Runtime and quality tradeoffs in FPGA placement and routing

Abstract Many applications of FPGAs, especially logic emulation and custom computing, require the quick placement and routing of circuit designs. In these applications, the advantages FPGA-based systems have over software simulation are diminished by the long run-times of current CAD software used to map the circuit onto FPGAs. To improve the run-time advantage of FPGA systems, users may be willing to trade some mapping quality for a reduction in CAD tool runtimes. In this paper, we seek to establish how much quality degradation is necessary to achieve a given runtime improvement. For this purpose, we implemented and investigated numerous placement and routing algorithms for FPGAs. We also developed new tradeoff-oriented algorithms, where a tuning parameter can be used to control this quality vs. runtime tradeoff. We show how different algorithms can achieve different points within this tradeoff spectrum, as well as how a single algorithm can be tuned to form a curve in the spectrum. We demonstrate that the algorithms vary widely in their tradeoffs, with the fastest algorithm being 8x faster than the slowest, and the highest quality algorithm being 5x better than the least quality algorithm. Compared to the commercial Xilinx CAD tools, we can achieve a 3x speed-up by allowing 1.27x degradation in quality, and a factor of 1.6x quality improvement with 2x slowdown

High-Performance Fpaa Design For Hierarchical Implementation Of Analog And Mixed-Signal Systems

The design complexity of today's IC has increased dramatically due to the high integration allowed by advanced CMOS VLSI process. A key to manage the increased design complexity while meeting the shortening time-to-market is design automation. In digital world, the field-programmable gate arrays (FPGAs) have evolved to play a very important role by providing ASIC-compatible design methodologies that include design-for-testability, design optimization and rapid prototyping. On the analog side, the drive towards shorter design cycles has demanded the development of high performance analog circuits that are configurable and suitable for CAD methodologies. Field-programmable analog arrays (FPAAs) are intended to achieve the benefits for analog system design as FPGAs have in the digital field. Despite of the obvious advantages of hierarchical analog design, namely short time-to-market and low non-recurring engineering (NRE) costs, this approach has some apparent disadvantages. The redundant devices and routing resources for programmability requires extra chip area, while switch and interconnect parasitics cause considerable performance degradation. To deliver a high-performance FPAA, effective methodologies must be developed to minimize those adversary effects. In this dissertation, three important aspects in the FPAA design are studied to achieve that goal: the programming technology, the configurable analog block (CAB) design and the routing architecture design. Enabled by the Laser MakelinkTM technology, which provides nearly ideal programmable switches, channel segmentation algorithms are developed to improve channel routability and reduce interconnect parasitics. Segmented routing are studied and performance metrics accounting for interconnect parasitics are proposed for performance-driven analog routing. For large scale arrays, buffer insertions are considered to further reduce interconnection delay and cross-coupling noise. A high-performance, highly flexible CAB is developed to realized both continuous-mode and switched-capacitor circuits. In the end, the implementation of an 8-bit, 50MSPS pipelined A/D converter using the proposed FPAA is presented as an example of the hierarchical analog design approach, with its key performance specifications discussed

