00mjk/mathlink.jl

Julia language interface for Mathematica/Wolfram Engine

MathLink.jl

This package provides access to Mathematica/Wolfram Engine via the MathLink library, now renamed to Wolfram Symbolic Transfer Protocol (WSTP).

Installation

The package requires an installation of either Mathematica or the free Wolfram Engine. It will attempt to find the installation at build time; if this fails, you will need to set the following environment variables:

• JULIA_MATHKERNEL: the path of the MathKernel executable
• JULIA_MATHLINK: the path of the MathLink dynamic library named
  • libML64i4.so/ libML32i4.so on Linux
  • libML64.dll/ libML32.dll on Windows
  • mathlink on macOS

Usage

The main interface consists of the W"" string macro for specifying symbols. These are call-overloaded for building more complicated expressions

julia> using MathLink

julia> W"Sin"
W"Sin"

julia> sin1 = W"Sin"(1.0)
W"Sin(1.0)"

julia> sinx = W"Sin"(W"x")
W"Sin"(W"x")

To parse an expression in the Wolfram Language, you can use the W cmd macro (note the backticks):

julia> W`Sin[1]`
W"Sin"(1)

weval evaluates an expression:

julia> weval(sin1)
0.8414709848078965

julia> weval(sinx)
W"Sin"(W"x")

julia> weval(W"Integrate"(sinx, (W"x", 0, 1)))
W"Plus"(1, W"Times"(-1, W"Cos"(1)))

Keyword arguments can be used to pass local variables

julia> weval(sinx; x=2.0)
0.9092974268256817

Notes

• Mathematica, Wolfram, MathLink are all trademarks of Wolfram Research.