03465pam a2200313 a 4500 elementaryfuncti0000mull CaSfIA 20250723113006.0 m o d cr|||||||||||| 050520t20062006maua ob 001 0 eng 2005048094 0817643729 (alk. paper) (OCoLC)1391402827 DLC DLC YDX BAKER OHX OrLoB-B CaSfIA QA331 .M866 2006 518/.1 22 Muller, J. M. (Jean-Michel), 1961- http://id.loc.gov/authorities/names/n97043073 Elementary functions : algorithms and implementation / Jean-Michel Muller. 2nd ed. Boston : Birkhäuser, [2006], ©2006. 1 online resource (xxii, 265 pages : illustrations) text txt rdacontent unmediated n rdamedia Includes bibliographical references (p. [233]-259) and index. 1. Introduction -- 2. Some basic things about computer arithmetic -- I. Algorithms based on polynomial approximation and/or table lookup, multiple-precision evaluation of functions -- 3. Polynomial or rational approximations -- 4. Table-based methods -- 5. Multiple-precision evaluation of functions -- II. Shift-and-add algorithms -- 6. Introduction to shift-and-add algorithms -- 7. The CORDIC algorithm -- 8. Some other shift-and-add algorithms -- III. Range reduction, final rounding and exceptions -- 9. Range reduction -- 10. Final rounding -- 11. Miscellaneous -- 12. Examples of implementation. "This book provides concepts and background necessary to understand and build algorithms for computing the elementary functions - sine, cosine, tangent, exponentials, and logarithms. The author presents and structures the algorithms, hardware-oriented as well as software-oriented, and also discusses issues related to accurate floating-point implementation. The purpose is not to give "cookbook recipes" that allow one to implement a given function, but rather to provide the reader with tools necessary to build or adapt algorithms for their specific computing environment." "This expanded second edition contains a number of revisions and additions, which incorporate numerous new results obtained during the last few years. New algorithms invented since 1997 - such as Matula's bipartite method, another table-based method due to Ercegovac, Lang, Tisserand, and Muller - as well as new chapters on multiple-precision arithmetic and examples of implementation have been added. In addition, the section on correct rounding of elementary functions has been fully reworked, also in the context of new results. Finally, the introductory presentation of floating-point arithmetic has been expanded, with more emphasis given to the use of the fused multiply-accumulate instruction." "The book is an up-to-date presentation of information needed to understand and accurately use mathematical functions and algorithms in computational work and design. Graduate and advanced undergraduate students, professionals, and researchers in scientific computing, numerical analysis, software engineering, and computer engineering will find the book a useful reference and resource."--BOOK JACKET. Functions Data processing. http://id.loc.gov/authorities/subjects/sh2008121325 Algorithms. http://id.loc.gov/authorities/subjects/sh85003487 off,eng QA331 .M866 2006 https://archive.org/details/elementaryfuncti0000mull Free eBook from the Internet Archive https://openlibrary.org/books/OL8074842M Additional information and access via Open Library elementaryfuncti0000mull ark:/13960/s2760gsxb6z