本文详细介绍了一系列数据结构，包括顺序表、链表、栈、队列等基本概念与实现原理，并进一步探讨了二叉树、图、排序算法等高级主题。
目 录
1、顺序表
Seqlist.h
const int DefaultSize=100;
template <typename Type> class SeqList{
public:
SeqList(int sz=DefaultSize)
:m_nmaxsize(sz),m_ncurrentsize(-1){
if(sz>0){
m_elements=newType[m_nmaxsize];
}
}
~SeqList(){
delete[] m_elements;
}
int Length() const{ //get the length
return m_ncurrentsize+1;
}
int Find(Type x) const; //find the position of x
int IsElement(Type x) const; //is it in the list
int Insert(Type x,int i); //insert data
int Remove(Type x); //deletedata
int IsEmpty(){
return m_ncurrentsize==-1;
}
int IsFull(){
returnm_ncurrentsize==m_nmaxsize-1;
}
Type Get(int i){ //get theith data
returni<0||i>m_ncurrentsize?(cout<<"can'tfind the element"<<endl,0):m_elements[i];
}
void Print();
private:
Type *m_elements;
const intm_nmaxsize;
int m_ncurrentsize;
};
template <typename Type> int SeqList<Type>::Find(Type x) const{
for(inti=0;i<m_ncurrentsize;i++)
if(m_elements[i]==x)
return i;
cout<<"can't find theelement you want to find"<<endl;
return -1;
}
template <typename Type> int SeqList<Type>::IsElement(Type x) const{
if(Find(x)==-1)
return 0;
return 1;
}
template <typename Type> int SeqList<Type>::Insert(Type x, int i){
if(i<0||i>m_ncurrentsize+1||m_ncurrentsize==m_nmaxsize-1){
cout<<"the operate isillegal"<<endl;
return 0;
}
m_ncurrentsize++;
for(intj=m_ncurrentsize;j>i;j--){
m_elements[j]=m_elements[j-1];
}
m_elements[i]=x;
return 1;
}
template <typename Type> int SeqList<Type>::Remove(Type x){
int size=m_ncurrentsize;
for(inti=0;i<m_ncurrentsize;){
if(m_elements[i]==x){
for(intj=i;j<m_ncurrentsize;j++){
m_elements[j]=m_elements[j+1];
}
m_ncurrentsize--;
continue;
}
i++;
}
if(size==m_ncurrentsize){
cout<<"can't find theelement you want to remove"<<endl;
return 0;
}
return 1;
}
template <typename Type> void SeqList<Type>::Print(){
for(inti=0;i<=m_ncurrentsize;i++)
cout<<i+1<<":\t"<<m_elements[i]<<endl;
cout<<endl<<endl;
}
Test.cpp
#include <iostream>
#include "SeqList.h"
using namespace std;
int main()
{
SeqList<int> test(15);
int array[15]={2,5,8,1,9,9,7,6,4,3,2,9,7,7,9};
for(inti=0;i<15;i++){
test.Insert(array[i],0);
}
test.Insert(1,0);
cout<<(test.Find(0)?"can'tbe found ":"Be found ")<<0 << endl<<endl;
test.Remove(7);
test.Print();
test.Remove(9);
test.Print();
test.Remove(0);
test.Print();
return 0;
}
2、单链表
ListNode.h
template<typename Type> class SingleList;
template<typename Type> class ListNode{
private:
friend typenameSingleList<Type>;
ListNode():m_pnext(NULL){}
ListNode(const Typeitem,ListNode<Type> *next=NULL):m_data(item),m_pnext(next){}
~ListNode(){
m_pnext=NULL;
}
public:
Type GetData();
friend ostream& operator<< <Type>(ostream&,ListNode<Type>&);
private:
Type m_data;
ListNode *m_pnext;
};
template<typename Type>Type ListNode<Type>::GetData(){
return this->m_data;
}
template<typename Type>ostream& operator<<(ostream&os,ListNode<Type>& out){
os<<out.m_data;
return os;
}
SingleList.h
#include "ListNode.h"
template<typename Type> class SingleList{
public:
SingleList():head(newListNode<Type>()){}
~SingleList(){
MakeEmpty();
delete head;
}
public:
void MakeEmpty(); //makethe list empty
int Length(); //get the length
ListNode<Type> *Find(Type value,intn); //find thd nth data which is equal to value
ListNode<Type> *Find(intn); //findthe nth data
bool Insert(Type item,int n=0); //insert the data in the nth position
Type Remove(int n=0); //removethe nth data
bool RemoveAll(Type item); //removeall the data which is equal to item
Type Get(int n); //get the nth data
void Print(); //print the list
private:
ListNode<Type> *head;
};
template<typename Type> void SingleList<Type>::MakeEmpty(){
ListNode<Type> *pdel;
while(head->m_pnext!=NULL){
pdel=head->m_pnext;
head->m_pnext=pdel->m_pnext;
delete pdel;
}
}
template<typename Type> int SingleList<Type>::Length(){
ListNode<Type> *pmove=head->m_pnext;
int count=0;
while(pmove!=NULL){
pmove=pmove->m_pnext;
count++;
}
return count;
}
template<typename Type>ListNode<Type>* SingleList<Type>::Find(intn){
if(n<0){
cout<<"The n is out ofboundary"<<endl;
return NULL;
}
ListNode<Type> *pmove=head->m_pnext;
for(inti=0;i<n&&pmove;i++){
pmove=pmove->m_pnext;
}
if(pmove==NULL){
cout<<"The n is out ofboundary"<<endl;
return NULL;
}
return pmove;
}
template<typename Type>ListNode<Type>* SingleList<Type>::Find(Type value,int n){
if(n<1){
cout<<"The n isillegal"<<endl;
return NULL;
}
ListNode<Type> *pmove=head;
int count=0;
while(count!=n&&pmove){
pmove=pmove->m_pnext;
if(pmove->m_data==value){
count++;
}
}
if(pmove==NULL){
cout<<"can't find theelement"<<endl;
return NULL;
}
return pmove;
}
template<typename Type> bool SingleList<Type>::Insert(Type item, int n){
if(n<0){
cout<<"The n isillegal"<<endl;
return 0;
}
ListNode<Type> *pmove=head;
ListNode<Type> *pnode=newListNode<Type>(item);
if(pnode==NULL){
cout<<"Applicationerror!"<<endl;
return 0;
}
for(inti=0;i<n&&pmove;i++){
pmove=pmove->m_pnext;
}
if(pmove==NULL){
cout<<"the n isillegal"<<endl;
return 0;
}
pnode->m_pnext=pmove->m_pnext;
pmove->m_pnext=pnode;
return 1;
}
template<typename Type> bool SingleList<Type>::RemoveAll(Type item){
ListNode<Type> *pmove=head;
ListNode<Type> *pdel=head->m_pnext;
while(pdel!=NULL){
if(pdel->m_data==item){
pmove->m_pnext=pdel->m_pnext;
delete pdel;
pdel=pmove->m_pnext;
continue;
}
pmove=pmove->m_pnext;
pdel=pdel->m_pnext;
}
return 1;
}
template<typename Type>Type SingleList<Type>::Remove(int n){
if(n<0){
cout<<"can't find theelement"<<endl;
exit(1);
}
ListNode<Type> *pmove=head,*pdel;
for(inti=0;i<n&&pmove->m_pnext;i++){
pmove=pmove->m_pnext;
}
if(pmove->m_pnext==NULL){
cout<<"can't find theelement"<<endl;
exit(1);
}
pdel=pmove->m_pnext;
pmove->m_pnext=pdel->m_pnext;
Type temp=pdel->m_data;
delete pdel;
return temp;
}
template<typename Type>Type SingleList<Type>::Get(int n){
if(n<0){
cout<<"The n is out ofboundary"<<endl;
exit(1);
}
ListNode<Type> *pmove=head->m_pnext;
for(inti=0;i<n;i++){
pmove=pmove->m_pnext;
if(NULL==pmove){
cout<<"The n is out of boundary"<<endl;
exit(1);
}
}
return pmove->m_data;
}
template<typename Type> void SingleList<Type>::Print(){
ListNode<Type> *pmove=head->m_pnext;
cout<<"head";
while(pmove){
cout<<"--->"<<pmove->m_data;
pmove=pmove->m_pnext;
}
cout<<"--->over"<<endl<<endl<<endl;
}
test.cpp
#include <iostream>
using namespace std;
#include "SingleList.h"
int main()
{
SingleList<int> list;
for(inti=0;i<20;i++){
list.Insert(i*3,i);
}
for(inti=0;i<5;i++){
list.Insert(3,i*3);
}
cout<<"the Length of thelist is "<<list.Length()<<endl;
list.Print();
list.Remove(5);
cout<<"the Length of thelist is "<<list.Length()<<endl;
list.Print();
list.RemoveAll(3);
cout<<"the Length of thelist is "<<list.Length()<<endl;
list.Print();
cout<<"The third element is"<<list.Get(3)<<endl;
cout<<*list.Find(18,1)<<endl;
list.Find(100);
list.MakeEmpty();
cout<<"the Length of thelist is "<<list.Length()<<endl;
list.Print();
return 0;
}
3、双向链表
NodeList.h
template<typename Type> class DoublyList;
template<typename Type> class ListNode{
private:
friend classDoublyList<Type>;
ListNode():m_pprior(NULL),m_pnext(NULL){}
ListNode(const Typeitem,ListNode<Type> *prior=NULL,ListNode<Type> *next=NULL)
:m_data(item),m_pprior(prior),m_pnext(next){}
~ListNode(){
m_pprior=NULL;
m_pnext=NULL;
}
public:
Type GetData();
private:
Type m_data;
ListNode *m_pprior;
ListNode *m_pnext;
};
template<typename Type>Type ListNode<Type>::GetData(){
return this->m_data;
}
DoubleList.h
#include "ListNode.h"
template<typename Type> class DoublyList{
public:
DoublyList():head(newListNode<Type>()){ //the head node point to itself
head->m_pprior=head;
head->m_pnext=head;
}
~DoublyList(){
MakeEmpty();
delete head;
}
public:
void MakeEmpty(); //make the listempty
int Length(); //get thelength of the list
ListNode<Type> *Find(intn=0); //findthe nth data
ListNode<Type> * FindData(Type item); //find the datawhich is equal to item
bool Insert(Type item,int n=0); //insert item in the nth data
Type Remove(int n=0); //delete the nthdata
Type Get(int n=0); //get the nthdata
void Print(); //printthe list
private:
ListNode<Type> *head;
};
template<typename Type> void DoublyList<Type>::MakeEmpty(){
ListNode<Type> *pmove=head->m_pnext,*pdel;
while(pmove!=head){
pdel=pmove;
pmove=pdel->m_pnext;
delete pdel;
}
head->m_pnext=head;
head->m_pprior=head;
}
template<typename Type> int DoublyList<Type>::Length(){
ListNode<Type> *pprior=head->m_pprior,*pnext=head->m_pnext;
int count=0;
while(1){
if(pprior->m_pnext==pnext){
break;
}
if(pprior==pnext&&pprior!=head){
count++;
break;
}
count+=2;
pprior=pprior->m_pprior;
pnext=pnext->m_pnext;
}
return count;
}
template<typename Type>ListNode<Type>* DoublyList<Type>::Find(intn = 0){
if(n<0){
cout<<"The n is out ofboundary"<<endl;
return NULL;
}
ListNode<Type> *pmove=head->m_pnext;
for(inti=0;i<n;i++){
pmove=pmove->m_pnext;
if(pmove==head){
cout<<"The n is out ofboundary"<<endl;
return NULL;
}
}
return pmove;
}
template<typename Type> bool DoublyList<Type>::Insert(Type item,int n){
if(n<0){
cout<<"The n is out ofboundary"<<endl;
return 0;
}
ListNode<Type> *newnode=newListNode<Type>(item),*pmove=head;
if(newnode==NULL){
cout<<"ApplicationErorr!"<<endl;
exit(1);
}
for(inti=0;i<n;i++){ //find the position for insert
pmove=pmove->m_pnext;
if(pmove==head){
cout<<"The n is out ofboundary"<<endl;
return 0;
}
}
//insert the data
newnode->m_pnext=pmove->m_pnext;
newnode->m_pprior=pmove;
pmove->m_pnext=newnode;
newnode->m_pnext->m_pprior=newnode;
return 1;
}
template<typename Type>Type DoublyList<Type>::Remove(int n = 0){
if(n<0){
cout<<"The n is out ofboundary"<<endl;
exit(1);
}
ListNode<Type> *pmove=head,*pdel;
for(inti=0;i<n;i++){ //find the position for delete
pmove=pmove->m_pnext;
if(pmove==head){
cout<<"The n is out ofboundary"<<endl;
exit(1);
}
}
//delete the data
pdel=pmove;
pmove->m_pprior->m_pnext=pdel->m_pnext;
pmove->m_pnext->m_pprior=pdel->m_pprior;
Type temp=pdel->m_data;
delete pdel;
return temp;
}
template<typename Type>Type DoublyList<Type>::Get(int n = 0){
if(n<0){
cout<<"The n is out ofboundary"<<endl;
exit(1);
}
ListNode<Type> *pmove=head;
for(inti=0;i<n;i++){
pmove=pmove->m_pnext;
if(pmove==head){
cout<<"The n is out ofboundary"<<endl;
exit(1);
}
}
return pmove->m_data;
}
template<typename Type> void DoublyList<Type>::Print(){
ListNode<Type> *pmove=head->m_pnext;
cout<<"head";
while(pmove!=head){
cout<<"--->"<<pmove->m_data;
pmove=pmove->m_pnext;
}
cout<<"--->over"<<endl<<endl<<endl;
}
template<typename Type>ListNode<Type>* DoublyList<Type>::FindData(Type item){
ListNode<Type>*pprior=head->m_pprior,*pnext=head->m_pnext;
while(pprior->m_pnext!=pnext&& pprior!=pnext){ //find the data in the twodirection
if(pprior->m_data==item){
return pprior;
}
if(pnext->m_data==item){
return pnext;
}
pprior=pprior->m_pprior;
pnext=pnext->m_pnext;
}
cout<<"can't find theelement"<<endl;
return NULL;
}
Test.cpp
#include <iostream>
#include "DoublyList.h"
using namespace std;
int main()
{
DoublyList<int> list;
for(inti=0;i<20;i++){
list.Insert(i*3,i);
}
cout<<"the Length of thelist is "<<list.Length()<<endl;
list.Print();
for(inti=0;i<5;i++){
list.Insert(3,i*3);
}
cout<<"the Length of thelist is "<<list.Length()<<endl;
list.Print();
list.Remove(5);
cout<<"the Length of thelist is "<<list.Length()<<endl;
list.Print();
cout<<list.FindData(54)->GetData()<<endl;
cout<<"The third element is"<<list.Get(3)<<endl;
list.MakeEmpty();
cout<<"the Length of thelist is "<<list.Length()<<endl;
list.Print();
return 0;
}
4、循环链表
ListNode.h
template<typename Type> class CircularList;
template<typename Type> class ListNode{
private:
friend classCircularList<Type>;
ListNode():m_pnext(NULL){}
ListNode(const Typeitem,ListNode<Type> *next=NULL):m_data(item),m_pnext(next){}
~ListNode(){
m_pnext=NULL;
}
private:
Type m_data;
ListNode *m_pnext;
};
CircularList.h
#include "ListNode.h"
template<typename Type> class CircularList{
public:
CircularList():head(newListNode<Type>()){
head->m_pnext=head;
}
~CircularList(){
MakeEmpty();
delete head;
}
public:
void MakeEmpty(); //clear the list
int Length(); //get the length
