{"title":"The slide number format","authors":"Ignaz Kohlbecker","doi":"10.1145/3190339.3190342","DOIUrl":null,"url":null,"abstract":"The Slide number format divides the real number line into connected sets. Compared to the unum format [3], there is no ubit, no infinity, and values are placed on a logarithmic scale with base 10. Formal definitions for Slides and intervals composed of Slide pairs are provided. The relative error is compared with that of single precision floats. The performance of conversions to and from human readable form is measured.","PeriodicalId":402566,"journal":{"name":"Proceedings of the Conference for Next Generation Arithmetic","volume":"12 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Conference for Next Generation Arithmetic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3190339.3190342","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The Slide number format divides the real number line into connected sets. Compared to the unum format [3], there is no ubit, no infinity, and values are placed on a logarithmic scale with base 10. Formal definitions for Slides and intervals composed of Slide pairs are provided. The relative error is compared with that of single precision floats. The performance of conversions to and from human readable form is measured.
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