in_out_expo

in_out_expo(t: float) -> float

Exponential ease in-out - slow start, dramatic acceleration, then dramatic deceleration.

Combines exponential ease-in and ease-out, creating a smooth transition that starts slowly, accelerates dramatically in the middle, then decelerates dramatically to a smooth stop. The exponential nature creates very pronounced acceleration/deceleration phases. Mathematical form: Uses 2^(20t-10) for first half, 2^(-20t+10) for second half Use cases: - Cinematic zoom effects that need dramatic impact - High-energy transitions between major interface states - Emphasizing important state changes with theatrical timing - Creating "whoosh" effects in motion graphics - Scaling animations that need to feel powerful and impactful Like a sports car: gentle acceleration from standstill, then explosive power in the middle, followed by powerful braking to a smooth stop.