So, I'm building an implementation of List for a programming exercise. So far I have this:
#include <iostream> 
#include <algorithm>
using namespace std;
template <class T> class Link;
template <class T> class List_iterator;
template <class T> 
class List
{
public:
   typedef List_iterator<T> iterator;
   List();
   List(const List<T> & l);
   ~List();
   bool empty() const;
   unsigned int size() const; 
   T & back() const;
   T & front() const;
   void push_front(const T & x);
   void push_back(const T & x);
   void pop_front();
   void pop_back();
   iterator begin() const;
   iterator end() const;
   void insert(iterator pos, const T & x);
   void erase(iterator & pos); 
   List<T> & operator=(const List<T> & l);
protected:
   Link<T> * first_link;
   Link<T> * last_link;
   unsigned int my_size;
};
template <class T>
List<T>::List()
{
        first_link = 0;
        last_link = 0;
        my_size = 0;
}
template <class T>
List<T>::List(const List & l)
{
        first_link = 0;
        last_link = 0;
        my_size = 0;
        for (Link<T> * current = l.first_link; current != 0; current = current -> next_link)
                push_back(current -> value);
}
template <class T>
typename List<T>::iterator List<T>::begin() const
{
        return iterator(first_link);
}
template <class T> 
class Link 
{
private:
   Link(const T & x): value(x), next_link(0), prev_link(0) {}//pg. 204 
   T value;     
   Link<T> * next_link;
   Link<T> * prev_link;
   friend class List<T>;
   friend class List_iterator<T>;
};
template <class T> class List_iterator
{
public:
   typedef List_iterator<T> iterator;
   List_iterator(Link<T> * source_link): current_link(source_link) { }
   List_iterator(): current_link(0) { }
   List_iterator(List_iterator<T> * source_iterator): current_link(source_iterator.current_link) { }
   T & operator*();  // dereferencing operator
   iterator & operator=(const iterator & rhs);
   bool operator==(const iterator & rhs) const;
   bool operator!=(const iterator & rhs) const;
   iterator & operator++(); 
   iterator operator++(int);
   iterator & operator--(); 
   iterator operator--(int); 
protected:
   Link<T> * current_link;
   friend class List<T>;
};
template <class T>
T & List_iterator<T>::operator*()
{
        return current_link -> value;
}
template <class T>
List_iterator<T> & List_iterator<T>::operator++()
{
        current_link = current_link -> next_link;
        return *this;
}
template <class T>
void List<T>::push_back(const T & x)
{
    link<T> * last_link = new link<T> (x);
    if (empty())
    first_link = last_link;
    else 
    {
        last_link->prev_link = last_link;
        last_link->prev_link = last_link;
    last_link = last_link;
    }
}
template <class T>
typename List<T>::iterator List<T>::end() const
{
        return iterator(last_link);
}
int main()
{
   List<int> l;
   l.push_back(44);  // list = 44
   l.push_back(33);  // list = 44, 33
   l.push_back(11);  // list = 44, 33, 11
   l.push_back(22);  // list = 44, 33, 11, 22
   List<int> m(l);
   List<int>::iterator itr(m.begin());
   while (itr != m.end()) {
        cout << *itr << endl;
        itr++;
   }
}`
I'm having a lot of trouble with my push_back() function and I'm not quite sure what's wrong. Can anyone point out my errors?
