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  • 九种排序算法

    #include<iostream>
    #include <iomanip>
    #include <string>
    #include<deque>
    using namespace std;
    const int MAXSIZE=20;
    class node
    {
    public:
     void operator =(node b);
     int key;
     char info;
    };
    void node::operator=(node b)
    {
     key=b.key;
     info=b.info;

    }
    struct Sqlist
    {
     node data[MAXSIZE+1];
     int length;
    };
    class Sort
    {
    private:
     Sqlist L;
    public:
     void CreateSqlist();
     void swap(int,int);
     void print();
     void InsertSort();//直接插入排序
     void BinInsert();//折半插入排序
     void ShellSort();//希尔排序
     void ShellInsert(int );
     void BubbleSort();//起泡排序
     int  partition1(int ,int );//快速排序的辅助函数
     int  partition2(int ,int );//快速排序的辅助函数
     void QSort(int ,int );//快速排序
     void QuickSort();
     void SelectSort();//简单选择排序
     void HeapSort();//堆排序
     void HeapAdjust(int ,int );
     void Merge(int ,int ,int );
     void MSort(int ,int );
     void MergeSort( );//归并排序
     void RadixSort();//基数排序
    };
    void Sort::CreateSqlist()
    {
     int array[10]={9,54,87,65,1,5,65,48,8,23};
     for (int i=0;i<=9;i++)
      L.data[i].key=array[i];
     char ary[11]={'a','b','c','d','e','f','g','h','i','j','\0'};
     for (i=0;i<=9;i++)
      L.data[i].info=ary[i];
      L.length=9;

    }
    void Sort::swap(int a,int b)
    {
     int key=L.data[a].key;
     char info=L.data[a].info;
     L.data[a].key=L.data[b].key;
     L.data[a].info=L.data[b].info;
     L.data[b].key=key;
     L.data[b].info=info;

    }
    void Sort::print()
    {
     for(int m=1;m<=L.length;m++)
      cout<<setw(3)<<L.data[m].key<<"   ";
     cout<<endl;
     cout<<setw(15)<<"information:";
     for( m=1;m<=L.length;m++)
      cout<<setw(3)<<L.data[m].info<<"   ";
     cout<<endl;
     cout<<endl;

    }
    void Sort::InsertSort()
    {
     for(int i=2;i<=L.length;i++)
     {
      if(L.data[i].key<L.data[i-1].key)
      {
       L.data[0].key=L.data[i].key;
       L.data[0].info=L.data[i].info;
       for(int j=i-1;L.data[0].key<L.data[j].key;j--)
       {
        L.data[j+1].key=L.data[j].key;
        L.data[j+1].info=L.data[j].info;
       }
       L.data[j+1].key=L.data[0].key;
       L.data[j+1].info=L.data[0].info;
      }
      
     }

     
    }
    void Sort::BinInsert()
    {
     for(int i=2;i<=L.length;i++)
     {
      if(L.data[i].key<L.data[i-1].key)
      {
       int low=1;
       int high=i-1;
       while(low<high)
       {
        int mid=(low+high)/2;
        if(L.data[0].key>=L.data[mid].key)
         low=mid+1;
        else
         high=mid-1;
       }
       for (int j=i-1;j>high;j--)
       {
        L.data[j+1].key=L.data[j].key;
        L.data[j+1].info=L.data[j].info;
       }
       L.data[j+1].key=L.data[0].key;
       L.data[j+1].info=L.data[0].info;

      }
     }

    }
    void Sort::ShellInsert(int dk)
    {
     for (int i=1;i<=dk;i++)
     {
      for (int j=dk+i;j<=L.length;j=j+dk)
      {
       if (L.data[j].key<L.data[j-dk].key)
       {
        L.data[0]=L.data[j];
        for (int m=j-dk;m>0&&L.data[0].key<L.data[m].key;m=m-dk)
         L.data[m+dk]=L.data[m];
        L.data[m+dk]=L.data[0];
        
       }
      }
     }
     
    }
    void Sort::ShellSort()
    {
     for (int gap=L.length/2;gap>=1;gap=gap/2)
     {
      ShellInsert(gap);

