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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.

Numerical analysis --- Programming --- 519.6 --- Computer arithmetic --- Digital arithmetic --- Digital computer arithmetic --- Arithmetic --- Computer architecture --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming

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This book constitutes the refereed proceedings of the 5th International Conference on High Performance Embedded Architectures and Compilers, HiPEAC 2010, held in Pisa, Italy, in January 2010. The 23 revised full papers presented together with the abstracts of 2 invited keynote addresses were carefully reviewed and selected from 94 submissions. The papers are organized in topical sections on architectural support for concurrency; compilation and runtime systems; reconfigurable and customized architectures; multicore efficiency, reliability, and power; memory organization and optimization; and programming and analysis of accelerators.

Embedded computer systems --- Compilers (Computer programs) --- Computer architecture --- Computer Science --- Electrical Engineering --- Electrical & Computer Engineering --- Engineering & Applied Sciences --- Computer science. --- Arithmetic and logic units, Computer. --- Input-output equipment (Computers). --- Logic design. --- Microprocessors. --- Computer communication systems. --- Computer programming. --- Computer Science. --- Programming Techniques. --- Arithmetic and Logic Structures. --- Processor Architectures. --- Input/Output and Data Communications. --- Logic Design. --- Computer Communication Networks. --- Computers --- Electronic computer programming --- Electronic data processing --- Electronic digital computers --- Programming (Electronic computers) --- Coding theory --- Communication systems, Computer --- Computer communication systems --- Data networks, Computer --- ECNs (Electronic communication networks) --- Electronic communication networks --- Networks, Computer --- Teleprocessing networks --- Data transmission systems --- Digital communications --- Electronic systems --- Information networks --- Telecommunication --- Cyberinfrastructure --- Network computers --- Minicomputers --- Design, Logic --- Design of logic systems --- Digital electronics --- Electronic circuit design --- Logic circuits --- Machine theory --- Switching theory --- Computer hardware --- Computer I/O equipment --- Electronic analog computers --- Hardware, Computer --- I/O equipment (Computers) --- Input equipment (Computers) --- Input-output equipment (Computers) --- Output equipment (Computers) --- Computer systems --- Arithmetic and logic units, Computer --- Computer arithmetic --- Informatics --- Science --- Programming --- Distributed processing --- Input-output equipment --- Circuits --- Data transmission systems. --- Data communication systems --- Transmission of data --- Information theory --- Telecommunication systems --- Computer arithmetic and logic units. --- Computer architecture. --- Computer input-output equipment. --- Computer networks. --- Architecture, Computer