Computer Arithmetic Algorithms, Second Edition

Author: Israel Koren

Publisher: CRC Press

ISBN: 1439863717

Category: Computers

Page: 296

View: 9424

This text explains the fundamental principles of algorithms available for performing arithmetic operations on digital computers. These include basic arithmetic operations like addition, subtraction, multiplication, and division in fixed-point and floating-point number systems as well as more complex operations such as square root extraction and evaluation of exponential, logarithmic, and trigonometric functions. The algorithms described are independent of the particular technology employed for their implementation.
Posted in Computers

Computer Arithmetic

Algorithms and Hardware Designs

Author: Behrooz Parhami

Publisher: Oxford University Press, USA

ISBN: 9780195328486

Category: Computers

Page: 641

View: 6646

Ideal for graduate and senior undergraduate courses in computer arithmetic and advanced digital design, Computer Arithmetic: Algorithms and Hardware Designs, Second Edition, provides a balanced, comprehensive treatment of computer arithmetic. It covers topics in arithmetic unit design and circuit implementation that complement the architectural and algorithmic speedup techniques used in high-performance computer architecture and parallel processing. Using a unified and consistent framework, the text begins with number representation and proceeds through basic arithmetic operations, floating-point arithmetic, and function evaluation methods. Later chapters cover broad design and implementation topics-including techniques for high-throughput, low-power, fault-tolerant, and reconfigurable arithmetic. An appendix provides a historical view of the field and speculates on its future. An indispensable resource for instruction, professional development, and research, Computer Arithmetic: Algorithms and Hardware Designs, Second Edition, combines broad coverage of the underlying theories of computer arithmetic with numerous examples of practical designs, worked-out examples, and a large collection of meaningful problems. This second edition includes a new chapter on reconfigurable arithmetic, in order to address the fact that arithmetic functions are increasingly being implemented on field-programmable gate arrays (FPGAs) and FPGA-like configurable devices. Updated and thoroughly revised, the book offers new and expanded coverage of saturating adders and multipliers, truncated multipliers, fused multiply-add units, overlapped quotient digit selection, bipartite and multipartite tables, reversible logic, dot notation, modular arithmetic, Montgomery modular reduction, division by constants, IEEE floating-point standard formats, and interval arithmetic. Features: * Divided into 28 lecture-size chapters * Emphasizes both the underlying theories of computer arithmetic and actual hardware designs * Carefully links computer arithmetic to other subfields of computer engineering * Includes 717 end-of-chapter problems ranging in complexity from simple exercises to mini-projects * Incorporates many examples of practical designs * Uses consistent standardized notation throughout * Instructor's manual includes solutions to text problems * An author-maintained website http://www.ece.ucsb.edu/~parhami/text_comp_arit.htm contains instructor resources, including complete lecture slides
Posted in Computers

Computer Arithmetic

Volume II

Author: Earl E Swartzlander

Publisher: World Scientific

ISBN: 9814641480

Category: Mathematics

Page: 484

View: 4246

This is the new edition of the classic book Computer Arithmetic in three volumes published originally in 1990 by IEEE Computer Society Press. As in the original, the book contains many classic papers treating advanced concepts in computer arithmetic, which is very suitable as stand-alone textbooks or complementary materials to textbooks on computer arithmetic for graduate students and research professionals interested in the field. Told in the words of the initial developers, this book conveys the excitement of the creators, and the implementations provide insight into the details necessary to realize real chips. This second volume presents topics on error tolerant arithmetic, digit on-line arithmetic, number systems, and now in this new edition, a topic on implementations of arithmetic operations, all wrapped with an updated overview and a new introduction for each chapter. This volume is part of a 3 volume set: Computer Arithmetic Volume I Computer Arithmetic Volume II Computer Arithmetic Volume III The full set is available for sale in a print-only version. Contents:Error Tolerant ArithmeticOn-Line ArithmeticVLSI Adder ImplementationsVLSI Multiplier ImplementationsFloating-Point VLSI ChipsNumber RepresentationImplementations Readership: Graduate students and research professionals interested in computer arithmetic. Key Features:It reprints the classic papersIt covers advanced arithmetic operationsIt does this in the words of the original creatorsKeywords:Computer Arithmetic;Fault Tolerant;Arithmetic;On-Line Arithmetic;Adder Implementations;Multiplier Implementations;Floating Point Chips;Number Representation;Implementations
Posted in Mathematics

