• 平衡二叉树(AVLTREE,双链表实现)


    首先说下好久没更新了,最近打游戏和工作都有点多,o(^▽^)o。

    写这个AVL发现自己的代码风格好差,尤其是变量命名这块,后来意识到了,想去改,但是太多了,改了几个就不想改了,做这个是记录下自己的成长吧。

    另外说下,调这个AVL真心有点烦了,前面写了一个,但是逻辑有点乱,基本的删除都测差不多ok了,发现一个bug,实在不想去看那代码,太乱了,后来强b这自己去重新写,花了1个多小时(当然是加班的时候理),理清了,晚上9点多回来,大概3个小时,把del这块从新改完了,写代码真的是一个时候一个思想,发现处理节点只有单个分支的时候,还是第一次的思想好,直接指针操作一下,逻辑很精简,具体可以看code708的那2段逻辑处理,在处理删除节点有2个孩子节点时,在思考用指针直接处理,还是用一个临时变量来操作,最后选择了临时变量节点来处理,具体为什么,因为简单,而且仔细想了想这样处理是没错的,node里data基本只是一个keyValue,用在avl里查找,删除,构造做参考的,这个地方也有考虑用指针,也实现了,基本没多大问题,后来出bug的时候在那理了半天,实在受不了,把他改造了。

    另外printAVL的函数直接copy BTree的,这个没什么好说的,还有AVL查找,这个真的不用我写了。本文主要就实现任意的一个数组构造AVLTree,删除AVLTree的任意个节点,保证AVLTree的特性。

    具体贴代码,如下,测试的例子,都ok的,具体的放开,还有千万一定要吐槽我的变量命名及注释及很多,我在改,下次写的时候一定注意。

    /*运行环境QT C   */

       1 #include <stdio.h>
       2 #define DEBUG 0
       3 //参考图http://www.cnblogs.com/skywang12345/p/3577360.html
       4 #define PRINTTREEINIT(a)
       5         printf("------------------init Tree begin-------------
    ");
       6         PrintBTree(a);
       7         printf("------------------init Tree end-------------
    ");
       8 #define PRINTTREEAVL(a)
       9         printf("------------------AVL Tree begin-------------
    ");
      10         PrintBTree(a);
      11         printf("------------------AVL Tree end-------------
    ");
      12 
      13 #define PRINTTREEDEL(a)
      14         printf("------------------after del node Tree begin-------------
    ");
      15         PrintBTree(a);
      16         printf("------------------after del nodeTree end-------------
    ");
      17 
      18 #define PRINTTREEADJ(a)
      19         printf("------------------after adjust  Tree begin-------------
    ");
      20         PrintBTree(a);
      21         printf("------------------after adjust Tree end-------------
    ");
      22 #define L 1
      23 #define R -1
      24 #define BTREE AVLTree
      25 typedef struct treenode
      26  {
      27      int data;
      28      int hight;
      29      struct treenode *parent;
      30      struct treenode *lchild;
      31      struct treenode *rchild;
      32 } TreeNode;
      33 typedef enum {LL=0,LR,RR,RL,RLR} TURNFLAG;
      34 typedef TreeNode* AVLTree;
      35 typedef int DATATYPE;
      36 int IsLeafNode(TreeNode* Node);
      37 //void DeleteNode(AVLTree* btree, DATATYPE delData);
      38 void DeleteNode(AVLTree* btree, DATATYPE delData);
      39 
      40 TreeNode* InitNode(int data);
      41 void InitAVLTree(AVLTree *avlTree, TreeNode *root);
      42 
      43 TreeNode *GetFixNode(AVLTree *btree, DATATYPE data);
      44 int GetTreeHight(AVLTree *btree);
      45 TreeNode *InsertNode(TreeNode* parNode, DATATYPE data);
      46 int GetDiffHeight(TreeNode* rootNode);
      47 int AdjustNode(TreeNode* posNode, AVLTree *avlTree);
      48 int GetSymDiffHeight(TreeNode* rootNode);
      49 int IsRoot(TreeNode* rootNode);
      50 int IsLChild(TreeNode* rootNode);
      51 TreeNode *GetMaxNode(TreeNode* rootNode);
      52 TreeNode *GetMinNode(TreeNode* rootNode);
      53 TreeNode* AdjustNodeByTurnFlag(TreeNode** Node,TURNFLAG a, AVLTree *avlTree);
      54 void PrintNTab(int num);
      55 void PrintBTree(BTREE* btree);
      56 void PrintViewTreeNode(TreeNode* treeNode, int num);
      57 TreeNode* GetPosByKeyValue(TreeNode* rootNode,int key);
      58 int GetChildNum(TreeNode* rootNode);
      59 int GetChildNum(TreeNode* curNode)
      60 {
      61    if((NULL != curNode->lchild)&&(NULL != curNode->rchild))  return 2;
      62    if((NULL != curNode->lchild)&&(NULL == curNode->rchild))  return 1;
      63    if((NULL == curNode->lchild)&&(NULL != curNode->rchild))  return -1;
      64    if((NULL == curNode->lchild)&&(NULL == curNode->rchild))  return 0;
      65 
      66 }
      67 TreeNode *GetMaxNode(TreeNode* rootNode)
      68 {
      69     if(rootNode == NULL) return NULL;
      70     if(NULL == rootNode->rchild) return rootNode;
      71     TreeNode *curNode  = rootNode;
      72     while((NULL != curNode)&&(NULL != curNode->rchild))
      73     {
      74         curNode = curNode->rchild;
      75     }
      76     return curNode;
      77 }
      78 
      79 TreeNode *GetMinNode(TreeNode* rootNode)
      80 {
      81     if(rootNode == NULL) return NULL;
      82     if(NULL == rootNode->lchild) return rootNode;
      83     TreeNode *curNode  = rootNode;
      84     while((NULL != curNode)&&(NULL != curNode->lchild))
      85     {
      86         curNode = curNode->lchild;
      87     }
      88     return curNode;
      89 }
      90 
      91 TreeNode* GetPosByKeyValue(TreeNode* rootNode,int data)
      92 {
      93     if(rootNode == NULL) return NULL;
      94     if(data == rootNode->data) return rootNode;
      95 
      96 
      97     TreeNode* curTreeNode = rootNode;
      98 
      99     while( NULL != curTreeNode )
     100     {
     101         if(data > curTreeNode->data)
     102         {
     103             if(curTreeNode->rchild != NULL)
     104             {
     105                 //printf("curTreeNode->rchild != NULL rchild[%d]
    ", curTreeNode->rchild->data);
     106                 curTreeNode = curTreeNode->rchild;
     107             }else{
     108                 curTreeNode = NULL;
     109                 break;
     110             }
     111         }
     112         else if(data < curTreeNode->data)
     113         {
     114             if(curTreeNode->lchild != NULL)
     115             {
     116                 curTreeNode = curTreeNode->lchild;
     117             }else{
     118                 curTreeNode = NULL;
     119                 break;
     120             }
     121         }
     122         else
     123         {
     124             printf("find key.
