#15269: Speeding up tableau's cells_containing and weight methods
-----------------------------+-------------------------------------
   Reporter:  darij          |            Owner:
       Type:  enhancement    |           Status:  new
   Priority:  minor          |        Milestone:  sage-5.13
  Component:  combinatorics  |         Keywords:  tableau, combinat
  Merged in:                 |          Authors:  Darij Grinberg
  Reviewers:                 |  Report Upstream:  N/A
Work issues:                 |           Branch:
     Commit:                 |     Dependencies:
   Stopgaps:                 |
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 I know that the current implementation of tableaux in Sage is not long for
 this world (mutability WTF), but here are two small pieces of simple code
 that can be improved:
 Before:
 {{{
 sage: %timeit
 
Tableau([[1,1,2,8,9],[2,5,6,11],[3,7,7,13],[4,8,9],[5],[13],[14]]).cells_containing(4)
 1000 loops, best of 3: 449 us per loop
 }}}
 After:
 {{{
 sage: %timeit
 
Tableau([[1,1,2,8,9],[2,5,6,11],[3,7,7,13],[4,8,9],[5],[13],[14]]).cells_containing(4)
 10000 loops, best of 3: 81.5 us per loop
 }}}
 Before:
 {{{
 sage: %timeit
 Tableau([[1,1,2,8,9],[2,5,6,11],[3,7,7,13],[4,8,9],[5],[13],[14]]).weight()
 10000 loops, best of 3: 190 us per loop
 }}}
 After:
 {{{
 sage: %timeit
 Tableau([[1,1,2,8,9],[2,5,6,11],[3,7,7,13],[4,8,9],[5],[13],[14]]).weight2()
 10000 loops, best of 3: 87.4 us per loop
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/15269>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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