Updated Code In Progress:
#include <iostream> 
#include <algorithm>
using namespace std;
template <class T> class Link;
template <class T> class List_iterator;
template <class T> 
class List
{
public:
   typedef List_iterator<T> iterator;
   List();
   List(const List<T> & l);
   ~List();
   bool empty() const;
   unsigned int size() const; 
   T & back() const;
   T & front() const;
   void push_front(const T & x);
   void push_back(const T & x);
   void pop_front();
   void pop_back();
   iterator begin() const;
   iterator end() const;
   void insert(iterator pos, const T & x);
   void erase(iterator & pos); 
   List<T> & operator=(const List<T> & l);
protected:
   Link<T> * first_link;
   Link<T> * last_link;
   unsigned int my_size;
};
template <class T>
List<T>::List()
{
        first_link = 0;
        last_link = 0;
        my_size = 0;
}
template <class T>
List<T>::List(const List & l)
{
        first_link = 0;
        last_link = 0;
        my_size = 0;
        for (Link<T> * current = l.first_link; current != 0; current = current -> next_link)
                push_back(current -> value);
}
template <class T>
typename List<T>::iterator List<T>::begin() const
{
        return iterator(first_link);
}
template <class T> 
class Link 
{
private:
   Link(const T & x): value(x), next_link(0), prev_link(0) {}//pg. 204 
   T value;     
   Link<T> * next_link;
   Link<T> * prev_link;
   friend class List<T>;
   friend class List_iterator<T>;
};
template <class T> class List_iterator//pg.207
{
public:
   typedef List_iterator<T> iterator;
   List_iterator(Link<T> * source_link): current_link(source_link) { }
   List_iterator(): current_link(0) { }
   List_iterator(List_iterator<T> * source_iterator): current_link(source_iterator.current_link) { }
   T & operator*();  // dereferencing operator
   iterator & operator=(const iterator & rhs);
   bool operator==(const iterator & rhs) const;
   bool operator!=(const iterator & rhs) const;
   iterator & operator++(); 
   iterator operator++(int);
   iterator & operator--(); 
   iterator operator--(int); 
protected:
   Link<T> * current_link;
   friend class List<T>;
};
template <class T>
T & List_iterator<T>::operator*()
{
        return current_link -> value;
}
template <class T>
List_iterator<T> & List_iterator<T>::operator++()
{
        current_link = current_link -> next_link;
        return *this;
}
template <class T>
void List<T>::push_back(const T & x)
{
    Link<T> * new_link = new Link<T> (x);
    if (first_link = 0)
    first_link = last_link = new_link;
    else
    {
    new_link->prev_link = last_link;
        last_link->next_link = new_link;    
        last_link = new_link;
    }
    my_size++;
}
template <class T>
typename List<T>::iterator List<T>::end() const
{
        return iterator(last_link);
}
template <class T>
List <T>::~List()
{
    Link <T> * first = first_link;
    while (first != 0)
    {
    Link <T> * next = first->next_link;
        delete first;
    first = next;
    }
}
template<class T>
bool List_iterator<T>::operator==(const iterator & rhs) const
{
    return ( this->current_link == rhs.current_link ); 
}
template <class T>
bool List_iterator<T>::operator!=(const iterator & rhs) const
{
    return !( *this == rhs );
}
int main()
{
   List<int> l;
   l.push_back(44);  // list = 44
   l.push_back(33);  // list = 44, 33
   l.push_back(11);  // list = 44, 33, 11
   l.push_back(22);  // list = 44, 33, 11, 22
   List<int> m(l);
   List<int>::iterator itr(m.begin());
   while (itr != m.end()) {
        cout << *itr << endl;
        ++itr;
   }
}
                Mario's and Joe's answers are both valid (I would vote them up if I could).
Assuming that what you posted is your ACTUAL code for push_back() then Link<T> has the wrong case.
link<T> * last_link = new link<T> (x);
...should be:
Link<T> * last_link = new Link<T> (x);
Doing this gets rid of error: expected primary-expression before ‘>’ token (when compiled with g++)
An alternative to what Mario and Joe suggested, is to NOT hide your List<T>'s last_link.  Use a temporary variable that does NOT have the same name as your class's data member.  Change: 
Link<T> * last_link = new Link<T> (x);
...to...
Link<T> * new_link = new Link<T> (x);
This will make your code clearer and you will be referencing the right node.
Following the above steps should make two logic errors in push_back() evident.  I'm willing to assist, but I'm sure you will see it.
The following line creates a local variable named last_link inside push_back().
link<T> * last_link = new link<T> (x);
Referencing last_link after this will point to this local variable instead of the class member. You'll have to add this-> in front of the class ones, e.g. this->last_link = last_link;.
You have a local variable that is the same as a member variable name.  When you're using last_link you're using the one that you just created in the push_back function.  You're also assigning last_link->prev_link twice.  Then also assigning last_link = last_link.  I'd either change the name of the local variable, or add this-> in front of it.
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