{"title":"ALGORITMO DE BOOTH EN ARIDAD CON MÚLTIPLES OPERANDOS","authors":"J. A. Pérez","doi":"10.17993/3CTIC.2017.64.19-26","DOIUrl":null,"url":null,"abstract":"espanolEl algoritmo dado por Andrew Donald Booth en 1950 (Booth, 1951) para la multiplicacion es potencialmente mas rico y adaptable (Ayuso 2015, pp. 113-119) que solo como fue descrito en principio, pudiendo ser aplicado a mas de un unico operando en una misma operacion que tenga una aridad mayor que 1 (Ayuso 2015, pp. 255-221). De ahi que en el presente documento se mostraran algunas implementaciones que, basandose en dicho concepto, hacen uso simultaneo de la simplificacion de Booth en varios de sus operandos. Se veran las mejoras de rendimiento que puede ofrecer el utilizar, en un mismo calculo, el algoritmo de Booth siendo este aplicado a la vez a varios de los operandos que entran en juego. EnglishThe algorithm given by Andrew Donald Booth in 1950 (Booth, 1951) for multiplication is possibly richer and adaptable (Ayuso 2015, pp. 113-119) than just as it was in the beginning, and can be applied to more than one single operation in a single operation having a greater 1 (Ayuso 2015, pp. 255-221). We will show some implementations that, based on this concept, make simultaneous use of the simplification of Booth in several of its operands. You will see the performance improvements that can be offered by using, in a single calculation, the Booth algorithm being applied simultaneously to several of the operands that come into play.","PeriodicalId":40869,"journal":{"name":"3C Tic","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2018-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"3C Tic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17993/3CTIC.2017.64.19-26","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","Score":null,"Total":0}
引用次数: 0
Abstract
espanolEl algoritmo dado por Andrew Donald Booth en 1950 (Booth, 1951) para la multiplicacion es potencialmente mas rico y adaptable (Ayuso 2015, pp. 113-119) que solo como fue descrito en principio, pudiendo ser aplicado a mas de un unico operando en una misma operacion que tenga una aridad mayor que 1 (Ayuso 2015, pp. 255-221). De ahi que en el presente documento se mostraran algunas implementaciones que, basandose en dicho concepto, hacen uso simultaneo de la simplificacion de Booth en varios de sus operandos. Se veran las mejoras de rendimiento que puede ofrecer el utilizar, en un mismo calculo, el algoritmo de Booth siendo este aplicado a la vez a varios de los operandos que entran en juego. EnglishThe algorithm given by Andrew Donald Booth in 1950 (Booth, 1951) for multiplication is possibly richer and adaptable (Ayuso 2015, pp. 113-119) than just as it was in the beginning, and can be applied to more than one single operation in a single operation having a greater 1 (Ayuso 2015, pp. 255-221). We will show some implementations that, based on this concept, make simultaneous use of the simplification of Booth in several of its operands. You will see the performance improvements that can be offered by using, in a single calculation, the Booth algorithm being applied simultaneously to several of the operands that come into play.
安德鲁·唐纳德·布斯(Andrew Donald Booth)在1950年(Booth,1951年)给出的乘法西班牙算法可能比原则上所描述的更丰富和更具适应性(Ayuso 2015,第113-119页),可以应用于同一个arity大于1的操作中的多个单个操作数(Ayuso 2015,第255-221页)。因此,本文将展示一些基于该概念的实现,这些实现在其多个操作数中同时使用Booth简化。您将看到在同一计算中使用Booth算法可以提供的性能改进,该算法同时应用于几个起作用的操作数。安德鲁·唐纳德·布斯(Andrew Donald Booth)1950年给出的乘法算法(Booth,1951年)可能比刚开始时丰富和自适应(Ayuso 2015,第113-119页),并且可以应用于具有更大1的单个操作中的多个单次操作(Ayuso 2015,第255-221页)。我们将展示一些基于这一概念的实现,这些实现在其几个操作数中同时使用Booth的简化。您将看到在一次计算中使用Booth算法可以提供的性能改进,该算法同时应用于播放的几个操作数。