Efficient implementation of a multidimensional fast fourier transform on a distributed-memory parallel multi-node computer

Patent · Tue Jan 01 04:00:00 EST 2008

OSTI ID:921629

Bhanot, Gyan V ^[1]; Chen, Dong ^[2]; Gara, Alan G ^[3]; Giampapa, Mark E ^[4]; Heidelberger, Philip ^[5]; Steinmacher-Burow, Burkhard D ^[3]; Vranas, Pavlos M ^[6]

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1. Princeton, NJ
2. Croton-On-Hudson, NY
3. Mount Kisco, NY
4. Irvington, NY
5. Cortlandt Manor, NY
6. Bedford Hills, NY

The present in invention is directed to a method, system and program storage device for efficiently implementing a multidimensional Fast Fourier Transform (FFT) of a multidimensional array comprising a plurality of elements initially distributed in a multi-node computer system comprising a plurality of nodes in communication over a network, comprising: distributing the plurality of elements of the array in a first dimension across the plurality of nodes of the computer system over the network to facilitate a first one-dimensional FFT; performing the first one-dimensional FFT on the elements of the array distributed at each node in the first dimension; re-distributing the one-dimensional FFT-transformed elements at each node in a second dimension via "all-to-all" distribution in random order across other nodes of the computer system over the network; and performing a second one-dimensional FFT on elements of the array re-distributed at each node in the second dimension, wherein the random order facilitates efficient utilization of the network thereby efficiently implementing the multidimensional FFT. The "all-to-all" re-distribution of array elements is further efficiently implemented in applications other than the multidimensional FFT on the distributed-memory parallel supercomputer.

• Research Organization: Lawrence Livermore National Laboratory (LLNL), Livermore, CA
• Sponsoring Organization: United States Department of Energy
• DOE Contract Number: W-7405-ENG-48
• Assignee: International Business Machines Corporation (Armonk, NY)
• Patent Number(s): 7,315,877
• Application Number: 10/468,998
• OSTI ID: 921629
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING