Computer-hardware evaluation of mathematical functions
[Book]
Amos Omondi.
London :
Imperial College Press,
c2016.
1 online resource (xviii, 414 p.) :
ill. (some col.)
Title from PDF file title page (viewed December 7, 2015).
Includes bibliographical references (p. 397-410) and index.
Errors, range reduction, and rounding -- Redundant representations and high-speed arithmetic -- CORDIC -- High-performance CORDIC -- Normalization algorithms -- Polynomial and rational-function approximations -- Table lookup and segmented polynomial approximations -- Reciprocals, square roots, and inverse square roots.
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"Computer-Hardware Evaluation of Mathematical Functions provides a thorough up-to-date understanding of the methods used in computer hardware for the evaluation of mathematical functions: reciprocals, square-roots, exponentials, logarithms, trigonometric functions, hyperbolic functions, etc. It discusses how the methods are derived, how they work, and how well they work. The methods are divided into four core themes: CORDIC, normalization, table look-up, and polynomial approximations. In each case, the author carefully considers the mathematical derivation and basis of the relevant methods, how effective they are (including mathematical errors analysis), and how they can be implemented in hardware. This book is an excellent resource for any student or researcher seeking a comprehensive, yet easily understandable, explanation of how computer chips evaluate mathematical functions."--
Mode of access: World Wide Web. System requirements: Adobe Acrobat Reader.