Simulation of Pm21 network By Folded Hypercube

The folded hypercube (FHC) has been shown to be an attractive hypercube-based network with high performance. Owing to its rich interconnections, the FHC can simulate the functions of some other SIMD networks efficiently. In the paper, the simulation of the PM2I (Plus Minus 2I and also known as the barrel shifter) by the FHC is addressed. A model for SIMD machines is adopted to devise some simple simulation algorithms. The simulation algorithms are optimal and easy to implement. Using the suggested algorithms, the FHC can be efficiently used in applications requiring the PM2I topology or PM2I-based networks such as the data manipulator. In addition, it is shown that the FHC can simulate the PM2I in half the time of the n-cube. The tradeoffs involved in using the FHC or the n-cube for simulation is also discussed.< >

[1]  Howard Jay Siegel,et al.  Interconnection networks for large-scale parallel processing: theory and case studies (2nd ed.) , 1985 .

[2]  Tse-Yun Feng Data Manipulating Functions in Parallel Processors and Their Implementations , 1974, IEEE Transactions on Computers.

[3]  John P. Fishburn,et al.  Quotient Networks , 1982, IEEE Transactions on Computers.

[4]  Dhiraj K. Pradhan,et al.  Flip-Trees: Fault-Tolerant Graphs with Wide Containers , 1988, IEEE Trans. Computers.

[5]  Shahram Latifi,et al.  Properties and Performance of Folded Hypercubes , 1991, IEEE Trans. Parallel Distributed Syst..

[6]  Dhiraj K. Pradhan,et al.  A Uniform Representation of Single-and Multistage Interconnection Networks Used in SIMD Machines , 1980, IEEE Transactions on Computers.

[7]  Kai Hwang,et al.  Computer architecture and parallel processing , 1984, McGraw-Hill Series in computer organization and architecture.

[8]  Howard Jay Siegel,et al.  The Extra Stage Cube: A Fault-Tolerant Interconnection Network for Supersystems , 1982, IEEE Transactions on Computers.

[9]  Howard Jay Siegel,et al.  A Model of SIMD Machines and a Comparison of Various Interconnection Networks , 1979, IEEE Transactions on Computers.

[10]  M. H. Schultz,et al.  Topological properties of hypercubes , 1988, IEEE Trans. Computers.