By Guang R. Gao
This monograph developed from my Ph. D dissertation accomplished on the Laboratory of machine technological know-how, MIT, through the summer time of 1986. In my dissertation I proposed a pipelined code mapping scheme for array operations on static dataflow architectures. the most addition to this paintings is located in bankruptcy 12, reflecting new examine effects built over the last 3 years seeing that I joined McGill University-results established upon the rules in my dissertation. The terminology dataflow tender ware pipelining has been constantly used in view that book of our 1988 paper at the argument-fetching dataflow structure version at McGill college . within the first a part of this booklet we describe the static facts circulation graph version as an operational version for concurrent computation. we glance at timing issues for software graph execution on a fantastic static dataflow computing device, learn the inspiration of pipe lining, and represent its functionality. We speak about balancing concepts used to remodel sure graphs into absolutely pipelined facts circulate graphs. particularly, we convey how optimum balancing of an acyclic information move graph may be formulated as a linear programming challenge for which an optimum answer exists. As a tremendous end result, we exhibit the optimum balancing challenge of acyclic facts movement graphs is reduceable to a category of linear programming challenge, the internet paintings stream challenge, for which recognized effective algorithms exist. This outcome disproves the conjecture that such difficulties are computationally hard.
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Extra info for A Code Mapping Scheme for Dataflow Software Pipelining
If successive values of long vectors can be pipelined through the pipeline, there may be many thousands of actors in hundreds of stages in concurrent operation. The potential parallelism in such "two-dimensional" concurrent execution is enormous. 2 Timing Considerations Program execution on a dataflow computer is asynchronous-there is no centralized control mechanism to schedule the firing of the instructions. 3From now on the terms data flow program and data flow graph are used interchangeably when no confusion may occur.
3(a). 3(a). Obviously, the sequences of input values can be pipelined through the data flow graph. -a total of seven vector operations. However, unlike the vector operations usually supported in conventional vector processors, there is no requirement that one vector operation be continuously processed by one or a group of dedicated function units within the processor. The applicative nature of the data flow model allows flexible scheduling of the execution of enabled actors within the pipeline.
Every path from an input node to an output node through a balanced graph must contain the exact same number of actors. An apparent consequence is that a balanced graph can run in a maximally pipelined SOne cycle time for an actor to fire and one for the predecessor and successor actors to fire and provide the necessary acknowledgement signals . 12: A Balanced Data Flow Graph T 36 A Code Mapping Scheme for Dataflow Software Pipelining fashion [102,60]. 11 where a FIFO actor made of two identity actors is introduced on the short path.
A Code Mapping Scheme for Dataflow Software Pipelining by Guang R. Gao