Measure theory - download pdf or read online

Measure theory - download pdf or read online

By Donald L. Cohn

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Example text

However, the locations of the loops can be detected automatically from the control flow graph, the programmer only needs to provide the lower and upper bound of the loop iteration. The corresponding functionality constraints can then be generated automatically. 5, since variable p is non-negative on loop entry, the loop body will be iterated between 0 and 10 times every time the loop is reached. 17) Here, Xl is the basic block variable just before the loop is entered. It represents the number of times that the loop is reached.

Once the input data set is fixed, the execution path of the program will also be fixed, and it is independent of the timing properties of the underlying hardware. In other words, what a program computes depends solely on the input data set and is not related to the hardware on which the program is running. It is also important to note that program path analysis is used to analyze programs whose extreme case execution paths are unknown. For program with known extreme case execution paths, program path analysis is not required.

In this chapter, we will focus on analyzing the flow of the program. A very simple micro architecture model is used here. It assumes that the instruction execution times are constant and they are independent of each other. This restriction will be removed when microarchitecture modeling is discussed in Chapter 4. A program may have many feasible execution paths. The execution path of a program depends on the program's input data set only. The input data set is not limited to the arguments passed to the program.

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