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綾瀬桃桃
2024-03-18 20:18:12 +08:00
parent 8933bff3c7
commit 59e0405033
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.vscode/settings.json vendored Normal file
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69
Chapter3/BracketsMatch/BracketsMatch.cpp Normal file
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/***链栈实现括号匹配***/
#include<string>
#include<iostream>
using namespace std;
#include"LinkStack.h"
//算法3.11 括号的匹配
bool match(string exp)
{
//检验表达式(表达式以"#"结束)中所含"["和"]"、"("和")"是否匹配，如果匹配，则返回true，否则返回false。
//表达式以“#”结束
SNode<char>* S;
InitStack(S);
int flag = 1; // 标记查找结果以控制循环及返回结果
char ch;
char e, x;
int i = 0;
ch = exp[i++]; // 读入第一个字符
while (ch != '#' && flag)
{
switch (ch)
{
case '[':
case '(': // 若是左括号，则将其压入栈
cout << "左括号进栈！" << endl;
Push(S, ch);
break;
case ')': // 若是右括号“)”，则根据栈顶元素的值分情况考虑
GetTop(S, e);
if (!StackEmpty(S) && e == '(') // 若栈非空且栈顶元素是“(”，则匹配成功
{
Pop(S, x);
cout << "右括号出栈！" << endl;
}
else
flag = 0; // 若栈空或栈顶元素不是“(”，则非法
break;
case ']': // 若是右括号“]”，则根据栈顶元素的值分情况考虑
GetTop(S, e);
if (!StackEmpty(S) && e == '[') // 若栈顶元素是“[”，则匹配成功
Pop(S, x);
else
flag = 0; // 若栈空或栈顶元素不是“[”，则非法
break;
}//switch
ch = exp[i++]; //继续读入下一个字符
}//while
if (StackEmpty(S) && flag) // 栈空且标志为true,括号匹配，返回true
return true;
else // 否则，括号不匹配,返回false
return false;
}//match
int main()
{
int flag;
string exp;
cout << "请输入待匹配的表达式，以“#”结束：" << endl;
cin >> exp;
flag = match(exp);
if (flag)
cout << "括号匹配成功！" << endl;
else
cout << "括号匹配失败！" << endl;
return 0;
}//end of main function

138
Chapter3/BracketsMatch/BracketsMatch.vcxproj Normal file
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92
Chapter3/BracketsMatch/LinkStack.h Normal file
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template <class DT>
struct SNode //结点
{
DT data; //数据域，存储数据元素值
SNode* next;//指针域，指向下一个结点
};
//【算法3.6】
template <class DT>
void InitStack(SNode<DT>*& S)//创建空链栈
{
S = NULL;
}
//【算法3.7】
template <class DT>
void DestroyStack(SNode<DT>* (&S))//释放链栈
{
SNode<DT>* p;
while (S)//从头结点开始，依次释放结点
{
p = S;
S = S->next;
delete p;
}
//L=NULL;//头结点指向空
}
//【算法3.8】
template<class DT>
bool Push(SNode<DT>*& S, DT e)
{
SNode<DT>* p;
p = new SNode<DT>;
if (!p) return false; //创建失败，结束运行
p->data = e; // 新结点赋值
p->next = S; //结点S链接到p结点之后
S = p;
return true; // 插入成功，返回true
}
//【算法3.9】
template<class DT>
bool Pop(SNode<DT>*& S, DT& e)
{
SNode<DT>* p;
if (S == NULL) return false;
p = S;
e = p->data;
S = S->next;
delete p;
return true; // 删除成功，返回true
}
//【算法3.10】
template<class DT>
bool GetTop(SNode<DT>* S, DT& e)
{
SNode<DT>* p;
if (S == NULL) return false;
p = S;
e = p->data;
return true; // 删除成功，返回true
}
//测栈空
template<class DT>
bool StackEmpty(SNode<DT>* S)
{
if (S == NULL)
return true;
else
return false;
}
//显示栈内容
template<class DT>
void DispStack(SNode<DT>* S)
{
SNode<DT>* p;
p = S;
while (p)
{
cout << p->data << "\t";
p = p->next;
}
cout << endl;
}

91
Chapter3/Chapter3.sln Normal file
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Chapter3/DancePartner/DancePartner.cpp Normal file
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#include<iostream>
#include<string>
using namespace std;
struct dancer // 舞者信息
{
string name; // 姓名
char sex; // 性别
};
struct Node // 队列结点
{
dancer data; // 数据域
Node* next; // 指针域，指向后继
}*front, * rear; // 队头、队尾
struct LinkQueue
{
Node* front;
Node* rear;
}; // 男队和女队
void InitialLinkQueue(LinkQueue& Q) // 初始化队列
{
Q.front = new Node;
Q.front->next = NULL;
Q.rear = Q.front;
}
void DestroyLinkQueue(LinkQueue& Q) // 销毁队列
{
Node* p;
while (Q.front != NULL)
{
p = Q.front;
Q.front = Q.front->next;
delete p;
}
}
void EnQueue(LinkQueue& Q, dancer& e) // 入队
{
Node* s = new Node;
s->data = e;
s->next = Q.rear->next;
Q.rear->next = s;
Q.rear = s;
}
bool IsEmpty(LinkQueue Q) // 判队空
{
if (Q.front == Q.rear)
return true;
else
return false;
}
bool DeQueue(LinkQueue& Q, dancer& e) // 出队
{
Node* p;
if (IsEmpty(Q)) // 队空，
{
cout << "队列为空，无法出队列！";
return false;
}
p = Q.front->next;
e = p->data;
Q.front->next = p->next;
if (p == Q.rear) // 只有一个元素，出队
Q.rear = Q.front; // 修改队尾指针
delete p;
return true;
}
bool GetHead(LinkQueue Q, dancer& e)
{
if (IsEmpty(Q)) // 队空
{
cout << "队列为空，无法取得队首元素！";
return false;
}
e = Q.front->next->data; // 返回队头元素
return true;
}
void QueueTranverse(LinkQueue Q) // 遍历队
{
Node* p;
p = Q.front->next;
while (p != NULL)
{
cout << (p->data).name << " ";
p = p->next;
}
cout << endl;
}
void EntranHall(dancer person[], int num) // 舞者入场
{
int i;
for (i = 0; i < num; i++)
{
cout << "请输入第" << i + 1 << "个舞者性别(F(女) or M(男))及姓名:" << endl;
cin >> person[i].sex;
cin >> person[i].name;
}
cout << "现有舞者：" << endl;
for (i = 0; i < num; i++)
{
cout << i + 1 << ":" << person[i].sex
<< "," << person[i].name << endl;
}
}
//算法3.24
void DancePartner(dancer person[], int num)
{
dancer newdancer, m, f, p;
LinkQueue GenQueue;
LinkQueue LadyQueue;
InitialLinkQueue(GenQueue); // 初始化男队
InitialLinkQueue(LadyQueue); // 初始化女队
for (int i = 0; i < num; i++) // 舞者入场
{
p = person[i];
if (p.sex == 'F')
EnQueue(LadyQueue, p);
else
EnQueue(GenQueue, p);
}
while ((!IsEmpty(GenQueue)) && (!IsEmpty(LadyQueue))) // 匹配舞者
{
DeQueue(GenQueue, m); // 女士出队
DeQueue(LadyQueue, f); // 男士出队
cout << m.name << "<---配对--->" << f.name << endl; // 男、女配队
}
if (!IsEmpty(GenQueue))
{
GetHead(GenQueue, m);
cout << m.name << "先生还在等着呢!" << endl;
}
else if (!IsEmpty(LadyQueue))
{
GetHead(LadyQueue, f);
cout << f.name << "女士还在等着呢!" << endl;
}
else
cout << "配对完美结束!" << endl;
DestroyLinkQueue(GenQueue); // 销毁队列
DestroyLinkQueue(LadyQueue);
}
int main()
{
dancer* person;
int num;
cout << "请输入舞伴总数量:" << endl;
cin >> num;
person = new dancer[num];
EntranHall(person, num); // 舞者入场
DancePartner(person, num); // 舞者匹配
return 0;
}

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template <class DT>
struct QNode //结点
{
DT data; //数据域，存储数据元素值
QNode* next;//指针域，指向下一个结点
};
template<class DT>
struct LinkQueue
{
QNode<DT>* front;
QNode<DT>* rear;
};
//【算法3.19】
template <class DT>
void InitQueue(LinkQueue<DT>& Q)//创建空队列
{
Q.front = new QNode<DT>; //创建头结点
if (!Q.front) exit(1); //创建失败，结束运行
Q.front->next = NULL;
Q.rear = Q.front;
}
//【算法3.20】
template <class DT>
void DestroyQueue(LinkQueue<DT>& Q)//释放链队
{
QNode<DT>* p;
while (Q.front)//从头结点开始，依次释放结点
{
p = Q.front;
Q.front = Q.front->next;
delete p;
}
}
//【算法3.21】 入队
template<class DT>
bool EnQueue(LinkQueue<DT>& Q, DT e)
{
QNode<DT>* p;
p = new QNode<DT>; // 创建新结点
if (!p) return false; // 创建失败，结束运行
p->data = e; // 新结点赋值
p->next = NULL; // 链在队尾
Q.rear->next = p;
Q.rear = p;
return true; // 入队成功，返回true
}
//【算法3.22】 出队
template<class DT>
bool DeQueue(LinkQueue<DT>& Q, DT& e)
{
QNode<DT>* p;
if (Q.front == Q.rear) return false; //队空，返回false
p = Q.front->next; // 取出队元素
e = p->data;
Q.front->next = p->next; //队首元素出队
if (Q.rear == p) //只有一个元素时出队，
Q.rear = Q.front; // 修改队尾
delete p;
return true; // 出队成功，返回true
}
//【算法3.23】 取队头元素
template<class DT>
bool GetHead(LinkQueue<DT> Q, DT& e)
{
if (Q.front == Q.rear) return false; // 队空，返回false
e = Q.front->next->data;
return true; // 删除成功，返回true
}
//取队尾元素
template<class DT>
bool GetTail(LinkQueue<DT> Q, DT& e)
{
if (Q.front == Q.rear) // 队空
return false; // 返回false
e = Q.rear->data; // 获取队尾元素
return true; // 返回true
}
//测队空
template<class DT>
bool QueueEmpty(LinkQueue<DT> Q)
{
if (Q.front == Q.rear) // 队空
return true; //返回true
else //非空
return false; //返回false
}
//显示队列内容
template<class DT>
void DispQueue(LinkQueue<DT> Q)
{
QNode<DT>* p;
p = Q.front->next;
while (p)
{
cout << p->data << "\t";
p = p->next;
}
cout << endl;
}

