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連結串列C語言-很好的教程

in this tutorial, you will learn aboutC linked list data structure and how to implement the most commonly used linked list operations.

Introduction to linked list data structure

A linked list is a data structure that consists of sequence of nodes. Each node is composed of two fields:data field and reference field

which is a pointer that points to the next node in the sequence.

Linked List - Node

Linked List Node

Each node in the list is also called an element. The reference field that contains a pointer which points to the next node is callednext pointer or next link.

A head pointer is used to track the first element in the linked list therefore it always points to the first element.

The following picture illustrates a linked list

c linked list

The linked list data structure is designed to be efficient for insertion or removal of elements from any position in the list. However other operations such as getting the last element or finding an element that stores specific data requires scanning most or all the elements in the list.

Linked list is also used to implement other data structure such as stack and queue.

C Linked List implementation

We can model a node of the linked list using a structure as follows:

typedef struct node{
    int data;
    struct node* next;
}

The node structure has two members:

  • data stores the information
  • next pointer holds the address of the next node.

Add a node at the beginning of the linked list

First we declare a head pointer that always points to the first node of the list.

node* head;

To add a node at the beginning of list:

First, we need to create a new node. We will need to create a new node each time we want to insert a new node into the list so we can develop a function that creates a new node and return it.

node* create(int data,node* next)
{
    node* new_node = (node*)malloc(sizeof(node));
    if(new_node == NULL)
    {
        printf("Error creating a new node.\n");
        exit(0);
    }
    new_node->data = data;
    new_node->next = next;
 
    return new_node;
}
Second, we need to point the next pointer of the new node to thehead pointer and point the head pointer to the new node. It works for both empty and non-empty linked list.
node* prepend(node* head,int data)
{
    node* new_node = create(data,head);
    head = new_node;
    return head;
}

The following picture illustrates how to insert a node when the list is empty:

Add a node into an empty linked list

Add a node into an empty linked list

The following picture illustrates how to insert a node at the beginning of a non-empty linked list:

Add a new node at the beginning of a non-empty linked list

Add a new node at the beginning of a non-empty linked list

Traverse the linked list

Sometimes we may want to traverse the linked list to get the data stored in each node for further manipulation e.g., display the node information. To traverse the linked list, we start from first node, and move to the next node until we reach a NULL pointer.

To make the traverse() function more general, we can add a function pointer that points to a function for linked list node manipulation as a parameter of thetraverse() function.

We define a call back function for manipulate a node of the linked list:

typedef void (*callback)(node* data);
The following is the traverse() function:
void traverse(node* head,callback f)
{
    node* cursor = head;
    while(cursor != NULL)
    {
        f(cursor);
        cursor = cursor->next;
    }
}

Count the elements of the linked list

We can use the same traversing technique to count the number of elements in a linked list. See the followingcount() function:

int count(node *head)
{
    node *cursor = head;
    int c = 0;
    while(cursor != NULL)
    {
        c++;
        cursor = cursor->next;
    }
    return c;
}

Add a new node at the end of the linked list

To add a new node at the end of the linked list:

First, we need to find the last node of the list. Starting the the first node which is indicated by thehead pointer, we traverse the list until the next pointer reaches NULL.

node *cursor = head;
while(cursor->next != NULL)
   cursor = cursor->next;
Second, we create a new node with the next pointer points toNULL , and the next pointer of the cursor points to the new node:
node* new_node =  create(data,NULL);
cursor->next = new_node;
Add a new node at the end of the linked list

Add a new node at the end of the linked list

The following is the append() function that adds a new node at the end of the linked list.

node* append(node* head, int data)
{
    /* go to the last node */
    node *cursor = head;
    while(cursor->next != NULL)
        cursor = cursor->next;
 
    /* create a new node */
    node* new_node =  create(data,NULL);
    cursor->next = new_node;
 
    return head;
}

Insert a new node after a particular node

To insert a new node after a particular node, we need to:

First, verify if the node exists in the list, we call this node is prev node

node *cursor = head;
while(cursor != prev)
   cursor = cursor->next;
If it exists, we point the next pointer of the new node to the next node that the next pointer of theprev node points to, and point the next pointer of the prev node to the new node.
node* new_node = create(data,cursor->next);
cursor->next = new_node;

The following picture illustrates how to insert a new node after a particular node in the linked list:

Insert a new after a particular node in the linked list

Insert a new after a particular node in the linked list

The insert_after() function is as follows:

