoints(double x1,double y1,double x2,double y2)
        {
            return((Math.Sqrt((x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2))));
        }
        public void setPointArray(MyPoint[] pArray)
        {
            for (int i = 0; i < 3; i++)
                pArray[i] = new MyPoint();
        }
        public double perimeter()
        {
            double s1 = PointArray[0].distanceTo(PointArray[1]);
            double s2 = PointArray[1].distanceTo(PointArray[2]);
            double s3 = PointArray[2].distanceTo(PointArray[0]);
            return s1 + s2 + s3;
        }
        public double area()
        {
            double s1 = PointArray[0].distanceTo(PointArray[1]);
            double s2 = PointArray[1].distanceTo(PointArray[2]);
            double s3 = PointArray[2].distanceTo(PointArray[0]);
            double s = (s1 + s2 + s3) / 2;
            return(Math.Sqrt(s*(s-s1)*(s-s2)*(s-s3)));
        }
        public bool isValid()
        {

            double s1 = PointArray[0].distanceTo(PointArray[1]);
            double s2 = PointArray[1].distanceTo(PointArray[2]);
            double s3 = PointArray[2].distanceTo(PointArray[0]);
            return ((s1 + s2 > s3) || (s3 + s2 > s1) || (s1 + s3 > s2));
        }
        public double radiusOfCircle()
        {
            double a = PointArray[0].distanceTo(PointArray[1]);
            double b = PointArray[1].distanceTo(PointArray[2]);
            double c = PointArray[2].distanceTo(PointArray[0]);
            double cosa=(b*b+c*c-a*a)/(2*b*c);
            double sina=Math.Sqrt(1-cosa*cosa);
            return 0.5*a/sina;
        }
    }

Forms

 public partial class Form1 : Form
    {
        public String mess;
        public PinBoard MyBoard;
        public triangle tri;
        public Random rnd=new Random();
        public Form1()
        {
            InitializeComponent();
        }

        private void btnGenerate_Click(object sender, EventArgs e)
        {
            MyBoard = new PinBoard(Convert.ToInt32(txtRow.Text), Convert.ToInt32(txtColumn.Text),Convert.ToDouble( txtXinterval.Text),Convert.ToDouble( txtYinterval.Text));
            MyBoard.createPins();
            MyBoard.setPinsPositions();
            txtP1Col.Text = rnd.Next( Convert.ToInt32(txtColumn.Text)).ToString();
            txtP2Col.Text = rnd.Next(Convert.ToInt32(txtColumn.Text)).ToString();
            txtP3Col.Text = rnd.Next(Convert.ToInt32(txtColumn.Text)).ToString();

            txtP1Row.Text = rnd.Next(Convert.ToInt32(txtRow.Text)).ToString();
            txtP2Row.Text = rnd.Next(Convert.ToInt32(txtRow.Text)).ToString();
            txtP3Row.Text = rnd.Next(Convert.ToInt32(txtRow.Text)).ToString();

            txtP1X.Text = (Convert.ToInt32(txtP1Col.Text) * MyBoard.xInterval).ToString();
            txtP2X.Text = (Convert.ToInt32(txtP2Col.Text) * MyBoard.xInterval).ToString();
            txtP3X.Text = (Convert.ToInt32(txtP3Col.Text) * MyBoard.xInterval).ToString();

            txtP1Y.Text = (Convert.ToInt32(txtP1Row.Text) * MyBoard.yInterval).ToString();
            txtP2Y.Text = (Convert.ToInt32(txtP2Row.Text) * MyBoard.yInterval).ToString();
            txtP3Y.Text = (Convert.ToInt32(txtP3Row.Text) * MyBoard.yInterval).ToString();
        }

        private void btnCalculate_Click(object sender, EventArgs e)
        {
            MyPoint P1=new MyPoint();
            MyPoint P2 = new MyPoint();
            MyPoint P3 = new MyPoint();
            P1.x = Convert.ToDouble(txtP1X.Text);
            P1.y = Convert.ToDouble(txtP1Y.Text);
            P2.x = Convert.ToDouble(txtP2X.Text);
            P2.y = Convert.ToDouble(txtP2Y.Text);
            P3.x = Convert.ToDouble(txtP3X.Text);
            P3.y = Convert.ToDouble(txtP3Y.Text);
            tri = new triangle(P1,P2,P3);
            mess+=Environment.NewLine;
            mess += "周長是:";
            mess += tri.perimeter().ToString();
            mess += (Environment.NewLine+"面積是:");
            mess += tri.area().ToString();
            mess += Environment.NewLine+"外接圓半徑是:";
            mess += tri.radiusOfCircle().ToString();
            txtDisplay.Text = mess;
        }
    }

