#17674: xgcd is badly named on non PID domains
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Reporter: vdelecroix | Owner:
Type: PLEASE CHANGE | Status: new
Priority: major | Milestone: sage-6.5
Component: PLEASE CHANGE | Keywords:
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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Over non PID domains, the method xgcd might not (and can not in general)
return the gcd as its first argument
{{{
sage: x = polygen(ZZ)
sage: (x+2).gcd(x+4) # no common factor but...
1
sage: (x+2).xgcd(x+4) # ... the ideal (x+2, x+4) is not principal
(2, -1, 1)
}}}
See [https://groups.google.com/forum/#!topic/sage-devel/JV8fCPUqTzo this
sage-devel thread] where it was suggested to change the method name to
`pseudo_xgcd` or `_resultant_xgcd`.
See also #17671 that fix some compatibility issues for gcd/xgcd over PID.
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Ticket URL: <http://trac.sagemath.org/ticket/17674>
Sage <http://www.sagemath.org>
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