截断乘数的精确短乘积

IF 1.5 4区计算机科学 Q4 COMPUTER SCIENCE, HARDWARE & ARCHITECTURE

Computer Journal Pub Date : 2023-10-11 DOI:10.1093/comjnl/bxad077

Daniel Lemire

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引用次数: 0

摘要

我们有时需要计算需要大量存储空间的小整数乘积的最高有效位数，例如大整数(例如$5^{100}$)或无理数($\pi $)。只要整数足够小，我们只需要访问乘数的最高有效位数。我们提供了一种有效的算法来计算给定截断乘数和所需位数的整数范围。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Exact Short Products From Truncated Multipliers

Abstract We sometimes need to compute the most significant digits of the product of small integers with a multiplier requiring much storage, e.g. a large integer (e.g. $5^{100}$) or an irrational number ($\pi $). We only need to access the most significant digits of the multiplier—as long as the integers are sufficiently small. We provide an efficient algorithm to compute the range of integers given a truncated multiplier and a desired number of digits.

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来源期刊

Computer Journal 工程技术-计算机：软件工程

CiteScore

3.60

自引率

7.10%

发文量

164

审稿时长

4.8 months

期刊介绍： The Computer Journal is one of the longest-established journals serving all branches of the academic computer science community. It is currently published in four sections.