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Circuit clustering for delay minimization under area and pin constraints

机译:电路聚类,以在面积和引脚约束下使延迟最小

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摘要

We consider the problem of circuit partitioning for multiple-chip implementations. One motivation for studying this problem is the current need for good partitioning tools for implementing a circuit on multiple field programmable gate array (FPGA) chips. We allow duplication of logic gates as it could be used to reduce circuit delay. Circuit partitioning with duplication of logic gates is also called circuit clustering. In this paper, we present a circuit clustering algorithm that minimizes circuit delay subject to both area and pin constraints on each chip, using the general delay model. We develop a repeated network cut technique for finding a cluster that is bounded by both area and pin constraints. Our algorithm achieves optimal delay under either the area constraint only or the pin constraint only. Under both area and pin constraints, our algorithm achieves optimal delay in most cases. We outline the condition under which the nonoptimality occurs, and we show that the condition rarely occurs in practice. We tested our algorithm on a set of benchmark circuits, and consistently obtained optimal or near-optimal delays.
机译:我们考虑用于多芯片实现的电路分区问题。研究此问题的动机之一是当前对用于在多现场可编程门阵列(FPGA)芯片上实现电路的良好分区工具的需求。我们允许重复逻辑门,因为它可以用来减少电路延迟。具有逻辑门复制的电路分区也称为电路群集。在本文中,我们提出了一种电路聚类算法,该算法使用通用延迟模型,使每个芯片上受面积和引脚约束的电路延迟最小化。我们开发了一种重复的网络切割技术来查找受面积和引脚约束限制的群集。我们的算法在仅面积约束或仅引脚约束的情况下均可实现最佳延迟。在面积和引脚约束下,我们的算法在大多数情况下都可实现最佳延迟。我们概述了发生非最优性的条件,并且表明该条件在实践中很少发生。我们在一组基准电路上测试了我们的算法,并持续获得了最佳或接近最佳的延迟。

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