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Monday, July 20, 2020 | History

1 edition of An analysis of algorithms for hardware evaluation of elementary functions found in the catalog.

An analysis of algorithms for hardware evaluation of elementary functions

Richard H. Franke

An analysis of algorithms for hardware evaluation of elementary functions

by Richard H. Franke

  • 30 Want to read
  • 7 Currently reading

Published by Naval Postgraduate School in Monterey, California .
Written in English

    Subjects:
  • Algorithms,
  • Computer programs

  • About the Edition

    Algorithms for the automatic evaluation of elementary functions were studied. Available algorithms obtained from current literature were analyzed to determine their suitability for hardware implementation, in terms of their accuracy, convergence rate, and hardware requirements. The functions considered were quotient, arctangent, cosine/sine, exponential, power function, logarithm, tangent, square root, and product. (Author)

    Edition Notes

    Statementby Richard Franke
    ContributionsNaval Postgraduate School (U.S.)
    The Physical Object
    Pagination82 p. :
    Number of Pages82
    ID Numbers
    Open LibraryOL25515310M
    OCLC/WorldCa436221547

    A comprehensive, self-contained treatment of Fourier analysis and wavelets—now in a new edition Through expansive coverage and easy-to-follow explanations, A First Course in Wavelets with Fourier Analysis, Second Edition provides a self-contained mathematical treatment of Fourier analysis and wavelets, while uniquely presenting signal analysis applications and problems. Vitit Kantabutra () "On hardware for computing exponential and trigonometric functions," IEEE Transactions on Computers 45(3): – R. P. Brent () "Fast Multiple-Precision Evaluation of Elementary Functions", Journal of the Association for .

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      The book provides many of the basic papers in computer arithmetic. These papers describe the concepts and basic operations (in the words of the original developers) that would be useful to the designers of computers and embedded systems. advanced concepts such as logarithmic arithmetic and the calculations of elementary functions are also. Download Data Structure Lecture Notes Pdf. From the following 1st-year Data Structure Notes, you can get the complete Study Material in Single Download Link. We provide 1st-year Data Structure study materials to student with free of cost and it can download easily and without registration : Daily Exams.


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An analysis of algorithms for hardware evaluation of elementary functions by Richard H. Franke Download PDF EPUB FB2

The book also contains some relevant typical programs." —Zentralblatt MATH (Review of Second Edition) "This book is devoted to the computation of elementary functions (such as sine, cosine, tan, exponentials and logarithms) and it is intended for specialists and inquiring minds as the author says in his : Birkhäuser Basel.

This unique book provides concepts and background necessary to understand and build algorithms for computing the elementary functions—sine, cosine, tangent, exponentials, and logarithms. The author presents and structures the algorithms, hardware-oriented as well as software-oriented, and also discusses issues related to accurate floating.

The book is an up-to-date presentation of information needed to understand and accurately use mathematical functions and algorithms in computational work and design. Graduate and advanced undergraduate students, professionals, and researchers in scientific computing, numerical analysis, software engineering, and computer engineering will find.

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 : Birkhäuser Basel. Get this from a library. Elementary functions: algorithms and implementation. [J M Muller] -- This work deals with Numerical Algorithms.

This unique book provides concepts and background necessary to understand and build algorithms for computing the elementary functions. Presenting concepts and tools to understand, build and implement algorithms for computing elementary functions such as logarithms, the 3rd edition includes hardware- and software- algorithms, along New sections include an overview of the IEEE standard, and double-/triple-word numbers.

Chapter 7 The CORDIC Algorithm (pgs ) of Elementary Functions algorithms & implementation 2e by Jean-Michel Muller {© Birkhäuser} may also be of interest. excerpt from Chapter 1 This book is devoted to the computation of the elementary functions. Here, we call elementary functions the most commonly used mathematical.

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. Overview Our objective in this chapter is to find efficient algorithms for evaluating dementary functions (like e x, In x, sin x, cos x, etc. Learn more about Chapter 9: Evaluation of Elementary Functions on GlobalSpec.

In computer science, the analysis of algorithms is the process of finding the computational complexity of algorithms – the amount of time, storage, or other resources needed to execute y, this involves determining a function that relates the length of an algorithm's input to the number of steps it takes (its time complexity) or the number of storage locations it uses (its.

Elementary functions: algorithms and implementation. Optimizing Hardware Function Evaluation, IEEE Transactions on Computers,(), Online publication date: 1-Dec Design and analysis of algorithms.

Approximation algorithms analysis. Comments. CORDIC (for COordinate Rotation DIgital Computer), also known as Volder's algorithm, is a simple and efficient algorithm to calculate hyperbolic and trigonometric functions, typically converging with one digit (or bit) per is therefore also an example of digit-by-digit and closely related methods known as pseudo-multiplication and.

The first part consists of two chapters and is devoted to algorithms using polynomial or rational approximations of the elementary functions and, possibly, tables. The second part consists of three chapters, and deals with "shift-and-add" algorithms, i.e.

hardware-oriented algorithms that use additions and shifts only. Lee D, Cheung R, Luk W and Villasenor J () Hierarchical segmentation for hardware function evaluation, IEEE Transactions on Very Large Scale Integration (VLSI) Systems,(), Online publication date: 1-Jan 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.

Finally, a deeper analysis of the methods is presented as in traditional numerical analysis texts. Show less Numerical Methods, Software, and Analysis, Second Edition introduces science and engineering students to the methods, tools, and ideas of numerical computation.

Nondeterministic models: random variables, Poisson process, moment generating functions, statistical inference, and data analysis.

Modeling: elementary queuing models, network of queues, and applications to performance evaluation of computer systems. Prerequisite: CS graduate student or instructor consent required.

Apart from the algorithms of calculation of elementary transcendental functions, in this book there were also algorithms for evaluation of some higher transcendental functions (the Euler Gamma function,for example).

To compute such functions with accuracy up to n digits using the algorithms described in the book one needs. O(n 3/2 log 3 n log. PhD Thesis,Leningrad (St.-Petersburg) On page 3 I say about optimal relationship between software and hardware (codesign, as we say now).

Then - about a problem of the algorithms choice for hardware elementary functions evaluation. On page 4: it is written about main characeristics of the hardware implemen. Analysis, Design and Evaluation of Man–Machine Systems Selected Papers from the Third IFAC/IFIP/IEA/IFORS Conference, Oulu, Finland, 14–16 June This system has three major functions, i.e.

to support normal plant operation, to support incident and accident management, and to provide intelligent man-machine interface. (electrical engineering) s e m e s t e r first second third fourth fifth sixth seventh eighth phy phy mth hss-i-2 ee ee mth chm chm eso ee ee ta mth ta eso ee esc esc ee ee pe ee phy c o u r s e hss-i-1/ engn pe eso/ eso/ eso/ eso ee ee 3 out of.A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text.A new algorithm for computing the complex logarithm and exponential functions is proposed.

This algorithm is based on shift-and-add elementary steps, and it .