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FFTW and Matlab*p

FFTW and Matlab*p. Richard Hu 6.338 Project. Outline. Background Work Done and Algorithm Results Q&A. Background. Integrating FFTW into Matlab*p requires translating from block-cyclic distribution to row distribution and back Want to minimize communication and delays. Work Done.

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FFTW and Matlab*p

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  1. FFTW and Matlab*p Richard Hu 6.338 Project

  2. Outline • Background • Work Done and Algorithm • Results • Q&A

  3. Background • Integrating FFTW into Matlab*p requires translating from block-cyclic distribution to row distribution and back • Want to minimize communication and delays

  4. Work Done • Program translates between virtually any block-cyclic distribution and any row distribution • Requires knowledge of positions of blocks and rows for other processors

  5. Algorithm • Clump blocks in the same row together to achieve “temporary” row distribution • Shift rows between processors to achieve “desired” row distribution • Calculate Fourier Transform • Shift rows between processors back to “temporary” row distribution • Divide rows into blocks

  6. Algorithm • Gather positions of blocks and rows for other processors and group into sorted arrays • Iterates through every position in the matrix and determines the sending and receiving processor

  7. Results

  8. Variants • One processor acts as head node, directing sends and receives • Each node keeps track of the rows and columns it should send/receive and all communication is done at the end.

  9. Questions

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