[2015][Quiz][Week07]Quiz04 - 40073049H

[2015][Quiz][Week07]Quiz04-40173032H

[2015][Quiz][Week07]Quiz04-40173008H

using System;
using System.Collections.Generic;
using System.ComponentModel;
using System.Data;
using System.Drawing;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using System.Windows.Forms;

namespace Quiz4
{
    public partial class pinboard : Form
    {
        PinBoard board = new PinBoard(); //建立板子
        
        public pinboard()
        {

            InitializeComponent();
        }

        private void btn_calculate_Click(object sender, EventArgs e)
        {


            Triangle tri = new Triangle();
            int[] row = new int[3];
            int[] col = new int[3];
            col[0] = int.Parse(txtCol1.Text);
            row[0] = int.Parse(txtRow1.Text);
            col[1] = int.Parse(txtCol2.Text);
            row[1] = int.Parse(txtRow2.Text);
            col[2] = int.Parse(txtCol3.Text);
            row[2] = int.Parse(txtRow3.Text);
            for (int i = 0; i <= 2; i++)
            {
                tri.pointArray[i] = board.pinArray[row[i], col[i]];
            }
            board.SetPinsPosition();
            txtX1.Text = tri.pointArray[0].xCoordinate.ToString();
            txtY1.Text = tri.pointArray[0].yCoordinate.ToString();
            txtX2.Text = tri.pointArray[1].xCoordinate.ToString();
            txtY2.Text = tri.pointArray[1].yCoordinate.ToString();
            txtX3.Text = tri.pointArray[2].xCoordinate.ToString();
            txtY3.Text = tri.pointArray[2].yCoordinate.ToString();
            if (!tri.ConditionsOfTriangle())
                txt_Display.AppendText("以上三點無法構成三角形，重新產生三點\n");
            double Perimeter=tri.Perimeter();
            txt_Display.AppendText(DisplayStringPerimeter(Perimeter));

            double Area = tri.Area();
            txt_Display.AppendText(DisplayStringArea(Area));


            double radius = tri.RadiusOfCircumcircle();
            txt_Display.AppendText(DisplayStringradius(radius));

        }

        private string DisplayStringValue(double Value)
        {
            string StrDisplay = "";
            StrDisplay += Value;
            StrDisplay += "\n";
            return StrDisplay;
        }
        private string DisplayStringPerimeter(double Perimeter) 
        {
            string StrDisplay = "";
            StrDisplay += "周長";
            StrDisplay += Perimeter;
            StrDisplay += "\n";
            return StrDisplay;
        }
        private string DisplayStringArea(double Area)
        {
            string StrDisplay = "";
            StrDisplay += "面積";
            StrDisplay += Area;
            StrDisplay += "\n";
            return StrDisplay;
        }
        private string DisplayStringradius(double radius)
        {
            string StrDisplay = "";
            StrDisplay += "外接圓半徑";
            StrDisplay += radius;
            StrDisplay += "\n";
            return StrDisplay;
        }



        private void button1_Click(object sender, EventArgs e)
        {
            board.rows = int.Parse(txt_rows.Text);
            board.cols = int.Parse(txt_cols.Text);
            board.rowInterval = double.Parse(txt_rowInterval.Text);
            board.colInterval = double.Parse(txt_colInterval.Text);
            Triangle tri = new Triangle();   //建立三角形
            Random rand = new Random();      //產生亂數
            board.CreatePins();

            int[] row = new int[3];
            int[] col = new int[3];
            for(int i=0;i<=2;i++)
            {
                row[i] = rand.Next(board.rows); 
                col[i] = rand.Next(board.cols);
                tri.pointArray[i] = board.pinArray[row[i], col[i]];

            }


            txtCol1.Text = col[0].ToString();
            txtRow1.Text = row[0].ToString();
            txtCol2.Text = col[1].ToString();
            txtRow2.Text = row[1].ToString();
            txtCol3.Text = col[2].ToString();
            txtRow3.Text = row[2].ToString(); 

            board.SetPinsPosition();
            txtX1.Text=tri.pointArray[0].xCoordinate.ToString();
            txtY1.Text=tri.pointArray[0].yCoordinate.ToString();
            txtX2.Text=tri.pointArray[1].xCoordinate.ToString();
            txtY2.Text=tri.pointArray[1].yCoordinate.ToString();
            txtX3.Text=tri.pointArray[2].xCoordinate.ToString();
            txtY3.Text=tri.pointArray[2].yCoordinate.ToString();
            if (!tri.ConditionsOfTriangle())
                txt_Display.AppendText("以上三點無法構成三角形，重新產生三點\n");
            


        }





 



    }
}

Point

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace Quiz4
{
    class Point
    {
        public double xCoordinate;
        public double yCoordinate;

        public double DistanceBetweenTwoPoints(Point pin) //計算該點和某點之間的距離
        {
            double Distance = Math.Sqrt(Math.Pow((pin.xCoordinate - this.xCoordinate), 2) + Math.Pow((pin.yCoordinate - this.yCoordinate), 2));
            return Distance;
        }
    }
}

PinBoard

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace Quiz4
{
    class PinBoard
    {
        public int rows = 0;
        public int cols = 0;
        public Double rowInterval = 0;
        public Double colInterval = 0;
        public Point[,] pinArray = null;

        public void CreatePins() //產生矩陣各點之位置
        {
            pinArray = new Point[rows, cols];
            for (int i = 0; i < rows; i++)
            {
                for (int j = 0; j < cols; j++)
                {
                    pinArray[i, j] = new Point();

                }
            }
        }

        public void SetPinsPosition() //依行列間距計算出各點x.y之座標
        {
            for (int i = 0; i < rows; i++)
            {
                for (int j = 0; j < cols; j++)
                {
                    pinArray[i, j].yCoordinate = (i * rowInterval);
                    pinArray[i, j].xCoordinate = (j * colInterval);
                }
            }
        }
    }
}

