#7947: iteration error in QuadraticForm.vectors_by_length()
-------------------------------+--------------------------------------------
   Reporter:  tornaria         |       Owner:  tornaria  
       Type:  defect           |      Status:  new       
   Priority:  major            |   Milestone:  sage-4.3.1
  Component:  quadratic forms  |    Keywords:            
Work_issues:                   |      Author:            
   Upstream:  N/A              |    Reviewer:            
     Merged:                   |  
-------------------------------+--------------------------------------------
 After the fix in #7100 (rounding issues), there's still a bug in {{{the
 vectors_by_length()}}} code:
 {{{
 ----------------------------------------------------------------------
 | Sage Version 4.3, Release Date: 2009-12-24                         |
 | Type notebook() for the GUI, and license() for information.        |
 ----------------------------------------------------------------------
 sage: Q = QuadraticForm(ZZ, 4, [1,-1,-1,-1, 1,0,0, 4,-3, 4])
 sage: Q.vectors_by_length(3)
 ---------------------------------------------------------------------------
 ValueError                                Traceback (most recent call
 last)

 /home/tornaria/.sage/temp/sage/9609/_home_tornaria__sage_init_sage_0.py in
 <module>()

 /home/tornaria/sage/sage-4.3/local/lib/python2.6/site-
 packages/sage/quadratic_forms/quadratic_form__split_local_covering.pyc in
 vectors_by_length(self, bound)
     213             ## Now go back and compute the bounds...
     214             ## 2. Compute bounds
 --> 215             Z = (T[i] / Q[i][i]).sqrt(extend=False)
     216             L[i] = ( Z - U[i]).floor()
     217             x[i] = (-Z - U[i]).ceil()

 /home/tornaria/sage/sage-4.3/local/lib/python2.6/site-
 packages/sage/rings/real_double.so in
 sage.rings.real_double.RealDoubleElement.sqrt
 (sage/rings/real_double.c:10382)()

 ValueError: negative number -0.888887555556 does not have a square root in
 the real field
 }}}
 You can tell this is not a rounding issue from the error message.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7947>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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