#19494: Make finite word method nb_subword_occurences_in much faster
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       Reporter:  slabbe             |        Owner:
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.10
      Component:  combinatorics      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Sébastien Labbé    |    Reviewers:  Vincent Delecroix
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/slabbe/19494-folded              |  580eb72f9868895e6cb7e773324bcf22995ac15e
   Dependencies:                     |     Stopgaps:
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Comment (by vdelecroix):

 In particular your example where 'vincent' is slower is not an example
 {{{
 sage: v = Word([0,1,0,1])
 sage: u = words.ThueMorseWord()[:100000]
 sage: %time v.nb_subword_occurrences_in(u, 'vincent')
 CPU times: user 428 ms, sys: 20 ms, total: 448 ms
 Wall time: 410 ms
 260416666250000000
 sage: %time v.nb_subword_occurrences_in(u, 'vincent')
 CPU times: user 148 ms, sys: 40 ms, total: 188 ms
 Wall time: 151 ms
 260416666250000000
 sage: %time v.nb_subword_occurrences_in(u, 'matrices')
 CPU times: user 312 ms, sys: 12 ms, total: 324 ms
 Wall time: 297 ms
 260416666250000000
 }}}
 Though, it would be better to make it return Sage integers instead of
 Python integers.

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Ticket URL: <http://trac.sagemath.org/ticket/19494#comment:16>
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