    ", __LINE__);
     125             return curTreeNode;
     126         }
     127 
     128     }
     129     if(NULL == curTreeNode)
     130     {
     131         printf("Not find key.
    ", __LINE__);
     132         return curTreeNode;
     133     }
     134 
     135 }
     136 void PrintViewTreeNode(TreeNode* treeNode, int num)
     137 {
     138     if(NULL == treeNode) return ;
     139     num++;
     140     printf("%d", treeNode->data);
     141     if(treeNode->lchild == NULL)
     142     {
     143         printf("
    ");
     144         PrintNTab(num);
     145         printf("*");
     146     }
     147     else
     148     {    printf("
    ");
     149          PrintNTab(num);
     150          PrintViewTreeNode(treeNode->lchild, num);
     151     }
     152     if(treeNode->rchild == NULL)
     153     {
     154         printf("
    ");
     155         PrintNTab(num);
     156         printf("&");
     157 
     158     }
     159     else
     160     {
     161         printf("
    ");
     162         PrintNTab(num);
     163         PrintViewTreeNode(treeNode->rchild, num);
     164 
     165     }
     166 
     167 
     168 }
     169 void PrintBTree(BTREE* btree)
     170 {
     171     int num = 0;
     172     if(btree==NULL)
     173     {
     174         printf("empty tree.
    ");
     175     }
     176 
     177     printf("***********TREE View BEGIN***********
    ");
     178     //PrintTreeNode((*btree));
     179     PrintViewTreeNode(*btree, num);
     180     printf("
    ");
     181     printf("***********TREE View END ***********
    ");
     182     printf("
    ");
     183 
     184     printf("
    ");
     185 
     186 
     187 }
     188 void PrintNTab(int num)
     189 {
     190     int i = 0;
     191 
     192     while(i<num)
     193     {
     194        printf("    ");
     195        i++;
     196     }
     197 }
     198 TreeNode* AdjustNodeByTurnFlag(TreeNode** node,TURNFLAG tFlag,AVLTree *avlTree)
     199 {//* >  ->优先级
     200     TreeNode* nodeTmp = (TreeNode* )malloc(sizeof(TreeNode));
     201     TreeNode* freeNode = NULL;
     202     int isRootNode = 0;
     203     int sdh = 0;
     204     int iRet = 0;
     205     memset(nodeTmp, 0x00, sizeof(TreeNode));
     206     if(((tFlag>3) ||(tFlag <0)|| ((*node)==NULL))) return NULL;
     207     switch (tFlag){
     208         case LL:
     209             freeNode = *node;
     210             memcpy(nodeTmp,(*node)->lchild,sizeof(TreeNode));
     211             *node = (*node)->lchild;
     212 
     213             (*node)->parent = nodeTmp->parent;
     214             iRet = IsLChild(freeNode);
     215             if(iRet == -1)
     216             {
     217                 //root
     218                 isRootNode = 1;
     219             }
     220             else if(1 == iRet)
     221             {
     222                 //isLchild
     223                 freeNode->parent->lchild = *node;
     224             }
     225             else if(0 == iRet)
     226             {
     227                 //isRchild
     228                 freeNode->parent->rchild = *node;
     229             }
     230 
     231             (*node)->rchild = freeNode;
     232             freeNode->parent = *node;
     233 
     234             freeNode->lchild = nodeTmp->rchild;
     235             if(NULL != nodeTmp->rchild)
     236             {
     237                 freeNode->lchild->parent = freeNode;
     238             }
     239             if(isRootNode)
     240             {
     241                 *avlTree = *node;
     242             }
     243             free(nodeTmp);
     244             break;
     245         case LR:
     246             freeNode = *node;
     247             memcpy(nodeTmp,(*node)->lchild->rchild,sizeof(TreeNode));
     248             *node = (*node)->lchild->rchild;
     249             (*node)->parent = freeNode->parent;
     250             iRet = IsLChild(freeNode);
     251             if(iRet == -1)
     252             {
     253                 //root
     254                 isRootNode = 1;
     255             }
     256             else if(1 == iRet)
     257             {
     258                 //isLchild
     259                 freeNode->parent->lchild = *node;
     260             }
     261             else if(0 == iRet)
     262             {
     263                 //isRchild
     264                 freeNode->parent->rchild = *node;
     265 
     266             }
     267             (*node)->lchild = freeNode->lchild;
     268             freeNode->lchild->parent = *(node);
     269             freeNode->lchild->rchild = NULL;
     270             freeNode->lchild = NULL;
     271 
     272             (*node)->rchild = freeNode;
     273             freeNode->parent = *(node);
     274 
     275             freeNode->lchild = nodeTmp->rchild;
     276             (*node)->lchild->rchild = nodeTmp->lchild;
     277             if(NULL != nodeTmp->rchild)
     278             {
     279                 nodeTmp->rchild->parent = freeNode;
     280             }
     281             if(NULL != nodeTmp->lchild)
     282             {
     283                 nodeTmp->lchild->parent = (*node)->lchild;
     284             }
     285 
     286             if(isRootNode)