/*
    insert a new node after the prev node
*/
node* insert_after(node *head, int data, node* prev)
{
    /* find the prev node, starting from the first node*/
    node *cursor = head;
    while(cursor != prev)
        cursor = cursor->next;
 
    if(cursor != NULL)
    {
        node* new_node = create(data,cursor->next);
        cursor->next = new_node;
        return head;
    }
    else
    {
        return NULL;
    }
}

Insert a new node before a particular node

To insert a new node before a particular node named nxt we need to:

  • First, if the nxt node is the first node, we can all the prepend() function to add a new node at the beginning of the list, otherwise we find the previous node of thenxt node, suppose it is the cursor node.
  • Second, point the next pointer of the new node to the node that thenext pointer of the cursor points to and point the next pointer of the cursor to the new node.

The following picture illustrates how to insert a node before a particular node:

Insert a node before a particular node

Insert a node before a particular node

The following is the insert_before() function that inserts a new node before a particular node in the linked list:

node* insert_before(node *head, int data, node* nxt)
{
    if(nxt == NULL || head == NULL)
        return NULL;
 
    if(head == nxt)
    {
        head = prepend(head,data);
        return head;
    }
 
    /* find the prev node, starting from the first node*/
    node *cursor = head;
    while(cursor != NULL)
    {
        if(cursor->next == nxt)
            break;
        cursor = cursor->next;
    }
 
    if(cursor != NULL)
    {
        node* new_node = create(data,cursor->next);
        cursor->next = new_node;
        return head;
    }
    else
    {
        return NULL;
    }
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Search for a node

To search for a node that stores given data, we scan the whole list and return the first node that store the searched data. The following illustrates the search function:

node* search(node* head,int data)
{
 
    node *cursor = head;
    while(cursor!=NULL)
    {
        if(cursor->data == data)
            return cursor;
        cursor = cursor->next;
    }
    return NULL;
}

The search() function returns NULL if no node stores the input data.

Sort a linked list using insertion sort

We can sort a linked list using the insertion sort algorithm. The following is the insertion_sort() function that sorts a linked list:

node* insertion_sort(node* head)
{
    node *x, *y, *e;
 
    x = head;
    head = NULL;
 
    while(x != NULL)
    {
        e = x;
        x = x->next;
        if (head != NULL)
        {
            if(e->data > head->data)
            {
                y = head;
                while ((y->next != NULL) && (e->data> y->next->data))
                {
                    y = y->next;
                }
                e->next = y->next;
                y->next = e;
            }
            else
            {
                e->next = head;
                head = e ;
            }
        }
        else
        {
            e->next = NULL;
            head = e ;
        }
    }
    return head;
}

Reverse linked list

To reverse a linked list, you change the next pointer of each node from the next node to the previous node. The followingreverse() function reverses a linked list.

node* reverse(node* head)
{
    node* prev    = NULL;
    node* current = head;
    node* next;
    while (current != NULL)
    {
        next  = current->next;
        current->next = prev;
        prev = current;
        current = next;
    }
    head = prev;
    return head;
}

Delete a node from the front of the linked list

To delete a node from front of the linked list is relatively simple. We point thehead to the next node and remove the node that the head pointed to.

Notice that if the list has only one node, we should set the head pointer to NULL.

Linked list - remove from front

Remove from the front of the list

The following is the remove_front() function:

node* remove_front(node* head)
{
    if(head == NULL)
        return NULL;
    node *front = head;
    head = head->next;
    front->next = NULL;
    /* is this the last node in the list */
    if(front == head)
        head = NULL;
    free(front);
    return head;
}

Delete a node from the back of the linked list

To remove a node from the back of the linked list, we need to:

  • Use two pointers: cursor and back to track the node.
  • Start from the first node until the cursor pointer reaches the last node and theback pointer reaches the node before the last node.
  • Set the next pointer of the back to NULL and delete the node that the cursor points to.
  • If the node has only 1 element, set the head pointer to NULLbefore removing the node.

