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arXiv 0709.0624cs.DS
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关于使用非算术基元的更快的递归计算

On Faster Integer Calculations using Non-Arithmetic Primitives

Katharina Lürwer-Brüggemeier, Martin Ziegler

摘要:

单位成本模型对于描述(+,*)上的整数决策算法既方便又很现实。额外的运算,如带余数的除法或按位合取,虽然同样受到计算硬件的支持,但可能会导致复杂性的显著下降。我们展示了各种具体的问题,受益于这种非算术原语提出和分析相应的快速算法。

英文摘要:

The unit cost model is both convenient and largely realistic for describing integer decision algorithms over (+,*). Additional operations like division with remainder or bitwise conjunction, although equally supported by computing hardware, may lead to a considerable drop in complexity. We show a variety of concrete problems to benefit from such NON-arithmetic primitives by presenting and analyzing corresponding fast algorithms.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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