     287             {
     288                 *avlTree = *node;
     289             }
     290             free(nodeTmp);
     291             break;
     292 
     293         case RR:
     294             //直接改变指针,所以入参是二级指针
     295             freeNode = *node;
     296             memcpy(nodeTmp,*node,sizeof(TreeNode));
     297             *node=(*node)->rchild;
     298 
     299             if(nodeTmp->parent != NULL)
     300             {
     301                 if(IsLChild(nodeTmp)){nodeTmp->parent->lchild = *node;}
     302                 else {nodeTmp->parent->rchild = *node;}
     303             }
     304             else
     305             {
     306              //说明nodeTmp是根节点,要改变树的节点
     307                 isRootNode = 1;
     308             }
     309 
     310             if((*node)->lchild){
     311                 nodeTmp->rchild = (*node)->lchild;
     312                 (*node)->lchild->parent = nodeTmp;
     313             }
     314             (*node)->parent = nodeTmp->parent;
     315             (*node)->lchild = nodeTmp;
     316             nodeTmp->parent = *node;
     317             if(isRootNode)
     318             {
     319                 *avlTree = *node;
     320             }
     321             free(freeNode);
     322             //树的根节点被改了,这里要注意,刚好玩玩二级指针
     323              break;
     324         case RL:
     325             freeNode = *node;
     326             memcpy(nodeTmp,(*node)->rchild->lchild,sizeof(TreeNode));
     327             *node = (*node)->rchild->lchild;
     328             (*node)->parent = freeNode->parent;
     329             iRet = IsLChild(freeNode);
     330             if(iRet == -1)
     331             {
     332                 //root
     333                 isRootNode = 1;
     334             }
     335             else if(1 == iRet)
     336             {
     337                 //isLchild
     338                 freeNode->parent->lchild = *node;
     339             }
     340             else if(0 == iRet)
     341             {
     342                 //isRchild
     343                 freeNode->parent->rchild = *node;
     344 
     345             }
     346             (*node)->rchild = freeNode->rchild;
     347             freeNode->rchild->parent = *(node);
     348             freeNode->rchild->lchild = NULL;
     349             freeNode->rchild = NULL;
     350 
     351             (*node)->lchild = freeNode;
     352             freeNode->parent = *(node);
     353 
     354             freeNode->rchild = nodeTmp->lchild;
     355             (*node)->rchild->lchild = nodeTmp->rchild;
     356             if(NULL != nodeTmp->lchild)
     357             {
     358                 nodeTmp->lchild->parent = freeNode;
     359             }
     360             if(NULL != nodeTmp->rchild)
     361             {
     362                 nodeTmp->rchild->parent = (*node)->rchild;
     363             }
     364 
     365             if(isRootNode)
     366             {
     367                 *avlTree = *node;
     368             }
     369             free(nodeTmp);
     370             break;
     371         default:
     372              break;
     373         }
     374     return *node;
     375 
     376 }
     377 
     378 //1->is
     379 int IsLChild(TreeNode* sonNode)
     380 {
     381     if(sonNode->parent ==NULL)return -1;
     382     return ((sonNode->parent->lchild == sonNode)?1:0);
     383 }
     384 
     385 
     386 //1->is
     387 int IsRoot(TreeNode* rootNode)
     388 {
     389     return(rootNode->parent == NULL);
     390 }
     391 int GetDiffHeight(TreeNode* rootNode)
     392 {
     393 
     394     int lh=GetTreeHight((AVLTree*)&(rootNode->lchild));//L
     395     int rh=GetTreeHight((AVLTree*)&(rootNode->rchild));//R
     396     return ((lh>rh)?(lh-rh):(rh-lh));
     397 }
     398 
     399 int GetSymDiffHeight(TreeNode* rootNode)
     400 {
     401     int lh=GetTreeHight((AVLTree*)&(rootNode->lchild));//L
     402     int rh=GetTreeHight((AVLTree*)&(rootNode->rchild));//L
     403     return  (lh-rh);
     404 }
     405 
     406 int AdjustNode(TreeNode* posNode, AVLTree* avlTree)
     407 {//这个函数写的有点问题,如果传入的posNode  dh = 2时候,而起父节点平衡了,就会少调整一部分,所以入posNode尽量用son
     408     int dh = GetDiffHeight(posNode);
     409     int sdh = 0;
     410     int sSondh = 0;
     411     if(0== dh)return 0;
     412     if(2 == dh)
     413     {
     414         //这个地方后补上去的,感觉这个AVL树写的到处是漏洞啊汗
     415         if(NULL != posNode->lchild)
     416         {
     417             posNode = posNode->lchild;
     418         }
     419         else if(NULL != posNode->rchild)
     420         {
     421             posNode = posNode->rchild;
     422         }
     423     }
     424 
     425     TreeNode *parNode = posNode->parent;
     426     if(NULL == parNode ) return 0;
     427     dh = GetDiffHeight(parNode);
     428     //l-r =0
     429     while(parNode&&dh)
     430     {
     431         if(2==dh)
     432         {
     433             sdh = GetSymDiffHeight(parNode);
     434             if(-2 == sdh)
     435             {
     436                 //in RL
     437                 sSondh = GetSymDiffHeight((parNode->rchild));
     438                 if(1==sSondh)
     439                 {