Triangle

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace Quiz4
{
    class Triangle
    {
        public Point[] pointArray = new Point[3]; //建立三角形的三個點

        public bool ConditionsOfTriangle()//判斷是否符合構成三角形的條件
        {
            double lengthA = pointArray[0].DistanceBetweenTwoPoints(pointArray[1]);
            double lengthB = pointArray[1].DistanceBetweenTwoPoints(pointArray[2]);
            double lengthC = pointArray[2].DistanceBetweenTwoPoints(pointArray[0]);
            double temp = 0;


            while (true)
            {
                if (lengthB > lengthA) //將lengthA變為最長邊
                {
                    temp = lengthB;
                    lengthB = lengthA;
                    lengthA = temp;
                }
                else if (lengthC > lengthB)//lengthC變為最短邊
                {
                    temp = lengthC;
                    lengthC = lengthB;
                    lengthB = temp;
                }
                else
                {
                    break;
                }
            }
            if (lengthA < (lengthB + lengthC)) //三角形兩邊和大於第三邊
            {
                return true;
            }
            else
            {
                return false;
            }
        }

        public double Perimeter() //計算三角形的周長
        {
            //由DistanceTo()計算兩點間的距離算出三角形三邊之邊長
            double lengthA = pointArray[0].DistanceBetweenTwoPoints(pointArray[1]); 
            double lengthB = pointArray[1].DistanceBetweenTwoPoints(pointArray[2]);
            double lengthC = pointArray[2].DistanceBetweenTwoPoints(pointArray[0]);

            double Perimeter = lengthA + lengthB + lengthC; 
            return Perimeter;
        }

        public double Area()
        {
            double lengthA = pointArray[0].DistanceBetweenTwoPoints(pointArray[1]); 
            double lengthB = pointArray[1].DistanceBetweenTwoPoints(pointArray[2]); 
            double lengthC = pointArray[2].DistanceBetweenTwoPoints(pointArray[0]);

            double Perimeter = lengthA + lengthB + lengthC; 
            //以海龍公式計算三角形面積
            double Area = Math.Sqrt((0.5 * Perimeter) * (0.5 * Perimeter - lengthA) * (0.5 * Perimeter - lengthB) * (0.5 * Perimeter - lengthC));
            return Area;
        }

               public double RadiusOfCircumcircle()
        {
            double lengthA = pointArray[0].DistanceBetweenTwoPoints(pointArray[1]); 
            double lengthB = pointArray[1].DistanceBetweenTwoPoints(pointArray[2]); 
            double lengthC = pointArray[2].DistanceBetweenTwoPoints(pointArray[0]);

            //由餘弦公式計算出角A之餘弦值
            double cosA = (lengthB * lengthB + lengthC * lengthC - lengthA * lengthA) / (2 * lengthB * lengthC);
            double sinA = Math.Sqrt(1 - cosA * cosA);
            //求得外接圓半徑
            double radius = 0.5 * lengthA / sinA; 
            return radius;
        }
    }
}

Program

using System;
using System.Collections.Generic;
using System.Linq;
using System.Threading.Tasks;
using System.Windows.Forms;

namespace Quiz4
{
    static class Program
    {
        /// 

        /// 應用程式的主要進入點。
        /// 
        [STAThread]
        static void Main()
        {
            Application.EnableVisualStyles();
            Application.SetCompatibleTextRenderingDefault(false);
            Application.Run(new pinboard());
        }
    }
}

[2015][Quiz][Week07]Quiz04-60373006H

namespace Quiz_4_9
{
    public class Point//Point 類別
    {
        public double PointX;
        public double PointY;

        //計算輸入點與成員變數的距離
        public double DistanceTo(Point Input)
        {
            return Math.Sqrt((Input.PointX - PointX) * (Input.PointX - PointX) + (Input.PointY - PointY) * (Input.PointY - PointY));
        }
    }
}

 namespace Quiz_4_9
{
    class PinBoard //釘版類別
    {

        public int Row;//列
        public int Column;//行
        public double RowInterval;
        public double ColumnInterval;
        public Point[,] PinArray;

      
        public void CreatPinArray()
        {
            PinArray = new Point[Row, Column];
            for (int i = 0; i < Row; i++)
            {
                for (int j = 0; j < Column; j++)
                    PinArray[i, j] = new Point();
            }
        }
        public void SetPointPostion()
        {
            for (int i = 0; i < Row; )
            {
                for (double ValueRow = 0; i < Row; i++, ValueRow += RowInterval)
                {
                    for (int j = 0; j < Column; )
                    {
                        for (double ValueCol = 0; j < Column; j++, ValueCol += ColumnInterval)
                        {
                            PinArray[i, j].PointX = ValueRow;
                            PinArray[i, j].PointY = ValueCol;
                        }
                    }
                }
            }
        }
    }
}

namespace Quiz_4_9
{
    class Triangle //三角形類別
    {
        //成員三點
        public Point[] PointofTriangle = new Point[3];

