Read Matlab variables from .m file to C++

Suppose I have a Matlab text file 'data.m' with the contents

% matlab 2x2 matrix
A=[1,2;3,4]

I would like to read the matrix A into a variable of my C++ code, something like

vector<int> v;
matlab_read<int> ("data.m", "A", &v);

I only need to parse Matlab variables, not Matlab functions.

Is there some C++ parser library or API which can do this?

(I know there is there are Matlab APIs like engine.h or mat.h, but I would rather prefer some open source library, so that people without Matlab can also run the code.)