using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using V = Science.Mathematics.VectorCalculus;

namespace VectorCalculus5Ed.Chapter2.Section4
{
    public class Example07
    {
        public Example07()
		{
		}
		private string result;
		public string Result
		{
			get{return result;}
		}
        public void Compute()
        {
            Science.Mathematics.Function.ToLastType<double, double[]> map
                = new Science.Mathematics.Function.ToLastType<double, double[]>(func);
            V.Path p = new V.Path(map);
            V.TangentVector v = new V.TangentVector(p, 2.0);
            v.Compute();
            result += v.Result.ToString() + "\r\n";
            result += (1.0 - Math.Cos(2.0)).ToString() + "\t  ";
            result += (Math.Sin(2.0)).ToString() + "\r\n";
        }
        private double[] func(double t)
        {
            double[] r = new double[2];
            r[0] = t - Math.Sin(t);
            r[1] = 1.0 - Math.Cos(t);
            return r;
        }
    }
}
/*
(1.41614683654772,0.909297426824558)

1.41614683654714	  0.909297426825682
*/