ListNode<Type> *Find(Type value,intn); //find thenth data which is equal to value
ListNode<Type> *Find(int n); //find the nthdata
bool Insert(Type item,int n=0); //insert the data into the nth data of the list
Type Remove(int n=0); //deletethe nth data
bool RemoveAll(Type item); //delete allthe datas which are equal to value
Type Get(int n); //get the nth data
void Print(); //print the list
private:
ListNode<Type> *head;
};
template<typename Type> void CircularList<Type>::MakeEmpty(){
ListNode<Type> *pdel,*pmove=head;
while(pmove->m_pnext!=head){
pdel=pmove->m_pnext;
pmove->m_pnext=pdel->m_pnext;
delete pdel;
}
}
template<typename Type> int CircularList<Type>::Length(){
ListNode<Type> *pmove=head;
int count=0;
while(pmove->m_pnext!=head){
pmove=pmove->m_pnext;
count++;
}
return count;
}
template<typename Type>ListNode<Type>* CircularList<Type>::Find(intn){
if(n<0){
cout<<"The n is out ofboundary"<<endl;
return NULL;
}
ListNode<Type> *pmove=head->m_pnext;
for(inti=0;i<n&&pmove!=head;i++){
pmove=pmove->m_pnext;
}
if(pmove==head){
cout<<"The n is out ofboundary"<<endl;
return NULL;
}
return pmove;
}
template<typename Type>ListNode<Type>* CircularList<Type>::Find(Type value,int n){
if(n<1){
cout<<"The n isillegal"<<endl;
return NULL;
}
ListNode<Type> *pmove=head;
int count=0;
while(count!=n){
pmove=pmove->m_pnext;
if(pmove->m_data==value){
count++;
}
if(pmove==head){
cout<<"can't find theelement"<<endl;
return NULL;
}
}
return pmove;
}
template<typename Type> bool CircularList<Type>::Insert(Type item, int n){
if(n<0){
cout<<"The n is out ofboundary"<<endl;
return 0;
}
ListNode<Type> *pmove=head;
ListNode<Type> *pnode=newListNode<Type>(item);
if(pnode==NULL){
cout<<"Applicationerror!"<<endl;
exit(1);
}
for(inti=0;i<n;i++){
pmove=pmove->m_pnext;
if(pmove==head){
cout<<"The n is out ofboundary"<<endl;
return 0;
}
}
pnode->m_pnext=pmove->m_pnext;
pmove->m_pnext=pnode;
return 1;
}
template<typename Type> bool CircularList<Type>::RemoveAll(Type item){
ListNode<Type> *pmove=head;
ListNode<Type> *pdel=head->m_pnext;
while(pdel!=head){
if(pdel->m_data==item){
pmove->m_pnext=pdel->m_pnext;
delete pdel;
pdel=pmove->m_pnext;
continue;
}
pmove=pmove->m_pnext;
pdel=pdel->m_pnext;
}
return 1;
}
template<typename Type>Type CircularList<Type>::Remove(int n){
if(n<0){
cout<<"can't find theelement"<<endl;
exit(1);
}
ListNode<Type> *pmove=head,*pdel;
for(inti=0;i<n&&pmove->m_pnext!=head;i++){
pmove=pmove->m_pnext;
}
if(pmove->m_pnext==head){
cout<<"can't find theelement"<<endl;
exit(1);
}
pdel=pmove->m_pnext;
pmove->m_pnext=pdel->m_pnext;
Type temp=pdel->m_data;
delete pdel;
return temp;
}
template<typename Type>Type CircularList<Type>::Get(int n){
if(n<0){
cout<<"The n is out ofboundary"<<endl;
exit(1);
}
ListNode<Type> *pmove=head->m_pnext;
for(inti=0;i<n;i++){
pmove=pmove->m_pnext;
if(pmove==head){
cout<<"The n is out ofboundary"<<endl;
exit(1);
}
}
return pmove->m_data;
}
template<typename Type> void CircularList<Type>::Print(){
ListNode<Type> *pmove=head->m_pnext;
cout<<"head";
while(pmove!=head){
cout<<"--->"<<pmove->m_data;
pmove=pmove->m_pnext;
}
cout<<"--->over"<<endl<<endl<<endl;
}
Test.cpp
#include <iostream>
#include "CircularList.h"
using namespace std;
int main()
{
CircularList<int> list;
for(inti=0;i<20;i++){
list.Insert(i*3,i);
}
cout<<"the Length of thelist is "<<list.Length()<<endl;
list.Print();
for(inti=0;i<5;i++){
list.Insert(3,i*3);
}
cout<<"the Length of thelist is "<<list.Length()<<endl;
list.Print();
list.Remove(5);
cout<<"the Length of thelist is "<<list.Length()<<endl;
list.Print();
list.RemoveAll(3);
cout<<"the Length of thelist is "<<list.Length()<<endl;
list.Print();
cout<<"The third element is"<<list.Get(3)<<endl;
list.MakeEmpty();
cout<<"the Length of thelist is "<<list.Length()<<endl;
list.Print();
return 0;
}
5、顺序栈
SeqStack.h
template<typename Type> class SeqStack{
public:
SeqStack(intsz):m_ntop(-1),m_nMaxSize(sz){
m_pelements=new Type[sz];
if(m_pelements==NULL){
cout<<"Application Error!"<<endl;
exit(1);
}
}
~SeqStack(){
delete[] m_pelements;
}
public:
void Push(constType item); //push data
Type Pop(); //pop data
Type GetTop() const; //get data
voidPrint(); //print the stack
void MakeEmpty(){ //make thestack empty
m_ntop=-1;
}
bool IsEmpty() const{
return m_ntop==-1;
}
bool IsFull() const{
return m_ntop==m_nMaxSize-1;
}
private:
int m_ntop;
Type *m_pelements;
int m_nMaxSize;
};
template<typename Type> void SeqStack<Type>::Push(const Type item){
if(IsFull()){
cout<<"The stack isfull!"<<endl;
return;
}
m_pelements[++m_ntop]=item;
}
template<typename Type>Type SeqStack<Type>::Pop(){
if(IsEmpty()){
cout<<"There is noelement!"<<endl;
exit(1);
}
return m_pelements[m_ntop--];
}
template<typename Type>Type SeqStack<Type>::GetTop() const{
if(IsEmpty()){
cout<<"There is noelement!"<<endl;
exit(1);
}
return m_pelements[m_ntop];
}
template<typename Type> void SeqStack<Type>::Print(){
cout<<"bottom";
for(inti=0;i<=m_ntop;i++){
cout<<"--->"<<m_pelements[i];
}
cout<<"--->top"<<endl<<endl<<endl;
}
Test.cpp
#include<iostream>
using namespace std;
#include "SeqStack.h"
int main(){
SeqStack<int> stack(10);
int init[10]={1,2,6,9,0,3,8,7,5,4};
for(inti=0;i<10;i++){
stack.Push(init[i]);
}
stack.Print();
stack.Push(88);
cout<<stack.Pop()<<endl;
stack.Print();
stack.MakeEmpty();
stack.Print();
stack.Pop();
return 0;
}
6、链式栈
StackNode.h
template<typename Type> class LinkStack;
template<typename Type> class StackNode{
private:
friend classLinkStack<Type>;
StackNode(Type dt,StackNode<Type>*next=NULL):m_data(dt),m_pnext(next){}
private:
Type m_data;
StackNode<Type> *m_pnext;
};
LinkStack.h
#include "StackNode.h"
template<typename Type> class LinkStack{
public:
LinkStack():m_ptop(NULL){}
~LinkStack(){
MakeEmpty();
}
public:
void MakeEmpty(); //make thestack empty
void Push(constType item); //push the data
Type Pop(); //pop the data
Type GetTop() const; //get thedata
voidPrint(); //print the stack
bool IsEmpty() const{
return m_ptop==NULL;
}
private:
StackNode<Type> *m_ptop;
};
template<typename Type> void LinkStack<Type>::MakeEmpty(){
StackNode<Type> *pmove;
while(m_ptop!=NULL){
pmove=m_ptop;
m_ptop=m_ptop->m_pnext;
delete pmove;
}
}
template<typename Type> void LinkStack<Type>::Push(const Type item){
m_ptop=new StackNode<Type>(item,m_ptop);
}
template<typename Type>Type LinkStack<Type>::GetTop() const{
if(IsEmpty()){
cout<<"There is noelements!"<<endl;
exit(1);
}
return m_ptop->m_data;
}
template<typename Type>Type LinkStack<Type>::Pop(){
if(IsEmpty()){
cout<<"There is noelements!"<<endl;
exit(1);
}
StackNode<Type> *pdel=m_ptop;
m_ptop=m_ptop->m_pnext;
Type temp=pdel->m_data;
delete pdel;
return temp;
}
template<typename Type> void LinkStack<Type>::Print(){
StackNode<Type> *pmove=m_ptop;
cout<<"buttom";
while(pmove!=NULL){
cout<<"--->"<<pmove->m_data;
pmove=pmove->m_pnext;
}
cout<<"--->top"<<endl<<endl<<endl;
}
Test.cpp
#include <iostream>
using namespace std;
#include "LinkStack.h"
int main(){
LinkStack<int> stack;
int init[10]={1,3,5,7,4,2,8,0,6,9};
for(inti=0;i<10;i++){
stack.Push(init[i]);
}
stack.Print();
cout<<stack.Pop()<<endl;
stack.Print();
cout<<stack.GetTop()<<endl;
stack.Print();
cout<<stack.Pop()<<endl;
stack.Print();
stack.MakeEmpty();
stack.Print();
stack.Pop();
return 0;
}
7.顺序队列
SeqQueue.h
template<typename Type> class SeqQueue{
public:
SeqQueue(intsz):m_nrear(0),m_nfront(0),m_ncount(0),m_nMaxSize(sz){
m_pelements=new Type[sz];
if(m_pelements==NULL){
cout<<"ApplicationError!"<<endl;
exit(1);
}
}
~SeqQueue(){
delete[] m_pelements;
}
void MakeEmpty(); //makethe queue empty
bool IsEmpty();
bool IsFull();
bool Append(const Type item); //insert data
Type Delete(); //delete data
Type Get(); //get data
void Print(); //printthe queue
private:
int m_nrear;
int m_nfront;
int m_ncount;
int m_nMaxSize;
Type *m_pelements;
};
template<typename Type> void SeqQueue<Type>::MakeEmpty(){
this->m_ncount=0;
this->m_nfront=0;
this->m_nrear=0;
}
template<typename Type> bool SeqQueue<Type>::IsEmpty(){
return m_ncount==0;
}
template<typename Type> bool SeqQueue<Type>::IsFull(){
return m_ncount==m_nMaxSize;
}
template<typename Type> bool SeqQueue<Type>::Append(const Type item){
if(IsFull()){
cout<<"The queue isfull!"<<endl;
return 0;
}
m_pelements[m_nrear]=item;
m_nrear=(m_nrear+1)%m_nMaxSize;
m_ncount++;
return 1;
}
template<typename Type>Type SeqQueue<Type>::Delete(){
if(IsEmpty()){
cout<<"There is noelement!"<<endl;
exit(1);
}
Type temp=m_pelements[m_nfront];
m_nfront=(m_nfront+1)%m_nMaxSize;
m_ncount--;
return temp;
}
template<typename Type>Type SeqQueue<Type>::Get(){
if(IsEmpty()){
cout<<"There is noelement!"<<endl;
exit(1);
}
return m_pelements[m_nfront];
}
template<typename Type> void SeqQueue<Type>::Print(){
cout<<"front";
for(inti=0;i<m_ncount;i++){
cout<<"--->"<<m_pelements[(m_nfront+i+m_nMaxSize)%m_nMaxSize];
}
cout<<"--->rear"<<endl<<endl<<endl;
}
Test.cpp
#include <iostream>
using namespace std;
#include "SeqQueue.h"
int main(){
SeqQueue<int> queue(10);
intinit[10]={1,6,9,0,2,5,8,3,7,4};
for(inti=0;i<5;i++){
queue.Append(init[i]);
}
queue.Print();
cout<<queue.Delete()<<endl;
queue.Print();
for(inti=5;i<10;i++){
queue.Append(init[i]);
}
queue.Print();
cout<<queue.Get()<<endl;
queue.MakeEmpty();
queue.Print();
queue.Append(1);
queue.Print();
return 0;
}
8、链式队列
QueueNode.h
template<typename Type> class LinkQueue;
template<typename Type> class QueueNode{
private:
friend classLinkQueue<Type>;
QueueNode(const Typeitem,QueueNode<Type> *next=NULL)
:m_data(item),m_pnext(next){}
private:
Type m_data;
QueueNode<Type> *m_pnext;
};
LinkQueue.h
#include "QueueNode.h"
template<typename Type> class LinkQueue{
public:
LinkQueue():m_prear(NULL),m_pfront(NULL){}
~LinkQueue(){
MakeEmpty();
}
void Append(const Type item); //insert data
Type Delete(); //deletedata
Type GetFront(); //get data
void MakeEmpty(); //makethe queue empty
voidPrint(); //print the queue
bool IsEmpty() const{
return m_pfront==NULL;
}
private:
QueueNode<Type> *m_prear,*m_pfront;
};
template<typename Type> void LinkQueue<Type>::MakeEmpty(){
QueueNode<Type> *pdel;
while(m_pfront){
pdel=m_pfront;
m_pfront=m_pfront->m_pnext;
delete pdel;
}
}
template<typename Type> void LinkQueue<Type>::Append(const Type item){
if(m_pfront==NULL){
m_pfront=m_prear=newQueueNode<Type>(item);
}
else{
m_prear=m_prear->m_pnext=newQueueNode<Type>(item);
}
}
template<typename Type>Type LinkQueue<Type>::Delete(){
if(IsEmpty()){
cout<<"There is noelement!"<<endl;
exit(1);
}
QueueNode<Type> *pdel=m_pfront;
Type temp=m_pfront->m_data;
m_pfront=m_pfront->m_pnext;
delete pdel;
return temp;
}
template<typename Type>Type LinkQueue<Type>::GetFront(){
if(IsEmpty()){
cout<<"There is noelement!"<<endl;
exit(1);
}
return m_pfront->m_data;
}
template<typename Type> void LinkQueue<Type>::Print(){
QueueNode<Type> *pmove=m_pfront;
cout<<"front";
while(pmove){
cout<<"--->"<<pmove->m_data;
pmove=pmove->m_pnext;
}
cout<<"--->rear"<<endl<<endl<<endl;
}
Test.cpp
#include <iostream>
using namespace std;
#include "LinkQueue.h"
int main(){
LinkQueue<int> queue;
intinit[10]={1,3,6,8,9,2,0,5,4,7};
for(inti=0;i<10;i++){
queue.Append(init[i]);
}
queue.Print();
queue.Delete();
queue.Print();
cout<<queue.GetFront()<<endl;
queue.Print();
queue.MakeEmpty();
queue.Print();
queue.Delete();
return 0;
}
9、优先级队列
QueueNode.h
template<typename Type,typename Cmp> classPriorityQueue;
template<typename Type,typename Cmp> classQueueNode{
private:
friend classPriorityQueue<Type,Cmp>;
QueueNode(const Typeitem,QueueNode<Type,Cmp> *next=NULL)
:m_data(item),m_pnext(next){}
private:
Type m_data;
QueueNode<Type,Cmp> *m_pnext;
};
Compare.h
template<typename Type> class Compare{ //处理一般比较大小
public:
static boollt(Type item1,Type item2);
};
template<typename Type> bool Compare<Type>::lt(Type item1, Type item2){
return item1<item2;
}
struct SpecialData{
friend ostream& operator<<(ostream& ,SpecialData &);
int m_ntenor;
int m_npir;
};
ostream& operator<<(ostream& os,SpecialData&out){
os<<out.m_ntenor<<" "<<out.m_npir;
return os;
}
class SpecialCmp{ //处理特殊比较大小,用户可添加适当的类
public:
static boollt(SpecialData item1,SpecialData item2);
};
