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An efficient algorithm for finding the minimal-area FPGA technology mapping

Minimum area is one of the important objectives in technology mapping for lookup table-based field-progrmmable gate arrays (FPGAs). Although there is an algorithm that can find an optimal solution in polynomial time for the minimal-area FPGA technology mapping problem without gate duplication, its time complexity can grow exponentially with the number of inputs of the lookup-tables. This article proposes an algorithm with approximate to the area-optimal solution and lower time complexity. The time complexity of this algorithm is proven theoretically to be bounded by O(n3), where n is the total number of gates in the given circuit. It is shown that except for some cases the proposed algorithm can find an optimal solution of a given problem. We have combined the proposed algorithm with the existing postprocessing procedures which are used to find the gates that can be duplicated on a set of benchmark examples. The experimental results demonstrate the effectiveness of our algorithm.