VLSI layouts of fully connected generalized and pyramid networks with locality exploitation

摘要

VLSI layouts of generalized multi-stage and pyramid networks for broadcast, unicast and multicast connections are presented using only horizontal and vertical links with spacial locality exploitation. The VLSI layouts employ shuffle exchange links where outlet links of cross links from switches in a stage in one sub-integrated circuit block are connected to inlet links of switches in the succeeding stage in another sub-integrated circuit block so that said cross links are either vertical links or horizontal and vice versa. Furthermore the shuffle exchange links are employed between different sub-integrated circuit blocks so that spacially nearer sub-integrated circuit blocks are connected with shorter links compared to the shuffle exchange links between spacially farther sub-integrated circuit blocks. In one embodiment the sub-integrated circuit blocks are arranged in a hypercube arrangement in a two-dimensional plane. The VLSI layouts exploit the benefits of significantly lower cross points, lower signal latency, lower power and full connectivity with significantly fast compilation.;The VLSI layouts with spacial locality exploitation presented are applicable to generalized multi-stage and pyramid networks, generalized folded multi-stage and pyramid networks, generalized butterfly fat tree and pyramid networks, generalized multi-link multi-stage and pyramid networks, generalized folded multi-link multi-stage and pyramid networks, generalized multi-link butterfly fat tree and pyramid networks, generalized hypercube networks, and generalized cube connected cycles networks for speedup of s≧1. The embodiments of VLSI layouts are useful in wide target applications such as FPGAs, CPLDs, pSoCs, ASIC placement and route tools, networking applications, parallel & distributed computing, and reconfigurable computing.

主权项

1. An electrical network on an electrical substrate comprising a plurality of sub-networks corresponding to blocks arranged in a two dimensional layout for a total of a×b said sub-networks with one side of said layout having the size of a sub-networks and the other side of said layout having the size of b sub-networks where a≧1 and b≧1, and
Said electrical network on an electrical substrate comprising at most N1 inlet links and at most N2 outlet links where N1>1 and N2>1 wherein either N2=N1×p2, N1=(a×b)×p, and said each sub-network comprising at most p inlet links and at most p×p2 outlet links; or N1=N2×p1, N2=(a×b)×p, and said each sub-network comprising at most p outlet links and at most p×p1 inlet links, and Said each sub-network comprising at most y stages, starting from the lowest stage of 1 to the highest stage of y, where y≧1; and Said each stage comprising at least one switch of size d×d, where d≧2 and each said switch of size d×d having d incoming links and d outgoing links; and Said each sub-network may not be comprising the same number of said inlet links and may not be comprising the same number of said outlet links; Said each sub-network may not be comprising the same number of said stages; Said each stage may not be comprising the same number of switches; And said each switch in said each stage may not be of the same size d, Said incoming links and said outgoing links in each said switch in said each stage of said each sub-network comprising a plurality of forward connecting links connecting from switches in lower stage to said switches one of succeeding higher stages, and also comprising a plurality of backward connecting links connecting from said switches in higher stage to said switches one of preceding lower stage; and Said forward connecting links comprising a plurality of straight links connecting from a said switch in a said stage in a said sub-network to a said switch in another stage in the same said sub-network and also comprising a plurality of cross links connecting from a said switch in a said stage in a sub-network to a said switch in another said stage in a different said sub-network, and Said backward connecting links comprising a plurality of straight links connecting from a said switch in a said stage in a said sub-network to a said switch in another said stage in the same said sub-network and also comprising a plurality of cross links connecting from a said switch in a said stage in a said sub-network to a said switch in another said stage in a different said sub-network, said all cross links are connecting as either vertical or horizontal links between said switches between each two different said sub-networks, which are either placed vertically above or below, or placed horizontally to the left or to the right.