《数据结构上机实验（C语言实现）》笔记（2 / 1）
文章目录
验证性实验
实现顺序表各种基本运算的算法
放码
sqlist.h
sqlist.cpp
exp2-1.cpp
结果
实现单链表各种基本运算的算法
放码
linklist.h
linklist.cpp
exp2-2.cpp
结果
实现双链表各种基本运算的算法
放码
dlinklist.h
dlinklist.cpp
exp2-3.cpp
结果
实现循环单链表各种基本运算的算法
放码
clinklist.h
clinklist.cpp
exp2-4.cpp
结果
实现循环双链表各种基本运算的算法
放码
cdlinklist.h
cdlinklist.cpp
exp2-5.cpp
结果
设计性实验
将单链表按基准划分
说明
放码
结果
将两个单链表合并为一个单链表
说明
放码
结果
求集合（用单链表表示）的并、交和差运算
说明
放码
结果
实现两个多项式相加运算
说明
放码
结果
综合性实验
实现两个多项式相乘运算
说明
放码
结果
职工信息的综合运算
说明
放码
结果
用单链表实现两个大整数相加运算
说明
放码
结果
验证性实验
实现顺序表各种基本运算的算法
放码
sqlist.h
#ifndef SQLIST_H
#define SQLIST_H
#define MaxSize 50
typedef char ElemType;
typedef struct
{
ElemType data[MaxSize]; //存放顺序表元素
int length; //存放顺序表的长度
} SqList; //声明顺序表的类型
void CreateList(SqList *&L, ElemType a[], int n); //整体建立顺序表
void InitList(SqList *&L); //初始化线性表
void DestroyList(SqList *&L); //销毁线性表
bool ListEmpty(SqList *L); //判线性表是否为空表
int ListLength(SqList *L); //求线性表的长度
void DispList(SqList *L); //输出线性表
bool GetElem(SqList *L, int i, ElemType &e); //求线性表中第i个元素值
int LocateElem(SqList *L, ElemType e); //查找第一个值域为e的元素序号
bool ListInsert(SqList *&L, int i, ElemType e); //插入第i个元素
bool ListDelete(SqList *&L, int i, ElemType &e); //删除第i个元素
#endif
sqlist.cpp
//顺序表运算算法
#include <stdio.h>
#include <malloc.h>
#include "sqlist.h"
void CreateList(SqList * & L, ElemType a[], int n) //整体建立顺序表
{
L = (SqList *)malloc(sizeof(SqList));
for (int i = 0; i < n; i++)
L->data[i] = a[i];
L->length = n;
}
void InitList(SqList * & L) //初始化线性表
{
L = (SqList *)malloc(sizeof(SqList)); //分配存放线性表的空间
L->length = 0;
}
void DestroyList(SqList * & L) //销毁线性表
{
free(L);
}
bool ListEmpty(SqList * L) //判线性表是否为空表
{
return (L->length == 0);
}
int ListLength(SqList * L) //求线性表的长度
{
return (L->length);
}
void DispList(SqList * L) //输出线性表
{
for (int i = 0; i < L->length; i++)
printf("%c ", L->data[i]);
printf("\n");
}
bool GetElem(SqList * L, int i, ElemType & e) //求线性表中第i个元素值
{
if (i < 1 || i > L->length)
return false;
e = L->data[i - 1];
return true;
}
int LocateElem(SqList * L, ElemType e) //查找第一个值域为e的元素序号
{
int i = 0;
while (i < L->length && L->data[i] != e) i++;
if (i >= L->length)
return 0;
else
return i + 1;
}
bool ListInsert(SqList * & L, int i, ElemType e) //插入第i个元素
{
int j;
if (i < 1 || i > L->length + 1)
return false;
i--; //将顺序表位序转化为elem下标
for (j = L->length; j > i; j--) //将data[i]及后面元素后移一个位置
L->data[j] = L->data[j - 1];
L->data[i] = e;
L->length++; //顺序表长度增1
return true;
}
bool ListDelete(SqList * & L, int i, ElemType & e) //删除第i个元素
{
int j;
if (i < 1 || i > L->length)
return false;
i--; //将顺序表位序转化为elem下标
e = L->data[i];
for (j = i; j < L->length - 1; j++) //将data[i]之后的元素前移一个位置
L->data[j] = L->data[j + 1];
L->length--; //顺序表长度减1
return true;
exp2-1.cpp
//文件名:exp2-1.cpp
#include "sqlist.h"
#include <stdio.h>
int main()
{
SqList *L;
ElemType e;
printf("顺序表的基本运算如下:\n");
printf(" (1)初始化顺序表L\n");
InitList(L);
printf(" (2)依次插入a,b,c,d,e元素\n");
ListInsert(L,1,'a');
ListInsert(L,2,'b');
ListInsert(L,3,'c');
ListInsert(L,4,'d');
ListInsert(L,5,'e');
printf(" (3)输出顺序表L:");
DispList(L);
printf(" (4)顺序表L长度:%d\n",ListLength(L));
printf(" (5)顺序表L为%s\n",(ListEmpty(L)?"空":"非空"));
GetElem(L,3,e);
printf(" (6)顺序表L的第3个元素:%c\n",e);
printf(" (7)元素a的位置:%d\n", LocateElem(L,'a'));
printf(" (8)在第4个元素位置上插入f元素\n");
ListInsert(L, 4, 'f');
printf(" (9)输出顺序表L:");
DispList(L);
printf(" (10)删除L的第3个元素\n");
ListDelete(L,3,e);
printf(" (11)输出顺序表L:");
DispList(L);
printf(" (12)释放顺序表L\n");
DestroyList(L);
return 1;
}
结果
顺序表的基本运算如下:
(1)初始化顺序表L
(2)依次插入a,b,c,d,e元素
(3)输出顺序表L:a b c d e
(4)顺序表L长度:5
(5)顺序表L为非空
(6)顺序表L的第3个元素:c
(7)元素a的位置:1
(8)在第4个元素位置上插入f元素
(9)输出顺序表L:a b c f d e
(10)删除L的第3个元素
(11)输出顺序表L:a b f d e
(12)释放顺序表L
请按任意键继续. . .
实现单链表各种基本运算的算法
放码
linklist.h
#ifndef LINKLIST_H
#define LINKLIST_H
typedef int ElemType;
typedef struct LNode {
ElemType data;
struct LNode *next; //指向后继结点
}LinkNode; //声明双链表结点类型
void CreateListF(LinkNode *&L, ElemType a[], int n); //头插法建双链表
void CreateListR(LinkNode *&L, ElemType a[], int n); //尾插法建双链表
void InitList(LinkNode *&L); //初始化线性表
void DestroyList(LinkNode *&L); //销毁线性表
bool ListEmpty(LinkNode *L); //判线性表是否为空表
int ListLength(LinkNode *L); //求线性表的长度
void DispList(LinkNode *L); //输出线性表
bool GetElem(LinkNode *L, int i, ElemType &e); //求线性表中第i个元素值
int LocateElem(LinkNode *L, ElemType e); //查找第一个值域为e的元素序号
bool ListInsert(LinkNode *&L, int i, ElemType e); //插入第i个元素
bool ListDelete(LinkNode *&L, int i, ElemType &e); //删除第i个元素
#endif
linklist.cpp
//单链表运算算法
#include <stdio.h>
#include <malloc.h>
#include "linklist.h"
void CreateListF(LinkNode *&L, ElemType a[], int n) //头插法建立单链表
{
LinkNode *s;
L = (LinkNode *)malloc(sizeof(LinkNode)); //创建头结点
L->next = NULL;
for (int i = 0; i < n; i++) {
s = (LinkNode *)malloc(sizeof(LinkNode)); //创建新结点s
s->data = a[i];
s->next = L->next; //将结点s插在原开始结点之前,头结点之后
L->next = s;
}
}
void CreateListR(LinkNode *&L, ElemType a[], int n) //尾插法建立单链表
{
LinkNode *s, *r;
L = (LinkNode *)malloc(sizeof(LinkNode)); //创建头结点
L->next = NULL;
r = L; //r始终指向尾结点,开始时指向头结点
for (int i = 0; i < n; i++) {
s = (LinkNode *)malloc(sizeof(LinkNode)); //创建新结点s
s->data = a[i];
r->next = s; //将结点s插入r结点之后
r = s;
}
r->next = NULL; //尾结点next域置为NULL
}
void InitList(LinkNode *&L) //初始化线性表
{
L = (LinkNode *)malloc(sizeof(LinkNode)); //创建头结点
L->next = NULL; //单链表置为空表
}
void DestroyList(LinkNode *&L) //销毁线性表
{
LinkNode *pre = L, *p = pre->next;
while (p != NULL) {
free(pre);
pre = p; //pre、p同步后移一个结点
p = pre->next;
}
