Note: the improved loop in the "1. They are not exact" can easily hang. If count > 2^24, then the ulp of f is 2, and adding 1.0f leaves f unchanged. What's wild is that a few lines later he notes how above 2^24 numbers start “jumping” every 2. Ok, but FP are always "jumping", by their ulp, regardless of how big or small they are.