標籤:
線性表定義:
1、0個或多個元素的集合
2、元素之間是有序的
3、元素個數有限
4、元素資料的類型必須相同
線性表是相同類型的n個資料元素的有限序列。
逐項訪問,順序儲存
前驅 後繼
線性表的順序儲存結構:
SeqList.h
#ifndef _SEQLIST_H_#define _SEQLIST_H_typedef void SeqList;typedef void SeqListNode;/* 該方法用於建立並且返回一個空的線性表*/SeqList* SeqList_Create(int capacity);/* 該方法用於銷毀一個線性表list*/void SeqList_Destroy(SeqList* list);/* 該方法用於將一個線性表list中的所有元素清空 使得線性表回到建立時的初始狀態*/void SeqList_Clear(SeqList* list);/* 該方法用於返回一個線性表list中的所有元素個數*/int SeqList_Length(SeqList* list);int SeqList_Capacity(SeqList* list);/* 該方法用於向一個線性表list的pos位置處插入新元素node 傳回值為1表示插入成功,0表示插入失敗*/int SeqList_Insert(SeqList* list, SeqListNode* node, int pos);/* 該方法用於擷取一個線性表list的pos位置處的元素 傳回值為pos位置處的元素,NULL表示擷取失敗*/SeqListNode* SeqList_Get(SeqList* list, int pos);/* 該方法用於刪除一個線性表list的pos位置處的元素 傳回值為被刪除的元素,NULL表示刪除失敗*/SeqListNode* SeqList_Delete(SeqList* list, int pos);#endif
SeqList.c
#include <stdio.h>#include <malloc.h>#include "SeqList.h"typedef unsigned int TSeqListNode;typedef struct _tag_SeqList{ int capacity; int length; TSeqListNode* node;} TSeqList;SeqList* SeqList_Create(int capacity) // O(1){ TSeqList* ret = NULL; if( capacity >= 0 ) { ret = (TSeqList*)malloc(sizeof(TSeqList) + sizeof(TSeqListNode) * capacity); } if( ret != NULL ) { ret->capacity = capacity; ret->length = 0; ret->node = (TSeqListNode*)(ret + 1); } return ret;}void SeqList_Destroy(SeqList* list) // O(1){ free(list);}void SeqList_Clear(SeqList* list) // O(1){ TSeqList* sList = (TSeqList*)list; if( sList != NULL ) { sList->length = 0; }}int SeqList_Length(SeqList* list) // O(1){ TSeqList* sList = (TSeqList*)list; int ret = -1; if( sList != NULL ) { ret = sList->length; } return ret;}int SeqList_Capacity(SeqList* list) // O(1){ TSeqList* sList = (TSeqList*)list; int ret = -1; if( sList != NULL ) { ret = sList->capacity; } return ret;}int SeqList_Insert(SeqList* list, SeqListNode* node, int pos) // O(n) { TSeqList* sList = (TSeqList*)list; int ret = (sList != NULL); int i = 0; ret = ret && (sList->length + 1 <= sList->capacity); ret = ret && (0 <= pos); if( ret ) { if( pos >= sList->length ) { pos = sList->length; } for(i=sList->length; i>pos; i--) { sList->node[i] = sList->node[i-1]; } sList->node[i] = (TSeqListNode)node; sList->length++; } return ret;}SeqListNode* SeqList_Get(SeqList* list, int pos) // O(1) { TSeqList* sList = (TSeqList*)list; SeqListNode* ret = NULL; if( (sList != NULL) && (0 <= pos) && (pos < sList->length) ) { ret = (SeqListNode*)(sList->node[pos]); } return ret;}SeqListNode* SeqList_Delete(SeqList* list, int pos) // O(n){ TSeqList* sList = (TSeqList*)list; SeqListNode* ret = SeqList_Get(list, pos); int i = 0; if( ret != NULL ) { for(i=pos+1; i<sList->length; i++) { sList->node[i-1] = sList->node[i]; } sList->length--; } return ret;}
main.c
#include <stdio.h>#include <stdlib.h>#include "SeqList.h"/* run this program using the console pauser or add your own getch, system("pause") or input loop */int main(int argc, char *argv[]) { SeqList* list = SeqList_Create(5); int i = 0; int j = 1; int k = 2; int x = 3; int y = 4; int z = 5; int index = 0; SeqList_Insert(list, &i, 0); SeqList_Insert(list, &j, 0); SeqList_Insert(list, &k, 0); SeqList_Insert(list, &x, 0); SeqList_Insert(list, &y, 0); SeqList_Insert(list, &z, 0); for(index=0; index<SeqList_Length(list); index++) { int* p = (int*)SeqList_Get(list, index); printf("%d\n", *p); } printf("\n"); while( SeqList_Length(list) > 0 ) { int* p = (int*)SeqList_Delete(list, 0); printf("%d\n", *p); } SeqList_Destroy(list); return 0;}
優點:
無需為線性表中的邏輯關係增加額外的空間
可以快速擷取表中合法位置的元素
缺點:
插入和刪除需要移動大量的元素。
當線性表長度變化較大時難以確定儲存空間的容量。
資料結構-線性表