free(pre); //此时p为NULL,pre指向尾结点,释放它
}
bool ListEmpty(LinkNode *L) //判线性表是否为空表
{
return (L->next == NULL);
}
int ListLength(LinkNode *L) //求线性表的长度
{
int i = 0;
LinkNode *p = L; //p指向头结点,n置为0(即头结点的序号为0)
while (p->next != NULL) {
i++;
p = p->next;
}
return (i); //循环结束,p指向尾结点,其序号i为结点个数
}
void DispList(LinkNode *L) //输出线性表
{
LinkNode *p = L->next; //p指向首结点
while (p != NULL) //p不为NULL,输出p结点的data域
{
printf("%c ", p->data);
p = p->next; //p移向下一个结点
}
printf("\n");
}
bool GetElem(LinkNode *L, int i, ElemType &e) //求线性表中第i个元素值
{
int j = 0;
if (i <= 0) return false; //i错误返回假
LinkNode *p = L; //p指向头结点,j置为0(即头结点的序号为0)
while (j < i && p != NULL) //找第i个结点p
{
j++;
p = p->next;
}
if (p == NULL) //不存在第i个数据结点,返回false
return false;
else //存在第i个数据结点,返回true
{
e = p->data;
return true;
}
}
int LocateElem(LinkNode *L, ElemType e) //查找第一个值域为e的元素序号
{
int i = 1;
LinkNode *p = L->next; //p指向首结点,i置为1(即首结点的序号为1)
while (p != NULL && p->data != e) //查找data值为e的结点,其序号为i
{
p = p->next;
i++;
}
if (p == NULL) //不存在值为e的结点,返回0
return (0);
else //存在值为e的结点,返回其逻辑序号i
return (i);
}
bool ListInsert(LinkNode *&L, int i, ElemType e) //插入第i个元素
{
int j = 0;
if (i <= 0) return false; //i错误返回假
LinkNode *p = L, *s; //p指向头结点,j置为0(即头结点的序号为0)
while (j < i - 1 && p != NULL) //查找第i-1个结点p
{
j++;
p = p->next;
}
if (p == NULL) //未找到第i-1个结点,返回false
return false;
else //找到第i-1个结点p,插入新结点并返回true
{
s = (LinkNode *)malloc(sizeof(LinkNode));
s->data = e; //创建新结点s,其data域置为e
s->next = p->next; //将结点s插入到结点p之后
p->next = s;
return true;
}
}
bool ListDelete(LinkNode *&L, int i, ElemType &e) //删除第i个元素
{
int j = 0;
if (i <= 0) return false; //i错误返回假
LinkNode *p = L, *q; //p指向头结点,j置为0(即头结点的序号为0)
while (j < i - 1 && p != NULL) //查找第i-1个结点
{
j++;
p = p->next;
}
if (p == NULL) //未找到第i-1个结点,返回false
return false;
else //找到第i-1个结点p
{
q = p->next; //q指向第i个结点
if (q == NULL) //若不存在第i个结点,返回false
return false;
e = q->data;
p->next = q->next; //从单链表中删除q结点
free(q); //释放q结点
return true; //返回true表示成功删除第i个结点
}
exp2-2.cpp
//文件名:exp2-2.cpp
#include <stdio.h>
#include "linklist.h"
int main() {
LinkNode * h;
ElemType e;
printf("单链表的基本运算如下:\n");
printf(" (1)初始化单链表h\n");
InitList(h);
printf(" (2)依次采用尾插法插入a,b,c,d,e元素\n");
ListInsert(h, 1, 'a');
ListInsert(h, 2, 'b');
ListInsert(h, 3, 'c');
ListInsert(h, 4, 'd');
ListInsert(h, 5, 'e');
printf(" (3)输出单链表h:");
DispList(h);
printf(" (4)单链表h长度:%d\n", ListLength(h));
printf(" (5)单链表h为%s\n", (ListEmpty(h) ? "空" : "非空"));
GetElem(h, 3, e);
printf(" (6)单链表h的第3个元素:%c\n", e);
printf(" (7)元素a的位置:%d\n", LocateElem(h, 'a'));
printf(" (8)在第4个元素位置上插入f元素\n");
ListInsert(h, 4, 'f');
printf(" (9)输出单链表h:");
DispList(h);
printf(" (10)删除h的第3个元素\n");
ListDelete(h, 3, e);
printf(" (11)输出单链表h:");
DispList(h);
printf(" (12)释放单链表h\n");
DestroyList(h);
结果
单链表的基本运算如下:
(1)初始化单链表h
(2)依次采用尾插法插入a,b,c,d,e元素
(3)输出单链表h:a b c d e
(4)单链表h长度:5
(5)单链表h为非空
(6)单链表h的第3个元素:c
(7)元素a的位置:1
(8)在第4个元素位置上插入f元素
(9)输出单链表h:a b c f d e
(10)删除h的第3个元素
(11)输出单链表h:a b f d e
(12)释放单链表h
请按任意键继续. . .
实现双链表各种基本运算的算法
放码
dlinklist.h
#ifndef DLINKLIST_H
#define DLINKLIST_H
typedef int ElemType;
typedef struct DNode {
ElemType data;
struct DNode *prior; //指向前驱结点
struct DNode *next; //指向后继结点
}DLinkNode; //声明双链表结点类型
void CreateListF(DLinkNode *&L, ElemType a[], int n); //头插法建双链表
void CreateListR(DLinkNode *&L, ElemType a[], int n); //尾插法建双链表
void InitList(DLinkNode *&L); //初始化线性表
void DestroyList(DLinkNode *&L); //销毁线性表
bool ListEmpty(DLinkNode *L); //判线性表是否为空表
int ListLength(DLinkNode *L); //求线性表的长度
void DispList(DLinkNode *L); //输出线性表
bool GetElem(DLinkNode *L, int i, ElemType &e); //求线性表中第i个元素值
int LocateElem(DLinkNode *L, ElemType e); //查找第一个值域为e的元素序号
bool ListInsert(DLinkNode *&L, int i, ElemType e); //插入第i个元素
bool ListDelete(DLinkNode *&L, int i, ElemType &e); //删除第i个元素
#endif
dlinklist.cpp
//双链表运算算法
#include <stdio.h>
#include <malloc.h>
#include "dlinklist.h"
void CreateListF(DLinkNode *&L, ElemType a[], int n) //头插法建双链表
{
DLinkNode *s;
L = (DLinkNode *)malloc(sizeof(DLinkNode)); //创建头结点
L->prior = L->next = NULL;
for (int i = 0; i < n; i++) {
s = (DLinkNode *)malloc(sizeof(DLinkNode)); //创建新结点
s->data = a[i];
s->next = L->next; //将结点s插在原开始结点之前,头结点之后
if (L->next != NULL) L->next->prior = s;
L->next = s;
s->prior = L;
}
}
void CreateListR(DLinkNode *&L, ElemType a[], int n) //尾插法建双链表
{
DLinkNode *s, *r;
L = (DLinkNode *)malloc(sizeof(DLinkNode)); //创建头结点
L->prior = L->next = NULL;
r = L; //r始终指向终端结点,开始时指向头结点
for (int i = 0; i < n; i++) {
s = (DLinkNode *)malloc(sizeof(DLinkNode)); //创建新结点
s->data = a[i];
r->next = s;
s->prior = r; //将结点s插入结点r之后
r = s;
}
r->next = NULL; //尾结点next域置为NULL
}
void InitList(DLinkNode *&L) //初始化线性表
{
L = (DLinkNode *)malloc(sizeof(DLinkNode)); //创建头结点
L->prior = L->next = NULL;
}
void DestroyList(DLinkNode *&L) //销毁线性表
{
DLinkNode *pre = L, *p = pre->next;
while (p != NULL) {
free(pre);
pre = p; //pre、p同步后移一个结点
p = pre->next;
}
free(p);
}
bool ListEmpty(DLinkNode *L) //判线性表是否为空表
{
return (L->next == NULL);
}
int ListLength(DLinkNode *L) //求线性表的长度
{
DLinkNode *p = L;
int i = 0; //p指向头结点,i设置为0
while (p->next != NULL) //找尾结点p
{
i++; //i对应结点p的序号
p = p->next;
}
return (i);
}
void DispList(DLinkNode *L) //输出线性表
{
DLinkNode *p = L->next;
while (p != NULL) {
printf("%c ", p->data);
p = p->next;
}
printf("\n");
}
bool GetElem(DLinkNode *L, int i, ElemType &e) //求线性表中第i个元素值
{
int j = 0;
DLinkNode *p = L;
if (i <= 0) return false; //i错误返回假
while (j < i && p != NULL) //查找第i个结点p
{
j++;
p = p->next;
}
