Inter.CubicSpline Method 

Calculates the value of the cubic spline interpolation of a function in one real variable at a given point when the derivatives of the interpolation function at the end points are given.

Parameters

TabPtsInX

The array containing the values at which the function is tabulated, i.e. functionValuesAtTabulationPoints[i] = f(tabulationPointsInX[i]).

FnAtTabPts

An array of double of the values of the function evaluated at the interpolation points, i.e. functionValuesAtTabulationPoints[i] = f(tabulationPointsInX[i]), where f is the function being considered.

DerivAt0

The first derivative of the interpolation function at the point tabulationPointsInX[0].

DerivAtn_1

The first derivative of the interpolation function at the point tabulatedPointInX[n-1].

InterPt

The value of the `x-coordinate' at which the value of the cubic spline interpolation function is evaluated.

Remarks

Details

Given a function which is tabulated at the points tabulationPointsInX[0..n-1] which has elements was are monotonically increasing and takes the values functionValuesAtTabulationPoints[0..n-1] at those points, this methods returns the values of the cubic spline interpolation function evaluated at the given point interpolationPoint.

Remarks of this methods application

• If the three parameters arrays used within this method have different lengths then the length of the shortest array will be used as reference and only the corresponding terms of the other arrays will be used.
• All of the three arrays must have a length equal to or greater than 2.

Excel Remarks

The full name of this function inside Excel is Ipola_Inter_CubicSpline.

Exceptions

See Also

Inter Class | Interpolation Namespace | CubicSplinePre

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