LaurieWired is a google researcher, and serial complexity unpacker! Here she is explaining the surprisingly complex issue that fading audio creates for our computers - dealing with what are called subnormals. Showing how this is calculated, and detailing how different companies dealt with the challenge - it's very well explained, explored, and demonstrated. She has other videos which are equally as well laid out, here's more from the info..
Fading out audio is one of the most CPU-intensive tasks you can possibly do! When numbers get really small, the number of CPU operations can explode 100-fold. Both x86 and ARM have special CPU instructions just to handle it. But why? In this video, we'll explore the IEEE 754 (floating point) standard, the fight between Intel and DEC, and I'll write some demonstration C++ code that illustrates this problem even today!
Here are the video timestamps:
00:00 Subnormal Arithmetic Cost
02:25 An Accuracy Debate...
06:28 Too small to calculate?
08:56 IEEE 754 Standard
10:17 Digital Audio Workstation Conundrum
14:18 A Massive CPU Spike
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