Cyclomatic complexity is computed using the control-flow graph of the program: the nodes of the graph correspond to indivisible groups of commands of a program, and a directed edge connects two nodes if the second command might be executed immediately after the first command. Cyclomatic complexity may also be applied to individual functions, modules, methods or classes within a program.
One testing strategy, called basis path testing by McCabe who first proposed it, is to test each linearly independent path through the program; in this case, the number of test cases will equal the cyclomatic complexity of the program.[1]
Mathematically, the cyclomatic complexity of a structured program[a] is defined with reference to the control-flow graph of the program, a directed graph containing the basic blocks of the program, with an edge between two basic blocks if control may pass from the first to the second. The complexity M is then defined as[2]
McCabe showed that the cyclomatic complexity of any structured program with only one entry point and one exit point is equal to the number of decision points (i.e., "if" statements or conditional loops) contained in that program plus one. However, this is true only for decision points counted at the lowest, machine-level instructions.[4] Decisions involving compound predicates like those found in high-level languages like IF cond1 AND cond2 THEN ... should be counted in terms of predicate variables involved, i.e. in this example one should count two decision points, because at machine level it is equivalent to IF cond1 THEN IF cond2 THEN ....[2][5]
One of McCabe's original applications was to limit the complexity of routines during program development; he recommended that programmers should count the complexity of the modules they are developing, and split them into smaller modules whenever the cyclomatic complexity of the module exceeded 10.[2] This practice was adopted by the NIST Structured Testing methodology, with an observation that since McCabe's original publication, the figure of 10 had received substantial corroborating evidence, but that in some circumstances it may be appropriate to relax the restriction and permit modules with a complexity as high as 15. As the methodology acknowledged that there were occasional reasons for going beyond the agreed-upon limit, it phrased its recommendation as "For each module, either limit cyclomatic complexity to [the agreed-upon limit] or provide a written explanation of why the limit was exceeded."[9]
Section VI of McCabe's 1976 paper is concerned with determining what the control-flow graphs (CFGs) of non-structured programs look like in terms of their subgraphs, which McCabe identifies. (For details on that part see structured program theorem.) McCabe concludes that section by proposing a numerical measure of how close to the structured programming ideal a given program is, i.e. its "structuredness" using McCabe's neologism. McCabe called the measure he devised for this purpose essential complexity.[2]
One common testing strategy, espoused for example by the NIST Structured Testing methodology, is to use the cyclomatic complexity of a module to determine the number of white-box tests that are required to obtain sufficient coverage of the module. In almost all cases, according to such a methodology, a module should have at least as many tests as its cyclomatic complexity; in most cases, this number of tests is adequate to exercise all the relevant paths of the function.[9]
Neither of these cases exposes the bug. If, however, we use cyclomatic complexity to indicate the number of tests we require, the number increases to 3. We must therefore test one of the following paths:
A number of studies have investigated the correlation between McCabe's cyclomatic complexity number with the frequency of defects occurring in a function or method.[11] Some studies[12] find a positive correlation between cyclomatic complexity and defects: functions and methods that have the highest complexity tend to also contain the most defects. However, the correlation between cyclomatic complexity and program size (typically measured in lines of code) has been demonstrated many times. Les Hatton has claimed[13] that complexity has the same predictive ability as lines of code.Studies that controlled for program size (i.e., comparing modules that have different complexities but similar size) are generally less conclusive, with many finding no significant correlation, while others do find correlation. Some researchers question the validity of the methods used by the studies finding no correlation.[14] Although this relation likely exists, it is not easily used in practice.[15] Since program size is not a controllable feature of commercial software, the usefulness of McCabe's number has been questioned.[11] The essence of this observation is that larger programs tend to be more complex and to have more defects. Reducing the cyclomatic complexity of code is not proven to reduce the number of errors or bugs in that code. International safety standards like ISO 26262, however, mandate coding guidelines that enforce low code complexity.[16]
Cyclomatic Complexity in Software Testing is a testing metric used for measuring the complexity of a software program. It is a quantitative measure of independent paths in the source code of a software program. Cyclomatic complexity can be calculated by using control flow graphs or with respect to functions, modules, methods or classes within a software program.
