This is the home page of the SPIRAL project. The goal of SPIRAL is to push the limits of automation in software and hardware development and optimization for digital signal processing (DSP) algorithms and other numerical kernels beyond what is possible with current tools.

Our basic research question is

Can we teach computers to write fast libraries?

Our flagship is the SPIRAL program generation system, which, entirely autonomously, generates platform-tuned implementations of signal processing transform such as the discrete Fourier transform, discrete cosine transform, and many others. Look at a few benchmarks. But we also provide other online generators (see the right column).

SPIRAL addresses one of the current key problems in numerical software and hardware development: how to achieve close to optimal performance with reasonable coding effort? (More detailed problem statement.)

SPIRAL comprises an interdisciplinary team of researchers in the areas of signal processing, algorithms, scientific computing, compilers, computer architecture, and mathematics.

In the domain of linear transform, and for standard multicore platforms (Core 2 Duo like), we have achieved complete automation: the computer generation of general input-size, vectorized, parallel libraries.

Research Threads

Learn Quickly About Spiral

This short article in the recent Encyclopedia of Parallel Computing describes the main ideas behind our program synthesis work for transforms:

  • Markus Püschel, Franz Franchetti and Yevgen Voronenko 
    in Encyclopedia of Parallel Computing, Eds. David Padua, Springer 2011

Good Choice for Citing Spiral (Early Overview Paper)

  • Markus Püschel, José M. F. Moura, Jeremy Johnson, David Padua, Manuela Veloso, Bryan Singer, Jianxin Xiong, Franz Franchetti, Aca Gacic, Yevgen Voronenko, Kang Chen, Robert W. Johnson, and Nick Rizzolo
    SPIRAL: Code Generation for DSP Transforms
    Proceedings of the IEEE special issue on "Program Generation, Optimization, and Adaptation," Vol. 93, No. 2, 2005, pp. 232-275

After this paper we started to attack all forms of parallel platforms and the generation of entire libraries like FFTW. A good reference for the last version of Spiral is the encyclopedia article above.


Online Generators

We provide a number of online generators, which are easy and fun to use or play with.

Online generators currently available

DFT = discrete Fourier transform, DCT = discrete cosine transform.

Browse other software and hardware.

Featured Result


More benchmarks.


If you have questions or comments about SPIRAL or our work in general, please send email to help (at) spiral.net.

Spiral in the Encyclopedia of Parallel Computing
Proceedings IEEE Special Issue
How to Cite SPIRAL
See bottom left of this page.