On May 9, 2009, at 4:12 AM, Laurent Claessens wrote:

>
> I half-answer to myself :
>
>
>> 1. be able to convert a string into a function on which I can use  
>> Sage
>
> s = "x**3"
> var('x')
> f = eval(s)
> print f(3)

Or

sage: SR(s)
x^3
sage: SR("2a+5x^2-sqrt(pi)")
5*x^2 + 2*a - sqrt(pi)

so you don't even have to make the variables ahead of time. (Also,  
unless you are absolutely sure you trust the source of your string,  
eval(s) can be dangerous.)

>
> makes the job
>
>> 2. from the results of Sage (especially from diff(f,x)), I need a
>> string that I can manipulate with Python (especially use the .replace
>> method in order to produce strings that are valid code for pstricks).
>
> s = "x**3"
> var('x')
> f = eval(s)
> print f(3)
> g = diff(f,x)
> print g
>
> I would like to get the string "3*(x**2)" or something like that.

What about

sage: repr(g)
'3*x^2'

- Robert

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