if (p == NULL) //没有找到返回假
return false;
else //找到了提取值并返回真
{
e = p->data;
return true;
}
}
int LocateElem(DLinkNode *L, ElemType e) //查找第一个值域为e的元素序号
{
int i = 1;
DLinkNode *p = L->next;
while (p != NULL && p->data != e) //查找第一个值域为e的结点p
{
i++; //i对应结点p的序号
p = p->next;
}
if (p == NULL) //没有找到返回0
return (0);
else //找到了返回其序号
return (i);
}
bool ListInsert(DLinkNode *&L, int i, ElemType e) //插入第i个元素
{
int j = 0;
DLinkNode *p = L, *s; //p指向头结点,j设置为0
if (i <= 0) return false; //i错误返回假
while (j < i - 1 && p != NULL) //查找第i-1个结点p
{
j++;
p = p->next;
}
if (p == NULL) //未找到第i-1个结点
return false;
else //找到第i-1个结点p
{
s = (DLinkNode *)malloc(sizeof(DLinkNode)); //创建新结点s
s->data = e;
s->next = p->next; //将结点s插入到结点p之后
if (p->next != NULL)
p->next->prior = s;
s->prior = p;
p->next = s;
return true;
}
}
bool ListDelete(DLinkNode *&L, int i, ElemType &e) //删除第i个元素
{
int j = 0;
DLinkNode *p = L, *q; //p指向头结点,j设置为0
if (i <= 0) return false; //i错误返回假
while (j < i - 1 && p != NULL) //查找第i-1个结点p
{
j++;
p = p->next;
}
if (p == NULL) //未找到第i-1个结点
return false;
else //找到第i-1个节p
{
q = p->next; //q指向第i个结点
if (q == NULL) //当不存在第i个结点时返回false
return false;
e = q->data;
p->next = q->next; //从双链表中删除结点q
if (p->next != NULL) //若p结点存在后继结点,修改其前驱指针
p->next->prior = p;
free(q); //释放q结点
return true;
exp2-3.cpp
//文件名:exp2-3.cpp
#include "dlinklist.h"
#include <stdio.h>
int main() {
DLinkNode *h;
ElemType e;
printf("双链表的基本运算如下:\n");
printf(" (1)初始化双链表h\n");
InitList(h);
printf(" (2)依次采用尾插法插入a,b,c,d,e元素\n");
ListInsert(h, 1, 'a');
ListInsert(h, 2, 'b');
ListInsert(h, 3, 'c');
ListInsert(h, 4, 'd');
ListInsert(h, 5, 'e');
printf(" (3)输出双链表h:");
DispList(h);
printf(" (4)双链表h长度:%d\n", ListLength(h));
printf(" (5)双链表h为%s\n", (ListEmpty(h) ? "空" : "非空"));
GetElem(h, 3, e);
printf(" (6)双链表h的第3个元素:%c\n", e);
printf(" (7)元素a的位置:%d\n", LocateElem(h, 'a'));
printf(" (8)在第4个元素位置上插入f元素\n");
ListInsert(h, 4, 'f');
printf(" (9)输出双链表h:");
DispList(h);
printf(" (10)删除h的第3个元素\n");
ListDelete(h, 3, e);
printf(" (11)输出双链表h:");
DispList(h);
printf(" (12)释放双链表h\n");
DestroyList(h);
return 1;
结果
双链表的基本运算如下:
(1)初始化双链表h
(2)依次采用尾插法插入a,b,c,d,e元素
(3)输出双链表h:a b c d e
(4)双链表h长度:5
(5)双链表h为非空
(6)双链表h的第3个元素:c
(7)元素a的位置:1
(8)在第4个元素位置上插入f元素
(9)输出双链表h:a b c f d e
(10)删除h的第3个元素
(11)输出双链表h:a b f d e
(12)释放双链表h
请按任意键继续. . .
实现循环单链表各种基本运算的算法
放码
clinklist.h
#ifndef CLINKLIST_H
#define CLINKLIST_H
typedef int ElemType;
typedef struct LNode //定义单链表结点类型
{
ElemType data;
struct LNode *next;
} LinkNode;
void CreateListF(LinkNode *&L, ElemType a[], int n); //头插法建立循环单链表
void CreateListR(LinkNode *&L, ElemType a[], int n); //尾插法建立循环单链表
void InitList(LinkNode *&L); //初始化线性表
void DestroyList(LinkNode *&L); //销毁线性表
bool ListEmpty(LinkNode *L); //判线性表是否为空表
int ListLength(LinkNode *L); //求线性表的长度
void DispList(LinkNode *L); //输出线性表
bool GetElem(LinkNode *L, int i, ElemType &e); //求线性表中第i个元素值
int LocateElem(LinkNode *L, ElemType e); //查找第一个值域为e的元素序号
bool ListInsert(LinkNode *&L, int i, ElemType e); //插入第i个元素
bool ListDelete(LinkNode *&L, int i, ElemType &e); //删除第i个元素
#endif // !CLINKLIST_H
linklist.cpp
//循环单链表运算算法
#include <stdio.h>
#include <malloc.h>
#include "clinklist.h"
void CreateListF(LinkNode *&L, ElemType a[], int n) //头插法建立循环单链表
{
LinkNode *s; int i;
L = (LinkNode *)malloc(sizeof(LinkNode)); //创建头结点
L->next = NULL;
for (i = 0; i < n; i++)
{
s = (LinkNode *)malloc(sizeof(LinkNode));//创建新结点
s->data = a[i];
s->next = L->next; //将结点s插在原开始结点之前,头结点之后
L->next = s;
}
s = L->next;
while (s->next != NULL) //查找尾结点,由s指向它
s = s->next;
s->next = L; //尾结点next域指向头结点
}
void CreateListR(LinkNode *&L, ElemType a[], int n) //尾插法建立循环单链表
{
LinkNode *s, *r; int i;
L = (LinkNode *)malloc(sizeof(LinkNode)); //创建头结点
L->next = NULL;
r = L; //r始终指向终端结点,开始时指向头结点
for (i = 0; i < n; i++)
{
s = (LinkNode *)malloc(sizeof(LinkNode));//创建新结点
s->data = a[i];
r->next = s; //将结点s插入结点r之后
r = s;
}
r->next = L; //尾结点next域指向头结点
}
void InitList(LinkNode *&L) //初始化线性表
{
L = (LinkNode *)malloc(sizeof(LinkNode)); //创建头结点
L->next = L;
}
void DestroyList(LinkNode *&L) //销毁线性表
{
LinkNode *pre = L, *p = pre->next;
while (p != L)
{
free(pre);
pre = p; //pre、p同步后移一个结点
p = pre->next;
}
free(pre); //此时p=L,pre指向尾结点,释放它
}
bool ListEmpty(LinkNode *L) //判线性表是否为空表
{
return(L->next == L);
}
int ListLength(LinkNode *L) //求线性表的长度
{
LinkNode *p = L; int i = 0; //p指向头结点,n置为0(即头结点的序号为0)
while (p->next != L)
{
i++;
p = p->next;
}
return(i); //循环结束,p指向尾结点,其序号n为结点个数
}
void DispList(LinkNode *L) //输出线性表
{
LinkNode *p = L->next;
while (p != L) //p不为L,输出p结点的data域
{
printf("%c ", p->data);
p = p->next;
}
printf("\n");
}
bool GetElem(LinkNode *L, int i, ElemType &e) //求线性表中第i个元素值
{
int j = 1;
LinkNode *p = L->next;
if (i <= 0 || L->next == L) //i错误或者空表返回假
return false;
if (i == 1) //求第1个结点值，作为特殊情况处理
{
e = L->next->data;
return true;
}
else //i不为1时
{
while (j <= i - 1 && p != L) //找第i个结点p
{
j++;
p = p->next;
}
if (p == L) //没有找到返回假
return false;
else //找到了提取它的值并返回整
{
e = p->data;
return true;
}
}
}
int LocateElem(LinkNode *L, ElemType e) //查找第一个值域为e的元素序号
{
LinkNode *p = L->next;
int i = 1;
while (p != L && p->data != e) //查找第一个值域为e的结点p
{
p = p->next;
i++; //i对应结点p的序号
}
if (p == L)
return(0); //没有找到返回0
else
return(i); //找到了返回其序号
}
bool ListInsert(LinkNode *&L, int i, ElemType e) //插入第i个元素
{
int j = 1;
LinkNode *p = L, *s;
if (i <= 0) return false; //i错误返回假
if (p->next == L || i == 1) //原单链表为空表或i=1作为特殊情况处理
{
s = (LinkNode *)malloc(sizeof(LinkNode)); //创建新结点s
