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By G.D. Bukatov

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Thus if there exists at least one legal schedule then for any vertex there is a largest lower bound and a smallest upper bound delimiting the interval of actual execution. ) For any vertex “v” the largest lower bound is called the “As-Soon-As-Possible”-value or the “ASAP”-value of “v”. Likewise the smallest upper bound is called the “As-Late-As-Possible”-value or the “ALAP”-value of “v”. These intervals are easy to compute. It can be shown that for any schedule “ ” and for any vertex “v” the ALAP – ASAP interval always covers the actual execution interval.

For instance, considering the MISTRAL controller in Figure 4 the limitations of the instruction-width, the depth of the return address stack or the limited number of data path flags may be responsible for conflicts. In the graph conflicts are indicated by undirected edges between conflicting vertices. 3). In the case of operations (where no “binding” has yet occurred) modules are intuitively defined. Given some operation a “module type” is simply a hardware structure able to execute it. A module is an instance of a module type.

Suppose “v” is the operation associated with some OEI then there is an edge between OEI and some MEI if and only if the overlap of both in terms of time-slots is at least v [TIM93]. Now the construction of the BSG’s is clear there remains the question how the OEI’s and the MEI’s can actually be computed. To begin with the OEI’s, path analysis of the data flow graph delivers a first set of estimates. For any vertex “v” in the given data flow graph the interval needed to execute is known by the function v .

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