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Friday, December 4, 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

  • 261 Want to read
  • 39 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

    Introduction to data structures and analysis of algorithms. Abstract datatypes. Specification and implementation of advanced data structures. Theoretical and empirical analysis of recursive and iterative algorithms. Software performance evaluation and testing techniques. Not open to students with credit in CSC/CPE 3 lectures, 1 Size: KB. So my book would also present a different kind of mathematics than was common in the curriculum at the time, that was very relevant to analysis of algorithm. I went to the publishers, I went to Addison Wesley, and said "How about changing the title of the book from 'The Art of Computer Programming' to 'The Analysis of Algorithms'.".


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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. An analysis of algorithms for hardware evaluation of elementary functions book, 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.

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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. The course exposes students to programming paradigms, including functional, object-oriented, and declarative approaches. It includes an introduction to asymptotic analysis of algorithms. There are several significant programming projects.

Units: CS 61AS. We've partnered with Dartmouth college professors Tom Cormen and Devin Balkcom to teach introductory computer science algorithms, including searching, sorting, recursion, and graph theory.

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Vitit Kantabutra () "On hardware for computing exponential and trigonometric functions," IEEE Transactions on Computers 45(3): – R. Brent () "Fast Multiple-Precision Evaluation of Elementary Functions", Journal of the Association for.

() Evaluation of subgraph searching algorithms detecting network motif in biological networks. Frontiers of Computer Science in China() Infinite-Horizon Joint LQG Synthesis of Switching and Feedback in Discrete by: This book covers the following topics: Introduction to Fortran 90 Language Features, Introduction to Parallel Programming, Numerical Recipes Utility Functions for Fort Solution of Linear Algebraic Equations, Interpolation and Extrapolation, Integration of Functions, Evaluation of Functions, Special Functions, Random Numbers, Sorting.

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.

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Hardware algorithms for function evaluation. Pipelined, digit-serial and fault-tolerant arithmetic processors. History: Professor Parhami took over the teaching of ECE B from the late Dr. James Howard in the winter quarter of Sorting Algorithms.

A Sorting Algorithm is used to rearrange a given array or list elements according to a comparison operator on the elements.

The comparison operator is used to decide the new order of element in the respective data structure. latency evaluation of most elementary functions [13]. Our purpose here is to provide a generic method, that is a method that works for a very large class of functions. The main motivation of this work is to facilitate the implemen-tation of a full hardware mathematical library (libm) in FloPoCo, a coregenerator for high-performance computing on.

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Author: George Kesidis. This is a draft of a book about algorithms for performing arithmetic, and their implementation on modern computers. We are concerned with software more than hardware - we do not cover computer architecture or the design of computer hardware.

Instead we focus on algorithms for efficiently performing arithmetic operations such as addition, multiplication and division, and Cited by: 3. NCS- Design and Analysis of Algorithms 3 1 0 Unit Topic Proposed Lectures I.

Introduction: Algorithms, Analyzing algorithms, Complexity of algorithms, Growth 8 of functions, Performance measurements, Sorting and order Statistics - Shell sort, Quick sort, Merge sort, Heap sort, Comparison of sorting algorithms, Sorting in linear time.

Size: KB. This is a draft of a book about algorithms for performing arithmetic, and their implementation on modern computers. We are concerned with software more than hardware - we do not cover computer architecture or the design of computer hardware.

Instead we focus on algorithms for efficiently performing arithmetic operations such as addition, multiplication and Cited by: 3. In computer science, the computational complexity or simply complexity of an algorithm is the amount of resources required to run it.

Particular focus is given to time and memory requirements. As the amount of resources required to run an algorithm generally varies with the size of the input, the complexity is typically expressed as a function n → f(n), where n is the. butions to parallel algorithms, analysis of algorithms, pseudo-random Brent’s book Algorithms for Minimization without Derivatives [6] was a revision of his thesis, the main change being that ity of high precision evaluation of elementary functions.

Essentially, an n-bit result can be obtained with O(logn) multiplications of O(n)-bit.New Algorithms for the Approximate Evaluation in Hardware of Binary Logarithms and Elementary Functions.

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