1. Tutorial on Floorplan Representations
Chung-kuan Cheng
Dept. of Computer Science and Engineering, University of California,San Diego La Jolla,CA ,USA

2. Outline Introduction Types of Floorplans and Representations
Twin Binary Trees
Relations of Representations
Conclusions

3. Introduction Foundation of Floorplanning Operations
Constructive Placement
Analytical Placement (QPlace)
Placement Perturbation (Annealing).
Description of Solution Domain
Engineering Change Order

4. Types of Floorplans and Representations
Floorplan Representations
Slicing Floorplan: Slicing Order Tree
Mosaic Floorplan: Corner Block List
General Floorplan: Sequence Pair, O-Tree
Combinations of Floorplans and Representations

5. Slicing Floorplan Slicing floorplan  Slicing ordered treeB C D E F
Slicing Ordered Tree
colors of adj.
nodes differ A B C D E F
Slicing floorplan  Slicing ordered tree
#slicing floorplan is 2  Schrőder number.

6. Twin Binary Trees Definition of Twin Binary Trees
Transformations between Floorplan and Twin Binary Trees

7. Twin Binary Trees T T T T 00
900
1800
2700
C+-neighbor: 00 T-junction, block on right
2700 T-junction, block on top A B
2700 A B 00
C--neighbor: 900 T-junction, block on top
1800 T-junction, block on left A B
900 A B
1800

8. Twin Binary Trees C E B B C A A D D E F F X 1 (1)=11001 (2)=00110A B C D E F
(1)=11001
(2)=00110
order(t1)=order(t2)=ABCDFE

9. Twin Binary Trees and Mosaic Floorplan
Twin Binary Tree  Mosaic Floorplan
: one to one mapping
Transformation between twin binary trees and
mosaic floorplan takes linear complexity
#twin binary trees = Baxter number

10. Relations F TBT C B A E D F X 1 order(t1)=order(t2)=ABCDFE A B C D E F
order(t1)=order(t2)=ABCDFE A B C D E F
O-Tree A B C D E F
CBL=(FADEBC,11101, )
CBL90=(ABCDFE,00110, )
SP1=(ABCDFE,FADEBC)
SP2=(ABCDFE,FADBEC)

11. Relations between Representations(mosaic)
TBT(t+,t-):  SP(s1, s2),
s.t. order (t+) = s1.
2. TBT(t+,t-): CBL (S,L,T)90,
order (t+) = S.
3. CBL(S,L,T):  SP(s1, s2),
s.t. s2= S.
4. TBT(t+,t-):  O-tree T, s.t.
t- = binary tree transformation(T)

12. Relations between Representations
CBL
(S,L,T)
TBT
(t+,t-)
O-tree T SP
(s1,s2)
900
sequence
tree transform

13. {slicing fps} {mosaic fps}  {general fps}
Conclusion
{slicing fps} {mosaic fps}  {general fps}
#slicing O-trees  #TBTs  #SPs  #O-trees
O-tree rep.  one of TBTs * block sizes A B C
Mixed mode floorplan, mixed signal floorplan.
Interconnect planning.