#18888: failing optional mathematica tests, due to bugs in N() and n()
-------------------------------------+-------------------------------------
       Reporter:  slabbe             |        Owner:
           Type:  defect             |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-7.1
      Component:  interfaces:        |   Resolution:
  optional                           |    Merged in:
       Keywords:  mathematica        |    Reviewers:
        Authors:                     |  Work issues:  fix `N()`
Report Upstream:  N/A                |       Commit:
         Branch:  public/18888       |  4fd09adee1cffa4fb7922862d20d2587f7837362
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by dimpase):

 * status:  needs_review => needs_work
 * work_issues:   => fix `N()`


Old description:

> With
>
> {{{
> $ sage --version
> SageMath Version 6.8.beta8, Release Date: 2015-07-10
> $ mathematica --version
> 10.0
> }}}
>
> The command
>
> {{{
> sage -t --warn-long 2.3 --optional=sage,mathematica
> src/sage/symbolic/expression.pyx src/sage/tests/benchmark.py
> src/sage/misc/functional.py src/sage/symbolic/constants.py
> src/sage/calculus/calculus.py src/sage/interfaces/mathematica.py
> src/sage/symbolic/integration/integral.py
> src/sage/symbolic/constants_c.pyx src/sage/matrix/matrix1.pyx
> src/sage/modules/free_module_element.pyx
> }}}
>
> gives:
>
> {{{
> # sage -t --warn-long 2.3 src/sage/symbolic/expression.pyx  # 1 doctest
> failed
> # sage -t --warn-long 2.3 src/sage/symbolic/constants.py  # 3 doctests
> failed
> # sage -t --warn-long 2.3 src/sage/interfaces/mathematica.py  # 30
> doctests failed
> # sage -t --warn-long 2.3 src/sage/symbolic/constants_c.pyx  # 1 doctest
> failed
> # sage -t --warn-long 2.3 src/sage/matrix/matrix1.pyx  # 2 doctests
> failed
> # sage -t --warn-long 2.3 src/sage/modules/free_module_element.pyx  # 1
> doctest failed
> }}}
>
> Full log is attached. Previous similar tickets are : #16703, #13011.

New description:

 With

 {{{
 $ sage --version
 SageMath Version 6.8.beta8, Release Date: 2015-07-10
 $ mathematica --version
 10.0
 }}}

 The command

 {{{
 sage -t --warn-long 2.3 --optional=sage,mathematica
 src/sage/symbolic/expression.pyx src/sage/tests/benchmark.py
 src/sage/misc/functional.py src/sage/symbolic/constants.py
 src/sage/calculus/calculus.py src/sage/interfaces/mathematica.py
 src/sage/symbolic/integration/integral.py
 src/sage/symbolic/constants_c.pyx src/sage/matrix/matrix1.pyx
 src/sage/modules/free_module_element.pyx
 }}}

 gives:

 {{{
 # sage -t --warn-long 2.3 src/sage/symbolic/expression.pyx  # 1 doctest
 failed
 # sage -t --warn-long 2.3 src/sage/symbolic/constants.py  # 3 doctests
 failed
 # sage -t --warn-long 2.3 src/sage/interfaces/mathematica.py  # 30
 doctests failed
 # sage -t --warn-long 2.3 src/sage/symbolic/constants_c.pyx  # 1 doctest
 failed
 # sage -t --warn-long 2.3 src/sage/matrix/matrix1.pyx  # 2 doctests failed
 # sage -t --warn-long 2.3 src/sage/modules/free_module_element.pyx  # 1
 doctest failed
 }}}

 Full log is attached. Previous similar tickets are : #16703, #13011.

 One reason is a bug in implementation of `N()`, which is caused by always
 stripping precision tick away in `get()`, setting `NumberMarks->False`.
 (Or at least it has become a bug - this line of code dates back to 2006).

--

--
Ticket URL: <http://trac.sagemath.org/ticket/18888#comment:21>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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