Why can't I specialize function template?

Question

Why could I specialize class A, but can't specialize function sum in the same way? How do I make this code work? Thanks in advance.

template<class T>
class A
{
};

template<class T>
class A<T*>
{
};

template<class T>
T sum(const T& a, const T& b)
{
    return a + b;
}

template<class T>
T sum<T*> (const T* a, const T* b)
{
    return *a + *b;
}

int _tmain(int argc, _TCHAR* argv[])
{
    int a = 1, b = 2;
    cout << sum<int>(&a, &b);`
    A<int> c;
    A<int*> d;
    return 0;
}

Answer 1

You can't partialy specialize function templates, the standard forbids it. But you can simply overload it:

template<class T>
T sum(const T& a, const T& b);

template<class T>
T sum (const T* a, const T* b); // note the absence of <T*> here

Answer 2

As it has already been stated, function templates cannot be partially specialized.

There are several workarounds though in situations where you really need partial specialization (instead of overload). I just wanted to add that in cases like that you can often literally implement partially specialized behavior by delegating the call to a class template

template<typename T> struct sum_impl {
  static T sum(const T& a, const T& b) {
    return a + b;
  }
};

template<typename T> struct sum_impl<T*> {
  static T sum(const T* a, const T* b) {
    return *a + *b;
  }
};

template <typename T>
T sum(const T& a, const T& b)
{
  return sum_impl<T>::sum(a, b);
}