#18987: Parallel computation for TilingSolver.number_of_solutions
-------------------------+-------------------------------------------------
       Reporter:         |        Owner:
  slabbe                 |       Status:  needs_review
           Type:         |    Milestone:  sage-6.9
  enhancement            |   Resolution:
       Priority:  major  |    Merged in:
      Component:         |    Reviewers:  Vincent Delecroix
  combinatorics          |  Work issues:
       Keywords:         |       Commit:
        Authors:         |  0d68ecec28cb92d9e78a92d6e733d42b3e8941c1
  Sébastien Labbé        |     Stopgaps:
Report Upstream:  N/A    |
         Branch:         |
  public/18987           |
   Dependencies:         |
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Comment (by vdelecroix):

 Replying to [comment:53 slabbe]:
 > Replying to [comment:46 vdelecroix]:
 > > Perhaps the way it is implemented is wrong. For example
 > > {{{
 > > sage: %timeit P = [s.matrix() for s in SymmetricGroup(4)]
 > > 1 loops, best of 3: 1.27 ms per loop
 > > }}}
 >
 > I removed the `cached_method`. Do you want me to replace the code based
 on `WeylGroup(['B',n])` by the `SymmetricGroup` + `diagonal_matrix of
 signs` code you propose? I think that this improvement should be done in
 `WeylGroup` in another ticket.

 Nope. I also the think that the `WeylGroup` code has to be improved.

 > Also, for timing improvements in that file `tiling.py`, there is a
 another more important thing to spend time on because a lot of time is
 spent creating vectors from tuple (because coordinates are stored as
 tuple). This should be done in another ticket.

 Did you notice that
 {{{
 sage: t = map(vector, t)
 }}}
 is much slower than
 {{{
 sage: V = FreeModule(ZZ,12)
 sage: t = map(V,t)
 }}}
 (I measure a factor x8 in `__sub__` and `__add__` for example)

 Moreover, everything would be faster if you would store integer vectors
 instead of tuples (and an attribute `self._free_module`). Why aren't you
 doing that?

--
Ticket URL: <http://trac.sagemath.org/ticket/18987#comment:54>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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