Fast Post-placement Rewiring Using Easily Detectable Functional Symmetries

Timing convergence problem arises when the estimations made during logic synthesis can not be met during physical design. In this paper, an efficient rewiring engine is proposed to explore maximal freedom after placement. The most important feature of this approach is that the existing placement solution is left intact throughout the optimization. A linear time algorithm is proposed to detect functional symmetries in the Boolean network and is used as the basis for rewiring. Integration with an existing gate sizing algorithm further proves the effectiveness of our technique. Experimental results are very promising

FPGA technology mapping optimizaion by rewiring algorithms.

Tang Wai Chung.Thesis (M.Phil.)--Chinese University of Hong Kong, 2005.Includes bibliographical references (leaves 40-41).Abstracts in English and Chinese.Abstract --- p.iAcknowledgement --- p.iiiChapter 1 --- Introduction --- p.1Chapter 2 --- Rewiring Algorithms --- p.3Chapter 2.1 --- REWIRE --- p.5Chapter 2.2 --- RAMFIRE --- p.7Chapter 2.3 --- GBAW --- p.8Chapter 3 --- FPGA Technology Mapping --- p.11Chapter 3.1 --- Problem Definition --- p.13Chapter 3.2 --- Network-flow-based Algorithms for FPGA Technology Mapping --- p.16Chapter 3.2.1 --- FlowMap --- p.16Chapter 3.2.2 --- FlowSYN --- p.21Chapter 3.2.3 --- CutMap --- p.22Chapter 4 --- LUT Minimization by Rewiring --- p.24Chapter 4.1 --- Greedy Decision Heuristic for LUT Minimization --- p.27Chapter 4.2 --- Experimental Result --- p.28Chapter 5 --- Conclusion --- p.38Bibliography --- p.4

A Minimum Cut Based Re-synthesis Approach

A new re-synthesis approach that benefits from min-cut based partitioning is proposed. This divide and conquer approach is shown to improve the performance of existing synthesis tools on a variety of benchmarks

Improving rewiring scheme and its applications on various circuit design problems.

Lo Wing Hang.Thesis (M.Phil.)--Chinese University of Hong Kong, 2005.Includes bibliographical references (leaves 60-61).Abstracts in English and Chinese.Abstract --- p.iChapter 1 --- Introduction --- p.1Chapter 2 --- Preliminaries --- p.5Chapter 2.1 --- Backgrounds and Definitions --- p.5Chapter 2.1.1 --- Boolean Network --- p.5Chapter 2.1.2 --- Transitive Fanin and Fanout Cone --- p.6Chapter 2.1.3 --- Controlling and Sensitizing Values --- p.6Chapter 2.1.4 --- Stuck-at Faults and Test Generation --- p.6Chapter 2.1.5 --- Mandatory Assignments --- p.8Chapter 2.2 --- Review of ATPG-based Rewiring --- p.9Chapter 3 --- Improved Single-Pass Rewiring Scheme Using Inconsistent Assignments --- p.14Chapter 3.1 --- Introduction --- p.14Chapter 3.2 --- Overview of FIRE --- p.15Chapter 3.3 --- Alternative Wire Identification Method --- p.17Chapter 3.3.1 --- Identifying Candidate Wires --- p.17Chapter 3.3.2 --- Redundancy Test on Candidate Wire --- p.18Chapter 3.4 --- Redundancy Identification Using Inconsistent Assignments --- p.21Chapter 3.5 --- Experimental Results --- p.26Chapter 3.6 --- Conclusions --- p.28Chapter 4 --- Improving Circuit Partitioning With Rewiring Techniques --- p.29Chapter 4.1 --- Introduction --- p.29Chapter 4.2 --- Implementation of Rewiring Schemes --- p.31Chapter 4.3 --- Coupling Partitioning Algorithm With Rewiring Techniques --- p.33Chapter 4.4 --- Experimental Results --- p.37Chapter 4.5 --- Conclusions --- p.43Chapter 5 --- Circuit Logic Level Reduction by Rewiring for FPGA Mapping --- p.45Chapter 5.1 --- Introduction --- p.45Chapter 5.2 --- Overview of the Technology Mapping Problem --- p.47Chapter 5.2.1 --- Problem Formulation --- p.47Chapter 5.2.2 --- FlowMap Algorithm Outline --- p.49Chapter 5.3 --- Logic Level Reduction by Rewiring Transformations --- p.51Chapter 5.4 --- Experimental Results --- p.54Chapter 5.5 --- Conclusions --- p.57Chapter 6 --- Conclusions and Future Works --- p.58Bibliography --- p.6

Rewired retiming for flip-flop reduction and low power without delay penalty.

