scipy.interpolate.piecewise_polynomial_interpolate

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

Convenience function for piecewise polynomial interpolation

Parameters :

xi : array-like of length N

a sorted list of x-coordinates

yi : list of lists of length N

yi[i] is the list of derivatives known at xi[i]

x : scalar or array-like of length M

orders : list of integers, or integer

a list of polynomial orders, or a single universal order

der : integer

which single derivative to extract

Returns :

y : scalar or array-like of length R or length M or M by R

Notes

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).