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Titlebook: Elementary Functions; Algorithms and Imple Jean-Michel Muller Textbook 2016Latest edition Springer Science+Business Media New York 2016 Ele

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发表于 2025-3-21 18:47:52 | 显示全部楼层 |阅读模式
书目名称Elementary Functions
副标题Algorithms and Imple
编辑Jean-Michel Muller
视频video
概述Presents the concepts and tools necessary to understand, build, and implement algorithms for computing elementary functions.Updated and expanded to incorporate the most recent advances in the field, n
图书封面Titlebook: Elementary Functions; Algorithms and Imple Jean-Michel Muller Textbook 2016Latest edition Springer Science+Business Media New York 2016 Ele
描述This textbook presents the concepts and tools necessary to understand, build, and implement algorithms for computing elementary functions (e.g., logarithms, exponentials, and the trigonometric functions).  Both hardware- and software-oriented algorithms are included, along with issues related to accurate floating-point implementation.  This third edition has been updated and expanded to incorporate the most recent advances in the field, new elementary function algorithms, and function software..After a preliminary chapter that briefly introduces some fundamental concepts of computer arithmetic, such as floating-point arithmetic and redundant number systems, the text is divided into three main parts.  Part I considers the computation of elementary functions using algorithms based on polynomial or rational approximations and using table-based methods;  the final chapter in this section deals with basic principles of multiple-precision arithmetic.  Part II is devoted to a presentation of “shift-and-add” algorithms (hardware-oriented algorithms that use additions and shifts only).  Issues related to accuracy, including range reduction, preservation of monotonicity, and correct rounding
出版日期Textbook 2016Latest edition
关键词Elementary Functions; Computer Arithmetic; Floating-Point Arithmetic; Polynomial Approximation; Rational
版次3
doihttps://doi.org/10.1007/978-1-4899-7983-4
isbn_ebook978-1-4899-7983-4
copyrightSpringer Science+Business Media New York 2016
The information of publication is updating

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发表于 2025-3-21 21:55:11 | 显示全部楼层
nded to incorporate the most recent advances in the field, nThis textbook presents the concepts and tools necessary to understand, build, and implement algorithms for computing elementary functions (e.g., logarithms, exponentials, and the trigonometric functions).  Both hardware- and software-orient
发表于 2025-3-22 02:06:09 | 显示全部楼层
https://doi.org/10.1007/978-90-481-8792-8nction as well as .. We do not deal with the basic arithmetic functions in this book). Theoretically, the elementary functions are not much harder to compute than quotients: it was shown by Alt [5] that these functions are equivalent to division with respect to Boolean circuit depth.
发表于 2025-3-22 06:08:36 | 显示全部楼层
https://doi.org/10.1057/9781137485526he CORDIC technique was born out of necessity, the incentive being the replacement of the analog navigation computer of the B-58 bomber aircraft by a digital computer. The main challenge was the real-time determination of present position on a spherical earth.
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The CORDIC Algorithmhe CORDIC technique was born out of necessity, the incentive being the replacement of the analog navigation computer of the B-58 bomber aircraft by a digital computer. The main challenge was the real-time determination of present position on a spherical earth.
发表于 2025-3-22 19:11:36 | 显示全部楼层
Jean-Michel MullerPresents the concepts and tools necessary to understand, build, and implement algorithms for computing elementary functions.Updated and expanded to incorporate the most recent advances in the field, n
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发表于 2025-3-23 07:44:11 | 显示全部楼层
J. Eric Cooper,Michael J. Deckern when this chapter is written and when you read it. Also, the methods used are not always publicized. Some of the implementations presented here are rather old. My purpose, here, is to show, through some examples, how the various techniques described in this book can be used.
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