This doesn't really work either - how many bits for the joystick input?
I am guessing about 65k positions possible.
What is the actual level of granularity you have? Probably a lot less - I doubt you could hit each and every one of those points, even with an unsprung stick.
So you would probably want at least a 10x10 block of input points per pixel that the mouse cursor could rest over.
Yeah, may work for lower resolutions, but for big monitors or multi-monitor, it would be useless. This is why mouse DPIs had to go up, because screen resolutions were going up but mouse mats weren't getting any bigger
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