Jiang, Mingqi.Thesis (M.Phil.)--Chinese University of Hong Kong, 2009.Includes bibliographical references (leaves [49]-51).Abstract also in Chinese.Abstract --- p.iAcknowledgement --- p.iiiChapter 1 --- Introduction --- p.1Chapter 2 --- Rewiring Background --- p.4Chapter 2.1 --- REWIRE --- p.6Chapter 2.2 --- GBAW --- p.7Chapter 3 --- Retiming --- p.9Chapter 3.1 --- Min-Clock Period Retiming --- p.9Chapter 3.2 --- Min-Area Retiming --- p.17Chapter 3.3 --- Retiming for Low Power --- p.18Chapter 3.4 --- Retiming with Interconnect Delay --- p.22Chapter 4 --- Rewired Retiming for Flip-flop Reduction --- p.26Chapter 4.1 --- Motivation and Problem Formulation --- p.26Chapter 4.2 --- Retiming Indication --- p.29Chapter 4.3 --- Target Wire Selection --- p.31Chapter 4.4 --- Incremental Placement Update --- p.33Chapter 4.5 --- Optimization Flow --- p.36Chapter 4.6 --- Experimental Results --- p.38Chapter 5 --- Power Analysis for Rewired Retiming --- p.41Chapter 5.1 --- Power Model --- p.41Chapter 5.2 --- Experimental Results --- p.44Chapter 6 --- Conclusion --- p.47Bibliography --- p.5

Logic perturbation based circuit partitioning and optimum FPGA switch-box designs.

