In Johan Jeuring and Simon Peyton Jones, editors, lecture notes for The Summer School and Workshop on Advanced Functional Programming 2002. LNCS 2638, Springer-Verlag, pages 27-58, 2003.
Many array-centric algorithms from computational science and engineering, especially those based on dynamic and irregular data structures, can be coded rather elegantly in a purely functional style. The challenge, when compared to imperative array languages, is performance.
These lecture notes discuss the shortcomings of Haskell's standard arrays in this context and present an alternative approach that decouples array from list processing and is based on program transformation and generic programming. In particular, we will present (1) an array library that uses type analysis to achieve unboxing and flattening of data structures as well as (2) equational array fusion based on array combinators and compiler-driven rewrite rules. We will make use of a range of advanced language extensions to Haskell, such as multi-parameter type classes, functional dependencies, rewrite rules, unboxed values, and locally state-based computations.
PostScript version (preprint) (32 pages)
The follow up to this work is Data Parallel Haskell.
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