An Improved Two-Way Partitioning Algorithm with Stable Performance - PowerPoint PPT Presentation

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An Improved Two-Way Partitioning Algorithm with Stable Performance

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Tools(2) - FM. Fiduccia-Mattheyses Partitioning ... Divide the design into two partitions using ratio cut ... Apply one more run of FM. Experimental Results ... – PowerPoint PPT presentation

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Title: An Improved Two-Way Partitioning Algorithm with Stable Performance


1
An Improved Two-Way Partitioning Algorithm with
Stable Performance
  • Chung-Kuan Cheng
  • Yen-Chuen A. Wei

2
Motivation
  • KL based Algorithms highly sensitive to initial
    conditions
  • Can be solved by multiple runs of the Algorithm
  • Probability of finding good initial conditions
    drop exponentially with circuit size

3
Tools(1) Ratio Cut
  • Two way partitioning Algorithm
  • Finds partitioning with best ratio using RAB
    CAB / (A x B)
  • Partitioning not necessarily even

4
Tools(2) - FM
  • Fiduccia-Mattheyses Partitioning
  • Move node with best gain that satisfies the
    balance condition from one partition to the other
    until all are locked

5
Step One - Divide
  • Divide the design into two partitions using ratio
    cut
  • Keep applying ratio cut to any partition larger
    than Nodes/g
  • Authors suggest g 50

6
Step Two Conquer
  • Form Supernodes
  • Partition Supernodes using FM number_of_reps
    times using size constraints
  • Authors suggest 10 for number_of_reps
  • Choose best results from FM

7
Step Three Clean Up
  • Expand the Supernodes back out
  • Apply one more run of FM

8
Experimental Results
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