Area-minimal algorithm for LUT-based FPGA technology mapping with duplication-free restriction

Chi-Chou Kao, Y. Lai
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Abstract

Minimum area is one of the important objectives in technology mapping for lookup table-based FPGAs. It has been proven that the problem is NP-complete. This paper presents a polynomial time algorithm which can run in O(n3) time to generate an efficient solution where n is the total number of gates in the circuit. The proposed algorithm partitions the graph representing the given circuit into subgraphs such that the solution can be obtained by merging the subgraph solutions. The greedy technique is then used to find the solution for each subgraph. It is shown that except for some cases the greedy method can find an optimal solution of a given problem. We have tested our algorithm on a set of benchmark examples. The experimental results demonstrate the effectiveness of our algorithm.
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基于lut的无重复限制FPGA技术映射的面积最小算法
最小面积是基于查找表的fpga技术映射的重要目标之一。已经证明了这个问题是np完全的。本文提出了一种多项式时间算法,该算法可以在O(n3)时间内生成一个有效的解,其中n为电路中栅极的总数。该算法将表示给定电路的图划分为子图,通过合并子图解即可得到解。然后使用贪心技术来查找每个子图的解。结果表明,除了某些情况外,贪心法可以找到给定问题的最优解。我们已经在一组基准示例上测试了我们的算法。实验结果证明了算法的有效性。
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