>Where can I find algorithms to make cubic, n-point and other types of  
>interpolations?

numerical recipes is a good start (but you're not allowed to copy
their code in many cases)

i also used the source code for the GtkCurve widget, which is based on
numerical recipes, and includes spline (cubic) and a couple of other
types of interpolation. ardour contains some relatively context-free
C++ code for this now, in ardour/libs/ardour/curve.{cc,h}.

--p

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