#13929: Wrong comparison of sparse
------------------------------+---------------------------------------------
   Reporter:  tfeulner        |             Owner:  jason, was                  
   
       Type:  defect          |            Status:  new                         
   
   Priority:  major           |         Milestone:  sage-5.6                    
   
  Component:  linear algebra  |          Keywords:  comparison, sparse, free 
module
Work issues:                  |   Report Upstream:  N/A                         
   
  Reviewers:                  |           Authors:  Thomas Feulner              
   
  Merged in:                  |      Dependencies:                              
   
   Stopgaps:                  |  
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 The comparison of sparse vectors gives wrong results at the moment:

 {{{
 sage: V = FreeModule( GF(3), 2, sparse=True)
 sage: a = V([0,1])
 sage: b = V([1,0])
 sage: cmp(a, b)
 1 # should be -1, since we are using the lexicographic order
 }}}

 In particular, this leads to different results when using sparse and dense
 vectors at the same time:

 {{{
 sage: cmp(a.dense_vector(), b)
 -1
 sage: cmp(a, b.dense_vector())
 1
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13929>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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