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#include<iostream> //cout,cin
using namespace std;
#include "LinkQueue.h"
void dispmenu()
{//显示主菜单
cout << endl;
cout << "1-初始化链队\n";
cout << "2-元素入队\n";
cout << "3-元素出队\n";
cout << "4-取队头元素\n";
cout << "5-取队尾元素\n";
cout << "6-清空队\n";
cout << "7-测队空\n";
cout << "8-显示队列元素\n";
cout << "0-退出\n";
}
char pause;
//主函数
int main()
{
int e;
LinkQueue<int> Q;
system("cls"); // 执行系统命令cls，清屏
int choice;
do
{
dispmenu(); // 显示主菜单
cout << "功能选择(1~8，0 退出):";
cin >> choice;
switch (choice)
{
case 1: // 初始化链队
InitQueue(Q);
cout << endl << "创建成功！" << endl;
break;
case 2: //入队
cout << "输入要插入的元素值：" << endl;
cin >> e;
cout << endl;
if (EnQueue(Q, e))
{
cout << endl << "入队成功！队列元素为：" << endl;
DispQueue(Q);
}
else
cout << endl << "入队不成功！" << endl;
break;
case 3: // 出队
if (DeQueue(Q, e))
{
cout << endl << "出队成功！出队元素为:" << e << endl;
cout << endl << "出队后，队列元素为：" << endl;
DispQueue(Q);
}
else
cout << endl << "队空，出队失败！" << endl;
break;
case 4: // 获取队头元素
if (GetHead(Q, e))
{
cout << "队列元素为：" << endl;
DispQueue(Q);
cout << endl << "队头元素为:" << e << endl;
}
else
cout << endl << "队空！" << endl;
break;
case 5: // 获取队尾元素
if (GetTail(Q, e))
{
cout << "队列元素为：" << endl;
DispQueue(Q);
cout << endl << "队尾元素为:" << e << endl;
}
else
cout << endl << "队空！" << endl;
break;
case 6: // 清空队
ClearQueue(Q);
cout << endl << "队已空!" << endl;
case 7: // 测队空
if (QueueEmpty(Q))
cout << endl << "空队！" << endl;
else
cout << endl << "不是空队！" << endl;
break;
case 8: // 查看队列元素
DispQueue(Q);
cout << endl;
break;
case 0: // 退出
DestroyQueue(Q);
cout << "结束运行Bye-bye!" << endl;
break;
default: // 无效选择
cout << "无效选择!\n";
break;
}
} while (choice != 0);
return 0;
}//end of main function

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template <class DT>
struct QNode //结点
{
DT data; //数据域，存储数据元素值
QNode* next;//指针域，指向下一个结点
};
template<class DT>
struct LinkQueue
{
QNode<DT>* front;
QNode<DT>* rear;
};
//【算法3.19】
template <class DT>
void InitQueue(LinkQueue<DT>& Q)//创建空队列
{
Q.front = new QNode<DT>; //创建头结点
if (!Q.front) exit(1); //创建失败，结束运行
Q.front->next = NULL;
Q.rear = Q.front;
}
//【算法3.20】
template <class DT>
void DestroyQueue(LinkQueue<DT>& Q)//释放链队
{
QNode<DT>* p;
while (Q.front)//从头结点开始，依次释放结点
{
p = Q.front;
Q.front = Q.front->next;
delete p;
}
Q.rear = Q.front = NULL;
}
template <class DT>
void ClearQueue(LinkQueue<DT>& Q) // 清空链队
{
QNode<DT>* p;
while (Q.front->next) //从队头开始，依次释放结点
{
p = Q.front->next;
Q.front->next = p->next;
delete p;
}
Q.front->next = NULL; // 空队
Q.rear = Q.front;
}
//【算法3.21】 入队
template<class DT>
bool EnQueue(LinkQueue<DT>& Q, DT e)
{
QNode<DT>* p;
p = new QNode<DT>; // 创建新结点
if (!p) return false; // 创建失败，结束运行
p->data = e; // 新结点赋值
p->next = NULL; // 链在队尾
Q.rear->next = p;
Q.rear = p;
return true; // 入队成功，返回true
}
//【算法3.22】 出队
template<class DT>
bool DeQueue(LinkQueue<DT>& Q, DT& e)
{
QNode<DT>* p;
if (Q.front == Q.rear) return false; //队空，返回false
p = Q.front->next; // 取出队元素
e = p->data;
Q.front->next = p->next; //队首元素出队
if (Q.rear == p) //只有一个元素时出队，
Q.rear = Q.front; // 修改队尾
delete p;
return true; // 出队成功，返回true
}
//【算法3.23】 取队头元素
template<class DT>
bool GetHead(LinkQueue<DT> Q, DT& e)
{
if (Q.front == Q.rear) return false; // 队空，返回false
e = Q.front->next->data;
return true; // 删除成功，返回true
}
//取队尾元素
template<class DT>
bool GetTail(LinkQueue<DT> Q, DT& e)
{
if (Q.front == Q.rear) // 队空
return false; // 返回false
e = Q.rear->data; // 获取队尾元素
return true; // 返回true
}
//测队空
template<class DT>
bool QueueEmpty(LinkQueue<DT> Q)
{
if (Q.front == Q.rear) // 队空
return true; //返回true
else //非空
return false; //返回false
}
//显示队列内容
template<class DT>
void DispQueue(LinkQueue<DT> Q)
{
QNode<DT>* p;
p = Q.front->next;
while (p)
{
cout << p->data << "\t";
p = p->next;
}
cout << endl;
}

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93
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#include<iostream> //cout,cin
using namespace std;
#include "LinkStack.h"
void dispmenu()
{//显示主菜单
cout << endl;
cout << "1-初始化链栈\n";
cout << "2-元素入栈\n";
cout << "3-元素出栈\n";
cout << "4-取栈顶元素\n";
cout << "5-清空栈\n";
cout << "6-测栈空\n";
cout << "7-显示栈元素\n";
cout << "0-退出\n";
}
//主函数
int main()
{
int e;
SNode<int>* S;
system("cls"); // 清屏
int choice;
do
{
dispmenu(); //显示主菜单
cout << "Enter choice(1~6，0 退出):";
cin >> choice;
switch (choice)
{
case 1: //初始化链栈
InitStack(S);
cout << endl << "创建成功！" << endl;
break;
case 2: //入栈
cout << "输入要入栈的元素值：" << endl;
cin >> e;
cout << endl;
if (Push(S, e))
{
cout << endl << "入栈成功！栈中元素为：" << endl;
DispStack(S);
}
else
cout << endl << "入栈不成功！" << endl;
break;
case 3: //出栈
if (Pop(S, e))
{
cout << endl << "出栈成功！出栈元素为:" << e << endl;
cout << "出栈后，栈中元素为" << endl;
DispStack(S);
}
else
cout << endl << "栈空，出栈失败！" << endl;
break;
case 4: //获取栈顶元素
if (GetTop(S, e))
{
cout << endl << "栈顶元素为:" << e << endl;
}
else
cout << endl << "栈空！" << endl;
break;
case 5: // 清空栈
DestroyStack(S);
cout << "栈已清空!" << endl;
break;
case 6: //测栈空
if (StackEmpty(S))
cout << endl << "空栈！" << endl;
else
cout << endl << "不是空栈！" << endl;
break;
case 7: //显示栈元素
DispStack(S);
cout << endl;
break;
case 0: //退出
DestroyStack(S);
cout << "结束运行Bye-bye!" << endl;
break;
default: //非法选择
cout << "无效选择!\n";
break;
}
} while (choice != 0);
return 0;
}//end of main function

96
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template <class DT>
struct SNode // 结点
{
DT data; // 数据域，存储数据元素值
SNode* next; // 指针域，指向下一个结点
};
//【算法3.6】
template <class DT>
bool InitStack(SNode<DT>*& S) // 创建空链栈
{
S = NULL;
return true;
}
//【算法3.7】
template <class DT>
void DestroyStack(SNode<DT>* (&S)) // 释放链栈所占内存
{
SNode<DT>* p;
while (S) //从头结点开始，依次释放结点
{
p = S;
S = S->next;
delete p;
}
S = NULL;
}
//【算法3.8】
template<class DT>
bool Push(SNode<DT>*& S, DT e)
{
SNode<DT>* p;
p = new SNode<DT>;
if (!p)
return false; //创建失败，结束运行
p->data = e; // 新结点赋值
p->next = S; //结点S链接到p结点之后
S = p;
return true; // 插入成功，返回true
}
//【算法3.9】
template<class DT>
bool Pop(SNode<DT>*& S, DT& e)
{
SNode<DT>* p;
if (S == NULL) return false;
p = S;
e = p->data;
S = S->next;
delete p;
return true; // 删除成功，返回true
}
//【算法3.10】
template<class DT>
bool GetTop(SNode<DT>* S, DT& e)
{
SNode<DT>* p;
if (S == NULL) return false;
p = S;
e = p->data;
return true; // 删除成功，返回true
}
//测栈空
template<class DT>
bool StackEmpty(SNode<DT>* S)
{
if (S == NULL)
return true;
else
return false;
}
//显示栈内容
template<class DT>
void DispStack(SNode<DT>* S)
{
SNode<DT>* p;
p = S;
while (p)
{
cout << p->data << "\t";
p = p->next;
}
cout << endl;
}

138
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126
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#include<iostream>//cout,cin
using namespace std;
#include "SqQueue.h"
char pause;
void dispmenu() //菜单
{
cout << endl;
cout << "1-初始化顺序队列\n";
cout << "2-元素入队\n";
cout << "3-元素出队\n";
cout << "4-取队头元素\n";
cout << "5-取队尾元素\n";
cout << "6-清空队\n";
cout << "7-测队空\n";
cout << "8-测队满\n";
cout << "9-显示队列元素\n";
cout << "10-显示队头、队尾指针\n";
cout << "0-退出\n";
}
//主函数
int main()
{
int i;
int e;
SqQueue<int> Q; // 元素类型为整型的顺序队列
system("cls"); // 清屏
int choice;
do
{
dispmenu(); //显示主菜单
cout << "功能选择(1~10，0 退出！):";
cin >> choice;
switch (choice)
{
case 1: // 初始化顺序队列
cout << "请输入要创建的顺序队列的长度";
cin >> i;
cout << endl;
InitQueue(Q, i);
cout << endl << "创建成功！" << endl;
break;
case 2: // 入队
cout << "输入要入队的元素值：" << endl;
cin >> e;
cout << endl;
if (EnQueue(Q, e))
{
cout << endl << "入队成功！入队后队列元素为：" << endl;
DispQueue(Q);
}
else
cout << endl << "队满，不能入队！" << endl;
break;
case 3: // 出队
if (DeQueue(Q, e))
{
cout << endl << "队列元素为：";
DispQueue(Q);
cout << endl << "出队元素为:" << e << endl;
}
else
cout << endl << "队空，不能出队！" << endl;
break;
case 4: // 取队头元素
if (GetHead(Q, e))
{
cout << endl << "队列元素为：";
DispQueue(Q);
cout << endl << "队头元素为:" << e << endl;
}
else
cout << endl << "队空！" << endl;
break;
case 5: // 取队尾元素
if (GetTail(Q, e))
{
cout << endl << "队列元素为：";
DispQueue(Q);
cout << endl << "队尾元素为:" << e << endl;
}
else
cout << endl << "队空！无数据元素" << endl;
break;
case 6: // 清空队
ClearQueue(Q);
cout << "队已清空!" << endl;
break;
case 7: // 测队空
if (QueueEmpty(Q))
cout << endl << "空队！" << endl;
else
cout << endl << "非空队！" << endl;
break;
case 8: // 测队满
if (QueueFull(Q))
cout << endl << "满队！" << endl;
else
cout << endl << "非满队！" << endl;
break;
case 9: // 显示队列元素
DispQueue(Q);
cout << endl;
break;
case 10:
cout << "\nQ.fornt=" << Q.front << endl;
cout << "Q.rear=" << Q.rear << endl;
break;
case 0: // 退出
DestroyQueue(Q);
cout << "结束运行Bye-bye!" << endl;
break;
default: // 无效选择
cout << "无效选择!\n";
break;
}
} while (choice != 0);
return 0;
}//end of main function

