-brazil- writes: Every programmer forum gets a steady stream of novice questions about numbers not "adding up". Apart from repetitive explanations, SOP is to link to a paper by David Goldberg which, while very thorough, is not very accessible for novices. To alleviate this, I wrote The Floating-Point Guide, as a floating-point equivalent to Joel Spolsky's excellent introduction to Unicode. In doing so, I learned quite a few things about the intricacies of the IEEE 754 standard, and just how difficult it is to compare floating-point numbers using an epsilon. If you find any errors or omissions, you can suggest corrections github.
Nearly every complex solution to a programming problem that I
have looked at carefully has turned out to be wrong.
-- Brent Welch