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

namespace VectorCalculus5Ed.Chapter7.Section7
{
    public class Example01
    {
        public Example01()
		{
		}
		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.Surface s = new V.Surface(ff);

            double[] at = { 1.0, 2.0 };

            result += s.CurvatureGauss(at).ToString() + "\r\n";
            result += s.CurvatureMean(at).ToString() + "\r\n";
        }
        private double[] func(double[] u)
        {
            double[] x = new double[3];
            x[0] = u[0] + u[1] + 2.0;
            x[1] = 2.0*u[0] + 4.0*u[1] + 4.0;
            x[2] = 3.0*u[0] + 5.0*u[1] + 8.0;
            return x;
        }
    }
}
/*
1.35649175409414E-19
-3.25558780204851E-09
*/