Partially-dependent functional decomposition with applications in FPGA synthesis and mapping

  • Authors:
  • Jason Cong;Yean-Yow Hwang

  • Affiliations:
  • Department of Computer Science, University of California, Los Angeles;Department of Computer Science, University of California, Los Angeles

  • Venue:
  • FPGA '97 Proceedings of the 1997 ACM fifth international symposium on Field-programmable gate arrays
  • Year:
  • 1997

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Abstract

In this paper, we give a necessary and sufficient condition for the existence of partially-dependent functional decomposition and develop new algorithms to compute such decompositions. We apply our method to the synthesis and mapping for Xilinx XC4000 FPGA's which contain non-uniform sizes of LUT's in its architecture. We develop a new mapping algorithm named PDDMAP which uses CLB's to cover nodes on critical paths for depth minimization and uses LUT's to cover non-critical nodes for area minimization. On average, PDDMAP is able to reduce the depth by 13%with only 1% of increase in area comparing to the results by FlowMap followed by a CLB generation procedure match_4k. We also develop a post-mapping procedure named PDDSYN which resynthesizes mapping solutionsto reduce the mapping area. On average, PDDSYN is able to improve PDDMAP mapping solutions by 5% in depth and 7% in CLB count, and achieves 8% smaller depth and 11% fewer CLB count comparing to FlowSyn followed by match-4k.