Cache Oblivious Distribution Sweeping

  • Authors:
  • Gerth Stølting Brodal;Rolf Fagerberg

  • Affiliations:
  • -;-

  • Venue:
  • ICALP '02 Proceedings of the 29th International Colloquium on Automata, Languages and Programming
  • Year:
  • 2002

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Abstract

We adapt the distribution sweepingmetho d to the cache oblivious model. Distribution sweepingis the name used for a general approach for divide-and-conquer algorithms where the combination of solved subproblems can be viewed as a merging process of streams. We demonstrate by a series of algorithms for specific problems the feasibility of the method in a cache oblivious setting. The problems all come from computational geometry, and are: orthogonal line segment intersection reporting, the all nearest neighbors problem, the 3D maxima problem, computingthe measure of a set of axis-parallel rectangles, computingthe visibility of a set of line segments from a point, batched orthogonal range queries, and reportingpairwise intersections of axis-parallel rectangles. Our basic buildingblo ck is a simplified version of the cache oblivious sorting algorithm Funnelsort of Frigo et al., which is of independent interest.