Updates:
Status: Fixed
Labels: -NeedsReview PassedReview
Comment #9 on issue 2031 by matt...@gmail.com: Add 'auto' flag to div(),
quo() and rem()
http://code.google.com/p/sympy/issues/detail?id=2031
Now in master:
In [1]: div(x**2 + 1, 2*x - 4)
Out[1]:
⎛ x ⎞
⎜1 + ─, 5⎟
⎝ 2 ⎠
In [2]: div(x**2 + 1, 2*x - 4, auto=False)
Out[2]:
⎛ 2⎞
⎝0, 1 + x ⎠
(the same applies to div() method of Poly). Note that .div() will retract
the ground domain if needed and possible, e.g.:
In [3]: Poly(x**2 + 1).div(Poly(x - 4))
Out[3]: (Poly(x + 4, x, domain='ZZ'), Poly(17, x, domain='ZZ'))
(internally the division was performed over QQ). However, in the following
case:
In [4]: Poly(x**2 + 1).div(Poly(2*x - 4))
Out[4]: (Poly(1/2*x + 1, x, domain='QQ'), Poly(5, x, domain='QQ'))
it was not possible to retract the quotient, so the resulting ground domain
is QQ (although initially the polynomials were over ZZ, due to domain
construction algorithm).
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