in_out_circ

in_out_circ(t: float) -> float

Circular ease in-out - smooth acceleration following circular arc, then smooth deceleration.

Combines circular ease-in and ease-out, creating a perfectly smooth S-curve that follows the mathematical attributes of a circle. The acceleration and deceleration phases are perfectly symmetrical and create very natural-feeling motion. Mathematical form: Uses √(1-t²) for circular arc calculation Use cases: - Natural object motion that needs to feel physically realistic - Smooth camera movements and panning - Organic transitions between interface states - Animations where you want smooth acceleration without harsh stops - Breathing or pulsing effects - Element positioning that should feel effortless Like a skilled driver: smooth acceleration onto a highway, maintaining steady speed, then smooth deceleration to a perfect parking position.