双向链表是一种常见的数据结构,它由多个节点组成,每个节点包含一个数据项和两个指针,分别指向前一个节点和后一个节点。C++中可以通过定义一个双向链表类来实现该数据结构。
双向链表的优势在于它可以高效地进行插入和删除操作,因为它不需要像数组那样移动大量的元素来维护顺序。另外,双向链表还可以支持双向遍历,即可以从头部开始或尾部开始遍历整个链表。
在C++中,可以使用指针来实现双向链表。每个节点的定义可以如下:
class Node {
public:
int data;
Node* prev;
Node* next;
};
在双向链表中,为了方便操作,通常还会定义一个指向头节点和尾节点的指针。下面是一个简单的双向链表类的定义:
class DoublyLinkedList {
private:
Node* head;
Node* tail;
public:
// 构造函数和析构函数
DoublyLinkedList();
~DoublyLinkedList();
// 插入操作
void insertFront(int value); // 在链表头部插入节点
void insertBack(int value); // 在链表尾部插入节点
void insertAfter(int key, int value); // 在指定节点后插入节点
// 删除操作
void deleteNode(int value); // 删除指定值的节点
void deleteFront(); // 删除头节点
void deleteBack(); // 删除尾节点
// 遍历操作
void displayForward(); // 正向遍历链表
void displayBackward(); // 反向遍历链表
};
具体的实现可以根据需求进行,下面是一些常用操作的示例实现:
DoublyLinkedList::DoublyLinkedList() {
head = NULL;
tail = NULL;
}
DoublyLinkedList::~DoublyLinkedList() {
Node* current = head;
while (current != NULL) {
Node* next = current->next;
delete current;
current = next;
}
}
void DoublyLinkedList::insertFront(int value) {
Node* newNode = new Node;
newNode->data = value;
newNode->prev = NULL;
newNode->next = head;
if (head != NULL) {
head->prev = newNode;
}
head = newNode;
if (tail == NULL) {
tail = newNode;
}
}
void DoublyLinkedList::insertBack(int value) {
Node* newNode = new Node;
newNode->data = value;
newNode->prev = tail;
newNode->next = NULL;
if (tail != NULL) {
tail->next = newNode;
}
tail = newNode;
if (head == NULL) {
head = newNode;
}
}
void DoublyLinkedList::insertAfter(int key, int value) {
Node* current = head;
while (current != NULL && current->data != key) {
current = current->next;
}
if (current != NULL) {
Node* newNode = new Node;
newNode->data = value;
newNode->prev = current;
newNode->next = current->next;
if (current->next != NULL) {
current->next->prev = newNode;
} else {
tail = newNode;
}
current->next = newNode;
}
}
void DoublyLinkedList::deleteNode(int value) {
Node* current = head;
while (current != NULL && current->data != value) {
current = current->next;
}
if (current != NULL) {
if (current->prev != NULL) {
current->prev->next = current->next;
} else {
head = current->next;
}
if (current->next != NULL) {
current->next->prev = current->prev;
} else {
tail = current->prev;
}
delete current;
}
}
void DoublyLinkedList::deleteFront() {
if (head != NULL) {
Node* temp = head;
head = head->next;
if (head != NULL) {
head->prev = NULL;
} else {
tail = NULL;
}
delete temp;
}
}
void DoublyLinkedList::deleteBack() {
if (tail != NULL) {
Node* temp = tail;
tail = tail->prev;
if (tail != NULL) {
tail->next = NULL;
} else {
head = NULL;
}
delete temp;
}
}
void DoublyLinkedList::displayForward() {
Node* current = head;
while (current != NULL) {
cout << current->data << " ";
current = current->next;
}
cout << endl;
}
void DoublyLinkedList::displayBackward() {
Node* current = tail;
while (current != NULL) {
cout << current->data << " ";
current = current->prev;
}
cout << endl;
}
这是一个简单的双向链表实现,你可以根据自己的需求对其进行扩展和改进。至于未分配要释放的指针问题,可以在析构函数中遍历链表并释放节点所占用的内存。
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