bool SpecialCmp::lt(SpecialData item1, SpecialData item2){
returnitem1.m_npir<item2.m_npir;
}
PriorityQueue.h
#include "QueueNode.h"
#include "Compare.h"
template<typename Type,typename Cmp> classPriorityQueue{ //Cmpis Designed for compare
public:
PriorityQueue():m_prear(NULL),m_pfront(NULL){}
~PriorityQueue(){
MakeEmpty();
}
void MakeEmpty(); //makethe queue empty
void Append(const Type item); //insert data
Type Delete(); //delete data
Type GetFront(); //get data
voidPrint(); //print the queue
bool IsEmpty() const{
return m_pfront==NULL;
}
private:
QueueNode<Type,Cmp> *m_prear,*m_pfront;
};
template<typename Type,typename Cmp> voidPriorityQueue<Type,Cmp>::MakeEmpty(){
QueueNode<Type,Cmp> *pdel;
while(m_pfront){
pdel=m_pfront;
m_pfront=m_pfront->m_pnext;
delete pdel;
}
}
template<typename Type,typename Cmp> voidPriorityQueue<Type,Cmp>::Append(constType item){
if(m_pfront==NULL){
m_pfront=m_prear=newQueueNode<Type,Cmp>(item);
}
else{
m_prear=m_prear->m_pnext=newQueueNode<Type,Cmp>(item);
}
}
template<typename Type,typename Cmp> Type PriorityQueue<Type,Cmp>::Delete(){
if(IsEmpty()){
cout<<"There is noelements!"<<endl;
exit(1);
}
QueueNode<Type,Cmp> *pdel=m_pfront,*pmove=m_pfront;
while(pmove->m_pnext){ //get the minimizepriority's data
//cmp:: lt isused for compare the two data, if the front one
// is less than the back, then return 1
if(Cmp::lt(pmove->m_pnext->m_data,pdel->m_pnext->m_data)){
pdel=pmove;
}
pmove=pmove->m_pnext;
}
pmove=pdel;
pdel=pdel->m_pnext;
pmove->m_pnext=pdel->m_pnext;
Type temp=pdel->m_data;
delete pdel;
return temp;
}
template<typename Type,typename Cmp> TypePriorityQueue<Type,Cmp>::GetFront(){
if(IsEmpty()){
cout<<"There is noelements!"<<endl;
exit(1);
}
QueueNode<Type,Cmp> *pdel=m_pfront,*pmove=m_pfront->m_pnext;
while(pmove){ //get the minimizepriority's data
if(Cmp::lt(pmove->m_data,pdel->m_data)){
pdel=pmove;
}
pmove=pmove->m_pnext;
}
return pdel->m_data;
}
template<typename Type,typename Cmp> voidPriorityQueue<Type,Cmp>::Print(){
QueueNode<Type,Cmp> *pmove=m_pfront;
cout<<"front";
while(pmove){
cout<<"--->"<<pmove->m_data;
pmove=pmove->m_pnext;
}
cout<<"--->rear"<<endl<<endl<<endl;
}
Test.cpp
#include <iostream>
#include <cstdlib>
using namespace std;
#include "PriorityQueue.h"
int main(){
PriorityQueue<int,Compare<int> > queue;
intinit[10]={1,9,3,5,0,8,2,4,6,7};
for(inti=0;i<10;i++){
queue.Append(init[i]);
}
queue.Print();
queue.Delete();
queue.Print();
system("pause");
system("cls");
PriorityQueue<SpecialData,SpecialCmp> spe_queue;
intinit2[5][2]={{34,2},{64,1},{18,3},{24,2},{55,4}};
SpecialData data[5];
for(inti=0;i<5;i++){
data[i].m_npir=init2[i][1];
data[i].m_ntenor=init2[i][0];
}
for(inti=0;i<5;i++){
spe_queue.Append(data[i]);
}
spe_queue.Print();
cout<<spe_queue.GetFront()<<endl<<endl;
spe_queue.Delete();
spe_queue.Print();
return 0;
}
10、串
MyString.h
const int MAXSIZE=100;
class CMyString
{
public:
CMyString(const CMyString©);
CMyString(const char *init);
CMyString();
~CMyString(){
delete[] m_pstr;
}
int Length() const{
return m_ncurlen;
}
int Find(CMyString part) const;
char* GetBuffer() const;
public:
CMyString& operator()(int pos,int len);
bool operator==(const CMyString cmp_str) const;
bool operator!=(const CMyString cmp_str) const;
bool operator<(const CMyString cmp_str) const;
bool operator>(const CMyString cmp_str) const;
bool operator!()const{
return m_ncurlen==0;
}
CMyString& operator=(const CMyString ©);
CMyString& operator+=(const CMyString &add);
char& operator[](int i);
friend ostream& operator<<(ostream& ,CMyString&);
friend istream& operator>>(istream& ,CMyString&);
private:
void Next();
private:
int m_ncurlen;
char *m_pstr;
int *m_pnext;
};
MyString.cpp
#include <iostream>
#include <cstring>
using namespace std;
#include "MyString.h"
CMyString::CMyString(){ //create emptystring
m_pstr=new char[MAXSIZE+1];
if(!m_pstr){
cerr<<"AllocationError"<<endl;
exit(1);
}
this->m_ncurlen=0;
m_pstr[0]='\0';
}
CMyString::CMyString(const char *init){ //initialize thestring with char*
m_pstr=new char[MAXSIZE+1];
if(!m_pstr){
cerr<<"AllocationError"<<endl;
exit(1);
}
this->m_ncurlen=strlen(init);
strcpy(m_pstr,init);
}
CMyString::CMyString(const CMyString ©){ //initialize the string with string
m_pstr=new char[MAXSIZE+1];
if(!m_pstr){
cerr<<"AllocationError"<<endl;
exit(1);
}
this->m_ncurlen=copy.m_ncurlen;
strcpy(m_pstr,copy.m_pstr);
}
int CMyString::Find(CMyString part) const{ //string match:KMP
int posP=0,posT=0;
intlengthP=part.m_ncurlen,lengthT=this->m_ncurlen;
part.Next();
while(posP<lengthP&&posT<lengthT){
if(part.m_pstr[posP]==this->m_pstr[posT]){
posP++;
posT++;
}
else{
if(posP==0){
posT++;
}
else{
posP=part.m_pnext[posP-1];
}
}
}
delete[] part.m_pnext;
if(posP<lengthP){
return 0;
}
else{
return 1;
}
}
void CMyString::Next(){ //get the next char for matching : KMP
int length=this->m_ncurlen;
this->m_pnext=new int[length];
this->m_pnext[0]=0;
for(inti=1;i<length;i++){
int j=this->m_pnext[i-1];
while(*(this->m_pstr+i)!=*(this->m_pstr+j)&&j>0){
j=this->m_pnext[j-1];
}
if(*(this->m_pstr+i)==*(this->m_pstr+j)){
this->m_pnext[i]=j+1;
}
else{
this->m_pnext[i]=0;
}
}
// for(int i=0;i<length;i++)
// cout<<i<<":\t"<<m_pnext[i]<<endl;
}
char *CMyString::GetBuffer() const{ //get the char*from string
return this->m_pstr;
}
CMyString& CMyString::operator()(int pos, int len){ //get len char with the begining of pos
CMyString *temp=new CMyString;
if(pos<0||pos+len-1>MAXSIZE||len<0){
temp->m_ncurlen=0;
temp->m_pstr[0]='\0';
}
else{
if(pos+len-1>=m_ncurlen){
len=m_ncurlen-pos;
}
temp->m_ncurlen=len;
for(inti=0,j=pos;i<len;i++,j++){
temp->m_pstr[i]=m_pstr[j];
}
temp->m_pstr[len]='\0';
}
return *temp;
}
bool CMyString::operator==(const CMyString cmp_str) const{
if(this->m_ncurlen!=cmp_str.m_ncurlen){
return 0;
}
for(inti=0;i<this->m_ncurlen;i++){
if(this->m_pstr[i]!=cmp_str.m_pstr[i])
return 0;
}
return 1;
}
bool CMyString::operator!=(const CMyString cmp_str) const{
if(*this==cmp_str)
return 0;
return 1;
}
bool CMyString::operator<(const CMyString cmp_str) const{
if(this->m_ncurlen!=cmp_str.m_ncurlen){
return this->m_ncurlen<cmp_str.m_ncurlen;
}
for(inti=0;i<this->m_ncurlen;i++){
if(this->m_pstr[i]!=cmp_str.m_pstr[i]){
return this->m_pnext[i]<cmp_str.m_pnext[i];
}
}
return 0;
}
bool CMyString::operator>(const CMyString cmp_str) const{
if(*this<cmp_str||*this==cmp_str){
return 0;
}
return 1;
}
CMyString& CMyString::operator=(constCMyString ©){ //赋值操作
delete[] this->m_pstr;
this->m_pstr=new char[copy.m_ncurlen+1];
strcpy
(this->m_pstr,copy.m_pstr);
return *this;
}
CMyString& CMyString::operator+=(constCMyString &add){ //字符串追加
int length=this->m_ncurlen+add.m_ncurlen;
int n=this->m_ncurlen;
CMyString temp(*this);
delete[] this->m_pstr;
this->m_pstr=new char[length+1];
for(inti=0;i<n;i++){
this->m_pstr[i]=temp[i];
}
for(inti=n;i<length;i++){
this->m_pstr[i]=add.m_pstr[i-n];
}
this->m_pstr[length]='\0';
return *this;
}
char& CMyString::operator[](int i){ //取元素
if(i<0||i>=this->m_ncurlen){
cout<<"out ofboundary!"<<endl;
exit(1);
}
return this->m_pstr[i];
}
ostream& operator<<(ostream& os,CMyString& str){
os<<str.m_pstr;
return os;
}
istream& operator>>(istream& is,CMyString& str){
is>>str.m_pstr;
return is;
}
test.cpp
#include <iostream>
using namespace std;
#include "MyString.h"
int main(){
CMyString test1("babc");
CMyString test2("abababcdefb");
cout<<test2.Find(test1)<<endl;
cout<<test2(2,3)<<endl;
if(test1<test2){
cout<<test1<<"<"<<test2<<endl;
}
else{
if(test1==test2){
cout<<test1<<"=="<<test2<<endl;
}
else{
if(test1>test2){
cout<<test1<<">"<<test2<<endl;
}
}
}
int length=test2.Length();
for(inti=0;i<length;i++){
cout<<test2[i];
}
cout<<endl;
test1+=test2;
cout<<test1<<endl;
test1=test2;
cout<<test1<<endl;
return 0;
}
11、二叉树
BinTreeNode.h
template<typename Type> class BinaryTree;
template<typename Type> class BinTreeNode{
public:
friend classBinaryTree<Type>;
BinTreeNode():m_pleft(NULL),m_pright(NULL){}
BinTreeNode(Type item,BinTreeNode<Type>*left=NULL,BinTreeNode<Type> *right=NULL)
:m_data(item),m_pleft(left),m_pright(right){}
Type GetData() const; //get thd data
BinTreeNode<Type> *GetLeft() const; //get the left node
BinTreeNode<Type> *GetRight() const; //get the right node
void SetData(const Type data); //change the data
void SetLeft(const BinTreeNode<Type> *left); //change thd leftnode
void SetRight(const BinTreeNode<Type> *right); //change the rightnode
void InOrder(); //inorder the treewith the root of the node
void PreOrder(); //perorder the treewith the root of the node
void PostOrder(); //postoder the treewith the root of the node
int Size(); //get size
int Height(); //get height
BinTreeNode<Type> *Copy(constBinTreeNode<Type> *copy); //copy the node
void Destroy(){ //destroy the treewith the root of the node
if(this!=NULL){
this->m_pleft->Destroy();
this->m_pright->Destroy();
delete this;
}
}
friend boolequal<Type>(const BinTreeNode<Type>*s,const BinTreeNode<Type> *t); //is equal?
private:
BinTreeNode<Type> *m_pleft,*m_pright;
Type m_data;
};
template<typename Type>Type BinTreeNode<Type>::GetData() const{
return this!=NULL?m_data:-1;
}
template<typename Type>BinTreeNode<Type>* BinTreeNode<Type>::GetLeft() const{
return this!=NULL?m_pleft:NULL;
}
template<typename Type>BinTreeNode<Type>* BinTreeNode<Type>::GetRight() const{
return this!=NULL?m_pright:NULL;
}
template<typename Type> void BinTreeNode<Type>::SetData(const Type data){
if(this!=NULL){
m_data=data;
}
}
template<typename Type> void BinTreeNode<Type>::SetLeft(const BinTreeNode<Type> *left){
if(this!=NULL){
m_pleft=left;
}
}
template<typename Type> void BinTreeNode<Type>::SetRight(const BinTreeNode<Type> *right){
if(this!=NULL){
m_pright=right;
}
}
template<typename Type>BinTreeNode<Type>* BinTreeNode<Type>::Copy(constBinTreeNode<Type> *copy){
if(copy==NULL){
return NULL;
}
BinTreeNode<Type> *temp=newBinTreeNode<Type>(copy->m_data);
temp->m_pleft=Copy(copy->m_pleft);
temp->m_pright=Copy(copy->m_pright);
return temp;
}
template<typename Type> bool equal(constBinTreeNode<Type> *s,constBinTreeNode<Type> *t){
if(s==NULL&&t==NULL){
return 1;
}
if(s&&t&&s->m_data==t->m_data&&equal(s->m_pleft,t->m_pleft)&&equal(s->m_pright,t->m_pright)){
return 1;
}
return 0;
}
template<typename Type> void BinTreeNode<Type>::InOrder(){
if(this!=NULL){
this->m_pleft->InOrder();
cout<<"--->"<<this->m_data;
this->m_pright->InOrder();
}
}
template<typename Type> void BinTreeNode<Type>::PreOrder(){
if(this!=NULL){
cout<<"--->"<<this->m_data;
this->m_pleft->PreOrder();
this->m_pright->PreOrder();
}
}
template<typename Type> void BinTreeNode<Type>::PostOrder(){
if(this!=NULL){
this->m_pleft->PostOrder();
this->m_pright->PostOrder();
cout<<"--->"<<this->m_data;
}
}
template<typename Type> int BinTreeNode<Type>::Size(){
if(this==NULL){
return 0;
}
return 1+this->m_pleft->Size()+this->m_pright->Size();
}
template<typename Type> int BinTreeNode<Type>::Height(){
if(this==NULL){
return -1;
}
int lheight,rheight;
lheight=this->m_pleft->Height();
rheight=this->m_pright->Height();
return1+(lheight>rheight?lheight:rheight);
}
BinaryTree.h
#include "BinTreeNode.h"
template<typename Type> class BinaryTree{
public:
BinaryTree():m_proot(NULL){}
BinaryTree(const Typestop):m_stop(stop),m_proot(NULL){}
BinaryTree(BinaryTree<Type>& copy);
virtual ~BinaryTree(){
m_proot->Destroy();
}
virtual boolIsEmpty(){ //isempty?
return m_proot==NULL;
}
virtual BinTreeNode<Type>*GetLeft(BinTreeNode<Type> *current); //get the left node
virtual BinTreeNode<Type>*GetRight(BinTreeNode<Type> *current);//get theright node
virtual BinTreeNode<Type>*GetParent(BinTreeNode<Type> *current);//ghethd parent
const BinTreeNode<Type>*GetRoot() const; //get root
virtual boolInsert(const Type item); //insert a new node
virtual BinTreeNode<Type>*Find(const Type item) const; //find thd node withthe data
void InOrder();
void PreOrder();
void PostOrder();
int Size(); //get size
int Height(); //get height
BinaryTree<Type>& operator=(const BinaryTree<Type> copy); //evaluate node
friend booloperator== <Type>(const BinaryTree<Type> s,constBinaryTree<Type> t);//is equal?
