Handbook Of Floating Point Arithmetic

Author : Jean-Michel Muller,Nicolas Brisebarre,Florent de Dinechin,Claude-Pierre Jeannerod,Vincent Lefèvre,Guillaume Melquiond,Nathalie Revol,Damien Stehlé,Serge Torres
Publisher : Springer Science & Business Media
Page : 579 pages
File Size : 48,7 Mb
Release : 2009-11-11
Category : Mathematics
ISBN : 9780817647056

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Handbook of Floating-Point Arithmetic by Jean-Michel Muller,Nicolas Brisebarre,Florent de Dinechin,Claude-Pierre Jeannerod,Vincent Lefèvre,Guillaume Melquiond,Nathalie Revol,Damien Stehlé,Serge Torres Pdf

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.

Author : Anonim
Publisher : Unknown
Page : 572 pages
File Size : 41,9 Mb
Release : 2010
Category : Computer arithmetic
ISBN : OCLC:707457314

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Handbook of Floating-point Arithmetic by Anonim Pdf

Author : Nelson H.F. Beebe
Publisher : Springer
Page : 1145 pages
File Size : 51,9 Mb
Release : 2017-08-20
Category : Computers
ISBN : 9783319641102

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The Mathematical-Function Computation Handbook by Nelson H.F. Beebe Pdf

This highly comprehensive handbook provides a substantial advance in the computation of elementary and special functions of mathematics, extending the function coverage of major programming languages well beyond their international standards, including full support for decimal floating-point arithmetic. Written with clarity and focusing on the C language, the work pays extensive attention to little-understood aspects of floating-point and integer arithmetic, and to software portability, as well as to important historical architectures. It extends support to a future 256-bit, floating-point format offering 70 decimal digits of precision. Select Topics and Features: references an exceptionally useful, author-maintained MathCW website, containing source code for the book’s software, compiled libraries for numerous systems, pre-built C compilers, and other related materials; offers a unique approach to covering mathematical-function computation using decimal arithmetic; provides extremely versatile appendices for interfaces to numerous other languages: Ada, C#, C++, Fortran, Java, and Pascal; presupposes only basic familiarity with computer programming in a common language, as well as early level algebra; supplies a library that readily adapts for existing scripting languages, with minimal effort; supports both binary and decimal arithmetic, in up to 10 different floating-point formats; covers a significant portion (with highly accurate implementations) of the U.S National Institute of Standards and Technology’s 10-year project to codify mathematical functions. This highly practical text/reference is an invaluable tool for advanced undergraduates, recording many lessons of the intermingled history of computer hardw are and software, numerical algorithms, and mathematics. In addition, professional numerical analysts and others will find the handbook of real interest and utility because it builds on research by the mathematical software community over the last four decades.

Author : Michael L. Overton
Publisher : SIAM
Page : 105 pages
File Size : 55,7 Mb
Release : 2001-01-01
Category : Computers
ISBN : 9780898715712

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Numerical Computing with IEEE Floating Point Arithmetic by Michael L. Overton Pdf

Mathematics of Computing -- Numerical Analysis.

Author : Peter Kornerup,David W. Matula
Publisher : Cambridge University Press
Page : 717 pages
File Size : 46,7 Mb
Release : 2010-09-30
Category : Mathematics
ISBN : 9781139643559

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Finite Precision Number Systems and Arithmetic by Peter Kornerup,David W. Matula Pdf

Fundamental arithmetic operations support virtually all of the engineering, scientific, and financial computations required for practical applications, from cryptography, to financial planning, to rocket science. This comprehensive reference provides researchers with the thorough understanding of number representations that is a necessary foundation for designing efficient arithmetic algorithms. Using the elementary foundations of radix number systems as a basis for arithmetic, the authors develop and compare alternative algorithms for the fundamental operations of addition, multiplication, division, and square root with precisely defined roundings. Various finite precision number systems are investigated, with the focus on comparative analysis of practically efficient algorithms for closed arithmetic operations over these systems. Each chapter begins with an introduction to its contents and ends with bibliographic notes and an extensive bibliography. The book may also be used for graduate teaching: problems and exercises are scattered throughout the text and a solutions manual is available for instructors.

Author : Jean-Michel Muller
Publisher : Birkhäuser
Page : 283 pages
File Size : 47,6 Mb
Release : 2016-11-16
Category : Computers
ISBN : 9781489979834

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Elementary Functions by Jean-Michel Muller Pdf

