numpy.polydiv()

numpy.polydiv(u, v) [source]

Returns the quotient and remainder of polynomial division.

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

Parameters:

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.

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.

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

$\frac{3x^2 + 5x + 2}{2x + 1} = 1.5x + 1.75, remainder 0.25$

>>> 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]))

Links:

https://docs.scipy.org/doc/numpy-1.11.0/reference/generated/numpy.polydiv.html

doc_NumPy

2025-01-10 15:47:30

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