Power Management for Deep Submicron Microprocessors

As VLSI technology scales, the enhanced performance of smaller transistors comes at the expense of increased power consumption. In addition to the dynamic power consumed by the circuits there is a tremendous increase in the leakage power consumption which is further exacerbated by the increasing operating temperatures. The total power consumption of modern processors is distributed between the processor core, memory and interconnects. In this research two novel power management techniques are presented targeting the functional units and the global interconnects. First, since most leakage control schemes for processor functional units are based on circuit level techniques, such schemes inherently lack information about the operational profile of higher-level components of the system. This is a barrier to the pivotal task of predicting standby time. Without this prediction, it is extremely difficult to assess the value of any leakage control scheme. Consequently, a methodology that can predict the standby time is highly beneficial in bridging the gap between the information available at the application level and the circuit implementations. In this work, a novel Dynamic Sleep Signal Generator (DSSG) is presented. It utilizes the usage traces extracted from cycle accurate simulations of benchmark programs to predict the long standby periods associated with the various functional units. The DSSG bases its decisions on the current and previous standby state of the functional units to accurately predict the length of the next standby period. The DSSG presents an alternative to Static Sleep Signal Generation (SSSG) based on static counters that trigger the generation of the sleep signal when the functional units idle for a prespecified number of cycles. The test results of the DSSG are obtained by the use of a modified RISC superscalar processor, implemented by SimpleScalar, the most widely accepted open source vehicle for architectural analysis. In addition, the results are further verified by a Simultaneous Multithreading simulator implemented by SMTSIM. Leakage saving results shows an increase of up to 146% in leakage savings using the DSSG versus the SSSG, with an accuracy of 60-80% for predicting long standby periods. Second, chip designers in their effort to achieve timing closure, have focused on achieving the lowest possible interconnect delay through buffer insertion and routing techniques. This approach, though, taxes the power budget of modern ICs, especially those intended for wireless applications. Also, in order to achieve more functionality, die sizes are constantly increasing. This trend is leading to an increase in the average global interconnect length which, in turn, requires more buffers to achieve timing closure. Unconstrained buffering is bound to adversely affect the overall chip performance, if the power consumption is added as a major performance metric. In fact, the number of global interconnect buffers is expected to reach hundreds of thousands to achieve an appropriate timing closure. To mitigate the impact of the power consumed by the interconnect buffers, a power-efficient multi-pin routing technique is proposed in this research. The problem is based on a graph representation of the routing possibilities, including buffer insertion and identifying the least power path between the interconnect source and set of sinks. The novel multi-pin routing technique is tested by applying it to the ISPD and IBM benchmarks to verify the accuracy, complexity, and solution quality. Results obtained indicate that an average power savings as high as 32% for the 130-nm technology is achieved with no impact on the maximum chip frequency

A Multiple-objective ILP based Global Routing Approach for VLSI ASIC Design

A VLSI chip can today contain hundreds of millions transistors and is expected to contain more than 1 billion transistors in the next decade. In order to handle this rapid growth in integration technology, the design procedure is therefore divided into a sequence of design steps. Circuit layout is the design step in which a physical realization of a circuit is obtained from its functional description. Global routing is one of the key subproblems of the circuit layout which involves finding an approximate path for the wires connecting the elements of the circuit without violating resource constraints. The global routing problem is NP-hard, therefore, heuristics capable of producing high quality routes with little computational effort are required as we move into the Deep Sub-Micron (DSM) regime. In this thesis, different approaches for global routing problem are first reviewed. The advantages and disadvantages of these approaches are also summarized. According to this literature review, several mathematical programming based global routing models are fully investigated. Quality of solution obtained by these models are then compared with traditional Maze routing technique. The experimental results show that the proposed model can optimize several global routing objectives simultaneously and effectively. Also, it is easy to incorporate new objectives into the proposed global routing model. To speedup the computation time of the proposed ILP based global router, several hierarchical methods are combined with the flat ILP based global routing approach. The experimental results indicate that the bottom-up global routing method can reduce the computation time effectively with a slight increase of maximum routing density. In addition to wire area, routability, and vias, performance and low power are also important goals in global routing, especially in deep submicron designs. Previous efforts that focused on power optimization for global routing are hindered by excessively long run times or the routing of a subset of the nets. Accordingly, a power efficient multi-pin global routing technique (PIRT) is proposed in this thesis. This integer linear programming based techniques strives to find a power efficient global routing solution. The results indicate that an average power savings as high as 32\% for the 130-nm technology can be achieved with no impact on the maximum chip frequency

Algorithms in computer-aided design of VLSI circuits.

