An Effective Routability-driven Placer for Mixed-size Circuit Designs

We propose a routability-driven analytical placer that aims at distributing pins evenly. This is accomplished by including a group of pin density constraints in its mathematical formulation. Moreover, for mixed-size circuits, we adopt a scaled smoothing method to cope with fixed macro blocks. As a result, we have fewer cells overlapping with fixed blocks after global placement, implying that the optimization of the global placement solution is more accurate and that the global placement solution resembles a legal solution more. Routing solutions obtained by a commercial router show that for most benchmark circuits, better routing results can be achieved on the placement results generated by our pin density oriented placer

High-performance Global Routing for Trillion-gate Systems-on-Chips.

Due to aggressive transistor scaling, modern-day CMOS circuits have continually increased in both complexity and productivity. Modern semiconductor designs have narrower and more resistive wires, thereby shifting the performance bottleneck to interconnect delay. These trends considerably impact timing closure and call for improvements in high-performance physical design tools to keep pace with the current state of IC innovation. As leading-edge designs may incorporate tens of millions of gates, algorithm and software scalability are crucial to achieving reasonable turnaround time. Moreover, with decreasing device sizes, optimizing traditional objectives is no longer sufficient. Our research focuses on (i) expanding the capabilities of standalone global routing, (ii) extending global routing for use in different design applications, and (iii) integrating routing within broader physical design optimizations and flows, e.g., congestion-driven placement. Our first global router relies on integer-linear programming (ILP), and can solve fairly large problem instances to optimality. Our second iterative global router relies on Lagrangian relaxation, where we relax the routing violation constraints to allowing routing overflow at a penalty. In both approaches, our desire is to give the router the maximum degree of freedom within a specified context. Empirically, both routers produce competitive results within a reasonable amount of runtime. To improve routability, we explore the incorporation of routing with placement, where the router estimates congestion and feeds this information to the placer. In turn, the emphasis on runtime is heightened, as the router will be invoked multiple times. Empirically, our placement-and-route framework significantly improves the final solution’s routability than performing the steps sequentially. To further enhance routability-driven placement, we (i) leverage incrementality to generate fast and accurate congestion maps, and (ii) develop several techniques to relieve cell-based and layout-based congestion. To broaden the scope of routing, we integrate a global router in a chip-design flow that addresses the buffer explosion problem.PHDComputer Science and EngineeringUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.lib.umich.edu/bitstream/2027.42/98025/1/jinhu_1.pd

Initial detailed routing algorithms

In this work, we present a study of the problem of routing in the context of the VLSI physical synthesis flow. We study the fundamental routing algorithms such as maze routing, A*, and Steiner tree-based algorithms, as well as some global routing algorithms, namely FastRoute 4.0 and BoxRouter 2.0. We dissect some of the major state of the art initial detailed routing tools, such as RegularRoute, TritonRoute, SmartDR and Dr.CU 2.0. We also propose an initial detailed routing flow, and present an implementation of the proposed routing flow, with a track assignment technique that models the problem as an instance of the maximum independent weighted set (MWIS) and utilizes integer linear programming (ILP) as a solver. The implementation of the proposed initial detailed routing flow also includes an implementation of multiple-source and multiple-target A* for terminal andnet connection with adjustable rules and weights. Finally, we also present a study of the results obtained by the implementation of the proposed initial detailed routing flow and a comparison with the ISPD 2019 contest winners, considering the ISPD 2019 and benchmark suite and evaluation tools.Neste trabalho, apresentamos um estudo do problema de roteamento no contexto do fluxo de síntese física de circuitos integrados VLSI. Nós estudamos algoritmos de roteamento fundamentais como roteamento de labirinto, A* e baseados em árvores de Steiner, além de alguns algoritmos de roteamento global como FastRoute 4.0 e BoxRouter 2.0. Nós dissecamos alguns dos principais trabalhos de roteamento detalhado inicial do estado da arte, como RegularRoute, TritonRoute, SmartDR e Dr.CU 2.0. Também propomos um fluxo de roteamento detalhado inicial, e apresentamos uma implementação do fluxo de roteametno proposto, com uma técnica de assinalamento de trilhas que modela o problema como uma instância do problema do conjunto independente de peso máximo e usa programação linear inteira como um resolvedor. A implementação do fluxo de rotemaento detalhado inicial proposto também inclui uma implementação de um A* com múltiplas fontes e múltiplos destinos para conexão de terminais e redes, com regras e pesos ajustáveis. Por fim, nós apresentamos um estudo dos resultados obtidos pela implementação do fluxo de roteamento detalhado inicial proposto e comparamos com os vencedores do ISPD 2019 contest considerando a suíte de teste e ferramentas de avaliação do ISPD 2019

