This paper shows that an n=2^k processor Partitioned Optical Passive Stars (POPS) network with g groups and d processors per group can simulate either a mono-directional move of an n processor hypercube or a bi-directional move of an n/2 processor hypercube using one slot when d=1 and ⌈d/g ⌉ slots when d>1. Moreover, as a direct application of the simulation, it is shown how a POPS(d, g) network, n=dg and d ≤ q, can compute the prefix sums of n data values in log_2 n + O(1) slots, faster than the best previously known ad-hoc algorithm for this problem.

Mapping hypercube computations onto Partitioned Optical Passive Star Networks

RIZZI, ROMEO
2003

Abstract

This paper shows that an n=2^k processor Partitioned Optical Passive Stars (POPS) network with g groups and d processors per group can simulate either a mono-directional move of an n processor hypercube or a bi-directional move of an n/2 processor hypercube using one slot when d=1 and ⌈d/g ⌉ slots when d>1. Moreover, as a direct application of the simulation, it is shown how a POPS(d, g) network, n=dg and d ≤ q, can compute the prefix sums of n data values in log_2 n + O(1) slots, faster than the best previously known ad-hoc algorithm for this problem.
3540206264
POPS network; Partitioned Optical Passive Stars network; hypercube simulation
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11562/435326
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