friend ostream& operator<< <Type>(ostream&,BinaryTree<Type>&); //output the data
friend istream& operator>> <Type>(istream&,BinaryTree<Type>&); //input the data
private:
Type m_stop; //just using for input the data;
BinTreeNode<Type> *m_proot;
//find the parent of current in the treewith the root of start
BinTreeNode<Type> *GetParent(BinTreeNode<Type>*start,BinTreeNode<Type> *current);
void Print(BinTreeNode<Type>*start,int n=0); //print the tree with the root of start
};
template<typename Type>BinaryTree<Type>::BinaryTree(BinaryTree<Type>& copy){
if(copy.m_proot){
this->m_stop=copy.m_stop;
}
m_proot=m_proot->Copy(copy.m_proot);
}
template<typename Type>BinTreeNode<Type>*BinaryTree<Type>::GetLeft(BinTreeNode<Type> *current){
return m_proot&¤t?current->m_pleft:NULL;
}
template<typename Type>BinTreeNode<Type>*BinaryTree<Type>::GetRight(BinTreeNode<Type> *current){
returnm_proot&¤t?current->m_pright:NULL;
}
template<typename Type> const BinTreeNode<Type>* BinaryTree<Type>::GetRoot()const{
return m_proot;
}
template<typename Type>BinTreeNode<Type>*BinaryTree<Type>::GetParent(BinTreeNode<Type> *start,BinTreeNode<Type> *current){
if(start==NULL||current==NULL){
return NULL;
}
if(start->m_pleft==current||start->m_pright==current){
return start;
}
BinTreeNode<Type> *pmove;
if((pmove=GetParent(start->m_pleft,current))!=NULL){//find the parent in the left subtree
return pmove;
}
else{
returnGetParent(start->m_pright,current); //find the parent in the right subtree
}
}
template<typename Type>BinTreeNode<Type>*BinaryTree<Type>::GetParent(BinTreeNode<Type> *current){
returnm_proot==NULL||current==m_proot?NULL:GetParent(m_proot,current);
}
template<typename Type> bool BinaryTree<Type>::Insert(const Type item){
BinTreeNode<Type> *pstart=m_proot,*newnode=new BinTreeNode<Type>(item);
if(m_proot==NULL){
m_proot=newnode;
return 1;
}
while(1){
if(item==pstart->m_data){
cout<<"The item "<<item<<" is exist!"<<endl;
return 0;
}
if(item<pstart->m_data){
if(pstart->m_pleft==NULL){
pstart->m_pleft=newnode;
return 1;
}
pstart=pstart->m_pleft; //if less than the node then insert to the left subtree
}
else{
if(pstart->m_pright==NULL){
pstart->m_pright=newnode;
return 1;
}
pstart=pstart->m_pright;//ifmore than the node then insert to the right subtree
}
}
}
template<typename Type>BinTreeNode<Type>* BinaryTree<Type>::Find(constType item) const{
BinTreeNode<Type> *pstart=m_proot;
while(pstart){
if(item==pstart->m_data){
return pstart;
}
if(item<pstart->m_data){
pstart=pstart->m_pleft; //if less than the node then find in the left subtree
}
else{
pstart=pstart->m_pright;//ifmore than the node then find in the right subtree
}
}
return NULL;
}
template<typename Type> voidBinaryTree<Type>::Print(BinTreeNode<Type> *start, int n){
if(start==NULL){
for(inti=0;i<n;i++){
cout<<" ";
}
cout<<"NULL"<<endl;
return;
}
Print(start->m_pright,n+1); //print the right subtree
for(inti=0;i<n;i++){ //printblanks with the height of the node
cout<<" ";
}
if(n>=0){
cout<<start->m_data<<"--->"<<endl;//print the node
}
Print(start->m_pleft,n+1); //print the left subtree
}
template<typename Type>BinaryTree<Type>& BinaryTree<Type>::operator=(const BinaryTree<Type> copy){
if(copy.m_proot){
this->m_stop=copy.m_stop;
}
m_proot=m_proot->Copy(copy.m_proot);
return *this;
}
template<typename Type>ostream& operator<<(ostream&os,BinaryTree<Type>& out){
out.Print(out.m_proot);
return os;
}
template<typename Type>istream& operator>>(istream&is,BinaryTree<Type>& in){
Type item;
cout<<"initialize thetree:"<<endl<<"Inputdata(end with "<<in.m_stop<<"!):";
is>>item;
while(item!=in.m_stop){ //m_stop is the endof input
in.Insert(item);
is>>item;
}
return is;
}
template<typename Type> bool operator==(const BinaryTree<Type> s,const BinaryTree<Type> t){
return equal(s.m_proot,t.m_proot);
}
template<typename Type> void BinaryTree<Type>::InOrder(){
this->m_proot->InOrder();
}
template<typename Type> void BinaryTree<Type>::PreOrder(){
this->m_proot->PreOrder();
}
template<typename Type> void BinaryTree<Type>::PostOrder(){
this->m_proot->PostOrder();
}
template<typename Type> int BinaryTree<Type>::Size(){
return this->m_proot->Size();
}
template<typename Type> int BinaryTree<Type>::Height(){
return this->m_proot->Height();
}
Test.cpp
#include <iostream>
using namespace std;
#include "BinaryTree.h"
int main(){
BinaryTree<int> tree(-1);
// int init[10]={3,6,0,2,8,4,9,1,5,7};
intinit[30]={17,6,22,29,14,0,21,13,27,18,2,28,8
,26,3,12,20,4,9,23,15,1,11,5,19,24,16,7,10,25};
for(inti=0;i<30;i++){
tree.Insert(init[i]);
}
//cin>>tree;
cout<<tree<<endl;
cout<<tree.GetParent(tree.Find(20))->GetData()<<endl;
cout<<tree.Find(15)->GetRight()->GetData()<<endl;
cout<<"size="<<tree.Size()<<endl;
cout<<"height="<<tree.Height()<<endl;
tree.InOrder();
cout<<endl<<endl;
tree.PreOrder();
cout<<endl<<endl;
tree.PostOrder();
cout<<endl<<endl;
BinaryTree<int> tree2=tree;
cout<<tree2<<endl;
cout<<tree2.GetParent(tree2.Find(20))->GetData()<<endl;
cout<<tree2.Find(15)->GetRight()->GetData()<<endl;
cout<<(tree==tree2)<<endl;
return 0;
}
12、线索二叉树
ThreadNode.h
template<typename Type> class ThreadTree;
template<typename Type> class ThreadInorderIterator;
template<typename Type> class ThreadNode{
public:
friend classThreadTree<Type>;
friend classThreadInorderIterator<Type>;
ThreadNode():m_nleftthread(1),m_nrightthread(1){
m_pleft=this;
m_pright=this;
}
ThreadNode(const Typeitem):m_data(item),m_pleft(NULL),m_pright(NULL)
,m_nleftthread(0),m_nrightthread(0){}
private:
int m_nleftthread,m_nrightthread;
ThreadNode<Type> *m_pleft,*m_pright;
Type m_data;
};
ThreadTree.h
#include "ThreadNode.h"
template<typename Type> class ThreadInorderIterator;
template<typename Type> class ThreadTree{
public:
friend classThreadInorderIterator<Type>;
ThreadTree():m_proot(newThreadNode<Type>()){}
ThreadInorderIterator.h
#include "ThreadTree.h"
template<typename Type> class ThreadInorderIterator{
public:
ThreadInorderIterator(ThreadTree<Type>&tree):m_ptree(tree),m_pcurrent(tree.m_proot){
//InThread(m_ptree.m_proot->m_pleft,m_ptree.m_proot);
}
ThreadNode<Type> *First();
ThreadNode<Type> *Prior();
ThreadNode<Type> *Next();
void Print();
void Print(ThreadNode<Type>*start, int n=0);
void InOrder();
voidInsertLeft(ThreadNode<Type> *left);
voidInsertRight(ThreadNode<Type> *right);
ThreadNode<Type> *GetParent(ThreadNode<Type>*current);
private:
ThreadTree<Type> &m_ptree;
ThreadNode<Type> *m_pcurrent;
voidInThread(ThreadNode<Type> *current,ThreadNode<Type> *pre);
};
template<typename Type> void ThreadInorderIterator<Type>::InThread(
ThreadNode<Type> *current, ThreadNode<Type> *pre){
if(current!=m_ptree.m_proot){
InThread(current->m_pleft,pre);
if(current->m_pleft==NULL){
current->m_pleft=pre;
current->m_nleftthread=1;
}
if(pre->m_pright==NULL){
pre->m_pright=current;
pre->m_nrightthread=1;
}
pre=current;
InThread(current->m_pright,pre);
}
}
template<typename Type>ThreadNode<Type>* ThreadInorderIterator<Type>::First(){
while(m_pcurrent->m_nleftthread==0){
m_pcurrent=m_pcurrent->m_pleft;
}
return m_pcurrent;
}
template<typename Type>ThreadNode<Type>* ThreadInorderIterator<Type>::Prior(){
ThreadNode<Type> *pmove=m_pcurrent->m_pleft;
if(0==m_pcurrent->m_nleftthread){
while(0==pmove->m_nrightthread){
pmove=pmove->m_pright;
}
}
m_pcurrent=pmove;
if(m_pcurrent==m_ptree.m_proot){
return NULL;
}
return m_pcurrent;
}
template<typename Type>ThreadNode<Type>* ThreadInorderIterator<Type>::Next(){
ThreadNode<Type> *pmove=m_pcurrent->m_pright;
if(0==m_pcurrent->m_nrightthread){
while(0==pmove->m_nleftthread){
pmove=pmove->m_pleft;
}
}
m_pcurrent=pmove;
if(m_pcurrent==m_ptree.m_proot){
return NULL;
}
return m_pcurrent;
}
template<typename Type> void ThreadInorderIterator<Type>::InOrder(){
ThreadNode<Type> *pmove=m_ptree.m_proot;
while(pmove->m_pleft!=m_ptree.m_proot){
pmove=pmove->m_pleft;
}
m_pcurrent=pmove;
cout<<"root";
while(pmove!=m_ptree.m_proot&&pmove){
cout<<"--->"<<pmove->m_data;
pmove=this->Next();
}
cout<<"--->end";
}
template<typename Type> voidThreadInorderIterator<Type>::InsertLeft(ThreadNode<Type> *left){
left->m_pleft=m_pcurrent->m_pleft;
left->m_nleftthread=m_pcurrent->m_nleftthread;
left->m_pright=m_pcurrent;
left->m_nrightthread=1;
m_pcurrent->m_pleft=left;
m_pcurrent->m_nleftthread=0;
if(0==left->m_nleftthread){
m_pcurrent=left->m_pleft;
ThreadNode<Type> *temp=First();
temp->m_pright=left;
}
m_pcurrent=left;
}
template<typename Type> voidThreadInorderIterator<Type>::InsertRight(ThreadNode<Type> *right){
right->m_pright=m_pcurrent->m_pright;
right->m_nrightthread=m_pcurrent->m_nrightthread;
right->m_pleft=m_pcurrent;
right->m_nleftthread=1;
m_pcurrent->m_pright=right;
m_pcurrent->m_nrightthread=0;
if(0==right->m_nrightthread){
m_pcurrent=right->m_pright;
ThreadNode<Type> *temp=First();
temp->m_pleft=right;
}
m_pcurrent=right;
}
template<typename Type>ThreadNode<Type>* ThreadInorderIterator<Type>::GetParent(
ThreadNode<Type> *current){
ThreadNode<Type> *pmove=current;
while(0==pmove->m_nleftthread){
pmove=pmove->m_pleft;
}
pmove=pmove->m_pleft;
if(pmove==m_ptree.m_proot){
if(pmove->m_pleft==current){
return NULL;
}
}
if(pmove->m_pright==current){
return pmove;
}
pmove=pmove->m_pright;
while(pmove->m_pleft!=current){
pmove=pmove->m_pleft;
}
return pmove;
}
template<typename Type> voidThreadInorderIterator<Type>::Print(ThreadNode<Type> *start, int n){
if(start->m_nleftthread&&start->m_nrightthread){
for(inti=0;i<n;i++){
cout<<" ";
}
if(n>=0){
cout<<start->m_data<<"--->"<<endl;
}
return;
}
if(start->m_nrightthread==0){
Print(start->m_pright,n+1);
}
for(inti=0;i<n;i++){
cout<<" ";
}
if(n>=0){
cout<<start->m_data<<"--->"<<endl;
}
if(start->m_nleftthread==0){
Print(start->m_pleft,n+1);
}
}
template<typename Type> void ThreadInorderIterator<Type>::Print(){
Print(m_ptree.m_proot->m_pleft);
}
test.cpp
#include <iostream>
using namespace std;
#include "ThreadInorderIterator.h"
int main(){
ThreadTree<int> tree;
ThreadInorderIterator<int>threadtree(tree);
intinit[10]={3,6,0,2,8,4,9,1,5,7};
for(inti=0;i<10;){
threadtree.InsertLeft(newThreadNode<int>(init[i++]));
threadtree.InsertRight(newThreadNode<int>(init[i++]));
}
threadtree.Print();
cout<<endl<<endl;
threadtree.InOrder();
return 0;
}
private:
ThreadNode<Type> *m_proot;
};
13、堆
MinHeap.h
template<typename Type> class MinHeap{
public:
MinHeap(int size):m_nMaxSize(size> defaultsize ? size : defaultsize)
,m_pheap(newType[m_nMaxSize]),m_ncurrentsize(0){}
MinHeap(Type heap[],int n); //initialize heapby a array
~MinHeap(){
delete[] m_pheap;
}
public:
bool Insert(const Type item); //insert element
bool Delete(const Type item); //delete element
bool IsEmpty() const{
return m_ncurrentsize == 0;
}
bool IsFull() const{
reutrn m_ncurrentsize == m_nMaxSize;
}
void Print(const int start=0, int n=0);
private:
//adjust theelements of the child tree with the root of start from top to bottom
void Adjust(const int start, const int end);
private:
static constint defaultsize = 100;
const intm_nMaxSize;
Type *m_pheap;
int m_ncurrentsize;
};
template<typename Type> void MinHeap<Type>::Adjust(const int start, const int end){
int i = start,j = i*2+1; //get theposition of the child of i
Type temp=m_pheap[i];
while(j <= end){
if(j<end &&m_pheap[j]>m_pheap[j+1]){ //left>right
j++;
}
if(temp <= m_pheap[j]){ //adjust over
break;
}
else{ //change theparent and the child, then adjust the child
m_pheap[i] = m_pheap[j];
i = j;
j = 2*i+1;
}
}
m_pheap[i] = temp;
}
template<typename Type>MinHeap<Type>::MinHeap(Type heap[], intn):m_nMaxSize(
n > defaultsize ? n : defaultsize){
m_pheap = new Type[m_nMaxSize];
for(inti=0; i<n; i++){
m_pheap[i] = heap[i];
}
m_ncurrentsize = n;
int pos=(n-2)/2; //Find the lastchild tree which has more than one element;
while(pos>=0){
Adjust(pos, n-1);
pos--;
}
}
template<typename Type> bool MinHeap<Type>::Insert(const Type item){
if(m_ncurrentsize == m_nMaxSize){
cerr<<"Heap Full!"<<endl;
return 0;
}
m_pheap[m_ncurrentsize] = item;
int j = m_ncurrentsize, i =(j-1)/2; //getthe position of the parent of j
Type temp = m_pheap[j];
while(j > 0){ //adjust frombottom to top
if(m_pheap[i] <= temp){
break;
}
else{
m_pheap[j] = m_pheap[i];
j = i;
i = (j-1)/2;
}
}
m_pheap[j] = temp;
m_ncurrentsize++;
return 1;
}
template<typename Type> bool MinHeap<Type>::Delete(const Type item){
if(0 == m_ncurrentsize){
cerr<<"Heap Empty!"<<endl;
return 0;
}
