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Conference Papers Year : 2014

On Characterizing the Data Access Complexity of Programs


Technology trends will cause data movement to account for the majority of energy expenditure and execution time on emerging computers. Therefore, computational complexity will no longer be a sufficient metric for comparing algorithms, and a fundamental characterization of data access complexity will be increasingly important. The problem of developing lower bounds for data access complexity has been modeled using the formalism of Hong \& Kung's red/blue pebble game for computational directed acyclic graphs (CDAGs). However, previously developed approaches to lower bounds analysis for the red/blue pebble game are very limited in effectiveness when applied to CDAGs of real programs, with computations comprised of multiple sub-computations with differing DAG structure. We address this problem by developing an approach for effectively composing lower bounds based on graph decomposition. We also develop a static analysis algorithm to derive the asymptotic data-access lower bounds of programs, as a function of the problem size and cache size.
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hal-01104556 , version 1 (17-01-2015)


  • HAL Id : hal-01104556 , version 1


Venmugil Elango, Fabrice Rastello, Louis-Noël Pouchet, Jagannathan Ramanujam, Ponnuswamy Sadayappan. On Characterizing the Data Access Complexity of Programs. 42nd Annual {ACM} {SIGPLAN-SIGACT} Symposium on Principles of Programming Languages, {POPL} 2015, Jan 2015, Mumbai, India. pp.567-580. ⟨hal-01104556⟩
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