Handbook of Floating-Point Arithmetic

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9780817647049: Handbook of Floating-Point Arithmetic

Floating-point arithmetic is the most widely used way of implementing real-number arithmetic on modern computers. However, making such an arithmetic reliable and portable, yet fast, is a very difficult task. 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. 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.

The handbook 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.

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From the Back Cover:

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.
 

Review:

From the reviews:

“This handbook aims to provide a complete overview of modern floating-point arithmetic, including a detailed treatment of the newly revised IEEE 751-2008 standard for floating-point arithmetic. ... This book is useful to programmers, compiler designers and students and researchers in numerical analysis.”­­­ (T. C. Mohan, Zentralblatt MATH, Vol. 1197, 2010)

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Jean-Michel Muller, Nicolas Brisebarre, Florent de Dinechin, Claude-Pierre Jeannerod, Vincent Lefèvre
Editore: Birkhäuser (2009)
ISBN 10: 081764704X ISBN 13: 9780817647049
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Jean-Michel Muller; Nicolas Brisebarre; Florent de Dinechin; Claude-Pierre Jeannerod; Vincent Lefèvre; Guillaume Melquiond; Nathalie Revol; Damien Stehlé; Serge Torres
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Descrizione libro Birkhäuser, 2009. Hardcover. Condizione libro: New. book. Codice libro della libreria M081764704X

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Jean-Michel Muller, Nicolas Brisebarre, Florent de Dinechin, Claude-Pierre Jeannerod, Vincent Lefèvre, Guillaume Melquiond, Nathalie Revol, Damien Stehlé, Serge Torres
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Descrizione libro Birkhäuser Boston 2009-12-01, Boston, Mass., 2009. hardback. Condizione libro: New. Codice libro della libreria 9780817647049

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Jean-Michel Muller, Nicolas Brisebarre, Florent de Dinechin
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Descrizione libro BIRKHAUSER BOSTON INC, United States, 2009. Hardback. Condizione libro: New. Language: English . Brand New Book. Floating-point arithmetic is the most widely used way of implementing real-number arithmetic on modern computers. However, making such an arithmetic reliable and portable, yet fast, is a very difficult task. 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. 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. The handbook 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. Codice libro della libreria LIB9780817647049

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Jean-Michel Muller, Nicolas Brisebarre, Florent de Dinechin
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Descrizione libro BIRKHAUSER BOSTON INC, United States, 2009. Hardback. Condizione libro: New. Language: English . Brand New Book. Floating-point arithmetic is the most widely used way of implementing real-number arithmetic on modern computers. However, making such an arithmetic reliable and portable, yet fast, is a very difficult task. 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. 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. The handbook 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. Codice libro della libreria LIB9780817647049

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Muller, Jean-Michel, Brisebarre, Nicolas
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Descrizione libro Birkhäuser, 2017. Hardcover. Condizione libro: New. Never used! This item is printed on demand. Codice libro della libreria P11081764704X

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Descrizione libro Birkhauser Boston Inc, 2008. HRD. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria IP-9780817647049

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JEAN-MICHEL MULLER
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Descrizione libro BirkhÇÏuser, 2009. Hardback. Condizione libro: NEW. 9780817647049 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Codice libro della libreria HTANDREE0285937

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Descrizione libro Condizione libro: New. Publisher/Verlag: Springer, Basel | 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 a presentation of the history and basic concepts of floating-point arithmetic; a development of smart and nontrivial algorithms, and algorithmic possibilities induced by the availability of a fused multiply-add (fma) instruction; 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; and extensions of floating-point arithmetic such as certification, verification, and 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. | From the contents:List of FiguresList of TablesPrefacePart I. Introduction, Basic Definitions, and Standards. Introduction.- Definitions and Basic Notions.- Floating-Point & Formats and EnvironmentPart II. Cleverly Using Floating-Point Arithmetic. Basic Properties and Algorithms.- The Fused Multiply-Add Instructions.- Enhanced Floating-Point Sums, Dot Products, and Polynomial Values.- Languages and CompilersPart III. Implementing Floating-Point Operators. Algorithms for the Five Basic Operations.- Hardware Implementation of Floating-Point Arithmetic.- Software Implementation of Floating-Point ArithmeticPart IV. Elementary Functions. Evaluating Floating-Point Elementary Functions.- Solving the Table Maker's DilemmaPart V. Extensions. Formalisms for Certifying Floating-Point Algorithms.- Extending the PrecisionPart VI. Perspectives and Appendix. Conclusion and Perspectives.- Appendix: Number Theory Tools for Floating-Point Arithmetic.- Bibliography.- Index. | Format: Hardback | Language/Sprache: english | 1277 gr | 572 pp. Codice libro della libreria K9780817647049

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