With the increased complexity of Very Large Scale Integrated (VLSI) circuits,Computer Aided Design (CAD) plays an even more important role. Top-downdesign methodology and layout of VLSI are reviewed. Moreover, previouslypublished algorithms in CAD of VLSI design are outlined.In certain applications, Reed-Muller (RM) forms when implemented withAND/XOR or OR/XNOR logic have shown some attractive advantages overthe standard Boolean logic based on AND/OR logic. The RM forms implementedwith OR/XNOR logic, known as Dual Forms of Reed-Muller (DFRM),is the Dual form of traditional RM implemented with AND /XOR.Map folding and transformation techniques are presented for the conversionbetween standard Boolean and DFRM expansions of any polarity. Bidirectionalmulti-segment computer based conversion algorithms are also proposedfor large functions based on the concept of Boolean polarity for canonicalproduct-of-sums Boolean functions. Furthermore, another two tabular basedconversion algorithms, serial and parallel tabular techniques, are presented forthe conversion of large functions between standard Boolean and DFRM expansionsof any polarity. The algorithms were tested for examples of up to 25variables using the MCNC and IWLS'93 benchmarks.Any n-variable Boolean function can be expressed by a Fixed PolarityReed-Muller (FPRM) form. In order to have a compact Multi-level MPRM(MMPRM) expansion, a method called on-set table method is developed.The method derives MMPRM expansions directly from FPRM expansions.If searching all polarities of FPRM expansions, the MMPRM expansions withthe least number of literals can be obtained. As a result, it is possible to findthe best polarity expansion among 2n FPRM expansions instead of searching2n2n-1 MPRM expansions within reasonable time for large functions. Furthermore,it uses on-set coefficients only and hence reduces the usage of memorydramatically.Currently, XOR and XNOR gates can be implemented into Look-Up Tables(LUT) of Field Programmable Gate Arrays (FPGAs). However, FPGAplacement is categorised to be NP-complete. Efficient placement algorithmsare very important to CAD design tools. Two algorithms based on GeneticAlgorithm (GA) and GA with Simulated Annealing (SA) are presented for theplacement of symmetrical FPGA. Both of algorithms could achieve comparableresults to those obtained by Versatile Placement and Routing (VPR) toolsin terms of the number of routing channel tracks

