#20051: Singularity analysis: fix and speed up singularity analysis (log-type)
without renormalization
-------------------------------------+-------------------------------------
       Reporter:  cheuberg           |        Owner:
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.1
      Component:  asymptotic         |   Resolution:
  expansions                         |    Merged in:
       Keywords:  singularity        |    Reviewers:
  analysis                           |  Work issues:
        Authors:  Clemens Heuberger  |       Commit:
Report Upstream:  N/A                |  4f32094ab2f8178738eca5049580e82dcd0d1900
         Branch:  u/cheuberg/asy     |     Stopgaps:
  /improve-singularity-analysis-     |
  log-not-normalized                 |
   Dependencies:  #20020, #20056     |
-------------------------------------+-------------------------------------

Comment (by behackl):

 Replying to [comment:7 cheuberg]:
 > Replying to [comment:6 behackl]:
 > > Hello! I've reviewed your changes, they look good to me in general. I
 only have some minor comments:
 > >
 > > - I'm not sure whether so much math should occur in the `INPUT`-block
 in the description of the `normalized`-parameter. What about writing
 something like "determines, whether the normalization factor `z^-(\beta +
 \delta)` is taken into account"? The detailed description could either go
 into a `NOTE`-block or just be in the extended method description (before
 `INPUT`).
 >
 > I do not like a description like "whether the normalization factor ...
 is taken into account" because this is not a very clear description. I
 prefer to clearly state the fact, so that no ambiguities can arise.
 >

 I agree that unabiguity is more important than brevity in this case.

 > If you want me to move this second variant to the top, say "the n-th
 coefficient of ... (if `normalize=True`, the default) or  of ... (if
 `normalize=False`), I can do that.
 >

 Yes, I think that mentioning the parameter in the extended function
 description too would be a good idea. Could you add such a statement?


 > > - I see that you introduced a doctest which checks for the (currently)
 erroneous output in
 
[http://git.sagemath.org/sage.git/commit/?id=b336046c20b400eb5ecdde199f35e1eec2793a47
 b336046]. Was there no such doctest before, or have I missed something?
 >
 > There was one incorrect doctest in the growth group `log(x)^2` where the
 incorrect result was stated (apparently, nobody checked whether the result
 there is correct). In any case, I wanted to have a doctest checking the
 correct behaviour right at the source of the problem.

 I see, I've missed these lines when comparing diffs. The output of the
 doctest is now mathematically correct.

--
Ticket URL: <http://trac.sagemath.org/ticket/20051#comment:8>
Sage <http://www.sagemath.org>
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