a2) United States Patent
`US 8,898,611 B2
`(10) Patent No.:
`Konda
`Nov. 25, 2014
`(45) Date of Patent:
`
`US008898611B2
`
`(54
`
`(75
`
`VLSI LAYOUTS OF FULLY CONNECTED
`GENERALIZED AND PYRAMID NETWORKS
`WITH LOCALITY EXPLOITATION
`
`(56)
`
`References Cited
`U.S. PATENT DOCUMENTS
`
`Inventor: Venkat Konda, San Jose, CA (US)
`
`4,813,038 A
`5,654,695 A *
`
`3/1989 Lee wien 370/390
`8/1997 Olnowich et al. 00.0... 340/2.23
`
`Assignee: Konda Technologies Inc., San Jose, CA
`(73
`(US)
`Primary Examiner—Suchin Parihar
`
`(Continued)
`
`(22
`
`Notice:
`
`Subject to any disclaimer, the term ofthis
`patent is extended or adjusted under 35
`U.S.C. 154(b) by 116 days.
`
`Appl. No.:
`
`13/502,207
`
`PCTFiled:
`
`Oct. 16, 2010
`
`PCT No::
`
`PCT/US2010/052984
`
`§ 371 (c)(),
`(2), (4) Date:
`
`Apr. 16, 2012
`
`PCT Pub. No.: WO2011/047368
`
`PCT Pub. Date: Apr. 21, 2011
`
`Prior Publication Data
`
`US 2012/0269190 Al
`
`Oct. 25, 2012
`
`Related U.S. Application Data
`
`Provisional application No. 61/252,603, filed on Oct.
`16, 2009, provisional application No. 61/252,609,
`filed on Oct. 16, 2009.
`
`Int. Cl.
`
`G06F 1740
`USS. Cl.
`
`(2006.01)
`
`CPC wee GO6F 17/509 (2013.01); GO6F 17/5054
`(2013.01)
`USPC viecccccccccecsecenseeseeeseseceecessesceeseeseseeaenens 716/121
`Field of Classification Search
`USPC vicecccccsescecenseeteeeseeseecesteeseeensaes 716/100, 121
`See application file for complete search history.
`
`ABSTRACT
`(57)
`VLSIlayouts of generalized multi-stage and pyramid net-
`works for broadcast, unicast and multicast connections are
`presented using only horizontal andvertical links with spacial
`locality cxploitation. The VLSI
`layouts employ shuffle
`exchangelinks whereoutlet links ofcross 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-inte-
`grated circuit blocks are connected with shorter links com-
`pared 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 arrange-
`ment in a two-dimensional plane. The VLSI layouts exploit
`the benefits of significantly lower cross points, lower signal
`latency, lower powerand full connectivity with significantly
`fast compilation.
`The VLSIlayouts with spacial locality exploitation presented
`are applicable to generalized multi-stage and pyramid net-
`works, generalized folded multi-stage and pyramid networks,
`generalized butterfly fat tree and pyramid networks, general-
`ized multi-link multi-stage and pyramid networks, general-
`ized folded multi-link multi-stage and pyramid networks,
`generalized multi-link butterfly fat tree and pyramid net-
`works, generalized hypercube networks, and generalized
`cube connected cycles networks for speedup of s21. The
`embodiments ofVLSI layouts are useful in wide target appli-
`cations such as FPGAs, CPLDs, pSoCs, ASIC placement and
`route tools, networking applications, parallel & distributed
`computing, and reconfigurable computing.
`
`20 Claims, 43 Drawing Sheets
`
`(21
`
`(86
`
`(87)
`
`(65)
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`(60)
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`Page 1 of 79
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`FLEX LOGIX EXHIBIT 1027
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`Page 1 of 79
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`FLEX LOGIX EXHIBIT 1027
`
`

`

`US 8,898,611 B2
`
`Page 2
`
`(56)
`
`References Cited
`
`U.S. PATENT DOCUMENTS
`
`6,185,220 Bl
`6,335,930 BL*
`6,940,308 B2*
`
`2/2001 Muthukrishnan et al.