Graphics Processing Unit-Based Computer-Aided Design Algorithms for Electronic Design Automation

The electronic design automation (EDA) tools are a specific set of software that play important roles in modern integrated circuit (IC) design. These software automate the design processes of IC with various stages. Among these stages, two important EDA design tools are the focus of this research: floorplanning and global routing. Specifically, the goal of this study is to parallelize these two tools such that their execution time can be significantly shortened on modern multi-core and graphics processing unit (GPU) architectures. The GPU hardware is a massively parallel architecture, enabling thousands of independent threads to execute concurrently. Although a small set of EDA tools can benefit from using GPU to accelerate their speed, most algorithms in this field are designed with the single-core paradigm in mind. The floorplanning and global routing algorithms are among the latter, and difficult to render any speedup on the GPU due to their inherent sequential nature. This work parallelizes the floorplanning and global routing algorithm through a novel approach and results in significant speedups for both tools implemented on the GPU hardware. Specifically, with a complete overhaul of solution space and design space exploration, a GPU-based floorplanning algorithm is able to render 4-166X speedup, while achieving similar or improved solutions compared with the sequential algorithm. The GPU-based global routing algorithm is shown to achieve significant speedup against existing state-of-the-art routers, while delivering competitive solution quality. Importantly, this parallel model for global routing renders a stable solution that is independent from the level of parallelism. In summary, this research has shown that through a design paradigm overhaul, sequential algorithms can also benefit from the massively parallel architecture. The findings of this study have a positive impact on the efficiency and design quality of modern EDA design flow

Incremental Timing-Driven Placement with Displacement Constraint

In the modern deep-submicron Very Large Integrated Circuit(VLSI) design flow intercon- nect delays are becoming major limiting factor for timing closure. Traditional placement algorithms such as routability-driven placement (improves routability) and wirelength- driven placement (reduces total wirelength) are no longer sufficient to close timing. To this end, timing-driven placement plays a crucial role in reducing the interconnect delay through timing critical paths (paths with timing violations/negative slacks) of the design and thereby achieving specific performance/clock frequency. In the placement flow, timing information about the design can be incorporated during global placement and/or incremental/detailed placement. Although, over the years, there has been significant advances in the quality of the global placement, there is a growing need for high performance incremental timing-driven placement due to the lack of accurate interconnect information during global placement. Moreover, incremental timing-driven placement is essential to recover timing while preserving the other optimization objectives such as total wirelength, routing congestion, and so forth which are optimized at the early stages of the design flow. This thesis proposes a simple, yet efficient, incremental timing-driven placement algo- rithm that seeks to find optimized locations for standard cells so that the total negative slack of the design can be maximized. Our algorithm consists two stages: (1) Global Move which positions standard cells inside a critical bounding box to eliminate timing violations on timing critical nets; and (2) Local Move which provides further timing improvement by finely adjusting the current locations of the standard cells within a local region. We evaluate our algorithm using ICCAD-2014 timing-driven placement contest bench- marks. The results show that, on average, our technique eliminates 94% and 30% of the late and early total negative slacks, respectively, and, 82% and 27% of the late and early worst negative slacks, respectively, under short and long displacement constraints. The 1st-place team of the contest improves late and early total negative slacks by 90% and 39%, respectively, and improves late and early worst negative slack by 76% and 32%, re- spectively. Taking into account both timing violation improvement and the placement quality (i.e., other objectives), on average, we outperform the 1st-place team by 3% in terms of the ICCAD-2014 contest quality score and our technique is 4.6× faster in terms of runtime

