Throughput-driven floorplanning with wire pipelining

The size of future high-performance SoC is such that the time-of-flight of wires connecting distant pins in the layout can be much higher than the clock period. In order to keep the frequency as high as possible, the wires may be pipelined. However, the insertion of flip-flops may alter the throughput of the system due to the presence of loops in the logic netlist. In this paper, we address the problem of floorplanning a large design where long interconnects are pipelined by inserting the throughput in the cost function of a tool based on simulated annealing. The results obtained on a series of benchmarks are then validated using a simple router that breaks long interconnects by suitably placing flip-flops along the wires

Routability Driven Floorplanner with Buffer Block Planning

traditionalfl oorplanners, area minimization is an important issue. However, due to the recent advances in VLSI technology, the number of transistors in a design are increasing rapidly and so are their switching speeds. This has increased the importance of interconnect delay and routability in the overall performance of a circuit. We should consider interconnect planning, bu#er planning and routability as early as possible. In this paper, we study and implement a routability-drivenfl oorplanner with congestion estimation and bu#er planning. Our method is based on a simulated annealing approach that is divided into two phases: the area optimization phase and the congestion optimization phase. In the area optimization phase, modules are roughly placed according to the total area and wirelength. In the congestion optimization phase, afl oorplan will be evaluated by its area, wirelength, congestion and routability. We assume that every bu#er should be inserted at afl exible interval from each other for long enough wires and probabilistic analysis is performed to compute the congestion information taken into accounts the constraints in bu#er locations. Our approach is able to reduce the average number of wires at the congested areas and allow more feasible insertions of bu#ers to satisfy the delay constraints without having much penalty in increasing the area of the fl orplan

Fixed-outline bus-driven floorplanning.

Jiang, Yan.Thesis (M.Phil.)--Chinese University of Hong Kong, 2011.Includes bibliographical references (p. 87-92).Abstracts in English and Chinese.Abstract --- p.iAcknowledgement --- p.ivChapter 1 --- Introduction --- p.1Chapter 1.1 --- Physical Design --- p.2Chapter 1.2 --- Floorplanning --- p.6Chapter 1.2.1 --- Floorplanning Objectives --- p.7Chapter 1.2.2 --- Common Approaches --- p.8Chapter 1.3 --- Motivations and Contributions --- p.14Chapter 1.4 --- Organization of the Thesis --- p.15Chapter 2 --- Literature Review on BDF --- p.17Chapter 2.1 --- Zero-Bend BDF --- p.17Chapter 2.1.1 --- BDF Using the Sequence-Pair Representation --- p.17Chapter 2.1.2 --- Using B*-Tree and Fast SA --- p.20Chapter 2.2 --- Two-Bend BDF --- p.22Chapter 2.3 --- TCG-Based Multi-Bend BDF --- p.25Chapter 2.3.1 --- Placement Constraints for Bus --- p.26Chapter 2.3.2 --- Bus Ordering --- p.28Chapter 2.4 --- Bus-Pin-Aware BDF --- p.30Chapter 2.5 --- Summary --- p.33Chapter 3 --- Fixed-Outline BDF --- p.35Chapter 3.1 --- Introduction --- p.35Chapter 3.2 --- Problem Formulation --- p.36Chapter 3.3 --- The Overview of Our Approach --- p.36Chapter 3.4 --- Partitioning --- p.37Chapter 3.4.1. --- The Overview of Partitioning --- p.38Chapter 3.4.2 --- Building a Hypergraph G --- p.39Chapter 3.5 --- Floorplaiining with Bus Routing --- p.43Chapter 3.5.1 --- Find Bus Routes --- p.43Chapter 3.5.2 --- Realization of Bus Routes --- p.48Chapter 3.5.3 --- Details of the Annealing Process --- p.50Chapter 3.6 --- Handle Fixed-Outline Constraints --- p.52Chapter 3.7 --- Bus Layout --- p.52Chapter 3.8 --- Experimental Results --- p.56Chapter 3.9 --- Summary --- p.61Chapter 4 --- Fixed-Outline BDF with L-shape bus --- p.63Chapter 4.1 --- Introduction --- p.63Chapter 4.2 --- Problem Formulation --- p.64Chapter 4.3 --- Our Approach --- p.65Chapter 4.3.1 --- Bus Routability Checking --- p.67Chapter 4.3.2 --- Details of the Annealing Process --- p.79Chapter 4.4 --- Experimental Results --- p.79Chapter 4.5 --- Summary --- p.82Chapter 5 --- Conclusion --- p.85Bibliography --- p.9

Bus-driven floorplanning.

