[math] CubicSplineFunction -> PolynomialSplineFunction

[Phil Steitz <ph...@steitz.com>]

I have (I think) fixed the SplineInterpolator by changing the 
implementation to follow Burden & Faires.  I would like to make the 
following change, using the improved PolynomialFunction setup:

Replace CubicSplineFunction with PolynomialSplineFunction, which takes a 
partition and an array of PolynomialFunctions as arguments to its 
constructor. Have this implement the new 
DifferentiableUnivariateRealFunction interface, also specializing to 
implement polynomialSplineDerivative().

Part of the motivation for doing this is to clean up the 
SplineInterpolator.interpolate() method.  I would prefer to have this 
method create PolynomialFunctions and use these to construct the output 
spline function rather than creating a multidimensional coefficients array.

Once the piecewise polynomials are encapsulated, the implementation of 
CubicSplineFunction extends quite easily to become 
PolynomialSplineFunction.  I see no reason not to do this.

Any objections?

Phil


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