Algorithms and Design Methods for Digital Computer Arithmetic

Author: Behrooz Parhami

Publisher: N.A

ISBN: 9780199766932

Category: Computer algorithms

Page: 623

View: 9500

Ideal for graduate and senior undergraduate courses in computer arithmetic and advanced digital design, Computer Arithmetic: Algorithms and Hardware Designs, Second Edition, provides a balanced, comprehensive treatment of computer arithmetic. It covers topics in arithmetic unit design and circuit implementation that complement the architectural and algorithmic speedup techniques used in high-performance computer architecture and parallel processing. Using a unified and consistent framework, the text begins with number representation and proceeds through basic arithmetic operations, floating-point arithmetic, and function evaluation methods. Later chapters cover broad design and implementation topics-including techniques for high-throughput, low-power, fault-tolerant, and reconfigurable arithmetic. An appendix provides a historical view of the field and speculates on its future.An indispensable resource for instruction, professional development, and research, Computer Arithmetic: Algorithms and Hardware Designs, Second Edition, combines broad coverage of the underlying theories of computer arithmetic with numerous examples of practical designs, worked-out examples, and a large collection of meaningful problems. This second edition includes a new chapter on reconfigurable arithmetic, in order to address the fact that arithmetic functions are increasingly being implemented on field-programmable gate arrays (FPGAs) and FPGA-like configurable devices. Updated and thoroughly revised, the book offers new and expanded coverage of saturating adders and multipliers, truncated multipliers, fused multiply-add units, overlapped quotient digit selection, bipartite and multipartite tables, reversible logic, dot notation, modular arithmetic, Montgomery modular reduction, division by constants, IEEE floating-point standard formats, and interval arithmetic.Readership: Graduate and senior undergraduate courses in computer arithmetic and advanced digital design.
Posted in Computer algorithms

Algorithmen - Eine Einführung

Author: Thomas H. Cormen,Charles E. Leiserson,Ronald Rivest,Clifford Stein

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 3110522012

Category: Computers

Page: 1339

View: 7201

Der "Cormen" bietet eine umfassende und vielseitige Einführung in das moderne Studium von Algorithmen. Es stellt viele Algorithmen Schritt für Schritt vor, behandelt sie detailliert und macht deren Entwurf und deren Analyse allen Leserschichten zugänglich. Sorgfältige Erklärungen zur notwendigen Mathematik helfen, die Analyse der Algorithmen zu verstehen. Den Autoren ist es dabei geglückt, Erklärungen elementar zu halten, ohne auf Tiefe oder mathematische Exaktheit zu verzichten. Jedes der weitgehend eigenständig gestalteten Kapitel stellt einen Algorithmus, eine Entwurfstechnik, ein Anwendungsgebiet oder ein verwandtes Thema vor. Algorithmen werden beschrieben und in Pseudocode entworfen, der für jeden lesbar sein sollte, der schon selbst ein wenig programmiert hat. Zahlreiche Abbildungen verdeutlichen, wie die Algorithmen arbeiten. Ebenfalls angesprochen werden Belange der Implementierung und andere technische Fragen, wobei, da Effizienz als Entwurfskriterium betont wird, die Ausführungen eine sorgfältige Analyse der Laufzeiten der Programme mit ein schließen. Über 1000 Übungen und Problemstellungen und ein umfangreiches Quellen- und Literaturverzeichnis komplettieren das Lehrbuch, dass durch das ganze Studium, aber auch noch danach als mathematisches Nachschlagewerk oder als technisches Handbuch nützlich ist. Für die dritte Auflage wurde das gesamte Buch aktualisiert. Die Änderungen sind vielfältig und umfassen insbesondere neue Kapitel, überarbeiteten Pseudocode, didaktische Verbesserungen und einen lebhafteren Schreibstil. So wurden etwa - neue Kapitel zu van-Emde-Boas-Bäume und mehrfädigen (engl.: multithreaded) Algorithmen aufgenommen, - das Kapitel zu Rekursionsgleichungen überarbeitet, sodass es nunmehr die Teile-und-Beherrsche-Methode besser abdeckt, - die Betrachtungen zu dynamischer Programmierung und Greedy-Algorithmen überarbeitet; Memoisation und der Begriff des Teilproblem-Graphen als eine Möglichkeit, die Laufzeit eines auf dynamischer Programmierung beruhender Algorithmus zu verstehen, werden eingeführt. - 100 neue Übungsaufgaben und 28 neue Problemstellungen ergänzt. Umfangreiches Dozentenmaterial (auf englisch) ist über die Website des US-Verlags verfügbar.
Posted in Computers

