several optional tests fail in the sage/mathematica interface with mathematica 8.0 #13011
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
Component: interfaces
Keywords: sd40.5
Author: William Stein
Reviewer: Mike Hansen, Volker Braun
Merged: sage-5.1.beta5
Issue created by migration from https://trac.sagemath.org/ticket/13011