How to choose AVX compare predicate variants

Ordered vs Unordered has to do with whether the comparison is true if one of the operands contains a NaN (see What does ordered / unordered comparison mean?). Signaling (S) vs non-signaling (Q for quiet?) will determine whether an exception is raised if an operand contains a NaN.

From a performance perspective, these should all be the same (assuming of course no exceptions are raised). If you want to be alerted when there’s a NaN, then you want signaling. As for ordered vs unordered, it all depends on how you want to deal with NaNs.

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