Statistical Computing in C++ and R

Author: Randall L. Eubank,Ana Kupresanin

Publisher: CRC Press

ISBN: 1420066501

Category: Mathematics

Page: 556

View: 1505

With the advancement of statistical methodology inextricably linked to the use of computers, new methodological ideas must be translated into usable code and then numerically evaluated relative to competing procedures. In response to this, Statistical Computing in C++ and R concentrates on the writing of code rather than the development and study of numerical algorithms per se. The book discusses code development in C++ and R and the use of these symbiotic languages in unison. It emphasizes that each offers distinct features that, when used in tandem, can take code writing beyond what can be obtained from either language alone. The text begins with some basics of object-oriented languages, followed by a "boot-camp" on the use of C++ and R. The authors then discuss code development for the solution of specific computational problems that are relevant to statistics including optimization, numerical linear algebra, and random number generation. Later chapters introduce abstract data structures (ADTs) and parallel computing concepts. The appendices cover R and UNIX Shell programming. Features Includes numerous student exercises ranging from elementary to challenging Integrates both C++ and R for the solution of statistical computing problems Uses C++ code in R and R functions in C++ programs Provides downloadable programs, available from the authors’ website The translation of a mathematical problem into its computational analog (or analogs) is a skill that must be learned, like any other, by actively solving relevant problems. The text reveals the basic principles of algorithmic thinking essential to the modern statistician as well as the fundamental skill of communicating with a computer through the use of the computer languages C++ and R. The book lays the foundation for original code development in a research environment.
Posted in Mathematics

