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1978 IEEE 4th Symposium onomputer Arithmetic (ARITH)最新文献

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An arithmetic module for efficient evaluation of functions 一个有效计算函数的算术模块
1978 IEEE 4th Symposium onomputer Arithmetic (ARITH) Pub Date : 1978-10-01 DOI: 10.1109/ARITH.1978.6155774
M. Ercegovac, Melvin M. Takata
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引用次数: 2
A realistic model for error estimates in the evaluation of elementary functions 初等函数求值误差估计的现实模型
1978 IEEE 4th Symposium onomputer Arithmetic (ARITH) Pub Date : 1978-10-01 DOI: 10.1109/ARITH.1978.6155776
K. Frankowski
{"title":"A realistic model for error estimates in the evaluation of elementary functions","authors":"K. Frankowski","doi":"10.1109/ARITH.1978.6155776","DOIUrl":"https://doi.org/10.1109/ARITH.1978.6155776","url":null,"abstract":"Floating point error analysis, as described by J. H. Wilkinson (1963) has two known drawbacks: it is too pessimistic and too cumbersome for everyday use. This paper describes a realistic model for error analysis, gives examples of simple formulae frequently used in the calculation of elementary functions, and analyses the error generated in single precision computations with these formulae, using the proposed model for error analysis. The paper also presents error bounds for various polynomial evaluations, as predicted by the model. Model verification is done using double precision arithmetic.","PeriodicalId":443215,"journal":{"name":"1978 IEEE 4th Symposium onomputer Arithmetic (ARITH)","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1978-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114339013","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On modulo (2n+1) arithmetic logic 模(2n+1)算术逻辑
1978 IEEE 4th Symposium onomputer Arithmetic (ARITH) Pub Date : 1978-10-01 DOI: 10.1109/ARITH.1978.6155764
D. Agrawal, T. Rao
{"title":"On modulo (2n+1) arithmetic logic","authors":"D. Agrawal, T. Rao","doi":"10.1109/ARITH.1978.6155764","DOIUrl":"https://doi.org/10.1109/ARITH.1978.6155764","url":null,"abstract":"A novel format for representing modulo (2n+1) numbers, is shown to be helpful in achieving modular addition and complementation. Logic for fast addition using carry-look-ahead and modular complementation is also presented.","PeriodicalId":443215,"journal":{"name":"1978 IEEE 4th Symposium onomputer Arithmetic (ARITH)","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1978-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116616025","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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