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Computer Science > Programming Languages

arXiv:1512.01898 (cs)
[Submitted on 7 Dec 2015]

Title:A Simple and Practical Linear Algebra Library Interface with Static Size Checking

Authors:Akinori Abe, Eijiro Sumii
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Abstract:Linear algebra is a major field of numerical computation and is widely applied. Most linear algebra libraries (in most programming languages) do not statically guarantee consistency of the dimensions of vectors and matrices, causing runtime errors. While advanced type systems--specifically, dependent types on natural numbers--can ensure consistency among the sizes of collections such as lists and arrays, such type systems generally require non-trivial changes to existing languages and application programs, or tricky type-level programming.
We have developed a linear algebra library interface that verifies the consistency (with respect to dimensions) of matrix operations by means of generative phantom types, implemented via fairly standard ML types and module system. To evaluate its usability, we ported to it a practical machine learning library from a traditional linear algebra library. We found that most of the changes required for the porting could be made mechanically, and changes that needed human thought are minor.
Comments: In Proceedings ML/OCaml 2014, arXiv:1512.01438
Subjects: Programming Languages (cs.PL)
Cite as: arXiv:1512.01898 [cs.PL]
  (or arXiv:1512.01898v1 [cs.PL] for this version)
  https://doi.org/10.48550/arXiv.1512.01898
Journal reference: EPTCS 198, 2015, pp. 1-21
Related DOI: https://doi.org/10.4204/EPTCS.198.1

Submission history

From: EPTCS [view email] [via EPTCS proxy]
[v1] Mon, 7 Dec 2015 03:17:50 UTC (90 KB)
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