For the development and evaluation of computer-aided design tools for partitioning, floorplanning, placement, and routing of digital circuits, a huge amount of benchmark circuits with suitable characteristic parameters is required. Observing the lack of industrial benchmark circuits available for use in evaluation tools, one could consider to actually generate synthetic circuits. In this paper, we extend a graph-based benchmark generation method to include functional information. The use of a user-specified component library, together with the restriction that no combinational loops are introduced, now broadens the scope to timing-driven and logic optimizer applications. Experiments show that the resemblance between the characteristic Rent curve and the net degree distribution of real versus synthetic benchmark circuits is hardly influenced by the suggested extensions and that the resulting circuits are more realistic than before. An indirect validation verifies that existing partitioning programs have comparable behavior for both real and synthetic circuits. The problems of accounting for timing-aware characteristics in synthetic benchmarks are addressed in detail and suggestions for extensions are included.

No abstract

No abstract

Over the years different interpretations of Rent's rule and different ways of estimating the Rent parameters have emerged. In general, these parameters are extracted from the average terminal-gate relationship for a set of circuit modules. We show that this relationship (the Rent characteristic) strongly depends on the definition of the circuit modules. These can be generated in many different ways, either from the topology of the circuit graph or, in a geometric way, by cutting regions from a circuit layout. The resulting Rent parameters can be quite far apart. This paper discusses the fundamental differences between the topological and the two geometric interpretations of the Rent characteristic that are expected to be most appropriate for current wirelength estimation techniques. Our discussion is based on experimental data, as well as on a theoretical model that can be used to estimate certain geometric Rent characteristics from the topological Rent parameters. Using this model, we derive a theoretical lower limit to the value of the average geometric Rent exponent. We also study the impact of the placement approach and placement quality on the geometric Rent characteristics.