I remember reading a succinct description of the public-non-virtual/non-public-virtual idiom and its advantages, but not where. This wikibook has an okay description.
Here is how you apply it to op==:
struct A {
virtual ~A() {}
int a;
friend
bool operator==(A const& lhs, A const& rhs) {
return lhs.equal_to(rhs);
}
// http://en.wikipedia.org/wiki/Barton-Nackman_trick
// used in a simplified form here
protected:
virtual bool equal_to(A const& other) const {
return a == other.a;
}
};
struct B : A {
int b;
protected:
virtual bool equal_to(A const& other) const {
if (B const* p = dynamic_cast(&other)) {
return A::equal_to(other) && b == p->b;
}
else {
return false;
}
}
};
struct C : A {
int c;
protected:
virtual bool equal_to(A const& other) const {
if (C const* p = dynamic_cast(&other)) {
return A::equal_to(other) && c == p->c;
}
else {
return false;
}
}
};