using System;

using System.Collections.Generic;

using System.Linq;

using System.Security.Cryptography.X509Certificates;

using System.Text;

using System.Threading.Tasks;

​

namespace review

{

    class Program

    {

        static void Main(string[] args)

        {

            List<double> a = new List<double>();

            a.Add(1);

            a.Add(3);

            a.Add(5);

            double[] bTemp = { 2, 4, 6 };

            List<double> b = new List<double>(bTemp);

​

            Vector Va = new Vector(a);   //建立A物件

            Vector Vb = new Vector(b);   //建立B物件

​

            Console.WriteLine("The dimension of the Vector Va is: " + Va.dimension);

            Console.WriteLine("Vector Va is: " + Va.ToString());

​

            Console.WriteLine("The dimension of the Vector Vb is:" + Vb.dimension);

            Console.WriteLine("Vector Vb is: " + Vb.ToString());

​

        Vector Vc = Va.add(Vb);

        Console.WriteLine("Va+Vb=" + Vc.ToString());

​

        Vector Vd = Vb.subtract(Va);

        Console.WriteLine("Vb-Va=" + Vd.ToString());

​

        Vector Ve = Vb.scalarMultiplication(3.00);

        Console.WriteLine("3xVb=" + Ve.ToString());

​

        Console.WriteLine("Va.Vb=" + Va.dotProduct(Vb));

​

        double[] cTemp = { 3, 3 };

        List<double> c = new List<double>(cTemp);

        Vector Vf = new Vector(c);

        Console.WriteLine("The dimension of the Vector Vf is:" + Vf.dimension);

        Console.WriteLine("Vector Vf is: " + Vf.ToString());

​

        Console.Write("Va+Vf=");

        try

        {

            Vector Vg = Va.add(Vf);

        }

        catch (Exception ex)

        {

            Console.WriteLine("The dimensions of the two vectors do not match");

        }

            Console.ReadKey();

    }//end main

​

        public class Vector

        {

            //property

​

            public List<double> _something;

            public int dimension;

​

            //method

            public Vector()

            {

​

            }            

            public Vector(List<double> a)

            {

                this._something = a;

                dimension = _something.Count;

            }

​

            public Vector add(Vector b)

            {

                List<double> abc = new List<double>();//設定一個空的List去接值

                for (int i = 0; i != _something.Count; i++)

                {

                    abc[i] = this._something[i] + b._something[i];                          

                }

                Vector result = new Vector(abc);//將abc這個List轉成vector

                return result;

            }

            public Vector subtract(Vector c)

            {

                List<double> abcd = new List<double>();

                for(int i=0;i!=_something.Count;i++)

                {

                    abcd[i] =this._something[i]-c._something[i];

                }

                Vector result = new Vector(abcd);

                return result;

            }

            public Vector scalarMultiplication(double d)

            {

                List<double> abcde = new List<double>();

                for (int i = 0; i != _something.Count; i++)

                {

                    abcde[i] = this._something[i] * d;

                }

                Vector result = new Vector(abcde);

                return result;

            }

            public double dotProduct(Vector e)

            {

                List<double> abcdef = new List<double>();

                double total = 0;

                for (int i = 0; i != _something.Count; i++)

                {

                    abcdef[i] = this._something[i] * e._something[i];

                }

                for(int j=0;j!=_something.Count;j++)

                {

                    total += abcdef[j];

                }

                return total;

            }

            public string ToString()

            {

                string result = "(";

                for(int i=0;i!=_something.Count;i++)

                {

                    if(i!=_something.Count-1)

                    {

                        result += _something[i];

                        result += ",";

                    }

                    else if(i==_something.Count-1)

                    {

                        result += _something[i];

                    }

                }

                result += ")";

                return result;

​

            }

​

        }

    }

}