English

On Faster Integer Calculations using Non-Arithmetic Primitives

Data Structures and Algorithms 2007-09-06 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0709.0624,
  title  = {On Faster Integer Calculations using Non-Arithmetic Primitives},
  author = {Katharina Lürwer-Brüggemeier and Martin Ziegler},
  journal= {arXiv preprint arXiv:0709.0624},
  year   = {2007}
}
R2 v1 2026-06-21T09:14:06.142Z