Updates:
Status: Fixed
Comment #16 on issue 199 by mattpap: Factoring univariate polynomials and
rational functions
http://code.google.com/p/sympy/issues/detail?id=199
Almost everything is implemented in new polys, e.g.:
In [1]: Basic.keep_sign = True
In [2]: factor((x**2-1)/(x**2 - 4*x + 4), frac=True)
Out[2]:
(x + 1)⋅(x - 1)
───────────────
2
(x - 2)
In [3]: a = AlgebraicNumber((-1)**(S(1)/5), alias='alpha')
In [4]: cyclotomic_poly(5, x)
Out[4]:
4 3 2
x + x + x + x + 1
In [5]: factor(_, extension=a)
Out[5]:
⎛ 2⎞ ⎛ 3 2 ⎞ ⎛ 3⎞
(x + α)⋅⎝x - α ⎠⋅⎝x - α + α - α + 1⎠⋅⎝x + α ⎠
The only missing thing is splitting factorization ('split' keyword). This
will be
added when RootOf and related tools will be improved/implemented. A
separate issue
will be open for this (if necessary).
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