The following photo is a part of a paper(Quicker than Quickhull by Nam-Du ?ng Hoang et al) and it is about the orient operator of three points in a plain that uses the cross-product.
It is said that the numerical stability of (4) is worse than (2) and (3), in general.
From the resources found on the Internet, I can expect as it is said, but I do not know why it is exactly.
Decimal point operation is not very accurate when it comes to computation by computers. Could anyone please explain (or compare the (2)~(4) equations) what exactly happens in terms of numerical stability?
与恶龙缠斗过久,自身亦成为恶龙；凝视深渊过久,深渊将回以凝视…
