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Titlebook: Handbook of Floating-Point Arithmetic; Jean-Michel Muller,Nicolas Brunie,Serge Torres Book 2018Latest edition Springer International Publi

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发表于 2025-3-21 18:11:35 | 显示全部楼层 |阅读模式
书目名称Handbook of Floating-Point Arithmetic
编辑Jean-Michel Muller,Nicolas Brunie,Serge Torres
视频video
概述Provides a complete overview of a topic that is widely used to implement real-number arithmetic on modern computers, yet is far from being fully exploited to its full potential.Techniques are illustra
图书封面Titlebook: Handbook of Floating-Point Arithmetic;  Jean-Michel Muller,Nicolas Brunie,Serge Torres Book 2018Latest edition Springer International Publi
描述This handbook is a definitive guide to the effective use of modern floating-point arithmetic, which has considerably evolved, from the frequently inconsistent floating-point number systems of early computing to the recent IEEE 754-2008 standard. Most of computational mathematics depends on floating-point numbers, and understanding their various implementations will allow readers to develop programs specifically tailored for the standard’s technical features. Algorithms for floating-point arithmetic are presented throughout the book and illustrated where possible by example programs which show how these techniques appear in actual coding and design..The volume itself breaks its core topic into four parts: the basic concepts and history of floating-point arithmetic; methods of analyzing floating-point algorithms and optimizing them; implementations of IEEE 754-2008 in hardware and software; and useful extensions to the standard floating-point system, such as interval arithmetic, double- and triple-word arithmetic, operations on complex numbers, and formal verification of floating-point algorithms. This new edition updates chapters to reflect recent changes to programming languages an
出版日期Book 2018Latest edition
关键词Floating-Point Arithmetic; IEEE 754-2008 Standard; Fused Multiply-Add Instruction; Floating-Point Opera
版次2
doihttps://doi.org/10.1007/978-3-319-76526-6
isbn_softcover978-3-030-09513-0
isbn_ebook978-3-319-76526-6
copyrightSpringer International Publishing AG, part of Springer Nature 2018
The information of publication is updating

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发表于 2025-3-21 21:58:16 | 显示全部楼层
https://doi.org/10.1007/978-3-662-41143-8er, obtaining the correct rounding of the result may require considerable design effort and the use of nonarithmetic primitives such as leading-zero counters and shifters. This chapter details the implementation of these algorithms in hardware, using digital logic.
发表于 2025-3-22 01:59:43 | 显示全部楼层
https://doi.org/10.1007/978-3-663-05914-1and accurately is important for many applications. Many very different methods have been used for evaluating them: polynomial or rational approximations, shift-and-add algorithms, table-based methods, etc.
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Thomas Bieger,Nils Bickhoff,Kurt Redingifferent that writing portable yet reasonably efficient numerical software was extremely difficult. For instance, as pointed out in [.], sometimes a programmer had to insert multiplications by 1. 0 to make a program work reliably.
发表于 2025-3-22 15:23:05 | 显示全部楼层
Floating-Point Formats and Environmentifferent that writing portable yet reasonably efficient numerical software was extremely difficult. For instance, as pointed out in [.], sometimes a programmer had to insert multiplications by 1. 0 to make a program work reliably.
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Languages and Compilersng to obtain a standard-compliant behavior from their programs, but it is also useful for understanding how performance may be improved by relaxing standard compliance and also what traps one may fall into.
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