numpy.polydiv#

numpy.polydiv(u, v)[source]#

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 transition guide.

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

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

>>> 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]))