Law Hoi Ying.Thesis (M.Phil.)--Chinese University of Hong Kong, 2005.Includes bibliographical references (leaves 101-106).Abstracts in English and Chinese.Chapter 1 --- Introduction --- p.1Chapter 1.1 --- VLSI Design Cycle --- p.2Chapter 1.2 --- Physical Design Cycle --- p.6Chapter 1.3 --- Floorplanning --- p.10Chapter 1.3.1 --- Floorplanning Objectives --- p.11Chapter 1.3.2 --- Common Approaches --- p.12Chapter 1.3.3 --- Interconnect-Driven Floorplanning --- p.14Chapter 1.4 --- Motivations and Contributions --- p.15Chapter 1.5 --- Organization of the Thesis --- p.17Chapter 2 --- Literature Review on 2D Floorplan Representations --- p.18Chapter 2.1 --- Types of Floorplans --- p.18Chapter 2.2 --- Floorplan Representations --- p.20Chapter 2.2.1 --- Slicing Floorplan --- p.21Chapter 2.2.2 --- Non-slicing Floorplan --- p.22Chapter 2.2.3 --- Mosaic Floorplan --- p.30Chapter 2.3 --- Summary --- p.35Chapter 3 --- Literature Review on 3D Floorplan Representations --- p.37Chapter 3.1 --- Introduction --- p.37Chapter 3.2 --- Problem Formulation --- p.38Chapter 3.3 --- Previous Work --- p.38Chapter 3.4 --- Summary --- p.42Chapter 4 --- Literature Review on Bus-Driven Floorplanning --- p.44Chapter 4.1 --- Problem Formulation --- p.44Chapter 4.2 --- Previous Work --- p.45Chapter 4.2.1 --- Abutment Constraint --- p.45Chapter 4.2.2 --- Alignment Constraint --- p.49Chapter 4.2.3 --- Bus-Driven Floorplanning --- p.52Chapter 4.3 --- Summary --- p.53Chapter 5 --- Multi-Bend Bus-Driven Floorplanning --- p.55Chapter 5.1 --- Introduction --- p.55Chapter 5.2 --- Problem Formulation --- p.56Chapter 5.3 --- Methodology --- p.57Chapter 5.3.1 --- Shape Validation --- p.58Chapter 5.3.2 --- Bus Ordering --- p.65Chapter 5.3.3 --- Floorplan Realization --- p.72Chapter 5.3.4 --- Simulated Annealing --- p.73Chapter 5.3.5 --- Soft Block Adjustment --- p.75Chapter 5.4 --- Experimental Results --- p.75Chapter 5.5 --- Summary --- p.77Chapter 6 --- Bus-Driven Floorplanning for 3D Chips --- p.80Chapter 6.1 --- Introduction --- p.80Chapter 6.2 --- Problem Formulation --- p.81Chapter 6.3 --- The Representation --- p.82Chapter 6.3.1 --- Overview --- p.82Chapter 6.3.2 --- Review of TCG --- p.83Chapter 6.3.3 --- Layered Transitive Closure Graph (LTCG) --- p.84Chapter 6.3.4 --- Aligning Blocks --- p.85Chapter 6.3.5 --- Solution Perturbation --- p.87Chapter 6.4 --- Simulated Annealing --- p.92Chapter 6.5 --- Soft Block Adjustment --- p.92Chapter 6.6 --- Experimental Results --- p.93Chapter 6.7 --- Summary --- p.94Chapter 6.8 --- Acknowledgement --- p.95Chapter 7 --- Conclusion --- p.99Bibliography --- p.10

Routability-Driven Floorplanner With Buffer Block Planning

Abstract—In traditional floorplanners, area minimization is an important issue. However, due to the recent advances in very large scale integration technology, the number of transistors in a design are increasing rapidly and so are their switching speeds. This has increased the importance of interconnect delay and routability in the overall performance of a circuit. We should consider interconnect planning, buffer planning, and routability as early as possible. In this paper, we study and implement a routability-driven floorplanner with congestion estimation and buffer planning. Our method is based on a simulated annealing approach that is divided into two phases: the area optimization and congestion optimization phases. In the area optimization phase, modules are roughly placed according to the total area and wirelength. In the congestion optimization phase, a floorplan will be evaluated by its area, wirelength, congestion, and routability. We assume that buffers should be inserted at flexible intervals from each other for long enough wires and probabilistic analysis is performed to compute the congestion information taken into account the constraints in buffer locations. Our approach is able to reduce the average number of wires at the congested areas and allow more feasible insertions of buffers to satisfy the delay constraints without having much penalty in increasing the area of the floorplan. Index Terms—Buffer planning, computer-aided design, floor planning, interconnect-driven, physical design, very large scale integration (VLSI)

Interconnect-driven floorplanning.

