An Analytical Placement Algorithm with Routing topology Optimization

Placement is a critical step in the modern VLSI design flow, as it dramatically determines the performance of circuit designs. Most placement algorithms estimate the design performance with a half-perimeter wirelength (HPWL) and target it as their optimization objective. The wirelength model used by these algorithms limits their ability to optimize the internal routing topology, which can lead to discrepancies between estimates and the actual routing wirelength. This paper proposes an analytical placement algorithm to optimize the internal routing topology. We first introduce a differential wirelength model in the global placement stage based on an ideal routing topology RSMT. Through screening and tracing various segments, this model can generate meaningful gradients for interior points during gradient computation. Then, after global placement, we propose a cell refinement algorithm and further optimize the routing wirelength with swift density control. Experiments on ICCAD2015 benchmarks show that our algorithm can achieve a 3% improvement in routing wirelength, 0.8% in HPWL, and 23.8% in TNS compared with the state-of-the-art analytical placer.