Advances in ILP-based Modulo Scheduling for High-Level Synthesis

In today's heterogenous computing world, field-programmable gate arrays (FPGA) represent the energy-efficient alternative to generic processor cores and graphics accelerators. However, due to their radically different computing model, automatic design methods, such as high-level synthesis (HLS), are needed to harness their full power. HLS raises the abstraction level to behavioural descriptions of algorithms, thus freeing designers from dealing with tedious low-level concerns, and enabling a rapid exploration of different microarchitectures for the same input specification. In an HLS tool, scheduling is the most influential step for the performance of the generated accelerator. Specifically, modulo schedulers enable a pipelined execution, which is a key technique to speed up the computation by extracting more parallelism from the input description. In this thesis, we make a case for the use of integer linear programming (ILP) as a framework for modulo scheduling approaches. First, we argue that ILP-based modulo schedulers are practically usable in the HLS context. Secondly, we show that the ILP framework enables a novel approach for the automatic design of FPGA accelerators. We substantiate the first claim by proposing a new, flexible ILP formulation for the modulo scheduling problem, and evaluate it experimentally with a diverse set of realistic test instances. While solving an ILP may incur an exponential runtime in the worst case, we observe that simple countermeasures, such as setting a time limit, help to contain the practical impact of outlier instances. Furthermore, we present an algorithm to compress problems before the actual scheduling. An HLS-generated microarchitecture is comprised of operators, i.e. single-purpose functional units such as a floating-point multiplier. Usually, the allocation of operators is determined before scheduling, even though both problems are interdependent. To that end, we investigate an extension of the modulo scheduling problem that combines both concerns in a single model. Based on the extension, we present a novel multi-loop scheduling approach capable of finding the fastest microarchitecture that still fits on a given FPGA device - an optimisation problem that current commercial HLS tools cannot solve. This proves our second claim

Portuguese SKA white book

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Proceedings of the 19th Sound and Music Computing Conference

Proceedings of the 19th Sound and Music Computing Conference - June 5-12, 2022 - Saint-Étienne (France). https://smc22.grame.f