     }


    }
    void Sort::BubbleSort()
    {
     for (int i=1;i<L.length;i++)
     {
      for (int j=1;j<=L.length-i;j++)
      {
       if (L.data[j].key>L.data[j+1].key)
       swap(j,j+1);

      }
     }


    }
    int Sort::partition1(int low,int high)
    {
     int pivot=low;
     int pivotvalue=L.data[low].key;
     while (low<high)
     {
      while(low<high&&L.data[high].key>=pivotvalue)
       high--;
      while(low<high&&L.data[low].key<=pivotvalue)
       low++;
      swap(low,high);
     }
     swap(low,pivot);
     return low;

    }


    void Sort::QSort(int low=1,int high=9)
    {
     if (low<high)
     {
      int pivotloc=partition1(low,high);//寻找中间点
      QSort(low,pivotloc-1);//对左子序列进行排序
      QSort(pivotloc+1,high);//对右子序列进行排序
     }


    }
    void Sort::QuickSort()
    {
     QSort(1,L.length);

    }
    void Sort::SelectSort()
    {
     for (int i=1;i<L.length;i++)
     {
      int min=i;
      for (int j=i+1;j<=L.length;j++)
      {
       if (L.data[j].key<L.data[min].key)
        min=j;
      }
      swap(min,i);
     }


    }
    void Sort::HeapAdjust(int i,int n)
    {
     L.data[0]=L.data[i];
     int j=2*i;
     while (j<=n)
     {
      if (j<n&&L.data[j].key<L.data[j+1].key)
       j++;
      if (L.data[0].key>=L.data[j].key)
       break;
      L.data[i]=L.data[j];
      i=j;
      j=2*i;
      
     }
       L.data[i]=L.data[0];
    }
    void Sort::HeapSort()
    {
     for (int i=L.length/2;i>0;i--)
     HeapAdjust(i,L.length);
     for (i=L.length;i>0;i--)
     {
      swap(i,1);
      HeapAdjust(1,i-1);
     }

    }
    void Sort::Merge(int low,int m,int high)
    {
     node *p=new node[high-low+1];
     int i=low;
     int j=m+1;
     int k=0;
     while (i<=m&&j<=high)
     {
      if(L.data[i].key<=L.data[j].key)
       p[k++]=L.data[i++];
      else
       p[k++]=L.data[j++];
     }
     while (i<=m)
       p[k++]=L.data[i++];
     while (j<=high)
         p[k++]=L.data[j++];
      for (i=low,k=0;i<=high;i++,k++)
       L.data[i]=p[k];
      
      delete []p;
    }
    void Sort::MSort(int low,int high)
    {
     if (low<high)
     {
      int center=(low+high)/2;
      MSort(low,center);
      MSort(center+1,high);
      Merge(low,center,high);
     }
    }

    void Sort::MergeSort()
    {
     MSort(1,L.length);

    }
    void Sort::RadixSort()
    {
     int i,j;
     deque<node> bin[10];
     
     for ( i=1;i<=L.length;i++)
     {
      int m=L.data[i].key%10;
      bin[m].push_back(L.data[i]);

     }
     for( j=0,i=1;j<10;j++)
     {
      while(!bin[j].empty())
      {
       L.data[i++]=bin[j].front();
       bin[j].pop_front();
      }
     }
     for ( i=1;i<=L.length;i++)
     {
      int  m=L.data[i].key/10;
      bin[m].push_back(L.data[i]);
      
     }
     for( j=0,i=1;j<10;j++)
     {
      while(!bin[j].empty())
      {
       L.data[i++]=bin[j].front();
       bin[j].pop_front();
      }
     }


     