Computer Organization and Design MIPS Edition

The Hardware/Software Interface

Author: David A. Patterson,John L. Hennessy

Publisher: Newnes

ISBN: 0124078869

Category: Computers

Page: 800

View: 1676

Computer Organization and Design, Fifth Edition, is the latest update to the classic introduction to computer organization. The text now contains new examples and material highlighting the emergence of mobile computing and the cloud. It explores this generational change with updated content featuring tablet computers, cloud infrastructure, and the ARM (mobile computing devices) and x86 (cloud computing) architectures. The book uses a MIPS processor core to present the fundamentals of hardware technologies, assembly language, computer arithmetic, pipelining, memory hierarchies and I/O.Because an understanding of modern hardware is essential to achieving good performance and energy efficiency, this edition adds a new concrete example, Going Faster, used throughout the text to demonstrate extremely effective optimization techniques. There is also a new discussion of the Eight Great Ideas of computer architecture. Parallelism is examined in depth with examples and content highlighting parallel hardware and software topics. The book features the Intel Core i7, ARM Cortex-A8 and NVIDIA Fermi GPU as real-world examples, along with a full set of updated and improved exercises. This new edition is an ideal resource for professional digital system designers, programmers, application developers, and system software developers. It will also be of interest to undergraduate students in Computer Science, Computer Engineering and Electrical Engineering courses in Computer Organization, Computer Design, ranging from Sophomore required courses to Senior Electives. Winner of a 2014 Texty Award from the Text and Academic Authors Association Includes new examples, exercises, and material highlighting the emergence of mobile computing and the cloud Covers parallelism in depth with examples and content highlighting parallel hardware and software topics Features the Intel Core i7, ARM Cortex-A8 and NVIDIA Fermi GPU as real-world examples throughout the book Adds a new concrete example, "Going Faster," to demonstrate how understanding hardware can inspire software optimizations that improve performance by 200 times Discusses and highlights the "Eight Great Ideas" of computer architecture: Performance via Parallelism; Performance via Pipelining; Performance via Prediction; Design for Moore's Law; Hierarchy of Memories; Abstraction to Simplify Design; Make the Common Case Fast; and Dependability via Redundancy Includes a full set of updated and improved exercises
Posted in Computers

Accuracy and Stability of Numerical Algorithms

Second Edition

Author: Nicholas J. Higham

Publisher: SIAM

ISBN: 9780898718027

Category: Computer algorithms

Page: 680

View: 9658

Accuracy and Stability of Numerical Algorithms gives a thorough, up-to-date treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. This second edition expands and updates the coverage of the first edition (1996) and includes numerous improvements to the original material. Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton's method. Twelve new sections include coverage of additional error bounds for Gaussian elimination, rank revealing LU factorizations, weighted and constrained least squares problems, and the fused multiply-add operation found on some modern computer architectures.
Posted in Computer algorithms

Handbook of Signal Processing Systems

Author: Shuvra S. Bhattacharyya,Ed F. Deprettere,Rainer Leupers,Jarmo Takala

Publisher: Springer Science & Business Media

ISBN: 1461468590

Category: Technology & Engineering

Page: 1399

View: 1004

Handbook of Signal Processing Systems is organized in three parts. The first part motivates representative applications that drive and apply state-of-the art methods for design and implementation of signal processing systems; the second part discusses architectures for implementing these applications; the third part focuses on compilers and simulation tools, describes models of computation and their associated design tools and methodologies. This handbook is an essential tool for professionals in many fields and researchers of all levels.
Posted in Technology & Engineering

Fault-Tolerant Systems

Author: Israel Koren,C. Mani Krishna

Publisher: Elsevier

ISBN: 9780080492681

Category: Computers

Page: 400

View: 2270

Fault-Tolerant Systems is the first book on fault tolerance design with a systems approach to both hardware and software. No other text on the market takes this approach, nor offers the comprehensive and up-to-date treatment that Koren and Krishna provide. This book incorporates case studies that highlight six different computer systems with fault-tolerance techniques implemented in their design. A complete ancillary package is available to lecturers, including online solutions manual for instructors and PowerPoint slides. Students, designers, and architects of high performance processors will value this comprehensive overview of the field. The first book on fault tolerance design with a systems approach Comprehensive coverage of both hardware and software fault tolerance, as well as information and time redundancy Incorporated case studies highlight six different computer systems with fault-tolerance techniques implemented in their design Available to lecturers is a complete ancillary package including online solutions manual for instructors and PowerPoint slides
Posted in Computers

VLSI Circuits and Systems

Author: José Francisco López,SPIE Europe,AnaFocus (Firm),Francisco V. Fernández,Centro Nacional de Microlectrbonica,José María López-Villegas,Anafocus (Spain),SPIE Digital Library

