Sure, you already know all about positive and negative zero, but are you ready for capital zero? still and sparkling zero?
Tired: 2⁵² distinct NaNs
Wired: 2⁶⁴ distinct zeros
@steve a unique zero in every household
@steve also, I'll have you know, I've done some birthday attack-style sampling and according to these test results, the likelihood of there being only 2^52 distinct NaNs is vanishingly small. have yet to observe a collision in 2^34 values sampled!!!!
@rygorous @steve i actually exhaustively enumerated bf16 and found there were infinitely many nans!