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2018 IEEE 25th Symposium on Computer Arithmetic (ARITH)最新文献

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A Correctly Rounded Mixed-Radix Fused-Multiply-Add 一个正确四舍五入混合基数融合乘加
2018 IEEE 25th Symposium on Computer Arithmetic (ARITH) Pub Date : 2018-06-01 DOI: 10.1109/ARITH.2018.8464818
Clothilde Jeangoudoux, C. Lauter
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引用次数: 3
FP-ANR: A representation format to handle floating-point cancellation at run-time FP-ANR:在运行时处理浮点取消的表示格式
2018 IEEE 25th Symposium on Computer Arithmetic (ARITH) Pub Date : 2018-06-01 DOI: 10.1109/ARITH.2018.8464784
D. Defour
{"title":"FP-ANR: A representation format to handle floating-point cancellation at run-time","authors":"D. Defour","doi":"10.1109/ARITH.2018.8464784","DOIUrl":"https://doi.org/10.1109/ARITH.2018.8464784","url":null,"abstract":"When dealing with floating-point numbers, there are several sources of error which can drastically reduce the numerical quality of computed results. One of those error sources is the loss of significance or cancellation, which occurs during for example, the subtraction of two nearly equal numbers. In this article, we propose a representation format named Floating-Point Adaptive Noise Reduction (FP-ANR). This format embeds cancellation information directly into the floating-point representation format thanks to a dedicated pattern. With this format, insignificant trailing bits lost during cancellation are removed from every manipulated floating-point number. The immediate consequence is that it increases the numerical confidence of computed values. The proposed representation format corresponds to a simple and efficient implementation of significance arithmetic based and compatible with the IEEE Standard 754 standard.","PeriodicalId":6576,"journal":{"name":"2018 IEEE 25th Symposium on Computer Arithmetic (ARITH)","volume":"1 1","pages":"76-83"},"PeriodicalIF":0.0,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89196510","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: 2
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