We present an analytical model relating FPGA architectural parameters to the routability of the FPGA. The inputs to the model include the channel width and the connection and the switch block flexibilities. The output is an estimate of the proportion of nets in a large circuit that can be expected to be successfully routed on the FPGA. We assume that the circuit is routed to the FPGA using a single-step combined global/detailed router. We show that the model correctly predicts routability trends. We also present an example application to demonstrate that this model may be a valuable tool for FPGA architects. When combined with the earlier works on analytical modeling, our model can be used to quickly predict the routability without going through any stage of an expensive CAD flow. We envisage that this model will benefit FPGA architecture designers and vendors to quickly evaluate FPGA routing fabrics.
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