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A payroll procedure is a written statement that itemizes the reason for an activity, notes who is responsible for it, and describes exactly how the activity is to be completed It is highly applicable to the payroll function, which is full of activities that must be completed the same way, every time The first step in creating a set of payroll procedures is to construct a flowchart of the overall process to identify all activities The flowchart ensures that a procedure is written for each one Also, each box in the flowchart contains an identifying index number for each procedure, which is later listed as the procedure number in the header for each procedure Thus, one can first refer to a process flowchart for the specific procedure needed and then trace the index number to the detailed procedure A sample payroll process flowchart is shown in Exhibit 31 The remainder of this section contains six payroll procedures that correspond to the activities just noted on the payroll process flowchart For consistency, they all have exactly the same format The header contains a company logo, as well as a notation box on the right side of the header that lists an index (or retrieval) number, the page number, the date on which the procedure was created, and the index number of any procedure that it has replaced The main body of the procedure is

**---**

We can see i n this particular computer that each processor has its own 32KB L1 cache (both I-cache and D-cache) and that each socket has a shared 4MB L2 cache There is no cache common to all processors

20 15 10 5

As discussed, cache coherence adds cost Not only do the additional mem ory transactions cost something, but the need for a processor to invalidate and refetch a cache line will add considerable overhead to any program Therefore, thoughtful memory access behavior is important, and modern caches are designed to reward memory conscious programming This kind of memory friendly behavior is called locality

* This chapter is derived from 3 of Bragg, Essentials of Payroll (Hoboken, NJ: John Wiley & Sons, 2002)

Spatial locality Memory that is physically close together should be used together For example, if an operation must access multiple memory locations, prefer to access those that will reside on the same cache line close together in the operation Typically this kind of locality is inherent in many programs If your program accesses one

field of an object, the chances are very good that your program will need to access another field of that same object Larger cache lines prefetch data that is likely to be needed soon afterward

002 032 062 092 122 152 182 212 242 272 302

Temporal locality Memory that must be used multiple times should be done as close (in time) as possible By doing so, the chance that the cache line on which the location resides will still be in the closest cache when subsequent operations are reached is greater

Payroll (PAY)

Both are important Not programming in a locality conscious way will lead to an increase in CPI, which will slow your program down and increase memory bus traffic This can easily cause the memory system to become the bottleneck on parallel machines; ideally, the CPU would be the bottleneck, such that adding more processors will allow inherent scalabil ity to use them freely Programming in a locality conscious way is more of a heuristics based art than a well defined and verifiable methodology but is important to always keep in mind when designing data structures and algorithms for parallel programs

The Cost of Sharing Let's see specifically why locality is important and what the effects of not paying attention to it can be When more than one processor shares access to a location in memory that resides on the same cache line, coherence traffic will increase and can negatively impact performance This is especially bad when the processors are performing writes, because it requires invalidation of lines in local processor caches This is particularly true of atomic (interlocked) operations because they must acquire cache lines in exclusive (E) mode Contention like this can even lead to an exclusive bus lock on older memory architectures What's worse, false sharing often leads to the symptoms of sharing, but is not always evident in the program This happens when two different memory locations are spatially collocated in memory, but logically distinct in the program For heap memory this is often a byproduct of how memory gets allocated In NET, the server GC has processor local heaps and so allo cations on separate processors should be physically separate enough to avoid this issue Similarly, many native memory allocators have processor local pools of free pages; this is primarily to avoid contention, but also helps

It is clear that the graph has a somewhat long right-hand tail and of course must be nonnegative It is certainly not normal due to these facts Our sample showed a mean value for the sample variances to be 1044452, and the variance of these variances was 0521731 Now we state, without proof, the following theorem: Theorem 101 If samples are selected from a N( , ) distribution and the sample variance s2 is calculated for each sample, then (n 1)s2 / 2 follows the chi-squared 2 probability distribution with n 1 degrees of freedom ( n 1 )