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, thenew polynomial API defined innumpy.polynomial is preferred.A summary of the differences can be found in thetransition guide.

The input arrays are the coefficients (including any coefficientsequal 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.

Notes

Bothu andv must be 0-d or 1-d (ndim = 0 or 1), butu.ndim neednot equalv.ndim. In other words, all four possible combinations -u.ndim=v.ndim=0,u.ndim=v.ndim=1,u.ndim=1,v.ndim=0, andu.ndim=0,v.ndim=1 - work.

Examples

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