Thomas W. Lynch, Ashraf Ahmed, M. Schulte, T. K. Callaway, Robert Tisdale
{"title":"K5超越函数","authors":"Thomas W. Lynch, Ashraf Ahmed, M. Schulte, T. K. Callaway, Robert Tisdale","doi":"10.1109/ARITH.1995.465368","DOIUrl":null,"url":null,"abstract":"This paper describes the development of the transcendental instructions for the K5, AMD's recently completed x86 compatible superscalar microprocessor. A multi-level development cycle, with testing between levels, facilitated the early detection of errors and limited their effect on the design schedule. The algorithms for the transcendental functions use table-driven reductions followed by polynomial approximations. Multiprecision arithmetic operations are used when necessary to maintain sufficient accuracy and to ensure that the transcendental functions have a maximum error of one unit in the last place.<<ETX>>","PeriodicalId":332829,"journal":{"name":"Proceedings of the 12th Symposium on Computer Arithmetic","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1995-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"16","resultStr":"{\"title\":\"The K5 transcendental functions\",\"authors\":\"Thomas W. Lynch, Ashraf Ahmed, M. Schulte, T. K. Callaway, Robert Tisdale\",\"doi\":\"10.1109/ARITH.1995.465368\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper describes the development of the transcendental instructions for the K5, AMD's recently completed x86 compatible superscalar microprocessor. A multi-level development cycle, with testing between levels, facilitated the early detection of errors and limited their effect on the design schedule. The algorithms for the transcendental functions use table-driven reductions followed by polynomial approximations. Multiprecision arithmetic operations are used when necessary to maintain sufficient accuracy and to ensure that the transcendental functions have a maximum error of one unit in the last place.<<ETX>>\",\"PeriodicalId\":332829,\"journal\":{\"name\":\"Proceedings of the 12th Symposium on Computer Arithmetic\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1995-07-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"16\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 12th Symposium on Computer Arithmetic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ARITH.1995.465368\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 12th Symposium on Computer Arithmetic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ARITH.1995.465368","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This paper describes the development of the transcendental instructions for the K5, AMD's recently completed x86 compatible superscalar microprocessor. A multi-level development cycle, with testing between levels, facilitated the early detection of errors and limited their effect on the design schedule. The algorithms for the transcendental functions use table-driven reductions followed by polynomial approximations. Multiprecision arithmetic operations are used when necessary to maintain sufficient accuracy and to ensure that the transcendental functions have a maximum error of one unit in the last place.<>