Example: The cubic spline interpolant with periodic boundary conditions
A cubic spline interpolant to a function is computed. The value of the spline at point 0.23 is printed.
using System;
using Imsl.Math;
public class CsPeriodicEx1
{
public static void Main(String[] args)
{
int n = 11;
double[] x = new double[n];
double[] y = new double[n];
double h = 2.0 * System.Math.PI / 15.0 / 10.0;
for (int k = 0; k < n; k++)
{
x[k] = h * (double) (k);
y[k] = System.Math.Sin(15.0 * x[k]);
}
CsPeriodic cs = new CsPeriodic(x, y);
double csv = cs.Eval(0.23);
Console.Out.WriteLine("The computed cubic spline value at " +
"point .23 is " + csv);
}
}
Output
The computed cubic spline value at point .23 is -0.303401472606451
Link to C# source.