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Evaluate Riemann Sum for the given function, a good way to convince yourself about integrals
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using System; | |
using System.Collections.Generic; | |
using System.Linq; | |
using System.Text; | |
namespace RiemannSums | |
{ | |
class Program | |
{ | |
static double f( double x) | |
{ | |
return x * x; | |
} | |
static double g(double x) | |
{ | |
return 2*x * x + 3*x + 7; | |
} | |
static void Main(string[] args) | |
{ | |
Console.WriteLine(" x^2 from {0} to {1} with {3} cuts is {2}",0, 5, RiemannSumOf(f, 0, 5, 25 ),25); | |
Console.WriteLine(" x^2 from {0} to {1} with {3} cuts is {2}", 0, 5, RiemannSumOf(f, 0, 5, 40),40); | |
Console.WriteLine(" x^2 from {0} to {1} with {3} cuts is {2}", 0, 5, RiemannSumOf(f, 0, 5, 80),80); | |
Console.WriteLine(" x^2 from {0} to {1} with {3} cuts is {2}", 0, 5, RiemannSumOf(g, 0, 5, 25), 25); | |
Console.WriteLine(" x^2 from {0} to {1} with {3} cuts is {2}", 0, 5, RiemannSumOf(g, 0, 5, 40), 40); | |
Console.WriteLine(" x^2 from {0} to {1} with {3} cuts is {2}", 0, 5, RiemannSumOf(g, 0, 5, 80000), 80000); | |
} | |
/* | |
* Uses Left End point method | |
*/ | |
static double RiemannSumOf( Func<double,double> func, double from , double to, int cuts) | |
{ | |
double area = 0.0d; | |
int currentRect = 0; | |
double range = to - from; | |
double width = range/cuts; | |
double lastPoint = from; | |
while (currentRect != cuts) | |
{ | |
currentRect++; | |
area += width * func((lastPoint + width)); | |
lastPoint += width; | |
} | |
return area; | |
} | |
} | |
} |
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