Titlebook: Elementary Functions; Algorithms and Imple Jean-Michel Muller Textbook 2016Latest edition Springer Science+Business Media New York 2016 Ele

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Extort

WAX

https://doi.org/10.1007/978-3-031-49234-1The shift-and-add algorithms presented in Chapters . and . allow us to obtain an .-bit approximation of the function being computed after about . iterations. This property makes most of these algorithms rather slow; their major interest lies in the simplicity of implementation, and in the small silicon area of designs.

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拱形大桥

Life and Labour in Rural England, 1760–1850This chapter is devoted to the problems of preserving monotonicity and always getting correctly rounded results when implementing the elementary functions in floating-point arithmetic.

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arabesque

Introduction to Computer Arithmetic,The aim of this section is to provide the reader with some basic concepts of floating-point arithmetic, and to define notations that are used throughout the book.

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The Classical Theory of Polynomial or Rational ApproximationsUsing a finite number of additions, subtractions, multiplications, and comparisons, the only functions of one variable that one can compute are ..

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HAIL

Polynomial EvaluationIn Chapters . and ., we have studied how a function can be approximated by a polynomial or a rational function. When actually implementing the approximation, one has to select the way to evaluate a polynomial in order to minimize the error and/or to maximize the speed.