#13438: univariate polynomial _xgcd only over fields
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Reporter: saraedum | Owner: AlexGhitza
Type: task | Status: new
Priority: trivial | Milestone: sage-5.4
Component: basic arithmetic | Resolution:
Keywords: gcd, xgcd, beginner | Work issues:
Report Upstream: N/A | Reviewers:
Authors: Julian Rueth | Merged in:
Dependencies: | Stopgaps:
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Description changed by saraedum:
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 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.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13438#comment:6>
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