#13011: several optional tests fail in the sage/mathematica interface with
mathematica 8.0
---------------------------------+------------------------------------------
       Reporter:  was            |         Owner:  was                      
           Type:  defect         |        Status:  positive_review          
       Priority:  major          |     Milestone:  sage-5.1                 
      Component:  interfaces     |    Resolution:                           
       Keywords:  sd40.5         |   Work issues:                           
Report Upstream:  N/A            |     Reviewers:  Mike Hansen, Volker Braun
        Authors:  William Stein  |     Merged in:                           
   Dependencies:                 |      Stopgaps:                           
---------------------------------+------------------------------------------
Changes (by vbraun):

  * status:  needs_review => positive_review
  * reviewer:  Mike Hansen => Mike Hansen, Volker Braun


Old description:

> On OS X 10.7 with the newest version of Mathematica (8.0), several
> optional tests fail, probably due to changes in mathematica.  Fix this,
> since with the optional tests, we aim at having the tests work in the
> latest released version (since that is stable).
>
> {{{
> blastoff:interfaces wstein$ sage -t -optional mathematica.py
> sage -t -optional "devel/sage-main/sage/interfaces/mathematica.py"
> **********************************************************************
> File "/Users/wstein/sage/build/sage-5.0/devel/sage-
> main/sage/interfaces/mathematica.py", line 128:
>     sage: sys.Solve('{x, y}')               # optional - mathematica
> Expected:
>     {{y -> -1, x -> 0}, {y -> 11, x -> 6}}
> Got:
>     {{x -> 0, y -> -1}, {x -> 6, y -> 11}}
> **********************************************************************
> File "/Users/wstein/sage/build/sage-5.0/devel/sage-
> main/sage/interfaces/mathematica.py", line 152:
>     sage: v.Solve(['x', 'y'])               # optional - mathematica
> Expected:
>     {{y -> -1, x -> 0}, {y -> 11, x -> 6}}
> Got:
>     {{x -> 0, y -> -1}, {x -> 6, y -> 11}}
> **********************************************************************
> File "/Users/wstein/sage/build/sage-5.0/devel/sage-
> main/sage/interfaces/mathematica.py", line 270:
>     sage: print n                   # optional - mathematica
> Expected:
>                   1.5707963267948966192313216916397514420985846996876
> Got:
>     1.5707963267949
> **********************************************************************
> File "/Users/wstein/sage/build/sage-5.0/devel/sage-
> main/sage/interfaces/mathematica.py", line 315:
>     sage: math_bessel_K(2,I)                      # optional -
> mathematica
> Exception raised:
>     Traceback (most recent call last):
>       File "/Users/wstein/sage/build/sage-5.0/local/bin/ncadoctest.py",
> line 1231, in run_one_test
>         self.run_one_example(test, example, filename, compileflags)
>       File "/Users/wstein/sage/build/sage-5.0/local/bin/sagedoctest.py",
> line 38, in run_one_example
>         OrigDocTestRunner.run_one_example(self, test, example, filename,
> compileflags)
>       File "/Users/wstein/sage/build/sage-5.0/local/bin/ncadoctest.py",
> line 1172, in run_one_example
>         compileflags, 1) in test.globs
>       File "<doctest __main__.example_0[75]>", line 1, in <module>
>         math_bessel_K(Integer(2),I)                      # optional -
> mathematica###line 315:
>     sage: math_bessel_K(2,I)                      # optional -
> mathematica
>       File "<doctest __main__.example_0[74]>", line 2, in math_bessel_K
>         return mathematica(nu).BesselK(x).N(Integer(20))
>       File "element.pyx", line 634, in
> sage.structure.element.Element.numerical_approx
> (sage/structure/element.c:4983)
>       File "/Users/wstein/sage/build/sage-5.0/local/lib/python/site-
> packages/sage/misc/functional.py", line 1286, in numerical_approx
>         return sage.rings.complex_field.ComplexField(prec)(x)
>       File "/Users/wstein/sage/build/sage-5.0/local/lib/python/site-
> packages/sage/rings/complex_field.py", line 277, in __call__
>         return Parent.__call__(self, x)
>       File "parent.pyx", line 1058, in
> sage.structure.parent.Parent.__call__ (sage/structure/parent.c:7941)
>       File "coerce_maps.pyx", line 82, in
> sage.structure.coerce_maps.DefaultConvertMap_unique._call_
> (sage/structure/coerce_maps.c:3345)
>       File "coerce_maps.pyx", line 77, in
> sage.structure.coerce_maps.DefaultConvertMap_unique._call_
> (sage/structure/coerce_maps.c:3248)
>       File "/Users/wstein/sage/build/sage-5.0/local/lib/python/site-
> packages/sage/rings/complex_field.py", line 308, in _element_constructor_
>         return complex_number.ComplexNumber(self, x)
>       File "complex_number.pyx", line 165, in
> sage.rings.complex_number.ComplexNumber.__init__
> (sage/rings/complex_number.c:3464)
>     TypeError: unable to coerce to a ComplexNumber: <class
> 'sage.interfaces.mathematica.MathematicaElement'>
> **********************************************************************
> 1 items had failures:
>    4 of  85 in __main__.example_0
> ***Test Failed*** 4 failures.
> For whitespace errors, see the file
> /Users/wstein/.sage//tmp/mathematica_95798.py
>          [5.1 s]
>
> ----------------------------------------------------------------------
> The following tests failed:
>

>         sage -t -optional "devel/sage-
> main/sage/interfaces/mathematica.py"
> Total time for all tests: 5.1 seconds
> blastoff:interfaces wstein$
> }}}

New description:

 On OS X 10.7 with the newest version of Mathematica (8.0), several
 optional tests fail, probably due to changes in mathematica.  Fix this,
 since with the optional tests, we aim at having the tests work in the
 latest released version (since that is stable).