        public bool IsRight()
        {
            double s1 = PointofTriangle[0].DistanceTo(PointofTriangle[1]);
            double s2 = PointofTriangle[1].DistanceTo(PointofTriangle[2]);
            double s3 = PointofTriangle[0].DistanceTo(PointofTriangle[2]);
            if ((s1 + s2 > s3) && (s2 + s3 > s1) && (s1 + s3 > s2))
                return true;
            else
                return false;
        }//判斷三角形是否合法
        public double Preimeter()
        {
            double s1 = PointofTriangle[0].DistanceTo(PointofTriangle[1]);
            double s2 = PointofTriangle[1].DistanceTo(PointofTriangle[2]);
            double s3 = PointofTriangle[0].DistanceTo(PointofTriangle[2]);
            return (s1 + s2 + s3);
        }//周長
        public double Area()
        {
            double s1 = PointofTriangle[0].DistanceTo(PointofTriangle[1]);
            double s2 = PointofTriangle[1].DistanceTo(PointofTriangle[2]);
            double s3 = PointofTriangle[2].DistanceTo(PointofTriangle[0]);
            double s = (s1 + s2 + s3) / 2;
            return Math.Sqrt(s * (s - s1) * (s - s2) * (s - s3));
        }//面積
        public double RadiusOfCircumcircle()
        {
            double a = PointofTriangle[0].DistanceTo(PointofTriangle[1]);
            double b = PointofTriangle[1].DistanceTo(PointofTriangle[2]);
            double c = PointofTriangle[2].DistanceTo(PointofTriangle[0]);
            double cosAlpha = (b * b + c * c - a * a) / (2 * b * c);
            double sinAlpha = Math.Sqrt(1 - cosAlpha * cosAlpha);
            return (0.5 * a / sinAlpha);
        }//外接圓半徑
    }
}

namespace Quiz_4_9
{
    public partial class Form1 : Form
    {
        private PinBoard board;
        Triangle triangle;
        Random rand;

        public Form1()
        {
            InitializeComponent();
            board = new PinBoard();
            triangle = new Triangle();
            rand = new Random();
        }

        //btn_GenerateTriangle功能創造PinArray
        private void btn_GenerateTriangle_Click(object sender, EventArgs e)
        {
            if (txt_RowKeyin.Text != "" && txt_ColumnKeyin.Text != "" && txt_RowIntervalKeyin.Text != "" && txt_ColumnIntervalKeyin.Text != "")
            {
                //讀取txt
                board.Row = Convert.ToInt16(txt_RowKeyin.Text);
                board.Column = Convert.ToInt16(txt_ColumnKeyin.Text);
                board.RowInterval = Convert.ToDouble(txt_RowIntervalKeyin.Text);
                board.ColumnInterval = Convert.ToDouble(txt_ColumnIntervalKeyin.Text);
                //創造PinBoard
                board.CreatPinArray();
                board.SetPointPostion();
                PrintPoint();
            }
            else
                MessageBox.Show("缺參數"); 
        }

        //亂數選擇三點作為三角形，並將三點塞進Triangle類別中，同時print出來
        private void PrintPoint()
        {
            //亂數選點 && 塞進txt
            txt_Point1Row.Text = rand.Next(board.Row).ToString();
            txt_Point1Column.Text = rand.Next(board.Column).ToString();
            txt_Point2Row.Text = rand.Next(board.Row).ToString();
            txt_Point2Column.Text = rand.Next(board.Column).ToString();
            txt_Point3Row.Text = rand.Next(board.Row).ToString();
            txt_Point3Column.Text = rand.Next(board.Column).ToString();
            //用選點結果，提出PinBoard點，並塞進Triangle類別
            triangle.PointofTriangle[0] = board.PinArray[Convert.ToInt16(txt_Point1Row.Text), Convert.ToInt16(txt_Point1Column.Text)];
            triangle.PointofTriangle[1] = board.PinArray[Convert.ToInt16(txt_Point2Row.Text), Convert.ToInt16(txt_Point2Column.Text)];
            triangle.PointofTriangle[2] = board.PinArray[Convert.ToInt16(txt_Point3Row.Text), Convert.ToInt16(txt_Point3Column.Text)];
            //顯示三角形的三點
            txt_Point1X.Text = triangle.PointofTriangle[0].PointX.ToString();
            txt_Point1Y.Text = triangle.PointofTriangle[0].PointY.ToString();
            txt_Point2X.Text = triangle.PointofTriangle[1].PointX.ToString();
            txt_Point2Y.Text = triangle.PointofTriangle[1].PointY.ToString();
            txt_Point3X.Text = triangle.PointofTriangle[2].PointX.ToString();
            txt_Point3Y.Text = triangle.PointofTriangle[2].PointY.ToString();
        }

        //將Triangle類別中的數字提出來做運算，並放進txtbox裡。
        private void btn_Calulate_Click(object sender, EventArgs e)
        {
            //判斷三點是否為空
            if (txt_Point1X.Text != "" && txt_Point1Y.Text != "" && txt_Point2X.Text != "" &&
                txt_Point2Y.Text != "" && txt_Point3X.Text != "" && txt_Point3Y.Text != "")
            {//判斷手動輸入數字是否超過板子大小
                if (Convert.ToInt16(txt_Point1Row.Text) < board.Row && Convert.ToInt16(txt_Point1Column.Text) < board.Column &&
                    Convert.ToInt16(txt_Point2Row.Text) < board.Row && Convert.ToInt16(txt_Point2Column.Text) < board.Column &&
                    Convert.ToInt16(txt_Point3Row.Text) < board.Row && Convert.ToInt16(txt_Point3Column.Text) < board.Column)
                {
                    txt_ResultPrint.Text = "";
                    //為手動輸入所以必須再寫一次
                    triangle.PointofTriangle[0] = board.PinArray[Convert.ToInt16(txt_Point1Row.Text), Convert.ToInt16(txt_Point1Column.Text)];
                    triangle.PointofTriangle[1] = board.PinArray[Convert.ToInt16(txt_Point2Row.Text), Convert.ToInt16(txt_Point2Column.Text)];
                    triangle.PointofTriangle[2] = board.PinArray[Convert.ToInt16(txt_Point3Row.Text), Convert.ToInt16(txt_Point3Column.Text)];
                    if (triangle.IsRight() == true)
                    {
                        txt_ResultPrint.Text += "周長:";
                        txt_ResultPrint.Text += triangle.Preimeter().ToString() + Environment.NewLine;
                        txt_ResultPrint.Text += "面積:";
                        txt_ResultPrint.Text += triangle.Area().ToString() + Environment.NewLine;
                        txt_ResultPrint.Text += "外接圓半徑:";
                        txt_ResultPrint.Text += triangle.RadiusOfCircumcircle().ToString() + Environment.NewLine;
                    }
                    else
                        txt_ResultPrint.Text = "the triangle is illegal";
                }
                else
                    MessageBox.Show("輸入數字超過板子大小");
            }
            else
                MessageBox.Show("缺參數");
        }

