Enhancing Delay-Driven LUT Mapping With Boolean Decomposition

Ashenhurst-Curtis decomposition (ACD) is a decomposition technique used, in particular, to map combinational logic into lookup tables (LUTs) structures when synthesizing hardware designs. However, available implementations of ACD suffer from excessive complexity, search-space restrictions, and slow run time, which limit their applicability and scalability. This article presents a novel fast and versatile technique of ACD suitable for delay optimization. We use this new formulation to compute two-level decompositions into a variable number of LUTs and enhance delay-driven LUT mapping by performing ACD on the fly. Compared to state-of-the-art technology mapping, experiments on heavily optimized benchmarks demonstrate an average delay improvement of 12.39% and area reduction of 2.20% with affordable run time. Additionally, our method improves 4 of the best delay results in the EPFL synthesis competition without employing design-space exploration techniques. Moreover, we use the new formulation to compute exact decompositions into fixed LUT cascade structures of two LUTs, which have efficient implementations in the architecture of AMD field-programmable gate arrays. Compared to the state-of-the-art method, this new formulation leads to an average reduction of 6.22% in delay, 3.82% in area, and 3.09% in the edge count for better run time.