Nanometer VLSI placement and optimization for multi-objective design closure

In a VLSI physical synthesis flow, placement directly defines the interconnection, which affects many other design objectives, such as timing, power consumption, congestion, and thermal issues. With the scaling of technology, the relative interconnect delay increases dramatically. As a result, placement has become a bottleneck in deep sub-micron physical synthesis. In this dissertation, I propose several optimization algorithms from global placement, placement migration, timing driven placements, to incremental power optimizations for multi-objective VLSI design closure. The first work is DPlace, a new global placement algorithm that scales well to the modern large-scale circuit placement problems. DPlace simulates the natural diffusion process to spread cells smoothly over the placement region, and uses both analytical and discrete techniques to improve the wire length. However, global placement is never sufficient for multi-objective design closure, a variety of design objectives have to be improved incrementally, such as timing, routing congestion, signal integrity, and heat distribution. Placement migration is a critical step to address the cell overlaps appearing during incremental optimizations. To achieve high placement stability, I propose a computational geometry based placement migration flow to cope with placement changes, and a new stability metric to measure the “similarity” between two placements accurately. Our placement migration algorithm has clear advantage over conventional legalization algorithms such that the neighborhood characteristics of the original placement are preserved. For timing closure in high performance designs, I present a linear programming based incremental timing driven placement to improve the timing on critical paths directly. I further present an efficient timing driven placement algorithm (Pyramids). Two formulations of Pyramids are proposed, which are suitable for different optimization stages in a physical synthesis flow. Both approaches find the optimal location for timing of a cell in constant time, through computational geometry based approaches. For fast convergence of design closure, placement should be integrated with other optimization techniques. I propose to combine placement, gate sizing and Vt swapping techniques to reduce the total power consumption, especially the leakage power, which is becoming increasingly critical for nanometer VLSI design closure.Electrical and Computer Engineerin

Layer assignment and routing optimization for advanced technologies

As VLSI technology scales to deep sub-micron and beyond, it becomes increasingly challenging to achieve timing closure for VLSI design. Since a complete design flow consists of several phases, such as logic synthesis, placement, and routing, interconnect synthesis plays an important role which includes buffer insertion/sizing and timing-driven routing. Although progress has been achieved by many advanced routing techniques, the following aspects can be exploited sufficiently for further improvement: (1) incremental layer assignment for timing optimization; (2) signal routing with the requirement of regularity; (3) power-efficient optical-electrical interconnect paradigm. Thus, to perform the layer assignment and routing optimization for advanced technologies, an automated routing engine in a global view is essential to benefit the interconnect design while satisfying specific requirements. This dissertation proposes a set of algorithms and methodology on layer assignment and routing optimization for advanced technologies. The research includes two timing-driven incremental layer assignment approaches, synergistic topology generation and routing synthesis for signal groups, and optical-electrical routing design for power efficiency. For incremental layer assignment, most of the conventional approaches target via minimization but neglect the timing issues. Meanwhile, via delays are ignored but should be considered in emerging technology nodes. Then two timing-driven incremental layer assignment frameworks are proposed, where all the nets are solved simultaneously with the integration of via delays: (1) optimization of the total sum of net delays and reduction of slew violations; (2) minimization of critical path timing in selected nets. For on-chip signal routing, the bundled bits in one group may have different pin locations, but they have to be routed in a regular manner by sharing common topologies. Very few previous works target inter-bit regularity via multi-layer topology selection. Furthermore, the routability and wire-length of the signal bits should also be optimized. Then an advanced synergistic routing engine is promoted, which is able to not only control routability and wire-length but also guide each bit routing intelligently for design regularity. For optical-electrical co-design routing, optical interconnect shows its advantage due to the dominance of bandwidth-distance-power properties. The previous works lack a detailed exploration of optical-electrical co-design for on-chip interconnects. During the transmission, signal quality can be affected by various loss sources and Electrical to Optical (EO)/Optical to Electrical (OE) conversion overheads should also be considered. Then a power-efficient routing flow for on-chip signals is presented, where optical connections can collaborate with electrical wires seamlessly. The effectiveness of proposed algorithms and techniques is demonstrated in this dissertation. These approaches are able to achieve the improvements regarding specific metrics and eventually benefit the routing flow.Electrical and Computer Engineerin

Broadening the Scope of Multi-Objective Optimizations in Physical Synthesis of Integrated Circuits.

