Const and non const template specialization

Use this technique:

#include <type_traits>

template< typename T, typename = void >
class Size
{
  unsigned int operator() (T) {return sizeof(T);}
};

template< typename T >
class Size< T, typename std::enable_if<
                 std::is_same< T, char* >::value ||
                 std::is_same< T, const char* >::value
               >::type >
{
  unsigned int operator() ( T str ) { /* your code here */ }
};

EDIT: Example of how to define the methods outside of the class definition.

EDIT2: Added helper to avoid repeating the possibly long and complex condition.

EDIT3: Simplified helper.

#include <type_traits>
#include <iostream>

template< typename T >
struct my_condition
  : std::enable_if< std::is_same< T, char* >::value ||
                    std::is_same< T, const char* >::value >
{};

template< typename T, typename = void >
struct Size
{
  unsigned int operator() (T);
};

template< typename T >
struct Size< T, typename my_condition< T >::type >
{
  unsigned int operator() (T);
};

template< typename T, typename Dummy >
unsigned int Size< T, Dummy >::operator() (T)
{
  return 1;
}

template< typename T >
unsigned int Size< T, typename my_condition< T >::type >::operator() (T)
{
  return 2;
}

int main()
{
  std::cout << Size< int >()(0) << std::endl;
  std::cout << Size< char* >()(0) << std::endl;
  std::cout << Size< const char* >()(0) << std::endl;
}

which prints

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2
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