Parallel execution of nested loops in band parallelism

Z. Chen, C.-C. Chang, C. Tsai
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Abstract

How to execute a nested loop in band parallelism on a multiprocessor system is addressed. The mathematical models of the waveband method, the hyperplane method, the modified hyperplane method and the linear band method are derived and compared. Since the structures of the real multiprocessor systems are at most 3-dimensional, in order to map the loop into these systems, an efficient algorithm for finding the optimal linear band in 2-dimensional index space, instead of a high dimensional index space, is proposed.
在频带并行中并行执行嵌套循环
讨论了如何在多处理器系统上执行带并行的嵌套循环。推导并比较了波段法、超平面法、修正超平面法和线性波段法的数学模型。由于实际多处理器系统的结构最多是三维的,为了将环路映射到这些系统中,提出了一种在二维索引空间而不是高维索引空间中寻找最优线性带的有效算法。
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