135
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#include<iostream>//cout,cin
using namespace std;
#include "SqStack.h"
char pause;
void dispmenu()
{ //显示主菜单
cout << endl;
cout << "1-初始化顺序栈\n";
cout << "2-元素入栈\n";
cout << "3-元素出栈\n";
cout << "4-取栈顶元素\n";
cout << "5-清空栈\n";
cout << "6-测栈空\n";
cout << "7-测栈满\n";
cout << "8-显示栈元素\n";
cout << "9-查看栈顶指针\n";
cout << "0-退出\n";
}
//主函数
int main()
{
int i;
int e;
SqStack<int> S;//建立容量为20、元素类型为整型的空顺序栈
system("cls"); // 清屏
int choice;
do
{
dispmenu(); // 显示主菜单
cout << "Enter choice(1~6，0 退出):";
cin >> choice;
switch (choice)
{
case 1: // 初始化顺序栈
cout << "请输入要创建的顺序栈的长度";
cin >> i;
cout << endl;
InitStack(S, i);
cout << endl << "创建成功！" << endl;
break;
case 2: // 入栈
cout << "输入要入栈的元素值：" << endl;
cin >> e;
if (Push(S, e))
{
cout << "入栈成功！入栈后栈元素为：" << endl;
DispStack(S);
}
else
cout << endl << "栈满，不能入栈！" << endl;
break;
case 3: // 出栈
if (Pop(S, e))
{
cout << "出栈成功！出栈元素为:" << e << endl;
cout << "出栈后栈元素为：" << endl;
DispStack(S);
}
else
cout << endl << "栈空，出栈失败！" << endl;
break;
case 4: // 取栈顶元素
if (GetTop(S, e))
{
cout << endl << "栈顶元素为:" << e << endl;
}
else
cout << endl << "栈空！" << endl;
break;
case 5: // 清空栈
ClearStack(S);
cout << endl << "栈已空！" << endl;
break;
case 6: // 测栈空
if (StackEmpty(S))
cout << endl << "空栈！" << endl;
else
cout << endl << "不是空栈！" << endl;
break;
case 7: // 测栈满
if (StackFull(S))
cout << endl << "栈满！" << endl;
else
cout << endl << "栈不满！" << endl;
break;
case 8: // 显示栈元素
DispStack(S);
cout << endl;
break;
case 9: // 显示栈顶指针
cout << "栈顶指针top= " << S.top << endl;
cout << endl;
break;
case 0: // 退出
DestroyStack(S);
cout << "结束运行 Bye-bye!" << endl;
break;
default: // 无效选择
cout << "无效选择!\n";
break;
}
} while (choice != 0);
return 0;
}//end of main function

107
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template <class DT>
struct SqStack // 顺序栈
{
DT* base; // 栈首址
int top; // 栈顶指针
int stacksize; // 栈容量
};
//基本操作的实现
//【算法3.1】 // 初始化栈
template <class DT>
void InitStack(SqStack<DT>& S, int m)
{
S.base = new DT[m]; // 申请栈空间
if (S.base == NULL) // 申请失败，退出
{
cout << "未创建成功！";
exit(1);
}
S.top = -1; // 设置空栈属性
S.stacksize = m;
}
//算法3.2】 // 销毁栈
template <class DT>
void DestroyStack(SqStack<DT>& S)
{
delete[] S.base; // 释放栈空间
S.top = -1;
S.stacksize = 0; // 设置栈属性
}
//【算法3.3】 // 入栈
template<class DT>
bool Push(SqStack<DT>& S, DT e)
{
if (S.top == S.stacksize - 1) // 栈满，不能入栈
return false; // 返回false
S.top++;
S.base[S.top] = e;
return true; // 入栈成功，返回true
}
//【算法3.4】 // 出栈
template<class DT>
bool Pop(SqStack<DT>& S, DT& e)
{
if (S.top == -1) // 栈空
return false; // 返回false
e = S.base[S.top]; // 取栈顶元素
S.top--; // 栈顶指针下移
return true; // 出栈成功，返回true
}
//【算法3.5】 // 获取栈顶元素
template<class DT>
bool GetTop(SqStack<DT> S, DT& e)
{
if (S.top == -1) // 栈空
return false; // 返回false
e = S.base[S.top]; // 栈非空，取栈顶元素
return true; // 返回true
}
// 测栈空
template<class DT>
bool StackEmpty(SqStack<DT> S)
{
if (S.top == -1) // 空栈，返回true
return true;
else // 空栈，返回false
return false;
}
//显示栈内容
template<class DT>
void DispStack(SqStack<DT> S)
{
int i = S.top;
while (i >= 0)
{
cout << S.base[i--] << "\t";
}
cout << endl;
}
template<class DT>
void ClearStack(SqStack<DT>& S)
{
S.top = -1;
}
template<class DT>
int StackFull(SqStack<DT> S)
{
if (S.top == S.stacksize - 1)
return 1;
else
return 0;
}

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282
Chapter3/ValExpression/Expresion.cpp Normal file
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#include<iostream> //cout,cin
using namespace std;
#include"SqStack.h"
char pause;
char Precede(char t1, char t2) //算符的优先级比较
{
char f;
switch (t2)
{
case '+':
case '-':if (t1 == '(' || t1 == '=')
f = '<';
else
f = '>';
break;
case '*':
case '/':if (t1 == '*' || t1 == '/' || t1 == ')')
f = '>';
else
f = '<';
break;
case '(':if (t1 == ')')
{
cout << "ERROR1" << endl;
exit(0);
}
else
f = '<';
break;
case ')':switch (t1)
{
case '(':f = '=';
break;
case '=':cout << "ERROR2" << endl;
exit(0);
default: f = '>';
}
break;
case '=':switch (t1)
{
case '=':f = '=';
break;
case '(':cout << "ERROR2" << endl;
exit(0);
default: f = '>';
}
}
return f;
}
bool In(char ch) // 判断 ch 是否为运算符
{
switch (ch)
{
case'+':
case'-':
case'*':
case'/':
case'(':
case')':
case'=':return true;
default:return false;
}
}
float Operate(float a, char theta, float b)
{ // 实施一次运算
float ch;
switch (theta)
{
case'+':ch = a + b;
break;
case'-':ch = a - b;
break;
case'*':ch = a * b;
break;
case'/':ch = a / b;
}
return ch;
}
//算法3.12
float Val_Exp(char* exp) // 中缀表达式求值。
{
SqStack<char> OP; // 运算符栈
SqStack<float> OD; // 运算数栈
InitStack(OP, 30);
InitStack(OD, 30);
char theta;
float a, b, result;
char ch, x; // 存放由键盘接收的字符
char z[6]; // 存放符点数字符串
int i;
Push(OP, '='); // # 是表达式结束标志
ch = *exp++;
GetTop(OP, x);
while (ch != '=' || x != '=')
{
if (ch >= '0' && ch <= '9' || ch == '.') // ch 是操作数
{
i = 0;
do
{
z[i] = ch;
i++;
ch = *exp++;
} while (ch >= '0' && ch <= '9' || ch == '.');
z[i] = '\0';
result = atof(z); // 将字符串数组转为符点型存于result
Push(OD, result);
}
else if (In(ch)) // 是7种运算符之一
switch (Precede(x, ch))
{
case'<':Push(OP, ch); // 栈顶元素优先权低
ch = *exp++;
break;
case'=':Pop(OP, x); // 脱括号并接收下一字符
ch = *exp++;
break;
case'>':Pop(OP, theta); // 退栈并将运算结果入栈
Pop(OD, b);
Pop(OD, a);
Push(OD, Operate(a, theta, b));
}
else // ch是非法字符
{
cout << "ERROR3" << endl;;
exit(0);
}
GetTop(OP, x);
}
GetTop(OD, result);
DestroyStack(OP);
DestroyStack(OD);
return result;
}
void CreatePostExp(char* exp, char*& postexp) // 由中缀式求后缀式
{
char ch, x;
int i = 0;
SqStack<char> OP;
InitStack(OP, 30);
Push(OP, '='); // # 是表达式结束标志
cout << "中缀表达式：" << exp << endl;
ch = *exp++;
while (ch)
{
if ((ch >= '0' && ch <= '9') || ch == '.')
{
postexp[i++] = ch;
ch = *exp++;
}
if (In(ch)) // 是7种运算符之一
{
postexp[i++] = ' ';
GetTop(OP, x);
switch (Precede(x, ch))
{
case'<':Push(OP, ch); // 栈顶元素优先权低
ch = *exp++;
break;
case'=':Pop(OP, x); // 脱括号并接收下一字符
ch = *exp++;
break;
case'>':
Pop(OP, postexp[i++]); // 运算符出栈输出
break;
}
}
postexp[i] = '\0';
}//while
cout << "\n后缀表达式为:" << postexp << endl;
DestroyStack(OP);
}
//算法3.13
float Val_PostExp(char* postexp) // 后缀表达式求值
{
int i;
char z[6];
float result = 0, d = 0, a, b;
char ch;
SqStack<float> OD;
InitStack(OD, 30);
ch = *postexp++;
while (ch != '\0')
{
if (ch >= '0' && ch <= '9' || ch == '.') // ch为操作数符号
{
i = 0;
do
{
z[i++] = ch;
ch = *postexp++; // 取下一个操作数符号
} while (ch >= '0' && ch <= '9' || ch == '.');
z[i] = '\0';
d = atof(z); // 将字符串数组转为符点型存于result
Push(OD, d); // 操作数进栈
}
if (In(ch)) // ch为运算符
{
Pop(OD, a);
Pop(OD, b);
Push(OD, Operate(b, ch, a));
ch = *postexp++;
}
ch = *postexp++;
}
Pop(OD, result);
DestroyStack(OD);
return result;
}
//主函数
void main()
{
//int i;
char exp[20] = "(2.2+5)+4*(5-3.1)=";
char* postexp;
postexp = new char[30];
*postexp = '\0';
float v;
system("cls"); // 清屏
cout << "\n缺省表达式：" << exp;
cout << endl;
int choice;
do
{ // 显示主菜单
cout << endl;
cout << "1-创建表达式\n";
cout << "2-表达式求值\n";
cout << "3-求后缀表达式\n";
cout << "4-后缀表达式求值\n";
cout << "5-显示表达式\n";
cout << "0-退出\n";
cout << "输入功能选项（1~5，0 退出）:\n";
cin >> choice;
switch (choice)
{
case 1: // 创建表达式
cout << "\n请输入表达式，以=结束" << endl;
cin >> exp;
break;
case 2: // 表达式求值
v = Val_Exp(exp);
cout << exp;
cout << v << endl;
break;
case 3: // 求后缀表达式
CreatePostExp(exp, postexp);
break;
case 4: // 后缀表达式求值
v = Val_PostExp(postexp);
cout << '\n' << postexp << "=" << v << endl;
break;
case 5: // 显示表达式
cout << endl;
cout << "\n已创建的表达式为：";
cout << exp << endl;
if (strlen(postexp))
{
cout << "\n后缀表达式为：";
cout << postexp << endl;
}
break;
case 0: // 退出
cout << "\n结束运行，Bye-Bye!" << endl;
break;
default://
cout << "\n无效选择!\n";
break;
}
} while (choice != 0);
}//end main

