线性表

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#线性表 #c语言

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本文详细介绍了线性表的三种存储结构：顺序存储、单链表存储和双向链表存储，并提供了C语言实现的示例代码。通过对比不同存储结构的特点和优缺点，帮助读者理解如何在实际应用中选择合适的线性表存储方式。

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▶线性表的顺序存储结构

typedef struct {
	ElementType *element;			// 存储空间基地址
	int length;						// 当前长度
	int listsize;						// 当前分配的存储容量（ElementType)为单位）
}LinearList;


C语言部分实现如下：
#include <stdio.h>
#include <stdlib.h>

#define TRUE 1				//true
#define FALSE 0				//false
#define OK 1				//success
#define ERROR 0				//fail
#define INFEASIBLE -1		//infeasible  不可实行的
#define OVERFLOW -2			//overflow

#define LIST_INIT_SIZE 100  //线性表存储空间的初始分配量
#define LISTINCREMENT 10    //线性表存储空间的分配增量

typedef int ElementType;
typedef int Status;

typedef struct {
	ElementType *element;
	int length; 			//当前长度
	int listsize; 			//存储容量
}List;

static List list = {0};

Status initList(List *list);
Status destroy(List *list);
Status clear(List *list);
Status isEmpty(List *list);
Status length(List *list);
Status getElement(List *list, int i, ElementType *element);
Status compare(ElementType e1, ElementType e2);
Status locateElement(List *list, ElementType element, Status (* compare)(ElementType e1, ElementType e2));
Status prior(List *list, ElementType current, ElementType *prior);
Status next(List *list, ElementType current, ElementType *next);
Status insert(List *list, int i, ElementType element);
Status deleteElement(List *list, int i, ElementType *element);
Status add(List *list, ElementType element);

Status initList(List *list)
{
	//分配空间
	list->element = (ElementType *)malloc(LIST_INIT_SIZE * sizeof(ElementType));

	if (!list->element)
	{
		exit(OVERFLOW);
	}

	list->length = 0;
	list->listsize = LIST_INIT_SIZE;

	return OK;
}

Status destroy(List *list)
{
	if (list)
	{
		free(list->element);
		list->element = NULL;
	}

	return OK;
}

Status clear(List *list)
{
	int i = 0;

	if (list)
	{
		for (i = 0; i < list->length; i++)
		{
			list->element[i] = 0;
		}

		list->length = 0;
	}

	return OK;
}

Status isEmpty(List *list)
{
	if (0 == list->length)
	{
		return TRUE;
	}

	return FALSE;
}

Status length(List *list)
{
	if (list)
	{
		return list->length;
	}

	return 0;
}

Status getElement(List *list, int i, ElementType *element)
{
	if (!list)
	{
		return ERROR;
	}

	if (i < 0 || i >= list->length)
	{
		return ERROR;
	}

	*element = list->element[i];

	return OK;
}

Status compare(ElementType e1, ElementType e2)
{
	Status result = 2;

	if (e1 > e2)
	{
		result = 1;
	}
	else if (e1 == e2)
	{
		result = 0;
	}
	else
	{
		result = -1;
	}

	return result;
}

Status locateElement(List *list, ElementType element, Status (* compare)(ElementType e1, ElementType e2))
{
	ElementType i = 0;
	ElementType *p = NULL;

	p = list->element;

	while (i < list->length && (* compare)(*p++, element))
	{
		i++;
	}

	if (i < list->length)
	{
		return i;
	}
	else
	{
		return 0;
	}
}

Status prior(List *list, ElementType current, ElementType *prior)
{
	ElementType i = 0;

	i = locateElement(list, current, compare);

	if (i > 0)
	{
		*prior = list->element[i - 1];
	}

	return OK;
}

Status next(List *list, ElementType current, ElementType *next)
{
	ElementType i = 0;

	i = locateElement(list, current, compare);

	if (i != 0 && i < list->length - 1)
	{
		*next = list->element[i + 1];
	}

	return OK;
}

Status insert(List *list, int i, ElementType element)
{
	ElementType *newSpace = NULL;
	ElementType *insertPlace = NULL;
	ElementType *temp = NULL;