Sham Chiu Wing.Thesis (M.Phil.)--Chinese University of Hong Kong, 2002.Includes bibliographical references (leaves 107-113).Abstracts in English and Chinese.Chapter 1 --- Introduction --- p.1Chapter 1.1 --- Motivations --- p.1Chapter 1.2 --- Progress on the Problem --- p.2Chapter 1.3 --- Our Contributions --- p.3Chapter 1.4 --- Thesis Organization --- p.5Chapter 2 --- Preliminaries --- p.6Chapter 2.1 --- Introduction --- p.6Chapter 2.1.1 --- The Role of Floorplanning --- p.6Chapter 2.1.2 --- Wirelength Estimation --- p.7Chapter 2.1.3 --- Different Types of Floorplan --- p.8Chapter 2.2 --- Representations of Floorplan --- p.10Chapter 2.2.1 --- Polish Expressions --- p.10Chapter 2.2.2 --- Sequence Pair --- p.11Chapter 2.2.3 --- Bounded-Sliceline Grid (BSG) Structure --- p.13Chapter 2.2.4 --- O-Tree --- p.14Chapter 2.2.5 --- B*-Tree --- p.16Chapter 2.2.6 --- Corner Block List --- p.18Chapter 2.2.7 --- Twin Binary Tree --- p.19Chapter 2.2.8 --- Comparisons between Different Representations --- p.20Chapter 2.3 --- Algorithms of Floorplan Design --- p.20Chapter 2.3.1 --- Constraint Based Floorplanning --- p.21Chapter 2.3.2 --- Integer Programming Based Floorplanning --- p.21Chapter 2.3.3 --- Neural Learning Based Floorplanning --- p.22Chapter 2.3.4 --- Rectangular Dualization --- p.22Chapter 2.3.5 --- Simulated Annealing --- p.23Chapter 2.3.6 --- Genetic Algorithm --- p.23Chapter 2.4 --- Summary --- p.24Chapter 3 --- Literature Review on Interconnect-Driven Floorplanning --- p.25Chapter 3.1 --- Introduction --- p.25Chapter 3.2 --- Simulated Annealing Approach --- p.25Chapter 3.2.1 --- """Pepper - A Timing Driven Early Floorplanner""" --- p.25Chapter 3.2.2 --- """A Timing Driven Block Placer Based on Sequence Pair Model""" --- p.26Chapter 3.2.3 --- """Integrated Floorplanning and Interconnect Planning""" --- p.27Chapter 3.2.4 --- """Interconnect Driven Floorplanning with Fast Global Wiring Planning and Optimization""" --- p.27Chapter 3.3 --- Genetic Algorithm Approach --- p.28Chapter 3.3.1 --- "“Timing Influenced General-cell Genetic Floorplanning""" --- p.28Chapter 3.4 --- Force Directed Approach --- p.29Chapter 3.4.1 --- """Timing Influenced Force Directed Floorplanning""" --- p.29Chapter 3.5 --- Congestion Planning --- p.30Chapter 3.5.1 --- """On the Behavior of Congestion Minimization During Placement""" --- p.30Chapter 3.5.2 --- """Congestion Minimization During Placement""" --- p.31Chapter 3.5.3 --- "“Estimating Routing Congestion Using Probabilistic Anal- ysis""" --- p.31Chapter 3.6 --- Buffer Planning --- p.32Chapter 3.6.1 --- """Buffer Block Planning for Interconnect Driven Floor- planning""" --- p.32Chapter 3.6.2 --- """Routability Driven Repeater Block Planning for Interconnect- centric Floorplanning""" --- p.33Chapter 3.6.3 --- """Provably Good Global Buffering Using an Available Block Plan""" --- p.34Chapter 3.6.4 --- "“Planning Buffer Locations by Network