Title
Smashing: Folding Space to Tile through Time
Abstract
Partial differential equation solvers spend most of their computation time performing nearest neighbor (stencil) computations on grids that model spatial domains. Tiling is an effective performance optimization for improving the data locality and enabling course-grain parallelization for such computations. However, when the domains are periodic, tiling through time is not directly applicable due to wrap-around dependencies. It is possible to tile within the spatial domain, but tiling across time (i.e. time skewing) is not legal since no constant skewing can render all loops fully permutable. We introduce a technique called smashing that maps a periodic domain to computer memory without creating any wrap-around dependencies. For a periodic cylinder domain where time skewing improves performance, the performance of smashing is comparable to another method, circular skewing, which also handles the periodicity of a cylinder. Unlike circular skewing, smashing can remove wrap-around dependencies for an icosahedron model of earth's atmosphere.
Year
DOI
Venue
2008
10.1007/978-3-540-89740-8_6
LCPC
Keywords
Field
DocType
periodic cylinder domain,effective performance optimization,model spatial domain,computation time,wrap-around dependency,constant skewing,periodic domain,time skewing,folding space,spatial domain,circular skewing,partial differential equation,nearest neighbor
k-nearest neighbors algorithm,Locality,Computer science,Cylinder,Stencil,Parallel computing,Theoretical computer science,Partial differential equation,Computer memory,Periodic graph (geometry),Computation
Conference
Volume
ISSN
Citations 
5335
0302-9743
7
PageRank 
References 
Authors
0.50
11
4
Name
Order
Citations
PageRank
Nissa Osheim1242.07
Michelle Mills Strout242934.06
Dave Rostron3452.52
Sanjay Rajopadhye451839.73