risks of skipping physical design

... characteristics of Alpert/Handbook of Algorithms for Physical Design Automation AU7242_C048 Finals Page 1015 9-10-2008 #15 Index 1015 clustering-based approach of, 385–386 coarsening of, 386–391 ... circuit design, buffer scaling, 536 VLSI designs, 277 methodologies, 653 VLSI physical design automation, ... solution, 540 pruning implementation, 540 pseudocode, 540 work flow of, 540–542 ... of, 198 Irreducible realization list, 180, 963–964 Island-style FPGA placement, 967–968 Iso-dense bias, 706 ISPD, see International Symposium on Physical Design ISPD 2005, global placements of,

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... 2Alpert/Handbook of Algorithms for Physical Design Automation AU7242_C000 Finals Page i 9-10-2008 #1Handbook of Algorithms for Physical design Automation Trang 4Alpert/Handbook of Algorithms for Physical Design ... memory of my grandparents: Nalinee and Gajanan Kamat, Radha and Shreenath Mehta Dinesh P Mehta To Ofelia and Arunito Sachin S Sapatnekar Trang 8Alpert/Handbook of Algorithms for Physical Design ... identification and explanation without intent to infringe. Library of Congress Cataloging-in-Publication Data Handbook of algorithms for physical design automation / edited by Charles J Alpert, Dinesh P

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... Bazargan Chapter 47 Physical Design for Three-Dimensional Circuits 985 Kia Bazargan and Sachin S Sapatnekar Index .1003 Trang 4Alpert/Handbook of Algorithms for Physical Design Automation ... School of Mines, Golden, Colorado since 2000, where he is a professor and currently also serves as department head He is a coauthor of Fundamentals of Data Structures in C++ and a coeditor of Handbook ... the University of Minnesota, Minneapolis, Minnesota, where he is currently the Robert and Marjorie Henle Professor He has published widely in the area of computer-aided design of VLSI circuits,

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... the fundamental nature of classical physical design.A major consequence of interconnect dominance is that the role of physical design moved upstream to other stages of the design cycle Synthesis ... the designer back to earlier stages in the flow Of course, this explanation is an oversimplification The physical design flow depends on the size of the design, the technology, the number of designers, ... dissemination of new knowledge However, existing textbooks have failed to keep pace with these changes One of the goals of this handbook is to provide a detailed survey of the field of VLSI physical design

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... performs well for floorplan design where sizes of objects differ in orders of magnitude Yet, almost invariably, it is the method of choice There was of course the success of Martin D.F Wong and Chung ... placement tools of the day had the reputation of using more chip area than needed, a belief that was based mainly on the fact that manual design often outperformed automatic generation of cell layouts ... systematic generations of all dissection topologies, and for each such topology a set of linear equations as part of the optimization tableau for obtaining the smallest rectangle under (often linearized)

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... instances of logic gates from a predefined library The timing performance of the combinational block is a strong function of the physical design, such as the placement of the gates, the routing of signal ... named Elmore delay after the author, was the basis of much of the research on performance of designs in silicon in the second half of the decade of the 1990s It was pretty accurate for point-to-point ... Acknowledgment 50 References 50 Physical design consists of a number of steps that attempt to optimize one or more specified design objectives, under one or more design constraints This optimization

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... Alpert/Handbook of Algorithms for Physical Design Automation AU7242_C003 Finals Page 32 29-9-2008 #5 32 Handbook of Algorithms for Physical Design Automation Step response interpreted ... x k−1 e −θx (k) Alpert/Handbook of Algorithms for Physical Design Automation AU7242_C003 Finals Page 36 29-9-2008 #9 36 Handbook of Algorithms for Physical Design Automation where (k) is the ... Alpert/Handbook of Algorithms for Physical Design Automation AU7242_C003 Finals Page 37 29-9-2008 #10 Metrics Used in Physical Design 37 Both parameters, α and β, must be positive. Th e mean and variance of

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... switches from off to on, while the NMOS device M2 switches from on to off Because of the intrinsic delays of the MOSFET devices as well as the loading effect of the gate capacitance of INV2, the ... discharging of the gate capacitors. of INV1, the state of INV2 changes from 0 to 1, by charging the gate capacitor of MOSFET M3 and M4 via transistor M1 In the meantime, the state of INV3 changes ... actually the same objective Trang 5of many physical design algorithms Therefore, an optimal solution of those algorithms is also the optimal solution in terms of dynamic power Another approach

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... represent the input to physical design: the circuit or the netlist 2 Data structures used during the physical design process 3 Data structures used to represent the output of physical design: the layout ... over the set of intervals The idea of Trang 7Alpert/Handbook of Algorithms for Physical Design Automation AU7242_C004 Finals Page 58 24-9-2008 #5a b x2 bac cab df fd FIGURE 4.2 Set of intervals ... with the rest of the world and does so through the use of external pins An interconnection connects (or makes electrically 55 Trang 5Alpert/Handbook of Algorithms for Physical Design Automation

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... lists of each of the leaf nodes in the quad tree Observe that t does not cross the lower boundaries of any of the three quads and x = 0 in each case However, t does cross the left boundaries of ... [37] described a variation of the QLQT that was specifically designed for design-rule checking Design-rule checking requires one to check rectangles in the vicinity of the query rectangle for ... that the patterns on the processed wafer preserve the topology of the designs An example of a design rule is that the width of a wire must be greater than a specified minimum If this constraint

