Handbook of Floating-Point Arithmetic [Hardcover]

Jean-Michel Muller (Author), Nicolas Brisebarre (Author), Florent de Dinechin (Author), Claude-Pierre Jeannerod (Author), Vincent Lefèvre (Author), Guillaume Melquiond (Author)

Book Description

ISBN-10: 081764704X | ISBN-13: 978-0817647049 | Publication Date: December 1, 2009 | Edition: 1st Edition.

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.

Editorial Reviews

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)

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.  

Product Details

• Hardcover: 595 pages
• Publisher: Birkhäuser Boston; 1st Edition. edition (December 1, 2009)
• Language: English
• ISBN-10: 081764704X
• ISBN-13: 978-0817647049
• Product Dimensions: 10.4 x 7.2 x 1.6 inches
• Shipping Weight: 2.7 pounds (View shipping rates and policies)
• Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #515,765 in Books (See Top 100 in Books)

Customer Reviews

Most Helpful Customer Reviews

1 of 3 people found the following review helpful:

5.0 out of 5 stars an encylopedia on floating-point arithmetic, September 24, 2010

By 

jimbrake - See all my reviews

Amazon Verified Purchase

This review is from: Handbook of Floating-Point Arithmetic (Hardcover)

If the accuracy of the book matches it's scope and content, it is likely to be the standard reference on the subject of floating-point.

The table of contents does not indicate the full extent of the book. Written much in the Knuth style and contains similar information density.