using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using L = Science.Mathematics.LinearAlgebra;

namespace Strang3Ed.Chapter04.Section3
{
    public class ExampleA
    {
        public ExampleA()
        {
        }
        private string result;
        public string Result
        {
            get { return result; }
        }
        public void Compute()
        {
            double[,] x = {{1.0, 1.0}, 
                           {1.0, 2.0},
                           {1.0, 3.0}, 
                           {1.0, 4.0},
                           {1.0, 5.0},
                           {1.0, 6.0}, 
                           {1.0, 7.0},
                           {1.0, 8.0}, 
                           {1.0, 9.0},
                           {1.0, 10.0}};

            L.Matrix A = new L.Matrix(x);

            L.Vector b = new L.Vector(10);
            b[0] = 0.0;
            b[1] = 0.0;
            b[2] = 0.0;
            b[3] = 0.0;
            b[4] = 0.0;
            b[5] = 0.0;
            b[6] = 0.0;
            b[7] = 0.0;
            b[8] = 0.0;
            b[9] = 40.0;     

            L.LeastSquareApproximation obj
                = new L.LeastSquareApproximation(A, b);

            foreach (double k in obj.Solution)
                result += k.ToString() + "\r\n";
        }
    }
}
/*
-8
2.18181818181818
*/