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ECBL: An Extended Corner Block List with Solution Space including Optimum Placement Shuo Zhou,Sheqin Dong, Xianlong Hong,Yici Cai Dept. of Computer Science and Technology, Tsinghua University, Beijing 100084 P.R. China Chung-kuan Cheng Dept. of Computer Science and Engineering, University of California,San Diego La Jolla,CA 92093- 0114,USA Jun Gu Department of Computer Science, Science & Technology University of HongKong April, 2001

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Outline Introduction Extended Corner Block List Approach Experimental Results Conclusions

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Introduction Definition of Mosaic Floorplan N-room Constraint of Mosaic Floorplan Mosaic Floorplan with Dummy Blocks Bounded Sliceline Grid (BSG) Relations of BSG and TBT, CBL

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Definition of Mosaic Floorplan No Empty Space: n rectangles n blocks Topological Equivalence on Segment Sliding Non-Degenerate Topology A B C D A B C D

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Mosaic Floorplan A B C D A B C D N-Room Constraint of

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Mosaic Floorplan with Dummy Blocks x x x

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Bounded-Sliceline Grid (BSG) Bounded-Sliceline Grid (BSG): n x n grids BSG covers general floorplan x1x1 x2x2 x3x3 x5x5 x4x4 a d c b Thus, mosaic floorplan with n 2 dummy blocks covers general floorplan

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Relations of BSG and TBT, CBL BSG: CBL, TBT ECBL(S,L,T): S= dx 5 ax 1 x 3 bx 4 x 2 c L= 10011001 T= 010010100100 x1x1 x2x2 x3x3 x5x5 x4x4 a d c b x1x1 c x4x4 b x2x2 a d x3 x5x5 x 0 0 x 1 0 10 1 0 c x4x4 b x2x2 x1x1 x3x3 a d x5x5 x 1 0 0 1 x 1 0 1 0 order( 1 )=order( 2 )=x 1 ax 2 cx 3 dx 5 x 4 b 1 =01100110, 2 =10011001

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Extended Corner Block List (ECBL) Given n blocks, ECBL = corner block list (S,L,T) with n rooms, where The list (S,L,T) contains ( n -n) dummy blocks.

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ECBL Complexity of transformation: O( n) ECBL n covers BSG n n #ECBL =

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Approach Perturbation for simulated annealing process Exchange two labels in sequence S. Change bits in sequence L and T. Selection Of Try [1.5, …, 3]

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Selection of

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Experimental Results The algorithm is implemented in C programming language. All experiments are performed on a SUN spark20 workstation. Our experiments do not include soft blocks. of ECBL is set between 1.8 and 2.5.

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Experimental Results

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Conclusion Mosaic floorplan is extended to general floorplan. ECBL covers general floorplan, if =n. ECBL based-algorithm has the complexity of O(n) when is a constant. Experiments on benchmark show promising results.

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© 2009 IBM Corporation IBM Research Xianglong Liu 1, Junfeng He 2,3, and Bo Lang 1 1 Beihang University, Beijing, China 2 Columbia University, New York,

© 2009 IBM Corporation IBM Research Xianglong Liu 1, Junfeng He 2,3, and Bo Lang 1 1 Beihang University, Beijing, China 2 Columbia University, New York,

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