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The reason that spinning can be appropriate is two-fold: context switches and kernel transitions are very expensive On a multiprocessor machine, spinning can avoid both of them Think about a common sequence of events that would occur if we were programming with a lock without built in spinning 1 Thread Tl acquires lock L and begins running its critical region 2 Thread T2 tries to acquire lock L; it's already held, so T2 blocks (This incurs a kernel transition and context switch) 3 Thread Tl exits its critical region, releasing lock L This signals T2 (The signal itself also incurs a kernel transition, and possibly a switch depending on priority boosting and the current state of the system) 4 Thread T2 awakens and again tries to acquire lock L (This also incurs a context switch, for T2 to awaken and become rescheduled ) There are always two context switches in this example: one when T2 ini tially finds lock L to be held (step 2) and another when Tl releases L and sig nals T2 to wake up and acquire it (step 4) If T2 is preventing Tl from making forward progress at step 2-perhaps because this example is run on a sin gle processor machine-then putting it to sleep so that Tl can run is the best thing we can do But if Tl and T2 are running concurrently, and step 3 is very short, the two context switches add considerable overhead: anywhere from a few thousand to more than 1 0,000 cycles, in addition to the possibility of dirtying caches Because of priority boosting, the thread releasing the region, Tl , may get context switched out so that T2 can run in its place This helps to mitigate convoys that might have otherwise occurred, but the threat of convoying due to all of these context switches remains very real Locks that spin briefly can avoid the context switches entirely Instead of blocking at step 2, T2 will spin wait for L to become available This also avoids the switch at step 4, because T2 is already running when it notices that L has become available Because massive contention is typically uncom mon, and because lock hold times are on average meant to be very short, spin waiting can be advantageous.

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If the process produces items with the above probabilities, this becomes 001/(1 + 001) = 00099 One might presume that the probability the rst defective item occurs at an even-numbered observation is the same as the probability the rst defective item occurs at an odd-numbered observation This cannot be correct, however, since the probability the rst defective item occurs at the rst observation (an odd-numbered observation) is p It is easy to show that the probability the rst defective item occurs at an odd-numbered observation is 1/(1 + q), and for a process with equal probabilities, such as tossing a fair coin, this is 2/3

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The implementation of a general purpose spin lock is a more difficult task than you might imagine, however There are many trivia-like details to ensure spin waiting works properly on Windows and the kinds of proces sors on which Windows runs; these have to do with the thread scheduler, Intel HyperThreading (HT), and caches In addition, most spin locks really should fall back to true waiting in worst case situations, such as when the cost of a context switch has already been exceeded at some implementation complexity Even when the worst cases seem statistically improbable, they can occur if a thread is interrupted by a context switch while in a critical section or when the arrival rate at a lock becomes unusually high In this section, we'll look at two spin lock approaches The first spins on a shared variable, and doesn't fall back to true waiting, although it does explicitly yield the thread's timeslice after some time The second is a lock called a Mellor-Crummey-Scott (MCS) lock, which reduces contention on shared memory locations It has been proven to exhibit higher degrees of scalability on large multiprocessor machines with nonuniform memory access (Both are shown in C# code The transformation to C++ is typically much easier than the reverse because C# needs to deal with the possibility of asynchronous thread aborts This fact can complicate matters, particu larly when we look at MCS locks)

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How to Properly Spin on Windows Before moving on to the lock specifics, there are some basic rules you should consider when using spin waits on Windows

.

Issue calls to Yie l d P ro c e s s o r (in Win32) or T h r e a d Y i e l d (in NET) on each iteration of your spin wait loop These emit YI E LD or PAU S E instructions on relevant processors-which is only Intel's Hyper Threading (HT) enabled processors-and NOPs on other processors where HT isn't present (Th read Y i e l d in NET takes a numeric argu ment and emits that number of these instructions in a loop) This ensures the processor is made aware that the code currently running is performing spin waits and will make the execution unit available to other logical processors so they can make true forward progress

In the previous chapter, we have used the central limit theorem to calculate con dence intervals and to carry out tests of hypotheses In noting that the ran dom variable ( )/( / n) follows a N(0, 1) distribution, we rely heavily on x the fact that the standard deviation of the population, , is known However, in many practical situations, both population parameters, and , are unknown In 1908, WG Gossett, writing under the pseudonym Student discovered the following: Theorem 102 The ratio of a N(0, 1) random variable divided by the square root of a chi-squared random variable divided by its degrees of freedom (say n) follows a Student t distribution with n degrees of freedom (tn ) 2 Since ( )/( / n) is a N(0, 1) random variable, and (n 1)s2 / 2 is a n 1 x variable, it follows that [( )/( / n)]/ (n 1)s2 / 2 (n 1) follows a tn 1 x

In most spin wait circumstances, shared state will be read during each iteration This can lead to memory traffic and cache contention Therefore, it is wise to introduce a growing delay-called exponen

tial backoff-on each spin iteration It also sometimes makes sense to introduce randomization to avoid multiple threads from execut ing in a lock step fashion, which would possibly lead to a severe case of livelock

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