See the following picture:

Delete a node from the back of the linked list

Delete a node from the back of the linked list

The following is the function to remove a node from the back of the linked list:

node* remove_back(node* head)
{
    if(head == NULL)
        return NULL;
 
    node *cursor = head;
    node *back = NULL;
    while(cursor->next != NULL)
    {
        back = cursor;
        cursor = cursor->next;
    }
    if(back != NULL)
        back->next = NULL;
 
    /* if this is the last node in the list*/
    if(cursor == head)
        head = NULL;
 
    free(cursor);
 
    return head;
}

Delete a node in the middle of the linked list

To delete a node in the middle of the linked list:
If the node is the first node, call remove_front() function to remove it.
If the node is the last node, call remove_back() function to remove it.
If the node is in the middle of the list:

  • Traverse from the first node, use the cursor pointer to point to the node before the node that needs to be removed e.g., in the picture, the node that needs to be removed is2 and the cursor pointer points to node 5.
  • Use a tmp pointer to point to the node that need to be removed.
  • Set the next pointer of the cursor point to the node that thenext pointer of the tmp points to.
  • Remove the node that the tmp pointer points to.

The following picture illustrates how to delete a node in the middle of the linked list:

Remove middle node of a linked list

Remove the middle node of a linked list

The following is the function that can be used to remove any node in the linked list:

node* remove_any(node* head,node* nd)
{
    /* if the node is the first node */
    if(nd == head)
    {
        head = remove_front(head);
        return head;
    }
 
    /* if the node is the last node */
    if(nd->next == NULL)
    {
        head = remove_back(head);
        return head;
    }
 
    /* if the node is in the middle */
    node* cursor = head;
    while(cursor != NULL)
    {
        if(cursor->next = nd)
            break;
        cursor = cursor->next;
    }
 
    if(cursor != NULL)
    {
        node* tmp = cursor->next;
        cursor->next = tmp->next;
        tmp->next = NULL;
        free(tmp);
    }
    return head;
}

Delete the whole linked list

It is important to remove all nodes of the linked list when you no longer use it. The followingdispose() function releases memory allocated for all the nodes in a linked list:

void dispose(node *head)
{
    node *cursor, *tmp;
 
    if(head != NULL)
    {
        cursor = head->next;
        head->next = NULL;
        while(cursor != NULL)
        {
            tmp = cursor->next;
            free(cursor);
            cursor = tmp;
        }
    }
}

C Linked List Program

We can write a program to test the linked list functions that we’ve developed in the above section.

/*
& File     : main.c
* Author   : zentut.com
* Purpose  : C Linked List Data Structure
* Copyright: @ zentut.com
*/
#include <stdio.h>
#include <stdlib.h>
 
typedef struct node
{
    int data;
    struct node* next;
} node;
 
typedef void (*callback)(node* data);
 
/*
    create a new node
    initialize the data and next field
 
    return the newly created node
*/
node* create(int data,node* next)
{
    node* new_node = (node*)malloc(sizeof(node));
    if(new_node == NULL)
    {
        printf("Error creating a new node.\n");
        exit(0);
    }
    new_node->data = data;
    new_node->next = next;
 
    return new_node;
}
 
/*
    add a new node at the beginning of the list
*/
node* prepend(node* head,int data)
{
    node* new_node = create(data,head);
    head = new_node;
    return head;
}
 
/*
    add a new node at the end of the list
*/
node* append(node* head, int data)
{
    if(head == NULL)
        return NULL;
    /* go to the last node */
    node *cursor = head;
    while(cursor->next != NULL)
        cursor = cursor->next;
 
    /* create a new node */
    node* new_node =  create(data,NULL);
    cursor->next = new_node;
 
    return head;
}
 
/*
    insert a new node after the prev node
*/
node* insert_after(node *head, int data, node* prev)
{
    if(head == NULL || prev == NULL)
        return NULL;
    /* find the prev node, starting from the first node*/
    node *cursor = head;
    while(cursor != prev)
        cursor = cursor->next;
 
    if(cursor != NULL)
    {
        node* new_node = create(data,cursor->next);
        cursor->next = new_node;
        return head;
    }
    else
    {
        return NULL;
    }
}
 
/*
    insert a new node before the nxt node
*/
node* insert_before(node *head, int data, node* nxt)
{
    if(nxt == NULL || head == NULL)
        return NULL;
 
    if(head == nxt)
    {
        head = prepend(head,data);
        return head;
    }
 
    /* find the prev node, starting from the first node*/
    node *cursor = head;
    while(cursor != NULL)
    {
        if(cursor->next == nxt)
            break;
        cursor = cursor->next;
    }
 
    if(cursor != NULL)
    {
        node* new_node = create(data,cursor->next);
        cursor->next = new_node;
        return head;
    }
    else
    {
        return NULL;
    }
}
 
