{"title":"可变精度浮点运算","authors":"J. Pinkert","doi":"10.1145/800181.810341","DOIUrl":null,"url":null,"abstract":"With most FORTRAN implementations, each variable V in a user's program is characterized at compile time as V<subscrpt>(B, M, N)</subscrpt> to specify that V can store exactly only values of the form ±b<subscrpt>1</subscrpt>b<subscrpt>2</subscrpt>... b<subscrpt>m</subscrpt> x B<subscrpt>±n</subscrpt>, where the b<subscrpt>j</subscrpt> are B-digits, m ≤ M, and n ≤ N. One typical triple is (16, 6, 64). A system has been developed in which (10<supscrpt>8</supscrpt>, 10<supscrpt>3</supscrpt>, 10<supscrpt>8</supscrpt>) is readily attainable, and M can be changed during execution. To achieve efficiency and portability, the implementation makes extensive use of the SAC-1 system developed by George Collins. This paper describes the routines comprising the system, and discusses a sample application, Theoretical and empirical computing times are also presented.","PeriodicalId":447373,"journal":{"name":"ACM '75","volume":"52 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"SAC-1 variable precision floating point arithmetic\",\"authors\":\"J. Pinkert\",\"doi\":\"10.1145/800181.810341\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"With most FORTRAN implementations, each variable V in a user's program is characterized at compile time as V<subscrpt>(B, M, N)</subscrpt> to specify that V can store exactly only values of the form ±b<subscrpt>1</subscrpt>b<subscrpt>2</subscrpt>... b<subscrpt>m</subscrpt> x B<subscrpt>±n</subscrpt>, where the b<subscrpt>j</subscrpt> are B-digits, m ≤ M, and n ≤ N. One typical triple is (16, 6, 64). A system has been developed in which (10<supscrpt>8</supscrpt>, 10<supscrpt>3</supscrpt>, 10<supscrpt>8</supscrpt>) is readily attainable, and M can be changed during execution. To achieve efficiency and portability, the implementation makes extensive use of the SAC-1 system developed by George Collins. This paper describes the routines comprising the system, and discusses a sample application, Theoretical and empirical computing times are also presented.\",\"PeriodicalId\":447373,\"journal\":{\"name\":\"ACM '75\",\"volume\":\"52 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACM '75\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/800181.810341\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACM '75","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/800181.810341","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 6
摘要
对于大多数FORTRAN实现，用户程序中的每个变量V在编译时被描述为V(B, M, N)，以指定V只能存储形式为±b1b2…的值。bm × B±n，其中bj为B位数，m≤m, n≤n。一个典型的三元组是(16,6,64)。已经开发了一个系统，其中(108,103,108)很容易获得，并且M可以在执行过程中改变。为了实现效率和可移植性，该实现广泛使用了George Collins开发的SAC-1系统。本文介绍了该系统的组成程序，并讨论了一个实例应用，给出了理论计算时间和经验计算时间。
SAC-1 variable precision floating point arithmetic
With most FORTRAN implementations, each variable V in a user's program is characterized at compile time as V(B, M, N) to specify that V can store exactly only values of the form ±b1b2... bm x B±n, where the bj are B-digits, m ≤ M, and n ≤ N. One typical triple is (16, 6, 64). A system has been developed in which (108, 103, 108) is readily attainable, and M can be changed during execution. To achieve efficiency and portability, the implementation makes extensive use of the SAC-1 system developed by George Collins. This paper describes the routines comprising the system, and discusses a sample application, Theoretical and empirical computing times are also presented.
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