#19540: AsymptoticExpansion.factorial
-------------------------------------+-------------------------------------
       Reporter:  dkrenn             |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.1
      Component:  asymptotic         |   Resolution:
  expansions                         |    Merged in:
       Keywords:                     |    Reviewers:  Clemens Heuberger
        Authors:  Daniel Krenn       |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  0e6a0c554fbff9ba6fd36f5309e9ec6e7a8eb7f3
  u/cheuberg/asy/factorial           |     Stopgaps:
   Dependencies:  #19306, #19521,    |
  #19528, #19944                     |
-------------------------------------+-------------------------------------
Changes (by cheuberg):

 * commit:  3bd6573796bda4091a17b81bef1ede91e3295318 =>
     0e6a0c554fbff9ba6fd36f5309e9ec6e7a8eb7f3


Comment:

 I added a doctest because I wanted to know what happens for a generic
 growth group. At first glance, it was surprising that I do get an
 `AttributeError` instead of a `NotImplementedError`. The method `is_one`
 seems to be contributed by the category.

 I noticed that the docstring of `GenericGrowthGroup` (and the other growth
 groups) says "It has to be a subcategory of Join of Category of groups and
 Category of posets. This is also the default category if None is
 specified." which is a relict from the past.

 Furthermore, we have
 {{{
     # set everything up to determine category
     from sage.categories.sets_cat import Sets
     from sage.categories.posets import Posets
     from sage.categories.magmas import Magmas
     from sage.categories.additive_magmas import AdditiveMagmas
 }}}
 in the class `GenericGrowthGroup` which shows all these Categories in the
 documentation, similar as #20045.

 Shall we fix those in a separate ticket or right here?

 Please cross-review my commit and set to positive_review if you are
 satisfied.
 ----
 New commits:
 
||[http://git.sagemath.org/sage.git/commit/?id=0e6a0c554fbff9ba6fd36f5309e9ec6e7a8eb7f3
 0e6a0c5]||{{{Trac #19540: additional doctest}}}||

--
Ticket URL: <http://trac.sagemath.org/ticket/19540#comment:15>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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