	if (i < 0 || i >= list->length)
	{
		return ERROR;
	}
	//长度大于容量，分配新空间
	if (list->length >= list->listsize)
	{
		newSpace = (ElementType *)realloc(list->element, (list->listsize + LISTINCREMENT) * sizeof(ElementType));

		if (!newSpace)
		{
			return ERROR;
		}

		list->element = newSpace;
		list->listsize += LISTINCREMENT;
	}

	insertPlace = &(list->element[i - 1]);

	for (temp = &(list->element[list->length - 1]); temp >= insertPlace; temp--)
	{
		*(temp + 1) = *temp;
	}

	*insertPlace = element;
	list->length++;

	return OK;
}

Status deleteElement(List *list, int i, ElementType *element)
{
	ElementType *p = NULL;
	ElementType *temp = NULL;

	if (!list)
	{
		return ERROR;
	}

	if (i < 0 || i > list->length - 1)
	{
		return ERROR;
	}

	p = &list->element[i - 1];
	element = p;

	temp = list->element + list->length - 1;

	for (++p; p <= temp; ++p)
	{
		*(p - 1) = *p;
	}

	list->length--;

	return OK;
}

Status add(List *list, ElementType element)
{
	if (!list)
	{
		return ERROR;
	}

	list->element[list->length] = element;
	list->length++;

	return OK;
}

int main()
{
	int i = 0;
	int element = 0;

	initList(&list);

	for (i = 0; i < 100; i++)
	{
		add(&list, i);
	}

//	insert(&list, 3, 100);

	printf("%d\n", isEmpty(&list));
	deleteElement(&list, 54, &element);
	printf("%d\n", element);

	for (i = 0; i < list.length; i++)
	{
		printf("%d, ", list.element[i]);
	}

	getchar();

	return 0;
}

▶线性表的单链表存储结构

typedef struct Node {
	ElementType data;				// 数据
	struct Node *next;				// 下一个节点
}LinkedList;

C语言部分实现如下：

#include <stdio.h>
#include <stdlib.h>

#define TRUE 1				//true
#define FALSE 0				//false
#define OK 1				//success
#define ERROR 0				//fail

typedef int ElementType;
typedef int Status;

typedef struct Node {
	ElementType element;
	struct Node *next;
}Node, *LinkedList;

LinkedList linkedList = {0};

Status init(LinkedList linkedList);
Status createHead(LinkedList *linkedList, int n);
Status createTail(LinkedList *linkedList, int n);
Status getElement(LinkedList linkedList, int i, ElementType *element);
Status insert(LinkedList linkedList, int i, ElementType element);
Status delete(LinkedList linkedList, int i, ElementType *element);

Status init(LinkedList linkedList)
{
	linkedList = (Node *)malloc(sizeof(Node));

	if (!linkedList)
	{
		return ERROR;
	}

	linkedList->next = NULL;

	return OK;
}

Status createHead(LinkedList *linkedList, int n)
{
	int i = 0;
	LinkedList point = NULL;
	*linkedList = (LinkedList)malloc(sizeof(Node));
	(*linkedList)->next = NULL;

	for (i = 0; i < n; i++)
	{
		point = (LinkedList)malloc(sizeof(Node));
		point->element = i;
		point->next = (*linkedList)->next;
		(*linkedList)->next = point;
	}

	return OK;
}

Status createTail(LinkedList *linkedList, int n)
{
	int i = 0;
	LinkedList point = NULL;
	LinkedList temp = NULL;
	*linkedList = (LinkedList)malloc(sizeof(Node));
	(*linkedList)->next = NULL;

	temp = *linkedList;

	for (i = 0; i < n; i++)
	{
		point = (LinkedList)malloc(sizeof(Node));
		point->element = i;
		temp->next = point;
		temp = point;
	}

	return OK;
}

Status getElement(LinkedList linkedList, int i, ElementType *element)
{
	Node *point = NULL;
	int j = 0;

	point = linkedList;

