#11672: Some more doctests from the book "Calcul mathématique avec Sage"
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       Reporter:  mmezzarobba      |         Owner:  mvngu                      
         
           Type:  enhancement      |        Status:  needs_review               
         
       Priority:  minor            |     Milestone:  sage-5.7                   
         
      Component:  doctest          |    Resolution:                             
         
       Keywords:                   |   Work issues:                             
         
Report Upstream:  N/A              |     Reviewers:  Martin Albrecht, Charles 
Bouillaguet
        Authors:  Marc Mezzarobba  |     Merged in:                             
         
   Dependencies:                   |      Stopgaps:                             
         
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Comment (by Bouillaguet):

 Replying to [comment:16 mmezzarobba]:
 > Paul: Could it be that whatever is used is compiled using extended
 precision on some platforms? Another strange thing, though, is that
 > {{{
 > sage: J.variety(Reals(p))
 > [{y: -1.00000001350726, x: -1929.60019649825}, {y: -0.999999986492719,
 x: 1929.62017010095}, {y: 396340.890166545, x: 10.3009522157620}]
 > }}}
 > finds 3 solutions for p as low as 39...
 >
 > Anyway, this test doesn't make much sense, I shouldn't have included
 this test in the first place. Here is a new version of the patch without
 that test. I took the opportunity to ignore the last few significant
 digits in another numerical result that might change a bit in the future.

 Well, the test obviously indicate that there is a problem somewhere, and I
 tend to believe that we should keep the test and track the problem.

 Either your computation is ill-conditioned, and the test should be removed
 from Sage (and probably also from the book), or there is a component of
 sage that misbehaves. We should understand what the situation is, and act
 accordingly. These tests have been there for 1.5 years, so we are not in a
 hurry.  Maybe we could compare intermediate results on different machines?

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11672#comment:19>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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