Module « scipy.interpolate »

Classe « NdPPoly »

Informations générales

Héritage

builtins.object
    NdPPoly

Définition

class NdPPoly(builtins.object):

Description _{[extrait de NdPPoly.__doc__]}

    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
    ----------
    c : ndarray, shape (k0, ..., kn, m0, ..., mn, ...)
        Polynomial coefficients, with polynomial order `kj` and
        `mj+1` intervals for each dimension `j`.
    x : ndim-tuple of ndarrays, shapes (mj+1,)
        Polynomial breakpoints for each dimension. These must be
        sorted in increasing order.
    extrapolate : bool, optional
        Whether to extrapolate to out-of-bounds points based on first
        and last intervals, or to return NaNs. Default: True.

    Attributes
    ----------
    x : tuple of ndarrays
        Breakpoints.
    c : ndarray
        Coefficients of the polynomials.

    Methods
    -------
    __call__
    derivative
    antiderivative
    integrate
    integrate_1d
    construct_fast

    See also
    --------
    PPoly : piecewise polynomials in 1D

    Notes
    -----
    High-order polynomials in the power basis can be numerically
    unstable.

    

Constructeur(s)

Signature du constructeur	Description
__init__(self, c, x, extrapolate=None)

Liste des opérateurs

Opérateurs hérités de la classe object

__eq__, __ge__, __gt__, __le__, __lt__, __ne__

Méthodes héritées de la classe object

__delattr__, __dir__, __format__, __getattribute__, __hash__, __init_subclass__, __reduce__, __reduce_ex__, __repr__, __setattr__, __sizeof__, __str__, __subclasshook__