{"title":"A Prescale-Lookup-Postscale Additive Procedure for Obtaining a Single Precision Ulp Accurate Reciprocal","authors":"D. Matula, Mihai T. Panu","doi":"10.1109/ARITH.2011.31","DOIUrl":null,"url":null,"abstract":"We investigate the utilization of additive prescaling for reducing the input range for determining a divisor reciprocal approximation. In particular, we demonstrate that a single precision (24-bit) ulp accurate monotonic approximate reciprocal operation can be obtained employing three back-to-back three term additions and bipartite table lookup with total table size less than 6 Kbytes.","PeriodicalId":272151,"journal":{"name":"2011 IEEE 20th Symposium on Computer Arithmetic","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 IEEE 20th Symposium on Computer Arithmetic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ARITH.2011.31","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
We investigate the utilization of additive prescaling for reducing the input range for determining a divisor reciprocal approximation. In particular, we demonstrate that a single precision (24-bit) ulp accurate monotonic approximate reciprocal operation can be obtained employing three back-to-back three term additions and bipartite table lookup with total table size less than 6 Kbytes.
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