Comment #40 on issue 1598 by smichr: New polynomials manipulation module
http://code.google.com/p/sympy/issues/detail?id=1598
One other observation on polys3...when sending roots a Poly, even if the
heuristics
fail, the whole process shouldn't fail if the Poly is 4th order or less--a
call to
the roots_foo (e.g. roots_cubic) should be called:
in the following, poly was the 4th order Poly((-42 + 6*a**2)*x**4 + (96 +
48*a**2)*x**3 + (288 + 648*a + 144*a**2)*x**2 + (384 + 864*a + 624*a**2)*x
+ 192 +
432*a + 312*a**2 + 108*a**3, x, domain='ZZ[a]')
Traceback (most recent call last):
File "C:\Documents and Settings\chris\sympy\my\___my_util\symp4.py", line
1036, in
solv1
sols=roots(poly).keys()
File "C:\Documents and Settings\chris\sympy\sympy\polys\polyroots.py",
line 427, in
roots
result = _try_decompose(f)
File "C:\Documents and Settings\chris\sympy\sympy\polys\polyroots.py",
line 343, in
_try_decompose
factors = f.decompose()
File "C:\Documents and Settings\chris\sympy\sympy\polys\polytools.py",
line 1052,
in decompose
result = f.rep.decompose()
File "C:\Documents and Settings\chris\sympy\sympy\polys\polyclasses.py",
line 1393,
in decompose
return map(f.per, dup_decompose(f.rep, f.dom))
File "C:\Documents and Settings\chris\sympy\sympy\polys\densetools.py",
line 1849,
in dup_decompose
result = _dup_decompose(f, K)
File "C:\Documents and Settings\chris\sympy\sympy\polys\densetools.py",
line 1809,
in _dup_decompose
h = _dup_right_decompose(f, s, K)
File "C:\Documents and Settings\chris\sympy\sympy\polys\densetools.py",
line 1779,
in _dup_right_decompose
g[s-i] = K.quo(coeff, i*r*lc)
File "C:\Documents and Settings\chris\sympy\sympy\polys\algebratools.py",
line 387,
in quo
raise ExactQuotientFailed('%s does not divide %s in %s' % (b, a, self))
ExactQuotientFailed: DMP([12, 0, -84], ZZ) does not divide DMP([48, 0, 96],
ZZ) in ZZ[a]
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