...and this system calculates windage how?
I didn't read the full article, but my guess is that it uses something akin to the ballistic computer in an Abrams tank. The thing at the back of the turret that looks like a periscope is actually a crosswind sensor...
...it reads the speed and direction of the wind at the firing position and extrapolates that all the way to the target in calculating a ballistic solution. Of course it's not perfect, but it is better than nothing, and is, as they say, "good enough for government work."
It uses Kentucky Windage.