Introduction

Jean-Michel Muller ()
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Jean-Michel Muller: CNRS, École Normale Supérieure de Lyon, Laboratoire de l’Informatique du Parallélisme (LIP)

Chapter Chapter 1 in Elementary Functions, 2016, pp 1-6 from Springer

Abstract: Abstract This book is devoted to the computation of the elementary functions. Here, we call elementary functions the most commonly used mathematical functions: $$\sin $$ , $$\cos $$ , $$\tan $$ , $$\sin ^{-1}$$ , $$\cos ^{-1}$$ , $$\tan ^{-1}$$ , $$\sinh $$ , $$\cosh $$ , $$\tanh $$ , $$\sinh ^{-1}$$ , $$\cosh ^{-1}$$ , $$\tanh ^{-1}$$ , exponentials, and logarithms (we should merely say “elementary transcendental functions”: from a mathematical point of view, 1 / x is an elementary function as well as $$e^x$$ . We do not deal with the basic arithmetic functions in this book). Theoretically, the elementary functions are not much harder to compute than quotients: it was shown by Alt [5] that these functions are equivalent to division with respect to Boolean circuit depth.

Keywords: Elementary Function; Polynomial Approximation; Computer Arithmetic; Range Reduction; Pocket Calculator (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-1-4899-7983-4_1

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