Abstract
Multi-dimensional integrals of products of several arrays arise in certain scientific computations. In the context of these integral calculations, this paper addresses a memory usage minimization problem. Based on a framework that models the relationship between loop fusion and memory usage, we propose an algorithm for finding a loop fusion configuration that minimizes memory usage. A practical example shows the performance improvement obtained by our algorithm on an electronic structure computation.
Supported in part by the National Science Foundation under grant DMR-9520319.
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Lam, CC., Cociorva, D., Baumgartner, G., Sadayappan, P. (2000). Optimization of Memory Usage Requirement for a Class of Loops Implementing Multi-dimensional Integrals. In: Carter, L., Ferrante, J. (eds) Languages and Compilers for Parallel Computing. LCPC 1999. Lecture Notes in Computer Science, vol 1863. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44905-1_22
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DOI: https://doi.org/10.1007/3-540-44905-1_22
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