#20078: Minimal non faces of simplicial complexes: Improve speed
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       Reporter:  jipilab            |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.1
      Component:  algebraic          |   Resolution:
  topology                           |    Merged in:
       Keywords:  simplicial         |    Reviewers:
  complex, minimal nonface           |  Work issues:
        Authors:  Jean-Philippe      |       Commit:
  Labbé                              |  a26ad0bfff0273656cebb060691056dd75fc2f7b
Report Upstream:  N/A                |     Stopgaps:
         Branch:                     |
  u/jipilab/minnonface               |
   Dependencies:                     |
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Comment (by tscrim):

 Just from a quick lookthrough:

 - I would use `itertools` instead `Subsets`:
   {{{
 sage: S = (1,2,3,4)
 sage: %timeit list(Subsets(S,2))
 10000 loops, best of 3: 162 µs per loop
 sage: %timeit list(itertools.combinations(S,2))
 The slowest run took 27.61 times longer than the fastest. This could mean
 that an intermediate result is being cached.
 1000000 loops, best of 3: 907 ns per loop
 sage: S = range(20)
 sage: %timeit list(itertools.combinations(S,9))
 100 loops, best of 3: 14.8 ms per loop
 sage: %timeit list(Subsets(S,9))
 1 loop, best of 3: 3.8 s per loop
   }}}
   (Actually, we probably should change the iterator for `Subset` to use
 `itertools`.)
 - In general, I would try to avoid using Sage's `Set` at much as possible
 (which we should cythonize). Instead, I would use python's
 (`frozen`)`set`s. This way we avoid the overhead.

--
Ticket URL: <http://trac.sagemath.org/ticket/20078#comment:13>
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