Integer summing algorithms on reconfigurable meshes

Integer summing algorithms on reconfigurable meshes
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可重构网格上的整数求和算法

DOI:
10.1109/icapp.1995.472185
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发表时间:
1995
期刊:
Proceedings 1st International Conference on Algorithms and Architectures for Parallel Processing
影响因子:
--
通讯作者:
K. Wada
K. Wada
中科院分区:
--
文献类型:
--
作者:
K. Nakano;K. Wada

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本文介绍了以下算法,以计算可重新配置的并行机器模型上的n d-bit整数之和:i)在大小d/spl radic/n log/sup的位模型的可重新配置网格上的恒定时间算法(o) (1/))N/SPL时间// spl radic/n,ii)a(log* n) - 位可重新配置网格上的a(log* n) - 时间算法大小d/spl radic/(n/log* n)/spl times // spl radic/(n/log* n),iii)o(log d+log* n) - 可重新配置网格上的时算法的模型大小/spl radic/(n/(log d+log* n)的单词模型)/spl times // spl radic/(n/(log d+log* n))和iv)o(log) * n) - vlsi可重构电路O(dn/log* n)的时间算法。<< etx >>
This paper presents the following algorithms to compute the sum of n d-bit integers on reconfigurable parallel machine models: i) a constant-time algorithm on a reconfigurable mesh of the bit model of size d/spl radic/n log/sup (O(1/)) n/spl times//spl radic/n, ii) an O(log* n)-time algorithm on a reconfigurable mesh of the bit model of size d/spl radic/(n/log* n)/spl times//spl radic/(n/log* n), iii) an O(log d+log* n)-time algorithm on a reconfigurable mesh of the word model of size /spl radic/(n/(log d+log* n))/spl times//spl radic/(n/(log d+log* n)), and iv) an O(log* n)-time algorithm on a VLSI reconfigurable circuit of area O(dn/log* n).<<ETX>>