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Floorplanning using a tree representation

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4 Author(s)
Pei-Ning Guo ; Mentor Graphics Corp., San Jose, CA, USA ; T. Takahashi ; Chung-Kuan Cheng ; T. Yoshimura

We present an ordered tree (O tree) structure to represent nonslicing floorplans. The O tree uses only n(2+[lg n]) bits for a floorplan of n rectangular blocks. We define an admissible placement as a compacted placement in both x and y directions. For each admissible placement, we can find an O-tree representation. We show that the number of possible O-tree combinations is O(n!22n-2/nl.5). This is very concise compared to a sequence pair representation that has O((n!)2) combinations. The approximate ratio of sequence pair and O-tree combinations is O(n2(n/4e)n). The complexity of O tree is even smaller than a binary tree structure for slicing floorplan that has O(n!25n-3/n1.5) combinations. Given an O tree, it takes only linear time to construct the placement and its constraint graph. We have developed a deterministic floorplanning algorithm utilizing the structure of O tree. Empirical results on MCNC ( benchmarks show promising performance with average 16% improvement in wire length and 1% less dead space over previous central processing unit (CPU) intensive cluster refinement method

Published in:

IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems  (Volume:20 ,  Issue: 2 )