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... (v, u) The value of a flow is typically defined as the amount of flow coming out of the source to all the other nodes in the network It can equivalently be defined as the amount of flow coming ... capacity of any edge Return f At any iteration, augmenting path is not simply a path of finite positive capacity in the graph Note that capacity of a path is defined by the capacity of the minimum ... in a network is a partitioning of the nodes into two: with the source s on one side and the sink t on another The capacity of a cut is the sum of the capacity of all edges that start in the s

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... Alpert/Handbook of Algorithms for Physical Design Automation AU7242_C006 Finals Page 102 23-9-2008 #15 102 Handbook of Algorithms for Physical Design Automation 6.6 GEOMETRIC PROGRAMMING For circuit design ... Alpert/Handbook of Algorithms for Physical Design Automation AU7242_C006 Finals Page 104 23-9-2008 #17 104 Handbook of Algorithms for Physical Design Automation where m is the number of nodes in ... Alpert/Handbook of Algorithms for Physical Design Automation AU7242_C007 Finals Page 110 24-9-2008 #3 110 Handbook of Algorithms for Physical Design Automation larger and larger b locks. The purpose of clustering

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... Alpert/Handbook of Algorithms for Physical Design Automation AU7242_C007 Finals Page 112 24-9-2008 #5 112 Handbook of Algorithms for Physical Design Automation For example, a net consisting of four vertices ... FIGURE 7.4 Example of gain computations. Alpert/Handbook of Algorithms for Physical Design Automation AU7242_C007 Finals Page 116 24-9-2008 #9 116 Handbook of Algorithms for Physical Design Automation ... [AK93,AK94,AK96, KK98,AKY99]. Alpert/Handbook of Algorithms for Physical Design Automation AU7242_C007 Finals Page 114 24-9-2008 #7 114 Handbook of Algorithms for Physical Design Automation C e FIGURE 7.3

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... step of planarization of the logical network of the circuit by deleting a minimum number of edges or a set of edges with minimum total weight is known to be NP-complete [20] The second step of ... corresponds to a triangular face of R, (2) Y is a set of vertices associated with each vertex υ of R such that if degree ofυ is d(υ), then there are exactly d(υ) − 4 instances of υ, and (3) there is an ... statement of these conditions A chord of a cycle in G is an edge between two nonconsecutive vertices on the cycle (so it is not part of the cycle) A chord(u, v) of the outermost cycle S of G is

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... tree and the degree of a node in the ith level is equal to the number of possible shapes of module M i A linear order of the modules is obtained so that along any directed path of x- or y-graph, ... Transactions on Design Automation of Electronic Systems, 6(4): 447–470, October 2001 35 S Sur-Kolay and B.B Bhattacharya Canonical embedding of rectangular duals In Proceedings of the 29th ACM/IEEE Design ... any one of the four possible values of (x ij , y ij ), only one of the four inequalities is applicable, the other three being vacuously true It is assumed that for all i, the values of (x i ,

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... where m is the total number of possible shapes of all modules. This complexity does not depend on the number of modules, the depth of the slicing tree, or the distribution of the m shapes among the ... s of u, there is a node v(s) in w [v(s)]: to be used for computing the width of s h [v(s)]: to be used for computing the height of s w+[v(s)]: to be added to the widths of all descendents of ... list of shapes, s1 , s2, , s k of u1 Also assume that the widths of s1, s2, , s k are all greater than the width of t To combine s i ’s and t, Stockmeyer’s algorithm will add the height of

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... Shortest distance of the upper boundary of A from the x-axis • Bottom(A): Longest distance of the lower boundary of A from the x-axis • Right(A): Shortest distance of the right boundary of A from the ... describe each type of placement constraint, and highlight existing techniques to handle it during floorplan design As a matter of fact, most of the techniques are extensions of the Wong–Liu algorithm ... 3 4 4 5 5 FIGURE 9.6 Illustration of three types of moves. in the rest of this chapter It employs the technique of simulated annealing [17], and uses the set of normalized Polish expressions as

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... Otten Automatic floorplan design Proceedings of Design Automation Conference, pp 261–267, 1982 2 D F Wong and C L Liu A new algorithm for floorplan design Proceedings of Design Automation Conference, ... abutment constraints IEEE Transactions of Computer-Aided Design of Integrated Circuits and Systems, 20(6):800–807, 2001 Trang 3184 Handbook of Algorithms for Physical Design Automation23 W S Yuen and ... partitioning of electrical circuits Proceedings of Design Automation Workshop, pp 56–62, 1972. 15 C M Fiduccia and R M Mattheyses A linear-time heuristic for improving network partitions Proceedings of Design

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... Parenthesis trees of the packing in Figure 10.14f. Alpert/Handbook of Algorithms for Physical Design Automation AU7242_C010 Finals Page 194 24-9-2008 #11 194 Handbook of Algorithms for Physical Design Automation ... Alpert/Handbook of Algorithms for Physical Design Automation AU7242_C010 Finals Page 192 24-9-2008 #9 192 Handbook of Algorithms for Physical Design Automation Transformation ... floorplan to TBT. Alpert/Handbook of Algorithms for Physical Design Automation AU7242_C010 Finals Page 196 24-9-2008 #13 196 Handbook of Algorithms for Physical Design Automation E F B G D C A

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... ACM Transactions on Design Automation of Electronic Systems, 8(1): 55–80, 2003 (ISPD 2001). 7 G Baxter On fixed points of the composite of commuting functions Proceedings of American Mathematics ... the number of modules. The solution space of CS is bounded by(m!)2, where m is the number of modules It should be noted that, in addition to the number of modules, the solution space of CS also ... affects the operations of modules and the complexity of a floorplan/placement design process It is thus desired to develop an efficient, flexible, and effective representation of geometric relationship

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