89
Chapter3/ValExpression/SqStack.h Normal file
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template <class DT>
struct SqStack // 顺序栈
{
DT* base; // 栈首址
int top; // 栈顶指针
int stacksize; // 栈容量
};
//基本操作的实现
//【算法3.1】 // 初始化栈
template <class DT>
void InitStack(SqStack<DT>& S, int m)
{
S.base = new DT[m]; // 申请栈空间
if (S.base == NULL) // 申请失败，退出
{
cout << "未创建成功！";
exit(1);
}
S.top = -1; // 设置空栈属性
S.stacksize = m;
}
//算法3.2】 // 销毁栈
template <class DT>
void DestroyStack(SqStack<DT>& S)
{
delete[] S.base; // 释放栈空间
S.top = -1;
S.stacksize = 0; // 设置栈属性
}
//【算法3.3】 // 入栈
template<class DT>
bool Push(SqStack<DT>& S, DT e)
{
if (S.top == S.stacksize - 1) // 栈满，不能入栈
return false; // 返回false
S.top++;
S.base[S.top] = e;
return true; // 入栈成功，返回true
}
//【算法3.4】 // 出栈
template<class DT>
bool Pop(SqStack<DT>& S, DT& e)
{
if (S.top == -1) // 栈空
return false; // 返回false
e = S.base[S.top]; // 取栈顶元素
S.top--; // 栈顶指针下移
return true; // 出栈成功，返回true
}
//【算法3.5】 // 获取栈顶元素
template<class DT>
bool GetTop(SqStack<DT> S, DT& e)
{
if (S.top == -1) // 栈空
return false; // 返回false
e = S.base[S.top]; // 栈非空，取栈顶元素
return true; // 返回true
}
// 测栈空
template<class DT>
bool StackEmpty(SqStack<DT> S)
{
if (S.top == -1) // 空栈，返回true
return true;
else // 空栈，返回false
return false;
}
//显示栈内容
template<class DT>
void DispStack(SqStack<DT> S)
{
int i = S.top;
while (i >= 0)
{
cout << S.base[i--] << "\t";
}
cout << endl;
}

138
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41
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253
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template <class DT>
struct LNode //链表结点
{
DT data; //数据域，存储数据元素值
LNode* next; //指针域，指向下一个结点
};
//算法2.1
template <class DT>
bool PriorElem_e(LNode<DT>* L, DT e, DT& pre_e) // 求值为e的元素前驱
{
int k;
k = LocateElem_e(L, e); // 1.获取e的位序k
if (k > 1) // 2.位序k大于1
{
GetElem_i(L, k - 1, pre_e); // 第k-1个元素为e的前驱
return true;
}
else // 3.元素e无前驱
return false; // 返回false
}
//【算法2.14】 创建空单链表
template <class DT>
bool InitList(LNode<DT>*& L)
{
L = new LNode<DT>; // 1.创建头结点
if (!L) exit(1); // 2.创建失败，退出
L->next = NULL; // 3.创建成功
return true; // 返回true
}
//【算法2.15】 尾插法创建n的元素
template <class DT>
bool CreateList_1(LNode<DT>*& L, int n)
{
int i;
LNode<DT>* p, * s;
p = L; //1.工作指针初始化，指向尾结点
cout << "依次输入" << n << "个数据元素：" << endl;
for (i = 1; i <= n; i++) // 2.按元素位序正序创建各结点
{
s = new LNode<DT>; // 2.1 新建一个结点s
if (!s) // 2.2 创建失败，返回false
return false;
cin >> s->data; // 2.3 输入结点值
s->next = p->next; // 2.4 s 链在表尾
p->next = s;
p = s; // 2.5 工作指针指向 s
}
return true; // 3.创建成功，返回true
}
//【算法2.16】 头插法创建n个元素
template <class DT>
bool CreateList_2(LNode<DT>* (&L), int n)
{
int i;
LNode<DT>* s;
cout << "逆序输入" << n << "个数据元素：" << endl;
for (i = 1; i <= n; i++) // 1.按元素位序逆序创建各结点
{
s = new LNode<DT>; // 1.1 新建一个结点 s
if (!s) // 1.2 创建失败，返回false
return false;
cin >> s->data; // 1.3 输入结点值
s->next = L->next; // 1.4 s 在头结点后
L->next = s;
}
return true; // 1.创建成功，返回true
}
//【算法2.17】
template <class DT>
void DestroyList(LNode<DT>* (&L)) // 释放链表所占空间
{
LNode<DT>* p;
while (L) // 1. 表非空,从头结点开始，依次释放结点
{
p = L; // 1.1 处理表头结点
L = L->next; // 1.2 头指针后移
delete p; // 1.3 释放表头结点所占内存
}
L = NULL; // 2.头指针指向空
}
//【算法2.18】 获取第i个元素
template<class DT>
bool GetElem_i(LNode<DT>* L, int i, DT& e)
{
LNode<DT>* p; // 1.初始化
p = L->next; // 1.1 设置工作指针，从首结点开始数结点
int j = 1; // 1.2 计数器初始化
while (p && j < i) // 2.定位到第i个元素结点
{
p = p->next; j++;
}
if (!p || j > i) // 3 未找到，返回false
return false;
else // 4. 找到
{
e = p->data; // 获取第i个元素值
return true; // 返回true
}
}
//【算法2.19】 查找值为e的元素位序
template<class DT>
int LocateElem_e(LNode<DT>* L, DT e)
{
LNode<DT>* p; // 1.初始化从首元开始查找
p = L->next; // 1.1从首元开始查找
int j = 1; // 1.2 计数器初值
while (p && p->data != e) // 2.顺序查找
{
p = p->next; // 2.1未找到指针后移
j++; // 2.2 计数器增1
}
if (p == NULL) // 3. 判断是否找到
return 0; // 3.1末找到，返回0
else
return j; // 3.2 找到，返回位序
}
//【算法2.20】 插入第i个元素
template<class DT>
bool InsertElem_i(LNode<DT>*& L, int i, DT e)
{
int j = 0;
LNode<DT>* p; // 1.初始化
p = L; // 工作指针初始化
while (p && j < i - 1) // 2. 定位到插入点前驱
{
p = p->next;
j++;
}
if (!p || j > i - 1) // 3.判断定位是否成功：
return false; // 3.1 定位失败，不能插入
else // 3.2 定位成功
{
LNode<DT>* s;
s = new LNode<DT>; // 3.2.1建立新结点
s->data = e; // 3.2.2新结点赋值
s->next = p->next; // 3.2.3结点S链接到p结点之后
p->next = s;
return true; // 3.2.4 插入成功，返回true
}
}
//【算法2.21】 删除第i个元素
template<class DT>
bool DeleElem_i(LNode<DT>* (&L), int i)
{
LNode<DT>* p, * q; //1.初始化：设置工作指针
p = L; //查找从头结点开始
int j = 0; //计数器初始化
while (p->next && j < i - 1) //2.p定位到删除点的前驱
{
p = p->next;
j++;
}
if (!p->next || j > i - 1) //3.删除位置不合理，不能删除
return false; //返回false
else //4.删除操作
{
q = p->next; //4.1暂存删除结点位置
p->next = q->next; //4.2从链表中摘除删除结点
delete q;
return true; //4.3删除成功，返回true
}
}
//【算法2.22】 修改第i个元素值
template<class DT>
bool PutElem_i(LNode<DT>* (&L), int i, DT e)
{
LNode<DT>* p; // 1.初始化:设置工作指针
p = L->next; // 从首结点开始，数结点
int j = 1; // 计数器初始化
while (p && j < i) // 2.查找第i个元素结点
{
p = p->next; j++;
}
if (!p || j > i) // 3.元素不存在,返回false
return false;
else // 4.定位成功
{
p->data = e; // 修改元素值
return true; // 返回true
}
}
// 释放链表所占空间
template<class DT>
void ClearList(LNode<DT>* (&L))
{
LNode<DT>* p;
while (L->next) // 从首元结点开始，依次释放结点
{
p = L->next;
L->next = p->next;
delete p;
}
cout << endl << "表已清空!" << endl;
}
//【算法2.23】 测表长
template<class DT>
int ListLength(LNode<DT>* L)
{ // 1.初始化
int len = 0; // 1.1 结点计数器赋初值0
LNode<DT>* p; // 1.2设置工作指针
p = L; // 指向头结点
while (p->next) // 2.数结点个数。有后继结点，
{
len++; p = p->next; // 结点数增1，指针后移
}
return len; // 3.返回表长
}
//
template<class DT>
bool ListEmpty(LNode<DT>* L) //测表空
{
if (L->next == NULL)
return true; //空表，返回1
else
return false; //不空，返回0
}
//【算法2.24】 遍历表
template <class DT>
void DispList(LNode<DT>* L) // 显示表内容
{
LNode<DT>* p; // 1. 设置工作指针
p = L; // 从首元结点开始遍历
while (p->next) // 2.依次输出各结点值
{
p = p->next; cout << p->data << "\t";
}
cout << endl;
}