for(inti=0; i<m_ncurrentsize; i++){
if(m_pheap[i] == item){
m_pheap[i] = m_pheap[m_ncurrentsize-1]; //filled with the last element
Adjust(i,m_ncurrentsize-2); //adjust thetree with start of i
m_ncurrentsize--;
i=0;
}
}
return 1;
}
template<typename Type> void MinHeap<Type>::Print(const int start, int n){
if(start >= m_ncurrentsize){
return;
}
Print(start*2+2, n+1); //print the right child tree
for(inti=0; i<n; i++){
cout<<" ";
}
cout<< m_pheap[start] << "--->"<< endl;
Print(start*2+1, n+1); //print the left child tree
}
test.cpp
#include <iostream>
using namespace std;
#include "MinHeap.h"
int main(){
intinit[30]={17,6,22,29,14,0,21,13,27,18,2,28,8
,26,3,12,20,4,9,23,15,1,11,5,19,24,16,7,10,25};
MinHeap<int> heap(init,30);
heap.Print();
cout<<endl<<endl<<endl;
heap.Insert(20);
heap.Print();
cout<<endl<<endl<<endl;
heap.Delete(20);
heap.Print();
cout<<endl<<endl<<endl;
return 0;
}
14、哈夫曼树
BinTreeNode.h
template<typename Type> class BinaryTree;
template<typename Type> void Huffman(Type *, int,BinaryTree<Type> &);
template<typename Type> class BinTreeNode{
public:
friend classBinaryTree<Type>;
friend void Huffman<Type>(Type *, int, BinaryTree<Type> &);
BinTreeNode():m_pleft(NULL),m_pright(NULL){}
BinTreeNode(Type item,BinTreeNode<Type>*left=NULL,BinTreeNode<Type> *right=NULL)
:m_data(item),m_pleft(left),m_pright(right){}
void Destroy(){ //destroy the treewith the root of the node
if(this!=NULL){
this->m_pleft->Destroy();
this->m_pright->Destroy();
delete this;
}
}
Type GetData(){
returnm_data;
}
BinTreeNode<Type> *Copy(const BinTreeNode<Type> *copy); //copy the node
private:
BinTreeNode<Type> *m_pleft,*m_pright;
Type m_data;
};
template<typename Type>BinTreeNode<Type>* BinTreeNode<Type>::Copy(constBinTreeNode<Type> *copy){
if(copy==NULL){
return NULL;
}
BinTreeNode<Type> *temp=newBinTreeNode<Type>(copy->m_data);
temp->m_pleft=Copy(copy->m_pleft);
temp->m_pright=Copy(copy->m_pright);
return temp;
}
BinaryTree.h
#include "BinTreeNode.h"
template<typename Type> void Huffman(Type *, int,BinaryTree<Type> &);
template<typename Type> class BinaryTree{
public:
BinaryTree(BinaryTree<Type> &bt1,BinaryTree<Type> &bt2){
m_proot = newBinTreeNode<Type>(bt1.m_proot->m_data
+ bt2.m_proot->m_data,bt1.m_proot, bt2.m_proot);
}
BinaryTree(Type item){
m_proot = newBinTreeNode<Type>(item);
}
BinaryTree(constBinaryTree<Type> ©){
this->m_proot= copy.m_proot;
}
BinaryTree(){
m_proot = NULL;
}
voidDestroy(){
m_proot->Destroy();
}
~BinaryTree(){
// m_proot->Destroy();
}
BinaryTree<Type>& operator=(BinaryTree<Type> copy); //evaluate node
friend void Huffman<Type>(Type *, int, BinaryTree<Type> &);
friend bool operator <<Type>(BinaryTree<Type> &l, BinaryTree<Type> & r);
friend bool operator ><Type>(BinaryTree<Type> &l, BinaryTree<Type> & r);
friend bool operator <=<Type>(BinaryTree<Type> &l, BinaryTree<Type> & r);
friendostream& operator<<<Type>(ostream& ,BinaryTree<Type>&); //output the data
private:
BinTreeNode<Type> *m_proot;
void Print(BinTreeNode<Type>*start,int n=0); //print the tree with the root of start
};
template<typename Type> bool operator<(BinaryTree<Type> &l, BinaryTree<Type> &r){
returnl.m_proot->GetData() < r.m_proot->GetData();
}
template<typename Type> bool operator>(BinaryTree<Type> &l, BinaryTree<Type> &r){
returnl.m_proot->GetData() > r.m_proot->GetData();
}
template<typename Type> bool operator<=(BinaryTree<Type> &l, BinaryTree<Type> &r){
returnl.m_proot->GetData() <= r.m_proot->GetData();
}
template<typename Type> voidBinaryTree<Type>::Print(BinTreeNode<Type> *start, int n){
if(start==NULL){
for(inti=0;i<n;i++){
cout<<" ";
}
cout<<"NULL"<<endl;
return;
}
Print(start->m_pright,n+1); //print the right subtree
for(inti=0;i<n;i++){ //printblanks with the height of the node
cout<<" ";
}
if(n>=0){
cout<<start->m_data<<"--->"<<endl;//print the node
}
Print(start->m_pleft,n+1); //print the left subtree
}
template<typename Type>ostream& operator<<(ostream&os,BinaryTree<Type>& out){
out.Print(out.m_proot);
return os;
}
template<typename Type>BinaryTree<Type>& BinaryTree<Type>::operator=(BinaryTree<Type>copy){
m_proot=m_proot->Copy(copy.m_proot);
return *this;
}
MinHeap.h
template<typename Type> class MinHeap{
public:
MinHeap(Type heap[],int n); //initialize heapby a array
~MinHeap(){
delete[] m_pheap;
}
public:
boolInsert(const Type item);
boolDeleteMin(Type &first);
private:
void Adjust(const int start, const int end); //adjust the elementsfrom start to end
private:
const intm_nMaxSize;
Type *m_pheap;
int m_ncurrentsize;
};
template<typename Type> void MinHeap<Type>::Adjust(const int start, const int end){
int i = start,j = i*2+1;
Type temp=m_pheap[i];
while(j <= end){
if(j<end &&m_pheap[j]>m_pheap[j+1]){
j++;
}
if(temp <= m_pheap[j]){
break;
}
else{
m_pheap[i] = m_pheap[j];
i = j;
j = 2*i+1;
}
}
m_pheap[i] = temp;
}
template<typename Type>MinHeap<Type>::MinHeap(Type heap[], intn):m_nMaxSize(n){
m_pheap = new Type[m_nMaxSize];
for(inti=0; i<n; i++){
m_pheap[i] = heap[i];
}
m_ncurrentsize = n;
int pos=(n-2)/2; //Find the last treewhich has more than one element;
while(pos>=0){
Adjust(pos, n-1);
pos--;
}
}
template<typename Type> bool MinHeap<Type>::DeleteMin(Type &first){
first = m_pheap[0];
m_pheap[0] = m_pheap[m_ncurrentsize-1];
m_ncurrentsize--;
Adjust(0, m_ncurrentsize-1);
return 1;
}
template<typename Type> bool MinHeap<Type>::Insert(const Type item){
if(m_ncurrentsize == m_nMaxSize){
cerr<<"Heap Full!"<<endl;
return 0;
}
m_pheap[m_ncurrentsize] = item;
int j = m_ncurrentsize, i =(j-1)/2;
Type temp = m_pheap[j];
while(j > 0){
if(m_pheap[i] <= temp){
break;
}
else{
m_pheap[j] = m_pheap[i];
j = i;
i = (j-1)/2;
}
}
m_pheap[j] = temp;
m_ncurrentsize++;
return 1;
}
Huffman.h
#include "BinaryTree.h"
#include "MinHeap.h"
template<typename Type> void Huffman(Type *elements, intn, BinaryTree<Type> &tree){
BinaryTree<Type> first, second;
BinaryTree<Type> node[20];
for (int i=0; i<n; i++){
node[i].m_proot = new BinTreeNode<Type>(elements[i]);
}
MinHeap<BinaryTree<Type> >heap(node, n);
for (int i=0; i<n-1; i++){
heap.DeleteMin(first);
heap.DeleteMin(second);
//using thefirst and the second minimize element create new tree
if(first.m_proot->GetData() == second.m_proot->GetData()){
tree = *(newBinaryTree<Type>(second, first));
}
else {
tree = *(newBinaryTree<Type>(first, second));
}
heap.Insert(tree);
}
}
Test.cpp
#include <iostream>
using namespace std;
#include "Huffman.h"
int main(){
BinaryTree<int>tree;
intinit[10]={3,6,0,2,8,4,9,1,5,7};
Huffman(init,10,tree);
cout << tree;
tree.Destroy();
return 0;
}
15、树
QueueNode.h
template<typename Type> class LinkQueue;
template<typename Type> class QueueNode{
private:
friend classLinkQueue<Type>;
QueueNode(const Typeitem,QueueNode<Type> *next=NULL)
:m_data(item),m_pnext(next){}
private:
Type m_data;
QueueNode<Type> *m_pnext;
};
LinkQueue.h
#include "QueueNode.h"
template<typename Type> class LinkQueue{
public:
LinkQueue():m_prear(NULL),m_pfront(NULL){}
~LinkQueue(){
MakeEmpty();
}
void Append(const Type item);
Type Delete();
Type GetFront();
void MakeEmpty();
bool IsEmpty() const{
return m_pfront==NULL;
}
void Print();
private:
QueueNode<Type> *m_prear,*m_pfront;
};
template<typename Type> void LinkQueue<Type>::MakeEmpty(){
QueueNode<Type> *pdel;
while(m_pfront){
pdel=m_pfront;
m_pfront=m_pfront->m_pnext;
delete pdel;
}
}
template<typename Type> void LinkQueue<Type>::Append(const Type item){
if(m_pfront==NULL){
m_pfront=m_prear=newQueueNode<Type>(item);
}
else{
m_prear=m_prear->m_pnext=newQueueNode<Type>(item);
}
}
template<typename Type>Type LinkQueue<Type>::Delete(){
if(IsEmpty()){
cout<<"There is noelement!"<<endl;
exit(1);
}
QueueNode<Type> *pdel=m_pfront;
Type temp=m_pfront->m_data;
m_pfront=m_pfront->m_pnext;
delete pdel;
return temp;
}
template<typename Type>Type LinkQueue<Type>::GetFront(){
if(IsEmpty()){
cout<<"There is noelement!"<<endl;
exit(1);
}
return m_pfront->m_data;
}
template<typename Type> void LinkQueue<Type>::Print(){
QueueNode<Type> *pmove=m_pfront;
cout<<"front";
while(pmove){
cout<<"--->"<<pmove->m_data;
pmove=pmove->m_pnext;
}
cout<<"--->rear"<<endl<<endl<<endl;
}
TreeNode.h
template<typename Type> class Tree;
template<typename Type> class TreeNode{
public:
friend classTree<Type>;
private:
Type m_data;
TreeNode<Type> *m_pfirst,*m_pnext;
TreeNode():m_pfirst(NULL), m_pnext(NULL){}
TreeNode(Type item, TreeNode<Type> *first = NULL,TreeNode<Type> *next = NULL)
:m_data(item), m_pfirst(first), m_pnext(next){}
};
Tree.h
#include "TreeNode.h"
#include "LinkQueue.h"
template<typename Type> class Tree{
public:
Tree():m_proot(NULL), m_pcurrent(NULL){}
public:
TreeNode<Type> *GetCurrent(){ //Get the currentnode
returnm_pcurrent;
}
voidSetCurrent(TreeNode<Type> *current){ //set the current node
m_pcurrent = current;
}
boolInsert(Type item); //insert an new node to current node
voidRemove(Type item); //delete the node whose data is equal to item
voidRemove(TreeNode<Type> *current); //delete the node
bool Find(Typeitem); //findthe node whose data is equal to item
voidPrintChild(TreeNode<Type> *current); //print the child tree
TreeNode<Type>*Parent(TreeNode<Type> *current); //get the parent
voidPrint(); //printthe tree
voidPreOrder(TreeNode<Type> *root); //ordering the tree by visiting the root first
voidPostOrder(TreeNode<Type> *root); //ordering the tree by visiting the root last
voidLevelOrder(TreeNode<Type> *root); //ordering the tree by level
voidPreOrder();
voidPostOrder();
voidLevelOrder();
private:
TreeNode<Type> *m_proot,*m_pcurrent;
boolFind(TreeNode<Type> *root, Type item);
voidRemove(TreeNode<Type> *root, Type item);
TreeNode<Type>*Parent(TreeNode<Type> *root, TreeNode<Type> *current);
voidPrint(TreeNode<Type> *start, int n=0);
};
template<typename Type> bool Tree<Type>::Insert(Type item){
TreeNode<Type> *newnode = new TreeNode<Type>(item);
if (NULL ==newnode){
cout << "ApplicationError!" <<endl;
exit(1);
}
if (NULL ==m_proot){
m_proot = newnode;
m_pcurrent = m_proot;
return1;
}
if (NULL ==m_pcurrent){
cerr << "inserterror!" <<endl;
return0;
}
if(NULL ==m_pcurrent->m_pfirst){
m_pcurrent->m_pfirst = newnode;
m_pcurrent = newnode;
return1;
}
TreeNode<Type> *pmove =m_pcurrent->m_pfirst;
while(pmove->m_pnext){
pmove = pmove->m_pnext;
}
pmove->m_pnext = newnode;
m_pcurrent = newnode;
return 1;
}
template<typename Type> void Tree<Type>::Remove(TreeNode<Type>*current){
if(NULL ==current){
return;
}
TreeNode<Type> *temp =Parent(current);
if(NULL ==temp){
TreeNode<Type> *pmove =current->m_pfirst;
if(NULL!= pmove->m_pfirst){
pmove=pmove->m_pfirst;
while(pmove->m_pnext){
pmove = pmove->m_pnext;
}
pmove->m_pnext =current->m_pfirst->m_pnext;
current->m_pfirst->m_pnext =NULL;
}
else{
pmove->m_pfirst =pmove->m_pnext;
}
m_proot = current->m_pfirst;
}
else{
if(temp->m_pfirst== current){
TreeNode<Type> *pmove =current->m_pfirst;
if(pmove){
while(pmove->m_pnext){
pmove = pmove->m_pnext;
}
pmove->m_pnext =current->m_pnext;
}
else{
current->m_pfirst =current->m_pnext;
}
}
else{
TreeNode<Type> *pmove =temp->m_pfirst;
while(pmove->m_pnext!= current){
pmove = pmove->m_pnext;
}
pmove->m_pnext =current->m_pnext;
while(pmove->m_pnext){
pmove = pmove->m_pnext;
}
pmove->m_pnext =current->m_pfirst;
}
}
deletecurrent;
}
template<typename Type> void Tree<Type>::Remove(TreeNode<Type>*root, Type item){
if(NULL ==root){
return;
}
if(root->m_pfirst){
TreeNode<Type>*pmove=root->m_pfirst;
while(pmove){
Remove(pmove, item);
pmove = pmove->m_pnext;
}
}
if(root->m_data== item){
Remove(root);
}
}
template<typename Type> void Tree<Type>::Remove(Type item){
returnRemove(m_proot, item);
}
template<typename Type>TreeNode<Type>* Tree<Type>::Parent(
TreeNode<Type> *root,TreeNode<Type> *current){
if(NULL== root){
returnNULL;
}
TreeNode<Type>*pmove=root->m_pfirst,*temp;
if(NULL!= pmove){
while(pmove){
if(pmove== current){
returnroot;
}
pmove = pmove->m_pnext;
}
}
pmove = root->m_pfirst;
while(pmove){
temp = Parent(pmove, current);
if(temp){
returntemp;
}
pmove = pmove->m_pnext;
}
returnNULL;
}
template<typename Type>TreeNode<Type>* Tree<Type>::Parent(TreeNode<Type> *current){
returnParent(m_proot,current);
}
template<typename Type> voidTree<Type>::PrintChild(TreeNode<Type> *current){
TreeNode<Type> *pmove =current->m_pfirst;
cout<<"first";
if(NULL !=pmove){
cout<<"--->"<<pmove->m_data;
}
while(pmove->m_pnext){
cout<<"--->"<<pmove->m_data;