     440                     //RL
     441                     AdjustNodeByTurnFlag(&parNode,RL,avlTree);
     442                     PrintBTree(avlTree);
     443                 }
     444                 else
     445                 {
     446                     //RR
     447                    AdjustNodeByTurnFlag(&parNode,RR,avlTree);
     448                 }
     449             }
     450             else
     451             {
     452                 //in L
     453                 sSondh = GetSymDiffHeight(parNode->lchild);
     454                 if(1==sSondh)
     455                 {
     456                     //LL
     457                     AdjustNodeByTurnFlag(&parNode,LL,avlTree);
     458                 }
     459                 else
     460                 {
     461                     //LR
     462                     AdjustNodeByTurnFlag(&parNode,LR,avlTree);
     463                 }
     464             }
     465             break;
     466         }
     467         parNode = parNode->parent;
     468         if(parNode != NULL)
     469         {
     470             dh = GetDiffHeight(parNode);
     471 
     472         }
     473     }
     474 
     475 }
     476 TreeNode *InsertNode(TreeNode* parNode, DATATYPE data)
     477 {
     478     TreeNode* sonTreeNode = InitNode(data);
     479     if((parNode->lchild != NULL)&&(parNode->rchild == NULL)) parNode->rchild = sonTreeNode;
     480     if((parNode->rchild != NULL)&&(parNode->lchild == NULL)) parNode->lchild = sonTreeNode;
     481     if((parNode->rchild == NULL)&&(parNode->lchild == NULL))
     482     {
     483         if(data < parNode->data)
     484         {
     485              parNode->lchild = sonTreeNode;
     486         }
     487         else{
     488             parNode->rchild = sonTreeNode;
     489 
     490         }
     491     }
     492     sonTreeNode->parent = parNode;
     493 
     494     return sonTreeNode;
     495 
     496 }
     497 
     498 int IsLeafNode(TreeNode* Node)
     499 {
     500     return ((Node->lchild == NULL)&&(Node->rchild == NULL));
     501 }
     502 
     503 int GetTreeHight(AVLTree *btree)
     504 {//这里后来处理,空树的高度是0,根节点的高度1
     505     TreeNode*curNode = *btree;
     506     if((curNode ==NULL)) return 0;
     507     if(IsLeafNode(curNode)) return 1;
     508 
     509 
     510     if(((curNode->lchild != NULL)&&(curNode->rchild ==NULL)&&IsLeafNode(curNode->lchild))
     511             ||((curNode->lchild == NULL)&&(curNode->rchild !=NULL)&&IsLeafNode(curNode->rchild))
     512             ||((curNode->lchild != NULL)&&(curNode->rchild !=NULL)&&IsLeafNode(curNode->rchild)&&IsLeafNode(curNode->lchild))
     513             )
     514     return 2;
     515     int leftHeight = GetTreeHight((AVLTree*)&((*btree)->lchild));
     516     int rightHeight = GetTreeHight((AVLTree*)&((*btree)->rchild));
     517     return ((leftHeight>rightHeight)?leftHeight:rightHeight)+1;
     518 
     519 }
     520 TreeNode* InitNode(int data)
     521 {
     522     TreeNode* newNode  = (TreeNode*)malloc(sizeof(TreeNode));
     523     memset(newNode, 0x00, sizeof(TreeNode));
     524     newNode->data = data;
     525     newNode->hight = 0;
     526     return newNode;
     527 }
     528 //return rootNode addr
     529 void InitAVLTree(AVLTree *avlTree, TreeNode *root)
     530 {
     531     *avlTree = root;
     532 }
     533 
     534 //查找合适的位置来插入新元素(find parent)
     535 TreeNode* GetFixNode(AVLTree *AVLTree, DATATYPE data)
     536 {
     537      if((AVLTree == NULL ))
     538      {
     539          return NULL;
     540      }
     541 
     542      if(((*AVLTree)->lchild == NULL)
     543              &&((*AVLTree)->rchild == NULL))
     544      {
     545          //InsertNode(*AVLTree ,data);
     546 #if DEBUG
     547          printf("insert under root 
    ");
     548 #endif
     549          return *AVLTree;
     550      }
     551      TreeNode* curTreeNode = (TreeNode*)malloc(sizeof(TreeNode));
     552      curTreeNode = *AVLTree;
     553      while( (curTreeNode->lchild != NULL)
     554            ||(curTreeNode->rchild !=NULL) )
     555      {
     556          if(data > curTreeNode->data)
     557          {
     558 #if DEBUG
     559              printf(" data=[%d] curData=[%d] insert R 
    ", data, curTreeNode->data);
     560 #endif
     561              if(curTreeNode->rchild != NULL)
     562              {
     563 #if DEBUG
     564                  printf("curTreeNode->rchild != NULL rchild[%d]
    ", curTreeNode->rchild->data);
     565 #endif
     566                  curTreeNode = curTreeNode->rchild;
     567 
     568              }else{
     569 
     570                  break;
     571              }
     572          }
     573          else if(data < curTreeNode->data)
     574          {
     575 #if DEBUG
     576              printf(" data=[%d] curData=[%d] insert L 
    ", data, curTreeNode->data);
     577 #endif
     578              if(curTreeNode->lchild != NULL)
     579              {
     580                  curTreeNode = curTreeNode->lchild;
     581              }else{
     582 
     583                  break;
     584              }
     585          }
     586          else
     587          {
     588              printf("invaild elem here at line %d.
