TY - BOOK ID - 14301674 TI - Handbook of floating-point arithmetic PY - 2009 SN - 081764704X 9786612835100 1282835106 0817647058 PB - Boston : Birkhauser, DB - UniCat KW - Algorithms. KW - Computer arithmetic. KW - Floating-point arithmetic. KW - Floating-point arithmetic KW - Computer arithmetic KW - Engineering & Applied Sciences KW - Mathematics KW - Physical Sciences & Mathematics KW - Computer Science KW - Mathematics - General KW - Computer science KW - Computer mathematics KW - Discrete mathematics KW - Electronic data processing KW - Digital arithmetic KW - Digital computer arithmetic KW - Mathematics. KW - Programming languages (Electronic computers). KW - Computer mathematics. KW - Applied mathematics. KW - Engineering mathematics. KW - Computational Mathematics and Numerical Analysis. KW - Algorithm Analysis and Problem Complexity. KW - Math Applications in Computer Science. KW - Appl.Mathematics/Computational Methods of Engineering. KW - Programming Languages, Compilers, Interpreters. KW - Arithmetic KW - Computer architecture KW - Computer software. KW - Computer science. KW - Mathematical and Computational Engineering. KW - Engineering KW - Engineering analysis KW - Mathematical analysis KW - Informatics KW - Science KW - Algorism KW - Algebra KW - Software, Computer KW - Computer systems KW - Foundations KW - Computer science—Mathematics. KW - Computer languages KW - Computer program languages KW - Computer programming languages KW - Machine language KW - Languages, Artificial UR - https://www.unicat.be/uniCat?func=search&query=sysid:14301674 AB - Floating-point arithmetic is by far the most widely used way of implementing real-number arithmetic on modern computers. Although the basic principles of floating-point arithmetic can be explained in a short amount of time, making such an arithmetic reliable and portable, yet fast, is a very difficult task. From the 1960s to the early 1980s, many different arithmetics were developed, but their implementation varied widely from one machine to another, making it difficult for nonexperts to design, learn, and use the required algorithms. As a result, floating-point arithmetic is far from being exploited to its full potential. This handbook aims to provide a complete overview of modern floating-point arithmetic, including a detailed treatment of the newly revised (IEEE 754-2008) standard for floating-point arithmetic. Presented throughout are algorithms for implementing floating-point arithmetic as well as algorithms that use floating-point arithmetic. So that the techniques presented can be put directly into practice in actual coding or design, they are illustrated, whenever possible, by a corresponding program. Key topics and features include: * Presentation of the history and basic concepts of floating-point arithmetic and various aspects of the past and current standards * Development of smart and nontrivial algorithms, and algorithmic possibilities induced by the availability of a fused multiply-add (fma) instruction, e.g., correctly rounded software division and square roots * Implementation of floating-point arithmetic, either in software—on an integer processor—or hardware, and a discussion of issues related to compilers and languages * Coverage of several recent advances related to elementary functions: correct rounding of these functions and computation of very accurate approximations under constraints * Extensions of floating-point arithmetic such as certification, verification, and big precision Handbook of Floating-Point Arithmetic is designed for programmers of numerical applications, compiler designers, programmers of floating-point algorithms, designers of arithmetic operators, and more generally, students and researchers in numerical analysis who wish to better understand a tool used in their daily work and research. . ER -