    }
}

[2015][Quiz][Week07]Quiz04-R02945022

Program為主程式
Form1為視窗程式，包含輸入與輸出
Point為類別，計算兩點距離
PinBoard為類別，產生格點與格點座標
Triangle為類別，產生triangle三點座標，計算周長、面積與外接圓半徑

[2015][Quiz][Week07] Quiz4 - 40173027H

程式分為五個部分
Form1為視窗程式
Program為主程式
Point為類別 點的x.y座標和到另一點的距離
PinBoard為類別 板子的大小.間距.創造點和設定點的位置
Triangle為類別 三個大頭針的位置.計算是否構成三角形.其周長.面積.外接圓半徑

Form1

using System;
using System.Collections.Generic;
using System.ComponentModel;
using System.Data;
using System.Drawing;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using System.Windows.Forms;



namespace Quiz4
{
    public partial class Form1 : Form
    {
        PinBoard board = new PinBoard(); //建立板子

        public Form1()
        {  
            InitializeComponent();
        }

        private void label3_Click(object sender, EventArgs e)
        {

        }

        private void btnTriangle_Click(object sender, EventArgs e)
        {
            Triangle tri = new Triangle();   //建立三角形
            Random rand = new Random();      //產生亂數

            board.rows = int.Parse(txtRow.Text);
            board.columns = int.Parse(txtColumn.Text);
            board.rowInterval = double.Parse(txtXInterval.Text);
            board.columnInterval = double.Parse(txtYInterval.Text);

            board.CreatePins();
            board.SetPinsPosition();

            for (int i = 0; i < 3; i++)
            {
                tri.pointArray[i] = board.pinArray[rand.Next(board.rows), rand.Next(board.columns)];         //以亂數產生三角形的三個點
            }
            txtP1Row.Text = (Convert.ToString(tri.pointArray[0].xCoordinate / board.rowInterval));
            txtP1Col.Text = (Convert.ToString(tri.pointArray[0].yCoordinate / board.columnInterval));
            txtP1XInt.Text = (Convert.ToString(tri.pointArray[0].xCoordinate));
            txtP1YInt.Text = (Convert.ToString(tri.pointArray[0].yCoordinate));
            txtP2Row.Text = (Convert.ToString(tri.pointArray[1].xCoordinate / board.rowInterval));
            txtP2Col.Text = (Convert.ToString(tri.pointArray[1].yCoordinate / board.columnInterval));
            txtP2XInt.Text = (Convert.ToString(tri.pointArray[1].xCoordinate));
            txtP2YInt.Text = (Convert.ToString(tri.pointArray[1].yCoordinate));
            txtP3Row.Text = (Convert.ToString(tri.pointArray[2].xCoordinate / board.rowInterval));
            txtP3Col.Text = (Convert.ToString(tri.pointArray[2].yCoordinate / board.columnInterval));
            txtP3XInt.Text = (Convert.ToString(tri.pointArray[2].xCoordinate));
            txtP3YInt.Text = (Convert.ToString(tri.pointArray[2].yCoordinate));
        }

        private void btnCalculate_Click(object sender, EventArgs e)
        {
            Triangle tri = new Triangle();   //建立三角形

            board.rows = int.Parse(txtRow.Text);
            board.columns = int.Parse(txtColumn.Text);
            board.rowInterval = double.Parse(txtXInterval.Text);
            board.columnInterval = double.Parse(txtYInterval.Text);

            board.CreatePins();
            board.SetPinsPosition();

            for (int i = 0; i < 3; i++)
            {
                tri.pointArray[i] = new Point(); 
            }

            tri.pointArray[0].xCoordinate = (int.Parse(txtP1Row.Text)) * board.rowInterval;
            tri.pointArray[0].yCoordinate = (int.Parse(txtP1Col.Text)) * board.columnInterval;
            tri.pointArray[1].xCoordinate = (int.Parse(txtP2Row.Text)) * board.rowInterval;
            tri.pointArray[1].yCoordinate = (int.Parse(txtP2Col.Text)) * board.columnInterval;
            tri.pointArray[2].xCoordinate = (int.Parse(txtP3Row.Text)) * board.rowInterval;
            tri.pointArray[2].yCoordinate = (int.Parse(txtP3Col.Text)) * board.columnInterval;
            txtP1XInt.Text = (Convert.ToString(tri.pointArray[0].xCoordinate));
            txtP1YInt.Text = (Convert.ToString(tri.pointArray[0].yCoordinate));
            txtP2XInt.Text = (Convert.ToString(tri.pointArray[1].xCoordinate));
            txtP2YInt.Text = (Convert.ToString(tri.pointArray[1].yCoordinate));
            txtP3XInt.Text = (Convert.ToString(tri.pointArray[2].xCoordinate));
            txtP3YInt.Text = (Convert.ToString(tri.pointArray[2].yCoordinate));

