Detecting "closure" of selection

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  Assume I have a selection on small area (for instance a 20px circle), 
and I invert it. Now, if I grow the selection by a sufficient amount 
(10px in this case), everything gets selected.

Is there a practical, fast way, to detect this case, i.e, that the 
selection covers the whole layer (or image?) and that no pixels remain 
unselected? I assume that inverting the selection again and testing for 
empty would work, but that would be two selection inversions in the 
normal case and that may be a bit costly.

-- 
Bertrand


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