Publisher: N.A

ISBN: N.A

Category: Integrated circuits

Page: N.A

View: 4150

Posted in Integrated circuits

Programmieren lernen mit Python

Author: Allen B. Downey

Publisher: O'Reilly Media

ISBN: 3955618080

Category: Computers

Page: 320

View: 2948

Python ist eine moderne, interpretierte, interaktive und objektorientierte Skriptsprache, vielseitig einsetzbar und sehr beliebt. Mit mathematischen Vorkenntnissen ist Python leicht erlernbar und daher die ideale Sprache für den Einstieg in die Welt des Programmierens. Das Buch führt Sie Schritt für Schritt durch die Sprache, beginnend mit grundlegenden Programmierkonzepten, über Funktionen, Syntax und Semantik, Rekursion und Datenstrukturen bis hin zum objektorientierten Design. Zur aktualisierten Auflage: Diese Auflage behandelt Python 3, geht dabei aber auch auf Unterschiede zu Python 2 ein. Außerdem wurde das Buch um die Themen Unicode, List und Dictionary Comprehensions, den Mengen-Typ Set, die String-Format-Methode und print als Funktion ergänzt. Jenseits reiner Theorie: Jedes Kapitel enthält passende Übungen und Fallstudien, kurze Verständnistests und kleinere Projekte, an denen Sie die neu erlernten Programmierkonzepte gleich ausprobieren und festigen können. Auf diese Weise können Sie das Gelernte direkt anwenden und die jeweiligen Programmierkonzepte nachvollziehen. Lernen Sie Debugging-Techniken kennen: Am Ende jedes Kapitels finden Sie einen Abschnitt zum Thema Debugging, der Techniken zum Aufspüren und Vermeiden von Bugs sowie Warnungen vor entsprechenden Stolpersteinen in Python enthält.
Posted in Computers

Computer Arithmetic

Algorithms and Hardware Implementations

Author: Mircea Vlăduţiu

Publisher: Springer Science & Business Media

ISBN: 364218314X

Category: Computers

Page: 270

View: 9229

The subject of this book is the analysis and design of digital devices that implement computer arithmetic. The book's presentation of high-level detail, descriptions, formalisms and design principles means that it can support many research activities in this field, with an emphasis on bridging the gap between algorithm optimization and hardware implementation. The author provides a unified view linking the domains of digital design and arithmetic algorithms, based on original formalisms and hardware description languages. A feature of the book is the large number of examples and the implementation details provided. While the author does not avoid high-level details, providing for example gate-level designs for all matrix/combinational arithmetic structures. The book is suitable for researchers and students engaged with hardware design in computer science and engineering. A feature of the book is the large number of examples and the implementation details provided. While the author does not avoid high-level details, providing for example gate-level designs for all matrix/combinational arithmetic structures. The book is suitable for researchers and students engaged with hardware design in computer science and engineering.
Posted in Computers

Proceedings

Author: Ed. F. Deprettere

Publisher: N.A

ISBN: N.A

Category: Computers

Page: N.A

View: 7299

Posted in Computers

Kombinatorische Optimierung

Theorie und Algorithmen

Author: Bernhard Korte,Jens Vygen

Publisher: Springer-Verlag

ISBN: 3642254012

Category: Mathematics

Page: 696

View: 3064

Das umfassende Lehrbuch zur Kombinatorischen Optimierung beruht auf Vorlesungen, die die Autoren an der Universität Bonn gehalten haben. Sie geben den neuesten Stand des Fachgebiets wieder – mit Schwerpunkt auf theoretischen Resultaten und Algorithmen mit guten Laufzeiten und Ergebnissen. Der Band enthält vollständige Beweise, einige davon wurden bisher nicht in der Lehrbuchliteratur publiziert. Die deutschsprachige Neuauflage enthält alle Ergänzungen und Aktualisierungen der 5. englischsprachigen Auflage, darunter mehr als 60 neue Übungsaufgaben.
Posted in Mathematics

Hello World!

