On Faster Integer Calculations Using Non-arithmetic Primitives

On Faster Integer Calculations Using Non-arithmetic Primitives
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关于使用非算术基元进行更快的整数计算

DOI:
10.1007/978-3-540-85194-3_11
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发表时间:
2007
期刊:
SIAM Rev.
影响因子:
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通讯作者:
M. Ziegler
M. Ziegler
中科院分区:
--
文献类型:
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作者:
Katharina Lürwer;M. Ziegler

文献摘要

被引文献

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单位代价模型是描述+,×上整数决策算法的一种方便而又现实的方法.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,受益于这些非算术原语提出和分析相应的快速算法。
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.