Evaluating elementary functions in a numerical coprocessor based on rational approximations

Evaluating elementary functions in a numerical coprocessor based on rational approximations

A different approach to hardware evaluation of elementary functions for high-precision floating-point numbers (in particular, the extended double precision format of the IEEE standard P754) is examined. The evaluation is based on rational approximations of the elementary functions, a method which is...

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Veröffentlicht in:IEEE transactions on computers 1990-08, Vol.39 (8), p.1030-1037
Hauptverfasser: Koren, I., Zinaty, O.
Format: Artikel
Sprache:eng
Schlagworte:
Coprocessors
Ear
Equations
Floating-point arithmetic
Hardware
Iterative methods
Silicon
Software packages
Testing
Very large scale integration
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Zinaty, O.
description A different approach to hardware evaluation of elementary functions for high-precision floating-point numbers (in particular, the extended double precision format of the IEEE standard P754) is examined. The evaluation is based on rational approximations of the elementary functions, a method which is commonly used in scientific software packages. A hardware model is presented of a floating-point numeric coprocessor consisting of a fast adder and a fast multiplier, and the minimum hardware required for evaluation of the elementary functions is added to it. Next, rational approximations for evaluating the elementary functions and testing the accuracy of the results are derived. The calculation time of these approximations in the proposed numeric processor is then estimated. It is concluded that rational approximations can successfully complete with previously used methods when execution time and silicon area are considered.< >
doi_str_mv 10.1109/12.57042
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subjects Coprocessors
Ear
Equations
Floating-point arithmetic
Hardware
Iterative methods
Silicon
Software packages
Testing
Very large scale integration
title Evaluating elementary functions in a numerical coprocessor based on rational approximations
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