Title
Regular, shape-polymorphic, parallel arrays in Haskell
Abstract
We present a novel approach to regular, multi-dimensional arrays in Haskell. The main highlights of our approach are that it (1) is purely functional, (2) supports reuse through shape polymorphism, (3) avoids unnecessary intermediate structures rather than relying on subsequent loop fusion, and (4) supports transparent parallelisation. We show how to embed two forms of shape polymorphism into Haskell's type system using type classes and type families. In particular, we discuss the generalisation of regular array transformations to arrays of higher rank, and introduce a type-safe specification of array slices. We discuss the runtime performance of our approach for three standard array algorithms. We achieve absolute performance comparable to handwritten C code. At the same time, our implementation scales well up to 8 processor cores.
Year
DOI
Venue
2010
10.1145/1932681.1863582
international conference on functional programming
Keywords
Field
DocType
parallel array,standard array algorithm,regular array transformation,array slice,data parallelism,shape polymorphism,type family,multi-dimensional array,novel approach,type class,haskell,absolute performance,type system,arrays,loop fusion,polymorphism
Loop fusion,Programming language,Functional programming,Computer science,Parallel computing,Algorithm,Type theory,Haskell,Declarative programming,Standard array,Multi-core processor,Parallel array
Conference
Volume
Issue
ISSN
45
9
0362-1340
Citations 
PageRank 
References 
49
1.84
14
Authors
5
Name
Order
Citations
PageRank
Gabriele Keller165736.02
Manuel M. T. Chakravarty266641.89
Roman Leshchinskiy332614.89
Simon L. Peyton Jones45036381.19
Ben Lippmeier51357.99