So if you move your character over a distance of 1000 units instead of 100 the inaccuracies become very noticable
In the case of a scale by ten, the inaccuracy would indeed be 10 times bigger (*if* it's really the case internally - the "epsilon" issue would be a contradiction to this), but everything being ten times bigger the relative inaccuracy is just the same. As long as you don't go too close to the maximum float value ( -> possibilies of overflow ) everything would then be fine. Blitz units?
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