Data path allocation based on bipartite weighted matching

Register binding and port assignment for multiplexer optimization

“…It was based on the original bipartite-matching algorithm published in [13]. As shown in the Introduction, [13] Case B: S > 1 For each d_i that belongs to the set {d_1, d_2, …, d_S}, perform operations 1 to 3 as in the Case A.…”

“…It was based on the original bipartite-matching algorithm published in [13]. As shown in the Introduction, [13] Case B: S > 1 For each d_i that belongs to the set {d_1, d_2, …, d_S}, perform operations 1 to 3 as in the Case A. If all the swapping is successful, R will only drive port p and total MUX input number is reduced by 1. input reduction compared to other algorithms when the variables are bound into the minimum number of registers required.…”

“…In [5], the cost function for the weighted bipartite graph was refined. It was counting the inputs of the involved MUXes directly instead of counting number of input-registers as in [13] when computing the cost of assigning variable v i to register r j . Although more input-registers generally mean more MUXes, these two parameters are not always correlating with each other when we consider the registers that drive both ports of functional units.…”

“…Authors in [15] presented an integrated data path synthesis flow for scheduling and binding to reduce total connections. Although it had better connection results compared to [13], larger numbers of registers were reported. In [16], a min-cost max-flow algorithm was presented to carry out functional unit binding and register binding for connection reduction.…”

“…In [12], a branch-and-bound search algorithm was applied to bind registers and allocate connections while binding functional units. In [13], a breakthrough approach using a weighted bipartite-matching algorithm was presented to solve both register and functional unit binding. The weights on the bipartite graph represented the connection cost when variables or operations were assigned to registers or functional units.…”