Description: Known f (xn) = yn, n = 0,1,2, ..., N seeking the passage of the N+ 1 nodes ((xn, yn) | n = 0,1,2, ..., N) of the intercalation value function Pn (x). Design a specific procedure, namely the use of Lagrange interpolation, Newton interpolation and three natural three-spline algorithm to map out the corresponding interpolation curve. Using three different colors to indicate the three curve interpolation methods over a period of range of interpolation function. Requirements of dynamic display curve drawing the whole process.
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