I wrote a stack before. Basically, I had two classes, Node and Stack. This stack can just push, pop and check the head of the stack. The code is shown below:
#include <iostream>
using namespace std;
template<class Datatype>
class Node
{
    public:
        Node()
        {
            next = NULL;
            prev = NULL;
        }
        Node* getNext()
        {
            return next;
        }
        Node* getPrev()
        {
            return prev;
        }
        Datatype* getData()
        {
            return &data;
        }
        void changeNext()
        {
            next = NULL;
        }
        void changeNext(Node& nextNode)
        {
            next = &nextNode;
        }
        void changePrev()
        {
            prev = NULL;
        }
        void changePrev(Node& prevNode)
        {
            prev = &prevNode;
        }
        Node* addNext(Node &);
        Node* addPrev(Node &);
        void nodeDel();
        void addData(Datatype &);
    private:
        Node* next;
        Node* prev;
        Datatype data;
};
template<class Datatype>
class Stack
{
    public:
        Stack() : head( NULL )
        {
        }
        int push(Datatype &);
        int pop(Datatype &);
        Datatype* peek();
    private:
        Node<Datatype> *head;
};
template <class Datatype>
Node<Datatype>* Node<Datatype>::addNext(Node<Datatype>& exi_node)
{
    if (exi_node.getNext() == NULL)
    {
        changePrev(exi_node);
        exi_node.changeNext(*this);
    }
    else
    {
        Node* next = exi_node.getNext();
        changePrev(exi_node);
        changeNext(*next);
        exi_node.changeNext(*this);
        next -> changePrev(*this);
    }
    return &exi_node;
}
template <class Datatype>
Node<Datatype>* Node<Datatype>::addPrev(Node<Datatype>& exi_node)
{
    if (exi_node.getPrev() == NULL)
    {
        changeNext(exi_node);
        exi_node.changePrev(*this);
    }
    else
    {
        Node* prev = exi_node.getPrev();
        changePrev(*prev);
        changeNext(exi_node);
        exi_node.changePrev(*this);
        prev -> changeNext(*this);
    }
    return &exi_node;
}
template<class Datatype>
void Node<Datatype>::nodeDel()
{
    if (prev == NULL && next == NULL)
        ;
    else if (prev == NULL)
    {
        Node* next = getNext();
        next -> changePrev();
    }
    else if (next == NULL)
    {
        Node* prev = getPrev();
        prev -> changeNext();
    }
    else
    {
        Node* next = getNext();
        Node* prev = getPrev();
        next -> changePrev(*prev);
        prev -> changeNext(*next);  
    }
    delete this;
    return;
}
template <class Datatype>
void Node<Datatype>::addData(Datatype &new_data)
{
    data = new_data;
}
template <class Datatype>
int Stack<Datatype>::push(Datatype &new_data)
{
    Node<Datatype> *pt_node = new Node<Datatype>;
    if (pt_node == NULL)
        return -1;
    pt_node -> addData(new_data);
    if (head == NULL)
        head = pt_node;
    else
    {
        pt_node -> addPrev(*head);
        head = pt_node;
    }
    cout << *(head -> getData()) << endl;
    return 0;
}
template <class Datatype>
int Stack<Datatype>::pop(Datatype &pop_data)
{
    if (head == NULL)
        return 0;
    pop_data = *(head -> getData());
    if (head -> getNext() == NULL)
    {
        delete head;
        head = NULL;
    }
    else
    {
        Node<Datatype>* temp = head;
        head = head -> getNext();
        delete temp;
    }
    return 1;
}
template <class Datatype>
Datatype* Stack<Datatype>::peek()
{
    return (this->head)->getData();
}
It's a pretty simple stack. The Stack class has some interface for users and also a pointer points to the first Node. Node class has two pointers pointing to both direction and also a data field. Now, I want to add a function to my Stack, which is to find the min value in the stack within O(1). One method is to add a field "local_min" in Node class, which records the minimum value beneath itself. In this way, pop(), push(), find_min() can all be done in O(1). My intuition is to have inheritance of both Node and Stack, because I only need to add a new function. However, I feel this very inconvenient. I have to rewrite almost all the functions. The pointer in both Node and Stack pointed to class Node. If I use a new class, like New_Node, all the thing has to be changed. Are there any good ways for me to do this extension? I really feel like inheritance should be working well here. However, I cannot figure it out.
 
     
     
    