#15931: Implement a proper hash function for (combinatorial) free module 
elements
-------------------------------------+-------------------------------------
       Reporter:  nthiery            |        Owner:
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.2
      Component:  linear algebra     |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Nicolas M. ThiƩry  |    Reviewers:  Florent Hivert
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/nthiery/ticket/15931             |  e8fe5eb8943debdb457c38d3264167d66e7b2b14
   Dependencies:                     |     Stopgaps:
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Comment (by nthiery):

 Apparently, yes; here is the timing after adding a @cached_method:
 {{{
     sage: F = CombinatorialFreeModule(QQ, ['a','b','c'])
     sage: B = F.basis()
     sage: f = B['a'] + 3*B['c']
     sage: %timeit hash(f)
     1000000 loops, best of 3: 582 ns per loop
 }}}

 It's almost an order of magnitude faster (more with larger elements),
 assuming we often recompute the hash value of elements.
 Do we want to do this?

--
Ticket URL: <http://trac.sagemath.org/ticket/15931#comment:4>
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