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, as well as some examples of implementation are explored in Part III. Numerous examples of command lines and full programs are provided throughout for various software packages, including Maple, Sollya, and Gappa. New to this edition are an in-depth overview of the IEEE-754-2008 standard for floating-point arithmetic; a section on using double- and triple-word numbers; a presentation of new tools for designing accurate function software; and a section on the Toom-Cook family of multiplication algorithms. The techniques presented in this book will be of interest to implementers of elementary function libraries or circuits and programmers of numerical applications. Additionally, graduate and advanced undergraduate students, professionals, and researchers in scientific computing, numerical analysis, software engineering, and computer engineering will find this a useful reference and resource. PRAISE FOR PREVIOUS EDITIONS “[T]his book seems like an essential reference for the experts (which I'm not). More importantly, this is an interesting book for the curious (which I am). In this case, you'll probably learn many interesting things from this book. If you teach numerical analysis or approximation theory, then this book will give you some good examples to discuss in class." — MAA Reviews (Review of Second Edition) "The rich content of ideas sketched or presented in some detail in this book is supplemented by a list of over three hundred references, most of them of 1980 or more recent. The book also contains some relevant typical programs." — Zentralblatt MATH (Review of Second Edition) “I think that the book will be very valuable to students both in numerical analysis and in computer science. I found [it to be] well written and containing much interesting material, most of the time disseminated in specialized papers published in specialized journals difficult to find." — Numerical Algorithms (Review of First Edition)

Author : Michael L. Overton
Publisher : SIAM
Page : 120 pages
File Size : 43,6 Mb
Release : 2001-01-01
Category : Computers
ISBN : 0898718074

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Numerical computing with IEEE floating point arithmetic by Michael L. Overton Pdf

This title provides an easily accessible yet detailed discussion of IEEE Std 754-1985, arguably the most important standard in the computer industry. The result of an unprecedented cooperation between academic computer scientists and the cutting edge of industry, it is supported by virtually every modern computer. Other topics include the floating point architecture of the Intel microprocessors and a discussion of programming language support for the standard.

Author : Gert-Martin Greuel,Thorsten Koch,Peter Paule,Andrew Sommese
Publisher : Springer
Page : 532 pages
File Size : 55,6 Mb
Release : 2016-07-05
Category : Computers
ISBN : 9783319424323

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Mathematical Software – ICMS 2016 by Gert-Martin Greuel,Thorsten Koch,Peter Paule,Andrew Sommese Pdf

This book constitutes the proceedings of the 5th International Conference on Mathematical Software, ICMS 2015, held in Berlin, Germany, in July 2016. The 68 papers included in this volume were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections named: univalent foundations and proof assistants; software for mathematical reasoning and applications; algebraic and toric geometry; algebraic geometry in applications; software of polynomial systems; software for numerically solving polynomial systems; high-precision arithmetic, effective analysis, and special functions; mathematical optimization; interactive operation to scientific artwork and mathematical reasoning; information services for mathematics: software, services, models, and data; semDML: towards a semantic layer of a world digital mathematical library; miscellanea.

Author : Christopher Kormanyos
Publisher : Springer
Page : 426 pages
File Size : 42,7 Mb
Release : 2018-05-02
Category : Computers
ISBN : 9783662567180

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Real-Time C++ by Christopher Kormanyos Pdf

With this book, Christopher Kormanyos delivers a highly practical guide to programming real-time embedded microcontroller systems in C++. It is divided into three parts plus several appendices. Part I provides a foundation for real-time C++ by covering language technologies, including object-oriented methods, template programming and optimization. Next, part II presents detailed descriptions of a variety of C++ components that are widely used in microcontroller programming. It details some of C++’s most powerful language elements, such as class types, templates and the STL, to develop components for microcontroller register access, low-level drivers, custom memory management, embedded containers, multitasking, etc. Finally, part III describes mathematical methods and generic utilities that can be employed to solve recurring problems in real-time C++. The appendices include a brief C++ language tutorial, information on the real-time C++ development environment and instructions for building GNU GCC cross-compilers and a microcontroller circuit. For this third edition, the most recent specification of C++17 in ISO/IEC 14882:2017 is used throughout the text. Several sections on new C++17 functionality have been added, and various others reworked to reflect changes in the standard. Also several new sample projects are introduced and existing ones extended, and various user suggestions have been incorporated. To facilitate portability, no libraries other than those specified in the language standard itself are used. Efficiency is always in focus and numerous examples are backed up with real-time performance measurements and size analyses that quantify the true costs of the code down to the very last byte and microsecond. The target audience of this book mainly consists of students and professionals interested in real-time C++. Readers should be familiar with C or another programming language and will benefit most if they have had some previous experience with microcontroller electronics and the performance and size issues prevalent in embedded systems programming.