pmove = pmove->m_pnext;
}
}
template<typename Type> bool Tree<Type>::Find(TreeNode<Type>*root, Type item){
if(root->m_data == item){
return1;
}
if (NULL ==root){
return0;
}
TreeNode<Type>*pmove=root->m_pfirst;
if (NULL ==pmove){
return0;
}
while(pmove){
if(Find(pmove, item)){
return 1;
}
pmove = pmove->m_pnext;
}
return 0;
}
template<typename Type> bool Tree<Type>::Find(Type item){
returnFind(m_proot,item);
}
template<typename Type> void Tree<Type>::Print(TreeNode<Type>*start, int n = 0){
if (NULL ==start){
for (int i=0; i<n; i++){
cout << " ";
}
cout << "NULL"<< endl;
return;
}
TreeNode<Type> *pmove =start->m_pfirst;
Print(pmove, n+1);
for (int i=0; i<n; i++){
cout << " ";
}
cout << start->m_data << "--->" <<endl;
if (NULL ==pmove){
return;
}
pmove = pmove->m_pnext;
while(pmove){
Print(pmove, n+1);
pmove = pmove->m_pnext;
}
}
template<typename Type> void Tree<Type>::Print(){
Print(m_proot);
}
template<typename Type> void Tree<Type>::PreOrder(TreeNode<Type>*root){
if (NULL ==root){
return;
}
cout << root->m_data;
TreeNode<Type> *pmove =root->m_pfirst;
while(pmove){
PreOrder(pmove);
pmove = pmove->m_pnext;
}
}
template<typename Type> void Tree<Type>::PostOrder(TreeNode<Type>*root){
if (NULL ==root){
return;
}
TreeNode<Type> *pmove =root->m_pfirst;
while(pmove){
PostOrder(pmove);
pmove = pmove->m_pnext;
}
cout << root->m_data;
}
template<typename Type> void Tree<Type>::PreOrder(){
PreOrder(m_proot);
}
template<typename Type> void Tree<Type>::PostOrder(){
PostOrder(m_proot);
}
template<typename Type> voidTree<Type>::LevelOrder(TreeNode<Type> *root){ //using queue
LinkQueue<TreeNode<Type> *>queue;
TreeNode<Type> *pmove, *ptemp;
if (root !=NULL){
queue.Append(root);
while(!queue.IsEmpty()){
ptemp = queue.Delete();
cout << ptemp->m_data;
pmove = ptemp->m_pfirst;
while(pmove){
queue.Append(pmove);
pmove = pmove->m_pnext;
}
}
}
}
template<typename Type> void Tree<Type>::LevelOrder(){
LevelOrder(m_proot);
}
test.cpp
#include <iostream>
using namespace std;
#include "Tree.h"
int main(){
Tree<int> tree;
intinit[10]={3,6,0,2,8,4,9,1,5,7};
for (int i=0; i<10; i++){
tree.Insert(init[i]);
if (1== i % 2){
tree.SetCurrent(tree.Parent(tree.GetCurrent()));
}
}
tree.Print();
cout << endl <<endl <<endl;
tree.Remove(3);
tree.Print();
cout << endl <<endl <<endl;
cout << tree.Find(5) << endl<< tree.Find(11) <<endl;
tree.PreOrder();
cout << endl;
tree.PostOrder();
cout << endl;
tree.LevelOrder();
return 0;
}
16、B+树
BTreeNode.h
template<typename Type> class BTree;
template<typename Type> class BTreeNode{
public:
friendBTree<Type>;
BTreeNode(): m_nMaxSize(0), m_ptr(NULL),m_pparent(NULL){}
BTreeNode(intsize): m_nsize(0), m_nMaxSize(size), m_pparent(NULL){
m_pkey = newType[size+1];
m_ptr = newBTreeNode<Type> *[size+1];
for (int i=0; i<=size; i++){
m_ptr[i] = NULL;
m_pkey[i] = this->m_Infinity;
}
}
voidDestroy(BTreeNode<Type> *root);
~BTreeNode(){
if (m_nMaxSize){
delete[] m_pkey;
for (inti=0; i<=m_nMaxSize; i++){
m_ptr[i] = NULL;
}
}
}
boolIsFull(){
returnm_nsize == m_nMaxSize;
}
Type GetKey(inti){
if (this){
returnthis->m_pkey[i];
}
return-1;
}
private:
intm_nsize;
intm_nMaxSize; //theMax Size of key
Type *m_pkey;
BTreeNode<Type> *m_pparent;
BTreeNode<Type> **m_ptr;
static const Type m_Infinity = 10000;
};
template<typename Type> struct Triple{
BTreeNode<Type> *m_pfind;
intm_nfind;
boolm_ntag;
};
template<typename Type> voidBTreeNode<Type>::Destroy(BTreeNode<Type> *root){
if (NULL ==root){
return;
}
for (int i=0; i<root->m_nsize; i++){
Destroy(root->m_ptr[i]);
}
deleteroot;
}
BTree.h
#include "BTreeNode.h"
template<typename Type> class BTree{
public:
BTree(intsize): m_nMaxSize(size), m_proot(NULL){}
~BTree();
Triple<Type> Search(const Type item);
int Size();
intSize(BTreeNode<Type> *root);
boolInsert(const Type item); //insert item
boolRemove(const Type item); //delete item
voidPrint(); //print the BTree
BTreeNode<Type> *GetParent(const Type item);
private:
//insert thepright and item to pinsert in the nth place;
voidInsertKey(BTreeNode<Type> *pinsert, intn, const Type item, BTreeNode<Type>*pright);
voidPreMove(BTreeNode<Type> *root, int n); //move ahead
//merge the childtree
voidMerge(BTreeNode<Type> *pleft, BTreeNode<Type> *pparent,BTreeNode<Type> *pright, int n);
//adjust with the parent and the left child tree
voidLeftAdjust(BTreeNode<Type> *pright, BTreeNode<Type> *pparent, int min, int n);
//adjust with theparent and the left child tree
voidRightAdjust(BTreeNode<Type> *pleft, BTreeNode<Type> *pparent, int min, int n);
voidPrint(BTreeNode<Type> *start, int n = 0);
private:
BTreeNode<Type> *m_proot;
const int m_nMaxSize;
};
template<typename Type>BTree<Type>::~BTree(){
m_proot->Destroy(m_proot);
}
template<typename Type>Triple<Type> BTree<Type>::Search(constType item){
Triple<Type> result;
BTreeNode<Type> *pmove = m_proot,*parent = NULL;
int i = 0;
while(pmove){
i = -1;
while(item > pmove->m_pkey[++i]); //find the suitposition
if (pmove->m_pkey[i] == item){
result.m_pfind = pmove;
result.m_nfind = i;
result.m_ntag = 1;
returnresult;
}
parent = pmove;
pmove = pmove->m_ptr[i]; //find in thechild tree
}
result.m_pfind = parent;
result.m_nfind = i;
result.m_ntag = 0;
returnresult;
}
template<typename Type> voidBTree<Type>::InsertKey(BTreeNode<Type> *pinsert, int n, const Typeitem, BTreeNode<Type> *pright){
pinsert->m_nsize++;
for (inti=pinsert->m_nsize; i>n; i--){
pinsert->m_pkey[i] =pinsert->m_pkey[i-1];
pinsert->m_ptr[i+1] =pinsert->m_ptr[i];
}
pinsert->m_pkey[n] = item;
pinsert->m_ptr[n+1] = pright;
if(pinsert->m_ptr[n+1]){ //change the right child tree's parent
pinsert->m_ptr[n+1]->m_pparent =pinsert;
for (int i=0; i<=pinsert->m_ptr[n+1]->m_nsize;i++){
if(pinsert->m_ptr[n+1]->m_ptr[i]){
pinsert->m_ptr[n+1]->m_ptr[i]->m_pparent = pinsert->m_ptr[n+1];
}
}
}
}
template<typename Type> bool BTree<Type>::Insert(const Type item){
if (NULL ==m_proot){ //insertthe first node
m_proot = newBTreeNode<Type>(m_nMaxSize);
m_proot->m_nsize = 1;
m_proot->m_pkey[1] =m_proot->m_pkey[0];
m_proot->m_pkey[0] = item;
m_proot->m_ptr[0] =m_proot->m_ptr[1] =NULL;
return1;
}
Triple<Type> find = this->Search(item); //searchthe position
if(find.m_ntag){
cerr << "Theitem is exist!" << endl;
return0;
}
BTreeNode<Type> *pinsert =find.m_pfind, *newnode;
BTreeNode<Type> *pright = NULL,*pparent;
Type key = item;
int n =find.m_nfind;
while (1){
if(pinsert->m_nsize < pinsert->m_nMaxSize-1){ //There is somespace
InsertKey(pinsert, n, key, pright);
return1;
}
int m =(pinsert->m_nsize + 1) / 2; //get the middle item
InsertKey(pinsert, n, key,pright); //insertfirst, then break up
newnode = newBTreeNode<Type>(this->m_nMaxSize);//create the newnode for break up
//break up
for (int i=m+1; i<=pinsert->m_nsize; i++){
newnode->m_pkey[i-m-1] =pinsert->m_pkey[i];
newnode->m_ptr[i-m-1] =pinsert->m_ptr[i];
pinsert->m_pkey[i] =pinsert->m_Infinity;
pinsert->m_ptr[i] = NULL;
}
newnode->m_nsize =pinsert->m_nsize - m - 1;
pinsert->m_nsize = m;
for (int i=0; i<=newnode->m_nsize; i++){ //change theparent
if(newnode->m_ptr[i]){
newnode->m_ptr[i]->m_pparent = newnode;
for(int j=0;j<=newnode->m_ptr[i]->m_nsize; j++){
if(newnode->m_ptr[i]->m_ptr[j]){
newnode->m_ptr[i]->m_ptr[j]->m_pparent = newnode->m_ptr[i];
}
}
}
}
for (int i=0; i<=pinsert->m_nsize; i++){ //change theparent
if(pinsert->m_ptr[i]){
pinsert->m_ptr[i]->m_pparent = pinsert;
for(int j=0; j<=pinsert->m_nsize; j++){
if(pinsert->m_ptr[i]->m_ptr[j]){
pinsert->m_ptr[i]->m_ptr[j]->m_pparent = pinsert->m_ptr[i];
}
}
}
}
//break upover
key = pinsert->m_pkey[m];
pright = newnode;
if(pinsert->m_pparent){ //insert the key to the parent
pparent = pinsert->m_pparent;
n = -1;
pparent->m_pkey[pparent->m_nsize] = pparent->m_Infinity;
while(key > pparent->m_pkey[++n]);
newnode->m_pparent =pinsert->m_pparent;
pinsert = pparent;
}
else { //createnew root
m_proot = newBTreeNode<Type>(this->m_nMaxSize);
m_proot->m_nsize = 1;
m_proot->m_pkey[1] =m_proot->m_pkey[0];
m_proot->m_pkey[0] = key;
m_proot->m_ptr[0] = pinsert;
m_proot->m_ptr[1] = pright;
newnode->m_pparent =pinsert->m_pparent = m_proot;
return1;
}
}
}
template<typename Type> void BTree<Type>::PreMove(BTreeNode<Type>*root, int n){
root->m_pkey[root->m_nsize] =root->m_Infinity;
for (int i=n; i<root->m_nsize; i++){
root->m_pkey[i] =root->m_pkey[i+1];
root->m_ptr[i+1] =root->m_ptr[i+2];
}
root->m_nsize--;
}
template<typename Type> void BTree<Type>::Merge(BTreeNode<Type>*pleft, BTreeNode<Type> *pparent, BTreeNode<Type> *pright, int n){
pleft->m_pkey[pleft->m_nsize] =pparent->m_pkey[n];
BTreeNode<Type> *ptemp;
for (int i=0; i<=pright->m_nsize; i++){ //merge the two child tree and the parent
pleft->m_pkey[pleft->m_nsize+i+1]= pright->m_pkey[i];
pleft->m_ptr[pleft->m_nsize+i+1]= pright->m_ptr[i];
ptemp =pleft->m_ptr[pleft->m_nsize+i+1];
if(ptemp){ //changethd right child tree's parent
ptemp->m_pparent = pleft;
for(int j=0; j<=ptemp->m_nsize; j++){
if(ptemp->m_ptr[j]){
ptemp->m_ptr[j]->m_pparent = ptemp;
}
}
}
}
pleft->m_nsize = pleft->m_nsize +pright->m_nsize + 1;
deletepright;
PreMove(pparent, n);
// this->Print();
}
template<typename Type> voidBTree<Type>::LeftAdjust(BTreeNode<Type> *pright,BTreeNode<Type> *pparent, int min, int n){
BTreeNode<Type> *pleft =pparent->m_ptr[n-1], *ptemp;
if(pleft->m_nsize > min-1){
for (int i=pright->m_nsize+1; i>0; i--){
pright->m_pkey[i] =pright->m_pkey[i-1];
pright->m_ptr[i] =pright->m_ptr[i-1];
}
pright->m_pkey[0] =pparent->m_pkey[n-1];
pright->m_ptr[0] =pleft->m_ptr[pleft->m_nsize];
ptemp = pright->m_ptr[0];
if(ptemp){ //changethe tree's parent which is moved
ptemp->m_pparent = pright;
for(int i=0; i<ptemp->m_nsize; i++){
if(ptemp->m_ptr[i]){
ptemp->m_ptr[i]->m_pparent = ptemp;
}
}
}
pparent->m_pkey[n-1] =pleft->m_pkey[pleft->m_nsize-1];
pleft->m_pkey[pleft->m_nsize] =pleft->m_Infinity;
pleft->m_nsize--;
pright->m_nsize++;
}
else {
Merge(pleft, pparent, pright, n-1);
}
// this->Print();
}
template<typename Type> voidBTree<Type>::RightAdjust(BTreeNode<Type> *pleft,BTreeNode<Type> *pparent, int min, int n){
BTreeNode<Type> *pright =pparent->m_ptr[1], *ptemp;
if (pright&& pright->m_nsize > min-1){
pleft->m_pkey[pleft->m_nsize] =pparent->m_pkey[0];
pparent->m_pkey[0] =pright->m_pkey[0];
pleft->m_ptr[pleft->m_nsize+1] =pright->m_ptr[0];
ptemp =pleft->m_ptr[pleft->m_nsize+1];
if(ptemp){ //changethe tree's parent which is moved
ptemp->m_pparent = pleft;
for(int i=0; i<ptemp->m_nsize; i++){
if(ptemp->m_ptr[i]){
ptemp->m_ptr[i]->m_pparent = ptemp;
}
}
}
pright->m_ptr[0] =pright->m_ptr[1];
pleft->m_nsize++;
PreMove(pright,0);
}
else {
Merge(pleft, pparent, pright, 0);
}
}
template<typename Type> bool BTree<Type>::Remove(const Type item){
Triple<Type> result = this->Search(item);
if(!result.m_ntag){
return0;
}
BTreeNode<Type> *pdel, *pparent,*pmin;
int n =result.m_nfind;
pdel = result.m_pfind;
if(pdel->m_ptr[n+1] != NULL){ //change into delete leafnode
pmin = pdel->m_ptr[n+1];
pparent = pdel;
while(pmin != NULL){
pparent = pmin;
pmin = pmin->m_ptr[0];
}
pdel->m_pkey[n] =pparent->m_pkey[0];
pdel = pparent;
n = 0;
}
PreMove(pdel, n); //deletethe node
int min = (this->m_nMaxSize + 1) / 2;
while(pdel->m_nsize < min-1){ //if it is not a BTree, then adjust
n = 0;
pparent = pdel->m_pparent;
if(NULL == pparent)
{
return1;
}
while(n<= pparent->m_nsize && pparent->m_ptr[n]!=pdel){
n++;
}
if(!n){
RightAdjust(pdel, pparent, min, n);//adjust with the parent and the right child tree
}
else {
LeftAdjust(pdel, pparent, min, n); //adjust with the parent and the left child tree
}
pdel = pparent;
if(pdel == m_proot){
break;
}
}
if(!m_proot->m_nsize){ //the root is merged
pdel = m_proot->m_ptr[0];
deletem_proot;
m_proot = pdel;
m_proot->m_pparent = NULL;
for (int i=0; i<m_proot->m_nsize; i++){
if (m_proot->m_ptr[i]){
m_proot->m_ptr[i]->m_pparent = m_proot;
}
}
}
return 1;
}
template<typename Type> void BTree<Type>::Print(BTreeNode<Type>*start, int n){
if (NULL ==start){
return;
}
if(start->m_ptr[0]){
Print(start->m_ptr[0], n+1); //print the firstchild tree
}
else {
for (int j=0; j<n; j++){
cout << " ";
}
cout << "NULL"<< endl;
}
for (int i=0; i<start->m_nsize; i++){ //print the ortherchild tree
for (int j=0; j<n; j++){
cout << " ";
}
cout << start->m_pkey[i]<< "--->" <<endl;
if(start->m_ptr[i+1]){
Print(start->m_ptr[i+1], n+1);
}
else {
for(int j=0; j<n; j++){
cout << " ";
}
cout << "NULL" << endl;
}
}
}
