The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
A fast Fourier transform compiler
Abstract
The FFTW library for computing the discrete Fourier transform (DFT) has gained a wide acceptance in both academia and industry, because it provides excellent performance on a variety of machines (even competitive with or faster than equivalent libraries supplied by vendors). In FFTW, most of the performance-critical code was generated automatically by a special-purpose compiler, called genfft, that outputs C code. Written in Objective Caml, genfft can produce DFT programs for any input length, and it can specialize the DFT program for the common case where the input data are real instead of complex. Unexpectedly, genfft "discovered" algorithms that were previously unknown, and it was able to reduce the arithmetic complexity of some other existing algorithms. This paper describes the internals of this special-purpose compiler in some detail, and it argues that a specialized compiler is a valuable tool.
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Citations
Cites
An algorithm for the machine calculation of complex Fourier series
Cooley, J. W., & Tukey, J. W. (1965) · Mathematics of Computation · doi:10.1090/s0025-5718-1965-0178586-1 · Cited by 13,154
Cited by
The Design and Implementation of FFTW3
Frigo, M., & Johnson, S. G. (2005) · Proceedings of the IEEE · doi:10.1109/jproc.2004.840301 · Cited by 5,086
Self-citationAutomated empirical optimizations of software and the ATLAS project
Clint Whaley, R., Petitet, A., & Dongarra, J. J. (2001) · Parallel Computing · doi:10.1016/s0167-8191(00)00087-9 · Cited by 1,317
SPIRAL: Code Generation for DSP Transforms
Puschel, M., Moura, J. M. F., Johnson, J. R., Padua, D., Veloso, M. M., Singer, B. W., Xiong, J., Franchetti, F., Gacic, A., Voronenko, Y., et al. (2005) · Proceedings of the IEEE · doi:10.1109/jproc.2004.840306 · Cited by 826
Auto-tuning a high-level language targeted to GPU codes
Grauer-Gray, S., Xu, L., Searles, R., Ayalasomayajula, S., & Cavazos, J. (2012) · 2012 Innovative Parallel Computing (InPar) · doi:10.1109/inpar.2012.6339595 · Cited by 470
A modified split-radix fft with fewer arithmetic operations
Johnson, S. G., & Frigo, M. (2007) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2006.882087 · Cited by 380
Self-citation
Metadata
- Authors
- Frigo, M.
- Venue
- Proceedings of the ACM SIGPLAN 1999 conference on Programming language design and implementation
- Publisher
- ACM
- Published
- 1999-05
- Pages
- 169-180
- ISSN
- 1531-7102 (ISSN-L)
- OpenAlex
- W2164197394
- Cited by
- 438
- References
- 1
- FWCI
- 8.42
- Type
- conference paper
- Language
- en
- Open access
- closed
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- Frigo, M. (1999). A fast Fourier transform compiler. Proceedings of the ACM SIGPLAN 1999 conference on Programming language design and implementation. https://doi.org/10.1145/301618.301661
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
