#19494: Make finite word method nb_subword_occurences_in much faster
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       Reporter:         |        Owner:
  slabbe                 |       Status:  needs_work
           Type:         |    Milestone:  sage-6.10
  enhancement            |   Resolution:
       Priority:  major  |    Merged in:
      Component:         |    Reviewers:  Vincent Delecroix
  combinatorics          |  Work issues:
       Keywords:         |       Commit:
        Authors:         |  65dae48833cb03071ac122b6e6bdb6ccf4b0340c
  Sébastien Labbé        |     Stopgaps:
Report Upstream:  N/A    |
         Branch:         |
  public/19494           |
   Dependencies:         |
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Comment (by slabbe):

 Replying to [comment:25 vdelecroix]:
 > I suggest to keep only one algorithm (now that it is right).

 I agree.

 > The problem did not come from `0` vs `ZZ.zero()` but from the fact that
 you need the list to be sorted the other way around (I introduced a
 `list.reverse()`) in my commit).

 Ok, I see! The doctest was fine because 0110 is a palindrome or something?
 Maybe we should change that first doctest then...

 > It takes time to import inside a method, I would prefer to not do it.
 But it is possible to import the module `collections` and not
 `defaultdict`.

 OK.

 > There is an interesant thing with this simple algorithm, it actually
 computes the number of occurrences of all prefixes of `u` in all prefixes
 of `v`! But we currently ignore them. People might be interested in more
 information... but they can also implement that by themselves.

 Maybe, we can add a {{{..NOTE::}}} about it.

--
Ticket URL: <http://trac.sagemath.org/ticket/19494#comment:26>
Sage <http://www.sagemath.org>
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