You need gcc, gfortran and python with numpy and scipy
Tested on: gcc/gfortran version 4.8.2, python 2.6. all from ubuntu repositories.
C language calling a Fortran 90 function inside a module using the iso_c_binding intrinsic module.
Fortran program calling a C function the iso_c_binding intrinsic module.
Fortran calling a Python function through a C function, this proof of concept uses numpy array and the memory is allocated in fortran. This is interesting because numpy can use the contiguous memory allocated on fortran without maneuvers on notation.
Python calling Fortran using f2py (note: requires numpy/scipy). It would be nice to build a f90 module and place the subroutine inside it, instead of making only a subroutine file.
F77 linking with underscore to C, cffi, numba (python). Maybe try with other languages like ruby, go and jvm-based langs.