s->data = e;
s->next = p->next; //将结点s插入到结点p之后
p->next = s;
return true;
}
else
{
p = L->next;
while (j <= i - 2 && p != L) //找第i-1个结点p
{
j++;
p = p->next;
}
if (p == L) //未找到第i-1个结点
return false;
else //找到第i-1个结点p
{
s = (LinkNode *)malloc(sizeof(LinkNode)); //创建新结点s
s->data = e;
s->next = p->next; //将结点s插入到结点p之后
p->next = s;
return true;
}
}
}
bool ListDelete(LinkNode *&L, int i, ElemType &e) //删除第i个元素
{
int j = 1;
LinkNode *p = L, *q;
if (i <= 0 || L->next == L)
return false; //i错误或者空表返回假
if (i == 1) //i=1作为特殊情况处理
{
q = L->next; //删除第1个结点
e = q->data;
L->next = q->next;
free(q);
return true;
}
else //i不为1时
{
p = L->next;
while (j <= i - 2 && p != L) //找第i-1个结点p
{
j++;
p = p->next;
}
if (p == L) //未找到第i-1个结点
return false;
else //找到第i-1个结点p
{
q = p->next; //q指向要删除的结点
e = q->data;
p->next = q->next; //从单链表中删除q结点
free(q); //释放q结点
return true;
}
—
exp2-4.cpp
//文件名:exp2-4.cpp
#include "clinklist.h"
#include <stdio.h>
int main()
{
LinkNode *h;
ElemType e;
printf("循环单链表的基本运算如下:\n");
printf(" (1)初始化循环单链表h\n");
InitList(h);
printf(" (2)依次采用尾插法插入a,b,c,d,e元素\n");
ListInsert(h, 1, 'a');
ListInsert(h, 2, 'b');
ListInsert(h, 3, 'c');
ListInsert(h, 4, 'd');
ListInsert(h, 5, 'e');
printf(" (3)输出循环单链表h:");
DispList(h);
printf(" (4)循环单链表h长度:%d\n", ListLength(h));
printf(" (5)循环单链表h为%s\n", (ListEmpty(h) ? "空" : "非空"));
GetElem(h, 3, e);
printf(" (6)循环单链表h的第3个元素:%c\n", e);
printf(" (7)元素a的位置:%d\n", LocateElem(h, 'a'));
printf(" (8)在第4个元素位置上插入f元素\n");
ListInsert(h, 4, 'f');
printf(" (9)输出循环单链表h:");
DispList(h);
printf(" (10)删除h的第3个元素\n");
ListDelete(h, 3, e);
printf(" (11)输出循环单链表h:");
DispList(h);
printf(" (12)释放循环单链表h\n");
DestroyList(h);
return 1;
}
—
结果
循环单链表的基本运算如下:
(1)初始化循环单链表h
(2)依次采用尾插法插入a,b,c,d,e元素
(3)输出循环单链表h:a b c d e
(4)循环单链表h长度:5
(5)循环单链表h为非空
(6)循环单链表h的第3个元素:c
(7)元素a的位置:1
(8)在第4个元素位置上插入f元素
(9)输出循环单链表h:a b c f d e
(10)删除h的第3个元素
(11)输出循环单链表h:a b f d e
(12)释放循环单链表h
请按任意键继续. . .
实现循环双链表各种基本运算的算法
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cdlinklist.h
#ifndef CDLINKLIST_H
#define CDLINKLIST_H
typedef int ElemType;
typedef struct DNode //定义双链表结点类型
{
ElemType data;
struct DNode *prior; //指向前驱结点
struct DNode *next; //指向后继结点
} DLinkNode;
void CreateListF(DLinkNode *&L, ElemType a[], int n); //头插法建立循环双链表
void CreateListR(DLinkNode *&L, ElemType a[], int n); //尾插法建立循环双链表
void InitList(DLinkNode *&L); //初始化线性表
void DestroyList(DLinkNode *&L); //销毁线性表
bool ListEmpty(DLinkNode *L); //判线性表是否为空表
int ListLength(DLinkNode *L); //求线性表的长度
void DispList(DLinkNode *L); //输出线性表
bool GetElem(DLinkNode *L, int i, ElemType &e); //求线性表中第i个元素值
int LocateElem(DLinkNode *L, ElemType e); //查找第一个值域为e的元素序号
bool ListInsert(DLinkNode *&L, int i, ElemType e); //插入第i个元素
bool ListDelete(DLinkNode *&L, int i, ElemType &e); //删除第i个元素
#endif // !CDLINKLIST_H
cdlinklist.cpp
//循环双链表运算算法
#include <stdio.h>
#include <malloc.h>
#include "cdlinklist.h"
void CreateListF(DLinkNode *&L, ElemType a[], int n) //头插法建立循环双链表
{
DLinkNode *s;
L = (DLinkNode *)malloc(sizeof(DLinkNode)); //创建头结点
L->next = NULL;
for (int i = 0; i < n; i++)
{
s = (DLinkNode *)malloc(sizeof(DLinkNode));//创建新结点
s->data = a[i];
s->next = L->next; //将结点s插在原开始结点之前,头结点之后
if (L->next != NULL) L->next->prior = s;
L->next = s; s->prior = L;
}
s = L->next;
while (s->next != NULL) //查找尾结点,由s指向它
s = s->next;
s->next = L; //尾结点next域指向头结点
L->prior = s; //头结点的prior域指向尾结点
}
void CreateListR(DLinkNode *&L, ElemType a[], int n) //尾插法建立循环双链表
{
DLinkNode *s, *r;
L = (DLinkNode *)malloc(sizeof(DLinkNode)); //创建头结点
L->next = NULL;
r = L; //r始终指向尾结点,开始时指向头结点
for (int i = 0; i < n; i++)
{
s = (DLinkNode *)malloc(sizeof(DLinkNode));//创建新结点
s->data = a[i];
r->next = s; s->prior = r; //将结点s插入结点r之后
r = s;
}
r->next = L; //尾结点next域指向头结点
L->prior = r; //头结点的prior域指向尾结点
}
void InitList(DLinkNode *&L) //初始化线性表
{
L = (DLinkNode *)malloc(sizeof(DLinkNode)); //创建头结点
L->prior = L->next = L;
}
void DestroyList(DLinkNode *&L) //销毁线性表
{
DLinkNode *pre = L, *p = pre->next;
while (p != L)
{
free(pre);
pre = p; //pre、p同步后移一个结点
p = pre->next;
}
free(pre); //此时p=L,pre指向尾结点,释放它
}
bool ListEmpty(DLinkNode *L) //判线性表是否为空表
{
return(L->next == L);
}
int ListLength(DLinkNode *L) //求线性表的长度
{
DLinkNode *p = L;
int i = 0;
while (p->next != L)
{
i++;
p = p->next;
}
return(i); //循环结束,p指向尾结点,其序号i为结点个数
}
void DispList(DLinkNode *L) //输出线性表
{
DLinkNode *p = L->next;
while (p != L)
{
printf("%c ", p->data);
p = p->next;
}
printf("\n");
}
bool GetElem(DLinkNode *L, int i, ElemType &e) //求线性表中第i个元素值
{
int j = 1;
DLinkNode *p = L->next;
if (i <= 0 || L->next == L)
return false; //i错误或者L为空表返回假
if (i == 1) //i=1作为特殊情况处理
{
e = L->next->data;
return true;
}
else //i不为1时
{
while (j <= i - 1 && p != L) //查找第i个结点p
{
j++;
p = p->next;
}
if (p == L) //没有找到第i个节，返回假
return false;
else //找到了第i个节，返回真
{
e = p->data;
return true;
}
}
}
int LocateElem(DLinkNode *L, ElemType e) //查找第一个值域为e的元素序号
{
int i = 1;
DLinkNode *p = L->next;
while (p != NULL && p->data != e)
{
i++;
p = p->next;
}
if (p == NULL) //不存在值为e的结点,返回0
return(0);
else //存在值为e的结点,返回其逻辑序号i
return(i);
}
bool ListInsert(DLinkNode *&L, int i, ElemType e) //插入第i个元素
{
int j = 1;
DLinkNode *p = L, *s;
if (i <= 0) return false; //i错误返回假
if (p->next == L) //原双链表为空表时
{
s = (DLinkNode *)malloc(sizeof(DLinkNode)); //创建新结点s
s->data = e;
p->next = s; s->next = p;
p->prior = s; s->prior = p;
return true;
}
else if (i == 1) //L不为空，i=1作为特殊情况处理
{
s = (DLinkNode *)malloc(sizeof(DLinkNode)); //创建新结点s
s->data = e;
