#15790: GCD of sparse univariate polynomials over ZZ
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Reporter: bruno | Owner:
Type: defect | Status: new
Priority: minor | Milestone: sage-6.0
Component: basic arithmetic | Keywords: GCD sparse
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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The GCD of two sparse polynomials over `ZZ` is not computed. If the
polynomials are in dense representation or if they are in sparse
representation but defined over `QQ`, there is no problem.
{{{
sage: R1.<x>=PolynomialRing(ZZ,'x',sparse=true)
sage: R2.<x>=PolynomialRing(ZZ,'x',sparse=false)
sage: R3.<x>=PolynomialRing(QQ,'x',sparse=true)
sage: p=x^2-3*x+2
sage: q=x^2-1
sage: gcd(R2(p),R2(q))
x - 1
sage: gcd(R3(p),R3(q))
x - 1
sage: gcd(R1(p),R1(q))
---------------------------------------------------------------------------
TypeError Traceback (most recent call
last)
<ipython-input-6-0d7380207fef> in <module>()
----> 1 gcd(R1(p),R1(q))
/home/bgrenet/bin/sage-6.0-x86_64-Linux/local/lib/python2.7/site-
packages/sage/rings/arith.pyc in gcd(a, b, **kwargs)
1605 return ZZ(a).gcd(ZZ(b))
1606 except TypeError:
-> 1607 raise TypeError("unable to find gcd")
1608 return GCD(b, **kwargs)
1609
TypeError: unable to find gcd
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/15790>
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