#7740: Speed up MixedIntegerLinearProgram
-------------------------+--------------------------------------------------
   Reporter:  ncohen     |       Owner:  jkantor     
       Type:  defect     |      Status:  needs_review
   Priority:  major      |   Milestone:  sage-4.3.1  
  Component:  numerical  |    Keywords:              
Work_issues:             |      Author:              
   Upstream:  N/A        |    Reviewer:              
     Merged:             |  
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Changes (by ncohen):

  * status:  needs_info => needs_review


Comment:

 This patch adds to the file numerical.mip a class LinearFunction which
 avoid using the much more general symbolic expressions from Sage ( as we
 only need to define linear functions ).

 Before :

 {{{
 sage: from sage.graphs.graph_coloring import vertex_coloring
 sage: g = graphs.CirculantGraph(120, [2,3,5,7])
 sage: timeit("vertex_coloring(g)")
 5 loops, best of 3: 3.94 s per loop
 }}}

 After :

 {{{
 sage: from sage.graphs.graph_coloring import vertex_coloring
 sage: g = graphs.CirculantGraph(120, [2,3,5,7])
 sage: timeit("vertex_coloring(g)")
 5 loops, best of 3: 2.18 s per loop
 }}}

 The next way to speed up this class would be, methinks, to cythonize it. I
 tried it this time but got stuck by the fact that the solving functions (
 solveCoin, solveGlpk ) are not directly included in Sage and installed by
 the packages... The best way would really be to move these sources into
 Sage. It would also solve solve the problem of having to update both
 packages and numerical.mip t the same time .. :-/

 Nathann

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7740#comment:3>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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