#11358: matrix multiplication over ZZ sometimes gives incorrect results
------------------------------+---------------------------------------------
   Reporter:  tomc            |          Owner:  jason, was                     
                   
       Type:  defect          |         Status:  needs_work                     
                   
   Priority:  critical        |      Milestone:  sage-4.7.1                     
                   
  Component:  linear algebra  |       Keywords:  matrix multiplication, 
multi-modular, integers, ZZ
Work_issues:                  |       Upstream:  N/A                            
                   
   Reviewer:                  |         Author:                                 
                   
     Merged:                  |   Dependencies:                                 
                   
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Changes (by tomc):

  * status:  needs_review => needs_work


Comment:

 I can't get the patch to apply.  When I apply the patch and then do

 {{{
 sage -b
 }}}
 I get

 {{{
 Error converting Pyrex file to C:
 ------------------------------------------------------------
 ...
         """
         cdef Py_ssize_t i
         cdef mod_int p
         while True:
             p = random_prime(self._u_bound, lbound =self._l_bound)
             if p not in self.moduli[:self.n]: return p
                                   ^
 ------------------------------------------------------------

 /Users/tomc/sage-4.6.2/devel/sage-test-crt-
 fix/sage/ext/multi_modular.pyx:191:35: Cannot convert 'mod_int *' to
 Python object
 }}}

 Also, in the new implementation of _new_random_prime() there is the
 possibility of an infinite loop if self.moduli already contains all the
 primes between self._lbound and self._ubound.  I suggest modifying
 _new_random_prime() so that it:

 * makes some number of tries (10? 100?) to find a new random prime p in
 the range self._lbound < p < self._ubound; and

 * if this fails then it increases self_ubound and tries again.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11358#comment:11>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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