一种32位对数运算单元及其与浮点数的性能比较

J. N. Coleman, E. Chester
{"title":"一种32位对数运算单元及其与浮点数的性能比较","authors":"J. N. Coleman, E. Chester","doi":"10.1109/ARITH.1999.762839","DOIUrl":null,"url":null,"abstract":"As an alternative to floating-point, several papers have proposed the use of a logarithmic number system, in which a real number is represented as a fixed-point logarithm. Multiplication and division therefore proceed in minimal time with no rounding error. However, the system can only offer an overall advantage if addition and subtraction can be performed with speed and accuracy at least equal to that of floating-paint, but these operations require the interpolation of a non-linear function which has hitherto been either time-consuming or inaccurate. We present a procedure by which additions and subtractions can be performed rapidly and accurately, and show that these operations are thereby competitive with their floating-point equivalents. We then show that the average performance of the logarithmic system exceeds floating-point, in terms of both speed and accuracy.","PeriodicalId":434169,"journal":{"name":"Proceedings 14th IEEE Symposium on Computer Arithmetic (Cat. No.99CB36336)","volume":"304 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"50","resultStr":"{\"title\":\"A 32 bit logarithmic arithmetic unit and its performance compared to floating-point\",\"authors\":\"J. N. Coleman, E. Chester\",\"doi\":\"10.1109/ARITH.1999.762839\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"As an alternative to floating-point, several papers have proposed the use of a logarithmic number system, in which a real number is represented as a fixed-point logarithm. Multiplication and division therefore proceed in minimal time with no rounding error. However, the system can only offer an overall advantage if addition and subtraction can be performed with speed and accuracy at least equal to that of floating-paint, but these operations require the interpolation of a non-linear function which has hitherto been either time-consuming or inaccurate. We present a procedure by which additions and subtractions can be performed rapidly and accurately, and show that these operations are thereby competitive with their floating-point equivalents. We then show that the average performance of the logarithmic system exceeds floating-point, in terms of both speed and accuracy.\",\"PeriodicalId\":434169,\"journal\":{\"name\":\"Proceedings 14th IEEE Symposium on Computer Arithmetic (Cat. No.99CB36336)\",\"volume\":\"304 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1999-04-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"50\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings 14th IEEE Symposium on Computer Arithmetic (Cat. No.99CB36336)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ARITH.1999.762839\",\"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 14th IEEE Symposium on Computer Arithmetic (Cat. No.99CB36336)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ARITH.1999.762839","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 50

摘要

作为浮点数的替代方案,一些论文提出使用对数数系统,其中实数表示为定点对数。因此,乘法和除法在最短的时间内进行,没有舍入误差。然而,如果加减法的执行速度和精度至少与浮涂法相当,该系统只能提供总体优势,但这些操作需要非线性函数的插值,迄今为止要么耗时,要么不准确。我们提出了一个过程,通过它可以快速准确地执行加减法,并表明这些操作因此与它们的浮点等价物竞争。然后,我们证明了对数系统的平均性能在速度和精度方面都超过了浮点。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A 32 bit logarithmic arithmetic unit and its performance compared to floating-point
As an alternative to floating-point, several papers have proposed the use of a logarithmic number system, in which a real number is represented as a fixed-point logarithm. Multiplication and division therefore proceed in minimal time with no rounding error. However, the system can only offer an overall advantage if addition and subtraction can be performed with speed and accuracy at least equal to that of floating-paint, but these operations require the interpolation of a non-linear function which has hitherto been either time-consuming or inaccurate. We present a procedure by which additions and subtractions can be performed rapidly and accurately, and show that these operations are thereby competitive with their floating-point equivalents. We then show that the average performance of the logarithmic system exceeds floating-point, in terms of both speed and accuracy.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信