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2.3.1 The Structure of an ATaG program
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The task graph is a widely used application model. In the task graph notation, the overall computation is represented as an acyclic directed graph. The nodes of the graph correspond to processes (tasks), and a pair of distinct tasks are connected by a directed edge iff the task at the tail of the directed edge requires as input the results of execution of the task at its head. In the simplest model, a task cannot start executing until all its predecessors have finished
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THE ABSTRACT TASK GRAPH
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execution. For transformational applications, the task graph exposes the potential for concurrent execution of tasks and is widely used in task scheduling and allocation [2, 451. The task graph is also commonly annotatedextended with other information relevant to the problem domain-for example, the conditional task graph for low-power embedded system synthesis [%], the augmented task dependency graph [46] for automated software partitioning and mapping for distributed multiprocessors, the iterative task graph for representing loops [59],etc. Annotation of paths in the task graph with throughput and latency constraints has been employed for resource allocation in distributed sensor-actuator systems [4]. The ATaG model of a program is similar to the task graph model in that the application is represented as a set of tasks and a set of data items connected via directed arrows denoting the input or output relationship between a task and a data item. Tasks and arrows (called channels in ATaG) also have associated annotations that determine the translation of the architecture-independent ATaG program in the context of a particular network deployment. An ATaG program is a set of abstract declarations. An abstract declaration can be one of three types: abstract task, abstract data, or abstract channel. Each abstract declaration consists of a set of annotations. Each annotation is a 2-tuple where the first element is the type of annotation, and the second element is the value. Hereafter, we occasionally omit the word abstract for sake of brevity. Figure 2.2 provides a general overview of the
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Firing rules ( when )
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Abstract Task
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Abstract Data
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Abstract Channel
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Figure 2.2 An overview of the ATaG syntax.
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ATaG syntax and the broad classification of the annotation types currently supported. The task annotations relate to the placement and firing rules of tasks, while the channel annotations are used to specify different types of interests in instances of the associated abstract data item. Support for task placement based on compile-time or runtime availability of resources or on the desired degree of coverage (for sensing tasks) is not yet implemented in the prototype ATaG programming environment, and is hence italicized in the figure. The set of annotations is open-ended: More types can be defined based on the target class of applications, the hardware architecture of the sensor node, and the capabilities of the runtime system.
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Abstract task: Each abstract task declaration represents a type of processing that could occur in the application. The number of instances of the abstract task existing in the system at a given time is determined in the context of a specific network description by the annotations associated with that declaration. Each task is labeled with a unique name by the programmer. Associated with each task declaration is an executable specification in a traditional programming language that is supported by the target platform. Table 2.1 describes the annotations that can be associated with a task declaration in the current version of ATaG. Abstract data: Each abstract data declaration represents a type of applicationspecific data object that could be exchanged between abstract tasks. ATaG does not associate any semantics with the data declaration. The number of instances of a particular type of data object in the system at a given time is determined by the associated annotations in the context of a specific deployment and depends on the instantiation and firing rules of tasks producing or consuming the data objects. Each data declaration is labeled with a unique name. Similar to the executable code associated with the task declaration, an application-specific payload is associated with the data declaration. This payload typically consists of a set of variables in the programming language supported by the target platform. No other annotations are currently associated with abstract data items. Abstract channel: The abstract channel associates a task declaration with a data declaration and represents not just which data objects are produced and/or consumed by a given task, but which instances of those types of data items are of interest to a particular instance of the task. An abstract channel is called an input (output) channel if the data item is to be consumed (produced) by the task. In an ATaG program, more than one input channels may be defined for a given abstract data item-denoting the fact that more than one consumer exists
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