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Franz Franchetti, Frédéric de Mesmay, Daniel McFarlin and Markus Püschel (Proc. IFIP Working Conference on Domain Specific Languages (DSL WC), Lecture Notes in Computer Science, Springer, Vol. 5658, pp. 385-410, 2009)
Operator Language: A Program Generation Framework for Fast Kernels
Comment: Best paper award (3 out of 18)
Preprint (511 KB)
Bibtex

We present the Operator Language (OL), a framework to automatically generate fast numerical kernels. OL provides the structure to extend the program generation system Spiral beyond the transform domain. Using OL, we show how to automatically generate library functionality for the fast Fourier transform and multiple non-transform kernels, including matrix-matrix multiplication, synthetic aperture radar (SAR), circular convolution, sorting networks, and Viterbi decoding. The control flow of the kernels is data-independent, which allows us to cast their algorithms as operator expressions. Using rewriting systems, a structural architecture model and empirical search, we automatically generate very fast C implementations for state-of-the-art multicore CPUs that rival hand-tuned implementations.

Keywords:
Learn the current Spiral system, SIMD vectorization, Spiral overview paper, Numerical kernels we consider, Beyond transforms, Linear algebra, Parallel processing