Hi,

I am looking for students again this year for any related ideas:

https://github.com/sympy/sympy/wiki/GSoC-2020-Ideas#sympy---fortran-code-generation-and-jit

The ideas are from last year, and we made good progress on them last year. 
There is plenty still to do. Here are some ideas in random order and you are 
welcome to propose your own idea. If anybody is interested in applying to any 
of those, let me know and I am happy to help brainstorm more and review the 
application.

Ondrej

1) Implement a module for efficient rational function approximation with code 
generation to Fortran and C. It would accept a SymPy expression as a function 
of one variable and it would output an efficient rational function 
approximation. Here is an example how the final function looks like for a 
modified Bessel function of half integer order (this one was written by hand):

https://github.com/certik/hfsolver/blob/b4c50c1979fb7e468b1852b144ba756f5a51788d/src/special_functions.f90#L371

2) Scan Fortran source code using LFortran and extract all expressions to 
SymPy. Allow to use SymPy to transform those expressions, such as simplify().

3) Related to the previous point: Optimize floating point expressions: 
https://github.com/sympy/sympy/wiki/GSoC-2020-Ideas#optimize-floating-point-expressions
 and integrate with Fortran.

4) General improvements to Fortran parser / generator to / from SymPy.

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