#19083: AsymptoticRing: exp & log, cleanup, some improvements, documentation
-------------------------------------+-------------------------------------
       Reporter:  dkrenn             |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.10
      Component:  asymptotic         |   Resolution:
  expansions                         |    Merged in:
       Keywords:                     |    Reviewers:  Daniel Krenn, Clemens
        Authors:  Benjamin Hackl,    |  Heuberger
  Daniel Krenn                       |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  44b52d61e4c1e3229ee8f3ae7c2c375a67bbc247
  u/dkrenn/asy/prototype             |     Stopgaps:
   Dependencies:  #19073             |
-------------------------------------+-------------------------------------

Comment (by dkrenn):

 > 34. `AsymptoticExpansion.__pow__`:
 >       - why is `(y^2 + O(y))^(1/2)` not tested (add a comment?)

 I've refered to #19316.

 >       - test error: "Cannot take ... to the negative exponent"
 >       - test error: "Taking ... to the exponent ... not implemented"

 Added tests.

 >       - rational exponents could be implemented via binomial series
 (follow-up ticket?)

 A ticket (#19316) already exists.

 > 35. `AsymptoticExpansion.log`:
 >       - test error ("several maximal elements")

 Added.

 >       - I am not convinced that having `k` as an `AsymptoticExpansion`
 is very efficient (let the division be in `QQ` and convert later?, cf.
 `rpow`.)

 Changed and made some tests: I could save about 15% cputime :)

 Rest will follow later today.

--
Ticket URL: <http://trac.sagemath.org/ticket/19083#comment:88>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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