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Del_e_in_Linear_List/Linked_List/main.cpp Normal file
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#include <iostream>
using namespace std;
#include "LinkList.h"
template <class DT>
void DeleElem_e(LNode<DT>*& L, int e)
{
for (int i = 1; i <= L.length; i++)
{
int n;
GetElem_i(L, i, n);
if (e == n) DeleElem_i(L, i--);
}
}
int main()
{
int i;
LNode<int>* L;
InitList(L);
int length;
cout << "请输入要创建的元素个数:";
cin >> length;
CreateList_1(L, length);
cout << "创建的顺序表元素为：\n";
DispList(L);
cout << endl;
int e;
cout << "请输入要删除的元素的值:";
cin >> e;
DeleElem_e(L, e);
cout << "删除后的顺序表元素为：\n";
DispList(L);
cout << endl;
return 0;
}

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Del_e_in_Linear_List/Sequential_List/Sequential_List.vcxproj.filters Normal file
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175
Del_e_in_Linear_List/Sequential_List/SqList.h Normal file
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template <class DT>
struct SqList // 顺序表
{
DT* elem; // 表首址
int length; // 表长
int size; // 表容量
};
//算法2.1
template <class DT>
bool PriorElem_e(SqList<DT> L, DT e, DT& pre_e) // 求值为e的元素前驱
{
int k;
k = LocateElem_e(L, e); //
if (k > 1)
{
GetElem_i(L, k - 1, pre_e);
return false;
}
else
return true;
}
//【算法2.2】 初始化
template <class DT>
bool InitList(SqList<DT>& L, int m)
{
L.elem = new DT[m]; // 申请表空间
if (L.elem == NULL)
{
cout << "未创建成功！"; // 申请不成功，退出
exit(1);
}
L.length = 0; // 申请成功，属性赋值。空表，表长为0
L.size = m; // 表容量为m
return true;
}
//【算法2.3】 创建表元素
template <class DT>
bool CreateList(SqList<DT>& L, int n)
{
int i;
if (n > L.size) // 1.元素个数大于表容量，不能创建。
{
cout << "元素个数大于表长，不能创建！" << endl;
return false;
}
cout << "请依次输入" << n << "个元素值：" << endl; // 2.依位序输入各元素值
for (i = 1; i <= n; i++)
cin >> L.elem[i - 1];
L.length = n; // 3.表长为创建的元素个数
return true;
}
//【算法2.4】 销毁顺序表
template <class DT>
void DestroyList(SqList<DT>& L)
{
delete[] L.elem; // 1.释放表空间
L.length = 0; // 2.属性赋值
L.size = 0;
}
//【算法2.5】 获取第i个元素值
template<class DT>
bool GetElem_i(SqList<DT> L, int i, DT& e)
{
if (i<1 || i>L.length) // 1.位序不合理，返回false
{
cout << "该元素不存在！" << endl;
return false;
}
e = L.elem[i - 1]; // 2. 否则，获取第i个元素值
return true; // 返回true
}
//【算法2.6】 按值查找
template<class DT>
int LocateElem_e(SqList<DT> L, DT e)
{
for (int i = 1; i <= L.length; i++) // 顺序查找
if (L.elem[i - 1] == e) // 1.找到
return i; // 返回元素位序
return 0; // 2.未找到，返回0
}
//【算法2.7】
template<class DT>
bool InsertElem_i(SqList<DT>& L, int i, DT e)
{
if (L.length >= L.size) // 1.表满，不能插入
return false;
if (i<1 || i>L.length + 1) // 2.插入位置不合理，不能插入
return false;
for (int j = L.length; j >= i; j--) // 3. an~ai依次后移
L.elem[j] = L.elem[j - 1];
L.elem[i - 1] = e;
L.length++;
return true; // 插入成功，返回true
}
//【算法2.8】 删除第i个元素
template<class DT>
bool DeleElem_i(SqList<DT>& L, int i)
{
if (L.length == 0) // 1.表空，不能删除
return false;
if (i<1 || i>L.length) // 2.删除位置不合理，不能插入
return false;
for (int j = i; j < L.length; j++) // 3. ai+1~an依次前移
L.elem[j - 1] = L.elem[j];
L.length--;
return true; // 删除成功，返回true
}
//【算法2.9】
template<class DT>
bool PutElem(SqList<DT>& L, int i, DT e) // 修改第i个元素的值
{
if (i<1 || i>L.length) // 1.位序不合理，不能修改，
return false; // 返回false
L.elem[i - 1] = e; // 2.重置第i个元素值
return true; // 3.修改成功，返回true
}
// 清空顺序表
template<class DT>
void ClearList(SqList<DT>& L)
{
L.length = 0; // 空表，表长为0
}
// 测表长
template<class DT>
int ListLength(SqList<DT> L)
{
return L.length;
}
template<class DT>
bool ListEmpty(SqList<DT> L) // 测表空
{
if (L.length == 0) // 空表，返回true
return true;
else
return false; // 非空表，返回false
}
template<class DT>
bool ListFull(SqList<DT> L)
{
if (L.length == L.size) // 表满，返回true
return true;
else
return false; // 表不满，返回false
}
//【算法2.10】 遍历输出
template <class DT>
void DispList(SqList<DT> L)
{
int i;
for (i = 1; i <= L.length; i++) // 依位序输出元素值
{
cout << L.elem[i - 1] << "\t";
}
cout << endl;
}

34
Del_e_in_Linear_List/Sequential_List/main.cpp Normal file
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#include <iostream>
using namespace std;
#include "SqList.h"
template <class DT>
void DeleElem_e(SqList<DT>& L, int e)
{
for (int i = 1; i <= L.length; i++)
{
int n;
GetElem_i(L, i, n);
if (e == n) DeleElem_i(L, i--);
}
}
int main()
{
int i;
SqList<int> L;
InitList(L, 32);
cout << "请输入要创建的元素个数:";
cin >> i;
cout << endl;
CreateList(L, i);
cout << "创建的顺序表元素为：\n";
DispList(L);
cout << endl;
int e;
cout << "请输入要删除的元素的值:";
cin >> e;
DeleElem_e(L, e);
cout << "删除后的顺序表元素为：\n";
DispList(L);
cout << endl;
return 0;
}

69
OrigFiles/3-特殊线性表/3-BracketsMatch(括号匹配)/BracketsMatch.cpp Normal file
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/***链栈实现括号匹配***/
#include<string>
#include<iostream>
using namespace std;
#include"LinkStack.h"
//算法3.11 括号的匹配
bool match(string exp)
{
//检验表达式(表达式以"#"结束)中所含"["和"]"、"("和")"是否匹配，如果匹配，则返回true，否则返回false。
//表达式以“#”结束
SNode<char> *S;
InitStack(S);
int flag=1; // 标记查找结果以控制循环及返回结果
char ch;
char e,x;
int i=0;
ch=exp[i++]; // 读入第一个字符
while(ch!='#' && flag)
{
switch (ch)
{
case '[':
case '(': // 若是左括号，则将其压入栈
cout<<"左括号进栈！"<<endl;
Push(S,ch);
break;
case ')' : // 若是右括号“)”，则根据栈顶元素的值分情况考虑
GetTop(S,e);
if (!StackEmpty(S) && e=='(' ) // 若栈非空且栈顶元素是“(”，则匹配成功
{
Pop(S,x);
cout<<"右括号出栈！"<<endl;
}
else
flag=0; // 若栈空或栈顶元素不是“(”，则非法
break;
case ']' : // 若是右括号“]”，则根据栈顶元素的值分情况考虑
GetTop(S,e);
if (!StackEmpty(S) && e=='[' ) // 若栈顶元素是“[”，则匹配成功
Pop(S,x);
else
flag=0; // 若栈空或栈顶元素不是“[”，则非法
break;
}//switch
ch=exp[i++]; //继续读入下一个字符
}//while
if (StackEmpty(S) && flag ) // 栈空且标志为true,括号匹配，返回true
return true;
else // 否则，括号不匹配,返回false
return false;
}//match
int main()
{
int flag;
string exp;
cout<<"请输入待匹配的表达式，以“#”结束："<<endl;
cin>>exp;
flag = match(exp);
if(flag)
cout<<"括号匹配成功！"<<endl;
else
cout<<"括号匹配失败！"<<endl;
return 0;
}//end of main function

92
OrigFiles/3-特殊线性表/3-BracketsMatch(括号匹配)/LinkStack.h Normal file
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template <class DT>
struct SNode //结点
{
DT data; //数据域，存储数据元素值
SNode *next;//指针域，指向下一个结点
};
//【算法3.6】
template <class DT>
void InitStack(SNode<DT> *&S)//创建空链栈
{
S=NULL;
}
//【算法3.7】
template <class DT>
void DestroyStack(SNode<DT> *(&S))//释放链栈
{
SNode<DT> *p;
while(S)//从头结点开始，依次释放结点
{
p=S;
S=S->next;
delete p;
}
//L=NULL;//头结点指向空
}
//【算法3.8】
template<class DT>
bool Push(SNode<DT> *&S,DT e)
{
SNode<DT> *p;
p=new SNode<DT>;
if(!p) return false; //创建失败，结束运行
p->data=e; // 新结点赋值
p->next=S; //结点S链接到p结点之后
S=p;
return true; // 插入成功，返回true
}
//【算法3.9】
template<class DT>
bool Pop(SNode<DT> *&S,DT &e)
{
SNode<DT> *p;
if(S==NULL) return false;
p=S;
e=p->data;
S=S->next;
delete p;
return true; // 删除成功，返回true
}
//【算法3.10】
template<class DT>
bool GetTop(SNode<DT> *S,DT &e)
{
SNode<DT> *p;
if(S==NULL) return false;
p=S;
e=p->data;
return true; // 删除成功，返回true
}
//测栈空
template<class DT>
bool StackEmpty(SNode<DT> *S)
{
if(S==NULL)
return true;
else
return false;
}
//显示栈内容
template<class DT>
void DispStack(SNode<DT> *S)
{
SNode<DT> *p;
p=S;
while(p)
{
cout<<p->data<<"\t";
p=p->next;
}
cout<<endl;
}

