#13438: univariate polynomial _xgcd only over fields
-------------------------------------+-------------------------------------
Reporter: saraedum | Owner: AlexGhitza
Type: task | Status: needs_review
Priority: trivial | Milestone: sage-5.11
Component: basic arithmetic | Resolution:
Keywords: gcd, xgcd, | Merged in:
beginner | Reviewers: Travis Scrimshaw,
Authors: Julian Rueth | Michiel Kosters
Report Upstream: N/A | Work issues:
Branch: | Dependencies:
Stopgaps: |
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Old description:
> {{{sage.rings.polynomial.polynomial_element.Polynomial}}} provides an
> implementation for {{{_xgcd}}}. This implementation is not correct for
> polynomials over arbitrary rings. Therefore it should be moved to
> {{{sage.rings.polynomial.polynomial_element_generic.Polynomial_generic_field}}}.
>
> The way it currently is, doesn't cause any bugs (except for one which
> already has a stopgap warning) because only elements of a PID call the
> {{{_xgcd}}} method.
New description:
{{{sage.rings.polynomial.polynomial_element.Polynomial}}} provides an
implementation for {{{_xgcd}}}. This implementation is not correct for
polynomials over arbitrary rings. Therefore it should be moved to
{{{sage.rings.polynomial.polynomial_element_generic.Polynomial_generic_field}}}.
The way it currently is, doesn't cause any bugs (except for one which
already has a stopgap warning) because only elements of a PID call the
{{{_xgcd}}} method.
----
Apply: [attachment:trac_13438_header.patch]
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Comment (by tscrim):
Looks good to me. Thank you.
For patchbot:
Apply: trac_13438_header.patch
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Ticket URL: <http://trac.sagemath.org/ticket/13438#comment:12>
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