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itself is usually not determinably statically A decent compromise is to overdecompose the work For instance, rather than choosing a value for p that is equal to the number of processors, choose twice the number of processors (or some other constant multiplier) While this is less efficient than the simple static partitioning shown earlier, when work never blocks and all iterations are equal, this perfect scenario seldom arises in practice Experiment with different strategies for your particular workload and make decisions based on measurements
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Striped Iterations Breaking the iteration space into contiguous iterations is not always the best solution For instance, we saw a case above where the cost of loop iterations increases as the iteration number increases But some times threads will terminate the iteration early (something we will discuss shortly when we look at cooperative algorithms), and it may make sense to have all threads iterating on lower (or higher) indices to minimize the possibility of wasted work As a real world illustration, imagine we want to find the first occur rence of an element in a list that satisfies some criteria When a thread finds a candidate, we still cannot break out of the loop until all other threads have iterated up to the candidate element because it's possible they will find one earlier than the candidate With the aforementioned partitioning approach, there is virtually no benefit to a thread finding a later element quickly One solution is to use striping rather than contigu ous iterations With striping, the input data is divided into many smaller chunks As any given thread moves from one chunk to the next, it must "skip over" all other threads' chunks Contiguous partitioning is a special case of strip ing where the chunk size is chosen carefully so that each thread has only a single chunk The choice of chunk size is something that you will also have to decide It often makes sense to choose a number that will result in aligned accesses, for example, if we're indexing into an array, we may choose a chunk size that, when multiplied by the size of the elements in the array, yields a size that is 1 28- or 64-byte aligned
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The overall structure of the P a r a l l e l F o r algorithm remains the same when striping is used, but a couple details, such as the calculation of indices during the per thread loop, change
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