#19161: LatticePoset: faster is_complemented()
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   Reporter:  jmantysalo     |            Owner:
       Type:  enhancement    |           Status:  new
   Priority:  major          |        Milestone:  sage-6.9
  Component:  combinatorics  |         Keywords:
  Merged in:                 |          Authors:  Jori Mäntysalo
  Reviewers:                 |  Report Upstream:  N/A
Work issues:                 |           Branch:
     Commit:                 |     Dependencies:
   Stopgaps:                 |
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 As playing with matrices is much faster than looping over elements, this
 patch makes `is_complemented()` much faster.

 Let `L10` bet the list of all lattices of 10 elements and `B10` be the
 Boolean lattice with `2^10` elements. Then without the patch it takes 7,76
 seconds to run `len([L for L in L10 if L.is_complemented()])` and 101,84
 seconds to run `L.is_complemented()`. With the patch the time reduces to
 0,38 and 0,23 seconds.

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Ticket URL: <http://trac.sagemath.org/ticket/19161>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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