C++ template to cover const and non-const method

I tend to like simple solutions, so I would go for the free-function approach, possibly adding SFINAE to disable the function for types other than Aggregate:

template <typename Visitor, typename T>
typename std::enable_if< std::is_same<Aggregate,
                                   typename std::remove_const<T>::type 
                                  >::value
                       >::type
visit( Visitor & v, T & s ) {  // T can only be Aggregate or Aggregate const
    v(s.i);
    v(s.d);   
}

Where enable_if, is_same and remove_const are actually simple to implement if you don't have a C++0x enabled compiler (or you can borrow them from boost type_traits)

EDIT: While writing the SFINAE approach I realized that there are quite a few problems in providing the plain templated (no SFINAE) solution in the OP, which include the fact that if you need to provide more than one visitable types, the different templates would collide (i.e. they would be as good a match as the others). By providing SFINAE you are actually providing the visit function only for the types that fulfill the condition, transforming the weird SFINAE into an equivalent to:

// pseudocode, [] to mark *optional*
template <typename Visitor>
void visit( Visitor & v, Aggregate [const] & s ) {
   v( s.i );
   v( s.d );
}

Normally with this type of thing, it's possibly better to use methods that make sense. For example, load() and save(). They say something specific about the operation that is to be carried out via the visitor. Typically both a const and non-const version is provided (for things like accessors anyway), so it only appears to be duplication, but could save you some headache debugging later down the line. If you really wanted a workaround (which I wouldn't advice), is to declare the method const, and all the members mutable.

struct Aggregate
{
    int i;
    double d;

    template <class Visitor>
    void operator()(Visitor &v)
    {
        visit(this, v);
    }
    template <class Visitor>
    void operator()(Visitor &v) const
    {
        visit(this, v);
    }
  private:
    template<typename ThisType, typename Visitor>
    static void visit(ThisType *self, Visitor &v) {
        v(self->i);
        v(self->d);
    }
};

OK, so there's still some boilerplate, but no duplication of the code that depends on the actual members of the Aggregate. And unlike the const_cast approach advocated by (e.g.) Scott Meyers to avoid duplication in getters, the compiler will ensure the const-correctness of both public functions.

Since your ultimate implementations are not always identical, I don't think there's a real solution for your perceived "problem".

Let's think about this. We have to cater for the situations where Aggregate is either const or non-const. Surely we should not relax that (e.g. by providing only a non-const version).

Now, the const-version of the operator can only call visitors which take their argument by const-ref (or by value), while the non-constant version can call any visitor.

You might think that you can replace one of the two implementations by the other. To do so, you would always implement the const version in terms of the non-const one, never the other way around. Hypothetically:

void operator()(Visitor & v) { /* #1, real work */ }

void operator()(Visitor & v) const
{
  const_cast<Aggregate *>(this)->operator()(v);  // #2, delegate
}

But for this to make sense, line #2 requires that the operation is logically non-mutating. This is possible for example in the typical member-access operator, where you provide either a constant or a non-constant reference to some element. But in your situation, you cannot guarantee that the operator()(v) call is non-mutating on *this!

Therefore, your two functions are really rather different, even though they look formally similar. You cannot express one in terms of the other.

Maybe you can see this another way: Your two functions aren't actually the same. In pseudo-code, they are:

void operator()(Visitor & v) {
  v( (Aggregate *)->i );
  v( (Aggregate *)->d );
}

void operator()(Visitor & v) const {
  v( (const Aggregate *)->i );
  v( (const Aggregate *)->d );
}

---

Actually, coming to think of it, perhaps if you're willing to modify the signature a bit, something can be done:

template <bool C = false>
void visit(Visitor & v)
{
  typedef typename std::conditional<C, const Aggregate *, Aggregate *>::type this_p;
  v(const_cast<this_p>(this)->i);
  v(const_cast<this_p>(this)->d);
}

void operator()(Visitor & v) { visit<>(v); }
void operator()(Visitor & v) const { const_cast<Aggregate *>(this)->visit<true>()(v); }