158
OrigFiles/3-特殊线性表/3-DancePartner(舞伴问题)/DancePartner.cpp Normal file
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#include<iostream>
#include<string>
using namespace std;
struct dancer // 舞者信息
{ string name; // 姓名
char sex; // 性别
};
struct Node // 队列结点
{ dancer data; // 数据域
Node* next; // 指针域，指向后继
}*front,*rear; // 队头、队尾
struct LinkQueue
{ Node *front;
Node *rear;
}; // 男队和女队
void InitialLinkQueue(LinkQueue &Q) // 初始化队列
{
Q.front=new Node;
Q.front->next=NULL;
Q.rear=Q.front;
}
void DestroyLinkQueue(LinkQueue &Q) // 销毁队列
{ Node *p;
while(Q.front!=NULL)
{ p=Q.front;
Q.front=Q.front->next;
delete p;
}
}
void EnQueue(LinkQueue &Q,dancer &e) // 入队
{
Node *s=new Node;
s->data=e;
s->next=Q.rear->next;
Q.rear->next=s;
Q.rear=s;
}
bool IsEmpty(LinkQueue Q) // 判队空
{
if (Q.front==Q.rear)
return true;
else
return false;
}
bool DeQueue(LinkQueue &Q,dancer &e) // 出队
{
Node *p;
if (IsEmpty(Q)) // 队空，
{
cout<<"队列为空，无法出队列！";
return false;
}
p=Q.front->next;
e=p->data;
Q.front->next=p->next;
if (p==Q.rear) // 只有一个元素，出队
Q.rear=Q.front; // 修改队尾指针
delete p;
return true;
}
bool GetHead(LinkQueue Q,dancer &e)
{ if(IsEmpty(Q)) // 队空
{
cout<< "队列为空，无法取得队首元素！";
return false;
}
e=Q.front->next->data; // 返回队头元素
return true;
}
void QueueTranverse(LinkQueue Q) // 遍历队
{ Node *p;
p=Q.front->next;
while(p!=NULL)
{ cout<<(p->data).name<<" ";
p=p->next;
}
cout<<endl;
}
void EntranHall(dancer person[],int num) // 舞者入场
{
int i;
for(i=0;i<num;i++)
{
cout<<"请输入第"<<i+1<<"个舞者性别(F(女) or M(男))及姓名:"<<endl;
cin>>person[i].sex;
cin>>person[i].name;
}
cout<<"现有舞者："<<endl;
for(i=0;i<num;i++)
{
cout<<i+1<<":"<<person[i].sex
<<","<<person[i].name<<endl;
}
}
//算法3.24
void DancePartner(dancer person[],int num)
{
dancer newdancer,m,f,p;
LinkQueue GenQueue;
LinkQueue LadyQueue;
InitialLinkQueue(GenQueue); // 初始化男队
InitialLinkQueue(LadyQueue); // 初始化女队
for(int i=0;i<num;i++) // 舞者入场
{ p=person[i];
if(p.sex=='F')
EnQueue(LadyQueue,p);
else
EnQueue(GenQueue,p);
}
while ( (!IsEmpty(GenQueue)) && (!IsEmpty(LadyQueue)) ) // 匹配舞者
{
DeQueue(GenQueue,m); // 女士出队
DeQueue(LadyQueue,f); // 男士出队
cout<<m.name <<"<---配对--->"<<f.name<<endl; // 男、女配队
}
if (!IsEmpty(GenQueue))
{
GetHead(GenQueue,m);
cout<<m.name<<"先生还在等着呢!"<<endl;
}
else if (!IsEmpty(LadyQueue))
{
GetHead(LadyQueue,f);
cout<<f.name<<"女士还在等着呢!"<<endl;
}
else
cout<<"配对完美结束!"<<endl;
DestroyLinkQueue(GenQueue); // 销毁队列
DestroyLinkQueue(LadyQueue);
}
int main()
{
dancer *person;
int num;
cout<<"请输入舞伴总数量:"<<endl;
cin>>num;
person=new dancer[num];
EntranHall(person, num); // 舞者入场
DancePartner(person,num); // 舞者匹配
return 0;
}

112
OrigFiles/3-特殊线性表/3-DancePartner(舞伴问题)/LinkQueue.h Normal file
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template <class DT>
struct QNode //结点
{
DT data; //数据域，存储数据元素值
QNode *next;//指针域，指向下一个结点
};
template<class DT>
struct LinkQueue
{
QNode<DT> * front;
QNode<DT> * rear;
};
//【算法3.19】
template <class DT>
void InitQueue(LinkQueue<DT> &Q)//创建空队列
{
Q.front=new QNode<DT>; //创建头结点
if(!Q.front) exit(1); //创建失败，结束运行
Q.front->next=NULL;
Q.rear=Q.front;
}
//【算法3.20】
template <class DT>
void DestroyQueue(LinkQueue<DT> &Q)//释放链队
{
QNode<DT> *p;
while(Q.front)//从头结点开始，依次释放结点
{
p=Q.front;
Q.front=Q.front->next;
delete p;
}
}
//【算法3.21】 入队
template<class DT>
bool EnQueue(LinkQueue<DT> &Q,DT e)
{
QNode<DT> *p;
p=new QNode<DT>; // 创建新结点
if(!p) return false; // 创建失败，结束运行
p->data=e; // 新结点赋值
p->next=NULL; // 链在队尾
Q.rear->next=p;
Q.rear=p;
return true; // 入队成功，返回true
}
//【算法3.22】 出队
template<class DT>
bool DeQueue(LinkQueue<DT> &Q,DT &e)
{
QNode<DT> *p;
if(Q.front==Q.rear) return false; //队空，返回false
p=Q.front->next; // 取出队元素
e=p->data;
Q.front->next=p->next; //队首元素出队
if(Q.rear==p) //只有一个元素时出队，
Q.rear=Q.front; // 修改队尾
delete p;
return true; // 出队成功，返回true
}
//【算法3.23】 取队头元素
template<class DT>
bool GetHead(LinkQueue<DT> Q,DT &e)
{
if(Q.front==Q.rear) return false; // 队空，返回false
e=Q.front->next->data;
return true; // 删除成功，返回true
}
//取队尾元素
template<class DT>
bool GetTail(LinkQueue<DT> Q,DT &e)
{
if(Q.front==Q.rear) // 队空
return false; // 返回false
e=Q.rear->data; // 获取队尾元素
return true; // 返回true
}
//测队空
template<class DT>
bool QueueEmpty(LinkQueue<DT> Q)
{
if(Q.front==Q.rear) // 队空
return true; //返回true
else //非空
return false; //返回false
}
//显示队列内容
template<class DT>
void DispQueue(LinkQueue<DT> Q)
{
QNode<DT> *p;
p=Q.front->next;
while(p)
{
cout<<p->data<<"\t";
p=p->next;
}
cout<<endl;
}

108
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#include<iostream> //cout,cin
using namespace std;
#include "LinkQueue.h"
void dispmenu()
{//显示主菜单
cout<<endl;
cout<<"1-初始化链队\n";
cout<<"2-元素入队\n";
cout<<"3-元素出队\n";
cout<<"4-取队头元素\n";
cout<<"5-取队尾元素\n";
cout<<"6-清空队\n";
cout<<"7-测队空\n";
cout<<"8-显示队列元素\n";
cout<<"0-退出\n";
}
char pause;
//主函数
int main()
{
int e;
LinkQueue<int> Q;
system("cls"); // 执行系统命令cls，清屏
int choice;
do
{
dispmenu(); // 显示主菜单
cout<<"功能选择(1~8，0 退出):";
cin>>choice;
switch(choice)
{
case 1: // 初始化链队
InitQueue(Q);
cout<<endl<<"创建成功！"<<endl;
break;
case 2: //入队
cout<<"输入要插入的元素值："<<endl;
cin>>e;
cout<<endl;
if(EnQueue(Q,e))
{
cout<<endl<<"入队成功！队列元素为："<<endl;
DispQueue(Q);
}
else
cout<<endl<<"入队不成功！"<<endl;
break;
case 3: // 出队
if(DeQueue(Q,e))
{
cout<<endl<<"出队成功！出队元素为:"<<e<<endl;
cout<<endl<<"出队后，队列元素为："<<endl;
DispQueue(Q);
}
else
cout<<endl<<"队空，出队失败！"<<endl;
break;
case 4: // 获取队头元素
if(GetHead(Q,e))
{
cout<<"队列元素为："<<endl;
DispQueue(Q);
cout<<endl<<"队头元素为:"<<e<<endl;
}
else
cout<<endl<<"队空！"<<endl;
break;
case 5: // 获取队尾元素
if(GetTail(Q,e))
{
cout<<"队列元素为："<<endl;
DispQueue(Q);
cout<<endl<<"队尾元素为:"<<e<<endl;
}
else
cout<<endl<<"队空！"<<endl;
break;
case 6: // 清空队
ClearQueue(Q);
cout<<endl<<"队已空!"<<endl;
case 7: // 测队空
if(QueueEmpty(Q))
cout<<endl<<"空队！"<<endl;
else
cout<<endl<<"不是空队！"<<endl;
break;
case 8: // 查看队列元素
DispQueue(Q);
cout<<endl;
break;
case 0: // 退出
DestroyQueue(Q);
cout<<"结束运行Bye-bye!"<<endl;
break;
default: // 无效选择
cout<<"无效选择!\n";
break;
}
}while(choice!=0);
return 0;
}//end of main function

127
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template <class DT>
struct QNode //结点
{
DT data; //数据域，存储数据元素值
QNode *next;//指针域，指向下一个结点
};
template<class DT>
struct LinkQueue
{
QNode<DT> * front;
QNode<DT> * rear;
};
//【算法3.19】
template <class DT>
void InitQueue(LinkQueue<DT> &Q)//创建空队列
{
Q.front=new QNode<DT>; //创建头结点
if(!Q.front) exit(1); //创建失败，结束运行
Q.front->next=NULL;
Q.rear=Q.front;
}
//【算法3.20】
template <class DT>
void DestroyQueue(LinkQueue<DT> &Q)//释放链队
{
QNode<DT> *p;
while(Q.front)//从头结点开始，依次释放结点
{
p=Q.front;
Q.front=Q.front->next;
delete p;
}
Q.rear=Q.front=NULL;
}
template <class DT>
void ClearQueue(LinkQueue<DT> &Q) // 清空链队
{
QNode<DT> *p;
while(Q.front->next) //从队头开始，依次释放结点
{
p=Q.front->next;
Q.front->next=p->next;
delete p;
}
Q.front->next=NULL; // 空队
Q.rear=Q.front;
}
//【算法3.21】 入队
template<class DT>
bool EnQueue(LinkQueue<DT> &Q,DT e)
{
QNode<DT> *p;
p=new QNode<DT>; // 创建新结点
if(!p) return false; // 创建失败，结束运行
p->data=e; // 新结点赋值
p->next=NULL; // 链在队尾
Q.rear->next=p;
Q.rear=p;
return true; // 入队成功，返回true
}
//【算法3.22】 出队
template<class DT>
bool DeQueue(LinkQueue<DT> &Q,DT &e)
{
QNode<DT> *p;
if(Q.front==Q.rear) return false; //队空，返回false
p=Q.front->next; // 取出队元素
e=p->data;
Q.front->next=p->next; //队首元素出队
if(Q.rear==p) //只有一个元素时出队，
Q.rear=Q.front; // 修改队尾
delete p;
return true; // 出队成功，返回true
}
//【算法3.23】 取队头元素
template<class DT>
bool GetHead(LinkQueue<DT> Q,DT &e)
{
if(Q.front==Q.rear) return false; // 队空，返回false
e=Q.front->next->data;
return true; // 删除成功，返回true
}
//取队尾元素
template<class DT>
bool GetTail(LinkQueue<DT> Q,DT &e)
{
if(Q.front==Q.rear) // 队空
return false; // 返回false
e=Q.rear->data; // 获取队尾元素
return true; // 返回true
}
//测队空
template<class DT>
bool QueueEmpty(LinkQueue<DT> Q)
{
if(Q.front==Q.rear) // 队空
return true; //返回true
else //非空
return false; //返回false
}
//显示队列内容
template<class DT>
void DispQueue(LinkQueue<DT> Q)
{
QNode<DT> *p;
p=Q.front->next;
while(p)
{
cout<<p->data<<"\t";
p=p->next;
}
cout<<endl;
}