In modern VLSI design, physical synthesis tools are primarily responsible for satisfying chip-performance constraints by invoking a broad range of circuit optimizations, such as buffer insertion, logic restructuring, gate sizing and relocation. This process is known as timing closure. Our research seeks more powerful and efficient optimizations to improve the state of the art in modern chip design. In particular, we integrate timing-driven relocation, retiming, logic cloning, buffer insertion and gate sizing in novel ways to create powerful circuit transformations that help satisfy setup-time constraints. State-of-the-art physical synthesis optimizations are typically applied at two scales: i) global algorithms that affect the entire netlist and ii) local transformations that focus on a handful of gates or interconnections. The scale of modern chip designs dictates that only near-linear-time optimization algorithms can be applied at the global scope — typically limited to wirelength-driven placement and legalization. Localized transformations can rely on more time-consuming optimizations with accurate delay models. Few techniques bridge the gap between fully-global and localized optimizations. This dissertation broadens the scope of physical synthesis optimization to include accurate transformations operating between the global and local scales. In particular, we integrate groups of related transformations to break circular dependencies and increase the number of circuit elements that can be jointly optimized to escape local minima. Integrated transformations in this dissertation are developed by identifying and removing obstacles to successful optimizations. Integration is achieved through mapping multiple operations to rigorous mathematical optimization problems that can be solved simultaneously. We achieve computational scalability in our techniques by leveraging analytical delay models and focusing optimization efforts on carefully selected regions of the chip. In this regard, we make extensive use of a linear interconnect-delay model that accounts for the impact of subsequent repeated insertion. Our integrated transformations are evaluated on high-performance circuits with over 100,000 gates. Integrated optimization techniques described in this dissertation ensure graceful timing-closure process and impact nearly every aspect of a typical physical synthesis flow. They have been validated in EDA tools used at IBM for physical synthesis of high-performance CPU and ASIC designs, where they significantly improved chip performance.Ph.D.Computer Science & EngineeringUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.lib.umich.edu/bitstream/2027.42/78744/1/iamyou_1.pd

Algorithmic techniques for physical design : macro placement and under-the-cell routing