    }
    int main()
    {
     Sort s;
     s.CreateSqlist();
        int menu;
     int type;
     while (1)
     {
      cout<<"    〓〓〓〓〓〓〓〓〓〓〓〓〓★〓〓〓〓〓〓〓〓〓〓〓〓〓"<<endl;
      cout<<"    〓※※※※※※※※※※※※★※※※※※※※※※※※※〓"<<endl;
      cout<<"    〓※                   菜单选顶                   ※〓"<<endl;
      cout<<"    〓※==============================================※〓"<<endl;
      cout<<"    〓※                                              ※〓"<<endl;
      cout<<"    〓※     1.插入排序               2.交换排序      ※〓"<<endl;
      cout<<"    〓※     3.选择排序               4.归并排序      ※〓"<<endl;
      cout<<"    〓※     5.基数排序               0.退出系统      ※〓"<<endl;
      cout<<"    〓※                                              ※〓"<<endl;
      cout<<"    〓※                                              ※〓"<<endl;
      cout<<"    〓※※※※※※※※※※※※★※※※※※※※※※※※※〓"<<endl;
      cout<<"    〓〓〓〓〓〓〓〓〓〓〓〓〓★〓〓〓〓〓〓〓〓〓〓〓〓〓"<<endl;
      cout<<endl<<"请选择相应操作菜单项:";
      cin>>menu;
      switch(menu)
      {
        case 0:
         return 0;
        case 1:
         cout<<"          ★★★★★★★★★★★★★★★★★★★★"<<endl;
         cout<<"          ★    1.直接插入     2. 希尔排序      ★"<<endl;
         cout<<"          ★                                    ★"<<endl;
         cout<<"          ★    3.折半插入     0. 返回上级      ★"<<endl;
         cout<<"          ★★★★★★★★★★★★★★★★★★★★"<<endl;
         cin>>type;
         switch (type)
         {
             case 1:
           cout<<setw(15)<<"initial data:";
           s.print();
           s.InsertSort();
           cout<<setw(15)<<"InsertSort:";
           s.print();
           break;
             case 2:
           cout<<setw(15)<<"initial data:";
           s.print();
           s.ShellSort();
           cout<<setw(15)<<"ShellSort:";
           s.print();
           break;
          case 3:
           cout<<setw(15)<<"initial data:";
           s.print();
           s.BinInsert();
           cout<<setw(15)<<"BinInsert:";
           s.print();
           break;
          case 0:
           break;
          default:
           cout<<"输入有误!"<<endl;
           break;

         }
         break;
         case 2:
          cout<<"          ★★★★★★★★★★★★★★★★★★★★"<<endl;
          cout<<"          ★    1.起泡排序     2. 快速排序      ★"<<endl;
          cout<<"          ★                                    ★"<<endl;
          cout<<"          ★    0.返回上级                      ★"<<endl;
          cout<<"          ★★★★★★★★★★★★★★★★★★★★"<<endl;
          cin>>type;
          switch (type)
          {
          case 1:
           cout<<setw(15)<<"initial data:";
           s.print();
           s.BubbleSort();
           cout<<setw(15)<<"BubbleSort:";
           s.print();
           break;
          case 2:
           cout<<setw(15)<<"initial data:";
           s.print();
           s.QuickSort();
           cout<<setw(15)<<"QuickSort:";
           s.print();
           break;
          case 0:
           break;
          default:
           cout<<"输入有误!"<<endl;
           break;
          
          }
         break;
          case 3:
           cout<<"          ★★★★★★★★★★★★★★★★★★★★"<<endl;
           cout<<"          ★    1.直接选择     2. 堆排序        ★"<<endl;
           cout<<"          ★                                    ★"<<endl;
           cout<<"          ★    0.返回上级                      ★"<<endl;
           cout<<"          ★★★★★★★★★★★★★★★★★★★★"<<endl;
           cin>>type;
           switch (type)
           {
           case 1:
            cout<<setw(15)<<"initial data:";
               s.print();
            s.SelectSort();
            cout<<setw(15)<<"SelectSort:";
                s.print();
            break;
           case 2:
            cout<<setw(15)<<"initial data:";
           s.print();
            s.HeapSort();
            cout<<setw(15)<<"HeapSort:";
           s.print();
            break;
           case 0:
            break;
           default:
            cout<<"输入有误!"<<endl;
            break;
           
           }
           break;
           case 4:
            cout<<setw(15)<<"initial data:";
            s.print();
            s.MergeSort();
            cout<<setw(15)<<"MergeSort:";
               s.print();
            break;
           case 5:
            cout<<setw(15)<<"initial data:";
            s.print();
            s.MergeSort();
            cout<<setw(15)<<"RadixSort:";
            s.print();
            break;
            default:
             cout<<"输入有误!!!"<<endl;

      }
      
     }
     return 0;
       

    }

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  • 原文地址:https://www.cnblogs.com/anning/p/1918493.html
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