Arithmetic expressions optimisation using dual polarity property

A method for optimisation of fixed polarity arithmetic expressions (FPAEs) based on dual polarity is proposed. The method exploits a simple relationship between two FPAEs for dual polarities. It starts from the zero polarity FPAE of the given function and calculates all FPAEs using the dual polarity...

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Main Authors: Janković Dragan, Stanković Radomir S., Moraga Claudio
Format: Article
Language:English
Published: Faculty of Technical Sciences in Cacak 2003-01-01
Series:Serbian Journal of Electrical Engineering
Subjects:
Online Access:http://www.doiserbia.nb.rs/img/doi/1451-4869/2003/1451-48690301071J.pdf
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author Janković Dragan
Stanković Radomir S.
Moraga Claudio
author_facet Janković Dragan
Stanković Radomir S.
Moraga Claudio
author_sort Janković Dragan
collection DOAJ
description A method for optimisation of fixed polarity arithmetic expressions (FPAEs) based on dual polarity is proposed. The method exploits a simple relationship between two FPAEs for dual polarities. It starts from the zero polarity FPAE of the given function and calculates all FPAEs using the dual polarity route. Using one-bit check carries out conversion from one FPAE to another. Each term in an FPAE is processed by the proposed processing rule. Terms, which differ in a single position, can be substituted by a high order term (cube). Experimental results show efficiency of proposed method.
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spelling doaj.art-e4905f6646384440804a51c6e692e6282022-12-21T18:55:21ZengFaculty of Technical Sciences in CacakSerbian Journal of Electrical Engineering1451-48692217-71832003-01-0111718010.2298/SJEE0301071J1451-48690301071JArithmetic expressions optimisation using dual polarity propertyJanković Dragan0Stanković Radomir S.1Moraga Claudio2Faculty of Electronic Engineering, University of NišFaculty of Electronic Engineering, University of NišUniversity of Dortmund, Germany and with the Department of Artificial Intelligence, Technical University of Madrid, SpainA method for optimisation of fixed polarity arithmetic expressions (FPAEs) based on dual polarity is proposed. The method exploits a simple relationship between two FPAEs for dual polarities. It starts from the zero polarity FPAE of the given function and calculates all FPAEs using the dual polarity route. Using one-bit check carries out conversion from one FPAE to another. Each term in an FPAE is processed by the proposed processing rule. Terms, which differ in a single position, can be substituted by a high order term (cube). Experimental results show efficiency of proposed method.http://www.doiserbia.nb.rs/img/doi/1451-4869/2003/1451-48690301071J.pdfoptimisationarithmetic expressionsfixed polaritydual polarity
spellingShingle Janković Dragan
Stanković Radomir S.
Moraga Claudio
Arithmetic expressions optimisation using dual polarity property
Serbian Journal of Electrical Engineering
optimisation
arithmetic expressions
fixed polarity
dual polarity
title Arithmetic expressions optimisation using dual polarity property
title_full Arithmetic expressions optimisation using dual polarity property
title_fullStr Arithmetic expressions optimisation using dual polarity property
title_full_unstemmed Arithmetic expressions optimisation using dual polarity property
title_short Arithmetic expressions optimisation using dual polarity property
title_sort arithmetic expressions optimisation using dual polarity property
topic optimisation
arithmetic expressions
fixed polarity
dual polarity
url http://www.doiserbia.nb.rs/img/doi/1451-4869/2003/1451-48690301071J.pdf
work_keys_str_mv AT jankovicdragan arithmeticexpressionsoptimisationusingdualpolarityproperty
AT stankovicradomirs arithmeticexpressionsoptimisationusingdualpolarityproperty
AT moragaclaudio arithmeticexpressionsoptimisationusingdualpolarityproperty