With the increase of chip component density and new manufacturability constraints imposed by modern technology nodes, the role of algorithms for electronic design automation is key to the successful implementation of integrated circuits. Two of the critical steps in the physical design flows are macro placement and ensuring all design rules are honored after timing closure. This thesis proposes contributions to help in these stages, easing time-consuming manual steps and helping physical design engineers to obtain better layouts in reduced turnaround time. The first contribution is under-the-cell routing, a proposal to systematically connect standard cell components via lateral pins in the lower metal layers. The aim is to reduce congestion in the upper metal layers caused by extra metal and vias, decreasing the number of design rule violations. To allow cells to connect by abutment, a standard cell library is enriched with instances containing lateral pins in a pre-selected sharing track. Algorithms are proposed to maximize the numbers of connections via lateral connection by mapping placed cell instances to layouts with lateral pins, and proposing local placement modifications to increase the opportunities for such connections. Experimental results show a significant decrease in the number of pins, vias, and in number of design rule violations, with negligible impact on wirelength and timing. The second contribution, done in collaboration with eSilicon (a leading ASIC design company), is the creation of HiDaP, a macro placement tool for modern industrial designs. The proposed approach follows a multilevel scheme to floorplan hierarchical blocks, composed of macros and standard cells. By exploiting RTL information available in the netlist, the dataflow affinity between these blocks is modeled and minimized to find a macro placement with good wirelength and timing properties. The approach is further extended to allow additional engineer input, such as preferred macro locations, and also spectral and force methods to guide the floorplanning search. Experimental results show that the layouts generated by HiDaP outperforms those obtained by a state-of-the-art EDA physical design software, with similar wirelength and better timing when compared to manually designed tape-out ready macro placements. Layouts obtained by HiDaP have successfully been brought to near timing closure with one to two rounds of small modifications by physical design engineers. HiDaP has been fully integrated in the design flows of the company and its development remains an ongoing effort.A causa de l'increment de la densitat de components en els xip i les noves restriccions de disseny imposades pels últims nodes de fabricació, el rol de l'algorísmia en l'automatització del disseny electrònic ha esdevingut clau per poder implementar circuits integrats. Dos dels passos crucials en el procés de disseny físic és el placement de macros i assegurar la correcció de les regles de disseny un cop les restriccions de timing del circuit són satisfetes. Aquesta tesi proposa contribucions per ajudar en aquests dos reptes, facilitant laboriosos passos manuals en el procés i ajudant als enginyers de disseny físic a obtenir millors resultats en menys temps. La primera contribució és el routing "under-the-cell", una proposta per connectar cel·les estàndard usant pins laterals en les capes de metall inferior de manera sistemàtica. L'objectiu és reduir la congestió en les capes de metall superior causades per l'ús de metall i vies, i així disminuir el nombre de violacions de regles de disseny. Per permetre la connexió lateral de cel·les, estenem una llibreria de cel·les estàndard amb dissenys que incorporen connexions laterals. També proposem modificacions locals al placement per permetre explotar aquest tipus de connexions més sovint. Els resultats experimentals mostren una reducció significativa en el nombre de pins, vies i nombre de violacions de regles de disseny, amb un impacte negligible en wirelength i timing. La segona contribució, desenvolupada en col·laboració amb eSilicon (una empresa capdavantera en disseny ASIC), és el desenvolupament de HiDaP, una eina de macro placement per a dissenys industrials actuals. La proposta segueix un procés multinivell per fer el floorplan de blocks jeràrquics, formats per macros i cel·les estàndard. Mitjançant la informació RTL disponible en la netlist, l'afinitat de dataflow entre els mòduls es modela i minimitza per trobar macro placements amb bones propietats de wirelength i timing. La proposta també incorpora la possibilitat de rebre input addicional de l'enginyer, com ara suggeriments de les posicions de les macros. Finalment, també usa mètodes espectrals i de forçes per guiar la cerca de floorplans. Els resultats experimentals mostren que els dissenys generats amb HiDaP són millors que els obtinguts per eines comercials capdavanteres de EDA. Els resultats també mostren que els dissenys presentats poden obtenir un wirelength similar i millor timing que macro placements obtinguts manualment, usats per fabricació. Alguns dissenys obtinguts per HiDaP s'han dut fins a timing-closure en una o dues rondes de modificacions incrementals per part d'enginyers de disseny físic. L'eina s'ha integrat en el procés de disseny de eSilicon i el seu desenvolupament continua més enllà de les aportacions a aquesta tesi.Postprint (published version

Algorithmic techniques for physical design : macro placement and under-the-cell routing

