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

namespace VectorCalculus5Ed.Chapter7.Section2
{
    public class Example02
    {
        public Example02()
		{
		}
		private string result;
		public string Result
		{
			get{return result;}
		}
        public void Compute()
        {
            Science.Mathematics.Function.ToLastType<double, double[]> ff
                = new Science.Mathematics.Function.ToLastType<double, double[]>(func);
            V.Path c = new V.Path(ff);
            c.ParameterFrom = 0.0;
            c.ParameterTo = 1.0;
            Science.Mathematics.Function.ToLastType<double[], double[]> fff
                = new Science.Mathematics.Function.ToLastType<double[], double[]>(f);
            V.VectorField F = new V.VectorField(fff);
            V.LineIntegral obj = new V.LineIntegral(F, c);
            obj.Compute();
            result += obj.Result.ToString() + "\r\n";

            double res = 11.0/15.0;
            result += res.ToString() + "\r\n";
        }
        private double[] func(double t)
        {
            double[] x = new double[3];
            x[0] = t;
            x[1] = t*t;
            x[2] = 1.0;
            return x;
        }
        private double[] f(double[] x)
        {
            double[] r = new double[3];
            r[0] = x[0]*x[0];
            r[1] = x[0]*x[1];
            r[2] = 1.0;
            return r;
        }
    }
}
/*
0.73333333333089
0.733333333333333
*/