            if (tri.IsRight())
            {
                txtPrint.Text = null;
                txtPrint.AppendText("三角形的周長是：" + Convert.ToString(tri.Perimeter()) + "\n");
                txtPrint.AppendText("三角形的面積是：" + Convert.ToString(tri.Area()) + "\n");
                txtPrint.AppendText("三角形的外接圓半徑是：" + Convert.ToString(tri.RadiusOfCircumcircle()) + "\n");
            }
            else 
            {
                txtPrint.Text = null;
                txtPrint.AppendText("產生的三點不構成三角形！\n");
            }
        }

        private void lblTriXInterval_Click(object sender, EventArgs e)
        {

        }
    }
}

Program

using System;
using System.Collections.Generic;
using System.Linq;
using System.Threading.Tasks;
using System.Windows.Forms;

namespace Quiz4
{
    static class Program
    {
        /// 

        /// 應用程式的主要進入點。
        /// 
        [STAThread]
        static void Main()
        {
            Application.EnableVisualStyles();
            Application.SetCompatibleTextRenderingDefault(false);
            Application.Run(new Form1());
        }
    }
}

Point

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace Quiz4
{
    class Point
    {
        public double xCoordinate;
        public double yCoordinate;

        public double DistanceTo(Point pin) //計算該點和某點之間的距離
        {
            double Distance = Math.Sqrt(Math.Pow((pin.xCoordinate - xCoordinate), 2) + Math.Pow((pin.yCoordinate - yCoordinate), 2));
            return Distance;
        }
    }
}

PinBoard

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace Quiz4
{
    class PinBoard
    {
        public int rows = 10;
        public int columns = 10;
        public Double rowInterval = 10;
        public Double columnInterval = 10;
        public Point[,] pinArray = null;

        public void CreatePins() //產生矩陣各點之位置
        {
            pinArray = new Point[rows, columns];
            for (int i = 0; i < rows; i++)
            {
                for (int j = 0; j < columns; j++)
                {
                    pinArray[i, j] = new Point();
                }
            }
        }

        public void SetPinsPosition() //依行列間距計算出各點x.y之座標
        {
            for (int i = 0; i < rows; i++)
            {
                for (int j = 0; j < columns; j++)
                {
                    pinArray[i, j].xCoordinate = (i * rowInterval);
                    pinArray[i, j].yCoordinate = (j * columnInterval);
                }
            }
        }
    }
}

Triangle

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace Quiz4
{
    class Triangle
    {
        public Point[] pointArray = new Point[3]; //建立三角形的三個點

        public double Perimeter() //計算三角形的周長
        {
            double length1 = pointArray[0].DistanceTo(pointArray[1]); //由DistanceTo()計算兩點間的距離
            double length2 = pointArray[1].DistanceTo(pointArray[2]); //算出三角形三邊之邊長
            double length3 = pointArray[2].DistanceTo(pointArray[0]);

            double Perimeter = length1 + length2 + length3; //三邊和為周長
            return Perimeter;
        }

        public double Area()
        {
            double length1 = pointArray[0].DistanceTo(pointArray[1]); //由DistanceTo()計算兩點間的距離
            double length2 = pointArray[1].DistanceTo(pointArray[2]); //算出三角形三邊之邊長
            double length3 = pointArray[2].DistanceTo(pointArray[0]);

            double Perimeter = length1 + length2 + length3; //已求得三邊長度以海龍公式計算三角形面積
            double Area = Math.Sqrt((0.5 * Perimeter) * (0.5 * Perimeter - length1) * (0.5 * Perimeter - length2) * (0.5 * Perimeter - length3));
            return Area;
        }

        public bool IsRight()
        {
            double length1 = pointArray[0].DistanceTo(pointArray[1]); //由DistanceTo()計算兩點間的距離
            double length2 = pointArray[1].DistanceTo(pointArray[2]); //算出三角形三邊之邊長
            double length3 = pointArray[2].DistanceTo(pointArray[0]);
            double temp = 0;
            double copyLength1 = length1; //複製三邊邊長以便依大小排序
            double copyLength2 = length2;
            double copyLength3 = length3;

            while (true)
            {
                if (copyLength2 > copyLength1) //將copyLength1變為最長邊
                {
                    temp = copyLength2;
                    copyLength2 = copyLength1;
                    copyLength1 = temp;
                }
                else if (copyLength3 > copyLength2)
                {
                    temp = copyLength3;
                    copyLength3 = copyLength2;
                    copyLength2 = temp;
                }
                else
                {
                    break;
                }
            }
            if (copyLength1 < (copyLength2 + copyLength3)) //三角形兩邊和須大於第三邊
            {
                return true;
            }
            else
            {
                return false;
            }
        }

        public double RadiusOfCircumcircle()
        {
            double lengthA = pointArray[0].DistanceTo(pointArray[1]); //由DistanceTo()計算兩點間的距離
            double lengthB = pointArray[1].DistanceTo(pointArray[2]); //算出三角形三邊之邊長
            double lengthC = pointArray[2].DistanceTo(pointArray[0]);