s->next = p->next; p->next = s; //将结点s插入到结点p之后
s->next->prior = s; s->prior = p;
return true;
}
else //i不为1时
{
p = L->next;
while (j <= i - 2 && p != L) //查找第i-1个结点p
{
j++;
p = p->next;
}
if (p == L) //未找到第i-1个结点
return false;
else //找到第i-1个结点*p
{
s = (DLinkNode *)malloc(sizeof(DLinkNode)); //创建新结点s
s->data = e;
s->next = p->next; //将结点s插入到结点p之后
if (p->next != NULL) p->next->prior = s;
s->prior = p;
p->next = s;
return true;
}
}
}
bool ListDelete(DLinkNode *&L, int i, ElemType &e) //删除第i个元素
{
int j = 1;
DLinkNode *p = L, *q;
if (i <= 0 || L->next == L)
return false; //i错误或者为空表返回假
if (i == 1) //i==1作为特殊情况处理
{
q = L->next; //删除第1个结点
e = q->data;
L->next = q->next;
q->next->prior = L;
free(q);
return true;
}
else //i不为1时
{
p = L->next;
while (j <= i - 2 && p != NULL) //查找到第i-1个结点p
{
j++;
p = p->next;
}
if (p == NULL) //未找到第i-1个结点
return false;
else //找到第i-1个结点p
{
q = p->next; //q指向要删除的结点
if (q == NULL) return 0; //不存在第i个结点
e = q->data;
p->next = q->next; //从单链表中删除q结点
if (p->next != NULL) p->next->prior = p;
free(q); //释放q结点
return true;
}
}
}
—
xp2-5.cpp
//文件名:exp2-5.cpp
#include "cdlinklist.h"
#include <stdio.h>
int main()
{
DLinkNode *h;
ElemType e;
printf("循环双链表的基本运算如下:\n");
printf(" (1)初始化循环双链表h\n");
InitList(h);
printf(" (2)依次采用尾插法插入a,b,c,d,e元素\n");
ListInsert(h, 1, 'a');
ListInsert(h, 2, 'b');
ListInsert(h, 3, 'c');
ListInsert(h, 4, 'd');
ListInsert(h, 5, 'e');
printf(" (3)输出循环双链表h:");
DispList(h);
printf(" (4)循环双链表h长度:%d\n", ListLength(h));
printf(" (5)循环双链表h为%s\n", (ListEmpty(h) ? "空" : "非空"));
GetElem(h, 3, e);
printf(" (6)循环双链表h的第3个元素:%c\n", e);
printf(" (7)元素a的位置:%d\n", LocateElem(h, 'a'));
printf(" (8)在第4个元素位置上插入f元素\n");
ListInsert(h, 4, 'f');
printf(" (9)输出循环双链表h:");
DispList(h);
printf(" (10)删除h的第3个元素\n");
ListDelete(h, 3, e);
printf(" (11)输出循环双链表h:");
DispList(h);
printf(" (12)释放循环双链表h\n");
DestroyList(h);
return 1;
结果
循环双链表的基本运算如下:
(1)初始化循环双链表h
(2)依次采用尾插法插入a,b,c,d,e元素
(3)输出循环双链表h:a b c d e
(4)循环双链表h长度:5
(5)循环双链表h为非空
(6)循环双链表h的第3个元素:c
(7)元素a的位置:1
(8)在第4个元素位置上插入f元素
(9)输出循环双链表h:a b c f d e
(10)删除h的第3个元素
(11)输出循环双链表h:a b f d e
(12)释放循环双链表h
请按任意键继续. . .
设计性实验
将单链表按基准划分
说明
以给定值x为基准将单链表分割为两部分，所有小于x的结点排在大于或等于x的结点之前。
放码
//文件名:exp2-6.cpp
#include "linklist.h" //包含单链表的基本运算算法
#include <stdio.h>
void Split(LinkNode *&L, ElemType x) //将L中所有数据结点按x进行划分
{
LinkNode *p = L->next, *q, *r;
L->next = NULL; //L变为空链表, 表头无内容
r = L;
while (p != NULL)
{
if (p->data < x) //若p结点值小于x，将其插入在开头
{
q = p->next;
p->next = L->next;
L->next = p;
if (p->next == NULL) //若p结点是第一个在开头插入的结点
r = p; //则它是尾结点
p = q;
}
else //若p结点值大于或等于x，将其插入到末尾
{
r->next = p;
r = p;
p = p->next;
}
}
r->next = NULL;
}
int main()
{
LinkNode *L;
ElemType a[] = { 'a', 'b', 'c', 'd', 'e', 'f', 'g', 'h' };// "abcdefgh";
int n = 8;
CreateListR(L, a, n);
printf("L:"); DispList(L);
ElemType x = 'd';
printf("以%c进行划分\n", x);
Split(L, x);
printf("L:"); DispList(L);
DestroyList(L);
return 1;
}
结果
L:a b c d e f g h
以d进行划分
L:c b a d e f g h
请按任意键继续. . .
1
2
3
4
将两个单链表合并为一个单链表
说明
令 L 1 = ( x 1 , x 2 , … , x n ) L1=(x_1, x_2, \dots, x_n) L1=(x1,x2,…,xn)， L 2 = ( y 1 , y 2 , … , y m ) L2=(y_1, y_2, \dots, y_m) L2=(y1,y2,…,ym)是两个线性表，采用带头结点的单链表存储，设计一个算法合并L1、L2，结果放
在线性表L3中，要求如下：
L 3 = { ( x 1 , y 1 , x 2 , y 2 , … , x m , y m , x m + 1 , … , x n ) 当 m ⩽ n 时 ( x 1 , y 1 , x 2 , y 2 , … , x n , y n , y n + 1 , … , y m ) 当 m > n 时 L3=
{(x1,y1,x2,y2,…,xm,ym,xm+1,…,xn)(x1,y1,x2,y2,…,xn,yn,yn+1,…,ym)当m⩽n时当m>n时
L3={(x1,y1,x2,y2,…,xm,ym,xm+1,…,xn)(x1,y1,x2,y2,…,xn,yn,yn+1,…,ym)当m⩽n时当m>n时
L3仍采用单链表存储，算法的空间复杂度为O(1)。
放码
//文件名:exp2-7.cpp
#include "linklist.h" //包含单链表的基本运算算法
#include <stdio.h>
#include <malloc.h>
void Merge(LinkNode *L1, LinkNode *L2, LinkNode *&L3) //L1和L2合并产生L3
{
LinkNode *p = L1->next, *q = L2->next, *r;
L3 = L1;
r = L3; //r指向新建单链表L3的尾结点
free(L2); //释放L2的头结点
while (p != NULL && q != NULL)
{
r->next = p; r = p; p = p->next;
r->next = q; r = q; q = q->next;
}
r->next = NULL;
if (q != NULL) p = q;
r->next = p;
}
int main()
{
LinkNode *L1, *L2, *L3;
ElemType a[] = { 'a', 'b', 'c', 'd', 'e', 'f', 'g', 'h' };// "abcdefgh";
int n = 8;
CreateListR(L1, a, n);
printf("L1:"); DispList(L1);
ElemType b[] = { '1', '2', '3', '4', '5' };
n = 5;
CreateListR(L2, b, n);
printf("L2:"); DispList(L2);
printf("L1和L2合并产生L3\n");
Merge(L1, L2, L3);
printf("L3:"); DispList(L3);
DestroyList(L3);
return 1;
}
求集合（用单链表表示）的并、交和差运算
说明
采用单链表表示集合（假设同一个集合中不存在重复的元素），将其按递增方式排序，构成有序单链表，并求这样的两个集合的并、交和差。
放码
//文件名:exp2-8.cpp
#include "linklist.h"
#include <stdio.h>
#include <malloc.h>
void sort(LinkNode *&L) //单链表元素递增排序
{
LinkNode *p, *pre, *q;
p = L->next->next; //p指向L的第2个数据结点
L->next->next = NULL; //构造只含一个数据结点的有序表
while (p != NULL)
{
q = p->next; //q保存p结点的后继结点
pre = L; //从有序表开头进行比较,pre指向插入结点p的前驱结点
while (pre->next != NULL && pre->next->data < p->data)
pre = pre->next; //在有序表中找pre结点
p->next = pre->next; //将结点pre之后插入p结点
pre->next = p;
p = q; //扫描原单链表余下的结点
}
}
void Union(LinkNode *ha, LinkNode *hb, LinkNode *&hc) //求两有序集合的并
{
LinkNode *pa = ha->next, *pb = hb->next, *s, *tc;
hc = (LinkNode *)malloc(sizeof(LinkNode)); //创建头结点
tc = hc;
while (pa != NULL && pb != NULL)
{
if (pa->data < pb->data)
{
s = (LinkNode *)malloc(sizeof(LinkNode)); //复制结点
s->data = pa->data;
tc->next = s; tc = s;
pa = pa->next;
}
else if (pa->data > pb->data)
{
s = (LinkNode *)malloc(sizeof(LinkNode)); //复制结点
s->data = pb->data;
tc->next = s; tc = s;
pb = pb->next;
}
else
{
s = (LinkNode *)malloc(sizeof(LinkNode)); //复制结点
