#9457: power series comparison should use padded_list
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Reporter: niles | Owner: malb
Type: defect | Status: needs_review
Priority: minor | Milestone: sage-4.5
Component: commutative algebra | Keywords:
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Description changed by niles:
Old description:
> Comparison of power series uses list instead of padded_list; this means
> that power series equality can fail:
>
> {{{
> sage: A.<t> = PowerSeriesRing(ZZ)
> sage: g = t + t^3 + t^5 + O(t^6); g
> t + t^3 + O(t^6)
> sage: [g == g.add_bigoh(i) for i in range(7)]
> [True, True, False, False, True, False, True] # should be all true
> sage: g.add_bigoh(3).list()
> [1]
> sage: g.add_bigoh(3).padded_list()
> [1, 0, 0]
> }}}
New description:
Comparison of power series uses list instead of padded_list; this means
that power series equality can fail:
{{{
sage: A.<t> = PowerSeriesRing(ZZ)
sage: g = t + t^3 + t^5 + O(t^6); g
t + t^3 + t^5 + O(t^6)
sage: [g == g.add_bigoh(i) for i in range(7)]
[True, True, False, False, True, False, True] # should be all true
sage: g.add_bigoh(3).list()
[1]
sage: g.add_bigoh(3).padded_list()
[1, 0, 0]
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9457#comment:2>
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