Despite the impressive progress of logic synthesis in the past decade, finding the best architecture for a given circuit still remains an open problem and largely unsolved. In most of the arithmetic circuits the outcome of the synthesis tools depends on the input description of the circuit. In other words, logic synthesis optimisations hardly change the architecture of the given circuit. However, once the input description belongs to the right architecture, logic synthesis does an excellent job in optimising the circuit locally. This is the reason why designers still rely on well studied architectures. The main difficulty in finding the suitable architecture for an arithmetic circuit is the high fan-in dependencies between inputs and outputs (i.e., each output bit depends on a large portion of input bits). Hence, imposing hierarchy and structure is the key to find the best architecture. Although factorisation is one potential solution for this problem, the computational complexity of ...
Ajay K. Verma, Philip Brisk, Paolo Ienne