s->data = pa->data;
tc->next = s; tc = s;
pa = pa->next; //重复的元素只复制一个
pb = pb->next;
}
}
if (pb != NULL) pa = pb; //复制余下的结点
while (pa != NULL)
{
s = (LinkNode *)malloc(sizeof(LinkNode)); //复制结点
s->data = pa->data;
tc->next = s; tc = s;
pa = pa->next;
}
tc->next = NULL;
}
void InterSect(LinkNode *ha, LinkNode *hb, LinkNode *&hc) //求两有序集合的交
{
LinkNode *pa = ha->next, *pb, *s, *tc;
hc = (LinkNode *)malloc(sizeof(LinkNode));
tc = hc;
while (pa != NULL)
{
pb = hb->next;
while (pb != NULL && pb->data < pa->data)
pb = pb->next;
if (pb != NULL && pb->data == pa->data) //若pa结点值在B中
{
s = (LinkNode *)malloc(sizeof(LinkNode)); //复制结点
s->data = pa->data;
tc->next = s; tc = s;
}
pa = pa->next;
}
tc->next = NULL;
}
void Subs(LinkNode *ha, LinkNode *hb, LinkNode *&hc) //求两有序集合的差
{
LinkNode *pa = ha->next, *pb, *s, *tc;
hc = (LinkNode *)malloc(sizeof(LinkNode));
tc = hc;
while (pa != NULL)
{
pb = hb->next;
while (pb != NULL && pb->data < pa->data)
pb = pb->next;
if (!(pb != NULL && pb->data == pa->data)) //若pa结点值不在B中
{
s = (LinkNode *)malloc(sizeof(LinkNode)); //复制结点
s->data = pa->data;
tc->next = s; tc = s;
}
pa = pa->next;
}
tc->next = NULL;
}
int main()
{
LinkNode *ha, *hb, *hc;
ElemType a[] = { 'c', 'a', 'e', 'h' };
ElemType b[] = { 'f', 'h', 'b', 'g', 'd', 'a' };
printf("集合的运算如下:\n");
CreateListR(ha, a, 4);
CreateListR(hb, b, 6);
printf(" 原 集 合A: "); DispList(ha);
printf(" 原 集 合B: "); DispList(hb);
sort(ha);
sort(hb);
printf(" 有序集合A: "); DispList(ha);
printf(" 有序集合B: "); DispList(hb);
Union(ha, hb, hc);
printf(" 集合的并C: "); DispList(hc);
InterSect(ha, hb, hc);
printf(" 集合的交C: "); DispList(hc);
Subs(ha, hb, hc);
printf(" 集合的差C: "); DispList(hc);
DestroyList(ha);
DestroyList(hb);
DestroyList(hc);
return 1;
}
现两个多项式相加运算
说明
用单链表存储一元多项式，并实现两个多项式相加运算。
放码
//文件名:exp2-9.cpp
#include <stdio.h>
#include <malloc.h>
#define MAX 100 //多项式最多项数
typedef struct
{
double coef; //系数
int exp; //指数
} PolyArray; //存放多项式的数组类型
typedef struct pnode
{
double coef; //系数
int exp; //指数
struct pnode *next;
} PolyNode; //声明多项式单链表结点类型
void DispPoly(PolyNode *L) //输出多项式单链表
{
bool first = true; //first为true表示是第一项
PolyNode *p = L->next;
while (p != NULL)
{
if (first)
first = false;
else if (p->coef > 0)
printf("+");
if (p->exp == 0)
printf("%g", p->coef);
else if (p->exp == 1)
printf("%gx", p->coef);
else
printf("%gx^%d", p->coef, p->exp);
p = p->next;
}
printf("\n");
}
void DestroyPoly(PolyNode *&L) //销毁多项式单链表
{
PolyNode *pre = L, *p = pre->next;
while (p != NULL)
{
free(pre);
pre = p;
p = pre->next;
}
free(pre);
}
void CreatePolyR(PolyNode *&L, PolyArray a[], int n) //尾插法建表
{
PolyNode *s, *r; int i;
L = (PolyNode *)malloc(sizeof(PolyNode)); //创建头结点
L->next = NULL;
r = L; //r始终指向尾结点,开始时指向头结点
for (i = 0; i < n; i++)
{
s = (PolyNode *)malloc(sizeof(PolyNode));//创建新结点
s->coef = a[i].coef;
s->exp = a[i].exp;
r->next = s; //将结点s插入结点r之后
r = s;
}
r->next = NULL; //尾结点next域置为NULL
}
void Sort(PolyNode *&L) //将多项式单链表按指数递减排序
{
PolyNode *p = L->next, *pre, *q;
if (p != NULL) //L有一个或以上的数据结点
{
q = p->next; //q保存p结点的后继结点
p->next = NULL; //构造只含一个数据结点的有序表
p = q;
while (p != NULL) //扫描原L中余下的数据结点
{
q = p->next; //q保存p结点的后继结点
pre = L;
while (pre->next != NULL && pre->next->exp > p->exp)
pre = pre->next; //在有序表中找插入结点p的前驱结点pre
p->next = pre->next; //将结点p插入到结点pre之后
pre->next = p;
p = q; //扫描原单链表余下的结点
}
}
}
void Add(PolyNode *ha, PolyNode *hb, PolyNode *&hc) //ha和bh相加得到hc
{
PolyNode *pa = ha->next, *pb = hb->next, *s, *r;
double c;
hc = (PolyNode *)malloc(sizeof(PolyNode));
r = hc; //r指向尾结点，初始时指向头结点
while (pa != NULL && pb != NULL) //pa、pb均没有扫描完
{
if (pa->exp > pb->exp) //将指数较大的pa结点复制到hc中
{
s = (PolyNode *)malloc(sizeof(PolyNode));
s->exp = pa->exp; s->coef = pa->coef;
r->next = s; r = s;
pa = pa->next;
}
else if (pa->exp < pb->exp) //将指数较大的pb结点复制到hc中
{
s = (PolyNode *)malloc(sizeof(PolyNode));
s->exp = pb->exp; s->coef = pb->coef;
r->next = s; r = s;
pb = pb->next;
}
else //pa、pb结点的指数相等时
{
c = pa->coef + pb->coef; //求两个结点的系数和c
if (c != 0) //若系数和不为0时创建新结点
{
s = (PolyNode *)malloc(sizeof(PolyNode));
s->exp = pa->exp; s->coef = c;
r->next = s; r = s;
}
pa = pa->next; //pa、pb均后移一个结点
pb = pb->next;
}
}
if (pb != NULL) pa = pb; //复制余下的结点
while (pa != NULL)
{
s = (PolyNode *)malloc(sizeof(PolyNode));
s->exp = pa->exp;
s->coef = pa->coef;
r->next = s; r = s;
pa = pa->next;
}
r->next = NULL; //尾结点next设置为空
}
int main()
{
PolyNode *ha, *hb, *hc;
PolyArray a[] = { { 1.2, 0 }, { 2.5, 1 }, { 3.2, 3 }, { -2.5, 5 } };
PolyArray b[] = { { -1.2, 0 }, { 2.5, 1 }, { 3.2, 3 }, { 2.5, 5 }, { 5.4, 10 } };
CreatePolyR(ha, a, 4);
CreatePolyR(hb, b, 5);
printf("原多项式A: "); DispPoly(ha);
printf("原多项式B: "); DispPoly(hb);
Sort(ha);
Sort(hb);
printf("有序多项式A: "); DispPoly(ha);
printf("有序多项式B: "); DispPoly(hb);
Add(ha, hb, hc);
printf("多项式相加: "); DispPoly(hc);
DestroyPoly(ha);
DestroyPoly(hb);
DestroyPoly(hc);
return 1;
综合性实验
实现两个多项式相乘运算
说明
用单链表存储一元多项式，并实现两个多项式相乘运算。
放码
//文件名:exp2-10.cpp
#include <stdio.h>
#include <malloc.h>
#define MAX 20
typedef struct node
{
double coef; //系数
int exp; //指数
struct node *next;
} PolyNode; //声明多项式单链表结点类型\
void CreatePolyR(PolyNode *&L, double a[], int b[], int n) //尾插法创建多项式单链表
{
PolyNode *s, *r; int i;
L = (PolyNode *)malloc(sizeof(PolyNode));
L->next = NULL;
r = L; //r始终指向终端结点,开始时指向头结点
for (i = 0; i < n; i++)
{
s = (PolyNode *)malloc(sizeof(PolyNode));
s->coef = a[i];
s->exp = b[i];
r->next = s; //将结点s插入结点r之后
r = s;
}
r->next = NULL; //尾结点next域置为NULL
}