Techniques de routage pseudo-aléatoire pour une application micro-électronique

Résumé La problématique de routage est très actuelle. On en trouve des applications dans les GPS, les prévisions de trafic routier, mais aussi pour le prototypage sur FPGA, la fabrication de puces électroniques ou le trafic TCP/IP sur Internet. On trouve des publications sur le sujet depuis plusieurs dizaines d'années, mais on observe actuellement une recrudescence confirmant l'actualité, l'importance et la complexité de ce problème. Cette thèse concerne le routage et ses ressources pour une application dans un nouveau type de système micro-électronique, nommé le WaferBoardTM . Son noyau consiste en un circuit électronique intégré à l'échelle d'une tranche de silicium (wafer). Peu d'applications commerciales de la micro-électronique ont exploité ce niveau d'intégration. Ce système de prototypage rapide vise à réduire d'un ou deux ordres de grandeur le temps de développement de systèmes électroniques. Il nécessite un ensemble d'outils logiciel de support, dont un outil de routage très rapide, capable de produire des solutions valables en des temps de l'ordre de la minute, et de certaines fonctionnalités spécifiques, l'équilibrage de délai ou le reroutage à la volée, au sein d'une netlist déjà routée. La problématique de routage pour cette application peut être imagée comme suit. Étant donné un réseau routier régulier (les routes d’Amériques du Nord en version cartésienne par exemple) et 100,000 voitures au départ lundi à 8h a.m. dans tout le pays avec des sources et destinations très variées; calculer les chemins pour toutes les voitures de telle sorte qu'aucune ne prenne la même route dans la journée. Il est 7h59 a.m, vous avez 1 minute, et des ponts sont inaccessibles pour travaux, en voici la liste. Cet exemple simpliste donne une idée des ordres de grandeurs de la problématique de routage que l'on cherche à résoudre pour cette application. Un algorithme de routage prend en paramètres deux structures de données : un graphe (ou réseau d'interconnexions) constitué de n\oe{}uds (sommets) et d'arcsUn arc relie deux sommets du graphe, et une netlistDans ce contexte, un netlist réfère à une liste d'interconnexions entre composants, liste de n\oe{}uds électriques dont les points de départ et d'arrivée sont positionnés géographiquement. Ainsi, au lieu de voitures, il s'agit de router des signaux électriques dont les points de départ et d'arrivée sont dictés par la position des broches des composants placés sur le système de prototypage. Un réseau régulier maillé mufti-dimensionnel (plus généralement appelé « réseau d'interconnexions ») sert de réseau routier dont certaines routes sont défectueuses, des ponts inaccessibles. En effet, le réseau d'interconnexions est un circuit électronique intégré à l'échelle d'une tranche de silicium complète, ce qui implique la présence de défectuosités au sein de chaque circuit fabriqué. Contrairement aux circuits électroniques classiques, où chacun est testé et les défectueux écartés, une intégration à l'échelle de la tranche demande de fortes redondances au sein du circuit pour minimiser le taux de rejets. Pour l'application du WaferBoard, un certain nombre d'éléments du réseau d'interconnexions seront fort probablement défectueux sur chaque circuit produit; l'algorithme de routage se doit de prendre en compte ces éléments très particuliers. Cette contrainte ne se retrouve pas dans les applications plus classiques des routeurs que l'on retrouve dans les PCB, circuits FPGA ou circuits VLSI. D'autres contraintes s'appliquent à ce projet particulier : la latence induite par la technologie est environ un ordre de grandeur plus importante que celle dans les circuits sur PCB, ce qui impose un routage orienté vers sa réduction.----------Abstract The routing problem is very actual. Applications are found in GPS, road traffic forecast, but also for prototyping on FPGA, or TCP/IP traffic on the Internet. Publications on the subject have existed for several decades, but new publications keep appearing, confirming the importance and complexity of the problem. This thesis deals with routing and the resources it requires for a new category of micro-electronic applications, called the WaferBoard. It is an electronic circuit integrated at the wafer scale. Few commercial applications of micro-electronics have exploited this level of integration. This rapid prototyping system aims at reducing by one or two orders of magnitude the development time of digital circuits. It requires a very fast routing tool, capable of producing viable solutions in a few minutes, with dedicated functionality such as balancing delays and rerouting on the fly parts of a netlist. The routing problem for this application can be pictured as follows. Given a regular road network of the size of north america, if 100.000 cars were to start Monday 8 a.m. across the continent with a wide variety of sources and destinations; the challenge is to compute paths for all cars so none of them take the same route that day. It is 7:59 am, you have 1 minute, and some bridges are under road work: here is the list. This simplistic example gives an idea of the orders of magnitude of the problem that need to be solved for this application. A routing algorithm takes as input: a graph (or interconnection network) made of nodes and edges, and a netlst, a list of electrical nodes with starting and ending points physically placed. Therefore, instead of cars, the problem consists of routing electrical signals with points of departure and arrival dictated by the pin position of components placed on the prototyping system. A regular, multi-dimensional mesh (also called "interconnection network") serves as a road network, which contains defective roads and inaccessible bridges. Indeed, the interconnection network is an electronic circuit integrated across a full wafer, implying the presence of defects within each manufactured circuit. Unlike conventional electronic circuits, where each is tested and defective ones are set apart, wafer scale integrated applications require lots of redundancy in the circuit to minimize the rejection rate. In the WaferBoard, a number of elements of the interconnection network will be defective in each circuit; the routing algorithm must take into account these very specific elements. This constraint is not found in the classic applications of routers found in PCB, FPGA or VLSI circuits. Other restrictions apply to this particular project: the latency induced by the technology is about one order of magnitude greater than that in the circuits of PCBs, which requires a routing oriented towards computation time reduction. This constraint partly explains the network architecture used. Within the WaferIC, the shortest distance is not necessarily the one that offers the smallest latency. This property of the network complexifies the routing problem. Balancing delays within a group of arbitrary size nets is a necessary feature of the routing algorithm, and the difficulty is amplified by the computation time limit. Indeed, the interest of the application is to reduce the time for a user to test a circuit: the time of setup is extremely short, and estimated at a few minutes only