`.... 370/411
`
`1/2002 Lee we . 370/387
`9/2005 Wong vcccsceresseeneseeeenees 326/41
`
`8,170,040 B2
`8,269,523 B2
`8,270,400 B2
`8,363,649 B2
`2004/0150422 Al*
`
`5/2012 Konda ween 370/408
`9/2012 Konda
`9/2012 Konda wc 370/388
`1/2013 Konda ..
`.. 370/388
`
`2004 Wong voces 326/41
`
`* cited by examiner
`
`Page 2 of 79
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`Page 2 of 79
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`U.S. Patent
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`Nov. 25, 2014
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`Sheet 1 of 43
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`US 8,898,611 B2
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`U.S. Patent
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`Nov. 25, 2014
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`Sheet 2 of 43
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`US 8,898,611 B2
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`U.S. Patent
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`Nov. 25, 2014
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`Sheet 3 of 43
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`US 8,898,611 B2
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`U.S. Patent
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`Nov. 25, 2014
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`Sheet 4 of 43
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`US 8,898,611 B2
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`U.S. Patent
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`Nov. 25, 2014
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`Sheet 5 of 43
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`US 8,898,611 B2
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`U.S. Patent
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`Sheet 6 of 43
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`US 8,898,611 B2
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`U.S. Patent
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`Nov. 25, 2014
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`Sheet 7 of 43
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`US 8,898,611 B2
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`Nov. 25, 2014
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`Sheet 8 of 43
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`US 8,898,611 B2
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`Nov. 25, 2014
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`Sheet 9 of 43
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`Nov. 25, 2014
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`Sheet 10 of 43
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`US 8,898,611 B2
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`Nov. 25, 2014
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`Sheet 11 of 43
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`U.S. Patent
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`Nov. 25, 2014
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`Sheet 12 of 43
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`US 8,898,611 B2
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`U.S. Patent
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`Nov. 25, 2014
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`Sheet 13 of 43
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`US 8,898,611 B2
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`Nov. 25, 2014
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`Sheet 14 of 43
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`US 8,898,611 B2
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`Nov. 25, 2014
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`US 8,898,611 B2
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`U.S. Patent
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`Nov. 25, 2014
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`Sheet 16 of 43
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`US 8,898,611 B2
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`Nov. 25, 2014
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`Sheet 17 of 43
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`U.S. Patent
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`Nov. 25, 2014
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`Sheet 18 of 43
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`US 8,898,611 B2
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`Nov. 25, 2014
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`Nov. 25, 2014
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`U.S. Patent
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`Nov. 25, 2014
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`Sheet 21 of 43
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`US 8,898,611 B2
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`U.S. Patent
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`Nov. 25, 2014
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`Sheet 24 of 43
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`US 8,898,611 B2
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`U.S. Patent
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`Nov. 25, 2014
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`Sheet 25 of 43
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`US 8,898,611 B2
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`Nov. 25, 2014
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`Sheet 26 of 43
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`U.S. Patent
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`09
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`US 8,898,611 B2
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`U.S. Patent
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`Nov. 25, 2014
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`Sheet 27 of 43
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`US 8,898,611 B2
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`U.S. Patent
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`Nov. 25, 2014
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`Sheet 28 of 43
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`US 8,898,611 B2
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`U.S. Patent
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`Nov. 25, 2014
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`Sheet 29 of 43
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`US 8,898,611 B2
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`U.S. Patent
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`Nov. 25, 2014
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`Sheet 30 of 43
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`US 8,898,611 B2
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`U.S. Patent
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`Nov. 25, 2014
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`Sheet 31 of 43
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`US 8,898,611 B2
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`Sheet 32 of 43
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`US 8,898,611 B2
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`U.S. Patent
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`Nov. 25, 2014
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`Sheet 34 of 43
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`US 8,898,611 B2
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