#5925: [with patch, needs review] Improve speed of 
CombinatorialAlgebra.multiply()
---------------------------+------------------------------------------------
 Reporter:  jdc            |       Owner:  mhansen
     Type:  enhancement    |      Status:  new    
 Priority:  minor          |   Milestone:         
Component:  combinatorics  |    Keywords:         
---------------------------+------------------------------------------------
 - Treat the case where _multiply_basis returns a monomial specially, to
 avoid creating lots of temporary dictionaries.  Speeds things up
 significantly.
 - Use z_elt.get(m,ABRzero) to provide a default value.  Faster.
 - Pull left_c * right_c out of inner loop.  Didn't time this, but it must
 be faster.
 - Replace first use of BR with ABR so that BR isn't used twice in the same
 function for different rings.
 - Add doctests so the four major cases are all tested locally.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5925>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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