 {{{
 blastoff:interfaces wstein$ sage -t -optional mathematica.py
 sage -t -optional "devel/sage-main/sage/interfaces/mathematica.py"
 **********************************************************************
 File "/Users/wstein/sage/build/sage-5.0/devel/sage-
 main/sage/interfaces/mathematica.py", line 128:
     sage: sys.Solve('{x, y}')               # optional - mathematica
 Expected:
     {{y -> -1, x -> 0}, {y -> 11, x -> 6}}
 Got:
     {{x -> 0, y -> -1}, {x -> 6, y -> 11}}
 **********************************************************************
 File "/Users/wstein/sage/build/sage-5.0/devel/sage-
 main/sage/interfaces/mathematica.py", line 152:
     sage: v.Solve(['x', 'y'])               # optional - mathematica
 Expected:
     {{y -> -1, x -> 0}, {y -> 11, x -> 6}}
 Got:
     {{x -> 0, y -> -1}, {x -> 6, y -> 11}}
 **********************************************************************
 File "/Users/wstein/sage/build/sage-5.0/devel/sage-
 main/sage/interfaces/mathematica.py", line 270:
     sage: print n                   # optional - mathematica
 Expected:
                   1.5707963267948966192313216916397514420985846996876
 Got:
     1.5707963267949
 **********************************************************************
 File "/Users/wstein/sage/build/sage-5.0/devel/sage-
 main/sage/interfaces/mathematica.py", line 315:
     sage: math_bessel_K(2,I)                      # optional - mathematica
 Exception raised:
     Traceback (most recent call last):
       File "/Users/wstein/sage/build/sage-5.0/local/bin/ncadoctest.py",
 line 1231, in run_one_test
         self.run_one_example(test, example, filename, compileflags)
       File "/Users/wstein/sage/build/sage-5.0/local/bin/sagedoctest.py",
 line 38, in run_one_example
         OrigDocTestRunner.run_one_example(self, test, example, filename,
 compileflags)
       File "/Users/wstein/sage/build/sage-5.0/local/bin/ncadoctest.py",
 line 1172, in run_one_example
         compileflags, 1) in test.globs
       File "<doctest __main__.example_0[75]>", line 1, in <module>
         math_bessel_K(Integer(2),I)                      # optional -
 mathematica###line 315:
     sage: math_bessel_K(2,I)                      # optional - mathematica
       File "<doctest __main__.example_0[74]>", line 2, in math_bessel_K
         return mathematica(nu).BesselK(x).N(Integer(20))
       File "element.pyx", line 634, in
 sage.structure.element.Element.numerical_approx
 (sage/structure/element.c:4983)
       File "/Users/wstein/sage/build/sage-5.0/local/lib/python/site-
 packages/sage/misc/functional.py", line 1286, in numerical_approx
         return sage.rings.complex_field.ComplexField(prec)(x)
       File "/Users/wstein/sage/build/sage-5.0/local/lib/python/site-
 packages/sage/rings/complex_field.py", line 277, in __call__
         return Parent.__call__(self, x)
       File "parent.pyx", line 1058, in
 sage.structure.parent.Parent.__call__ (sage/structure/parent.c:7941)
       File "coerce_maps.pyx", line 82, in
 sage.structure.coerce_maps.DefaultConvertMap_unique._call_
 (sage/structure/coerce_maps.c:3345)
       File "coerce_maps.pyx", line 77, in
 sage.structure.coerce_maps.DefaultConvertMap_unique._call_
 (sage/structure/coerce_maps.c:3248)
       File "/Users/wstein/sage/build/sage-5.0/local/lib/python/site-
 packages/sage/rings/complex_field.py", line 308, in _element_constructor_
         return complex_number.ComplexNumber(self, x)
       File "complex_number.pyx", line 165, in
 sage.rings.complex_number.ComplexNumber.__init__
 (sage/rings/complex_number.c:3464)
     TypeError: unable to coerce to a ComplexNumber: <class
 'sage.interfaces.mathematica.MathematicaElement'>
 **********************************************************************
 1 items had failures:
    4 of  85 in __main__.example_0
 ***Test Failed*** 4 failures.
 For whitespace errors, see the file
 /Users/wstein/.sage//tmp/mathematica_95798.py
          [5.1 s]

 ----------------------------------------------------------------------
 The following tests failed:


         sage -t -optional "devel/sage-main/sage/interfaces/mathematica.py"
 Total time for all tests: 5.1 seconds
 blastoff:interfaces wstein$
 }}}

 Apply
 * [attachment:trac_13011.patch]
 * [attachment:trac_13011-part2.patch]

--

Comment:

 Let's Get That Money!

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13011#comment:7>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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