I know I can use display.getRotation() to determine one of:

Surface.ROTATION_0
Surface.ROTATION_90
Surface.ROTATION_180
Surface.ROTATION_270

with respect to the "natural" device orientation.  But I want to use
this data to determine one of:

ActivityInfo.SCREEN_ORIENTATION_PORTRAIT
ActivityInfo.SCREEN_ORIENTATION_LANDSCAPE
ActivityInfo.SCREEN_ORIENTATION_REVERSE_PORTRAIT
ActivityInfo.SCREEN_ORIENTATION_REVERSE_LANDSCAPE

so that I can use this in setRequestedOrientation().  The trouble is I
don't know how to map the first set to the second set.  I suppose if I
knew how to determine which ActivityInfo constant went with the
"natural rotation", then I would be able to do.  So how do I determine
if the natural rotation is portrait or landscape?  (I assume it is
never reverse portrait or reverse landscape!)

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