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

namespace VectorCalculus5Ed.Chapter3.Section4
{
    public class Example06
    {
        public Example06()
		{
		}
		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);
            Science.Mathematics.Function.ToLastType<double[], double> g
                = new Science.Mathematics.Function.ToLastType<double[], double>(gf);
            double[] x = { 1.0, -1.0 };
            double l = 0.1;
            V.LagrangeMultiplierMethod obj
                = new V.LagrangeMultiplierMethod(f, g, x, l);
            obj.Compute();
            result += obj.CriticalPoint[0].ToString() + "\r\n";
            result += obj.CriticalPoint[1].ToString() + "\r\n";
            result += obj.Lambda.ToString() + "\r\n";
        }
        private double func(double[] x)
        {
            return x[0]*x[1];
        }
        private double gf(double[] x)
        {
            return x[0] * x[0] + x[1] * x[1] - 1.0;
        }
    }
}

/*
0.707106781186576
-0.707106781186519
-0.499999999999982
*/