#20086: ZZ[X], QQ[X]: allow arbitrary powers of constant polynomials
-------------------------------------+-------------------------------------
       Reporter:  cheuberg           |        Owner:
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.1
      Component:  basic arithmetic   |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Clemens Heuberger  |    Reviewers:  Benjamin Hackl
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/cheuberg/polynomials/power       |  892109ac4f48a4a32d35671365ecceb0d1c9e0bf
   Dependencies:                     |     Stopgaps:
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Comment (by cheuberg):

 Replying to [comment:25 vdelecroix]:
 > A possible solution could be:
 >  - allow `polynomial^rational` as much as we can (i.e. for some constant
 polynomials for the sake of this ticket). For more general polynomial we
 can for now raise a `NotImplementedError`.
 >  - disallow `polynomial^polynomial` even if the power is a constant
 polynomial. In that case, the error should be a `TypeError`. This is the
 current behavior for some polynomial rings but not all
 > {{{
 > sage: ZZ['x'].gen() ** ZZ['x'].one()
 >  -> TypeError
 > sage: QQ['x'].gen() ** ZZ['x'].one()
 >  -> TypeError
 > sage: RR['x'].gen() ** ZZ['x'].one()
 > x
 > }}}
 >
 > What do you think? Would that solution fit your needs?

 As far as I can see without implementing it and `make ptestlong`, this
 fits perfectly.

--
Ticket URL: <http://trac.sagemath.org/ticket/20086#comment:26>
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