#11779: python ints vs sage ints with respect to powers weirdness
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Reporter: dimpase | Owner: AlexGhitza
Type: defect | Status: needs_review
Priority: major | Milestone: sage-4.7.2
Component: basic arithmetic | Keywords:
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
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Comment(by dimpase):
Replying to [comment:3 leif]:
> So what do you expect the result types to be?
>
> IMHO the fact that `3r^3` yields a Python `int` is pretty correct; with
negative exponents the interpretation is less straightforward.
in all other operations (see the ticket description),
the Sage type takes the precedence over Python. I certainly don't mind
{{{int(3)^int(3)}}} being int though.
in fact, with the patch applied, the behaviour is as follows:
{{{
sage: type(int(3)^3)
<type 'sage.rings.integer.Integer'>
sage: type(int(3)^int(3))
<type 'int'>
sage: type(int(3)^int(-3))
<type 'float'>
sage: type(int(3)^-3)
<type 'sage.rings.rational.Rational'>
}}}
this is the behaviour that is much less confusing.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11779#comment:4>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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