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International Journal of High Performance Computing Applications
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Spiral: A Generator for Platform-Adapted Libraries of Signal Processing Alogorithms

Markus Püschel

José M. F. Moura

DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING CARNEGIE MELLON UNIVERSITY, PITTSBURGH, PA 15213-3890, USA

Bryan Singer

716 QUIET POND CT., ODENTON, MD 21113, USA

Jianxin Xiong

33315 DIGITAL COMPUTER LABORATORY, 1304 W SPRINGFIELD AVE, URBANA, IL 61801, USA

Jeremy Johnson

DEPARTMENT OF COMPUTER SCIENCE, DREXEL UNIVERSITY PHILADELPHIA, PA 19104-2875, USA

David Padua

DEPARTMENT OF COMPUTER SCIENCE, UNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN 3318 DIGITAL COMPUTER LABORATORY, URBANA, IL 61801, USA

Manuela Veloso

SCHOOL OF COMPUTER SCIENCE, CARNEGIE MELLON UNIVERSITY, PITTSBURGH, PA 15213-3890, USA

Robert W. Johnson

3324 21ST AVE. SOUTH ST. CLOUD, MN 56301, USA

SPIRAL is a generator for libraries of fast software implementations of linear signal processing transforms. These libraries are adapted to the computing platform and can be re-optimized as the hardware is upgraded or replaced. This paper describes the main components of SPIRAL: the mathematical framework that concisely describes signal transforms and their fast algorithms; the formula generator that captures at the algorithmic level the degrees of freedom in expressing a particular signal processing transform; the formula translator that encapsulates the compilation degrees of freedom when translating a specific algorithm into an actual code implementation; and, finally, an intelligent search engine that finds within the large space of alternative formulas and implementations the "best" match to the given computing platform. We present empirical data that demonstrate the high performance of SPIRAL generated code.

Key Words: program generation • automatic performance tuning • signal processing • domain-specific language • signal transform • Fourier transform • DFT • FFT • seach • optimization

International Journal of High Performance Computing Applications, Vol. 18, No. 1, 21-45 (2004)
DOI: 10.1177/1094342004041291
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