NDLI: Odd memory systems may be quite interesting

Content Provider	ACM Digital Library
Author	Seznec, André Lenfant, Jacques
Abstract	Using a prime number of N of memory banks on a vector processor allows a conflict-free access for any slice of N consecutive elements of a vector stored with a stride not multiple of N.To reject the use of a prime (or odd) number N of memory banks, it is generally advanced that address computation for such a memory system would require systematic Euclidean Division by the number N. We first show that the well known Chinese Remainder Theorem allows to define a very simple mapping of data onto the memory banks for which address computation does not require any Euclidean Division.Massively parallel SIMD computers may have several thousands of processors. When the memory on such a machine is globally shared, routing vectors from memory to the processors is a major difficulty; the control for the interconnection network cannot be generally computed at execution time. When the number of memory banks and processors is a product of prime numbers, the family of permutations needed for routing vectors for memory to the processors through the interconnection network have very specific properties. The Chinese Remainder Network presented in the paper is able to execute all these permutations in a single path and may be self-routed.
Starting Page	341
Ending Page	350
Page Count	10
File Format	PDF
ISSN	01635964
DOI	10.1145/173682.165175
Journal	ACM SIGARCH Computer Architecture News (CARN)
Volume Number	21
Issue Number	2
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	1981-04-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Prime memory systems Simd computers Vector Chinese remainder network
Content Type	Text
Resource Type	Article

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Odd memory systems may be quite interesting

Odd Memory Systems May Be Quite Interesting

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