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We simply read the m_h e a d variable into a local, n, and try to swap the m_h e a d variable with n ' s m_n ext refe r e n c e If this fails, we loop back and try again Notice that we'd have a tricky issue to deal with if this were writ ten in VC++ Specifically, another thread concurrently popping a node off the stack might try to free the memory associated with the node If we accessed its m_n ext pointer, we'd have a problem: a n u l l dereference and likely an ensuing AY This implementation is lock free but it isn't wait free Whenever a thread fails, it's because another thread made forward progress (Le, succeeded in its own operation) But we make no accommodation to prevent a particular thread being starved by other threads In a real implementation, we'd also probably want to add some amount of spin-wait backoff when a thread fails to make forward progress This would reduce contention on the shared variable and can make a big difference for very hot stacks on machines with many processors

order for the operation t o succeed I t returns t r u e if the comparison succeeded-that is, if the value specified in (3) was found in location ( 1 ), and therefore the write of (2) succeeded-or fa l s e if the operation failed, meaning that the comparison revealed that the value in location ( 1 ) was not equal to (3) With such a CAS instruction in hand, we can use an algo rithm similar to the first intuitive guess we gave at the beginning of this section:

OMB No 1545-0028

void EnterCrit i c a l Region ( )

Let us return to the problem rst encountered when we counted the permutations of objects, some of which are alike Speci cally, we wanted to count the number of distinct permutations of 3 A s, 4 B s, and 5 C s, where the individual letters are not distinguishable from one another 12! We found the answer was G = 5!4!3! = 27, 720 Here s another way to arrive at the answer From the 12 positions in the permutation, choose 3 for the A s This can be done in 12 3 9 ways Then from the remaining nine positions, choose four for the B s This can be done in 4

II Ma rk t h e region a s t a k e n wh i l e ( ! CAS ( &t a k e n , 1 , a 1 * b u s y wa it * 1

} void LeaveC r it i c a l Region ( )

Department of the Treasury Internal Revenue Service (99)

A thread trying to enter the critical region continuously tries to write 1 into the taken variable, but only if it reads it as 0 first, atomically Eventu ally the region will become free and the thread will succeed in writing the value Only one thread can enter the region because the CAS operation guarantees that the load, compare, and store sequence is done completely atomically This implementation gives us a much simpler algorithm that happens to accommodate an unbounded number of threads, and does not require any form of alternation It does not give any fairness guarantee or preference as to which thread is given the region next, although it could clearly be extended to do so In fact, busy waiting indefinitely as shown here is usu ally a bad idea, and instead, true critical region primitives are often built on top of OS support for waiting, which does have some notion of fairness built in Most modern primitive synchronization primitives are built on top of CAS operations Many other useful algorithms also can be built on top of CAS For instance, returning to our earlier motivating data race, ( * a ) ++, we

ways Finally, there are ve positions left for the 5 C s So the total number of permutations 9 9! 5! 12! must be 12 4 5 , which can be simpli ed to 3! 12! 5!5! 0! = 5!4!3! , as before 3 5 9!4!

can use CAS to achieve a race-free and serializable program rather than using a first class critical region For example:

void Atom i c l n c rement ( i nt * p )