#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: coercion | Keywords:
Work_issues: | Upstream: N/A
Reviewer: | Author: Dmitrii Pasechnik
Merged: | Dependencies:
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Comment(by klee):
I agree with leif. I think any in "int(3)^any" should be converted to an
integer n (or -n), and then int(3)^any equals int(3) multiplied n times
with itself (or numerical inverse of int(3) multiplied n times with
itself). Thus int(3)^any is of type float always. If any cannot be
converted to an integer, then an exception should be raised.
Thus int(3)^3, int(3)^QQ(3), int(3)^ZZ(3), int(3)^CC(3) all results in
Pythonic integer 27. int(3)^-3, int(3)^QQ(-3), int(3)^ZZ(-3),
int(3)^CC(-3) all results in Pythonic float 0.037037037037037028.
By the way, I think there is nothing wrong with this
{{{
sage: p(x)=x^-3
sage: p(int(3))
1/27
}}}
because int(3) is converted to a Sage expression first. See
{{{
sage: q(x)=x
sage: type(q(int(3)))
<type 'sage.symbolic.expression.Expression'>
}}}
So I think this ticket and the patch is misdirected.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11779#comment:13>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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