Author : Hamid R. Arabnia,Leonidas Deligiannidis,Fernando G. Tinetti,Quoc-Nam Tran
Publisher : Springer Nature
Page : 1004 pages
File Size : 41,9 Mb
Release : 2021-09-09
Category : Technology & Engineering
ISBN : 9783030708733

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Advances in Software Engineering, Education, and e-Learning by Hamid R. Arabnia,Leonidas Deligiannidis,Fernando G. Tinetti,Quoc-Nam Tran Pdf

This book presents the proceedings of four conferences: The 16th International Conference on Frontiers in Education: Computer Science and Computer Engineering + STEM (FECS'20), The 16th International Conference on Foundations of Computer Science (FCS'20), The 18th International Conference on Software Engineering Research and Practice (SERP'20), and The 19th International Conference on e-Learning, e-Business, Enterprise Information Systems, & e-Government (EEE'20). The conferences took place in Las Vegas, NV, USA, July 27-30, 2020 as part of the larger 2020 World Congress in Computer Science, Computer Engineering, & Applied Computing (CSCE'20), which features 20 major tracks. Authors include academics, researchers, professionals, and students. This book contains an open access chapter entitled, "Advances in Software Engineering, Education, and e-Learning". Presents the proceedings of four conferences as part of the 2020 World Congress in Computer Science, Computer Engineering, & Applied Computing (CSCE'20); Includes the tracks Computer Engineering + STEM, Foundations of Computer Science, Software Engineering Research, and e-Learning, e-Business, Enterprise Information Systems, & e-Government; Features papers from FECS'20, FCS'20, SERP'20, EEE'20, including one open access chapter.

Author : Mauricio Ayala-Rincón,César A. Muñoz
Publisher : Springer
Page : 550 pages
File Size : 45,9 Mb
Release : 2017-09-04
Category : Mathematics
ISBN : 9783319661070

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Interactive Theorem Proving by Mauricio Ayala-Rincón,César A. Muñoz Pdf

This book constitutes the refereed proceedings of the 8th International Conference on Interactive Theorem Proving, ITP 2017, held in Brasilia, Brazil, in September 2017. The 28 full papers, 2 rough diamond papers, and 3 invited talk papers presented were carefully reviewed and selected from 65 submissions. The topics range from theoretical foundations to implementation aspects and applications in program verification, security and formalization of mathematical theories.

Author : Roderick Bloem,Rayna Dimitrova,Chuchu Fan,Natasha Sharygina
Publisher : Springer Nature
Page : 207 pages
File Size : 48,7 Mb
Release : 2022-02-21
Category : Computers
ISBN : 9783030955618

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Software Verification by Roderick Bloem,Rayna Dimitrova,Chuchu Fan,Natasha Sharygina Pdf

This book constitutes the refereed proceedings of the 13th International Conference on Verified Software, VSTTE 2021, and the 14th International Workshop on Numerical Software Verification, NSV 2021, held online, in July/ October 2021. Due to COVID-19 pandemic the conference was held virtually. There were 10 papers presented in this volume were carefully reviewed and selected from 20 submissions. The papers focuses on challenges of the verification of cyber-physical systems with machine learning components and making large-scale verified software a practical reality and much more.

Author : Ilias S. Kotsireas,Siegfried M. Rump,Chee K. Yap
Publisher : Springer
Page : 628 pages
File Size : 44,9 Mb
Release : 2016-04-16
Category : Computers
ISBN : 9783319328591

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Mathematical Aspects of Computer and Information Sciences by Ilias S. Kotsireas,Siegfried M. Rump,Chee K. Yap Pdf

This book constitutes the thoroughly refereed post-conference proceedings of the 6th International Conference on Mathematical Aspects of Computer and Information Sciences, MACIS 2015, held in Berlin, Germany, in November 2015. The 48 revised papers presented together with 7 invited papers were carefully reviewed and selected from numerous submissions. The papers are grouped in topical sections on curves and surfaces, applied algebraic geometry, cryptography, verified numerical computation, polynomial system solving, managing massive data, computational theory of differential and difference equations, data and knowledge exploration, algorithm engineering in geometric computing, real complexity: theory and practice, global optimization, and general session.

Author : Marco Nehmeier,Jürgen Wolff von Gudenberg,Warwick Tucker
Publisher : Springer
Page : 291 pages
File Size : 46,6 Mb
Release : 2016-04-08
Category : Computers
ISBN : 9783319317694

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Scientific Computing, Computer Arithmetic, and Validated Numerics by Marco Nehmeier,Jürgen Wolff von Gudenberg,Warwick Tucker Pdf

This book constitutes the refereed post proceedings of the 16th International Symposium, SCAN 2014, held in Würzburg, Germany, in September 2014. The 22 full papers presented were carefully reviewed and selected from 60 submissions. The main concerns of research addressed by SCAN conferences are validation, verification or reliable assertions of numerical computations. Interval arithmetic and other treatments of uncertainty are developed as appropriate tools.

Author : Hoon Hong,Chee Yap
Publisher : Springer
Page : 762 pages
File Size : 54,9 Mb
Release : 2014-08-01
Category : Computers
ISBN : 9783662441992

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Mathematical Software -- ICMS 2014 by Hoon Hong,Chee Yap Pdf

This book constitutes the proceedings of the 4th International Conference on Mathematical Software, ICMS 2014, held in Seoul, South Korea, in August 2014. The 108 papers included in this volume were carefully reviewed and selected from 150 submissions. The papers are organized in topical sections named: invited; exploration; group; coding; topology; algebraic; geometry; surfaces; reasoning; special; Groebner; triangular; parametric; interfaces and general.