#9760: Possible numerical noise doctest failure in sage/matrix/matrix2.pyx on t2
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   Reporter:  mpatel   |       Owner:  drkirkby  
       Type:  defect   |      Status:  new       
   Priority:  blocker  |   Milestone:  sage-4.5.3
  Component:  solaris  |    Keywords:            
     Author:           |    Upstream:  N/A       
   Reviewer:           |      Merged:            
Work_issues:           |  
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Comment(by jhpalmieri):

 Replying to [comment:1 drkirkby]:
 > I expect ATLAS would be used for this test, but has that been 100%
 confirmed?
 >
 > It's very puzzling. I guess its possible that ATLAS may give slightly
 different results if it's tuned differently.
 >
 > I suspect John built this with the ATLAS changes at #9508. Since he
 normally used a version of ATLAS he built before to save time, I suspect
 he tuned ATLAS this time.

 That's right.  Although my old version is based on atlas-3.8.3.p12,
 compared to the current 3.8.3.p14.  I also had to rebuild the shared
 libraries, and I rebuilt them using exactly the commands from the p14
 spkg.  I don't think the ATLAS sources changed from p12 to p14, so the
 only difference should be in the tuning from one time (several months ago)
 to another.  When I built Sage using SAGE_ATLAS_LIB pointing to my old
 version, the tests passed; indeed, if I just copy the p12 files to
 SAGE_ROOT/local/lib, then tests pass.  If I copy the p14 files back, then
 tests fail.

 > It's possible that the additional shared libraries from #9508 mean
 something in Sage that previously linked with a static library, would now
 link with a shared one.

 I don't know if it's that or if it's just different tuning from one build
 to the next.

 > I suspect slight differences in tuning parameters might be the cause
 though. Does the criteria need to be  changed by a factor of 10 to get
 htis to pass, or would a maller change be acceptable,

 A smaller change would work, at least right now: the largest imaginary
 part for any eigenvalue is 1.09867961128e-15.  With the p12 files, the
 largest (in absolute value) is -4.61662881292e-16.  Of course, now I see
 that the doctest should really be '''abs'''(imag(e)) < 1e-15...

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9760#comment:4>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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