93
OrigFiles/3-特殊线性表/3-LinkStack（链栈）/LinkStack.cpp Normal file
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#include<iostream> //cout,cin
using namespace std;
#include "LinkStack.h"
void dispmenu()
{//显示主菜单
cout<<endl;
cout<<"1-初始化链栈\n";
cout<<"2-元素入栈\n";
cout<<"3-元素出栈\n";
cout<<"4-取栈顶元素\n";
cout<<"5-清空栈\n";
cout<<"6-测栈空\n";
cout<<"7-显示栈元素\n";
cout<<"0-退出\n";
}
//主函数
int main()
{
int e;
SNode<int> * S;
system("cls"); // 清屏
int choice;
do
{
dispmenu(); //显示主菜单
cout<<"Enter choice(1~6，0 退出):";
cin>>choice;
switch(choice)
{
case 1: //初始化链栈
InitStack(S);
cout<<endl<<"创建成功！"<<endl;
break;
case 2: //入栈
cout<<"输入要入栈的元素值："<<endl;
cin>>e;
cout<<endl;
if(Push(S,e))
{
cout<<endl<<"入栈成功！栈中元素为："<<endl;
DispStack(S);
}
else
cout<<endl<<"入栈不成功！"<<endl;
break;
case 3: //出栈
if(Pop(S,e))
{
cout<<endl<<"出栈成功！出栈元素为:"<<e<<endl;
cout<<"出栈后，栈中元素为"<<endl;
DispStack(S);
}
else
cout<<endl<<"栈空，出栈失败！"<<endl;
break;
case 4: //获取栈顶元素
if(GetTop(S,e))
{
cout<<endl<<"栈顶元素为:"<<e<<endl;
}
else
cout<<endl<<"栈空！"<<endl;
break;
case 5: // 清空栈
DestroyStack(S);
cout<<"栈已清空!"<<endl;
break;
case 6: //测栈空
if(StackEmpty(S))
cout<<endl<<"空栈！"<<endl;
else
cout<<endl<<"不是空栈！"<<endl;
break;
case 7: //显示栈元素
DispStack(S);
cout<<endl;
break;
case 0: //退出
DestroyStack(S);
cout<<"结束运行Bye-bye!"<<endl;
break;
default: //非法选择
cout<<"无效选择!\n";
break;
}
}while(choice!=0);
return 0;
}//end of main function

96
OrigFiles/3-特殊线性表/3-LinkStack（链栈）/LinkStack.h Normal file
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template <class DT>
struct SNode // 结点
{
DT data; // 数据域，存储数据元素值
SNode *next; // 指针域，指向下一个结点
};
//【算法3.6】
template <class DT>
bool InitStack(SNode<DT> *&S) // 创建空链栈
{
S=NULL;
return true;
}
//【算法3.7】
template <class DT>
void DestroyStack(SNode<DT> *(&S)) // 释放链栈所占内存
{
SNode<DT> *p;
while(S) //从头结点开始，依次释放结点
{
p=S;
S=S->next;
delete p;
}
S=NULL;
}
//【算法3.8】
template<class DT>
bool Push(SNode<DT> *&S,DT e)
{
SNode<DT> *p;
p=new SNode<DT>;
if(!p)
return false; //创建失败，结束运行
p->data=e; // 新结点赋值
p->next=S; //结点S链接到p结点之后
S=p;
return true; // 插入成功，返回true
}
//【算法3.9】
template<class DT>
bool Pop(SNode<DT> *&S,DT &e)
{
SNode<DT> *p;
if(S==NULL) return false;
p=S;
e=p->data;
S=S->next;
delete p;
return true; // 删除成功，返回true
}
//【算法3.10】
template<class DT>
bool GetTop(SNode<DT> *S,DT &e)
{
SNode<DT> *p;
if(S==NULL) return false;
p=S;
e=p->data;
return true; // 删除成功，返回true
}
//测栈空
template<class DT>
bool StackEmpty(SNode<DT> *S)
{
if(S==NULL)
return true;
else
return false;
}
//显示栈内容
template<class DT>
void DispStack(SNode<DT> *S)
{
SNode<DT> *p;
p=S;
while(p)
{
cout<<p->data<<"\t";
p=p->next;
}
cout<<endl;
}

126
OrigFiles/3-特殊线性表/3-SqQueue（循环队列）/SqQueue.cpp Normal file
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#include<iostream>//cout,cin
using namespace std;
#include "SqQueue.h"
char pause;
void dispmenu() //菜单
{
cout<<endl;
cout<<"1-初始化顺序队列\n";
cout<<"2-元素入队\n";
cout<<"3-元素出队\n";
cout<<"4-取队头元素\n";
cout<<"5-取队尾元素\n";
cout<<"6-清空队\n";
cout<<"7-测队空\n";
cout<<"8-测队满\n";
cout<<"9-显示队列元素\n";
cout<<"10-显示队头、队尾指针\n";
cout<<"0-退出\n";
}
//主函数
int main()
{
int i;
int e;
SqQueue<int> Q; // 元素类型为整型的顺序队列
system("cls"); // 清屏
int choice;
do
{
dispmenu(); //显示主菜单
cout<<"功能选择(1~10，0 退出！):";
cin>>choice;
switch(choice)
{
case 1: // 初始化顺序队列
cout<<"请输入要创建的顺序队列的长度";
cin>>i;
cout<<endl;
InitQueue (Q,i);
cout<<endl<<"创建成功！"<<endl;
break;
case 2: // 入队
cout<<"输入要入队的元素值："<<endl;
cin>>e;
cout<<endl;
if(EnQueue(Q,e))
{
cout<<endl<<"入队成功！入队后队列元素为："<<endl;
DispQueue(Q);
}
else
cout<<endl<<"队满，不能入队！"<<endl;
break;
case 3: // 出队
if(DeQueue(Q,e))
{
cout<<endl<<"队列元素为：";
DispQueue(Q);
cout<<endl<<"出队元素为:"<<e<<endl;
}
else
cout<<endl<<"队空，不能出队！"<<endl;
break;
case 4: // 取队头元素
if(GetHead(Q,e))
{
cout<<endl<<"队列元素为：";
DispQueue(Q);
cout<<endl<<"队头元素为:"<<e<<endl;
}
else
cout<<endl<<"队空！"<<endl;
break;
case 5: // 取队尾元素
if(GetTail(Q,e))
{
cout<<endl<<"队列元素为：";
DispQueue(Q);
cout<<endl<<"队尾元素为:"<<e<<endl;
}
else
cout<<endl<<"队空！无数据元素"<<endl;
break;
case 6: // 清空队
ClearQueue(Q);
cout<<"队已清空!"<<endl;
break;
case 7: // 测队空
if(QueueEmpty(Q))
cout<<endl<<"空队！"<<endl;
else
cout<<endl<<"非空队！"<<endl;
break;
case 8: // 测队满
if(QueueFull(Q))
cout<<endl<<"满队！"<<endl;
else
cout<<endl<<"非满队！"<<endl;
break;
case 9: // 显示队列元素
DispQueue(Q);
cout<<endl;
break;
case 10:
cout<<"\nQ.fornt="<<Q.front<<endl;
cout<<"Q.rear="<<Q.rear<<endl;
break;
case 0: // 退出
DestroyQueue(Q);
cout<<"结束运行Bye-bye!"<<endl;
break;
default: // 无效选择
cout<<"无效选择!\n";
break;
}
}while(choice!=0);
return 0;
}//end of main function

113
OrigFiles/3-特殊线性表/3-SqStack(顺序栈）/SqStack.cpp Normal file
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#include<iostream>//cout,cin
using namespace std;
#include "SqStack.h"
char pause;
void dispmenu()
{ //显示主菜单
cout<<endl;
cout<<"1-初始化顺序栈\n";
cout<<"2-元素入栈\n";
cout<<"3-元素出栈\n";
cout<<"4-取栈顶元素\n";
cout<<"5-清空栈\n";
cout<<"6-测栈空\n";
cout<<"7-测栈满\n";
cout<<"8-显示栈元素\n";
cout<<"9-查看栈顶指针\n";
cout<<"0-退出\n";
}
//主函数
int main()
{
int i;
int e;
SqStack<int> S;//建立容量为20、元素类型为整型的空顺序栈
system("cls"); // 清屏
int choice;
do
{
dispmenu(); // 显示主菜单
cout<<"Enter choice(1~6，0 退出):";
cin>>choice;
switch(choice)
{
case 1: // 初始化顺序栈
cout<<"请输入要创建的顺序栈的长度";
cin>>i;
cout<<endl;
InitStack (S,i);
cout<<endl<<"创建成功！"<<endl;
break;
case 2: // 入栈
cout<<"输入要入栈的元素值："<<endl;
cin>>e;
if(Push(S,e))
{
cout<<"入栈成功！入栈后栈元素为："<<endl;
DispStack(S);
}
else
cout<<endl<<"栈满，不能入栈！"<<endl;
break;
case 3: // 出栈
if(Pop(S,e))
{
cout<<"出栈成功！出栈元素为:"<<e<<endl;
cout<<"出栈后栈元素为："<<endl;
DispStack(S);
}
else
cout<<endl<<"栈空，出栈失败！"<<endl;
break;
case 4: // 取栈顶元素
if(GetTop(S,e))
{
cout<<endl<<"栈顶元素为:"<<e<<endl;
}
else
cout<<endl<<"栈空！"<<endl;
break;
case 5: // 清空栈
ClearStack(S);
cout<<endl<<"栈已空！"<<endl;
break;
case 6: // 测栈空
if(StackEmpty(S))
cout<<endl<<"空栈！"<<endl;
else
cout<<endl<<"不是空栈！"<<endl;
break;
case 7: // 测栈满
if(StackFull(S))
cout<<endl<<"栈满！"<<endl;
else
cout<<endl<<"栈不满！"<<endl;
break;
case 8: // 显示栈元素
DispStack(S);
cout<<endl;
break;
case 9: // 显示栈顶指针
cout<<"栈顶指针top= "<<S.top<<endl;
cout<<endl;
break;
case 0: // 退出
DestroyStack(S);
cout<<"结束运行 Bye-bye!"<<endl;
break;
default: // 无效选择
cout<<"无效选择!\n";
break;
}
}while(choice!=0);
return 0;
}//end of main function

