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This seems simple enough for PARALLEL blocks. Create a private struct for communicating between the parent and subfunction. In the parent, copy in values for scalar and "small" structs; copy in addresses for others TREE_ADDRESSABLE types. In the subfunction, copy the value into the local variable.
It is not clear what to do with bare FOR or SECTION blocks. The only thing I can figure is that we do something like:
#pragma omp for firstprivate(x) lastprivate(y) for (int i = 0; i < n; ++i) body;
which becomes
{ int x = x, y; // for stuff if (i == n) y = y; }
where the "x=x" and "y=y" assignments actually have different uids for the two variables, i.e. not something you could write directly in C. Presumably this only makes sense if the "outer" x and y are global variables.
COPYPRIVATE would work the same way, except the structure broadcast would have to happen via SINGLE machinery instead.