Is there a way to calculate modularity metric from the preexisting metrics in SonarQube? I want to calculate modularity so that I can use it for my technical debt calculation.
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The Modularity of software is a composite metric. Thus, first you need to define the modularity and participating metrics. The paper you mentioned (http://arxiv.org/ftp/arxiv/papers/1309/1309.5689.pdf) offers one of the ways. An alternative way is to detect modularity design smells and form a modularity metric formula (that uses the number of detected instances of modularity design smells). The modularity design smells are: Insufficient Modularization, Broken Modularization, Cyclically-dependent Modularization, and Hub-like Modularization (refer "Refactoring for software design smells").