Lexicographic path searches for FPGA routing

This dissertation reports on studies of the application of lexicographic graph searches to solve problems in FPGA detailed routing. Our contributions include the derivation of iteration limits for scalar implementations of negotiation congestion for standard floating point types and the identification of pathological cases for path choice. In the study of the routability-driven detailed FPGA routing problem, we show universal detailed routability is NP-complete based on a related proof by Lee and Wong. We describe the design of a lexicographic composition operator of totally-ordered monoids as path cost metrics and show its optimality under an adapted A* search. Our new router, CornNC, based on lexicographic composition of congestion and wirelength, established a new minimum track count for the FPGA Place and Route Challenge. For the problem of long-path timing-driven FPGA detailed routing, we show that long-path budgeted detailed routability is NP-complete by reduction to universal detailed routability. We generalise the lexicographic composition to any finite length and verify its optimality under A* search. The application of the timing budget solution of Ghiasi et al. is used to solve the long-path timing budget problem for FPGA connections. Our delay-clamped spiral lexicographic composition design, SpiralRoute, ensures connection based budgets are always met, thus achieves timing closure when it successfully routes. For 113 test routing instances derived from standard benchmarks, SpiralRoute found 13 routable instances with timing closure that were unroutable by a scalar negotiated congestion router and achieved timing closure in another 27 cases when the scalar router did not, at the expense of increased runtime. We also study techniques to improve SpiralRoute runtimes, including a data structure of a trie augmented by data stacks for minimum element retrieval, and the technique of step tomonoid elimination in reducing the retrieval depth in a trie of stacks structure

A Router for Symmetrical FPGAs based on Exact Routing Density Evaluation

Abstract This paper presents a new performance and routability driven routing algorithm for symmetrical array based field-programmable gate arrays (FPGAs). A key contribution of our work is to overcome one essential limitation of the previous routing algorithms: inaccurate estimations of routing density which were too general for symmetrical FPGAs. To this end, we derive an exact routing density calculation that is based on a precise analysis of the structure (switch block) of symmetrical FPGAs, and utilize it consistently in global and detailed routings. With an introduction of the proposed accurate routing metrics, we design a new routing algorithm called a cost-effective net-decomposition based routing which is fast, and yet produces remarkable routing results in terms of both routability and path/net delays. We performed an extensive experiment to show the effectiveness of our algorithm based on the proposed cost metrics

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

Accelerating FPGA routing through algorithmic enhancements and connection-aware parallelization

Routing is a crucial step in Field Programmable Gate Array (FPGA) physical design, as it determines the routes of signals in the circuit, which impacts the design implementation quality significantly. It can be very time-consuming to successfully route all the signals of large circuits that utilize many FPGA resources. Attempts have been made to shorten the routing runtime for efficient design exploration while expecting high-quality implementations. In this work, we elaborate on the connection-based routing strategy and algorithmic enhancements to improve the serial FPGA routing. We also explore a recursive partitioning-based parallelization technique to further accelerate the routing process. To exploit more parallelism by a finer granularity in both spatial partitioning and routing, a connection-aware routing bounding box model is proposed for the source-sink connections of the nets. It is built upon the location information of each connection’s source, sink, and the geometric center of the net that the connection belongs to, different from the existing net-based routing bounding box that covers all the pins of the entire net. We present that the proposed connection-aware routing bounding box is more beneficial for parallel routing than the existing net-based routing bounding box. The quality and runtime of the serial and multi-threaded routers are compared to the router in VPR 7.0.7. The large heterogeneous Titan23 designs that are targeted to a detailed representation of the Stratix IV FPGA are used for benchmarking. With eight threads, the parallel router using the connection-aware routing bounding box model reaches a speedup of 6.1× over the serial router in VPR 7.0.7, which is 1.24× faster than the one using the existing net-based routing bounding box model, while reducing the total wire-length by 10% and the critical path delay by 7%

A framework to explore low-power architecture and variability-aware timing estimation of FPGAs

Master'sMASTER OF ENGINEERIN

The IPS fidelity scale as a guideline to implement Supported Employment

info:eu-repo/semantics/publishe

A survey of DA techniques for PLD and FPGA based systems

Programmable logic devices (PLDs) are gaining in acceptance, of late, for designing systems of all complexities ranging from glue logic to special purpose parallel machines. Higher densities and integration levels are made possible by the new breed of complex PLDs and FPGAs. The added complexities of these devices make automatic computer aided tools indispensable for achieving good performance and a high usable gate-count. In this article, we attempt to present in an unified manner, the different tools and their underlying algorithms using an example of a vending machine controller as an illustrative example. Topics covered include logic synthesis for PLDs and FPGAs along with an in-depth survey of important technology mapping, partitioning and place and route algorithms for different FPGA architectures.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/31206/1/0000108.pd