Inter.InterPoly Method 

Interpolates (or extrapolates) a given polynomial in one variable using a polynomial of degree `n-1' when we are provided with `n' interpolation points.

Parameters

TabPtsInX

An array of doubles for which at member we know the corresponding value of the given polynomial. Note, that the corresponding values of the polynomial at these points given by the member of the array yCoordinates which lie in the corresponding position.

PolyValues

An array of doubles which corresponds to the value of the polynomial at the points tabulationPointsInX. The first point of this array is the value of the given polynomial evaluated at the point tabulationPointsInX[0], th second point of the array is the value of the given polynomial at the point tabulationPointsInX[1].

InterPoint

The value of the point at which the interpolation function is evaluated and a corresponding error estimate is given.

Remarks

Tabulation points must be provided from which the method returns an array of two values the first being the value of the interpolation function evaluated at the interpolation point and the other being the error estimate.

If P(x) is the polynomial of degree `n-1' such that P(xCoordinates[i]) = yCoordinates[i]; i=0,...,n-1; then if the desired point at which the interpolation functions value is required is `interpolationPoint'. Then the returned value will be some double value y, where y = P(interpolationPoint).

The `tabulationPointsInX' array and the `polynomialValues' array should each contain at least one element. If these arrays have different lengths the shorter one will be chosen as reference.

Excel Remarks

The full name of this function inside Excel is Ipola_Inter_InterPoly.

Exceptions

See Also

Inter Class | Interpolation Namespace

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