Riemann Sums, C# - rextester

Riemann Sums

//Rextester.Program.Main is the entry point for your code. Don't change it.
//Compiler version 4.0.30319.17929 for Microsoft (R) .NET Framework 4.5

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text.RegularExpressions;

namespace Rextester
{
    public class Program
    {
        public delegate double Function(double x);
        
        public static void Main(string[] args)
        {
            Function xInt = (x) => {return x;};
            Function overXInt = (x) => {return 1.0/x;};
            LeftRiemannSum(overXInt, 1, Math.E, 10000);
            RightRiemannSum(overXInt, 1, Math.E, 10000);
            MeanRiemannSum(overXInt, 1, Math.E, 10000);
        }
        
        public static double LeftRiemannSum(Function func, double start, double end, int steps) {
            double diff = end - start;
            double dx = diff/(double)steps;
            double F = 0;
            for(int i = 0; i < steps; i++) {
                F += func(start + (double)i*dx)*dx;
                //Console.WriteLine(F);
            }
            Console.WriteLine("F(x) from " + start + " to " + end + " is " + F);
            return F;
        }
        
        public static double RightRiemannSum(Function func, double start, double end, int steps) {
            double diff = end - start;
            double dx = diff/(double)steps;
            double F = 0;
            for(int i = 1; i < steps+1; i++) {
                F += func(start + (double)i*dx)*dx;
                //Console.WriteLine(F);
            }
            Console.WriteLine("F(x) from " + start + " to " + end + " is " + F);
            return F;
        }

public static double MeanRiemannSum(Function func, double start, double end, int steps) {
            
            double F = (RightRiemannSum( func,  start,  end,  steps) + LeftRiemannSum( func,  start,  end,  steps))/2.0;
            Console.WriteLine("F(x) from " + start + " to " + end + " is " + F);
            return F;
        }
    }
}


run \| edit \| history \| help	0