#18720: Change diagram algebra basis set partitions from list to generator
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       Reporter:  ghseeli            |        Owner:
           Type:  enhancement        |       Status:  new
       Priority:  minor              |    Milestone:  sage-6.8
      Component:  algebra            |   Resolution:
       Keywords:  days65, partition  |    Merged in:
  algebra, diagram algebra           |    Reviewers:
        Authors:  ghseeli            |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  879e2b6d89475802810e573bf8d396e401ab4d06
  u/ghseeli/change_diagram_algebra_basis_set_partitions_from_list_to_generator| 
    Stopgaps:
   Dependencies:                     |
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Comment (by tscrim):

 Replying to [comment:11 ghseeli]:
 > I am sorry, I don't quite get what "make the basis indexing set iterate
 over elements of itself" means because I don't quite understand the
 structure of the `LazyFamily` in the context of `CombinatorialFreeModule`
 yet. My concern is: should users expect that calling for the support of an
 element return a uniform type? I will commit what I have so you can take a
 look.

 You are correct, it should be a uniform type. What the `LazyFamily` does
 in `CombinatorialFreeModule.basis()` (in this case) is iterate over the
 `AbstractPartitionDiagrams` class and then makes that into an element of
 the CFM, but only when required. However from looking at it, it should be
 working properly.

 Also I think `range(-len(tst)/2,len(tst)/2+1)` might give you trouble
 because it's doing python int division (where `1/2 == 0`). And `except
 TypeError, ValueError:` should be `except (TypeError, ValueError):`.

--
Ticket URL: <http://trac.sagemath.org/ticket/18720#comment:13>
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