Introduction to the dark arts of floating point numbers
2021-12-28, 17:00–17:30 (Europe/Berlin), FeM Channel
Language: English

This is a talk about floating point numbers, specifically the sort named IEEE-754, aka "why are javascript numbers so weird", aka "nooo you can't compare floats for equality!" (Spoiler: sometimes you can.) This is a talk about why.


Floating point numbers, which are the things that most programming languages call something like "float", while Javascript just says "number", are famously weird and confusing:

> big_number = 1e16
10000000000000000
> 25 + big_number - big_number
24.0
> big_number == big_number + 1
true

In this talk, I'll show you some of my favorite weird floating point phenomena, and then I'll try to explain why they happen.

If you are a bit scared of floating point, like I used to, and you're never quite sure which formulas might turn on you and summon the eldritch abomination named NaN, then maybe this talk can help you build an ability to understand (and perhaps control) these phenomena.

This will obviously be a very numbers-heavy talk, but I'm going to try to make it as accessible as I can. Knowledge of things like binary numbers or scientific number notation is not required.


Language

Englisch

I've been studying physics for the past seven years and only regret some of it, which I think is a pretty good outcome.