#17285: CIF is missing many functions
------------------------------------+------------------------
       Reporter:  jdemeyer          |        Owner:
           Type:  defect            |       Status:  new
       Priority:  major             |    Milestone:  sage-6.4
      Component:  basic arithmetic  |   Resolution:
       Keywords:                    |    Merged in:
        Authors:                    |    Reviewers:
Report Upstream:  N/A               |  Work issues:
         Branch:                    |       Commit:
   Dependencies:  #17130            |     Stopgaps:
------------------------------------+------------------------
Changes (by tmonteil):

 * cc: tmonteil (added)


Old description:

> {{{
> sage: CIF(cos(3/2))
> ---------------------------------------------------------------------------
> TypeError                                 Traceback (most recent call
> last)
> <ipython-input-31-4eae9038f0b3> in <module>()
> ----> 1 CIF(cos(Integer(3)/Integer(2)))
>
> /usr/local/src/sage-config/local/lib/python2.7/site-
> packages/sage/rings/complex_interval_field.pyc in __call__(self, x, im)
>     378
>     379             try:
> --> 380                 return x._complex_mpfi_( self )
>     381             except AttributeError:
>     382                 pass
>
> /usr/local/src/sage-config/local/lib/python2.7/site-
> packages/sage/symbolic/expression.so in
> sage.symbolic.expression.Expression._complex_mpfi_
> (build/cythonized/sage/symbolic/expression.cpp:8043)()
> }}}
>
> The reason that this fails is:
> {{{
> sage: CIF(3/2).cos()
> ---------------------------------------------------------------------------
> AttributeError                            Traceback (most recent call
> last)
> <ipython-input-13-96dae572cb36> in <module>()
> ----> 1 CIF(Integer(3)/Integer(2)).cos()
>
> /usr/local/src/sage-config/local/lib/python2.7/site-
> packages/sage/structure/element.so in
> sage.structure.element.Element.__getattr__
> (build/cythonized/sage/structure/element.c:4068)()
>
> /usr/local/src/sage-config/local/lib/python2.7/site-
> packages/sage/structure/misc.so in
> sage.structure.misc.getattr_from_other_class
> (build/cythonized/sage/structure/misc.c:1631)()
>
> AttributeError: 'sage.rings.complex_interval.ComplexIntervalFieldElement'
> object has no attribute 'cos'
> }}}

New description:

 {{{
 sage: CIF(cos(3/2))
 ---------------------------------------------------------------------------
 TypeError                                 Traceback (most recent call
 last)
 <ipython-input-31-4eae9038f0b3> in <module>()
 ----> 1 CIF(cos(Integer(3)/Integer(2)))

 /usr/local/src/sage-config/local/lib/python2.7/site-
 packages/sage/rings/complex_interval_field.pyc in __call__(self, x, im)
     378
     379             try:
 --> 380                 return x._complex_mpfi_( self )
     381             except AttributeError:
     382                 pass

 /usr/local/src/sage-config/local/lib/python2.7/site-
 packages/sage/symbolic/expression.so in
 sage.symbolic.expression.Expression._complex_mpfi_
 (build/cythonized/sage/symbolic/expression.cpp:8043)()
 }}}

 The reason that this fails is:
 {{{
 sage: CIF(3/2).cos()
 ---------------------------------------------------------------------------
 AttributeError                            Traceback (most recent call
 last)
 <ipython-input-13-96dae572cb36> in <module>()
 ----> 1 CIF(Integer(3)/Integer(2)).cos()

 /usr/local/src/sage-config/local/lib/python2.7/site-
 packages/sage/structure/element.so in
 sage.structure.element.Element.__getattr__
 (build/cythonized/sage/structure/element.c:4068)()

 /usr/local/src/sage-config/local/lib/python2.7/site-
 packages/sage/structure/misc.so in
 sage.structure.misc.getattr_from_other_class
 (build/cythonized/sage/structure/misc.c:1631)()

 AttributeError: 'sage.rings.complex_interval.ComplexIntervalFieldElement'
 object has no attribute 'cos'
 }}}

 This problem was also encoutered [http://ask.sagemath.org/question/10115
 /problem-with-conjugate_transpose-of-a-symbolic-matrix/?answer=14912#post-
 id-14912 on this ask thread].

--

Comment:

 Are you working on this ?

 Is a solution involving the use of the (already defined) `.exp()` method
 acceptable on the short term (it may not lead to the thinest possible
 intervals), or do you think about some more accurate way of writing those
 ?

--
Ticket URL: <http://trac.sagemath.org/ticket/17285#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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