    ", __LINE__);
     589              return NULL;
     590          }
     591 
     592      }
     593      return curTreeNode;
     594 
     595 }
     596 
     597 //contruct tree
     598 AVLTree* InitBTree(DATATYPE oriData[],  int size)
     599 {
     600     int iRet = -1;
     601     AVLTree* avlTree = NULL;
     602     avlTree = (AVLTree*)malloc(sizeof(AVLTree));
     603     //*avlTree = (TreeNode*)malloc(sizeof(TreeNode));
     604     int pos = size;
     605     TreeNode* rootNode = InitNode(oriData[0]);
     606     InitAVLTree(avlTree, rootNode);
     607 
     608     TreeNode *posNode = (TreeNode*)malloc(sizeof(TreeNode));
     609     while(pos>1)
     610     {
     611 #if DEBUG
     612         printf("********begin one*************
    ");
     613         printf("pos = [%d] index =[%d] data[%d]
    ", pos, size-pos+1, oriData[size-pos+1]);
     614 #endif
     615         posNode = GetFixNode(avlTree, oriData[size-pos+1]);
     616 #if DEBUG
     617         printf("Parent = [%d] Insert data=[%d]  
    ", posNode->data, oriData[size-pos+1] );
     618 #endif
     619         InsertNode(posNode, oriData[size-pos+1]);
     620         //judge and confit
     621         //PrintBTree(avlTree);
     622 
     623         iRet = AdjustNode(posNode, avlTree);
     624         pos--;
     625 #if DEBUG
     626         printf("********end one*************
    
    ");
     627 #endif
     628         //PrintBTree(avlTree);
     629 
     630 
     631     }
     632     //PrintBTree(avlTree);
     633     return avlTree;
     634 
     635 }
     636 
     637 
     638 void DeleteNode(AVLTree* avlTree, DATATYPE delKey)
     639 {
     640     TreeNode* posNode = GetPosByKeyValue(*avlTree,delKey);
     641     int iIsRootNode = 0;
     642     int iIsLchlid = 0;
     643 
     644     int iHight = 0; /*处理传入节点in,freeNode 是 in的直接孩子节点情况,这个最早写的时候考虑不周*/
     645 
     646     if(posNode == *avlTree)
     647     {
     648         printf("del root node
    ");
     649         iIsRootNode = 1;
     650     }
     651     /*看到定义的变量没用,感觉好恶心*/
     652     //TreeNode* parNode = NULL;//这个是临时变量,后面写,发现定义parnode是错的,应该定义tmpNode
     653     TreeNode* freeNode = NULL;//这个是临时变量,后面写 ,应该定义tmpNode
     654     //TreeNode* freeNodePar = NULL;//这个是临时变量,后面写 ,应该定义tmpNode
     655     //TreeNode* curNode  = NULL;//这个是临时变量,后面写 ,应该定义tmpNode
     656 
     657     //TreeNode* pLeftChildOfPosNode = NULL;
     658     //TreeNode* pRightChildOfPosNode = NULL;
     659     TreeNode* pParentOfPosNode = NULL;
     660     //TreeNode* pCurPosNode = NULL;
     661 
     662 
     663     //TreeNode* pLeftChildOfFreeNode = NULL;
     664     //TreeNode* pRightChildOfFreeNode = NULL;
     665     TreeNode* pParentOfFreeNode = NULL;
     666     TreeNode  stTmpNode;
     667     memset(&stTmpNode, 0x00, sizeof(TreeNode));
     668 
     669     int iFlagLR = 0;//judge isLchild
     670     int iTagIsSon = 0;//judge isLchild
     671 
     672     int sdh = 0;//diff LR height of node
     673     int iChildNum = 0;
     674     int iNum = 0;
     675     if(NULL != posNode )
     676     {
     677         iChildNum = GetChildNum(posNode);
     678         iFlagLR = IsLChild(posNode);
     679 
     680         if(0 == iChildNum)
     681         {
     682             if(iIsRootNode)
     683             {
     684                 free(posNode);
     685                 *avlTree = NULL;
     686                 return;
     687             }
     688             else
     689             {
     690                 //isLeafNode
     691                 pParentOfPosNode = posNode->parent;
     692 
     693                 if(1 == iFlagLR)
     694                 {
     695                     //L
     696                     pParentOfPosNode->lchild = NULL;
     697 
     698                 }else if(0 == iFlagLR)
     699                 {
     700                     pParentOfPosNode->rchild = NULL;
     701                 }
     702                 free(posNode);
     703                 AdjustNode(pParentOfPosNode, avlTree);
     704 
     705             }
     706 
     707         }
     708         else if(1 == iChildNum)
     709         {
     710             /*这段逻辑是最早写的,后来重理逻辑,理的很复杂,后来的逻辑基本是处理节点方法*/
     711             pParentOfPosNode = posNode;
     712             posNode = posNode->lchild;
     713             if(iIsRootNode)
     714             {
     715                 *avlTree =  posNode;
     716             }
     717             else
     718             {
     719                 if(1 == iFlagLR)
     720                 {
     721                     //L
     722                     pParentOfPosNode->parent->lchild = posNode ;
     723                 }else if(0 == iFlagLR)
     724                 {
     725                     pParentOfPosNode->parent->rchild = posNode ;
     726                 }
     727             }
     728             posNode->parent = pParentOfPosNode->parent;
     729             free(pParentOfPosNode);
     730             AdjustNode(posNode, avlTree);
     731         }
     732         else if(-1 == iChildNum)
     733         {
     734             pParentOfPosNode = posNode;
     735             posNode = posNode->rchild;
     736             if(iIsRootNode)
     737             {
     738                 *avlTree =  posNode;
     739             }
     740             else
     741             {
     742                 if(1 == iFlagLR)
     743                 {
     744                     //L
     745                     pParentOfPosNode->parent->lchild = posNode ;
     746                 }
     747                 else if(0 == iFlagLR)
     748                 {
     749                     pParentOfPosNode->parent->rchild = posNode ;
     750                 }
     751             }
     752             posNode->parent = pParentOfPosNode->parent;
     753             free(pParentOfPosNode);
     754             AdjustNode(posNode, avlTree);
     755         }
     756         else if(2 == iChildNum)
     757         {
     758 
     759           /*********begin**********/
     760             sdh = GetSymDiffHeight(posNode);
     761             if((1 == sdh)
     762                     ||(0 == sdh))
     763             {
     764                 //左子树比右子树高,调整左子树
     765                 //pCurPosNode = posNode;
     766                 freeNode = GetMaxNode(posNode->lchild);
     767                 iNum = GetChildNum(freeNode);
     768                 memset(&stTmpNode, 0x00, sizeof(TreeNode));
     769                 memcpy(&stTmpNode, freeNode, sizeof(TreeNode));
     770                 memcpy(freeNode, posNode, sizeof(TreeNode));
     771                 freeNode->data = stTmpNode.data;
     772                 if(iIsRootNode){
     773                     *avlTree = freeNode;
     774                 }
     775                 else
     776                 {
     777                     if(iFlagLR)
     778                     {
     779                         posNode->parent->lchild = freeNode;
     780                     }
     781                     else
     782                     {
     783                         posNode->parent->rchild = freeNode;
     784                     }
     785                 }