template<typename Type> void BTree<Type>::Print(){
Print(m_proot);
}
template<typename Type> int BTree<Type>::Size(BTreeNode<Type>*root){
if (NULL ==root){
return0;
}
intsize=root->m_nsize;
for (int i=0; i<=root->m_nsize; i++){
if(root->m_ptr[i]){
size += this->Size(root->m_ptr[i]);
}
}
returnsize;
}
template<typename Type> int BTree<Type>::Size(){
return this->Size(this->m_proot);
}
template<typename Type>BTreeNode<Type>* BTree<Type>::GetParent(constType item){
Triple<Type> result = this->Search(item);
returnresult.m_pfind->m_pparent;
}
test.cpp
#include <iostream>
#include <cstdlib>
using namespace std;
#include "BTree.h"
int main(){
BTree<int>btree(3);
intinit[]={1,3,5,7,4,2,8,0,6,9,29,13,25,11,32,55,34,22,76,45
,14,26,33,88,87,92,44,54,23,12,21,99,19,27,57,18,72,124,158,234
,187,218,382,122,111,222,333,872,123};
for (int i=0; i<49; i++){
btree.Insert(init[i]);
}
btree.Print();
cout << endl << endl <<endl;
Triple<int>result = btree.Search(13);
cout << result.m_pfind->GetKey(result.m_nfind)<< endl;
cout << endl << endl <<endl;
for (int i=0; i<49; i++){
btree.Remove(init[i]);
btree.Print();
cout << endl << endl<< endl;
}
return 0;
}
17、图
MinHeap.h
template<typename Type> class MinHeap{
public:
MinHeap(Type heap[],int n); //initialize heapby a array
~MinHeap(){
delete[] m_pheap;
}
public:
boolInsert(const Type item);
boolDeleteMin(Type &first);
private:
void Adjust(const int start, const int end); //adjust theelements from start to end
private:
const intm_nMaxSize;
Type *m_pheap;
int m_ncurrentsize;
};
template<typename Type> void MinHeap<Type>::Adjust(const int start, const int end){
int i = start,j = i*2+1;
Type temp=m_pheap[i];
while(j <= end){
if(j<end &&m_pheap[j]>m_pheap[j+1]){
j++;
}
if(temp <= m_pheap[j]){
break;
}
else{
m_pheap[i] = m_pheap[j];
i = j;
j = 2*i+1;
}
}
m_pheap[i] = temp;
}
template<typename Type>MinHeap<Type>::MinHeap(Type heap[], intn):m_nMaxSize(n){
m_pheap = new Type[m_nMaxSize];
for(inti=0; i<n; i++){
m_pheap[i] = heap[i];
}
m_ncurrentsize = n;
int pos=(n-2)/2; //Find the last treewhich has more than one element;
while(pos>=0){
Adjust(pos, n-1);
pos--;
}
}
template<typename Type> bool MinHeap<Type>::DeleteMin(Type &first){
first = m_pheap[0];
m_pheap[0] = m_pheap[m_ncurrentsize-1];
m_ncurrentsize--;
Adjust(0, m_ncurrentsize-1);
return 1;
}
template<typename Type> bool MinHeap<Type>::Insert(const Type item){
if(m_ncurrentsize == m_nMaxSize){
cerr<<"Heap Full!"<<endl;
return 0;
}
m_pheap[m_ncurrentsize] = item;
int j = m_ncurrentsize, i =(j-1)/2;
Type temp = m_pheap[j];
while(j > 0){
if(m_pheap[i] <= temp){
break;
}
else{
m_pheap[j] = m_pheap[i];
j = i;
i = (j-1)/2;
}
}
m_pheap[j] = temp;
m_ncurrentsize++;
return 1;
}
Edge.h
template<typename DistType>struct Edge{
public:
Edge(intdest, DistType cost): m_ndest(dest), m_cost(cost), m_pnext(NULL){}
public:
intm_ndest;
DistType m_cost;
Edge<DistType> *m_pnext;
};
Vertex.h
#include "Edge.h"
template<typename NameType, typename DistType> structVertex{
public:
Vertex(): adj(NULL){}
NameType m_data;
Edge<DistType> *adj;
~Vertex();
};
template<typename NameType, typename DistType> Vertex<NameType,DistType>::~Vertex(){
Edge<DistType> *pmove = adj;
while(pmove){
adj = pmove->m_pnext;
deletepmove;
pmove = adj;
}
}
Graph.h
#include "Vertex.h"
template<typename NameType, typename DistType> classGraph{
public:
Graph(intsize = m_nDefaultSize); //create the Graph with the most vertex of size
~Graph();
boolGraphEmpty() const{ //Is empty?
return0 == m_nnumvertex;
}
boolGraphFull() const{ //Is full?
returnm_nMaxNum == m_nnumvertex;
}
intNumberOfVertex() const{ //get the number of vertex
returnm_nnumvertex;
}
intNumberOfEdge() const{ //get the numberof edge
returnm_nnumedges;
}
NameType GetValue(intv); //get thevalue of the vth vertex
DistType GetWeight(intv1, int v2); //getthe weight between v1 and v2
intGetFirst(int v); //get thefirst neighbor vertex of v
int GetNext(int v1, int v2);//get the next neighbor vertex of v1 behind v2
boolInsertVertex(const NameType vertex); //insert vertexwith the name of vertex
boolRemovevertex(int v); //remove the vthvertex
//insert the edgebetween v1 and v2
boolInsertEdge(int v1, intv2, DistType weight=m_Infinity);
boolRemoveEdge(int v1, intv2); //deletethe edge between v1 and v2
voidPrint(); //printthe graph
Edge<DistType> *GetMin(int v, int*visited); //getthe min weight of the neighbor vertex of v
voidPrim(Graph<NameType, DistType> &graph); //get theminimize span tree
void DFS(int v, int*visited); //depthfirst search
void DFS();
voidDijkstra(int v, DistType *shotestpath); //get the minweight from v to other vertex
private:
Vertex<NameType, DistType>*m_pnodetable; //neighborlist
intm_nnumvertex;
const int m_nMaxNum;
static const intm_nDefaultSize = 10; //the default maximize vertex
static const DistType m_Infinity = 100000; //there is no edge
intm_nnumedges;
intGetvertexpos(const NameType vertex); //get thevertex's position with the name of vertex
};
template<typename NameType, typename DistType> Graph<NameType,DistType>::Graph(int size)
:m_nnumvertex(0), m_nMaxNum(size), m_nnumedges(0){
m_pnodetable = newVertex<NameType, DistType>[size];
}
template<typename NameType, typename DistType> Graph<NameType,DistType>::~Graph(){
Edge<DistType> *pmove;
for (int i=0; i<this->m_nnumvertex;i++){
pmove = this->m_pnodetable[i].adj;
if(pmove){
this->m_pnodetable[i].adj= pmove->m_pnext;
deletepmove;
pmove = this->m_pnodetable[i].adj;
}
}
delete[]m_pnodetable;
}
template<typename NameType, typename DistType> intGraph<NameType, DistType>::GetFirst(intv){
if (v<0|| v>=this->m_nnumvertex){
return-1;
}
Edge<DistType> *ptemp = this->m_pnodetable[v].adj;
returnm_pnodetable[v].adj ? m_pnodetable[v].adj->m_ndest : -1;
}
template<typename NameType, typename DistType> intGraph<NameType, DistType>::GetNext(intv1, int v2){
if (-1 !=v1){
Edge<DistType> *pmove = this->m_pnodetable[v1].adj;
while(NULL != pmove->m_pnext){
if(pmove->m_ndest==v2){
returnpmove->m_pnext->m_ndest;
}
pmove = pmove->m_pnext;
}
}
return -1;
}
template<typename NameType, typename DistType> NameType Graph<NameType,DistType>::GetValue(int v){
if (v<0|| v>=this->m_nnumvertex){
cerr << "Thevertex is not exsit" <<endl;
exit(1);
}
returnm_pnodetable[v].m_data;
}
template<typename NameType, typename DistType> intGraph<NameType, DistType>::Getvertexpos(constNameType vertex){
for (int i=0; i<this->m_nnumvertex;i++){
if(vertex == m_pnodetable[i].m_data){
returni;
}
}
return -1;
}
template<typename NameType, typename DistType> DistType Graph<NameType,DistType>::GetWeight(int v1, int v2){
if(v1>=0 && v1<this->m_nnumvertex&& v2>=0 && v2<this->m_nnumvertex){
if (v1== v2){
return0;
}
Edge<DistType> *pmove =m_pnodetable[v1].adj;
while(pmove){
if (pmove->m_ndest== v2){
returnpmove->m_cost;
}
pmove = pmove->m_pnext;
}
}
returnm_Infinity;
}
template<typename NameType, typename DistType> boolGraph<NameType, DistType>::InsertEdge(intv1, int v2, DistType weight){
if(v1>=0 && v1<this->m_nnumvertex&& v2>=0 && v2<this->m_nnumvertex){
Edge<DistType> *pmove =m_pnodetable[v1].adj;
if(NULL == pmove){ //the first neighbor
m_pnodetable[v1].adj = new Edge<DistType>(v2, weight);
return1;
}
while(pmove->m_pnext){
if(pmove->m_ndest == v2){
break;
}
pmove = pmove->m_pnext;
}
if(pmove->m_ndest == v2){ //if the edge is exist, change the weight
pmove->m_cost = weight;
return1;
}
else{
pmove->m_pnext = new Edge<DistType>(v2, weight);
return1;
}
}
return 0;
}
template<typename NameType, typename DistType> boolGraph<NameType, DistType>::InsertVertex(constNameType vertex){
int i = this->Getvertexpos(vertex);
if (-1 !=i){
this->m_pnodetable[i].m_data= vertex;
}
else{
if (!this->GraphFull()){
this->m_pnodetable[this->m_nnumvertex].m_data = vertex;
this->m_nnumvertex++;
}
else{
cerr << "The Graph is Full" <<endl;
return0;
}
}
return 1;
}
template<typename NameType, typename DistType> boolGraph<NameType, DistType>::RemoveEdge(intv1, int v2){
if(v1>=0 && v1<this->m_nnumvertex&& v2>=0 && v2<this->m_nnumvertex){
Edge<DistType> *pmove = this->m_pnodetable[v1].adj, *pdel;
if(NULL == pmove){
cerr << "the edge is not exist!" <<endl;
return0;
}
if(pmove->m_ndest == v2){ //the first neighbor
this->m_pnodetable[v1].adj= pmove->m_pnext;
deletepmove;
return1;
}
while(pmove->m_pnext){
if(pmove->m_pnext->m_ndest == v2){
pdel = pmove->m_pnext;
pmove->m_pnext =pdel->m_pnext;
deletepdel;
return1;
}
pmove = pmove->m_pnext;
}
}
cerr << "theedge is not exist!" <<endl;
return 0;
}
template<typename NameType, typename DistType> boolGraph<NameType, DistType>::Removevertex(intv){
if (v<0|| v>=this->m_nnumvertex){
cerr << "thevertex is not exist!" << endl;
return 0;
}
Edge<DistType> *pmove, *pdel;
for (int i=0; i<this->m_nnumvertex;i++){
pmove = this->m_pnodetable[i].adj;
if (i!= v){ //deletethe edge point to v
if(NULL == pmove){
continue;
}
if(pmove->m_ndest == v){
this->m_pnodetable[i].adj= pmove->m_pnext;
deletepmove;
continue;
}
else{
if(pmove->m_ndest > v){ //the vertex more than v subtract 1
pmove->m_ndest--;
}
}
while(pmove->m_pnext){
if(pmove->m_pnext->m_ndest == v){
pdel = pmove->m_pnext;
pmove->m_pnext =pdel->m_pnext;
deletepdel;
}
else{
if(pmove->m_pnext->m_ndest > v){
pmove->m_pnext->m_ndest--;
pmove =pmove->m_pnext;
}
}
}
}
else{ //deletethe edge point from v
while(pmove){
this->m_pnodetable[i].adj= pmove->m_pnext;
deletepmove;
pmove = this->m_pnodetable[i].adj;
}
}
}
this->m_nnumvertex--;
for (int i=v; i<this->m_nnumvertex;i++) //deletethe vertex
{
this->m_pnodetable[i].adj= this->m_pnodetable[i+1].adj;
this->m_pnodetable[i].m_data= this->m_pnodetable[i+1].m_data;
}
this->m_pnodetable[this->m_nnumvertex].adj = NULL;
return 1;
}
template<typename NameType, typename DistType> voidGraph<NameType, DistType>::Print(){
Edge<DistType> *pmove;
for (int i=0; i<this->m_nnumvertex;i++){
cout << this->m_pnodetable[i].m_data<< "--->";
pmove = this->m_pnodetable[i].adj;
while(pmove){
cout << pmove->m_cost<< "--->" << this->m_pnodetable[pmove->m_ndest].m_data<< "--->";
pmove = pmove->m_pnext;
}
cout << "NULL"<< endl;
}
}
template<typename NameType, typename DistType> voidGraph<NameType, DistType>::Prim(Graph<NameType, DistType>&graph){
int *node =new int[this->m_nnumvertex]; //using for storethe vertex visited
int*visited = new int[this->m_nnumvertex];
int count =0;
Edge<DistType> *ptemp, *ptemp2 = new Edge<DistType>(0, this->m_Infinity),*pmin;
int min;
for (int i=0; i<this->m_nnumvertex;i++){
graph.InsertVertex(this->m_pnodetable[i].m_data);
node[i] = 0;
visited[i] = 0;
}
visited[0] = 1;
while(++count< this->m_nnumvertex){
pmin = ptemp2;
pmin->m_cost = this->m_Infinity;
//get theminimize weight between the vertex visited and the vertex which is not visited
for (int i=0; i<count; i++){
ptemp = GetMin(node[i], visited);
if(NULL == ptemp){
continue;
}
if(pmin->m_cost > ptemp->m_cost){
pmin = ptemp;
min = node[i];
}
}
node[count] = pmin->m_ndest;
visited[node[count]] = 1;
graph.InsertEdge(pmin->m_ndest, min,pmin->m_cost);
graph.InsertEdge(min, pmin->m_ndest,pmin->m_cost);
}
graph.DFS();
deleteptemp2;
delete[]node;
delete[]visited;
}
template<typename NameType, typename DistType> voidGraph<NameType, DistType>::DFS(int v, int *visited){
cout << "--->"<< this->GetValue(v);
visited[v] = 1;
int weight= this->GetFirst(v);
while (-1!= weight){
if(!visited[weight]){
cout << "--->" << this->GetWeight(v, weight);
DFS(weight, visited);
}
weight = this->GetNext(v,weight);
}
}
template<typename NameType, typename DistType> voidGraph<NameType, DistType>::DFS(){
int*visited = new int[this->m_nnumvertex];
for (int i=0; i<this->m_nnumvertex;i++){
visited[i] = 0;
}
cout << "head";
DFS(0, visited);
cout << "--->end";
}
template<typename NameType, typename DistType> Edge<DistType>*Graph<NameType, DistType>::GetMin(int v, int *visited){
Edge<DistType> *pmove = this->m_pnodetable[v].adj, *ptemp = new Edge<DistType>(0, this->m_Infinity),*pmin = ptemp;
while(pmove){
if(!visited[pmove->m_ndest] && pmin->m_cost>pmove->m_cost){
pmin = pmove;
}
pmove = pmove->m_pnext;
}
if (pmin ==ptemp){
deleteptemp;
returnNULL;
}
deleteptemp;
returnpmin;
}
template<typename NameType, typename DistType> voidGraph<NameType, DistType>::Dijkstra(intv, DistType *shotestpath){
int*visited = new int[this->m_nnumvertex];
int *node =new int[this->m_nnumvertex];
for (int i=0; i<this->m_nnumvertex;i++){
visited[i] = 0;
node[i] = 0;
