#13425: Compute mutation type of a ClusterSeed or ClusterQuiver
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       Reporter:  gmoose05                         |         Owner:  
sage-combinat
           Type:  enhancement                      |        Status:  
needs_review 
       Priority:  major                            |     Milestone:  sage-5.9   
  
      Component:  combinatorics                    |    Resolution:             
  
       Keywords:  cluster algebra, quiver, days45  |   Work issues:             
  
Report Upstream:  N/A                              |     Reviewers:             
  
        Authors:  Gregg Musiker, Christian Stump   |     Merged in:             
  
   Dependencies:  #13424                           |      Stopgaps:             
  
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Comment (by stumpc5):

 Hi Gregg, I uploaded a new patch.

 The main changes are:

 - the mutation type check is now done in the order:
   - check if it is mutation infinite
   - look in existing files
   - use the big algorithm to determine the type
   - generate the files and look in these newly generated files

   (I just realize that this results in two times looking in the data if it
 already exists. I should change that).

 - I moved the is_mutation_finite into mutation_type and take a matrix as
 input. I did this because this is quicker than computing the quiver and
 then the matrix again.

 - I rewrote the code to construct the classical and exceptional data.
 Please have a look and say what you think.

 The old mutation type check was actually very buggy. We still have a
 problem to solve: if you want to test the mutation type of
 {{{ClusterQuiver([['A',3],['B',2],['T',(4,4,4)]])}}}, you will get an
 error since the third part is "unknown infinite" but the program is trying
 to build a reducible type from it.

 I would also appreciate if you could try to add some more tests to the
 mutation type and the is_finite_type tests and check if I didn't introduce
 any new bugs...

 Cheers, Christian

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13425#comment:11>
Sage <http://www.sagemath.org>
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