void DestroyPoly(PolyNode *&L) //销毁单链表
{
PolyNode *pre = L, *p = pre->next;
while (p != NULL)
{
free(pre);
pre = p;
p = pre->next;
}
free(pre);
}
void DispPoly(PolyNode *L) //输出多项式单链表
{
bool first = true; //first为true表示是第一项
PolyNode *p = L->next;
while (p != NULL)
{
if (first)
first = false;
else if (p->coef > 0)
printf("+");
if (p->exp == 0)
printf("%g", p->coef);
else if (p->exp == 1)
printf("%gx", p->coef);
else
printf("%gx^%d", p->coef, p->exp);
p = p->next;
}
printf("\n");
}
void Sort(PolyNode *&L) //将多项式单链表按指数递减排序
{
PolyNode *p = L->next, *pre, *q;
if (p != NULL) //L有一个或以上的数据结点
{
q = p->next; //q保存p结点的后继结点
p->next = NULL; //构造只含一个数据结点的有序表
p = q;
while (p != NULL) //扫描原L中余下的数据结点
{
q = p->next; //q保存p结点的后继结点
pre = L;
while (pre->next != NULL && pre->next->exp > p->exp)
pre = pre->next; //在有序表中找插入结点p的前驱结点pre
p->next = pre->next; //将结点p插入到结点pre之后
pre->next = p;
p = q; //扫描原单链表余下的结点
}
}
}
void Mult1(PolyNode *ha, PolyNode *hb, PolyNode *&hc) //ha和bh简单相乘得到hc
{
PolyNode *pa = ha->next, *pb, *s, *tc;
hc = (PolyNode *)malloc(sizeof(PolyNode));
tc = hc;
while (pa != NULL)
{
pb = hb->next;
while (pb != NULL)
{
s = (PolyNode *)malloc(sizeof(PolyNode));
s->coef = pa->coef*pb->coef;
s->exp = pa->exp + pb->exp;
tc->next = s;
tc = s;
pb = pb->next;
}
pa = pa->next;
}
tc->next = NULL;
}
void Comb(PolyNode *&L) //合并指数相同的项
{
PolyNode *pre = L->next, *p;
if (pre == NULL) return;
p = pre->next;
while (p != NULL)
{
while (p->exp == pre->exp)
{
pre->coef += p->coef;
pre->next = p->next;
free(p);
p = pre->next;
}
pre = p;
p = p->next;
}
}
void DelZero(PolyNode *&L) //删除系数为0的项
{
PolyNode *pre = L, *p = pre->next;
while (p != NULL)
{
if (p->coef == 0.0)
{
pre->next = p->next;
free(p);
}
pre = p;
p = p->next;
}
}
void Mult(PolyNode *ha, PolyNode *hb, PolyNode *&hc) //ha和bh相乘得到最终的hc
{
Mult1(ha, hb, hc);
printf("相乘结果: "); DispPoly(hc);
Sort(hc);
printf("按指数排序后: "); DispPoly(hc);
Comb(hc);
printf("合并重复指数项:"); DispPoly(hc);
DelZero(hc);
printf("删除序数为0项: "); DispPoly(hc);
}
int main()
{
PolyNode *Poly1, *Poly2, *Poly3;
double a[MAX];
int b[MAX], n;
//----创建第1个多项单链表并排序-----
a[0] = 2; b[0] = 3; a[1] = 1; b[1] = 0; a[2] = 3; b[2] = 1;
n = 3;
printf("第1个多项式:\n");
CreatePolyR(Poly1, a, b, n);
printf(" 排序前多项式1:"); DispPoly(Poly1);
Sort(Poly1);
printf(" 排序后多项式1:"); DispPoly(Poly1);
//----创建第2个多项单链表并排序-----
printf("第2个多项式:\n");
a[0] = 2; b[0] = 3; a[1] = -3; b[1] = 2;
a[2] = 5; b[2] = 4; a[3] = -3; b[3] = 0;
n = 4;
CreatePolyR(Poly2, a, b, n);
printf(" 排序前多项式2:"); DispPoly(Poly2);
Sort(Poly2);
printf(" 排序后多项式2:"); DispPoly(Poly2);
Mult(Poly1, Poly2, Poly3);
printf("相乘后多项式3: "); DispPoly(Poly3);
DestroyPoly(Poly1);
DestroyPoly(Poly2);
DestroyPoly(Poly3);
return 1;
结果
第1个多项式:
排序前多项式1:2x^3+1+3x
排序后多项式1:2x^3+3x+1
第2个多项式:
排序前多项式2:2x^3-3x^2+5x^4-3
排序后多项式2:5x^4+2x^3-3x^2-3
相乘结果: 10x^7+4x^6-6x^5-6x^3+15x^5+6x^4-9x^3-9x+5x^4+2x^3-3x^2-3
按指数排序后: 10x^7+4x^6+15x^5-6x^5+5x^4+6x^4+2x^3-9x^3-6x^3-3x^2-9x-3
合并重复指数项:10x^7+4x^6+9x^5+11x^4-13x^3-3x^2-9x-3
删除序数为0项: 10x^7+4x^6+9x^5+11x^4-13x^3-3x^2-9x-3
相乘后多项式3: 10x^7+4x^6+9x^5+11x^4-13x^3-3x^2-9x-3
请按任意键继续. . .
职工信息的综合运算
说明
设有一个职工文件 emp.dat，每个职工记录包含职工编号（no），姓名（name）、部门号（depno）和工资数（salary）信息。完成如下功能：
从emp.dat 文件中读出职工记录,并建立一个带头结点的单链表L。
输人一个职工记录。
显示所有职工记录。
按编号no对所有职工记录进行递增排序。
按部门号depno对所有职工记录进行递增排序。
按工资数salary对所有职工记录进行递增排序。
删除指定的职工号的职工记录。
删除职工文件中的全部记录。
将单链表L中的所有职工记录存储到职工文件emp.dat 中。
放码
//文件名:exp2-11.cpp
#include <stdio.h>
#include <malloc.h>
typedef struct
{
int no; //职工号
char name[10]; //姓名
int depno; //部门号
float salary; //工资数
} EmpType; //职工类型
typedef struct node
{
EmpType data; //存放职工信息
struct node *next; //指向下一个结点的指针
} EmpList; //职工单链表结点类型
void DestroyEmp(EmpList *&L) //释放职工单链表L
{
EmpList *pre = L, *p = pre->next;
while (p != NULL)
{
free(pre);
pre = p;
p = p->next;
}
free(pre);
}
void DelAll(EmpList *&L) //删除职工文件中全部记录
{
FILE *fp;
if ((fp = fopen("emp.dat", "wb")) == NULL) //重写清空emp.dat文件
{
printf(" 提示:不能打开职工文件\n");
return;
}
fclose(fp);
DestroyEmp(L); //释放职工单链表L
L = (EmpList *)malloc(sizeof(EmpList));
L->next = NULL; //建立一个空的职工单链表L
printf(" 提示:职工数据清除完毕\n");
}
void ReadFile(EmpList *&L) //读emp.dat文件建立职工单键表L
{
FILE *fp;
EmpType emp;
EmpList *p, *r;
int n = 0;
L = (EmpList *)malloc(sizeof(EmpList)); //建立头结点
r = L;
if ((fp = fopen("emp.dat", "rb")) == NULL) //不存在emp.dat文件
{
if ((fp = fopen("emp.dat", "wb")) == NULL)
printf(" 提示:不能创建emp.dat文件\n");
}
else //若存在emp.dat文件
{
while (fread(&emp, sizeof(EmpType), 1, fp) == 1)
{ //采用尾插法建立单链表L
p = (EmpList *)malloc(sizeof(EmpList));
p->data = emp;
r->next = p;
r = p;
n++;
}
}
r->next = NULL;
printf(" 提示:职工单键表L建立完毕,有%d个记录\n", n);
fclose(fp);
}
void SaveFile(EmpList *L) //将职工单链表数据存入数据文件
{
EmpList *p = L->next;
int n = 0;
FILE *fp;
if ((fp = fopen("emp.dat", "wb")) == NULL)
{
printf(" 提示:不能创建文件emp.dat\n");
return;
}
while (p != NULL)
{
fwrite(&p->data, sizeof(EmpType), 1, fp);
p = p->next;
n++;
}
fclose(fp);
DestroyEmp(L); //释放职工单链表L
if (n > 0)
printf(" 提示:%d个职工记录写入emp.dat文件\n", n);
else
printf(" 提示:没有任何职工记录写入emp.dat文件\n");
}
void InputEmp(EmpList *&L) //添加一个职工记录
{
EmpType p;
EmpList *s;
printf(" >>输入职工号(-1返回):");
scanf("%d", &p.no);
if (p.no == -1) return;
printf(" >>输入姓名 部门号 工资:");
scanf("%s%d%f", &p.name, &p.depno, &p.salary);
s = (EmpList *)malloc(sizeof(EmpList));
s->data = p;
s->next = L->next; //采用头插法插入结点s
L->next = s;
printf(" 提示:添加成功\n");
}
void DelEmp(EmpList *&L) //删除一个职工记录
{
EmpList *pre = L, *p = L->next;
int no;
printf(" >>输入职工号(-1返回):");
scanf("%d", &no);
if (no == -1) return;
