numpy.polydiv

numpy.polydiv(u, v)

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

uarray_like or poly1d

Dividend polynomial’s coefficients.

varray_like or poly1d

Divisor polynomial’s coefficients.

Returns

qndarray

Coefficients, including those equal to zero, of the quotient.

rndarray

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

System Message: WARNING/2 (\frac{3x^2 + 5x + 2}{2x + 1} = 1.5x + 1.75, remainder 0.25 )

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>>> 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]))

numpy.polyadd numpy.polymul