#16721: implement gcd(a,b,hold=True)
-------------------------------+------------------------
Reporter: rws | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.3
Component: symbolics | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps: todo
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Changes (by rws):
* type: defect => enhancement
Old description:
> Defect because of
> {{{
> sage: x=var('x')
> sage: gcd(x,4)
> 1
> sage: gcd(x,4,hold=True)
> ---------------------------------------------------------------------------
> Traceback (most recent call last)
> ...
> TypeError: gcd() takes no keyword arguments
> }}}
> See also #15497
New description:
The implemented behaviour of `gcd` is consistent if its arguments are
rational numbers or polynomials. Trying to give a symbolic variable will
convert to polynomial which behaves unexpectedly:
{{{
sage: x=var('x')
sage: gcd(x,4)
1
}}}
The natural way to handle it is using the keyword `hold`:
{{{
sage: gcd(x,4,hold=True)
---------------------------------------------------------------------------
Traceback (most recent call last)
...
TypeError: gcd() takes no keyword arguments
}}}
As comment:18 shows this may not be easy and involve other changes.
See also #15497
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Ticket URL: <http://trac.sagemath.org/ticket/16721#comment:17>
Sage <http://www.sagemath.org>
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