I'm observing that when plotting large images and zooming in closely, the qt terminal plots nothing (I just get a gray screen). Attached is a data file that shows this (it's a DEM of an area of Southern California). I'm using a fairly recent gnuplot from the repository (latest commit is 'Allow changing textcolor of the timestamp').
set terminal qt
set cbrange [0:3500]
plot "N34W119.hgt" binary format="%short" endian=big array=(1201,1201) with image
So far so good. I see the image. Now I zoom in
set xrange [200:205]
set yrange [200:205]
Now I see just blank gray space, instead of the zoomed image. This works fine with the x11 terminal. Also this works fine if I don't zoom in quite as closely.
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