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分类: C/C++

2016-09-17 14:22:47

参考
队列,又稱為伫列(queue),是先进先出(FIFO, First-In-First-Out)的线性表。在具体应用中通常用链表或者数组来实现。队列只允许在后端(称为rear)进行插入操作,在前端(称为front)进行删除操作。
    
队列的操作方式和堆栈类似,唯一的区别在于队列只允许新数据在后端进行添加。
    
单链队列[编辑]
     
单链队列使用链表作为基本数据结果,所以不存在伪溢出的问题,队列长度也没有限制。但插入和读取的时间代价较高
/* 单链队列——队列的链式存储结构 */
typedef struct QNode
{
     
QElemType data;
    
struct QNode *next;
}QNode,*QueuePtr;
typedef struct
{
     
QueuePtr front,rear; /* 队头、队尾指针 */
}LinkQueue;
/* 链队列的基本操作(9个) */
void InitQueue(LinkQueue *Q)
{ /* 构造一个空队列Q */
    
Q->front=Q->rear=malloc(sizeof(QNode));
    
if(!Q->front)
        
exit(OVERFLOW);
     
 Q->front->next=NULL;
}


void DestroyQueue(LinkQueue *Q)
{ /* 销毁队列Q(无论空否均可) */
    
while(Q->front)
    
{
               
Q->rear=Q->front->next;
               
free(Q->front);
        
Q->front=Q->rear;
     
}
}

 
void ClearQueue(LinkQueue *Q)
{ /* Q清为空队列 */
    
QueuePtr p,q;
    
Q->rear=Q->front;
         
p=Q->front->next;
    
Q->front->next=NULL;
     
while(p)
     
{
        
q=p;
               
p=p->next;
          
free(q);
    
}
}


Status QueueEmpty(LinkQueue Q)
{ /* Q为空队列,则返回TRUE,否则返回FALSE */
    
if(Q.front->next==NULL)
        
return TRUE;
     
else
     
return FALSE;
}

int QueueLength(LinkQueue Q)
{ /* 求队列的长度 */
    
int i=0;
    
QueuePtr p;
    
p=Q.front;
    
while(Q.rear!=p)
    
{
        
i++;
        
p=p->next;
    
}
    
return i;
}

Status GetHead_Q(LinkQueue Q,QElemType *e)
{ /* 若队列不空,则用e返回Q的队头元素,并返回OK,否则返回ERROR */
    
QueuePtr p;
    
if(Q.front==Q.rear)
        
return ERROR;
        
p=Q.front->next;
    
*e=p->data;
         
return OK;
}

void EnQueue(LinkQueue *Q,QElemType e)
{ /* 插入元素eQ的新的队尾元素 */
    
QueuePtr p= (QueuePtr)malloc(sizeof(QNode));
     
if(!p) /* 存储分配失败 */
        
exit(OVERFLOW);
    
p->data=e;
    
p->next=NULL;
     
Q->rear->next=p;
     
Q->rear=p;
}

Status DeQueue(LinkQueue *Q,QElemType *e)
{ /* 若队列不空,删除Q的队头元素,用e返回其值,并返回OK,否则返回ERROR */
    
QueuePtr p;
    
if(Q->front==Q->rear)
        
return ERROR;
     
p=Q->front->next; /* 指向头结点 */
     
*e=p->data;
     
Q->front->next=p->next; /* 摘下头节点 */
     
if(Q->rear==p)
     
Q->rear=Q->front;
     
free(p);
     
return OK;
}


void QueueTraverse(LinkQueue Q,void(*vi)(QElemType))
{ /* 从队头到队尾依次对队列Q中每个元素调用函数vi() */
    
QueuePtr p;
     
p=Q.front->next;
     
while(p)
    
{
          
vi(p->data);
          
p=p->next;
       
}
    
printf("\n");
}


循环队列[编辑]
循环队列可以更简单防止伪溢出的发生,但队列大小是固定的
/* 队列的顺序存储结构(循环队列) */
#define MAX_QSIZE 5 /* 最大队列长度+1 */ (for flow chart, define MAX_QSIZE 3)
typedef struct
{
    
