{"title":"有理数的残数算术","authors":"R. T. Gregory","doi":"10.1109/ARITH.1981.6159275","DOIUrl":null,"url":null,"abstract":"A method is described for doing residue arithmetic when the operands are rational numbers. A rational operand a/b is mapped onto the integer |a·b<sup>−1</sup>|<inf>p</inf> and the arithmetic is performed in GF(p). A method is given for taking an integer result and finding its rational equivalent (the one which corresponds to the correct rational result).","PeriodicalId":169426,"journal":{"name":"1981 IEEE 5th Symposium on Computer Arithmetic (ARITH)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1981-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Residue arithmetic with rational operands\",\"authors\":\"R. T. Gregory\",\"doi\":\"10.1109/ARITH.1981.6159275\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A method is described for doing residue arithmetic when the operands are rational numbers. A rational operand a/b is mapped onto the integer |a·b<sup>−1</sup>|<inf>p</inf> and the arithmetic is performed in GF(p). A method is given for taking an integer result and finding its rational equivalent (the one which corresponds to the correct rational result).\",\"PeriodicalId\":169426,\"journal\":{\"name\":\"1981 IEEE 5th Symposium on Computer Arithmetic (ARITH)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1981-05-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"1981 IEEE 5th Symposium on Computer Arithmetic (ARITH)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ARITH.1981.6159275\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"1981 IEEE 5th Symposium on Computer Arithmetic (ARITH)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ARITH.1981.6159275","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A method is described for doing residue arithmetic when the operands are rational numbers. A rational operand a/b is mapped onto the integer |a·b−1|p and the arithmetic is performed in GF(p). A method is given for taking an integer result and finding its rational equivalent (the one which corresponds to the correct rational result).