/*
    traverse the linked list
*/
void traverse(node* head,callback f)
{
    node* cursor = head;
    while(cursor != NULL)
    {
        f(cursor);
        cursor = cursor->next;
    }
}
/*
    remove node from the front of list
*/
node* remove_front(node* head)
{
    if(head == NULL)
        return NULL;
    node *front = head;
    head = head->next;
    front->next = NULL;
    /* is this the last node in the list */
    if(front == head)
        head = NULL;
    free(front);
    return head;
}
 
/*
    remove node from the back of the list
*/
node* remove_back(node* head)
{
    if(head == NULL)
        return NULL;
 
    node *cursor = head;
    node *back = NULL;
    while(cursor->next != NULL)
    {
        back = cursor;
        cursor = cursor->next;
    }
 
    if(back != NULL)
        back->next = NULL;
 
    /* if this is the last node in the list*/
    if(cursor == head)
        head = NULL;
 
    free(cursor);
 
    return head;
}
 
/*
    remove a node from the list
*/
node* remove_any(node* head,node* nd)
{
    if(nd == NULL)
        return NULL;
    /* if the node is the first node */
    if(nd == head)
        return remove_front(head);
 
    /* if the node is the last node */
    if(nd->next == NULL)
        return remove_back(head);
 
    /* if the node is in the middle */
    node* cursor = head;
    while(cursor != NULL)
    {
        if(cursor->next == nd)
            break;
        cursor = cursor->next;
    }
 
    if(cursor != NULL)
    {
        node* tmp = cursor->next;
        cursor->next = tmp->next;
        tmp->next = NULL;
        free(tmp);
    }
    return head;
 
}
/*
    display a node
*/
void display(node* n)
{
    if(n != NULL)
        printf("%d ", n->data);
}
 
/*
    Search for a specific node with input data
 
    return the first matched node that stores the input data,
    otherwise return NULL
*/
node* search(node* head,int data)
{
 
    node *cursor = head;
    while(cursor!=NULL)
    {
        if(cursor->data == data)
            return cursor;
        cursor = cursor->next;
    }
    return NULL;
}
 
/*
    remove all element of the list
*/
void dispose(node *head)
{
    node *cursor, *tmp;
 
    if(head != NULL)
    {
        cursor = head->next;
        head->next = NULL;
        while(cursor != NULL)
        {
            tmp = cursor->next;
            free(cursor);
            cursor = tmp;
        }
    }
}
/*
    return the number of elements in the list
*/
int count(node *head)
{
    node *cursor = head;
    int c = 0;
    while(cursor != NULL)
    {
        c++;
        cursor = cursor->next;
    }
    return c;
}
/*
    sort the linked list using insertion sort
*/
node* insertion_sort(node* head)
{
    node *x, *y, *e;
 
    x = head;
    head = NULL;
 
    while(x != NULL)
    {
        e = x;
        x = x->next;
        if (head != NULL)
        {
            if(e->data > head->data)
            {
                y = head;
                while ((y->next != NULL) && (e->data> y->next->data))
                {
                    y = y->next;
                }
                e->next = y->next;
                y->next = e;
            }
            else
            {
                e->next = head;
                head = e ;
            }
        }
        else
        {
            e->next = NULL;
            head = e ;
        }
    }
    return head;
}
 
/*
    reverse the linked list
*/
node* reverse(node* head)
{
    node* prev    = NULL;
    node* current = head;
    node* next;
    while (current != NULL)
    {
        next  = current->next;
        current->next = prev;
        prev = current;
        current = next;
    }
    head = prev;
    return head;
}
/*
    display the menu
*/
void menu()
{
    printf("--- C Linked List Demonstration --- \n\n");
    printf("0.menu\n");
    printf("1.prepend an element\n");
    printf("2.append an element\n");
    printf("3.search for an element\n");
    printf("4.insert after an element\n");
    printf("5.insert before an element\n");
    printf("6.remove front node\n");
    printf("7.remove back node\n");
    printf("8.remove any node\n");
    printf("9.sort the list\n");
    printf("10.Reverse the linked list\n");
    printf("-1.quit\n");
 
