#16453: Cythonize quiver paths
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Reporter: SimonKing | Owner:
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.4
Component: algebra | Resolution:
Keywords: | Merged in:
Authors: Simon King | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/SimonKing/cythonize_quiver_paths | f60c7c1e2dafa1930ef23319d8d3917003ad7c9a
Dependencies: #15820 | Stopgaps:
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Comment (by nthiery):
Replying to [comment:27 SimonKing]:
> My counting formula is wrong, but in addition to that there seems to be
a problem with quotient fields of rational polynomial rings. This shall be
tracked in a different ticket, of course:
> {{{
> sage: P.<t> = QQ[]
> sage: p = 4/(-4*t)
> sage: p # OK, fractions are not automatically reduced
> 4/(-4*t)
> sage: p.reduce()
> sage: p # What the heck...
> 4/(-4*t)
> sage: p == -1/t # At least sage gets this right
> True
> }}}
It's not completely unreasonable: in a field, the gcd of two elements can
be arguably always set to 1. This is not what Sage does, but that's
presumably Singular's choice.
{{{
sage: gcd(4/1, 4/1)
4
}}}
I don't know if it helps, but if you do the same calculation over ZZ, you
get the desired result.
--
Ticket URL: <http://trac.sagemath.org/ticket/16453#comment:28>
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