107
OrigFiles/3-特殊线性表/3-SqStack(顺序栈）/SqStack.h Normal file
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template <class DT>
struct SqStack // 顺序栈
{
DT *base; // 栈首址
int top; // 栈顶指针
int stacksize; // 栈容量
};
//基本操作的实现
//【算法3.1】 // 初始化栈
template <class DT>
void InitStack(SqStack<DT> &S, int m)
{
S.base=new DT[m]; // 申请栈空间
if(S.base==NULL) // 申请失败，退出
{
cout<<"未创建成功！";
exit (1);
}
S.top=-1; // 设置空栈属性
S.stacksize=m;
}
//算法3.2】 // 销毁栈
template <class DT>
void DestroyStack(SqStack<DT> &S)
{
delete [] S.base; // 释放栈空间
S.top=-1;
S.stacksize=0; // 设置栈属性
}
//【算法3.3】 // 入栈
template<class DT>
bool Push(SqStack<DT> &S,DT e)
{
if(S.top==S.stacksize-1) // 栈满，不能入栈
return false; // 返回false
S.top++;
S.base[S.top]=e;
return true; // 入栈成功，返回true
}
//【算法3.4】 // 出栈
template<class DT>
bool Pop(SqStack<DT> &S,DT &e)
{
if(S.top==-1) // 栈空
return false; // 返回false
e=S.base[S.top]; // 取栈顶元素
S.top--; // 栈顶指针下移
return true; // 出栈成功，返回true
}
//【算法3.5】 // 获取栈顶元素
template<class DT>
bool GetTop(SqStack<DT> S,DT &e)
{
if(S.top==-1) // 栈空
return false; // 返回false
e=S.base[S.top]; // 栈非空，取栈顶元素
return true; // 返回true
}
// 测栈空
template<class DT>
bool StackEmpty(SqStack<DT> S)
{
if(S.top==-1) // 空栈，返回true
return true;
else // 空栈，返回false
return false;
}
//显示栈内容
template<class DT>
void DispStack(SqStack<DT> S)
{
int i=S.top;
while(i>=0)
{
cout<<S.base[i--]<<"\t";
}
cout<<endl;
}
template<class DT>
void ClearStack(SqStack<DT> &S)
{
S.top=-1;
}
template<class DT>
int StackFull(SqStack<DT> S)
{
if(S.top==S.stacksize-1)
return 1;
else
return 0;
}

282
OrigFiles/3-特殊线性表/3-ValExpression（表达式计算）/Expresion.cpp Normal file
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#include<iostream> //cout,cin
using namespace std;
#include"SqStack.h"
char pause;
char Precede(char t1,char t2) //算符的优先级比较
{
char f;
switch(t2)
{
case '+':
case '-':if(t1=='('||t1=='=')
f='<';
else
f='>';
break;
case '*':
case '/':if(t1=='*'||t1=='/'||t1==')')
f='>';
else
f='<';
break;
case '(':if(t1==')')
{
cout<<"ERROR1"<<endl;
exit(0);
}
else
f='<';
break;
case ')':switch(t1)
{
case '(':f='=';
break;
case '=':cout<<"ERROR2"<<endl;
exit(0);
default: f='>';
}
break;
case '=':switch(t1)
{
case '=':f='=';
break;
case '(':cout<<"ERROR2"<<endl;
exit(0);
default: f='>';
}
}
return f;
}
bool In(char ch) // 判断 ch 是否为运算符
{
switch(ch)
{
case'+':
case'-':
case'*':
case'/':
case'(':
case')':
case'=':return true;
default:return false;
}
}
float Operate(float a,char theta,float b)
{ // 实施一次运算
float ch;
switch(theta)
{
case'+':ch=a+b;
break;
case'-':ch=a-b;
break;
case'*':ch=a*b;
break;
case'/':ch=a/b;
}
return ch;
}
//算法3.12
float Val_Exp(char *exp) // 中缀表达式求值。
{
SqStack<char> OP; // 运算符栈
SqStack<float> OD; // 运算数栈
InitStack(OP,30);
InitStack(OD,30);
char theta;
float a,b,result;
char ch,x; // 存放由键盘接收的字符
char z[6]; // 存放符点数字符串
int i;
Push(OP,'='); // # 是表达式结束标志
ch=*exp++;
GetTop(OP,x);
while(ch!='='||x!='=')
{
if(ch>='0'&&ch<='9'||ch=='.') // ch 是操作数
{
i=0;
do
{
z[i]=ch;
i++;
ch=*exp++;
} while(ch>='0'&&ch<='9'||ch=='.');
z[i]='\0';
result=atof(z); // 将字符串数组转为符点型存于result
Push(OD,result);
}
else if(In(ch)) // 是7种运算符之一
switch(Precede(x,ch))
{
case'<':Push(OP,ch); // 栈顶元素优先权低
ch=*exp++;
break;
case'=':Pop(OP,x); // 脱括号并接收下一字符
ch=*exp++;
break;
case'>':Pop(OP,theta); // 退栈并将运算结果入栈
Pop(OD,b);
Pop(OD,a);
Push(OD,Operate(a,theta,b));
}
else // ch是非法字符
{
cout<<"ERROR3"<<endl;;
exit(0);
}
GetTop(OP,x);
}
GetTop(OD,result);
DestroyStack(OP);
DestroyStack(OD);
return result;
}
void CreatePostExp(char * exp,char * &postexp) // 由中缀式求后缀式
{
char ch,x;
int i=0;
SqStack<char> OP;
InitStack(OP,30);
Push(OP,'='); // # 是表达式结束标志
cout<<"中缀表达式："<<exp<<endl;
ch=*exp++;
while(ch)
{
if((ch>='0'&&ch<='9')||ch=='.')
{
postexp[i++]=ch;
ch=*exp++;
}
if(In(ch)) // 是7种运算符之一
{
postexp[i++]=' ';
GetTop(OP,x);
switch(Precede(x,ch))
{
case'<':Push(OP,ch); // 栈顶元素优先权低
ch=*exp++;
break;
case'=':Pop(OP,x); // 脱括号并接收下一字符
ch=*exp++;
break;
case'>':
Pop(OP,postexp[i++]); // 运算符出栈输出
break;
}
}
postexp[i]='\0';
}//while
cout<<"\n后缀表达式为:"<<postexp<<endl;
DestroyStack(OP);
}
//算法3.13
float Val_PostExp(char *postexp) // 后缀表达式求值
{
int i;
char z[6];
float result=0,d=0,a,b;
char ch;
SqStack<float> OD;
InitStack(OD,30);
ch=*postexp++;
while(ch!='\0')
{
if(ch>='0'&&ch<='9'||ch=='.') // ch为操作数符号
{
i=0;
do
{
z[i++]=ch;
ch=*postexp++; // 取下一个操作数符号
} while(ch>='0'&&ch<='9'||ch=='.');
z[i]='\0';
d=atof(z); // 将字符串数组转为符点型存于result
Push(OD,d); // 操作数进栈
}
if(In(ch)) // ch为运算符
{
Pop (OD,a);
Pop (OD,b);
Push (OD,Operate(b,ch,a));
ch=*postexp++;
}
ch=*postexp++;
}
Pop (OD,result);
DestroyStack(OD);
return result;
}
//主函数
void main()
{
//int i;
char exp[20]="(2.2+5)+4*(5-3.1)=";
char *postexp;
postexp=new char[30];
*postexp='\0';
float v;
system("cls"); // 清屏
cout<<"\n缺省表达式："<<exp;
cout<<endl;
int choice;
do
{ // 显示主菜单
cout<<endl;
cout<<"1-创建表达式\n";
cout<<"2-表达式求值\n";
cout<<"3-求后缀表达式\n";
cout<<"4-后缀表达式求值\n";
cout<<"5-显示表达式\n";
cout<<"0-退出\n";
cout<<"输入功能选项（1~5，0 退出）:\n";
cin>>choice;
switch(choice)
{
case 1: // 创建表达式
cout<<"\n请输入表达式，以=结束"<<endl;
cin>>exp;
break;
case 2: // 表达式求值
v=Val_Exp(exp) ;
cout<<exp;
cout<<v<<endl;
break;
case 3: // 求后缀表达式
CreatePostExp(exp,postexp);
break;
case 4: // 后缀表达式求值
v=Val_PostExp(postexp);
cout<<'\n'<<postexp<<"="<<v<<endl;
break;
case 5: // 显示表达式
cout<<endl;
cout<<"\n已创建的表达式为：";
cout<<exp<<endl;
if(strlen(postexp))
{
cout<<"\n后缀表达式为：";
cout<<postexp<<endl;
}
break;
case 0: // 退出
cout<<"\n结束运行，Bye-Bye!"<<endl;
break;
default://
cout<<"\n无效选择!\n";
break;
}
}while(choice!=0);
}//end main

89
OrigFiles/3-特殊线性表/3-ValExpression（表达式计算）/SqStack.h Normal file
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template <class DT>
struct SqStack // 顺序栈
{
DT *base; // 栈首址
int top; // 栈顶指针
int stacksize; // 栈容量
};
//基本操作的实现
//【算法3.1】 // 初始化栈
template <class DT>
void InitStack(SqStack<DT> &S, int m)
{
S.base=new DT[m]; // 申请栈空间
if(S.base==NULL) // 申请失败，退出
{
cout<<"未创建成功！";
exit (1);
}
S.top=-1; // 设置空栈属性
S.stacksize=m;
}
//算法3.2】 // 销毁栈
template <class DT>
void DestroyStack(SqStack<DT> &S)
{
delete [] S.base; // 释放栈空间
S.top=-1;
S.stacksize=0; // 设置栈属性
}
//【算法3.3】 // 入栈
template<class DT>
bool Push(SqStack<DT> &S,DT e)
{
if(S.top==S.stacksize-1) // 栈满，不能入栈
return false; // 返回false
S.top++;
S.base[S.top]=e;
return true; // 入栈成功，返回true
}
//【算法3.4】 // 出栈
template<class DT>
bool Pop(SqStack<DT> &S,DT &e)
{
if(S.top==-1) // 栈空
return false; // 返回false
e=S.base[S.top]; // 取栈顶元素
S.top--; // 栈顶指针下移
return true; // 出栈成功，返回true
}
//【算法3.5】 // 获取栈顶元素
template<class DT>
bool GetTop(SqStack<DT> S,DT &e)
{
if(S.top==-1) // 栈空
return false; // 返回false
e=S.base[S.top]; // 栈非空，取栈顶元素
return true; // 返回true
}
// 测栈空
template<class DT>
bool StackEmpty(SqStack<DT> S)
{
if(S.top==-1) // 空栈，返回true
return true;
else // 空栈，返回false
return false;
}
//显示栈内容
template<class DT>
void DispStack(SqStack<DT> S)
{
int i=S.top;
while(i>=0)
{
cout<<S.base[i--]<<"\t";
}
cout<<endl;
}