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In computer science, a control-flow graph (CFG) is a representation, using graph notation, of all paths that might be traversed through a program during its execution. The control-flow graph was discovered by Frances E. Allen , [ 1 ] who noted that Reese T. Prosser used boolean connectivity matrices for flow analysis before.
If a (connected) control-flow graph is considered a one-dimensional CW complex called , the fundamental group of will be (). The value of n + 1 {\displaystyle n+1} is the cyclomatic complexity. The fundamental group counts how many loops there are through the graph up to homotopy, aligning as expected.
Essential complexity is a numerical measure defined by Thomas J. McCabe, Sr., in his highly cited, 1976 paper better known for introducing cyclomatic complexity.McCabe defined essential complexity as the cyclomatic complexity of the reduced CFG (control-flow graph) after iteratively replacing (reducing) all structured programming control structures, i.e. those having a single entry point and a ...
In software engineering, basis path testing, or structured testing, [1] is a white box method for designing test cases.The method analyzes the control-flow graph of a program to find a set of linearly independent paths of execution.
In computer science, control-flow analysis (CFA) is a static-code-analysis technique for determining the control flow of a program. The control flow is expressed as a control-flow graph (CFG). For both functional programming languages and object-oriented programming languages, the term CFA, and elaborations such as k-CFA, refer to specific ...
Example of a "performance seeking" control-flow diagram. [1] A control-flow diagram (CFD) is a diagram to describe the control flow of a business process, process or review. Control-flow diagrams were developed in the 1950s, and are widely used in multiple engineering disciplines.
A designation "flow graph" that includes both the Mason graph and the Coates graph, and a variety of other forms of such graphs [7] appears useful, and agrees with Abrahams and Coverley's and with Henley and Williams' approach. [1] [2] A directed network – also known as a flow network – is a particular type of flow
Mason's gain formula (MGF) is a method for finding the transfer function of a linear signal-flow graph (SFG). The formula was derived by Samuel Jefferson Mason, [1] for whom it is named. MGF is an alternate method to finding the transfer function algebraically by labeling each signal, writing down the equation for how that signal depends on ...