Exact Minimum-Width Transistor Placement for Dual and Non-dual CMOS Cells

Abstract

This paper proposes flat and hierarchical approaches for generating a minimum-width transistor placement of CMOS cells in presence of non-dual P and N type transistors. Our approaches are the first exact method which can be applied to CMOS cells with any types of structure. Non-dual CMOS cells occupy a major part of an industrial standard-cell library. To generate the exact minimum-width transistor placement of non-dual CMOS cells, we formulate the transistor placement problem into Boolean Satisfiability (SAT) problem considering the P and N type transistors individually. Using the proposed method, the transistor placement problem of any types of CMOS cells can be solved exactly. In addition, the experimental results show that our flat approach generates smaller width placement for 29 out of 103 dual cells than that of the conventional method. Our hierarchical approach reduces the runtimes drastically. Although this approach has possibility to generate wider placements than that of the flat approach, the experimental results show that the width of only 3 out of 147 cells solved by our hierarchical approach are larger than that of the flat approach.