     786                 if(0 == iNum)
     787                 {/*process*/
     788 
     789                     pParentOfFreeNode = stTmpNode.parent;
     790                     if(stTmpNode.parent != posNode)
     791                     {
     792                         posNode->lchild->parent = freeNode;
     793                         posNode->rchild->parent = freeNode;
     794                         pParentOfFreeNode->rchild = NULL;
     795                     }
     796                     else
     797                     {
     798                         freeNode->lchild = NULL;
     799                     }
     800 
     801                     free(posNode);
     802 
     803                     if(stTmpNode.parent != posNode)
     804                     {
     805                         AdjustNode(pParentOfFreeNode, avlTree);
     806                     }
     807                     else
     808                     {
     809                         AdjustNode(freeNode, avlTree);
     810                     }
     811 
     812 
     813                 }
     814                 else if(1 == iNum)
     815                 {
     816                     /*这个属于异常分支,会指向自己*/
     817                     //process posNode
     818                     if(stTmpNode.parent != posNode)
     819                     {
     820                         posNode->lchild->parent = freeNode;
     821                         posNode->rchild->parent = freeNode;
     822 
     823                     }
     824                     else
     825                     {
     826                         stTmpNode.lchild->parent = freeNode;
     827                         posNode->rchild->parent = freeNode;
     828                     }
     829                     //process freeNode
     830                     if(stTmpNode.parent != posNode)
     831                     {
     832                         stTmpNode.lchild->parent  = stTmpNode.parent;
     833                         stTmpNode.parent->rchild = stTmpNode.lchild;
     834                     }
     835                     else
     836                     {
     837                         stTmpNode.lchild->parent = freeNode;
     838                         freeNode->lchild = stTmpNode.lchild;
     839                     }
     840 
     841                     free(posNode);
     842                     //AdjustNode(stTmpNode.parent, avlTree);
     843                     if(stTmpNode.parent != posNode)
     844                     {
     845                         AdjustNode(stTmpNode.parent, avlTree);
     846                     }
     847                     else
     848                     {
     849                         AdjustNode(freeNode, avlTree);
     850                     }
     851 
     852                 }
     853             }
     854             else if(-1 == sdh)
     855             {
     856                 //左子树比右子树低,调整右子树
     857                 //pCurPosNode = posNode;
     858                 freeNode = GetMinNode(posNode->rchild);
     859                 iNum = GetChildNum(freeNode);
     860                 memset(&stTmpNode, 0x00, sizeof(TreeNode));
     861                 memcpy(&stTmpNode, freeNode, sizeof(TreeNode));
     862                 memcpy(freeNode, posNode, sizeof(TreeNode));
     863                 freeNode->data = stTmpNode.data;
     864                 if(iIsRootNode){
     865                     *avlTree = freeNode;
     866                 }
     867                 else
     868                 {
     869                     if(iFlagLR)
     870                     {
     871                         posNode->parent->lchild = freeNode;
     872                     }
     873                     else
     874                     {
     875                         posNode->parent->rchild = freeNode;
     876                     }
     877                 }
     878                 if(0 == iNum)
     879                 {/*process*/
     880                     pParentOfFreeNode = stTmpNode.parent;
     881                     if(stTmpNode.parent != posNode)
     882                     {
     883                         posNode->lchild->parent = freeNode;
     884                         posNode->rchild->parent = freeNode;
     885                         pParentOfFreeNode->lchild = NULL;
     886                     }
     887                     else
     888                     {
     889                         freeNode->rchild = NULL;
     890                     }
     891 
     892                     free(posNode);
     893 
     894                     if(stTmpNode.parent != posNode)
     895                     {
     896                         AdjustNode(pParentOfFreeNode, avlTree);
     897                     }
     898                     else
     899                     {
     900                         AdjustNode(freeNode, avlTree);
     901                     }
     902                    #if  0
     903                     pParentOfFreeNode = stTmpNode.parent;
     904 
     905                     posNode->lchild->parent = freeNode;
     906                     posNode->rchild->parent = freeNode;
     907                     pParentOfFreeNode->lchild = NULL;
     908                     free(posNode);
     909                     AdjustNode(pParentOfFreeNode, avlTree);
     910 #endif
     911 
     912                 }
     913                 else if(-1 == iNum)
     914                 {
     915                     /*这个属于异常分支,会指向自己*/
     916                     //process posNode
     917                     if(stTmpNode.parent != posNode)
     918                     {
     919                         posNode->lchild->parent = freeNode;
     920                         posNode->rchild->parent = freeNode;
     921 
     922                     }
     923                     else
     924                     {
     925                         stTmpNode.rchild->parent = freeNode;
     926                         posNode->lchild->parent = freeNode;
     927                     }
     928                     //process freeNode
     929                     if(stTmpNode.parent != posNode)
     930                     {
     931                         stTmpNode.rchild->parent  = stTmpNode.parent;
     932                         stTmpNode.parent->lchild = stTmpNode.rchild;
     933                     }
     934                     else
     935                     {
     936                         stTmpNode.rchild->parent = freeNode;
     937                         freeNode->rchild = stTmpNode.rchild;
     938                     }
     939 
     940                     free(posNode);
     941                     if(stTmpNode.parent != posNode)
     942                     {
     943                         AdjustNode(stTmpNode.parent, avlTree);
     944                     }
     945                     else
     946                     {
     947                         AdjustNode(freeNode, avlTree);
     948                     }
     949 
     950                 }
     951             }
     952         }
     953     }
     954     else
     955     {
     956         printf("can not find the key .
