into the hash would have up to 11 bits. But because there was a 6 bits overlap between subsequent IDs and their high bits tended to be similar, there was a chance for accidental chain-hash collision for a low number of locks held. the solution is to shift by 11 bits: #define iterate_chain_key(key1, key2) \ (((key1) << MAX_LOCKDEP_KEYS_BITS) ^ \ ((key1) >> (64-MAX_LOCKDEP_KEYS_BITS)) ^ \ (key2)) This keeps the hash perfect up to 5 locks held, but even above that the hash is still good because 11 bits is a relative prime to the total 64 bits, so a complete match will only occur after 64 held locks (which doesnt happen in Linux). Even after 5 locks held, entropy of the 5 IDs mixed into the hash is already good enough so that overlap doesnt generate a colliding hash ID. with this change the false positives went away. Signed-off-by: Ingo Molnar Signed-off-by: Andrew Morton Signed-off-by: Linus Torvalds 1«øX’4x