scipy.interpolate.

# NdPPoly#

class scipy.interpolate.NdPPoly(c, x, extrapolate=None)[source]#

Piecewise tensor product polynomial

The value at point xp = (x', y', z', ...) is evaluated by first computing the interval indices i such that:

x[0][i[0]] <= x' < x[0][i[0]+1]
x[1][i[1]] <= y' < x[1][i[1]+1]
...


and then computing:

S = sum(c[k0-m0-1,...,kn-mn-1,i[0],...,i[n]]
* (xp[0] - x[0][i[0]])**m0
* ...
* (xp[n] - x[n][i[n]])**mn
for m0 in range(k[0]+1)
...
for mn in range(k[n]+1))


where k[j] is the degree of the polynomial in dimension j. This representation is the piecewise multivariate power basis.

Parameters:
cndarray, shape (k0, …, kn, m0, …, mn, …)

Polynomial coefficients, with polynomial order kj and mj+1 intervals for each dimension j.

xndim-tuple of ndarrays, shapes (mj+1,)

Polynomial breakpoints for each dimension. These must be sorted in increasing order.

extrapolatebool, optional

Whether to extrapolate to out-of-bounds points based on first and last intervals, or to return NaNs. Default: True.

Attributes:
xtuple of ndarrays

Breakpoints.

cndarray

Coefficients of the polynomials.

Methods

 __call__(x[, nu, extrapolate]) Evaluate the piecewise polynomial or its derivative Construct a new piecewise polynomial representing the derivative. Construct a new piecewise polynomial representing the antiderivative. integrate(ranges[, extrapolate]) Compute a definite integral over a piecewise polynomial. integrate_1d(a, b, axis[, extrapolate]) Compute NdPPoly representation for one dimensional definite integral construct_fast(c, x[, extrapolate]) Construct the piecewise polynomial without making checks.

PPoly