    ");
     957     }
     958 }
     959 void DelNodeTestCase()
     960 {
     961 #if 0
     962     int arr[5]={10, 8, 14, 12, 15};//del root
     963     AVLTree *avlTree = InitBTree(arr, 5);
     964     PRINTTREEINIT(avlTree);
     965 
     966     int delKey = 10;
     967     DeleteNode(avlTree, delKey);
     968     PRINTTREEDEL(avlTree);
     969 #endif
     970 #if 0
     971     int arr[1]={10};//del root
     972     AVLTree *avlTree = InitBTree(arr, 1);
     973     PRINTTREEINIT(avlTree);
     974 
     975     int delKey = 10;
     976     DeleteNode(avlTree, delKey);
     977     PRINTTREEDEL(avlTree);
     978 #endif
     979 #if 0
     980     int arr[2]={10,15};//del root
     981     AVLTree *avlTree = InitBTree(arr, 2);
     982     PRINTTREEINIT(avlTree);
     983 
     984     int delKey = 10;
     985     DeleteNode(avlTree, delKey);
     986     PRINTTREEDEL(avlTree);
     987 #endif
     988 #if 0
     989     int arr[3]={10,15, 5};//del root
     990     AVLTree *avlTree = InitBTree(arr, 3);
     991     PRINTTREEINIT(avlTree);
     992 
     993     int delKey = 10;
     994     DeleteNode(avlTree, delKey);
     995     PRINTTREEDEL(avlTree);
     996 #endif
     997 
     998 #if 0
     999     int arr[3]={10,15, 5};
    1000     AVLTree *avlTree = InitBTree(arr, 3);
    1001     PRINTTREEINIT(avlTree);
    1002 
    1003     int delKey = 5;
    1004     DeleteNode(avlTree, delKey);
    1005     PRINTTREEDEL(avlTree);
    1006 #endif
    1007 
    1008 #if 0
    1009     int arr[7]={20,15, 25,7, 18, 22,19};
    1010     AVLTree *avlTree = InitBTree(arr, 7);
    1011     PRINTTREEINIT(avlTree);
    1012 
    1013     int delKey = 15;
    1014     DeleteNode(avlTree, delKey);
    1015     PRINTTREEDEL(avlTree);
    1016 #endif
    1017 #if 0
    1018     int arr[7]={20,15, 25,7, 18, 22,17};
    1019     AVLTree *avlTree = InitBTree(arr, 7);
    1020     PRINTTREEINIT(avlTree);
    1021 
    1022     int delKey = 15;
    1023     DeleteNode(avlTree, delKey);
    1024     PRINTTREEDEL(avlTree);
    1025 #endif
    1026 #if 0
    1027     int arr[7]={20,15, 25,7, 18, 22,17};
    1028     AVLTree *avlTree = InitBTree(arr, 7);
    1029     PRINTTREEINIT(avlTree);
    1030 
    1031     int delKey = 18;
    1032     DeleteNode(avlTree, delKey);
    1033     PRINTTREEDEL(avlTree);
    1034 #endif
    1035 #if 0
    1036     int arr[6]={20,15, 25,7, 18, 22};
    1037     AVLTree *avlTree = InitBTree(arr, sizeof(arr)/sizeof(arr[0]));
    1038     PRINTTREEINIT(avlTree);
    1039 
    1040     int delKey = 15;
    1041     DeleteNode(avlTree, delKey);
    1042     PRINTTREEDEL(avlTree);
    1043 #endif
    1044 #if 0
    1045     int arr[5]={20,15, 25,7,  22};
    1046     AVLTree *avlTree = InitBTree(arr, sizeof(arr)/sizeof(arr[0]));
    1047     PRINTTREEINIT(avlTree);
    1048 
    1049     int delKey = 15;
    1050     DeleteNode(avlTree, delKey);
    1051     PRINTTREEDEL(avlTree);
    1052 #endif
    1053 #if 0
    1054     int arr[13]={20,15, 25,7, 18, 22,30, 5, 9, 16,19,40, 17};
    1055     AVLTree *avlTree = InitBTree(arr,  sizeof(arr)/sizeof(arr[0]));
    1056     PRINTTREEINIT(avlTree);
    1057 
    1058     int delKey = 15;
    1059     DeleteNode(avlTree, delKey);
    1060     PRINTTREEDEL(avlTree);
    1061 #endif
    1062 #if 0
    1063     int arr[13]={20,15, 25,7, 18, 22,30, 5, 9, 17,19,40, 16};
    1064     AVLTree *avlTree = InitBTree(arr,  sizeof(arr)/sizeof(arr[0]));
    1065     PRINTTREEINIT(avlTree);
    1066 
    1067     int delKey = 15;
    1068     DeleteNode(avlTree, delKey);
    1069     PRINTTREEDEL(avlTree);
    1070 #endif
    1071 
    1072 #if 0
    1073     /*左子树中max叶子节点*/
    1074     int arr[13]={28,20, 40,18,25,30,50,16,19,22,26,60, 17};
    1075     AVLTree *avlTree = InitBTree(arr, 13);
    1076     PRINTTREEINIT(avlTree);