Analytical Layer Planning for Nanometer VLSI Designs

In this thesis, we proposed an intermediate sub-process between placement and routing stage in physical design. The algorithm is for generating layer guidance for post-placement optimization technique especially buffer insertion. This issue becomes critical in nowadays VLSI chip design due to the factor of timing, congestion, and increasingly non-uniform parasitic among different metal layers. Besides, as a step before routing, this layer planning algorithm accounts for routability by considering minimized overlap area between different nets. Moreover, layer directive information which is a crucial concern in industrial design is also considered in the algorithm. The core problem is formulated as nonlinear programming problem which is composed of objective function and constraints. The problem is further solved by conjugate gradient method. The whole algorithm is implemented by C++ under Linux operating system and tested on ISPD2008 Global Routing Contest Benchmarks. The experiment results are shown in the end of this thesis and confirm the effectiveness of our approach especially in routability aspect

A Metaheuristic Method for Fast Multi-Deck Legalization

Department of Electrical EngineeringIn the field of circuit design, decreasing the transistor size is getting harder and harder. Hence, improving the circuit performance also becoming difficult. For the better circuit performance, various technologies are being tired and multi-deck standard cell technology is one of them. The standard cell methodology is a fundamental structure of EDA (Electric Design Automation). Using the standard cell library, EDA tools can easily design, and optimize the physical design of chips. In order to conventional standard cell, multi-deck standard cell occupies multiple rows on the chip. This multiple occupation increases complexity of the circuit physical design for EDA tools. Thus, legalization problem has become more challenging for the multi-deck standard cells. Recently, various multi-deck legalization methods are proposed because the conventional single-deck legalization method is not effective for multi-deck legalization. A state-of-the-arts legalization method is based on quadratic programming with the linear complementary problem(LCP). However, these previous researches can only cover the double-deck case because of runtime burden. In this thesis, we propose the fast and enhanced the multi-deck standard cell legalization algorithm which can handle higher than double-deck standard cell cases. The proposed legalization method achieves the most fastest runtime result for the dominant number of benchmarks on ICCAD Contest 2017 [1] compared with Top 3 results.ope

A Techniques for Scalable and Effective Routability Evaluation

Routing congestion has become a critical layout challenge in nanoscale circuits since it is a critical factor in determining the routability of a design. An unroutable design is not useful even though it closes on all other design metrics. Fast design closure can only be achieved by accurately evaluating whether a design is routable or not early in the design cycle. Lately, it has become common to use a “light mode ” version of a global router to quickly evaluate the routability of a given placement. This approach suffers from three weaknesses: (i) it does not adequately model local routing resources, which can cause incorrect routability predictions that are only detected late, during detailed routing, (ii) the congestion maps obtained by it tend to have isolated hot spots surrounded by noncongested spots, called “noisy hot spots”, which further affects the accuracy in routability evaluation, (iii) the metrics used to represent congestion may yield numbers that do not provide sufficient intuition to the designer; moreover, they may often fail to predict the routability accurately. This paper presents solutions to these issues. First, we propose three approaches to model local routing resources. Second, we propose a smoothing technique to reduce the number of noisy hot spots and obtain a more accurate routability evaluation result. Finally, we develop a new metric which represents congestion maps with higher fidelity. We apply the proposed techniques to several industrial circuits and demonstrate that one can better predict and evaluate design routability, and congestion mitigation tools can perform muc