shotestpath[i] = this->GetWeight(v, i);
}
visited[v] = 1;
for (int i=1; i<this->m_nnumvertex;i++){
DistType min = this->m_Infinity;
intu=v;
for (int j=0; j<this->m_nnumvertex;j++){ //getthe minimize weight
if(!visited[j] && shotestpath[j]<min){
min = shotestpath[j];
u = j;
}
}
visited[u] = 1;
for (int w=0; w<this->m_nnumvertex;w++){ //changethe weight from v to other vertex
DistType weight = this->GetWeight(u, w);
if(!visited[w] && weight!=this->m_Infinity
&&shotestpath[u]+weight<shotestpath[w]){
shotestpath[w] = shotestpath[u] +weight;
}
}
}
delete[]visited;
delete[]node;
}
test.cpp
#include <iostream>
using namespace std;
#include "Graph.h"
int main(){
Graph<char*, int> graph,graph2;
intshotestpath[7];
char*vertex[] = {"地大", "武大", "华科", "交大", "北大", "清华", "复旦"};
intedge[][3] = {{0, 1, 43}, {0, 2, 12}, {1, 2, 38}, {2, 3 ,1325}
,{3, 6, 55}, {4, 5,34}, {4, 6, 248}};
for (int i=0; i<7; i++){
graph.InsertVertex(vertex[i]);
}
graph.Print();
cout << endl << endl<<endl;
for (int i=0; i<7; i++){
graph.InsertEdge(edge[i][0],edge[i][1], edge[i][2]);
graph.InsertEdge(edge[i][1],edge[i][0], edge[i][2]);
}
graph.Print();
cout << endl << endl<<endl;
graph.Dijkstra(0, shotestpath);
for (int i=0; i<7; i++){
cout << graph.GetValue(0)<< "--->" <<graph.GetValue(i)
<< ": "<< shotestpath[i] <<endl;
}
cout << endl << endl<<endl;
graph.Prim(graph2);
cout << endl << endl<<endl;
graph.Removevertex(2);
graph.Print();
return 0;
}
18、排序
Data.h
template<typename Type> class Element{
public:
Type GetKey(){
returnkey;
}
void SetKey(Typeitem){
key = item;
}
public:
Element<Type>& operator =(Element<Type> copy){
key = copy.key;
return*this;
}
bool operator ==(Element<Type> item){
return this->key == item.key;
}
bool operator !=(Element<Type> item){
return this->key != item.key;
}
bool operator <(Element<Type> item){
return this->key < item.key;
}
bool operator >(Element<Type> item){
return this->key > item.key;
}
bool operator>=(Element<Type> item){
return this->key >= item.key;
}
bool operator <=(Element<Type> item){
return this->key <= item.key;
}
private:
Type key;
};
template<typename Type> class Sort;
template<typename Type> class DataList{
public:
friend class Sort<Type>;
DataList(intsize=m_nDefaultSize): m_nMaxSize(size), m_ncurrentsize(0){
m_pvector = newElement<Type>[size];
}
DataList(Type *data, int size);
boolInsert(Type item);
~DataList(){
delete[]m_pvector;
}
int Size(){
return this->m_ncurrentsize;
}
voidSwap(Element<Type> &left, Element<Type> &right){
Element<Type> temp = left;
left = right;
right = temp;
}
voidPrint();
private:
static const intm_nDefaultSize = 10;
Element<Type> *m_pvector;
const int m_nMaxSize;
intm_ncurrentsize;
};
template<typename Type>DataList<Type>::DataList(Type *data, intsize)
: m_nMaxSize(size > m_nDefaultSize ?size : m_nDefaultSize), m_ncurrentsize(0){
this->m_pvector= new Element<Type>[size];
for (int i=0; i<size; i++){
this->m_pvector[i].SetKey(data[i]);
}
this->m_ncurrentsize+= size;
}
template<typename Type> bool DataList<Type>::Insert(Type item){
if (this->m_ncurrentsize == this->m_nMaxSize){
cerr << "Thelist is full!" <<endl;
return0;
}
this->m_pvector[this->m_ncurrentsize++].SetKey(item);
}
template<typename Type> void DataList<Type>::Print(){
cout << "Thelist is:";
for (int i=0; i<this->m_ncurrentsize;i++){
cout << "" << this->m_pvector[i].GetKey();
}
}
QueueNode.h
#include "QueueNode.h"
template<typename Type> class LinkQueue{
public:
LinkQueue():m_prear(NULL),m_pfront(NULL){}
~LinkQueue(){
MakeEmpty();
}
void Append(const Type item);
Type Delete();
Type GetFront();
void MakeEmpty();
bool IsEmpty() const{
return m_pfront==NULL;
}
void Print();
private:
QueueNode<Type> *m_prear,*m_pfront;
};
template<typename Type> void LinkQueue<Type>::MakeEmpty(){
QueueNode<Type> *pdel;
while(m_pfront){
pdel=m_pfront;
m_pfront=m_pfront->m_pnext;
delete pdel;
}
}
template<typename Type> void LinkQueue<Type>::Append(const Type item){
if(m_pfront==NULL){
m_pfront=m_prear=newQueueNode<Type>(item);
}
else{
m_prear=m_prear->m_pnext=newQueueNode<Type>(item);
}
}
template<typename Type>Type LinkQueue<Type>::Delete(){
if(IsEmpty()){
cout<<"There is noelement!"<<endl;
exit(1);
}
QueueNode<Type> *pdel=m_pfront;
Type temp=m_pfront->m_data;
m_pfront=m_pfront->m_pnext;
delete pdel;
return temp;
}
template<typename Type>Type LinkQueue<Type>::GetFront(){
if(IsEmpty()){
cout<<"There is noelement!"<<endl;
exit(1);
}
return m_pfront->m_data;
}
template<typename Type> void LinkQueue<Type>::Print(){
QueueNode<Type> *pmove=m_pfront;
cout<<"front";
while(pmove){
cout<<"--->"<<pmove->m_data;
pmove=pmove->m_pnext;
}
cout<<"--->rear"<<endl<<endl<<endl;
}
LinkQueue.h
#include "QueueNode.h"
template<typename Type> class LinkQueue{
public:
LinkQueue():m_prear(NULL),m_pfront(NULL){}
~LinkQueue(){
MakeEmpty();
}
void Append(const Type item);
Type Delete();
Type GetFront();
void MakeEmpty();
bool IsEmpty() const{
return m_pfront==NULL;
}
void Print();
private:
QueueNode<Type> *m_prear,*m_pfront;
};
template<typename Type> void LinkQueue<Type>::MakeEmpty(){
QueueNode<Type> *pdel;
while(m_pfront){
pdel=m_pfront;
m_pfront=m_pfront->m_pnext;
delete pdel;
}
}
template<typename Type> void LinkQueue<Type>::Append(const Type item){
if(m_pfront==NULL){
m_pfront=m_prear=newQueueNode<Type>(item);
}
else{
m_prear=m_prear->m_pnext=newQueueNode<Type>(item);
}
}
template<typename Type>Type LinkQueue<Type>::Delete(){
if(IsEmpty()){
cout<<"There is noelement!"<<endl;
exit(1);
}
QueueNode<Type> *pdel=m_pfront;
Type temp=m_pfront->m_data;
m_pfront=m_pfront->m_pnext;
delete pdel;
return temp;
}
template<typename Type>Type LinkQueue<Type>::GetFront(){
if(IsEmpty()){
cout<<"There is noelement!"<<endl;
exit(1);
}
return m_pfront->m_data;
}
template<typename Type> void LinkQueue<Type>::Print(){
QueueNode<Type> *pmove=m_pfront;
cout<<"front";
while(pmove){
cout<<"--->"<<pmove->m_data;
pmove=pmove->m_pnext;
}
cout<<"--->rear"<<endl<<endl<<endl;
}
Sort.h
#include "Data.h"
#include "LinkQueue.h"
template<typename Type> class Sort{
public:
voidInsertSort(DataList<Type> &list, intn=-1);
voidBinaryInsertSort(DataList<Type> &list, intn=-1);
voidShellSort(DataList<Type> &list, constint gap=-1);
voidBubbleSort(DataList<Type> &list);
voidQuickSort(DataList<Type> &list, intleft=0, int right=-3);
voidSelectSort(DataList<Type> &list);
voidHeapSort(DataList<Type> &list);
voidMergeSort(DataList<Type> &list);
voidRadixSort(DataList<int> &list, int m, int d); //just use forinteger!
private:
voidBubbleSwap(DataList<Type> &list, constint n, int&flag);
voidSelectChange(DataList<Type> &list, constint n);
voidHeapAdjust(DataList<Type> &list, constint start, constint end);
voidMerge(DataList<Type> &list, DataList<Type> &mergedlist, const int len);
voidMergeDouble(DataList<Type> &list, DataList<Type>&mergedlist, const intstart, const intpart, const intend);
};
template<typename Type> voidSort<Type>::InsertSort(DataList<Type> &list, int n){
if (-1 ==n){
for (int i=1; i<list.m_ncurrentsize; i++){
InsertSort(list, i);
}
return;
}
Element<Type> temp = list.m_pvector[n];
int i;
for (i=n;i>0; i--){
if(temp > list.m_pvector[i-1]){
break;
}
else{
list.m_pvector[i] =list.m_pvector[i-1];
}
}
list.m_pvector[i] = temp;
}
template<typename Type> voidSort<Type>::BinaryInsertSort(DataList<Type> &list, int n){
if (-1 ==n){
for (int i=1; i<list.m_ncurrentsize; i++){
BinaryInsertSort(list, i);
}
return;
}
Element<Type> temp =list.m_pvector[n];
int left =0, right = n-1;
while(left<= right){
intmiddle = (left + right) / 2;
if(temp < list.m_pvector[middle]){
right = middle - 1;
}
else {
left = middle + 1;
}
}
for (int i=n-1; i>=left; i--){
list.m_pvector[i+1] =list.m_pvector[i];
}
list.m_pvector[left] = temp;
}
template<typename Type> void Sort<Type>::ShellSort(DataList<Type>&list, const intgap){
if (-1 ==gap){
int gap = list.m_ncurrentsize / 2;
while(gap){
ShellSort(list, gap);
gap = (int)(gap/ 2);
}
return;
}
for (int i=gap; i<list.m_ncurrentsize; i++){
InsertSort(list, i);
}
}
template<typename Type> voidSort<Type>::BubbleSwap(DataList<Type> &list, const int n, int &flag){
flag = 0;
for (int i=list.m_ncurrentsize-1; i>=n; i--){
if(list.m_pvector[i-1] > list.m_pvector[i]){
list.Swap(list.m_pvector[i-1],list.m_pvector[i]);
flag = 1;
}
}
}
template<typename Type> voidSort<Type>::BubbleSort(DataList<Type> &list){
int flag =1, n = 0;
while(++n<list.m_ncurrentsize && flag){
BubbleSwap(list, n, flag);
}
}
template<typename Type> void Sort<Type>::QuickSort(DataList<Type>&list, int left=0, intright=-1){
if (-3 ==right){
right = list.m_ncurrentsize - 1;
}
if (left< right){
intpivotpos = left;
Element<Type> pivot = list.m_pvector[left];
for (int i=left+1; i<=right; i++){
if(list.m_pvector[i]<pivot && ++pivotpos!=i){
list.Swap(list.m_pvector[pivotpos], list.m_pvector[i]);
}
list.Swap(list.m_pvector[left],list.m_pvector[pivotpos]);
}
QuickSort(list, left, pivotpos-1);
QuickSort(list, pivotpos+1, right);
}
}
template<typename Type> voidSort<Type>::SelectChange(DataList<Type> &list, const int n){
int j = n;
for (int i=n+1; i<list.m_ncurrentsize; i++){
if(list.m_pvector[i] < list.m_pvector[j]){
j = i;
}
}
if (j !=n){
list.Swap(list.m_pvector[n],list.m_pvector[j]);
}
}
template<typename Type> voidSort<Type>::SelectSort(DataList<Type> &list){
for (int i=0; i<list.m_ncurrentsize-1; i++){
SelectChange(list, i);
}
}
template<typename Type> voidSort<Type>::HeapAdjust(DataList<Type> &list, const int start, const int end){
int current= start, child = 2 * current + 1;
Element<Type> temp = list.m_pvector[start];
while(child <= end){
if(child<end && list.m_pvector[child]<list.m_pvector[child+1]){
child++;
}
if(temp >= list.m_pvector[child]){
break;
}
else {
list.m_pvector[current] =list.m_pvector[child];
current = child;
child = 2 * current + 1;
}
}
list.m_pvector[current] = temp;
}
template<typename Type> void Sort<Type>::HeapSort(DataList<Type> &list){
for (int i=(list.m_ncurrentsize-2)/2; i>=0; i--){
HeapAdjust(list, i,list.m_ncurrentsize-1);
}
for (int i=list.m_ncurrentsize-1; i>=1; i--){
list.Swap(list.m_pvector[0],list.m_pvector[i]);
HeapAdjust(list, 0, i-1);
}
}
template<typename Type> voidSort<Type>::MergeDouble(DataList<Type> &list,DataList<Type> &mergedlist, const int start, const int part, const int end){
int i =start, j = part + 1, k = start;
while(i<=part && j<=end){
if (list.m_pvector[i]<= list.m_pvector[j]){
mergedlist.m_pvector[k++] =list.m_pvector[i++];
}
else {
mergedlist.m_pvector[k++] =list.m_pvector[j++];
}
}
if (i <=part){
for (int m=i; m<=part && k<=end;){
mergedlist.m_pvector[k++] =list.m_pvector[m++];
}
}
else {
for (int m=j; m<=end && k<=end; m++){
mergedlist.m_pvector[k++] =list.m_pvector[m];
}
}
}
template<typename Type> void Sort<Type>::Merge(DataList<Type>&list, DataList<Type> &mergedlist, constint len){
int n = 0;
while(n+2*len < list.m_ncurrentsize){
MergeDouble(list, mergedlist, n,n+len-1, n+2*len-1);
n += 2*len;
}
if (n+len< list.m_ncurrentsize){
MergeDouble(list, mergedlist, n,n+len-1, list.m_ncurrentsize-1);
}
else {
for (int i=n; i<list.m_ncurrentsize; i++){
mergedlist.m_pvector[i] =list.m_pvector[i];
}
}
}
template<typename Type> void Sort<Type>::MergeSort(DataList<Type>&list){
DataList<Type> temp(list.m_nMaxSize);
temp.m_ncurrentsize = list.m_ncurrentsize;
int len =1;
while (len< list.m_ncurrentsize){
Merge(list, temp, len);
len *= 2;
Merge(temp, list, len);
len *= 2;
}
}
template<typename Type> void Sort<Type>::RadixSort(DataList<int> &list, intm, int d){
LinkQueue<int>*queue = new LinkQueue<int>[d];
int power =1;
for (int i=0; i<m; i++){
if (i){
power = power * d;
}
for (int j=0; j<list.m_ncurrentsize; j++){
intk = (list.m_pvector[j].GetKey() / power) % d;
queue[k].Append(list.m_pvector[j].GetKey());
}
for (int j=0,k=0; j<d; j++){
while(!queue[j].IsEmpty()){
list.m_pvector[k++].SetKey(queue[j].Delete());
}
}
}
}
test.cpp
#include <iostream>
using namespace std;
#include "Sort.h"
int main(){
intinit[15]={1,3,5,7,4,2,8,0,6,9,29,13,25,11,32};
DataList<int>data(init, 15);
Sort<int>sort;
data.Print();
cout << endl << endl<<endl;
sort.InsertSort(data);
sort.BinaryInsertSort(data);
sort.ShellSort(data);
sort.BubbleSort(data);
sort.QuickSort(data);
sort.SelectSort(data);
sort.HeapSort(data);
sort.MergeSort(data);
sort.RadixSort(data, 2, 10);
data.Print();
return 0;
}
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