Re:One does not simply calculate the absolute value
by edflsafoiewq on Monday August 23, 2021 @12:31AM
(#28272350)
I don't really understand. Why is it important that there be two zeros so that
1/ (+0) = +∞ but 1/ (–0) = –∞
but not that there be two, say, 3s so that
1/ (3⁺ – 3) = +∞ but 1/ (3⁻ – 3) = –∞
https://hackernoon.com/negative-zero-bbd5fd790af3
But, bottom line, Kahan (not only the father of IEEE 754, but also, with Golub, father of the SVD!) has thought about it a lot, and though he called the signed zero "a pain in the ass", he also said "There really wasn’t a way around that and you were stuck with it."
http://history.siam.org/pdfs2/Kahan_final.pdf