This paper proposes OpenPARF, an open-source placement and routing framework for large-scale FPGA designs. OpenPARF is implemented with the deep learning toolkit PyTorch and supports massive parallelization on GPU. The framework proposes a novel asymmetric multi-electrostatic field system to solve FPGA placement. It considers fine-grained routing resources inside configurable logic blocks (CLBs) for FPGA routing and supports large-scale irregular routing resource graphs. Experimental results on ISPD 2016 and ISPD 2017 FPGA contest benchmarks and industrial benchmarks demonstrate that OpenPARF can achieve 0.4-12.7% improvement in routed wirelength and more than $2\times$ speedup in placement. We believe that OpenPARF can pave the road for developing FPGA physical design engines and stimulate further research on related topics.

Multi-die FPGAs are crucial components in modern computing systems, particularly for high-performance applications such as artificial intelligence and data centers. Super long lines (SLLs) provide interconnections between super logic regions (SLRs) for a multi-die FPGA on a silicon interposer. They have significantly higher delay compared to regular interconnects, which need to be minimized. With the increase in design complexity, the growth of SLLs gives rise to challenges in timing and power closure. Existing placement algorithms focus on optimizing the number of SLLs but often face limitations due to specific topologies of SLRs. Furthermore, they fall short of achieving continuous optimization of SLLs throughout the entire placement process. This highlights the necessity for more advanced and adaptable solutions. In this paper, we propose LEAPS, a comprehensive, systematic, and adaptable multi-die FPGA placement algorithm for SLL minimization. Our contributions are threefold: 1) proposing a high-performance global placement algorithm for multi-die FPGAs that optimizes the number of SLLs while addressing other essential design constraints such as wirelength, routability, and clock routing; 2) introducing a versatile method for more complex SLR topologies of multi-die FPGAs, surpassing the limitations of existing approaches; and 3) executing continuous optimization of SLLs across the whole placement stages, including global placement (GP), legalization (LG), and detailed placement (DP). Experimental results demonstrate the effectiveness of LEAPS in reducing SLLs and enhancing circuit performance. Compared with the most recent state-of-the-art (SOTA) method, LEAPS achieves an average reduction of 43.08% in SLLs and 9.99% in HPWL, while exhibiting a notable 34.34$\times$ improvement in runtime.