#15036: Speed up matrix repr for matrices larger than 20
----------------------------------+-----------------------------
       Reporter:  nbruin          |         Owner:
           Type:  defect          |        Status:  needs_review
       Priority:  major           |     Milestone:  sage-5.12
      Component:  linear algebra  |    Resolution:
       Keywords:                  |     Merged in:
        Authors:                  |     Reviewers:
Report Upstream:  N/A             |   Work issues:
         Branch:                  |  Dependencies:
       Stopgaps:                  |
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Comment (by nbruin):

 {{{
 sage -t devel/sage/sage/schemes/elliptic_curves/heegner.py  # 2 doctests
 failed
 sage -t devel/sage/sage/matrix/matrix2.pyx  # 1 doctest failed
 sage -t devel/sage/sage/misc/sageinspect.py  # 2 doctests failed
 sage -t devel/sage/sage/modular/modsym/ambient.py  # 3 doctests failed
 sage -t devel/sage/sage/matrix/constructor.py  # 1 doctest failed
 sage -t devel/sage/sage/rings/polynomial/multi_polynomial_sequence.py  # 1
 doctest failed
 sage -t devel/sage/sage/matrix/matrix_mod2e_dense.pyx  # 1 doctest failed
 sage -t devel/sage/sage/rings/number_field/number_field_ideal.py  # 1
 doctest failed
 sage -t devel/sage/sage/matrix/matrix_mod2_dense.pyx  # 1 doctest failed
 sage -t devel/sage/sage/modular/hecke/hecke_operator.py  # 1 doctest
 failed
 sage -t devel/sage/sage/algebras/steenrod/steenrod_algebra_bases.py  # 2
 doctests failed
 sage -t devel/sage/sage/matrix/matrix0.pyx  # 5 doctests failed
 sage -t devel/sage/sage/homology/chain_complex.py  # 1 doctest failed
 sage -t devel/sage/sage/modules/free_module_morphism.py  # 1 doctest
 failed
 sage -t devel/sage/sage/modular/modsym/relation_matrix.py  # 3 doctests
 failed
 sage -t devel/sage/sage/modular/hecke/degenmap.py  # 1 doctest failed
 }}}
 Most of the doctest failures outside of `matrix0.pyx` are of the form
 {{{
 Expected:
     Vector space of degree 20 and dimension 20 over Rational Field
     Basis matrix:
     20 x 20 dense matrix over Rational Field
 Got:
     Vector space of degree 20 and dimension 20 over Rational Field
     Basis matrix:
     20 x 20 dense matrix over Rational Field (type '<matrix>.str()' to see
 all of the entries)
 }}}
 which suggests that not including a message about `.str()` may be more
 appropriate.

 '''A wild thought:''' If people feel saying something about `.str()` is
 really necessary for output printed by the IPython REPL or notebook
 output, perhaps we should put in a hook on those to do a name lookup in
 `globals` there. In that case, we'd still get
 {{{
 sage: A = <large matrix>
 sage: A
 * x * matrix over * (type 'print A.str()' to see all entries)
 }}}
 but this would happen because TOP LEVEL recognizes it's printing a string
 representation that may not fully reflect the value. Certainly, TOP LEVEL
 looking in globals() wouldn't be so bad, AND it wouldn't need to look in
 stack frames to find what globals dictionary is appropriate.

--
Ticket URL: <http://trac.sagemath.org/ticket/15036#comment:3>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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