Cheung Chak Chung.Thesis (M.Phil.)--Chinese University of Hong Kong, 2001.Includes bibliographical references (leaves 101-114).Abstracts in English and Chinese.Abstract --- p.iAcknowledgments --- p.iiiVita --- p.vTable of Contents --- p.viList of Figures --- p.xList of Tables --- p.xivChapter 1 --- Introduction --- p.1Chapter 1.1 --- Motivation --- p.1Chapter 1.2 --- Aims and Contribution --- p.4Chapter 1.3 --- Thesis Overview --- p.5Chapter 2 --- VLSI Design Cycle --- p.6Chapter 2.1 --- Logic Synthesis --- p.7Chapter 2.1.1 --- Logic Minimization --- p.8Chapter 2.1.2 --- Technology Mapping --- p.8Chapter 2.1.3 --- Testability --- p.8Chapter 2.2 --- Physical Design Synthesis --- p.8Chapter 2.2.1 --- Partitioning --- p.9Chapter 2.2.2 --- Floorplanning & Placement --- p.10Chapter 2.2.3 --- Routing --- p.11Chapter 2.2.4 --- "Compaction, Extraction & Verification" --- p.12Chapter 2.2.5 --- Physical Design of FPGAs --- p.12Chapter 3 --- Alternative Wiring --- p.13Chapter 3.1 --- Introduction --- p.13Chapter 3.2 --- Notation and Definitions --- p.15Chapter 3.3 --- Application of Rewiring --- p.17Chapter 3.3.1 --- Logic Optimization --- p.17Chapter 3.3.2 --- Timing Optimization --- p.17Chapter 3.3.3 --- Circuit Partitioning and Routing --- p.18Chapter 3.4 --- Logic Optimization Analysis --- p.19Chapter 3.4.1 --- Global Flow Optimization --- p.19Chapter 3.4.2 --- OBDD Representation --- p.20Chapter 3.4.3 --- Automatic Test Pattern Generation (ATPG) --- p.22Chapter 3.4.4 --- Graph Based Alternative Wiring (GBAW) --- p.23Chapter 3.5 --- Augmented GBAW --- p.26Chapter 3.6 --- Logic Optimization by using GBAW --- p.28Chapter 3.7 --- Conclusions --- p.31Chapter 4 --- Multi-way Partitioning using Rewiring Techniques --- p.33Chapter 4.1 --- Introduction --- p.33Chapter 4.2 --- Circuit Partitioning Algorithm Analysis --- p.38Chapter 4.2.1 --- The Kernighan-Lin (KL) Algorithm --- p.39Chapter 4.2.2 --- The Fiduccia-Mattheyses (FM) Algorithm --- p.42Chapter 4.2.3 --- Geometric Representation Algorithm --- p.46Chapter 4.2.4 --- The Multi-level Partitioning Algorithm --- p.49Chapter 4.2.5 --- Hypergraph METIS - hMETIS --- p.51Chapter 4.3 --- The GBAW Partitioning Algorithm --- p.53Chapter 4.4 --- Experimental Results --- p.56Chapter 4.5 --- Conclusions --- p.58Chapter 5 --- Optimum FPGA Switch-Box Designs - HUSB --- p.62Chapter 5.1 --- Introduction --- p.62Chapter 5.2 --- Background and Definitions --- p.65Chapter 5.2.1 --- Routing Architectures --- p.65Chapter 5.2.2 --- Global Routing --- p.67Chapter 5.2.3 --- Detailed Routing --- p.67Chapter 5.3 --- FPGA Router Comparison --- p.69Chapter 5.3.1 --- CGE --- p.69Chapter 5.3.2 --- SEGA --- p.70Chapter 5.3.3 --- TRACER --- p.71Chapter 5.3.4 --- VPR --- p.72Chapter 5.4 --- Switch Box Design --- p.73Chapter 5.4.1 --- Disjoint type switch box (XC4000-type) --- p.73Chapter 5.4.2 --- Anti-symmetric switch box --- p.74Chapter 5.4.3 --- Universal Switch box --- p.74Chapter 5.4.4 --- Switch box Analysis --- p.75Chapter 5.5 --- Terminology --- p.77Chapter 5.6 --- "Hyper-universal (4, W)-design analysis" --- p.82Chapter 5.6.1 --- "H3 is an optimum (4, 3)-design" --- p.84Chapter 5.6.2 --- "H4 is an optimum (4,4)-design" --- p.88Chapter 5.6.3 --- "Hi is a hyper-universal (4, i)-design for i = 5,6,7" --- p.90Chapter 5.7 --- Experimental Results --- p.92Chapter 5.8 --- Conclusions --- p.95Chapter 6 --- Conclusions --- p.99Chapter 6.1 --- Thesis Summary --- p.99Chapter 6.2 --- Future work --- p.100Chapter 6.2.1 --- Alternative Wiring --- p.100Chapter 6.2.2 --- Partitioning Quality --- p.100Chapter 6.2.3 --- Routing Devices Studies --- p.100Bibliography --- p.101Chapter A --- 5xpl - Berkeley Logic Interchange Format (BLIF) --- p.115Chapter B --- Proof of some 2-local patterns --- p.122Chapter C --- Illustrations of FM algorithm --- p.124Chapter D --- HUSB Structures --- p.127Chapter E --- Primitive minimal 4-way global routing Structures --- p.13

Efficient alternative wiring techniques and applications.

