Towards accelerating irregular EDA applications with GPUs

Recently graphic processing units (GPUs) are rising as a new vehicle for high-performance, general purpose computing. It is attractive to unleash the power of GPU for Electronic Design Automation (EDA) computations to cut the design turn-around time of VLSI systems. EDA algorithms, however, generally depend on irregular data structures such as sparse matrix and graphs, which pose major challenges for efficient GPU implementations. In this paper, we propose high-performance GPU implementations for a set of important irregular EDA computing patterns including sparse matrix, graph algorithms and message-passing algorithms. In the sparse matrix domain, we solve a core problem, sparse-matrix vector product (SMVP). On a wide range of EDA problem instances, our SMVP implementation outperforms all prior work and achieves a speedup up to 50× over the CPU baseline implementation. The GPU based SMVP procedure is applied to successfully accelerate two core EDA computing engines, timing analysis and linear system solution. In the graph algorithm domain, we developed a SMVP based formulation to efficiently solve the breadth-first search (BFS) problem on GPUs. We also developed efficient solutions for two message-passing algorithms, survey propagation (SP) based SAT solution and a register-transfer level (RTL) simulation. Our results prove that GPUs have a strong potential to accelerate EDA computing through designing GPU-friendly algorithms and/or re-organizing computing structures of sequential algorithms.