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The library you mentioned is functionally equivalent to a subset of UTE (see this file https://github.com/bohonghuang/cl-universal-tween-engine/blob/master/tween-equations.lisp). UTE not only provides these easing functions, but more importantly, it manages interpolated changes to values over time. You can create nested timelines, set callbacks for when interpolations end, rewind and repeat animations, and all you need to do is pass UTE the frame interval. This makes it well-suited for real-time rendering applications like games.
Well, this is all kinds of awesome. How does your engine compare to the easing library by Vyyd for Sketch (link: https://github.com/vydd/easing)?