{"title":"分析了实现高基数对数的权衡","authors":"José-Alejandro Piñeiro, M. Ercegovac, J. Bruguera","doi":"10.1109/ICCD.2002.1106760","DOIUrl":null,"url":null,"abstract":"An analysis of the tradeoffs between area and speed for a sequential implementation of a high-radix recurrence for logarithm computation is presented in this paper The high-radix algorithm is outlined and a sequential architecture is proposed, with the use of selection by rounding of the digits and redundant representation. Estimates of the execution time and total area are obtained for n = 16, 32 and 64 bits of precision and for radix values from r = 8 to r = 1024. An analysis of the tradeoffs between area and speed is presented, showing that the most efficient implementations are obtained for radices r = 256 for 16, 32 bit and r = 128 for 64 bit computations.","PeriodicalId":164768,"journal":{"name":"Proceedings. IEEE International Conference on Computer Design: VLSI in Computers and Processors","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2002-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Analysis of the tradeoffs for the implementation of a high-radix logarithm\",\"authors\":\"José-Alejandro Piñeiro, M. Ercegovac, J. Bruguera\",\"doi\":\"10.1109/ICCD.2002.1106760\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An analysis of the tradeoffs between area and speed for a sequential implementation of a high-radix recurrence for logarithm computation is presented in this paper The high-radix algorithm is outlined and a sequential architecture is proposed, with the use of selection by rounding of the digits and redundant representation. Estimates of the execution time and total area are obtained for n = 16, 32 and 64 bits of precision and for radix values from r = 8 to r = 1024. An analysis of the tradeoffs between area and speed is presented, showing that the most efficient implementations are obtained for radices r = 256 for 16, 32 bit and r = 128 for 64 bit computations.\",\"PeriodicalId\":164768,\"journal\":{\"name\":\"Proceedings. IEEE International Conference on Computer Design: VLSI in Computers and Processors\",\"volume\":\"27 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2002-09-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings. IEEE International Conference on Computer Design: VLSI in Computers and Processors\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCD.2002.1106760\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings. IEEE International Conference on Computer Design: VLSI in Computers and Processors","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCD.2002.1106760","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Analysis of the tradeoffs for the implementation of a high-radix logarithm
An analysis of the tradeoffs between area and speed for a sequential implementation of a high-radix recurrence for logarithm computation is presented in this paper The high-radix algorithm is outlined and a sequential architecture is proposed, with the use of selection by rounding of the digits and redundant representation. Estimates of the execution time and total area are obtained for n = 16, 32 and 64 bits of precision and for radix values from r = 8 to r = 1024. An analysis of the tradeoffs between area and speed is presented, showing that the most efficient implementations are obtained for radices r = 256 for 16, 32 bit and r = 128 for 64 bit computations.