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Generating Parallel Transforms Using Spiral

Spiral (www.spiral.net) is a program generation system for linear transforms such as the discrete Fourier transform, discrete cosine transforms, filters, and others. For a user-selected transform, Spiral autonomously generates different algorithms, represented in a declarative form as mathematical formulas, and their implementations to find the best match to the given target platform. Besides the search, Spiral performs deterministic optimizations on the formula level effectively restructuring the code in ways unpractical at the code level. In this talk we give a short overview on Spiral and explain then how Spiral generates efficient programs for parallel platforms including vector architectures, shared and distributed memory platforms, and GPUs. As all optimizations in Spiral, parallelization