{"title":"基于泰勒级数展开的浮点除法算法述评","authors":"Jianglin Wei, A. Kuwana, Haruo Kobayashi, K. Kubo","doi":"10.1109/APCCAS50809.2020.9301675","DOIUrl":null,"url":null,"abstract":"This paper investigates floating-point division algorithms based on Taylor-series expansion. Taylor-series expansions of 1/x are examined for several center points with their convergence ranges, and show the Taylor-series expansion division algorithm trade-offs among division accuracy, numbers of multiplications/additions/subtractions and LUT sizes; the designer can choose the optimal algorithm for his digital division, and build its conceptual architecture design with the contents described here.","PeriodicalId":127075,"journal":{"name":"2020 IEEE Asia Pacific Conference on Circuits and Systems (APCCAS)","volume":"33 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Revisit to Floating-Point Division Algorithm Based on Taylor-Series Expansion\",\"authors\":\"Jianglin Wei, A. Kuwana, Haruo Kobayashi, K. Kubo\",\"doi\":\"10.1109/APCCAS50809.2020.9301675\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper investigates floating-point division algorithms based on Taylor-series expansion. Taylor-series expansions of 1/x are examined for several center points with their convergence ranges, and show the Taylor-series expansion division algorithm trade-offs among division accuracy, numbers of multiplications/additions/subtractions and LUT sizes; the designer can choose the optimal algorithm for his digital division, and build its conceptual architecture design with the contents described here.\",\"PeriodicalId\":127075,\"journal\":{\"name\":\"2020 IEEE Asia Pacific Conference on Circuits and Systems (APCCAS)\",\"volume\":\"33 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-12-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 IEEE Asia Pacific Conference on Circuits and Systems (APCCAS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/APCCAS50809.2020.9301675\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 IEEE Asia Pacific Conference on Circuits and Systems (APCCAS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/APCCAS50809.2020.9301675","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Revisit to Floating-Point Division Algorithm Based on Taylor-Series Expansion
This paper investigates floating-point division algorithms based on Taylor-series expansion. Taylor-series expansions of 1/x are examined for several center points with their convergence ranges, and show the Taylor-series expansion division algorithm trade-offs among division accuracy, numbers of multiplications/additions/subtractions and LUT sizes; the designer can choose the optimal algorithm for his digital division, and build its conceptual architecture design with the contents described here.