There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality.

Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …

I and i

Due to its potential to greatly accelerate a wide variety of applications, reconfigurable computing has become a subject of a great deal of research. Its key feature is the ability to perform computations in hardware to increase performance, while retaining much of the flexibility of a software solution. In this survey, we explore the hardware aspects of reconfigurable computing machines, from single chip architectures to multi-chip systems, including internal structures and external coupling. We also focus on the software that targets these machines, such as compilation tools that map high-level algorithms directly to the reconfigurable substrate. Finally, we consider the issues involved in run-time reconfigurable systems, which reuse the configurable hardware during program execution.

/pdf/reconfigurable-computing-a-survey-of-systems-and-software-1bqra3qfdt.pdf

Reconfigurable computing: a survey of systems and software

International Technology Roadmap for Semiconductors 2003の要求清浄度について － シリコンウエハ表面と雰囲気環境に要求される清浄度, 分析方法の現状について －

Computational geometry

A geometric program (GP) is a type of mathematical optimization problem characterized by objective and constraint functions that have a special form. Recently developed solution methods can solve even large-scale GPs extremely efficiently and reliably; at the same time a number of practical problems, particularly in circuit design, have been found to be equivalent to (or well approximated by) GPs. Putting these two together, we get effective solutions for the practical problems. The basic approach in GP modeling is to attempt to express a practical problem, such as an engineering analysis or design problem, in GP format. In the best case, this formulation is exact; when this is not possible, we settle for an approximate formulation. This tutorial paper collects together in one place the basic background material needed to do GP modeling. We start with the basic definitions and facts, and some methods used to transform problems into GP format. We show how to recognize functions and problems compatible with GP, and how to approximate functions or data in a form compatible with GP (when this is possible). We give some simple and representative examples, and also describe some common extensions of GP, along with methods for solving (or approximately solving) them.

/pdf/a-tutorial-on-geometric-programming-47sdznbzxw.pdf

A tutorial on geometric programming

Given a set of pins and a set of obstacles on a plane, an obstacle-avoiding rectilinear Steiner minimal tree (OARSMT) connects these pins, possibly through some additional points (called the Steiner points), and avoids running through any obstacle to construct a tree with a minimal total wirelength. The OARSMT problem becomes more important than ever for modern nanometer IC designs which need to consider numerous routing obstacles incurred from power networks, prerouted nets, IP blocks, feature patterns for manufacturability improvement, antenna jumpers for reliability enhancement, etc. Consequently, the OARSMT problem has received dramatically increasing attention recently. Nevertheless, considering obstacles significantly increases the problem complexity, and thus, most previous works suffer from either poor quality or expensive running time. Based on the obstacle-avoiding spanning graph, this paper presents an efficient algorithm with some theoretical optimality guarantees for the OARSMT construction. Unlike previous heuristics, our algorithm guarantees to find an optimal OARSMT for any two-pin net and many higher pin nets. Extensive experiments show that our algorithm results in significantly shorter wirelengths than all state-of-the-art works.

/pdf/obstacle-avoiding-rectilinear-steiner-tree-construction-55ulu9atsv.pdf

Obstacle-Avoiding Rectilinear Steiner Tree Construction Based on Spanning Graphs

Three Dimensional Integrated Circuits (3D ICs) are currently being developed to improve existing 2D designs by providing smaller chip areas and higher performance and lower power consumption. However, before 3D ICs become a viable technology, the 3D design space needs to be fully explored and 3D EDA tools need to be developed. To help explore the 3D design space and help fill the need for 3D EDA tools, the 3D Floorplan and Power/Ground (P/G) Co-synthesis tool is developed in this work, which develops the floorplan and the P/G network concurrently. Most current 3D IC floorplanners neglect the effects of the 3D P/G network on the design, which may lead to large IR drops in the circuit. To create feasible floorplans with efficient P/G networks, the 3D Floorplan and P/G Co-synthesis tool optimizes the floorplan in terms of wirelength, area and P/G routing area and IR drops. The tool integrates a 3D B*-tree floorplan representation, a resistive P/G mesh, and a Simulated Annealing (SA) engine to explore the 3D floorplan and P/G network. The results of experiments using the 3D Floorplan and P/G Co-synthesis tool show that 3D ICs tend to increase the P/G routing area while decreasing the IR drops in the circuit. By considering the IR drop while floorplanning, exploring the 3D P/G design space, and evaluating 3D IC's effect on 3D P/G networks, the 3D Floorplan and P/G Co-synthesis tool can develop a more efficient 3D IC.