QElemType *base; /* 初始化的动态分配存储空间 */
     
int front; /* 头指针,若队列不空,指向队列头元素 */
    
int rear; /* 尾指针,若队列不空,指向队列尾元素的下一个位置 */
}SqQueue;

/* 循环队列的基本操作(9) */
void InitQueue(SqQueue *Q)
{ /* 构造一个空队列Q */
    
Q->base=malloc(MAX_QSIZE*sizeof(QElemType));
     
if(!Q->base) /* 存储分配失败 */
          
exit(OVERFLOW);
    
Q->front=Q->rear=0;
}

void DestroyQueue(SqQueue *Q)
{ /* 销毁队列QQ不再存在 */
     
if(Q->base)
          
free(Q->base);
     
Q->base=NULL;
     
Q->front=Q->rear=0;
}
void ClearQueue(SqQueue *Q)
{ /* Q清为空队列 */
     
Q->front=Q->rear=0;
}
Status QueueEmpty(SqQueue Q)
{ /* 若队列Q为空队列,则返回TRUE;否则返回FALSE*/
    
if(Q.front==Q.rear) /* 队列空的标志 */
        
return TRUE;
    
else
        
return FALSE;
}
int QueueLength(SqQueue Q)
{ /* 返回Q的元素个数,即队列的长度 */
    
return(Q.rear-Q.front+MAX_QSIZE)%MAX_QSIZE;
}

Status GetHead(SqQueue Q,QElemType *e)
{ /* 若队列不空,则用e返回Q的队头元素,并返回OK;否则返回ERROR */
    
if(Q.front==Q.rear) /* 队列空 */
        
return ERROR;
    
 *e=Q.base[Q.front];
     
return OK;
}
Status EnQueue(SqQueue *Q,QElemType e)
{ /* 插入元素eQ的新的队尾元素 */
    
if((Q->rear+1)%MAX_QSIZE==Q->front) /* 队列满 */
        
return ERROR;
    
 Q->base[Q->rear]=e;
    
Q->rear=(Q->rear+1)%MAX_QSIZE;
    
return OK;
}

Status DeQueue(SqQueue *Q,QElemType *e)
{ /* 若队列不空,则删除Q的队头元素,用e返回其值,并返回OK;否则返回ERROR */
    
if(Q->front==Q->rear) /* 队列空 */
          
return ERROR;
    
*e=Q->base[Q->front];
    
Q->front=(Q->front+1)%MAX_QSIZE;
    
return OK;
}

void QueueTraverse(SqQueue Q,void(*vi)(QElemType))
{ /* 从队头到队尾依次对队列Q中每个元素调用函数vi() */
     
int i;
    
i=Q.front;
    
while(i!=Q.rear){
          
vi(Q.base[i]);
        
i=(i+1)%MAX_QSIZE;
    
}
    
printf("\n");
}


example 1
#include
#include
#include
#define OVERFLOW -1
#define ERROR -1
#define OK 0
#define FALSE -1
#define TRUE 0


typedef int32_t Status;
/*
*single queue use list as its basical data result, in that case pseudo overflow
*will not happen, And no limit to queue length. But it cost many time-resources
*when insert or read queue.
*/


typedef struct ElemType {
    /*data you want and need*/
    int32_t data;
} QElemType;


/*Single queue--Queue list structure*/
typedef struct QNode {
    QElemType data;
    struct QNode *next;
} QNode, *QueuePtr;


typedef struct {
    QueuePtr front, rear; /*queue header, queue tail pointer*/
} LinkQueue;


void PrintElement(QElemType paraInfo)
{
    printf("paraInfo->data : %d\n", paraInfo.data);    
}
/*Nine operation for list queue*/


void InitQueue(LinkQueue *Q)
{/*create an empty queue Q*/
    Q->front = Q->rear = malloc(sizeof(QNode));
    if (!Q->front) 
        exit(OVERFLOW);
    Q->front->next = NULL;
}


void EnQueue(LinkQueue *Q, QElemType e)
{/*insert new element 'e' as new tail element to 'Q'*/
    QueuePtr p = (QueuePtr)malloc(sizeof(QNode));
    if (!p)
        exit(OVERFLOW);
    p->data = e;
    p->next = NULL;
    Q->rear->next = p;
    Q->rear = p;    
}


void QueueTraverse(LinkQueue Q, void(*vi)(QElemType))
{/*to every element in Q call function vi() from queue header to queue tail*/
    QueuePtr p;
    p = Q.front->next;
    while (p) {
        vi(p->data);
        p = p->next;
    }
    printf("\n");
}


