scipy.interpolate.piecewise_polynomial_interpolate(xi, yi, x, orders=None, der=0)

Convenience function for piecewise polynomial interpolation

Parameters :

xi : array_like

A sorted list of x-coordinates, of length N.

yi : list of lists

yi[i] is the list of derivatives known at xi[i]. Of length N.

x : scalar or array_like

Of length M.

orders : int or list of ints

a list of polynomial orders, or a single universal order

der : int

Which single derivative to extract.

Returns :

y : scalar or array_like

The result, of length R or length M or M by R,


If orders is None, or orders[i] is None, then the degree of the polynomial segment is exactly the degree required to match all i available derivatives at both endpoints. If orders[i] is not None, then some derivatives will be ignored. The code will try to use an equal number of derivatives from each end; if the total number of derivatives needed is odd, it will prefer the rightmost endpoint. If not enough derivatives are available, an exception is raised.

Construction of these piecewise polynomials can be an expensive process; if you repeatedly evaluate the same polynomial, consider using the class PiecewisePolynomial (which is what this function does).

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