Flows""" --- p.34Chapter 3.6.5 --- """A Practical Methodology for Early Buffer and Wire Re- source Allocation""" --- p.35Chapter 3.7 --- Summary --- p.36Chapter 4 --- Floorplanner with Fixed Buffer Planning [34] --- p.37Chapter 4.1 --- Introduction --- p.37Chapter 4.2 --- Overview of the Floorplanner --- p.38Chapter 4.3 --- Congestion Model --- p.38Chapter 4.3.1 --- Construction of Grid Structure --- p.39Chapter 4.3.2 --- Counting the Number of Routes at a Grid --- p.40Chapter 4.3.3 --- Buffer Location Computation --- p.41Chapter 4.3.4 --- Counting Routes with Blocked Grids --- p.42Chapter 4.3.5 --- Computing the Probability of Net Crossing --- p.43Chapter 4.4 --- Time Complexity --- p.44Chapter 4.5 --- Simulated Annealing --- p.45Chapter 4.6 --- Wirelength Estimation --- p.46Chapter 4.6.1 --- Center-to-center Estimation --- p.47Chapter 4.6.2 --- Corner-to-corner Estimation --- p.47Chapter 4.6.3 --- Intersection-to-intersection Estimation --- p.48Chapter 4.7 --- Multi-pin Nets Handling --- p.49Chapter 4.8 --- Experimental Results --- p.50Chapter 4.9 --- Summary --- p.51Chapter 5 --- Floorplanner with Flexible Buffer Planning [35] --- p.53Chapter 5.1 --- Introduction --- p.53Chapter 5.2 --- Overview of the Floorplanner --- p.54Chapter 5.3 --- Congestion Model --- p.55Chapter 5.3.1 --- Probabilistic Model with Variable Interval Buffer Inser- tion Constraint --- p.57Chapter 5.3.2 --- Time Complexity --- p.61Chapter 5.4 --- Buffer Planning --- p.62Chapter 5.4.1 --- Estimation of Buffer Usage --- p.62Chapter 5.4.2 --- Estimation of Buffer Resources --- p.69Chapter 5.5 --- Two-phases Simulated Annealing --- p.70Chapter 5.6 --- Wirelength Estimation --- p.72Chapter 5.7 --- Multi-pin Nets Handling --- p.73Chapter 5.8 --- Experimental Results --- p.73Chapter 5.9 --- Remarks --- p.76Chapter 5.10 --- Summary --- p.76Chapter 6 --- Global Router --- p.77Chapter 6.1 --- Introduction --- p.77Chapter 6.2 --- Overview of the Global Router --- p.77Chapter 6.3 --- Buffer Insertion Constraint and Congestion Constraint --- p.78Chapter 6.4 --- Multi-pin Nets Handling --- p.79Chapter 6.5 --- Routing Methodology --- p.79Chapter 6.6 --- Implementation --- p.80Chapter 6.7 --- Summary --- p.86Chapter 7 --- Interconnect-Driven Floorplanning by Alternative Packings --- p.87Chapter 7.1 --- Introduction --- p.87Chapter 7.2 --- Overview of the Method --- p.87Chapter 7.3 --- Searching Alternative Packings --- p.89Chapter 7.3.1 --- Rectangular Supermodules in Sequence Pair --- p.89Chapter 7.3.2 --- Finding rearrangable module sets --- p.90Chapter 7.3.3 --- Alternative Sequence Pairs --- p.94Chapter 7.4 --- Implementation --- p.97Chapter 7.4.1 --- Re-calculation of Interconnect Cost --- p.98Chapter 7.4.2 --- Cost Function --- p.101Chapter 7.4.3 --- Time Complexity --- p.101Chapter 7.5 --- Experimental Results --- p.101Chapter 7.6 --- Summary --- p.103Chapter 8 --- Conclusion --- p.105Bibliography --- p.10

