{"title":"Single precision reciprocals by multipartite table lookup","authors":"Peter Kornerup, D. Matula","doi":"10.1109/ARITH.2005.37","DOIUrl":null,"url":null,"abstract":"We develop the foundations for confirming monotonicity of a multi-term reciprocal function approximation. We introduce the concept of operand recoding to improve the accuracy of multipartite approximation. The results are applied to provide a proposed four-partite reciprocal implementation with total table size /spl sim/27 Kbytes, that yields an IEEE standard, single precision sized format (24 bit) reciprocal instruction, that is a one-ulp monotonic reciprocal.","PeriodicalId":194902,"journal":{"name":"17th IEEE Symposium on Computer Arithmetic (ARITH'05)","volume":"90 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2005-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"17th IEEE Symposium on Computer Arithmetic (ARITH'05)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ARITH.2005.37","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 6
Abstract
We develop the foundations for confirming monotonicity of a multi-term reciprocal function approximation. We introduce the concept of operand recoding to improve the accuracy of multipartite approximation. The results are applied to provide a proposed four-partite reciprocal implementation with total table size /spl sim/27 Kbytes, that yields an IEEE standard, single precision sized format (24 bit) reciprocal instruction, that is a one-ulp monotonic reciprocal.
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