Century Electronics FC-2 Fast-Check Tube Tester manual

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For an internal node ν with two fanins, u1 and u2 , the set of cuts Φ(ν) is computed by merging the sets of cuts of fanin nodes u1 and u2 as follows: Φ(ν) = {{ν} ∪ {c1 ∪ c2 |c1 ∈ Φ(u1 ), c2 ∈ Φ(u2 ), |c1 ∪ c2 | ≤ K}. In other words, the set of cuts of a node can be obtained by the pair-wise union of the cuts of its fanins and drop those that are not K-feasible. For propagation purpose, we also add the trivial cut of each node to its set of cuts. In practice, the set of cuts, Φ(ν), may contain dominated ones which are supersets of other cuts.

1 For practical designs, we have to resort to heuristics. The PRAETOR algorithm [72] is an area-oriented mapping algorithm based on cut enumeration and ranking. In addition to the areabased cut ranking discussed earlier, the PRAETOR algorithm presents a number of techniques for both additional area reduction and possible runtime improvement. One technique is to encourage the use of common sub-cuts. A cut for a fanout of a node ν induces a cut for ν (maybe the trivial cut consisting of ν itself).

Area minimization for LUT mapping has been shown to be NP-hard [84]. Therefore, it is unlikely that there is an efficient and yet accurate way to rank cuts for area. The difficulty of area estimation during mapping is mainly due to the existence of multiple fanout nodes and their reconvergence [51]. In [72], the authors proposed the concept of effective area as a heuristic to measure the area cost of a cut. 2. ) The intuition of effective area is to distribute the area cost of each node to its fanout edges to consider logic sharing and reconvergence during area cost propagation.

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