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

namespace VectorCalculus5Ed.Chapter3.Section1
{
    public class Example04
    {
        public Example04()
		{
		}
		private string result;
		public string Result
		{
			get{return result;}
		}
        public void Compute()
        {
            Science.Mathematics.Function.ToLastType<double[], double> f
                = new Science.Mathematics.Function.ToLastType<double[], double>(func);
            double[] at = { 1.0, 0.5};

            V.IteratedPartialDerivative ddf
                = new V.IteratedPartialDerivative(f, at, 2);

            ddf.WithRespectToFirst = 0;
            ddf.WithRespectToSecond = 1;
            ddf.Compute();
            result += ddf.Result.ToString() + "\r\n";

            ddf.WithRespectToFirst = 1;
            ddf.WithRespectToSecond = 0;
            ddf.Compute();
            result += ddf.Result.ToString() + "\r\n";

            result += (Math.Exp(at[1])+2.0*at[0]).ToString() + "\r\n";
        }
        private double func(double[] x)
        {
            return x[0]*Math.Exp(x[1]) + x[1] * x[0] * x[0];
        }
    }
}
/* 
3.64872127092045
3.64872127130241
3.64872127070013
*/