Basis Path testing is one of White box technique and it guarantees to execute atleast one statement during testing. It checks each linearly independent path through the program, which means number test cases, will be equivalent to the cyclomatic complexity of the program.
Cyclomatic complexity can be calculated manually if the program is small. Automated tools need to be used if the program is very complex as this involves more flow graphs. Based on complexity number, team can conclude on the actions that need to be taken for measure.
Many tools are available for determining the complexity of the application. Some complexity calculation tools are used for specific technologies. Complexity can be found by the number of decision points in a program. The decision points are if, for, for-each, while, do, catch, case statements in a source code.
Cyclomatic complexity is a software metric, used to indicate the complexity of a program. It is a quantitative measure of the number of linearly independent paths through a program's source code. It was developed by Thomas J. McCabe, Sr. in 1976. Cyclomatic complexity is computed using the control flow graph of the program: the nodes of the graph correspond to indivisible groups of commands of a program, and a directed edge connects two nodes if the second command might be executed immediately af...
In this post, we will explore complexity from the perspectiveof execution flow in our code. We will have a lookat a formal, rigorous method of assessing this complexity and,even though these measures are not novel,they are still worth knowing (and trying out) when strivingfor quality software.
A graph consists of nodes and edges.In a program, a node can be seen as aninstruction, while an edge representscontrol flow between the nodes. Conditionalstatements are then represented by branching,while iteration is expressed as revisitingnodes on a path (decisions are accented):
Note that I onlydrew a single node to represent the return flowas we need a single exit node for our graph.I do not adhere to the single return philosophypopularized by most structured programmers.For cyclomatic complexity,it does not matter whether we use a variablethat is initialized and assigned based onthe decision in each branch and return that variableor whether we leave out the intermediate state.The exit node can be seen as the same operation:returning the value decided upon.
Perhaps the most famous tool forcontinous quality inspection isSonarQube. It supports multiplelanguages, a widerange of metricsand offers both offline toolsand an online platform. Withregards to complexity, theyoffer cyclomatic complexity and theirown metric,cognitive complexity,which is supposed to be a correctionon cyclometic complexity measurementsby focusing more on the understandabilityof the code.
Cyclomatic complexity focuses on the complexityof the program control graph. This does notnecessarily mean that it will adequatelypredict whether code is easy to understand,but it can be used as an indicator forfurther investigation.
Another point of discussion is whether the calculationsshould apply to any programming paradigm or style.Functional, reactive, event-driven paradigms and stylestypically use different flow constructs than theirimperative counterparts. It can even be debatedwhether the metric is as useful for object-oriented code.Either way, the cyclomatic complexity can be calculated;the treshold for what is considered acceptable or notshall differ per project, language and paradigm.
Quality measurescan help our team find out which lines ofcode need to be made more elegant and simple,which lines are in need of more extensive testingand of which lines we can be proud.One such measure, although imperfect and ambiguous,is cyclomatic complexity. Even though the metricdoes not directly lead to a conclusion about the qualityof our code, it can help us identify the areas thatneed some work.Perhaps in a later blog post, we willexplore other (complexity) metrics.
The art of software development often involves striking a delicate balance between creating intricate, powerful applications and maintaining clean, efficient code. To pull off this balancing act, software engineers must first understand cyclomatic complexity in software engineering.
It is important to note that the sole determinant of code efficiency cannot only be cyclomatic complexity, meaning other factors must also be taken into account. These factors may include code readability, design patterns, adherence to best practices, and more. However, cyclomatic complexity is a valuable tool for assessing software quality and provides a useful starting point when identifying areas for improvement or refactoring.
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