Since a few years, common sense seems to dictate that it's better to program against interfaces rather than against implementations. For high-level code this indeed seems logical, e.g. if I have a complex solver in my application, it seems better to have something like this:
ISolver *solver = solverFactory.getSolver();
solver->solve(inputdata);
Rather than
Solver solver;
solver.solve(inputdata);
In the first code it is also easier to mock the solver, and thus, to unit test.
But my question is: at which level doesn't it make sense anymore to use interface. E.g. if I have a ComplexNumber class (or String class, or whatever) in my application, then writing this:
IComplexNumber *complexNumber = complexNumberFactory.create(1,2); // 1+2i
Seems much more complex (especially regarding performance) than writing:
ComplexNumber complexNumber(1,2); // 1+2i
So, which elements are important in deciding whether something should be put behind an interface and when it shouldn't be put behind an interface?