Wave Expansion step

The Lee algorithm is one possible solution for maze routing problems based on breadth-first search. It always gives an optimal solution, if one exists, but is slow and requires considerable memory.

Algorithm

Initialization

Select start point, mark with 0

i := 0

Wave expansion

REPEAT Mark all unlabeled neighbors of points marked with i with i+1 i := i+1

UNTIL ((target reached) or (no points can be marked))

Backtrace

go to the target point

REPEAT go to next node that has a lower mark than the current node add this node to path

UNTIL (start point reached)

Clearance

Block the path for future wirings

Delete all marks

Of course the wave expansion marks only points in the routable area of the chip, not in the blocks or already wired parts, and to minimize segmentation you should keep in one direction as long as possible.

External links

  • Wolf, Wayne (2002), Modern VLSI Design, Prentice Hall, pp. 518ff, ISBN 0-13-061970-1
  • Lee, C. Y. (1961), "An Algorithm for Path Connections and Its Applications", IRE Transactions on Electronic Computers, EC-10 (3): 346–365, doi:, S2CID
  • Rubin, F (1974), "The Lee Path Connection Algorithm", IRE Transactions on Electronic Computers, C-23 (9): 907–914, doi:, S2CID

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