JFP 13 (6): 1005–1059, November 2003. c 2003 Cambridge University Press 1005 DOI: 10.1017/S0956796802004458 Printed in the United Kingdom Single Assignment C: efficient support for high-level array operations in a functional setting SVEN-BODO SCHOLZ Institut fur¨ Informatik und Praktische Mathematik, Christian-Albrechts-Universitat¨ Kiel, Herman-Rodewald-Strasse 3, 24118 Kiel, Germany (e-mail:
[email protected]) Abstract This paper presents a novel approach for integrating arrays with access time O(1) into functional languages. It introduces n-dimensional arrays combined with a type system that supports hierarchies of array types with varying shape information as well as a shape- invariant form of array comprehension called with-loop. Together, these constructs allow for a programming style similar to that of array programming languages such as Apl.We use Single Assignment C (SaC), a functional C-variant aimed at numerical applications that is based on the proposed design, to demonstrate that programs written in that style can be compiled to code whose runtime performance is competitive with that of hand-optimized Fortran programs. However, essential prerequisites for such performance figures are a shape inference system integrated in the type system as well as several high-level optimizations. Most notably of these is With Loop Folding,anoptimization technique for eliminating intermediate arrays. Capsule Review To me as a compiler writer, this work is unusually interesting because it transforms scientific code in ways that have not been considered in high-performance compilers. For example, because of the single-assignment nature of the language, loop fusion and array contraction can be done without loop alignment or data liveness analysis.