}
 
int main()
{
    int command = 0;
    int data;
 
    node* head = NULL;
    node* tmp = NULL;
    callback disp = display;
 
    menu();
    while(1)
    {
        printf("\nEnter a command(0-10,-1 to quit):");
        scanf("%d",&command);
 
        if(command == -1)
            break;
        switch(command)
        {
        case 0:
            menu();
            break;
        case 1:
            printf("Please enter a number to prepend:");
            scanf("%d",&data);
            head = prepend(head,data);
            traverse(head,disp);
            break;
        case 2:
            printf("Please enter a number to append:");
            scanf("%d",&data);
            head = append(head,data);
            traverse(head,disp);
            break;
        case 3:
            printf("Please enter a number to search:");
            scanf("%d",&data);
            tmp = search(head,data);
            if(tmp != NULL)
            {
                printf("Element with value %d found.",data);
            }
            else
            {
                printf("Element with value %d not found.",data);
            }
            break;
        case 4:
            printf("Enter the element value where you want to insert after:");
            scanf("%d",&data);
            tmp = search(head,data);
            if(tmp != NULL)
            {
                printf("Enter the element value to insert after:");
                scanf("%d",&data);
                head = insert_after(head,data,tmp);
                if(head != NULL)
                    traverse(head,disp);
            }
            else
            {
                printf("Element with value %d not found.",data);
            }
            break;
        case 5:
            printf("Enter the element value where you want to insert before:");
            scanf("%d",&data);
            tmp = search(head,data);
            if(tmp != NULL)
            {
                printf("Enter the element value to insert before:");
                scanf("%d",&data);
                head = insert_before(head,data,tmp);
 
                if(head != NULL)
                    traverse(head,disp);
            }
            else
            {
                printf("Element with value %d not found.",data);
            }
            break;
        case 6:
            head = remove_front(head);
            if(head != NULL)
                traverse(head,disp);
            break;
        case 7:
            head = remove_back(head);
            if(head != NULL)
                traverse(head,disp);
            break;
        case 8:
            printf("Enter the element value to remove:");
            scanf("%d",&data);
            tmp = search(head,data);
            if(tmp != NULL)
            {
                remove_any(head,tmp);
                if(head != NULL)
                    traverse(head,disp);
            }
            else
            {
                printf("Element with value %d not found.",data);
            }
            break;
        case 9:
            head = insertion_sort(head);
            if(head != NULL)
                traverse(head,disp);
            break;
        case 10:
            head = reverse(head);
            if(head != NULL)
                traverse(head,disp);
            break;
        }
 
    }
    dispose(head);
    return 0;
}
The following is the output when we ran the C linked list program above:
--- C Linked List Demonstration ---
 
0.menu
1.prepend an element
2.append an element
3.search for an element
4.insert after an element
5.insert before an element
6.remove front node
7.remove back node
8.remove any node
9.sort the list
10.Reverse the linked list
-1.quit
 
Enter a command(0-10,-1 to quit):1
Please enter a number to prepend:1
1
Enter a command(0-10,-1 to quit):1
Please enter a number to prepend:3
3 1
Enter a command(0-10,-1 to quit):1
Please enter a number to prepend:2
2 3 1
Enter a command(0-10,-1 to quit):1
Please enter a number to prepend:5
5 2 3 1
Enter a command(0-10,-1 to quit):2
Please enter a number to append:6
5 2 3 1 6
Enter a command(0-10,-1 to quit):2
Please enter a number to append:9
5 2 3 1 6 9
Enter a command(0-10,-1 to quit):2
Please enter a number to append:8
5 2 3 1 6 9 8
Enter a command(0-10,-1 to quit):2
Please enter a number to append:0
5 2 3 1 6 9 8 0
Enter a command(0-10,-1 to quit):3
Please enter a number to search:2
Element with value 2 found.
Enter a command(0-10,-1 to quit):3
Please enter a number to search:4
Element with value 4 not found.
Enter a command(0-10,-1 to quit):4
Enter the element value where you want to insert after:3
Enter the element value to insert after:4
5 2 3 4 1 6 9 8 0
Enter a command(0-10,-1 to quit):5
Enter the element value where you want to insert before:1
Enter the element value to insert before:-1
5 2 3 4 -1 1 6 9 8 0
Enter a command(0-10,-1 to quit):6
2 3 4 -1 1 6 9 8 0
Enter a command(0-10,-1 to quit):7
2 3 4 -1 1 6 9 8
Enter a command(0-10,-1 to quit):8
Enter the element value to remove:1
2 3 4 -1 6 9 8
Enter a command(0-10,-1 to quit):9
-1 2 3 4 6 8 9
Enter a command(0-10,-1 to quit):10
9 8 6 4 3 2 -1
Enter a command(0-10,-1 to quit):-1

轉載自:http://www.zentut.com/c-tutorial/c-linked-list/