#4325: CC() fails on Mathematica output
-------------------------+--------------------------------------------------
 Reporter:  ddrake       |        Owner:  was     
     Type:  defect       |       Status:  new     
 Priority:  major        |    Milestone:  sage-3.2
Component:  interfaces   |   Resolution:          
 Keywords:  mathematica  |  
-------------------------+--------------------------------------------------
Comment (by jason):

 In Mathematica, we can set the output to automatically be wrapped in a
 certain function.  We ought to just write a function that first calls
 InputForm.

 {{{
 sage: CC(mathematica.eval('N[BesselK[1+I, 2+ 3*I],
 20]//InputForm[#,NumberMarks->False]&'))
 -0.105203133241753 + 0.0175890146151899*I
 sage: CC(mathematica.eval('N[BesselK[I-1, I],
 30]//InputForm[#,NumberMarks->False]&'))
 -0.190193056011529 - 0.470313413807477*I
 }}}

 I put the NumberMarks->False option since Sage doesn't know how to deal
 with the precision information returned from Mathematica.  It would be
 nice if there was a way to use that in constructing Sage objects.  My
 guess is it would be fairly easy in Mathematica to write a function that
 generates Sage output, given that you easily have access to the full parse
 tree of the function in Mathematica.


 Another way to get rid of the precision information is to set $NumberMarks
 = False:

 {{{
 sage: mathematica.eval('$NumberMarks=False')
          False
 sage: CC(mathematica.eval('N[BesselK[I-1, I],
 30]//InputForm'))-0.190193056011529 - 0.470313413807477*I
 }}}

 We can automatically apply the InputForm to any printed output by setting
 the $PrePrint hook:

 {{{
 sage: mathematica.eval('$NumberMarks=False')
          False
 sage: mathematica.eval('$PrePrint = InputForm')
          InputForm
 sage: CC(mathematica.eval('N[BesselK[I-1, I], 30]'))
 -0.190193056011529 - 0.470313413807477*I
 sage: CC(mathematica.eval('N[BesselK[1+I, 2+ 3*I], 20]'))
 -0.105203133241753 + 0.0175890146151899*I
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4325#comment:2>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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