Circular Doubly-Linked List

linked_list.h

#ifndef LINKED_LIST_H
#define LINKED_LIST_H

#include <stddef.h>

typedef int ll_data_t;
typedef struct list list_t;
typedef struct list_node node_t;

// constructs a new (empty) list
struct list *list_create(void);

// counts the items on a list
size_t list_count(const struct list *list);

// inserts item at back of a list
void list_push(struct list *list, ll_data_t item_data);

// removes item from back of a list
ll_data_t list_pop(struct list *list);

// inserts item at front of a list
void list_unshift(struct list *list, ll_data_t item_data);

// removes item from front of a list
ll_data_t list_shift(struct list *list);

// deletes a node that holds the matching data
void list_delete(struct list *list, ll_data_t data);

// destroys an entire list
// list will be a dangling pointer after calling this method on it
void list_destroy(struct list *list);

#endif

linked_list.c

#include "linked_list.h"
#include <stdlib.h>

struct list_node {
   struct list_node *prev, *next;
   ll_data_t data;
};

struct list {
   struct list_node *head, *tail;
   size_t length;
};

struct list *list_create(void)
{
   list_t *new_list = malloc(sizeof(list_t));
   if (!new_list)
      return NULL;
   new_list->head = NULL;
   new_list->tail = NULL;
   new_list->length = 0;
   return new_list;
}

size_t list_count(const struct list *list)
{
   return list->length;
}

static node_t *create_node(ll_data_t data, struct list *list)
{
   node_t *new_node = malloc(sizeof(node_t));
   if (!new_node)
      return NULL;
   new_node->data = data;
   if (list->head != NULL) {
      new_node->prev = list->tail;
      new_node->next = list->head;
      list->tail->next = new_node;
      list->head->prev = new_node;
   } else {
      new_node->prev = new_node;
      new_node->next = new_node;
      list->head = new_node;
      list->tail = new_node;
   }
   list->length++;
   return new_node;
}

static ll_data_t destroy_node(node_t *node, struct list *list)
{
   ll_data_t data = node->data;
   node->prev->next = node->next;
   node->next->prev = node->prev;
   if (node == list->head)
      list->head = node->next;
   if (node == list->tail)
      list->tail = node->prev;
   node->prev = NULL;
   node->next = NULL;
   free(node);
   node = NULL;
   list->length--;
   if (list->length == 0) {
      list->head = NULL;
      list->tail = NULL;
   }
   return data;
}

void list_push(struct list *list, ll_data_t item_data)
{
   list->tail = create_node(item_data, list);
}

ll_data_t list_pop(struct list *list)
{
   return destroy_node(list->tail, list);
}

void list_unshift(struct list *list, ll_data_t item_data)
{
   list->head = create_node(item_data, list);
}

ll_data_t list_shift(struct list *list)
{
   return destroy_node(list->head, list);
}

void list_delete(struct list *list, ll_data_t data)
{
   node_t *node = list->head;
   while (node) {
      if (node->data == data) {
         destroy_node(node, list);
         break;
      }
      if (node->next == list->head)
         break;
      node = node->next;
   }
}

void list_destroy(struct list *list)
{
   while (list->length > 0) {
      list_pop(list);
   }
   free(list);
   list = NULL;
}

There are several ways of implementing a circular doubly-linked list. This approach adds a length field which is initialized to 0 on list creation and updated as nodes are added and removed.

A circular doubly-linked list populated with at least one node does not have NULL values for any node's prev or next fields.

• If there is only one node in the list, its prev and next fields will point to itself.
• If there are two nodes in a list, node A will point to node B for both its prev and next fields. Likewise, node B will point to node A for both its prev and next fields.
• If there are three nodes in a list, node A's prev will point at node C and node A's next will point at node B. Node B's prev will point at node A and node B's next will point at node C. Node C's prev will point at node B and node C's next will point at node A.

The only time the list's head and tail will be NULL is when the list is empty. This is enforced by the list_create function.

The list_count function returns the value of the list's length field.

The create_node function is a helper function to handle adding a node. Whether the node is added to the back or the front of the list, the new node is always placed between the tail and the head of the list, so the same implementation for creating the node is used for adding a node to either the front or back.

If it is thought that the most usual case is that the list already has one or more nodes, then the condition can be tested first that the head is not NULL (instead of testing first for if the head is NULL). If the head is not NULL, then the new node is "wired up" to have its prev be the tail and its next be the head. Also, the tail's next will be the new node and the head's prev will be the new node.

If the head is NULL, then the new node will be the only node in the list, so its prev and next fields will point at itself, and it will be both the head and tail of the list.

The length of the list is incremented for the new node, and the new node is returned from the create_node function.

The destroy_node function is a helper function to handle removing a node. Whether the node is removed from the back or front of the list, or from somewhere else, the same implementation for removing the node is used.

The removed node's data is saved to be returned at the end of the function.

The removed node's next field is assigned to the next field of the node before the removed node, so the node before the removed node now has a next pointing at the node after the removed node.

The removed node's prev field is assigned to the prev field of the node after the removed node, so the node after the removed node now has a prev pointing at the node before the removed node.

node->prev->next = node->next;
node->next->prev = node->prev;
if (node == list->head)
   list->head = node->next;
if (node == list->tail)
   list->tail = node->prev;

If the node being removed is either the head or the tail, then the head or tail is adjusted accordingly.

The removed node's prev and next fields are set to NULL, the removed node's memory is freed, and the removed node is set to NULL.

node->prev = NULL;
node->next = NULL;
free(node);
node = NULL;
list->length--;
if (list->length == 0) {
   list->head = NULL;
   list->tail = NULL;
}
return data;

The list length is decremented for the removed node, and if there are no nodes remaining, then the head and tail are set to NULL.

Finally, the removed node's data is returned from the destroy_node function.

The list_push function sets the list's tail to the node returned from calling the create_node function.

The list_pop function returns the data resulting from passing the list's tail to the destroy_node function.

The list_unshift function sets the list's head to the node returned from calling the create_node function.

The list_shift function returns the data resulting from passing the list's head to the destroy_node function.

The list_delete function sets a node variable to the list head. The while loop will iterate if the node variable is not NULL. If the head is already NULL, then the list is empty, the loop will not execute, and no node will be deleted.

void list_delete(struct list *list, ll_data_t data)
{
   node_t *node = list->head;
   while (node) {
      if (node->data == data) {
         destroy_node(node, list);
         break;
      }
      if (node->next == list->head)
         break;
      node = node->next;
   }
}

Inside the while loop, the data for the node variable is tested against the data passed into the function. If the values match, then destroy_node is passed the node variable, and break is used to exit the loop. If the values don't match, then the node's next field is checked for being the head. If so, then the looping has gone "full circle" and the loop is exited without having found a node with matching data. If the next field is not the head, then node is set to its next node, and the loop iterates again.

The while loop in the list_destroy function will iterate if the length of the list is greater than 0. If the length is already 0, then the list is empty, the loop will not execute, and no node will be destroyed.

void list_destroy(struct list *list)
{
   while (list->length > 0) {
     list_pop(list);
   }
   free(list);
   list = NULL;
}

Inside the while loop the list_pop function is called on the list until the length of the list is 0.

Once the while loop is done, the list is freed and set to NULL.