AppGraphics programs should work fine on WINE.  The library doesn't make any exotic calls into the Windows API.  If anyone encounters any issues, though, it would be considered a bug.

I know Wtindows SF works perfectly well with Linux/WINE but you know whether WINE has enough Windows emulation also for AppGraphics calls to work?  I mean, when (a) using Windows-SF in Linux/WINE to compile Fortran with AppGraphics calls, then (b) running the resulting Windows executable also in Linux/WINE?

I'm talking about Linux running on an Intel laptop this time, not the fabulous little RPi. That, alas, hasn't yet cracked WINE.
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John