In this paper, we present a fast algorithm for finding empty area on the FPGA surface with some rectangular tasks placed on it. We use a staircase datastructure to report the empty area in the form of a list of maximal empty rectangles. We model the FPGA surface using an innovative encoding scheme that improves runtime and reduces memory requirement of our algorithm.Worst-case time complexity of our algorithm is O(xy) where x is number of columns, y is number of rows and x.y is the total number of cells on the FPGA.
Citation:
Manish Handa, Ranga Vemuri, "A Fast Algorithm for Finding Maximal Empty Rectangles for Dynamic FPGA Placement," date, vol. 1, pp.10744, Design, Automation and Test in Europe Conference and Exhibition Volume I (DATE'04), 2004