#8389: Sage eats all memory trying to evaluate MatrixSpace(QQ, 2)['x']
---------------------------+------------------------------------------------
   Reporter:  mmezzarobba  |       Owner:  AlexGhitza
       Type:  defect       |      Status:  new       
   Priority:  major        |   Milestone:  sage-4.3.4
  Component:  algebra      |    Keywords:            
     Author:               |    Upstream:  N/A       
   Reviewer:               |      Merged:            
Work_issues:               |  
---------------------------+------------------------------------------------
 This makes Sage eat all available memory until it gets interrupted:

 {{{
 $ ./sage
 ----------------------------------------------------------------------
 | Sage Version 4.3.3, Release Date: 2010-02-21                       |
 | Type notebook() for the GUI, and license() for information.        |
 ----------------------------------------------------------------------
 sage: MatrixSpace(QQ, 2)['x']
 ^C---------------------------------------------------------------------------
 KeyboardInterrupt                         Traceback (most recent call
 last)

 /home/marc/co/sage-4.3.3/<ipython console> in <module>()

 /home/marc/co/sage-4.3.3/local/lib/python2.6/site-
 packages/sage/structure/parent.so in
 sage.structure.parent.Parent.__getitem__ (sage/structure/parent.c:7653)()

 /home/marc/co/sage-4.3.3/local/lib/python2.6/site-
 packages/sage/structure/parent.so in
 sage.structure.parent.Parent._list_from_iterator_cached
 (sage/structure/parent.c:7061)()

 /home/marc/co/sage-4.3.3/local/lib/python2.6/site-
 packages/sage/matrix/matrix_space.pyc in __iter__(self)
     792             while True:
     793                 for iv in
 sage.combinat.integer_vector.IntegerVectors(weight, number_of_entries):
 --> 794                     yield self(entries=[base_elements[i] for i in
 iv], rows=True)
     795
     796                 weight += 1

 /home/marc/co/sage-4.3.3/local/lib/python2.6/site-
 packages/sage/matrix/matrix_space.pyc in __call__(self, entries, coerce,
 copy, rows)
     393             return self(entries.matrix(), copy=False)
     394
 --> 395         return self.matrix(entries, copy=copy, coerce=coerce,
 rows=rows)
     396
     397     def change_ring(self, R):

 /home/marc/co/sage-4.3.3/local/lib/python2.6/site-
 packages/sage/matrix/matrix_space.pyc in matrix(self, x, coerce, copy,
 rows)
    1068             if isinstance(x[0], list):
    1069                 x = sum(x,[])
 -> 1070             elif hasattr(x[0], "is_vector"): # TODO: is this the
 best way to test that?
    1071                 e = []
    1072                 for v in x:

 /home/marc/co/sage-4.3.3/local/lib/python2.6/site-
 packages/sage/structure/element.so in
 sage.structure.element.Element.__getattr__
 (sage/structure/element.c:2726)()

 /home/marc/co/sage-4.3.3/local/lib/python2.6/site-
 packages/sage/rings/ring.so in sage.rings.ring.Field.category
 (sage/rings/ring.c:8675)()

 /home/marc/co/sage-4.3.3/local/lib/python2.6/site-
 packages/sage/misc/classcall_metaclass.pyc in __call__(cls, *args,
 **options)
     114             return cls
     115
 --> 116     def __call__(cls, *args, **options):
     117         """
     118         This method implements ``cls(<some arguments>)``.

 /home/marc/co/sage-4.3.3/local/lib/python2.6/site-
 packages/sage/interfaces/get_sigs.pyc in my_sigint(x, n)
       7
       8 def my_sigint(x, n):
 ----> 9     raise KeyboardInterrupt
      10
      11 def my_sigfpe(x, n):
 }}}

 Note that `MatrixSpace(QQ, 2)['x']` is not supposed to ''work'', since

 {{{
 Definition:     PolynomialRing [...]
 Docstring:
        [...]
        INPUT:

        * ``base_ring`` -- a commutative ring
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8389>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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