On 03/11/2010 12:49 AM, Felix Lawrence wrote:
I have created a ticket for this at
http://trac.sagemath.org/sage_trac/ticket/8495
and have commented about how to fix the regression due to #3587 on the
new ticket.
Jason, it seems like Mathematica.get() currently uses InputForm - how
does this differ to FullForm?
In short (as I understand it), FullForm [1] is basically a full explicit
parse tree of the expression, and is the authoritative, definitive
representation of the object, while InputForm [2] is an abbreviated form
suitable for input.
To parse the FullForm, see
http://reference.wolfram.com/mathematica/tutorial/EverythingIsAnExpression.html
for a general overview.
See
http://reference.wolfram.com/mathematica/tutorial/FormsOfInputAndOutput.html
for a short overview of different output formats. See
http://reference.wolfram.com/mathematica/tutorial/TextualInputAndOutputOverview.html
for lots and lots of documentation on the subject.
One example of the difference is:
In[1]:= 2*I*E//FullForm
Out[1]//FullForm= Times[Complex[0, 2], E]
In[2]:= 2*I*E//InputForm
Out[2]//InputForm= (2*I)*E
If we just define a simple mapping (for example:
[ -> ( (like now)
] -> ) (like now)
Times -> prod (need to convert arguments to a list)
Plus -> sum (need to convert arguments to a list)
Power -> operator.pow
E -> sage.all.e
Pi -> sage.all.pi
Rational -> QQ or SR (some more translation is needed here, since
QQ(1,2) doesn't give 1/2)
and just try converting things to lower case (so Complex[0,1] ->
complex(0,1), List->list, etc.), then things might work a lot better.
I suppose we still would have to write some code to convert a
mathematica real number (with precision/accuracy information) to a
corresponding Sage number, or in the short term, we could just set
NumberMarks->False.
Thanks,
Jason
[1] http://reference.wolfram.com/mathematica/ref/FullForm.html
[2] http://reference.wolfram.com/mathematica/ref/InputForm.html
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