Sze, Chin Ngai.Thesis (M.Phil.)--Chinese University of Hong Kong, 2001.Includes bibliographical references (leaves 80-84) and index.Abstracts in English and Chinese.Abstract --- p.iAcknowledgments --- p.iiiCurriculum Vitae --- p.ivList of Figures --- p.ixList of Tables --- p.xiiChapter 1 --- Introduction --- p.1Chapter 1.1 --- Motivation and Aims --- p.1Chapter 1.2 --- Contribution --- p.8Chapter 1.3 --- Organization of Dissertation --- p.10Chapter 2 --- Definitions and Notations --- p.11Chapter 3 --- Literature Review --- p.15Chapter 3.1 --- Logic Reconstruction --- p.15Chapter 3.1.1 --- SIS: A System for Sequential and Combinational Logic Synthesis --- p.16Chapter 3.2 --- ATPG-based Alternative Wiring --- p.17Chapter 3.2.1 --- Redundancy Addition and Removal for Logic Optimization --- p.18Chapter 3.2.2 --- Perturb and Simplify Logic Optimization --- p.18Chapter 3.2.3 --- REWIRE --- p.21Chapter 3.2.4 --- Implication-tree Based Alternative Wiring Logic Trans- formation --- p.22Chapter 3.3 --- Graph-based Alternative Wiring --- p.24Chapter 4 --- Implication Based Alternative Wiring Logic Transformation --- p.25Chapter 4.1 --- Source Node Implication --- p.25Chapter 4.1.1 --- Introduction --- p.25Chapter 4.1.2 --- Implication Relationship and Implication-tree --- p.25Chapter 4.1.3 --- Selection of Alternative Wire Based on Implication-tree --- p.29Chapter 4.1.4 --- Implication-tree Based Logic Transformation --- p.32Chapter 4.2 --- Destination Node Implication --- p.35Chapter 4.2.1 --- Introduction --- p.35Chapter 4.2.2 --- Destination Node Relationship --- p.35Chapter 4.2.3 --- Destination Node Implication-tree --- p.39Chapter 4.2.4 --- Selection of Alternative Wire --- p.41Chapter 4.3 --- The Algorithm --- p.43Chapter 4.3.1 --- IB AW Implementation --- p.43Chapter 4.3.2 --- Experimental Results --- p.43Chapter 4.4 --- Conclusion --- p.45Chapter 5 --- Graph Based Alternative Wiring Logic Transformation --- p.47Chapter 5.1 --- Introduction --- p.47Chapter 5.2 --- Notations and Definitions --- p.48Chapter 5.3 --- Alternative Wire Patterns --- p.50Chapter 5.4 --- Construction of Minimal Patterns --- p.54Chapter 5.4.1 --- Minimality of Patterns --- p.54Chapter 5.4.2 --- Minimal Pattern Formation --- p.56Chapter 5.4.3 --- Pattern Extraction --- p.61Chapter 5.5 --- Experimental Results --- p.63Chapter 5.6 --- Conclusion --- p.63Chapter 6 --- Logic Optimization by GBAW --- p.66Chapter 6.1 --- Introduction --- p.66Chapter 6.2 --- Logic Simplification --- p.67Chapter 6.2.1 --- Single-Addition-Multiple-Removal by Pattern Feature . . --- p.67Chapter 6.2.2 --- Single-Addition-Multiple-Removal by Combination of Pat- terns --- p.68Chapter 6.2.3 --- Single-Addition-Single-Removal --- p.70Chapter 6.3 --- Incremental Perturbation Heuristic --- p.71Chapter 6.4 --- GBAW Optimization Algorithm --- p.73Chapter 6.5 --- Experimental Results --- p.73Chapter 6.6 --- Conclusion --- p.76Chapter 7 --- Conclusion --- p.78Bibliography --- p.80Chapter A --- VLSI Design Cycle --- p.85Chapter B --- Alternative Wire Patterns in [WLFOO] --- p.87Chapter B.1 --- 0-local Pattern --- p.87Chapter B.2 --- 1-local Pattern --- p.88Chapter B.3 --- 2-local Pattern --- p.89Chapter B.4 --- Fanout-reconvergent Pattern --- p.90Chapter C --- New Alternative Wire Patterns --- p.91Chapter C.1 --- Pattern Cluster C1 --- p.91Chapter C.1.1 --- NAND-NAND-AND/NAND;AND/NAND --- p.91Chapter C.1.2 --- NOR-NOR-OR/NOR;AND/NAND --- p.92Chapter C.1.3 --- AND-NOR-OR/NOR;OR/NOR --- p.95Chapter C.1.4 --- OR-NAND-AND/NAND;AND/NAND --- p.95Chapter C.2 --- Pattern Cluster C2 --- p.98Chapter C.3 --- Pattern Cluster C3 --- p.99Chapter C.4 --- Pattern Cluster C4 --- p.104Chapter C.5 --- Pattern Cluster C5 --- p.105Glossary --- p.106Index --- p.10