#14054: Cythoned UniqueRepresentation
-----------------------------------------------+----------------------------
       Reporter:  SimonKing                    |         Owner:  tbd            
                                         
           Type:  enhancement                  |        Status:  needs_work     
                                         
       Priority:  major                        |     Milestone:  sage-5.8       
                                         
      Component:  performance                  |    Resolution:                 
                                         
       Keywords:  cython UniqueRepresentation  |   Work issues:  Fix 
non-uniqueness trouble of combinatorial free modules
Report Upstream:  N/A                          |     Reviewers:  Travis 
Scrimshaw                                        
        Authors:  Simon King                   |     Merged in:                 
                                         
   Dependencies:  #14017, #6495                |      Stopgaps:                 
                                         
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Comment (by nbruin):

 Very minor nitpick: I think providing `<=` and `>=` even for identical
 inputs is not quite the correct thing to do. Python has objects for which
 those are false or for which those raise an exception:
 {{{
 sage: a=float('NaN')
 sage: a <= a
 False
 sage: b=complex(1,2)
 sage: b<=b
 TypeError: no ordering relation is defined for complex numbers
 }}}
 In python 3 this is even the default:
 {{{
 Python 3.2.3 (default, Jun  8 2012, 05:40:07)
 [GCC 4.6.3 20120306 (Red Hat 4.6.3-2)] on linux2
 Type "help", "copyright", "credits" or "license" for more information.
 >>> a=object()
 >>> a<=a
 TypeError: unorderable types: object() <= object()
 >>> a==a
 True
 >>> a is a
 True
 }}}
 I think not providing `(a <= a) == True` for `UniqueRepresentation` is
 less likely to cause surprises in the future.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14054#comment:55>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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