{"title":"Correctly Rounded Arbitrary-Precision Floating-Point Summation","authors":"V. Lefèvre","doi":"10.1109/ARITH.2016.9","DOIUrl":null,"url":null,"abstract":"We present a fast algorithm together with its low-level implementation of correctly rounded arbitrary-precision floating-point summation. The arithmetic is the one used by the GNU MPFR library: radix 2, no subnormals, each variable (each input and the output) has its own precision. We also describe how the implementation is tested.","PeriodicalId":145448,"journal":{"name":"2016 IEEE 23nd Symposium on Computer Arithmetic (ARITH)","volume":"6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 IEEE 23nd Symposium on Computer Arithmetic (ARITH)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ARITH.2016.9","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 present a fast algorithm together with its low-level implementation of correctly rounded arbitrary-precision floating-point summation. The arithmetic is the one used by the GNU MPFR library: radix 2, no subnormals, each variable (each input and the output) has its own precision. We also describe how the implementation is tested.
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