Scheduling and mapping: software pipelining in the presence of structural hazards

  • Authors:
  • Erik R. Altman;R. Govindarajan;Guang R. Gao

  • Affiliations:
  • Dept. of Electrical Engineering, McGill University, Montreal, H3A 2A7, CANADA;Dept. of Computer Science, Memorial Univ. of Newfoundland, St. John's, A1B 3X5, CANADA;School of Computer Science, McGill University, Montreal, H3A 2A7, CANADA

  • Venue:
  • PLDI '95 Proceedings of the ACM SIGPLAN 1995 conference on Programming language design and implementation
  • Year:
  • 1995

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Abstract

Recently, software pipelining methods based on an ILP (Integer Linear Programming) framework have been successfully applied to derive rate-optimal schedules for architectures involving clean pipelines - pipelines without structural hazards. The problem for architectures beyond such clean pipelines remains open. One challenge is how, under a unified ILP framework, to simultaneously represent resource constraints for unclean pipelines, and the assignment or mapping of operations from a loop to those pipelines. In this paper we provide a framework which does exactly this, and in addition constructs rate-optimal software pipelined schedules. The proposed formulation and a solution method have been implemented and tested on a set of 1006 loops taken from various scientific and integer benchmark suites. The formulation found a rate-optimal schedule for 75% of the loops, and required a median time of only 2 seconds per loop on a Sparc 10/30.