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1、Application-specific Topology-aware Mapping for Three Dimensional Topologies,Abhinav Bhatel Laxmikant V. Kal,2,Outline,Motivation The Mapping Problem Static Mapping: 3D Stencil Load Balancing: NAMD Future Work,3,The network latency for wormhole routing is (Lf/B)*D + L/B Lf = Length of each flit, B =
2、 bandwidth D = number of hops, L = length of message Lionel M. Ni and Philip K. McKinley, “A Survey of Wormhole Routing Techniques in Direct Networks”, Computer, Volume 26,Issue 2, pages 62-76, 1993,4,Message Latencies,NN = Near Neighbor, RND = Random,5,Hardware Latencies,Blue Gene/L Near neighbor:
3、1 s Worst case: 7 s Blue Gene/P Near neighbor: 1 s Worst case: 5 s Corresponding differences for MPI messages,6,Topology-aware mapping,Problem: Given a object communication graph and a processor graph, find an optimal mapping Minimizes communication Ensure load balance Metric for communication traff
4、ic Hop-bytes = number of links (hops) traversed X message size,7,Machine Topology,Information required at runtime No. of processors in the allocated partition No. of processors along each dimension Physical coordinates of each processor,8,9,Communication Graph,Static 3D Stencil: regular communicatio
5、n graph Dynamic Molecular dynamics application Changes as atoms migrate from one processor to another,10,Static Graph - 3D Stencil,11,Performance,12,Hop counts,13,Dynamic Graph - NAMD,Molecular Dynamics (MD) application Simulation box is a 3D cell full of atoms,14,15,Load Balancing in NAMD,Measureme
6、nt-based (Charm+) Principle of persistence Patches are statically mapped Orthogonal recursive bisection Computes can be migrated Load balancing framework gathers the communication information Goal Minimize communication Maximize load balance,16,17,Old strategy,Greedy approach Pick the heaviest compu
7、te Place it on a processor with one of the patches OR On a processor which already has a compute for this patch,18,19,Hop-bytes,17 ,20,Future Work,Reason for contention Heavy communication exceeding bandwidth Link contention (such as in deterministic routing) Use UPC/PAPI on Blue Gene/L and P,21,Fut
8、ure Work,Automatic Mapping Initial Static Mapping Use case meshing applications Extend work on the Charm+ load balancers Section-multicast aware load balancers Useful in matrix multiplication,22,Future Work,Optimization on other topologies SiCortex (Kautz Graph) Infiniband clusters (Fat-tree,23,Summary,Topology mapping helps! Especially hea
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