一、隊(duì)列
隊(duì)列是一種限定性的線性表,只能在隊(duì)尾進(jìn)行插入,在隊(duì)頭刪除操作。先進(jìn)先出的線性表。

二、順序隊(duì)列

上圖所示,入隊(duì)和出隊(duì)的操作中,頭、尾指針只增加不減小,導(dǎo)致被刪除元素的空間永遠(yuǎn)無法重新利用。盡管數(shù)組中的元素個數(shù)遠(yuǎn)遠(yuǎn)小于數(shù)組大小,但由于尾指針已經(jīng)指向向量空間的上限,導(dǎo)致不能進(jìn)行入隊(duì)操作,這種現(xiàn)象稱為“假溢出”現(xiàn)象。
為了解決“假溢出”的問題,我們往往在定義一個順序隊(duì)列時,定義的是一個循環(huán)隊(duì)列,即:將隊(duì)列分配的空間看成是一個首尾相接的圓環(huán)。如下圖所示:

循環(huán)隊(duì)列為空時,對頭指針和隊(duì)尾指針的位置是相同的,為了解決循環(huán)隊(duì)列無法區(qū)分隊(duì)空和隊(duì)滿的情況,讓循環(huán)隊(duì)列中隊(duì)尾指針永遠(yuǎn)指向一個空白區(qū)域:

1. 順序隊(duì)列的結(jié)構(gòu)體設(shè)計
#define MAXSIZE 10//線性表長度的最大值
#define ERROR 0
#define OK 1
#define TRUE 1
#define FALSE 0
typedef int Status;//狀態(tài)值
typedef int ElemType;//結(jié)點(diǎn)的數(shù)據(jù)類型,視實(shí)際情況而定。在此以int為例。
typedef struct SqQueue{
ElemType data[MAXSIZE];
int front;
int rear;
}SqQueue;
2.初始化一個空隊(duì)列
Status InitSqQueue(SqQueue *Q){
Q->front = Q->rear = 0;
return OK;
}
3.清空隊(duì)列
Status ClearSqQueue(SqQueue *Q) {
Q->rear = Q->front = 0;
return OK;
}
4.隊(duì)列是否為空
//判斷循環(huán)隊(duì)列是否為空
int isSqQueueClear(SqQueue Q) {
if (Q.rear == Q.front) {
return 1;
}else {
return 0;
}
}
5.獲取隊(duì)列的長度
int GetSqQueueLength(SqQueue Q) {
int length = Q.rear-Q.front;
return length;
}
6.出隊(duì)
Status PopSqQueue(SqQueue *Q, ElemType *e) {
//隊(duì)列為空不能出隊(duì)
if (Q->front == Q->front) {
return ERROR;
}
//返回出隊(duì)元素
*e = Q->data[Q->front];
Q->front = (Q->front+1)%MAXSIZE;
return OK;
}
7.入隊(duì)
Status PushSqQueue(SqQueue *Q, ElemType e) {
//隊(duì)滿不能入隊(duì)
if ((Q->rear+1)%MAXSIZE == Q->front) {
return ERROR;
}
Q->data[Q->rear] = e;
Q->rear = (Q->rear+1)%MAXSIZE;
return OK;
}
8.遍歷
void TraverseSqQueue(SqQueue Q) {
int i = Q.front;
while (i != Q.rear) {
printf("%d ",Q.data[i]);
i = (i+1)%MAXSIZE;
}
printf("\n");
}
二、鏈?zhǔn)疥?duì)列
1. 鏈?zhǔn)疥?duì)列的結(jié)構(gòu)體設(shè)計
//結(jié)點(diǎn)
typedef struct Node{
ElemType data;
struct Node *next;
}Node;
typedef struct Node *NodePtr;
//隊(duì)列鏈表
typedef struct LinkQueue{
NodePtr front;
NodePtr rear;
}LinkQueue;
2.初始化一個空隊(duì)列
Status InitLinkQueue(LinkQueue *Q){
Q->rear = Q->front = (NodePtr)malloc(sizeof(Node));
if (Q->front == NULL) {
return ERROR;
}
Q->front->next = NULL;
return OK;
}
3.清空隊(duì)列
//清空隊(duì)列
Status ClearLinkQueue(LinkQueue *Q){
NodePtr p,q;
Q->rear = Q->front;
p = Q->front->next;
Q->front->next = NULL;
while (p) {
q=p;
p=p->next;
free(q);
}
return OK;
}
4.隊(duì)列是否為空
int IsEmpty(LinkQueue Q){
if (Q.front->next == Q.rear->next) {
return 1;
}
return 0;
}
5.獲取隊(duì)列的長度
int LinkQueueLength(LinkQueue Q){
int i = 0;
NodePtr p = Q.front;
while (p != Q.rear) {
i++;
p = p->next;
}
return i;
}
6.出隊(duì)
Status PopLinkQueue(LinkQueue *Q){
if (Q->front == Q->rear) {
return ERROR;
}
NodePtr temp = Q->front->next;
Q->front->next = temp->next;
free(temp);
return OK;
}
7.入隊(duì)
Status PushLinkQueue(LinkQueue *Q, ElemType e) {
NodePtr p = (NodePtr)malloc(sizeof(Node));
if (p == NULL) {
return ERROR;
}
p->data = e;
p->next = NULL;
Q->rear->next = p;
Q->rear = Q->rear->next;
return OK;
}
8.遍歷
void TranverseLinkQueue(LinkQueue Q){
NodePtr p = Q.front->next;
while (p) {
printf("%d ",p->data);
p = p->next;
}
printf("\n");
}
9.銷毀隊(duì)列
//銷毀隊(duì)列
Status DeletLinkQueue(LinkQueue *Q){
while (Q->front) {
Q->rear = Q->front->next;
free(Q->front);
Q->front = Q->rear;
}
return OK;
}