	while (point && j < i)
	{
		point = point->next;
		j++;
	}

	if (!point || j > i)
	{
		return ERROR;
	}

	*element = point->element;

	return OK;
}

Status insert(LinkedList linkedList, int i, ElementType element)
{
	LinkedList point = NULL;
	LinkedList insert = NULL;
	int j = 0;

	point = linkedList;

	while (point && j < i)
	{
		point = point->next;
		++j;
	}

	if (!point || j > i)
	{
		return ERROR;
	}

	insert = (LinkedList)malloc(sizeof(Node));
	insert->element = element;
	insert->next = point->next;
	point->next = insert;

	return OK;
}

Status delete(LinkedList linkedList, int i, ElementType *element)
{
	LinkedList point = NULL;
	LinkedList temp = NULL;
	int j = 0;

	point = linkedList;

	while (point && j < i)
	{
		point = point->next;
		++j;
	}

	if (!(point->next) || j > i)
	{
		return ERROR;
	}

	temp = point->next;
	point->next = temp->next;

	free(temp);

	return OK;
}

int main()
{
	int i = 0;
	LinkedList temp = NULL;
	ElementType element = 0;

	createTail(&linkedList, 10);
	temp = linkedList->next;

	insert(linkedList, 4, 12);
	delete(linkedList, 4, &element);

	for (i = 0; i < 10; i++)
	{
		printf("%d, ", temp->element);
		temp = temp->next;
	}

	getElement(linkedList, 4, &element);
	printf("\n%d", element);

//	getchar();
	return 0;
}

▶线性表的双向链表存储结构

typedef struct Node {
	ElementType data;				// 数据
	struct Node *prior;				// 上一个节点
	struct Node *next;				// 下一个节点
}DoubleLinkedList;

C语言的部分实现如下：

#include <stdio.h>
#include <stdlib.h>

#define TRUE 1				//true
#define FALSE 0				//false
#define OK 1				//success
#define ERROR 0				//fail

typedef int ElementType;
typedef int Status;

typedef struct DNode {
	ElementType element;
	struct DNode *prior;
	struct DNode *next;
}DNode, *DoubleLinkedList;

DoubleLinkedList doubleLinkedList = {0};

Status createHead(DoubleLinkedList *doubleLinkedList, int n);
Status createTail(DoubleLinkedList *doubleLinkedList, int n);

Status createHead(DoubleLinkedList *doubleLinkedList, int n)
{
	int i = 0;
	DoubleLinkedList point = NULL;
	*doubleLinkedList = (DoubleLinkedList)malloc(sizeof(DNode));
	(*doubleLinkedList)->next = *doubleLinkedList;
	(*doubleLinkedList)->prior = *doubleLinkedList;

	for (i = 0; i < n; i++)
	{
		point = (DoubleLinkedList)malloc(sizeof(DNode));
		point->element = i;
		point->next = (*doubleLinkedList)->next;
		(*doubleLinkedList)->next->prior = point;
		(*doubleLinkedList)->next = point;
		point->prior = (*doubleLinkedList);
	}

	return OK;
}

Status createTail(DoubleLinkedList *doubleLinkedList, int n)
{
	int i = 0;
	DoubleLinkedList point = NULL;
	DoubleLinkedList temp = NULL;
	*doubleLinkedList = (DoubleLinkedList)malloc(sizeof(DNode));
	(*doubleLinkedList)->next = NULL;

	temp = *doubleLinkedList;

	for (i = 0; i < n; i++)
	{
		point = (DoubleLinkedList)malloc(sizeof(DNode));
		point->element = i;
		temp->next = point;
		point->prior = temp;
		temp = point;
	}

	return OK;
}

int main()
{
	int i = 0;
	DoubleLinkedList temp = NULL;

	createTail(&doubleLinkedList, 10);
	temp = doubleLinkedList->next->next->next->next->next->next->next->next->next->next;
//	temp = doubleLinkedList->next;

	for (i = 0; i < 10; i++)
	{
		printf("%d, ", temp->element);
		temp = temp->prior;
	}

	return 0;
}