[2015][Homework]Team05-Hw05

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程式分為四個部分, 包含主程式及3個class
MyPoint 定義兩點以及之間的距離
Triangle 定義三點座標、三角形是否合理、求初期周長  面積  以及外接圓半徑
PinBoard 定義板子大小(行列 間隔數)把板子都先填上虛擬點

Program

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

namespace HW5
{
    class Program
    {
        static void Main(string[] args)
        {
            PinBoard board = new PinBoard();
            Triangle tri = new Triangle();
            MyPoint point = new MyPoint();
            Random rand = new Random();

            while (true)
            {
                Console.WriteLine("請決定點鎮的大小:");

            RowsLabel:
                Console.WriteLine("幾列:?");
                board.rows = int.Parse(Console.ReadLine());
                if (board.rows <= 0)
                {
                    Console.WriteLine("列數必須要大於0!");
                    goto RowsLabel;
                }

            ColsLabel:
                Console.WriteLine("幾行:?");
                board.columns = int.Parse(Console.ReadLine());
                if (board.columns <= 0)
                {
                    Console.WriteLine("行數必須要大於0!");
                    goto ColsLabel;
                }

                Console.WriteLine("請決定點陣間隔");
            XIntervalLabel:
                Console.WriteLine("橫向間隔?");
                board.rowInterval = int.Parse(Console.ReadLine());
                if (board.rowInterval <= 0)
                {
                    Console.WriteLine("橫向間隔必須要大於0!");
                    goto XIntervalLabel;
                }
            YIntervalLabel:
                Console.WriteLine("縱向間隔?");
                board.rowInterval = int.Parse(Console.ReadLine());
                if (board.columnInterval <= 0)
                {
                    Console.WriteLine("縱向間隔必須要大於0!");
                    goto YIntervalLabel;
                }

                board.CreatePins();
                board.SetPinPosition();

            TrianglePin:
                for (int i = 0; i < 3; i++)
                {
                    tri.pointArray[i] = board.pinArray[rand.Next(board.rows), rand.Next(board.columns)];
                }
                if (!tri.IsQualified())
                {
                    Console.WriteLine("此三點不構成三角形!");
                    goto TrianglePin;
                }
                for (int i = 0; i < 3; i++)
                {
                    Console.WriteLine("({0},{1})",tri.pointArray[i].x,tri.pointArray[i].y);
                }

                Console.WriteLine("此三角形的周長為:{0}",tri.Perimeter());
                Console.WriteLine("此三角形的面積為:{0}",tri.Area());
                Console.WriteLine("此三角形的外接圓半徑為:{0}", tri.RadiusOfCircumcircle());

                string select = Console.ReadLine();
                Console.WriteLine("Again?");
                if (("y" != select) && ("Y" == select))
                    break;


            }
            Console.Read();
        }
    }
}

MyPoint

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

namespace HW5
{
    class MyPoint
    {
        public double x;
        public double y;

        public double DistanceTo(MyPoint pin)//兩點之間距離
        {
            double Distance=Math.Sqrt(Math.Pow((pin.x-x),2)+Math.Pow((pin.y-y),2));
            return Distance;
        }
    }
}

Triangle

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

namespace HW5
{
    class Triangle
    {
        public MyPoint[] pointArray = new MyPoint[3];

        public double Perimeter()//求三角形周長
        {
            double Length1 = pointArray[0].DistanceTo(pointArray[1]);//用DistanceTo計算三邊長
            double Length2 = pointArray[1].DistanceTo(pointArray[2]);
            double Length3 = pointArray[2].DistanceTo(pointArray[0]);
            double perimeter = Length1 + Length2 + Length3;

            return perimeter;
        }

        public double Area()//求三角形面積
        {
            double Length1 = pointArray[0].DistanceTo(pointArray[1]);//用DistanceTo計算三邊長
            double Length2 = pointArray[1].DistanceTo(pointArray[2]);
            double Length3 = pointArray[2].DistanceTo(pointArray[0]);
            double perimeter = Length1 + Length2 + Length3;

            double area = Math.Sqrt((0.5 * perimeter) + (0.5 * (perimeter - Length1)) + (0.5 * (perimeter - Length2)) + (0.5 * (perimeter - Length3)));//海龍公式
            return area;
        }

        public bool IsQualified()//判斷三角形
        {
            double Length1 = pointArray[0].DistanceTo(pointArray[1]);//用DistanceTo計算三邊長
            double Length2 = pointArray[1].DistanceTo(pointArray[2]);
            double Length3 = pointArray[2].DistanceTo(pointArray[0]);
            double temp = 0;


            while(true) //將Length1設定為最大邊
            {
                if (Length1 < Length2)
                {
                    temp = Length1;
                    Length1 = Length2;
                    Length2 = temp;
                }
                else if (Length2 < Length3)
                {
                    temp = Length2;
                    Length2 = Length3;
                    Length3 = temp;
                }
                else
                    break;
            }

            if (Length1 < (Length2 + Length3))//兩邊和大於第三邊
                return true;
            else
                return false;

        }

        public double RadiusOfCircumcircle()//求三角形外接圓半徑
        {
            double Length1 = pointArray[0].DistanceTo(pointArray[1]);//用DistanceTo計算三邊長
            double Length2 = pointArray[1].DistanceTo(pointArray[2]);
            double Length3 = pointArray[2].DistanceTo(pointArray[0]);

            double cosA = (Length3 * Length3 + Length2 * Length2 - Length1 * Length1) / (2 * Length2 * Length3);
            double sinA = Math.Sqrt(1 - cosA * cosA);

            double radius = 0.5 * Length1 / sinA;
            return radius;
        }
    }
}

PinBoard

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

namespace HW5
{
    class PinBoard
    {
        public int rows = 10;
        public int columns = 10;
        public Double rowInterval = 10;
        public Double columnInterval = 10;
        public MyPoint[,] pinArray = null;

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

        public void SetPinPosition() //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].x = (i * rowInterval);
                    pinArray[i, j].y = (j * columnInterval);
                }
            }
        }
    }
}