#19340: Better interface for hadamard_matrix
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       Reporter:  ncohen             |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.9
      Component:  combinatorial      |   Resolution:
  designs                            |    Merged in:
       Keywords:                     |    Reviewers:
        Authors:  Nathann Cohen      |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:  u/ncohen/19340     |  247a2bb4dcec180227cd9fb9bcd331a27a289016
   Dependencies:                     |     Stopgaps:
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Comment (by ncohen):

 > You might consider using the flint functions fmpz_mat_hadamard and
 fmpz_mat_is_hadamard, which should be faster.

 How easily can I call them on a Sage matrix?

 > Checking by default seems kind of useless since this is much slower than
 generating the matrix (generating a size 1000 Hadamard matrix takes 0.01
 seconds and checking it takes 0.5 seconds), and unit testing should
 provide reasonable certainty that the algorithm is correct.

 Sorry to disappoint, but I have thousands of line behind me (in
 combinat/designs/) that implement old combinatorial designs from lost
 papers. I know the value of this kind of testing.

 > Flint's test suite already checks for every size up to 300 that
 fmpz_mat_hadamard either constructs a correct Hadamard matrix or reports
 that the size is unsupported.

 Are you saying that flint can be easily accessed from Sage *and* that it
 contains a database of hadamard matrices? If so, I woulld be glad to call
 it from the general constructor of hadamard matrices in Sage.

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/19340#comment:7>
Sage <http://www.sagemath.org>
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