Complete exchange algorithms in wormhole-routed torus networks

Abstract

We present efficient ah-to-all personalized communication algorithms for a 2D torus in wormhole-routed networks. Our complete exchange algorithms reduce the number of start-up by a factor of up to 2, which is a good metric for network performance in wormhole networks. Our algorithms divide the whole network into 2 x 2 networks, giving two contention-free networks with N/2 x N/2. After specially designated nodes called master nodes have collected messages, whose destinations are the rest of the basic cells, only master nodes perform complete exchange with a reduced network size. When finished with this complete exchange among master nodes, these nodes distribute messages to the rest of the master nodes, which results in the desired complete exchange. Then, we present a modified algorithm that further reduces the data transmission time sacrificing the start-up time. After we present our new algorithms, we analyze time complexities and compare several algorithms. We show that our practical algorithm is efficient by a factor of 2 in the required start-up time which means that our algorithms are suitable for wormhole-routed networks.