Stable Abstractions Principle is a success key of your OOP C++ project.

Robert C.Martin wrote an interesting article about a set of metrics that can be used to measure the quality of an object-oriented design in terms of the interdependence between the subsystems of that design.

Here’s from the article what he said about the interdependence between modules:

What is it that makes a design rigid, fragile and difficult to reuse. It is the interdependence of the subsystems within that design. A design is rigid if it cannot be easily changed. Such rigidity is due to the fact that a single change to heavily interdependent software begins a cascade of changes in dependent modules. When the extent of that cascade of change cannot be predicted by the designers or maintainers the impact of the change cannot be estimated. This makes the cost of the change impossible to estimate. Managers, faced with such unpredictability, become reluctant to authorize changes. Thus the design becomes rigid.

And to fight the rigidity he introduces metrics like Afferent coupling, Efferent coupling, Abstractness and Instability.

Afferent Coupling:
The number of types outside this project that depend on types within this project.

Efferent Coupling
The number of types outside this project used by types of this project.

The efferent coupling and afferent coupling could be applied also on namespaces and types. For example the efferent coupling for a particular type is the number of types it directly depends on. Types where TypeCe is very high are types that depend on too many other types. They are complex and in general have more than one responsibility.

Abstractness

The ratio of the number of internal abstract types (i.e abstract classes and interfaces) to the number of internal types. The range for this metric is 0 to 1, with A=0 indicating a completely concrete project and A=1 indicating a completely abstract project

A = Na / Nc

Where:

A = abstractness of a module
Zero is a completely concrete module. One is a completely abstract module.
Na = number of abstract classes in the module.
Nc = number of concrete classes in the module.

Instability

The ratio of efferent coupling (Ce) to total coupling. I = Ce / (Ce + Ca). This metric is an indicator of the project’s resilience to change. The range for this metric is 0 to 1, with I=0 indicating a completely stable project and I=1 indicating a completely instable project.

I = Ce/(Ce + Ca)
I represent the degree of instability associated with a project.
Ca represents the afferent coupling, or incoming dependencies, and
Ce represents the efferent coupling, or outgoing dependencies

Abstractness vs Instability Graph and the zone of pain

Here’s as example the Abstractness vs Instability Graph of the C++ POCO libray

The idea behind this graph is that the more a code element of a program is popular, the more it should be abstract. Or in other words, avoid depending too much directly on implementations, depend on abstractions instead. By popular code element I mean a project (but the idea works also for packages and types) that is massively used by other projects of the program.

It is not a good idea to have concrete types very popular in your code base. This provokes some Zones of Pains in your program, where changing the implementations can potentially affect a large portion of the program. And implementations are known to evolve more often than abstractions.

The main sequence line (dotted) in the above diagram shows the how abstractness and instability should be balanced. A stable component would be positioned on the left. If you check the main sequence you can see that such a component should be very abstract to be near the desirable line – on the other hand, if its degree of abstraction is low, it is positioned in an area that is called the “zone of pain”.

How to fight the rigidity when using the OOP approach?

As Robert C Martin wrote in its article, we have to use the abstract classes and the interfaces to make our projects more flexible and reduce the high coupling between the code elements.

The coupling in OOP could be introduced by:

  • Inheritance: Which is overused when choosing the OOP paradigm and unfortunately in many cases it makes the code more rigid. Some design patterns are useful to resolve the rigidity  introduced by the inheritance like the Adapter pattern which minimize the rigidity introduced by the inheritance.
  • Using directly concrete implementation: In this case the code become also rigid because it’s difficult to change the code if we needed to use another library or framework for some reason. Like inheritance there are some design patterns to minimize the rigidity like the Bridge or the Proxy.

When using the OOP approach it’s recommended to master the GOF structural pattern, they help to fight the rigidity introduced by the coupling.