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Module « numpy »

Fonction polydiv - module numpy

Signature de la fonction polydiv

def polydiv(u, v) 

Description

help(numpy.polydiv)

Returns the quotient and remainder of polynomial division.

.. note::
   This forms part of the old polynomial API. Since version 1.4, the
   new polynomial API defined in `numpy.polynomial` is preferred.
   A summary of the differences can be found in the
   :doc:`transition guide </reference/routines.polynomials>`.

The input arrays are the coefficients (including any coefficients
equal to zero) of the "numerator" (dividend) and "denominator"
(divisor) polynomials, respectively.

Parameters
----------
u : array_like or poly1d
    Dividend polynomial's coefficients.

v : array_like or poly1d
    Divisor polynomial's coefficients.

Returns
-------
q : ndarray
    Coefficients, including those equal to zero, of the quotient.
r : ndarray
    Coefficients, including those equal to zero, of the remainder.

See Also
--------
poly, polyadd, polyder, polydiv, polyfit, polyint, polymul, polysub
polyval

Notes
-----
Both `u` and `v` must be 0-d or 1-d (ndim = 0 or 1), but `u.ndim` need
not equal `v.ndim`. In other words, all four possible combinations -
``u.ndim = v.ndim = 0``, ``u.ndim = v.ndim = 1``,
``u.ndim = 1, v.ndim = 0``, and ``u.ndim = 0, v.ndim = 1`` - work.

Examples
--------
.. math:: \frac{3x^2 + 5x + 2}{2x + 1} = 1.5x + 1.75, remainder 0.25

>>> import numpy as np
>>> x = np.array([3.0, 5.0, 2.0])
>>> y = np.array([2.0, 1.0])
>>> np.polydiv(x, y)
(array([1.5 , 1.75]), array([0.25]))

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