Status DeQueue(LinkQueue *Q, QElemType *e)
{/*if queue is not empty, then delete Q head element and return head's value by parameter 


'*e' as well as return OK, otherwise return ERROR*/
    QueuePtr p;
    if (Q->front == Q->rear)
        return ERROR;
    p = Q->front->next; /*point to head node*/
    *e = p->data;
    Q->front->next = p->next; /*pick down head node*/
    if (Q->rear == p)
        Q->rear = Q->front;
    free(p);
    return OK;
}


Status GetHead_Q(LinkQueue Q, QElemType *e)
{/*if Queue is not null, then return 'Q' head element by '*e' and return OK, otherwise 


return ERROR*/
    QueuePtr p;
    if (Q.front == Q.rear)
        return ERROR;
    p = Q.front->next;
    *e = p->data;
    return OK;
}


int QueueLength(LinkQueue Q)
{/*measure 'Q' length*/
    int i = 0;
    QueuePtr p;
    p = Q.front;
    while (Q.rear != p) {
        i++;
        p = p->next;
    }
    return i;
}


Status QueueEmpty(LinkQueue Q)
{/*if 'Q' is NULL, return TRUE,else return FALSE*/
    if (NULL == Q.front->next)
        return TRUE;
    else
        return FALSE;  
}


void ClearQueue(LinkQueue *Q)
{/*Empty queue*/
    QueuePtr p, q;
    Q->rear = Q->front;
    p = Q->front->next;
    Q->front->next = NULL;
    while (p) {
        q = p;
        p = p->next;
        free(q);
    }
}
void DestroyQueue(LinkQueue *Q)
{/*Destroy queue(no matter empty queue)*/
    while (Q->front) {
        Q->rear = Q->front->next;
        free(Q->front);
        Q->front = Q->rear;
    }
}


/*Sequence queue storage structure(round-robin queue)*/
/*************************************************************
* Round-robin queue have a more easier way to avoid pseudo ov-
*erflow, but Queue size is fixed                           
*************************************************************/
#define MAX_QSIZE 6 /*max Queue length + 1*/
typedef struct {
    QElemType *base; /*dynamic alloc memory space in initialization*/
    int front; /*head pointer,if Queue is not NULL, point to header element*/
    int rear; /*tail pointer, if Queue is not NUll,point to next position of tail element*/
} SqQueue;


/*Nine operation of round-robin Queue*/
void InitSqQueue(SqQueue *Q)
{/*construct a NULL Q*/
    Q->base = malloc(MAX_QSIZE * sizeof(QElemType));
    if (!Q->base)
        exit(OVERFLOW);
    Q->front = Q->rear = 0;
}


Status EnSqQueue(SqQueue *Q, QElemType e)
{/*insert element 'e' as new Sequence Queue element*/
    if ((Q->rear + 1) % MAX_QSIZE == Q->front) /*full Queue*/
        return ERROR;
    Q->base[Q->rear] = e;
    Q->rear = (Q->rear+1) % MAX_QSIZE;
    return OK;
}


int SqQueueLength(SqQueue Q)
{/*return number of SqQueue elements.thus Queue length*/
    return (Q.rear - Q.front + MAX_QSIZE) % MAX_QSIZE;
}


void SqQueueTraverse(SqQueue Q, void(*vi)(QElemType))
{/*for every elements from Q head to Q tail use callback vi()*/
    int i;
    i = Q.front;
    while (i != Q.rear) {
        vi(Q.base[i]);
        i = (i + 1) % MAX_QSIZE;
    }
    printf("\n");
}


