All-to-All Communication on the Connection Machine CM-200

Abstract

Detailed algorithms for all-to-all broadcast and reduction are given for arrays mapped by binary or binary-reflected Gray code encoding to the processing nodes of binary cube networks. Algorithms are also given for the local computation of the array indices for the communicated data, thereby reducing the demand for the communications bandwidth. For the Connection Machine system CM-200, Hamiltonian cycle-based all-to-all communication algorithms yield a performance that is a factor of 2 to 10 higher than the performance offered by algorithms based on trees, butterfly networks, or the Connection Machine router. The peak data rate achieved for all-to-all broadcast on a 2,048-node Connection Machine system CM-200 is 5.4 Gbyte/s. The index order of the data in local memory depends on implementation details of the algorithms, but it is well defined. If a linear ordering is desired, then including the time for local data reordering reduces the effective peak data rate to 2.5 Gbyte/s.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jan 01, 1995
Source ID
10.1155/1995/637864

Entities

People

  • Kapil K. Mathur
  • S. Lennart Johnsson

Organizations

  • Air Force Office of Scientific Research
  • University of Houston

Tags

Fields of Study

  • Computer science

Readers

  • Computer Networking
  • Operations Research
  • Parallel and Distributed Computing.