This works for the function call expression:
f(a);
because the namespace that X::A
belongs to is included in the lookup for the function f
due to argument dependent lookup(ADL), cppreference explains ADL as follows:
Argument-dependent lookup, also known as ADL, or Koenig lookup, is the
set of rules for looking up the unqualified function names in
function-call expressions, including implicit function calls to
overloaded operators. These function names are looked up in the
namespaces of their arguments in addition to the scopes and namespaces
considered by the usual unqualified name lookup.
Argument-dependent lookup makes it possible to use operators defined
in a different namespace
This is covered in the draft C++ standard section 3.4.2
Argument-dependent name lookup:
When the postfix-expression in a function call (5.2.2) is an unqualified-id, other namespaces not considered
during the usual unqualified lookup (3.4.1) may be searched, and in those namespaces, namespace-scope
friend function or function template declarations (11.3) not otherwise visible may be found
and goes on to say:
For each argument type T in the function call, there is a set of zero or more associated namespaces and a
set of zero or more associated classes to be considered. The sets of namespaces and classes is determined
entirely by the types of the function arguments (and the namespace of any template template argument).
and includes the following bullet:
If T is a class type (including unions), its associated classes are: the class itself; the class of which it is a
member, if any; and its direct and indirect base classes. Its associated namespaces are the namespaces
of which its associated classes are members.[...]
and further down provides a similar example to your problem:
namespace NS {
class T { };
void f(T);
void g(T, int);
}
NS::T parm;
void g(NS::T, float);
int main() {
f(parm); // OK: calls NS::f
extern void g(NS::T, float);
g(parm, 1); // OK: calls g(NS::T, float)
}
The function call expression:
g(5);
does not work because ADL does not add any namespaces for arguments that are fundamental types.
Herb Sutter covers ADL in Gotw #30 and in What's In a Class? - The Interface Principle.