#10053: Equality testing instead of comparisons in differential forms code
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   Reporter:  jvkersch             |       Owner:  burcin                     
       Type:  defect               |      Status:  needs_review               
   Priority:  major                |   Milestone:                             
  Component:  symbolics            |    Keywords:  forms, comparison, equality
     Author:  Joris Vankerschaver  |    Upstream:  N/A                        
   Reviewer:  Niles Johnson        |      Merged:                             
Work_issues:                       |  
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Comment(by jvkersch):

 Replying to [comment:7 niles]:

 > Does it really!?  Thinking more about this last night, I started to
 wonder if this is really a bug with comparison of symbolic expressions,
 not with differential forms.  Before we move on with this, would you mind
 doing a little checking to see if converting to strings really is the best
 way to compare symbolic expressions? (If it is, then I would say '`==`' is
 broken for symbolic expressions.)


 As far as I can tell, the comparison code in
 `sage/symbolic/expression.pyx` just calls `_richcmp_` in
 `sage/structure/element.pyx`, which seems fine.  After reading the bug
 reports here and in #10041, I thought the issue was that writing anything
 like `x == 0` merely defined a symbolic equation (instead of evaluating
 directly to something boolean).  I could understand this (and I think it
 is the intended behavior, no?), so I changed all symbolic comparisons to
 comparisons of string expressions, or wrote something like `(lhs -
 rhs).is_zero()`, although the latter seems to be slower.


 I would love to get to the bottom of this.  Specifically, I'm still
 confused as to why my original code (comparing tuples of symbolic
 variables) seemed to work fine on Mac but gave different answers on Linux.
 It feels like it should fail consistently across all platforms :)

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10053#comment:8>
Sage <http://www.sagemath.org>
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