[SymEngine.jl] method to parse string in SymEngine.jl

[Constantinos Frangos]

Hi,

I am using SymEngine.jl with julia1.5.2 on a linux machine and am trying to
parse a string that contains the names of built-in and user defined functions.

The following approach seems to works for some built-in functions:

julia> x1,x2,x3 = symbols("x1,x2,x3")
(x1, x2, x3)

julia> y1 = sin(PI/3)+cos(PI/3) + cos(x1)*sin(x1) + cos(x2) + sin(x3)
1/2 + sin(x1)*cos(x1) + (1/2)*sqrt(3) + sin(x3) + cos(x2)

julia> y1_s = Basic(string(y1))
1/2 + sin(x1)*cos(x1) + (1/2)*sqrt(3) + sin(x3) + cos(x2)

If I include the user defined function my_xpn()

function my_xpn(x,n)
return(x^n)
end

I get the following:

julia> y2 = y1 + my_xpn(x1,2) + my_xpn(x2,3)
1/2 + sin(x1)*cos(x1) + (1/2)*sqrt(3) + x1^2 + x2^3 + sin(x3) + cos(x2)

julia> y3v = join([string(y1), "+ my_xpn(x1,2) + my_xpn(x2,3)"])
"1/2 + sin(x1)*cos(x1) + (1/2)*sqrt(3) + sin(x3) + cos(x2)+
my_xpn(x1,2) + my_xpn(x2,3)"

julia> y3v_s = Basic(y3v)
1/2 + sin(x1)*cos(x1) + (1/2)*sqrt(3) + sin(x3) + cos(x2) + my_xpn(x1,
2) + my_xpn(x2, 3)

What method/s should be applied to "evaluate" the calls to the
user-defined function
my_xpn() in the string y3v? Using Basic() does not work in this case.

Any help with the above would be appreciated.

Thank you.
Constantinos

[Ondřej Čertík]

Hi Constantinos,

Thanks for your question. I think in Python we allow a user defined function to be defined in Python, and used from C++. So I think exactly the same mechanism could be used in the Julia wrappers. If I am not mistaken, here is the implementation:

https://github.com/symengine/symengine.py/blob/560bafb9eb4623800f8caa4df72033ecb6f6b21a/symengine/lib/symengine_wrapper.pyx#L2818

If you want to contribute it to the Julia wrappers, that would be great. It might be already implemented right here: https://github.com/symengine/SymEngine.jl/blob/3734b04aff57da6fa7f45081b26d7b525091771c/src/customfuncs.jl.

Ondrej

[Constantinos Frangos]

Hi Ondřej,

Thank you for the response and two links.

The second link points to the Julia file customfuncs.jl located in the Julia
SymEngine installation.

I noticed that in the file SymEngine.jl there is no statement
include("customfuncs.jl")
in order to include this file. So, it was not possible to directly use
the functions
defined in customfuncs.jl in order to try and solve the problem described in my
original email.

I tried the command include("/path.../customfuncs.jl") from the Julia command
line but got an error message.

I think that it would be best if you could forward my inquiry to the
developer/s of
the package SymEngine.jl for advice on how to proceed further.

Thank you very much for your assistance.

Constantinos

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[Ondřej Čertík]

Hi Constantinos,

We don't have dedicated developers for SymEngine.jl. The best way to proceed is to report it as an issue in the SymEngine.jl repository, and then if you have time, try to fix it in the code, and submit a pull request with the fix. That would be very helpful. It looks like that the code is not included, as you said, so you can try to include it, see if it works, if not, see where it breaks, etc. If you get stuck, please ask questions.

Thanks,
Ondrej

> https://groups.google.com/d/msgid/symengine/CALfNWAnxEK2o7AtYLDWEz3XBKOgMAB%3D7dXFnGd%3DXihkERzPF8A%40mail.gmail.com.