            double cosAlpha = (lengthB * lengthB + lengthC * lengthC - lengthA * lengthA) / (2 * lengthB * lengthC); //由餘弦公式計算出Alpha角之餘弦值
            double sinAlpha = Math.Sqrt(1 - cosAlpha * cosAlpha); //由萬用公式計算出Alpha角之正弦值
            double radius = 0.5 * lengthA / sinAlpha; //求得外接圓半徑

            return radius;
        }
    }
}

[2015][Quiz][Week07] Quiz4 - 40173041H

程式分為 1.建立點型態 2.建立板子 3.建立三角形 4.視窗 5.主程式 點型態

using System;
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace Quiz4
{
    class Point
    {
        public double xCoordinate;
        public double yCoordinate;

        public double DistanceTo(Point pin) //計算該點和某點之間的距離
        {
            double Distance = Math.Sqrt(Math.Pow((pin.xCoordinate - xCoordinate), 2) + Math.Pow((pin.yCoordinate - yCoordinate), 2));
            return Distance;
        }
    }
}

板子

using System;
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace Quiz4
{
    class PinBoard
    {
        public int rows;
        public int columns;
        public Double rowInterval;
        public Double columnInterval;
        public Point[,] pinArray = null;

        public void CreatePins() //產生矩陣各點之位置
        {
            pinArray = new Point[rows, columns];
            for (int i = 0; i < rows; i++)
            {
                for (int j = 0; j < columns; j++)
                {
                    pinArray[i, j] = new Point();
                }
            }
        }

        public void SetPinsPosition() //依行列間距計算出各點x.y之座標
        {
            for (int i = 0; i < rows; i++)
            {
                for (int j = 0; j < columns; j++)
                {
                    pinArray[i, j].xCoordinate = (i * rowInterval);
                    pinArray[i, j].yCoordinate = (j * columnInterval);
                }
            }
        }
    }
}

三角形

using System;
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace Quiz4
{
    class TriangleFunction
    {
        public Point[] pointArray = new Point[3]; //建立三角形的三個點

        public double Perimeter() //計算三角形的周長
        {
            double length1 = pointArray[0].DistanceTo(pointArray[1]); //由DistanceTo()計算兩點間的距離
            double length2 = pointArray[1].DistanceTo(pointArray[2]); //算出三角形三邊之邊長
            double length3 = pointArray[2].DistanceTo(pointArray[0]);

            double Perimeter = length1 + length2 + length3; //三邊和為周長
            return Perimeter;
        }

        public double Area()
        {
            double length1 = pointArray[0].DistanceTo(pointArray[1]); //由DistanceTo()計算兩點間的距離
            double length2 = pointArray[1].DistanceTo(pointArray[2]); //算出三角形三邊之邊長
            double length3 = pointArray[2].DistanceTo(pointArray[0]);

            double Perimeter = length1 + length2 + length3; //已求得三邊長度以海龍公式計算三角形面積
            double Area = Math.Sqrt((0.5 * Perimeter) * (0.5 * Perimeter - length1) * (0.5 * Perimeter - length2) * (0.5 * Perimeter - length3));
            return Area;
        }

        public bool IsRight()
        {
            double length1 = pointArray[0].DistanceTo(pointArray[1]); //由DistanceTo()計算兩點間的距離
            double length2 = pointArray[1].DistanceTo(pointArray[2]); //算出三角形三邊之邊長
            double length3 = pointArray[2].DistanceTo(pointArray[0]);
            double temp = 0;
            double copyLength1 = length1; //複製三邊邊長以便依大小排序
            double copyLength2 = length2;
            double copyLength3 = length3;

            while (true)
            {
                if (copyLength2 > copyLength1) //將copyLength1變為最長邊
                {
                    temp = copyLength2;
                    copyLength2 = copyLength1;
                    copyLength1 = temp;
                }
                else if (copyLength3 > copyLength2)
                {
                    temp = copyLength3;
                    copyLength3 = copyLength2;
                    copyLength2 = temp;
                }
                else
                {
                    break;
                }
            }
            if (copyLength1 < (copyLength2 + copyLength3)) //三角形兩邊和須大於第三邊
            {
                return true;
            }
            else
            {
                return false;
            }
        }

        public double RadiusOfCircumcircle()
        {
            double lengthA = pointArray[0].DistanceTo(pointArray[1]); //由DistanceTo()計算兩點間的距離
            double lengthB = pointArray[1].DistanceTo(pointArray[2]); //算出三角形三邊之邊長
            double lengthC = pointArray[2].DistanceTo(pointArray[0]);

            double cosAlpha = (lengthB * lengthB + lengthC * lengthC - lengthA * lengthA) / (2 * lengthB * lengthC); //由餘弦公式計算出Alpha角之餘弦值
            double sinAlpha = Math.Sqrt(1 - cosAlpha * cosAlpha); //由萬用公式計算出Alpha角之正弦值
            double radius = 0.5 * lengthA / sinAlpha; //求得外接圓半徑

            return radius;
        }
    }
}

視窗

using System;
using System;
using System.Collections.Generic;
using System.ComponentModel;
using System.Data;
using System.Drawing;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using System.Windows.Forms;

namespace Quiz4
{
    public partial class Form1 : Form
    {
        PinBoard board = new PinBoard();
        public Form1()
        {
            InitializeComponent();
        }
        private void btnGenerateTriengle_Click(object sender, EventArgs e)
        {

