#12116: perfect_power for integers
-----------------------------+----------------------------------------------
Reporter: roed | Owner: tbd
Type: enhancement | Status: new
Priority: major | Milestone: sage-4.8
Component: PLEASE CHANGE | Keywords:
Work_issues: | Upstream: Not yet reported upstream; Will
do shortly.
Reviewer: | Author: David Roe
Merged: | Dependencies:
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Currently there are two functions for testing whether an integer is a
perfect power:
{{{
sage: 8.is_power()
True
sage: 8.is_perfect_power()
True
}}}
* This patch deprecates `is_perfect_power`.
* It implements a new function, `perfect_power`, wrapping Pari's
`ispower` function, expressing an integer in the form a^b^ with `b`
maximal. This revealed a bug in Pari for negative even powers: I'm in the
process of reporting it.
* It adds cross references between `is_power`, `is_power_of`,
`is_prime_power` and `perfect_power`.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12116>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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