#13439: padic xgcd incorrect
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Reporter: saraedum | Owner: roed
Type: defect | Status: new
Priority: minor | Milestone: sage-5.4
Component: padics | Keywords: gcd
Work issues: | Report Upstream: N/A
Reviewers: | Authors:
Merged in: | Dependencies:
Stopgaps: |
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{{{xgcd}}} is broken for padics:
{{{
sage: R.<x> = Qp(3,3)[]
sage: f = 3*x + 7
sage: g = 5*x + 9
sage: f.xgcd(f*g)[0].is_one()
True
sage: R.<x> = Qp(3)[]
sage: f = 490473657*x + 257392844/729
sage: g = 225227399/59049*x - 8669753175
sage: f.xgcd(f*g)[0].is_one()
True
}}}
The algorithm used is the standard Euclidean algorithm which is afaik not
correct for inexact fields.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13439>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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