{"title":"带矩形乘法器的x86微处理器的浮点除法算法","authors":"M. Schulte, Dimitri Tan, C. Lemonds","doi":"10.1109/ICCD.2007.4601917","DOIUrl":null,"url":null,"abstract":"Floating-point division is an important operation in scientific computing and multimedia applications. This paper presents and compares two division algorithms for an times86 microprocessor, which utilizes a rectangular multiplier that is optimized for multimedia applications. The proposed division algorithms are based on Goldschmidt's division algorithm and provide correctly rounded results for IEEE 754 single, double, and extended precision floating-point numbers. Compared to a previous Goldschmidt division algorithm, the fastest proposed algorithm requires 25% to 37% fewer cycles, while utilizing a multiplier that is roughly 2.5 times smaller.","PeriodicalId":6306,"journal":{"name":"2007 25th International Conference on Computer Design","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2007-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"15","resultStr":"{\"title\":\"Floating-point division algorithms for an x86 microprocessor with a rectangular multiplier\",\"authors\":\"M. Schulte, Dimitri Tan, C. Lemonds\",\"doi\":\"10.1109/ICCD.2007.4601917\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Floating-point division is an important operation in scientific computing and multimedia applications. This paper presents and compares two division algorithms for an times86 microprocessor, which utilizes a rectangular multiplier that is optimized for multimedia applications. The proposed division algorithms are based on Goldschmidt's division algorithm and provide correctly rounded results for IEEE 754 single, double, and extended precision floating-point numbers. Compared to a previous Goldschmidt division algorithm, the fastest proposed algorithm requires 25% to 37% fewer cycles, while utilizing a multiplier that is roughly 2.5 times smaller.\",\"PeriodicalId\":6306,\"journal\":{\"name\":\"2007 25th International Conference on Computer Design\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"15\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2007 25th International Conference on Computer Design\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCD.2007.4601917\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 25th International Conference on Computer Design","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCD.2007.4601917","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Floating-point division algorithms for an x86 microprocessor with a rectangular multiplier
Floating-point division is an important operation in scientific computing and multimedia applications. This paper presents and compares two division algorithms for an times86 microprocessor, which utilizes a rectangular multiplier that is optimized for multimedia applications. The proposed division algorithms are based on Goldschmidt's division algorithm and provide correctly rounded results for IEEE 754 single, double, and extended precision floating-point numbers. Compared to a previous Goldschmidt division algorithm, the fastest proposed algorithm requires 25% to 37% fewer cycles, while utilizing a multiplier that is roughly 2.5 times smaller.
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