Abstract
Mathematics of Arrays (MoA) concerns the formal description of algorithms working on arrays of data and their efficient and effective implementation in software and hardware. Since (multidimensional) arrays are one of the most important data structures in Fortran, as witnessed by their native support in its language and the numerous operations and functions that take arrays as inputs and outputs, it is natural to examine how Fortran can be used as an implementation language for MoA. This article presents the first results, both in terms of code and of performance, regarding this union. It may serve as a basis for further research, both with respect to the formal theory of MoA and to improving the practical implementation of array-based algorithms.
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