            TriangleFunction tri = new TriangleFunction();
            Random rand = new Random();
            board.rows = int.Parse(txtRow.Text);
            board.columns = int.Parse(txtColumn.Text);
            board.rowInterval = Double.Parse(txtXInterval.Text);
            board.columnInterval = Double.Parse(txtYInterval.Text);
            int[] rowRand = new int[3];
            int[] columnRand = new int[3];
            board.CreatePins();
            board.SetPinsPosition();
        TrianglePin:
            for (int i = 0; i < 3; i++)
            {
                rowRand[i] = rand.Next(board.rows);
                columnRand[i] = rand.Next(board.columns);
                tri.pointArray[i] = board.pinArray[rowRand[i], columnRand[i]];
            }
            if (!tri.IsRight())
            {
                goto TrianglePin;
            }

            txtPoint1Row.Text = rowRand[0].ToString();
            txtPoint1Column.Text = columnRand[0].ToString();
            txtPoint2Row.Text = rowRand[1].ToString();
            txtPoint2Column.Text = columnRand[1].ToString();
            txtPoint3Row.Text = rowRand[2].ToString();
            txtPoint3Column.Text = columnRand[2].ToString();
            txtPoint1X.Text = (Double.Parse(txtPoint1Column.Text) * Double.Parse(txtXInterval.Text)).ToString();
            txtPoint1Y.Text = (Double.Parse(txtPoint1Row.Text) * Double.Parse(txtYInterval.Text)).ToString();
            txtPoint2X.Text = (Double.Parse(txtPoint2Column.Text) * Double.Parse(txtXInterval.Text)).ToString();
            txtPoint2Y.Text = (Double.Parse(txtPoint2Row.Text) * Double.Parse(txtYInterval.Text)).ToString();
            txtPoint3X.Text = (Double.Parse(txtPoint3Column.Text) * Double.Parse(txtXInterval.Text)).ToString();
            txtPoint3Y.Text = (Double.Parse(txtPoint3Row.Text) * Double.Parse(txtYInterval.Text)).ToString();
            txtTriangleSolution.Text = "周長:" + tri.Perimeter().ToString();
            txtTriangleSolution.Text += Environment.NewLine;
            txtTriangleSolution.Text += "面積:" + tri.Area().ToString();
            txtTriangleSolution.Text += Environment.NewLine;
            txtTriangleSolution.Text += "外接圓:" + tri.RadiusOfCircumcircle().ToString();
            txtTriangleSolution.Text += Environment.NewLine;
        }

        private void btnCalculate_Click(object sender, EventArgs e)
        {
            TriangleFunction tri = new TriangleFunction();
            for (int i = 0; i < 3;i++ )
            {
                tri.pointArray[i]=new Point();
            }
            board.rows = int.Parse(txtRow.Text);
            board.columns = int.Parse(txtColumn.Text);
            board.rowInterval = Double.Parse(txtXInterval.Text);
            board.columnInterval = Double.Parse(txtYInterval.Text);
            txtPoint1X.Text = (Double.Parse(txtPoint1Column.Text) * Double.Parse(txtXInterval.Text)).ToString();
            txtPoint1Y.Text = (Double.Parse(txtPoint1Row.Text) * Double.Parse(txtYInterval.Text)).ToString();
            txtPoint2X.Text = (Double.Parse(txtPoint2Column.Text) * Double.Parse(txtXInterval.Text)).ToString();
            txtPoint2Y.Text = (Double.Parse(txtPoint2Row.Text) * Double.Parse(txtYInterval.Text)).ToString();
            txtPoint3X.Text = (Double.Parse(txtPoint3Column.Text) * Double.Parse(txtXInterval.Text)).ToString();
            txtPoint3Y.Text = (Double.Parse(txtPoint3Row.Text) * Double.Parse(txtYInterval.Text)).ToString();
            tri.pointArray[0].xCoordinate = double.Parse(txtPoint1X.Text);
            tri.pointArray[0].yCoordinate = double.Parse(txtPoint1Y.Text);
            tri.pointArray[1].xCoordinate = double.Parse(txtPoint2X.Text);
            tri.pointArray[1].yCoordinate = double.Parse(txtPoint2Y.Text);
            tri.pointArray[2].xCoordinate = double.Parse(txtPoint3X.Text);
            tri.pointArray[2].yCoordinate = double.Parse(txtPoint3Y.Text);
            if (!tri.IsRight())
            {
                txtTriangleSolution.Text = "不是三角形";
            }
            else
            {
                txtTriangleSolution.Text = "周長:" + tri.Perimeter().ToString();
                txtTriangleSolution.Text += Environment.NewLine;
                txtTriangleSolution.Text += "面積:" + tri.Area().ToString();
                txtTriangleSolution.Text += Environment.NewLine;
                txtTriangleSolution.Text += "外接圓:" + tri.RadiusOfCircumcircle().ToString();
                txtTriangleSolution.Text += Environment.NewLine;
            }
        }

    }
}

主程式

using System;
using System;
using System.Collections.Generic;
using System.Linq;
using System.Threading.Tasks;
using System.Windows.Forms;

namespace Quiz4
{
    static class Program
    {
        /// 

        /// 應用程式的主要進入點。
        /// 
        [STAThread]
        static void Main()
        {
            Application.EnableVisualStyles();
            Application.SetCompatibleTextRenderingDefault(false);
            Application.Run(new Form1());
        }
    }
}