Efficient approaches in interconnect-driven floorplanning.

Lai Tsz Wai.Thesis (M.Phil.)--Chinese University of Hong Kong, 2003.Includes bibliographical references (leaves 123-129).Abstracts in English and Chinese.Chapter 1 --- Introduction --- p.1Chapter 1.1 --- VLSI Design Cycle --- p.2Chapter 1.2 --- Physical Design Cycle --- p.4Chapter 1.3 --- Floorplanning --- p.7Chapter 1.3.1 --- Types of Floorplan and Floorplan Representations --- p.11Chapter 1.3.2 --- Interconnect-driven Floorplanning --- p.13Chapter 1.4 --- Motivations and Contributions --- p.17Chapter 1.5 --- Organization of this Thesis --- p.18Chapter 2 --- Literature Review on Floorplan Representation --- p.20Chapter 2.1 --- Slicing Floorplan Representation --- p.20Chapter 2.1.1 --- Normalized Polish Expression --- p.20Chapter 2.2 --- Non-slicing Floorplan Representations --- p.21Chapter 2.2.1 --- Sequence Pair (SP) --- p.21Chapter 2.2.2 --- Bounded-sliceline Grid (BSG) --- p.23Chapter 2.2.3 --- O-tree --- p.25Chapter 2.2.4 --- B*-tree --- p.26Chapter 2.3 --- Mosaic Floorplan Representations --- p.28Chapter 2.3.1 --- Corner Block List (CBL) --- p.28Chapter 2.3.2 --- Twin Binary Trees (TBT) --- p.31Chapter 2.3.3 --- Twin Binary Sequences (TBS) --- p.32Chapter 2.4 --- Summary --- p.34Chapter 3 --- Literature Review on Interconnect Optimization in Floorplan- ning --- p.37Chapter 3.1 --- Wirelength Estimation --- p.37Chapter 3.2 --- Congestion Optimization --- p.38Chapter 3.2.1 --- Integrated Floorplanning and Interconnect Planning --- p.41Chapter 3.2.2 --- Multi-layer Global Wiring Planning (GWP) --- p.43Chapter 3.2.3 --- Estimating Routing Congestion using Probabilistic Anal- ysis --- p.44Chapter 3.2.4 --- Congestion Minimization During Placement --- p.46Chapter 3.2.5 --- Modelling and Minimization of Routing Congestion --- p.48Chapter 3.3 --- Buffer Planning --- p.49Chapter 3.3.1 --- Buffer Clustering with Feasible Region --- p.51Chapter 3.3.2 --- Routability-driven Repeater Clustering Algorithm with Iterative Deletion --- p.55Chapter 3.3.3 --- Planning Buffer Locations by Network Flow --- p.58Chapter 3.3.4 --- Buffer Planning using Integer Multicommodity Flow --- p.60Chapter 3.3.5 --- Buffer Planning Problem using Tile Graph --- p.60Chapter 3.3.6 --- Probabilistic Analysis for Buffer Block Planning --- p.62Chapter 3.3.7 --- Fast Buffer Planning and Congestion Optimization --- p.63Chapter 3.4 --- Summary --- p.66Chapter 4 --- Congestion Evaluation: Wire Density Model --- p.68Chapter 4.1 --- Introduction --- p.68Chapter 4.2 --- Overview of Our Floorplanner --- p.70Chapter 4.3 --- Wire Density Model --- p.71Chapter 4.3.1 --- Computation of Ni --- p.72Chapter 4.3.2 --- Computation of Pi --- p.74Chapter 4.3.3 --- Usage of Mirror TBT --- p.76Chapter 4.4 --- Implementation --- p.76Chapter 4.4.1 --- Efficient Calculation of Ni --- p.76Chapter 4.4.2 --- Solving the LCA Problem Efficiently --- p.81Chapter 4.4.3 --- Cost Function --- p.81Chapter 4.4.4 --- Complexity --- p.81Chapter 4.5 --- Experimental Results --- p.82Chapter 4.6 --- Conclusion --- p.83Chapter 5 --- Buffer Planning: Simple Buffer Planning Method --- p.85Chapter 5.1 --- Introduction --- p.85Chapter 5.2 --- Variable Interval Buffer Insertion Constraint --- p.87Chapter 5.3 --- Overview of Our Floorplanner --- p.88Chapter 5.4 --- Buffer Planning --- p.89Chapter 5.4.1 --- Feasible Grids --- p.89Chapter 5.4.2 --- Table Look-up Approach --- p.89Chapter 5.5 --- Implementation --- p.91Chapter 5.5.1 --- Building the Look-up Tables --- p.91Chapter 5.5.2 --- An Example of Look-up Table Construction --- p.94Chapter 5.5.3 --- A Faster Approach for Building the Look-up Tables --- p.101Chapter 5.5.4 --- An Example of the Faster Look-up Table Construction --- p.105Chapter 5.5.5 --- I/O Pin Locations --- p.106Chapter 5.5.6 --- Cost Function --- p.110Chapter 5.5.7 --- Complexity --- p.111Chapter 5.6 --- Experimental Results --- p.112Chapter 5.6.1 --- Selected Value for A --- p.112Chapter 5.6.2 --- Performance of Our Floorplanner --- p.113Chapter 5.7 --- Conclusion --- p.116Chapter 6 --- Conclusion --- p.118Chapter A --- An Efficient Algorithm for the Least Common Ancestor Prob- lem --- p.120Bibliography --- p.12