{"title":"正确舍入任意精度浮点和","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":"{\"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}","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}
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.