using System;

namespace Science.Mathematics.VectorCalculus
{
    public class PathIntegral
    {
        private Path c;
        private double res;
        private Function.ToLastType<double[], double> f;
        public PathIntegral(Function.ToLastType<double[],double> function, Path path)
        {
            f = function;
            c = path;
        }
        public void Compute()
        {
            Function.ToLastType<double, double> func
                = new Function.ToLastType<double, double>(ff);
            IntegrationMidpoint obj = new IntegrationMidpoint(func, 
                c.ParameterFrom, c.ParameterTo);
            obj.Compute();
            res = obj.Result;
        }
        private double ff(double t)
        {
            Velocity v = new Velocity(c, t);
            v.Compute();
            return f(c.Map(t))*v.Speed;
        }
        public double Result
        {
            get { return res; }
        }
    }
}