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real*X is a bug - and some things more in the vicinity

Fortran Standard is clearly stating that the kind numbering is arbitrary and implementation dependent. Best is to go with the basic Fortran types:

real8 as of today and the compilers which support this: double precision (is C interoperable with c_double)
real
4 as of today and the compilers which support this: real (is C interoperable with c_float)

To get Fortran logical working at all you need to define logical always as logical(kind=c_bool) (you can as well use logical(c_bool), which I personally find nicer).

Array low bound calculation

m_dim.push_back(CFI_dim_t{i_cdesc_t.dim[i].lower_bound+1, i_cdesc_t.dim[i].extent, i_cdesc_t.dim[i].sm});

+1 is needed otherwise a 0 low bound array is stored, also if the original fortran array is a 1 low bound one

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