Status DeSqQueue(SqQueue *Q, QElemType *e)
{/*if Q is not NULL,then return head element by 'e' and eliminate the elements and return 


OK, Otherwise, return ERROR*/
    if(Q->front == Q->rear) /*NULL Queue*/
        return ERROR;
    *e = Q->base[Q->front];
    Q->front = (Q->front + 1) % MAX_QSIZE;
    return OK;
}


Status GetSqHead(SqQueue Q, QElemType *e)
{/*if Q is not NULL,head element return by 'e' as well as return OK, Otherwise return 


ERROR*/
    if (Q.front == Q.rear)  /*empty Q*/
        return ERROR;
    *e = Q.base[Q.front];
    return OK;
}


Status SqQueueEmpty(SqQueue Q)
{/*if Q is NULL,return TRUE, else return FALSE*/
    if(Q.front == Q.rear) /*empty*/
        return TRUE;
    else
        return FALSE;
}


void ClearSqQueue(SqQueue *Q)
{/*clear Q as empty Q*/
    Q->front = Q->rear = 0;
}


void DestroySqQueue(SqQueue *Q)
{/*Destroy Q, Q will never exit*/
    if (Q->base)
        free(Q->base);
    Q->base = NULL;
    Q->front = Q->rear = 0;
}
int main(int argc, char **argv) 
{
    printf("/*----------------------------------------------------------*/\n");
    printf("          queue is a FIFO (First-In-First-Out)linear list. It \n");
    printf("oftenly use list and array as its data structure. Only insert \n");
    printf("in rear-end and delete in front-end permitted. It has a simil-\n");
    printf("ar operation way as stack, the only difference between them is\n");
    printf("new data can only be insert in rear-end                       \n");
    printf("/*----------------------------------------------------------*/\n");


    printf("/*************************************************************\n");
    printf("*single queue use LIST as its basical data result, In this ca-\n");
    printf("*se pseudo overflow will not happen, And no limit to queue le-\n");
    printf("*ngth. But it cost many time-resources when insert or read qu-\n");
    printf("*eue.                                                         \n");
    printf("*************************************************************/\n");


    LinkQueue traverseLink;
    /*initial queue*/
    InitQueue(&traverseLink);
    printf("Initial single travereLink successful!\n");
    printf("starting add ten elements to single queue...\n");
    int i;
    QElemType element;
    for (i=0; i<10; i++) {
        element.data = i;
        EnQueue(&traverseLink, element);
    }
    printf("add ten elements to single queue successfull!\n");
    
    printf("Getting single queue head element ...\n");
    if (!GetHead_Q(traverseLink, &element))
        printf("head->data :%d \n",element.data);
    if (!GetHead_Q(traverseLink, &element))
        printf("head->data :%d \n",element.data);
    printf("Getting Queue head element end\n");


    printf("Is an empty single Queue ...\n");
    if (!QueueEmpty(traverseLink))
        printf("Single Queue is empty.\n");
    else
        printf("No, not empty single queue.\n");


    printf("traversing single traverseLink ...\n");
    QueueTraverse(traverseLink, PrintElement);
    printf("traverse single traverseLink end!\n");
    
    printf("dequeue from single traverseLink ...\n");
    for (i=0; i<10; i++) {
        if(DeQueue(&traverseLink, &element))
            printf("Dequeue element error position :%d\n", i);
        printf("element->data: %d\n", element.data);
    }
    printf("dequeue single traverseLink ended\n");
    if (!GetHead_Q(traverseLink, &element))
        printf("head->data :%d \n",element.data);
    else
        printf("single queue is empty!\n");
    printf("Is an empty single Queue ...\n");
    if (!QueueEmpty(traverseLink))
printf("Single Queue is empty.\n");
    else 
        printf("No, not empty.\n");


    printf("clearing single Queue ...\n");
    ClearQueue(&traverseLink);
    printf("clear single Queue end.\n");


    printf("Destroying single Queue ...\n");
    DestroyQueue(&traverseLink);
    if ((NULL == traverseLink.front) && (NULL == traverseLink.rear))
        printf("Single Queue destroyed.\n");


    printf("/*************************************************************\n");
    printf("* Round-robin queue have a more easier way to avoid pseudo ov-\n");
    printf("*erflow, but Queue size is fixed                              \n");
    printf("*************************************************************/\n");


