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Handbook of Floating-Point Arithmetic Hardcover – 1 Dec 2009


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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.
 

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Amazon.com: 5.0 out of 5 stars 3 reviews
5.0 out of 5 stars Probably the most complete book on FP math ever written. 7 Feb. 2015
By Ben Woodard - Published on Amazon.com
Format: Kindle Edition Verified Purchase
This book has basically everything you need to know about FP math in one place. It is not targeted at a programmer though, it is more targeted at a mathematician seeking to understand floating point math.
5.0 out of 5 stars Five Stars 25 May 2015
By Paul D Anderson - Published on Amazon.com
Format: Hardcover Verified Purchase
Excellent coverage of the ins-and-outs of floating point computations.
5 of 10 people found the following review helpful
5.0 out of 5 stars an encylopedia on floating-point arithmetic 24 Sept. 2010
By jimbrake - Published on Amazon.com
Format: Hardcover Verified Purchase
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.
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