With the increase of chip component density and new manufacturability constraints imposed by modern technology nodes, the role of algorithms for electronic design automation is key to the successful implementation of integrated circuits. Two of the critical steps in the physical design flows are macro placement and ensuring all design rules are honored after timing closure. This thesis proposes contributions to help in these stages, easing time-consuming manual steps and helping physical design engineers to obtain better layouts in reduced turnaround time. The first contribution is under-the-cell routing, a proposal to systematically connect standard cell components via lateral pins in the lower metal layers. The aim is to reduce congestion in the upper metal layers caused by extra metal and vias, decreasing the number of design rule violations. To allow cells to connect by abutment, a standard cell library is enriched with instances containing lateral pins in a pre-selected sharing track. Algorithms are proposed to maximize the numbers of connections via lateral connection by mapping placed cell instances to layouts with lateral pins, and proposing local placement modifications to increase the opportunities for such connections. Experimental results show a significant decrease in the number of pins, vias, and in number of design rule violations, with negligible impact on wirelength and timing. The second contribution, done in collaboration with eSilicon (a leading ASIC design company), is the creation of HiDaP, a macro placement tool for modern industrial designs. The proposed approach follows a multilevel scheme to floorplan hierarchical blocks, composed of macros and standard cells. By exploiting RTL information available in the netlist, the dataflow affinity between these blocks is modeled and minimized to find a macro placement with good wirelength and timing properties. The approach is further extended to allow additional engineer input, such as preferred macro locations, and also spectral and force methods to guide the floorplanning search. Experimental results show that the layouts generated by HiDaP outperforms those obtained by a state-of-the-art EDA physical design software, with similar wirelength and better timing when compared to manually designed tape-out ready macro placements. Layouts obtained by HiDaP have successfully been brought to near timing closure with one to two rounds of small modifications by physical design engineers. HiDaP has been fully integrated in the design flows of the company and its development remains an ongoing effort.A causa de l'increment de la densitat de components en els xip i les noves restriccions de disseny imposades pels últims nodes de fabricació, el rol de l'algorísmia en l'automatització del disseny electrònic ha esdevingut clau per poder implementar circuits integrats. Dos dels passos crucials en el procés de disseny físic és el placement de macros i assegurar la correcció de les regles de disseny un cop les restriccions de timing del circuit són satisfetes. Aquesta tesi proposa contribucions per ajudar en aquests dos reptes, facilitant laboriosos passos manuals en el procés i ajudant als enginyers de disseny físic a obtenir millors resultats en menys temps. La primera contribució és el routing "under-the-cell", una proposta per connectar cel·les estàndard usant pins laterals en les capes de metall inferior de manera sistemàtica. L'objectiu és reduir la congestió en les capes de metall superior causades per l'ús de metall i vies, i així disminuir el nombre de violacions de regles de disseny. Per permetre la connexió lateral de cel·les, estenem una llibreria de cel·les estàndard amb dissenys que incorporen connexions laterals. També proposem modificacions locals al placement per permetre explotar aquest tipus de connexions més sovint. Els resultats experimentals mostren una reducció significativa en el nombre de pins, vies i nombre de violacions de regles de disseny, amb un impacte negligible en wirelength i timing. La segona contribució, desenvolupada en col·laboració amb eSilicon (una empresa capdavantera en disseny ASIC), és el desenvolupament de HiDaP, una eina de macro placement per a dissenys industrials actuals. La proposta segueix un procés multinivell per fer el floorplan de blocks jeràrquics, formats per macros i cel·les estàndard. Mitjançant la informació RTL disponible en la netlist, l'afinitat de dataflow entre els mòduls es modela i minimitza per trobar macro placements amb bones propietats de wirelength i timing. La proposta també incorpora la possibilitat de rebre input addicional de l'enginyer, com ara suggeriments de les posicions de les macros. Finalment, també usa mètodes espectrals i de forçes per guiar la cerca de floorplans. Els resultats experimentals mostren que els dissenys generats amb HiDaP són millors que els obtinguts per eines comercials capdavanteres de EDA. Els resultats també mostren que els dissenys presentats poden obtenir un wirelength similar i millor timing que macro placements obtinguts manualment, usats per fabricació. Alguns dissenys obtinguts per HiDaP s'han dut fins a timing-closure en una o dues rondes de modificacions incrementals per part d'enginyers de disseny físic. L'eina s'ha integrat en el procés de disseny de eSilicon i el seu desenvolupament continua més enllà de les aportacions a aquesta tesi

Efficient quadratic placement for FPGAs.

Field Programmable Gate Arrays (FPGAs) are widely used in industry because they can implement any digital circuit on site simply by specifying programmable logic and their interconnections. However, this rapid prototyping advantage may be adversely affected because of the long compile time, which is dominated by placement and routing. This issue is of great importance, especially as the logic capacities of FPGAs continue to grow. This thesis focuses on the placement phase of FPGA Computer Aided Design (CAD) flow and presents a fast, high quality, wirelength-driven placement algorithm for FPGAs that is based on the quadratic placement approach. In this thesis, multiple iterations of equation solving process together with a linear wirelength reduction technique are introduced. The proposed algorithm efficiently handles the main problems with the quadratic placement algorithm and produces a fast and high quality placement. Experimental results, using twenty benchmark circuits, show that this algorithm can achieve comparable total wirelength and, on average, 5X faster run time when compared to an existing, state-of-the-art placement tool. This thesis also shows that the proposed algorithm delivers promising preliminary results in minimizing the critical path delay while maintaining high placement quality.Dept. of Electrical and Computer Engineering. Paper copy at Leddy Library: Theses & Major Papers - Basement, West Bldg. / Call Number: Thesis2005 .X86. Source: Masters Abstracts International, Volume: 44-04, page: 1946. Thesis (M.A.Sc.)--University of Windsor (Canada), 2005

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