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Logical and physical restructuring of fan-in trees

Published: 14 March 2010 Publication History

Abstract

A symmetric-function fan-in tree (SFFT) is a fanout-free cone of logic that computes a symmetric function, so that all of the leaf nets in its support set are commutative. Such trees are frequently found in designs, especially when the design originated as two-level logic.
These trees are usually created during logic synthesis, when there is no knowledge of the locations of the tree root or of the source gates of the leaf nets. Because of this, large SFFTs present a challenge to placement algorithms. The result is that the tree placements are generally far from optimal, leading to wiring congestion, excess buffering, and timing problems. Restructuring such trees can produce a more placeable and wire-efficient design.
In this paper, we propose algorithms to identify and to restructure SFFTs during physical design. The key feature of an SFFT is that it can be implemented with various structures of a uniform set of gates with commutative inputs, i.e. AND, OR, or XOR. Drawing on the flexibility of SFFT logic structures, the proposed tree restructuring algorithm uses existing placement information to rebuild the SFFTs with reduced tree wire lengths. The experimental results demonstrate the efficiency and effectiveness of the algorithms.

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cover image ACM Conferences
ISPD '10: Proceedings of the 19th international symposium on Physical design
March 2010
220 pages
ISBN:9781605589206
DOI:10.1145/1735023
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 14 March 2010

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Author Tags

  1. commutative
  2. restructure
  3. symmetric-function fan-in tree

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ISPD '10
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ISPD '10: International Symposium on Physical Design
March 14 - 17, 2010
California, San Francisco, USA

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ISPD '10 Paper Acceptance Rate 22 of 70 submissions, 31%;
Overall Acceptance Rate 62 of 172 submissions, 36%

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  • (2016)Logic SynthesisElectronic Design Automation for IC Implementation, Circuit Design, and Process Technology10.1201/b19714-4(27-55)Online publication date: 14-Apr-2016
  • (2015)Progress and Challenges in VLSI Placement ResearchProceedings of the IEEE10.1109/JPROC.2015.2478963103:11(1985-2003)Online publication date: Nov-2015
  • (2013)Depth controlled symmetric function fanin tree restructureProceedings of the International Conference on Computer-Aided Design10.5555/2561828.2561945(585-591)Online publication date: 18-Nov-2013
  • (2013)Depth controlled symmetric function fanin tree restructure2013 IEEE/ACM International Conference on Computer-Aided Design (ICCAD)10.1109/ICCAD.2013.6691176(585-591)Online publication date: Nov-2013
  • (2013)Mountain-mover: An intuitive logic shifting heuristic for improving timing slack violating paths2013 18th Asia and South Pacific Design Automation Conference (ASP-DAC)10.1109/ASPDAC.2013.6509620(350-355)Online publication date: Jan-2013
  • (2012)Progress and challenges in VLSI placement researchProceedings of the International Conference on Computer-Aided Design10.1145/2429384.2429441(275-282)Online publication date: 5-Nov-2012
  • (2012)Guiding a physical design closure system to produce easier-to-route designs with more predictable timingProceedings of the 49th Annual Design Automation Conference10.1145/2228360.2228442(465-470)Online publication date: 3-Jun-2012
  • (2010)What makes a design difficult to routeProceedings of the 19th international symposium on Physical design10.1145/1735023.1735028(7-12)Online publication date: 14-Mar-2010

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