元胞自动机中并行算法的实现

R. Squier, K. Steiglitz, Mariusz H. Jakubowski
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引用次数: 14

摘要

我们描述了一种利用粒子模型-粒子机(PM)在一维元胞自动机中利用粒子传播和碰撞进行并行计算的方法。这种机器具有收缩阵列的并行性、结构规则性和局部连通性,但具有通用性和可编程性。它不包含显式的乘数、加法器或其他固定的算术运算;这些是使用注入元胞自动机介质的逻辑粒子的细粒度相互作用来实现的,它们代表数据和处理器。我们给出了加法、减法、乘法和除法的并行、线性时间实现。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Implementation of parallel arithmetic in a cellular automaton
We describe an approach to parallel computation using particle propagation and collisions in a one-dimensional cellular automaton using a Particle model-a Particle Machine (PM). Such a machine has the parallelism, structural regularity, and local connectivity of systolic arrays, but is general and programmable. It contains no explicit multipliers, adders, or other fixed arithmetic operations; these are implemented using fine-grain interactions of logical particles which are injected into the medium of the cellular automaton, and which represent both data and processors. We give parallel, linear-time implementations of addition, subtraction, multiplication and division.
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