while (p != NULL && p->data.no != no)
{
pre = p;
p = p->next;
}
if (p == NULL)
printf(" 提示:指定的职工记录不存在\n");
else
{
pre->next = p->next;
free(p);
printf(" 提示:删除成功\n");
}
}
void Sortno(EmpList *&L) //采用直接插入法单链表L按no递增有序排序
{
EmpList *p, *pre, *q;
p = L->next->next;
if (p != NULL)
{
L->next->next = NULL;
while (p != NULL)
{
q = p->next;
pre = L;
while (pre->next != NULL && pre->next->data.no < p->data.no)
pre = pre->next;
p->next = pre->next;
pre->next = p;
p = q;
}
}
printf(" 提示:按no递增排序完毕\n");
}
void Sortdepno(EmpList *&L) //采用直接插入法单链表L按depno递增有序排序
{
EmpList *p, *pre, *q;
p = L->next->next;
if (p != NULL)
{
L->next->next = NULL;
while (p != NULL)
{
q = p->next;
pre = L;
while (pre->next != NULL && pre->next->data.depno < p->data.depno)
pre = pre->next;
p->next = pre->next;
pre->next = p;
p = q;
}
}
printf(" 提示:按depno递增排序完毕\n");
}
void Sortsalary(EmpList *&L) //采用直接插入法单链表L按salary递增有序排序
{
EmpList *p, *pre, *q;
p = L->next->next;
if (p != NULL)
{
L->next->next = NULL;
while (p != NULL)
{
q = p->next;
pre = L;
while (pre->next != NULL && pre->next->data.salary < p->data.salary)
pre = pre->next;
p->next = pre->next;
pre->next = p;
p = q;
}
}
printf(" 提示:按salary递增排序完毕\n");
}
void DispEmp(EmpList *L) //输出所有职工记录
{
EmpList *p = L->next;
if (p == NULL)
printf(" 提示:没有任何职工记录\n");
else
{
printf(" 职工号 姓名 部门号 工资\n");
printf(" ----------------------------------\n");
while (p != NULL)
{
printf(" %3d%10s %-8d%7.2f\n", p->data.no, p->data.name, p->data.depno, p->data.salary);
p = p->next;
}
printf(" ----------------------------------\n");
}
}
int main()
{
EmpList *L;
int sel;
printf("由emp.dat文件建立职工单键表L\n");
ReadFile(L);
do
{
printf(">1:添加 2:显示 3:按职工号排序 4:按部门号排序 5:按工资数排序\n");
printf(">6:删除 9:全删 0:退出 请选择:");
scanf("%d", &sel);
switch (sel)
{
case 9:
DelAll(L);
break;
case 1:
InputEmp(L);
break;
case 2:
DispEmp(L);
break;
case 3:
Sortno(L);
break;
case 4:
Sortdepno(L);
break;
case 5:
Sortsalary(L);
break;
case 6:
DelEmp(L);
break;
}
} while (sel != 0);
SaveFile(L);
return 1;
}
结果
由emp.dat文件建立职工单键表L
提示:职工单键表L建立完毕,有4个记录
>1:添加 2:显示 3:按职工号排序 4:按部门号排序 5:按工资数排序
>6:删除 9:全删 0:退出 请选择:2
职工号 姓名 部门号 工资
----------------------------------
3 李明 2 5865.00
2 程功 3 6856.00
1 王华 1 7250.00
4 许启 2 8246.00
----------------------------------
>1:添加 2:显示 3:按职工号排序 4:按部门号排序 5:按工资数排序
>6:删除 9:全删 0:退出 请选择:3
提示:按no递增排序完毕
>1:添加 2:显示 3:按职工号排序 4:按部门号排序 5:按工资数排序
>6:删除 9:全删 0:退出 请选择:2
职工号 姓名 部门号 工资
----------------------------------
1 王华 1 7250.00
2 程功 3 6856.00
3 李明 2 5865.00
4 许启 2 8246.00
----------------------------------
>1:添加 2:显示 3:按职工号排序 4:按部门号排序 5:按工资数排序
>6:删除 9:全删 0:退出 请选择:5
提示:按salary递增排序完毕
>1:添加 2:显示 3:按职工号排序 4:按部门号排序 5:按工资数排序
>6:删除 9:全删 0:退出 请选择:2
职工号 姓名 部门号 工资
----------------------------------
3 李明 2 5865.00
2 程功 3 6856.00
1 王华 1 7250.00
4 许启 2 8246.00
----------------------------------
>1:添加 2:显示 3:按职工号排序 4:按部门号排序 5:按工资数排序
>6:删除 9:全删 0:退出 请选择:0
提示:4个职工记录写入emp.dat文件
请按任意键继续. . .
放码
//文件名:exp2-12.cpp
#include <stdio.h>
#include <malloc.h>
#include <string.h>
#define MaxSize 50
typedef struct node
{
int data;
struct node *next;
} NodeType;
void CreateLink(NodeType *&h, char a[], int n) //创建整数单链表
{
NodeType *p, *r;
int i = 0;
h = (NodeType *)malloc(sizeof(NodeType));
r = h;
while (i < n)
{
p = (NodeType *)malloc(sizeof(NodeType));
p->data = a[n - i - 1] - '0';
r->next = p; r = p;
i++;
}
r->next = NULL;
}
void DestroyLink(NodeType *&h) //释放整数单链表
{
NodeType *pre = h, *p = pre->next;
while (p != NULL)
{
free(pre);
pre = p;
p = p->next;
}
free(pre);
}
void DispLink(NodeType *h) //输出整数单链表
{
NodeType *p = h->next;
while (p != NULL)
{
printf("%d ", p->data);
p = p->next;
}
printf("\n");
}
void Add(NodeType *h1, NodeType *h2, NodeType *&h) //两整数值单链表h1和h2相加得到h
{
NodeType *p1 = h1->next, *p2 = h2->next, *p, *r;
int carry = 0;
h = (NodeType *)malloc(sizeof(NodeType));
r = h;
while (p1 != NULL && p2 != NULL)
{
p = (NodeType *)malloc(sizeof(NodeType));
p->data = (p1->data + p2->data + carry) % 10;
r->next = p; r = p;
carry = (p1->data + p2->data + carry) / 10;
p1 = p1->next;
p2 = p2->next;
}
if (p1 == NULL) p1 = p2;
while (p1 != NULL)
{
p = (NodeType *)malloc(sizeof(NodeType));
p->data = (p1->data + carry) % 10;
r->next = p; r = p;
carry = (p1->data + carry) / 10;
p1 = p1->next;
}
if (carry > 0) //最后carry不为0时，创建一个结点存放它
{
p = (NodeType *)malloc(sizeof(NodeType));
p->data = carry;
r->next = p; r = p;
}
r->next = NULL;
}
void Reverse(NodeType *&h) //逆置整数单链表h
{
NodeType *p = h->next, *q;
h->next = NULL;
while (p != NULL)
{
q = p->next;
p->next = h->next; h->next = p;
p = q;
}
}
int Mid(NodeType *h) //求整数单链表h的中间位
{
NodeType *slow = h, *quick = h;
while (quick != NULL && quick->next != NULL)
{
slow = slow->next;
quick = quick->next->next;
}
return slow->data;
}
int main()
{
NodeType *h1, *h2, *h;
char s[MaxSize], t[MaxSize];
printf("操作步骤:\n");
printf(" (1)输入整数1: "); scanf("%s", s);
printf(" (2)输入整数2: "); scanf("%s", t);
CreateLink(h1, s, strlen(s));
CreateLink(h2, t, strlen(t));
printf(" (3)整数单链表1: "); DispLink(h1);
printf(" (4)整数单链表2: "); DispLink(h2);
Add(h1, h2, h);
printf(" (5)结果单链表: "); DispLink(h);
Reverse(h);
printf(" (6)对应的整数: "); DispLink(h);
printf(" (7)中间位:%d\n", Mid(h));
DestroyLink(h);
DestroyLink(h1);
DestroyLink(h2);
return 1;
结果
操作步骤:
(1)输入整数1: 99999999
(2)输入整数2: 666666661
(3)整数单链表1: 9 9 9 9 9 9 9 9
(4)整数单链表2: 1 6 6 6 6 6 6 6 6
(5)结果单链表: 0 6 6 6 6 6 6 6 7
(6)对应的整数: 7 6 6 6 6 6 6 6 0
(7)中间位:6
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