Programmieren für Kids und andere Anfänger

Author: Warren Sande,Carter Sande

Publisher: Carl Hanser Verlag GmbH Co KG

ISBN: 3446438149

Category: Computers

Page: 501

View: 3538

HELLO WORLD// - Alle Erklärungen der Konzepte in einfacher Sprache - Sehr viele Bilder, Cartoons und lustige Beispiele - Umfassende Fragen und Aufgaben zum Üben und Lernen - Farbig illustriert In diesem Buch lernst Du, mit dem Computer in seiner Sprache zu sprechen. Willst du ein Spiel erfinden? Eine Firma gründen? Ein wichtiges Problem lösen? Als ersten Schritt lernst Du, eigene Programme zu schreiben. Programmieren ist eine tolle Herausforderung, und dieses Buch macht Dir den Einstieg leicht. Diese neue Ausgabe von Hello World! zeigt Dir in einfacher und ansprechender Weise die Welt der Computerprogrammierung. Warren Sande hat es gemeinsam mit seinem Sohn Carter geschrieben, und sie haben sich auch viele lustige Beispiele ausgedacht, mit denen Du prima lernen kannst. Das Buch wurde von Pädagogen überarbeitet und eignet sich für Kinder genauso wie für ihre Eltern. Du brauchst keine Programmierkenntnisse mitzubringen, sondern nur zu wissen, wie man einen Computer bedient. Wenn Du ein Programm starten und eine Datei speichern kannst, reicht das schon! Hello World! arbeitet mit Python. Diese Programmiersprache ist besonders leicht zu erlernen. Mit den humorvollen Beispielen lernst Du die Grundlagen des Programmierens kennen, wie z.B. Schleifen, Entscheidungen, Eingaben und Ausgaben, Datenstrukturen, Grafiken und vieles mehr. AUS DEM INHALT // Speicher und Variablen // Datentypen // GUIs – Grafische Benutzeroberflächen // Immer diese Entscheidungen // Schleifen // Nur für dich – Kommentare // Geschachtelte und variable Schleifen // Listen und Wörterbücher // Funktionen // Objekte // Module // Sprites und Kollisionserkennung // Ereignisse // Sound // Ausgabeformatierung und Strings // Das Zufallsprinzip // Computersimulationen
Posted in Computers

Compiler

Prinzipien, Techniken und Werkzeuge

Author: Alfred V. Aho

Publisher: Pearson Deutschland GmbH

ISBN: 9783827370976

Category: Compiler

Page: 1253

View: 2101

Posted in Compiler

Practical Algorithms for 3D Computer Graphics, Second Edition

Author: R. Stuart Ferguson

Publisher: CRC Press

ISBN: 1466582529

Category: Computers

Page: 508

View: 5052

Practical Algorithms for 3D Computer Graphics, Second Edition covers the fundamental algorithms that are the core of all 3D computer graphics software packages. Using Core OpenGL and OpenGL ES, the book enables you to create a complete suite of programs for 3D computer animation, modeling, and image synthesis. Since the publication of the first edition, implementation aspects have changed significantly, including advances in graphics technology that are enhancing immersive experiences with virtual reality. Reflecting these considerable developments, this second edition presents up-to-date algorithms for each stage in the creative process. It takes you from the construction of polygonal models of real and imaginary objects to rigid body animation and hierarchical character animation to the rendering pipeline for the synthesis of realistic images. New to the Second Edition New chapter on the modern approach to real-time 3D programming using OpenGL New chapter that introduces 3D graphics for mobile devices New chapter on OpenFX, a comprehensive open source 3D tools suite for modeling and animation Discussions of new topics, such as particle modeling, marching cubes, and techniques for rendering hair and fur More web-only content, including source code for the algorithms, video transformations, comprehensive examples, and documentation for OpenFX The book is suitable for newcomers to graphics research and 3D computer games as well as more experienced software developers who wish to write plug-in modules for any 3D application program or shader code for a commercial games engine.
Posted in Computers