http://nicsefc.ee.tsinghua.edu.cn/media/publications/2010/ASPDAC10_81.pdf

Three-dimensional integrated circuits (3D IC) floorplan and power/ground network co-synthesis

Digital microfluidic biochips have emerged as a popular alternative for laboratory experiments. Pin-count reduction and cross-contamination avoidance are key design considerations for practical applications with different droplets being transported and manipulated on highly integrated biochips. This paper presents the first design automation flow that considers the cross-contamination problems on pin-constrained biochips. The factors that make the problems harder on pin-constrained biochips are explored. To cope with these cross contaminations, this paper proposes: 1) early crossing minimization algorithms during placement, and 2) systematic wash droplet scheduling and routing that require only one extra control pin and zero assay completion time overhead for practical bioassays. Experimental results show the effectiveness and scalability of our algorithms for practical bioassays.

Cross-Contamination Aware Design Methodology for Pin-Constrained Digital Microfluidic Biochips

Global routing is an important step for physical design. In this paper, we develop a new global router, NTUgr, that contains three major steps: prerouting, initial routing, and enhanced iterative negotiation-based rip-up/rerouting (INR). The prerouting employs a two-stage technique of congestion-hotspot historical cost pre-increment followed by small bounding-box area routing. The initial routing is based on efficient iterative monotonic routing. For traditional INR, it has evolved as the main stream for the state-of-the-art global routers, which reveals its great ability to reduce the congestion and overflow. As pointed out by recent works, however, traditional INR may get stuck at local optima as the number of iterations increases. To remedy this deficiency, we replace INR by enhanced iterative forbidden-region rip-up/rerouting (IFR) which features three new techniques of (1) multiple forbidden regions expansion, (2) critical subnet rerouting selection, and (3) look-ahead historical cost increment. Experimental results show that NTUgr achieves high-quality results for the ISPD'07 and ISPD'08 benchmarks for both overflow and runtime.

High-performance global routing with fast overflow reduction

In this brief, we introduce the concept of the P*-admissible representation and propose a P*-admissible, transitive closure graph-based representation for general floorplans, called transitive closure graph (TCG), and show its superior properties. TCG combines the advantages of popular representations such as sequence pair, BSG, and B*-tree. Like sequence pair and BSG, but unlike O-tree, B*-tree, and CBL, TCG is P*-admissible. Like B*-tree, but unlike sequence pair, BSG, O-tree, and CBL, TCG does not need to construct additional constraint graphs for the cost evaluation during packing, implying a faster runtime. Further, TCG supports incremental update during operations and keeps the information of boundary modules as well as the shapes and the relative positions of modules in the representation. More importantly, the geometric relation among modules is transparent not only to the TCG representation but also to its operation, facilitating the convergence to a desired solution. All of these properties make TCG an effective and flexible representation for handling the general floorplan/placement design problems with various constraints. Experimental results show the promise of TCG.

/pdf/tcg-a-transitive-closure-graph-based-representation-for-2dbdalkj8c.pdf

Yao-Wen Chang

Papers

Obstacle-Avoiding Rectilinear Steiner Tree Construction Based on Spanning Graphs

Three-dimensional integrated circuits (3D IC) floorplan and power/ground network co-synthesis

Cross-Contamination Aware Design Methodology for Pin-Constrained Digital Microfluidic Biochips

High-performance global routing with fast overflow reduction

TCG: A transitive closure graph-based representation for general floorplans