Finding and applying loop transformations for generating optimized FPGA implementations

When implementing multimedia applications, solutions in dedicated hardware are chosen only when the required performance or energy-efficiency cannot be met with a software solution. The performance of a hardware design critically depends upon having high levels of parallelism and data locality. Often a long sequence of high-level transformations is needed to sufficiently increase the locality and parallelism. The effect of the transformations is known only after translating the high-level code into a specific design at the circuit level. When the constraints are not met, hardware designers need to redo the high-level loop transformations, and repeat all subsequent translation steps, which leads to long design times. We propose a method to reduce design time through the synergistic combination of techniques (a) to quickly pinpoint the loop transformations that increase locality; (b) to refactor loops in a polyhedral model and check whether a sequence of refactorings is legal; (c) to generate efficient structural VHDL from the optimized refactored algorithm. The implementation of these techniques in a tool suite results in a far shorter design time of hours instead of days or weeks. A 2D-inverse discrete wavelet transform was taken as a case study. The results outperform those of a commercial C-to-VHDL compiler, and compare favorably with existing published approaches