    SqQueue sequenceQueue;
    
    printf("Initializing sequence Queueue ...\n");
    InitSqQueue(&sequenceQueue);
    printf("Sequence Queue initial OK\n");


    printf("Starting adding elements to sequence Queue ... \n");
    for (i=0; i<10; i++) {
        element.data = i;
        if (EnSqQueue(&sequenceQueue, element)) {
            printf("%d number of elements added to SqQueue\n", i);
            break; 
        }
        printf("element %d add\n",i);
    }


    printf("measuring SqQueue size ...\n");
    printf("SqQueue length is %d \n",SqQueueLength(sequenceQueue));
    
    printf("traversing SqQueue ... \n");
    SqQueueTraverse(sequenceQueue,PrintElement);
    printf("traverse end\n");
 
    printf("Dequeuing ...\n");
//    while (!DeSqQueue(&sequenceQueue, &element))
//        printf("element->data %d\n", element.data);
//    if (!SqQueueEmpty(sequenceQueue))
//        printf("empty Queue!\n");
    DeSqQueue(&sequenceQueue, &element);
    printf("measuring SqQueue size ...\n");
    printf("SqQueue length is %d \n",SqQueueLength(sequenceQueue));


    printf("Getting head element ... \n");
    GetSqHead(sequenceQueue, &element);
    printf("Get head element %d\n",element.data);


    printf("clearing SqQueue ... \n");
    ClearSqQueue(&sequenceQueue);
    if (!SqQueueEmpty(sequenceQueue))
        printf("Queue is empty now\n");


    printf("Destroying Q ...\n");
    DestroySqQueue(&sequenceQueue);
    if ((!sequenceQueue.base) && (0 == sequenceQueue.rear)) {
        if (sequenceQueue.rear == sequenceQueue.front)
            printf("Q destroyed!\n");
    }
    return 0;
}


example 2
陣列佇列[编辑]


#include
#include
/*佇列資料結構*/
struct Queue
{
  int Array[10];//陣列空間大小
  int head;//前端(front)
  int tail;//後端(rear)
  int length;//佇列長度 //將其視為當前资料大小,並且使用這個成員判斷滿或空    
};
/*資料加入佇列*/
void EnQueue(struct Queue *Queue1,int x)
{
  Queue1->Array[Queue1->tail]=x;
  if(Queue1->tail+1==10)//Queue1->length改為空間大小10
  {
    Queue1->tail=0;//1改為0                 
  }
  else
  {
    Queue1->tail=Queue1->tail+1;
    //Queue1->length=Queue1->length+1;//這行邏輯上有問題   //Modify By pcjackal.tw //這行放


於外面
  }
  Queue1->length=Queue1->length+1;//當前個數增1
}
/*資料移出佇列*/
int DeQueue(struct Queue *Queue1)
{
  int x=Queue1->Array[Queue1->head];
  if(Queue1->head+1==10)//空間大小10
  {
    Queue1->head=0;                               
  }
  else
  {
    Queue1->head=Queue1->head+1;    
  }
  Queue1->length=Queue1->length-1;//移出后減少1
  return x;
}
/*佇列操作*/
int main()
{
  struct Queue *Queue1=malloc(sizeof(struct Queue));//建立資料結構
  Queue1->length=0;//新增長度//10改為0,初始狀態
  Queue1->head=0;//必須要先初始化
  Queue1->tail=0;//必須要先初始化
  EnQueue(Queue1,5);//將5放入佇列
  EnQueue(Queue1,8);//將8放入佇列
  EnQueue(Queue1,3);//將3放入佇列
  EnQueue(Queue1,2);//將2放入佇列
  printf("%d ",DeQueue(Queue1));//輸出佇列(5)  
  printf("%d ",DeQueue(Queue1));//輸出佇列(8)
  printf("%d ",DeQueue(Queue1));//輸出佇列(3) 
  system("pause");   
}
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