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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 conceived 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.
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.
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 ...
A canonical example of a data-flow analysis is reaching definitions. A simple way to perform data-flow analysis of programs is to set up data-flow equations for each node of the control-flow graph and solve them by repeatedly calculating the output from the input locally at each node until the whole system stabilizes, i.e., it reaches a fixpoint.
The following other wikis use this file: Usage on cs.wikipedia.org Cyklomatická složitost; Usage on es.wikipedia.org Complejidad ciclomática
An example of a signal-flow graph Flow graph for three simultaneous equations. The edges incident on each node are colored differently just for emphasis. An example of a flow graph connected to some starting equations is presented. The set of equations should be consistent and linearly independent. An example of such a set is: [2]
Flow graph may refer to: Flow or rooted graph (graph theory), a graph in which a vertex has been distinguished as the root; Control-flow graph (computer science), a representation of paths through a program during its execution; Flow graph (mathematics), a directed graph linked to a set of linear algebraic or differential equations