#14267: alternative algorithm for the lattice of order ideals of a poset
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   Reporter:  chapoton       |             Owner:  tbd     
       Type:  enhancement    |            Status:  new     
   Priority:  minor          |         Milestone:  sage-5.9
  Component:  PLEASE CHANGE  |          Keywords:  poset   
Work issues:                 |   Report Upstream:  N/A     
  Reviewers:                 |           Authors:          
  Merged in:                 |      Dependencies:          
   Stopgaps:                 |  
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 I propose to implement another algorithm, which seems to be slightly
 faster than the existing implementation, at the cost of being defined on
 antichains instead of order ideals.
 {{{
 sage: P = Posets.ChainPoset(5)
 sage: Q = P.product(P)
 sage: Q.order_ideals_lattice()
 Finite lattice containing 252 elements
 sage: new_J(Q)
 Finite lattice containing 252 elements
 sage: new_J(Q).is_isomorphic(Q.order_ideals_lattice())
 True
 sage: timeit('Q.order_ideals_lattice()')
 5 loops, best of 3: 5.25 s per loop
 sage: timeit('new_J(Q)')
 5 loops, best of 3: 3.45 s per loop
 }}}

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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14267>
Sage <http://www.sagemath.org>
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