#13814: LazyFamily.__eq__ gives false positives.
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       Reporter:  cnassau           |         Owner:  sage-combinat
           Type:  defect            |        Status:  needs_review 
       Priority:  major             |     Milestone:  sage-5.6     
      Component:  combinatorics     |    Resolution:               
       Keywords:                    |   Work issues:               
Report Upstream:  N/A               |     Reviewers:               
        Authors:  Christian Nassau  |     Merged in:               
   Dependencies:                    |      Stopgaps:               
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Comment (by nthiery):

 Replying to [comment:7 cnassau]:
 > I think this is also how my patch implements this (which does not quite
 follow the description in my original submission).
 >
 > In my patch function equality is tested like this:
 >
 >    * finite family: brute force check of all values
 >    * infinite family: check if function objects are identical

 There is a slight difference: I prefer the distinction to be based on
 the class, namely whether we are manipulating two FiniteFamily's or
 not.

 By the way, please use:
 {{{
     for i in self.set:
 }}}

 rather than:
 {{{
     lst = list(self.set)
     for i in lst
 }}}


 > It occured to me that we should also try this:
 >
 >    * comparison of the pickle-string of the function objects

 This sounds reasonable, but needs to be heavily tested for all sorts
 of function objects.

 >    * testing an initial finite slice of the values

 I can see the point! Still, I'd rather stick to a behavior that
 depends only on the class, rather than on some magic constant.
 Otherwise, this is likely to cause bugs that won't be caught by
 testing since they will only show up for large objects.

 Cheers,
                Nicolas

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13814#comment:9>
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