2015年4月9日 星期四

[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

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[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;
        }
    }
}
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[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());
        }
    }
}
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