    1077 
    1078     int delKey = 20;
    1079     DeleteNode(avlTree, delKey);
    1080     PRINTTREEDEL(avlTree);
    1081 #endif
    1082 
    1083 #if 0
    1084     /*左子树中max叶子节点*/
    1085     int arr[13]={28,20, 40,18,25,30,50,17,19,22,26,60, 16};
    1086     AVLTree *avlTree = InitBTree(arr, sizeof(arr)/sizeof(arr[0]));
    1087     PRINTTREEINIT(avlTree);
    1088 
    1089     int delKey = 20;
    1090     DeleteNode(avlTree, delKey);
    1091     PRINTTREEDEL(avlTree);
    1092 #endif
    1093 #if 0
    1094     int arr[13]={20,15, 25,7, 18, 22,30, 5, 9, 16,19,40, 11};
    1095     AVLTree *avlTree = InitBTree(arr,  sizeof(arr)/sizeof(arr[0]));
    1096     PRINTTREEINIT(avlTree);
    1097 
    1098     int delKey = 15;
    1099     DeleteNode(avlTree, delKey);
    1100     PRINTTREEDEL(avlTree);
    1101 #endif
    1102 /*这个地方调整影响到其他的地方了*/
    1103 #if 0
    1104     int arr[13]={20,15, 25,7, 18, 22,30, 5, 11, 16,19,40, 9};
    1105     AVLTree *avlTree = InitBTree(arr,  sizeof(arr)/sizeof(arr[0]));
    1106     PRINTTREEINIT(avlTree);
    1107 
    1108     int delKey = 15;
    1109     DeleteNode(avlTree, delKey);
    1110     PRINTTREEDEL(avlTree);
    1111 #endif
    1112 
    1113 #if 0
    1114     /*左子树中max非叶子节点*/
    1115     int arr[13]={28,21, 40,18,25,30,50,16,20,22,26,60, 19};
    1116     AVLTree *avlTree = InitBTree(arr, 13);
    1117     PRINTTREEINIT(avlTree);
    1118 
    1119     int delKey = 21;
    1120     DeleteNode(avlTree, delKey);
    1121     PRINTTREEDEL(avlTree);
    1122 #endif
    1123 
    1124 #if 0
    1125     /*左子树中max非叶子节点*/
    1126     int arr[7]={28,21, 40,20,25,30,18};
    1127     AVLTree *avlTree = InitBTree(arr, 7);
    1128     PRINTTREEINIT(avlTree);
    1129 
    1130     int delKey = 21;
    1131     DeleteNode(avlTree, delKey);
    1132     PRINTTREEDEL(avlTree);
    1133 #endif
    1134 #if 1
    1135     /*左子树中max非叶子节点3个节点情况*/
    1136     int arr[6]={28,21, 40,18,25,30};
    1137     AVLTree *avlTree = InitBTree(arr, 7);
    1138     PRINTTREEINIT(avlTree);
    1139 
    1140     int delKey = 21;
    1141     DeleteNode(avlTree, delKey);
    1142     PRINTTREEDEL(avlTree);
    1143 #endif
    1144 }
    1145 void ConstAVLTree()
    1146 {
    1147 #if 1
    1148     //int arr[6]={10, 8, 14, 12, 15, 16};//RR
    1149     //int arr[6]={10, 8, 18, 12, 25, 19};//RR
    1150     //int arr[6]={10, 8, 14, 12, 15, 11};//RL(L)
    1151     //int arr[6]={10, 8, 14, 12, 15, 13};//RL(R)
    1152     //int arr[6]={20, 17, 25, 14, 18, 15};//LL(L)
    1153     //int arr[6]={20, 17, 25, 14, 18, 16};//LL(R)
    1154     //int arr[6]={20, 16, 25, 14, 18, 17};//LR(L)
    1155     int arr[6]={20, 16, 25, 14, 18, 19};//LR(R)
    1156     AVLTree *avlTree = InitBTree(arr, sizeof(arr)/sizeof(arr[0]));
    1157     PRINTTREEAVL(avlTree);
    1158     //int arr[12]={25, 14, 30, 8, 20, 28, 39, 7, 9, 18, 22, 19};//LR(R)
    1159     //int arr[12]={25, 14, 30, 8, 20, 28, 39, 7, 9, 18, 22, 17};//LR(L)
    1160     //int arr[12]={25, 14, 30, 8, 20, 28, 39, 7, 9, 18, 22, 6};//LL(L)
    1161     //int arr[12]={25, 10, 35, 8, 15, 29, 40, 27, 33, 38, 45, 26};//RL(L)
    1162     //int arr[12]={25, 10, 35, 8, 15, 29, 40, 27, 33, 38, 45, 50};//RR(L)
    1163 
    1164     //AVLTree *avlTree = InitBTree(arr, 12);
    1165 #endif
    1166 }
    1167 int main(void)
    1168 {
    1169     ConstAVLTree();
    1170     DelNodeTestCase();
    1171     return 0;
    1172 }
    View Code

    运行结果:------------------AVL Tree begin-------------
    ***********TREE View BEGIN***********
    18
        16
            14
                *
                &
            &
        20
            19
                *
                &
            25
                *
                &
    ***********TREE View END ***********


    ------------------AVL Tree end-------------
    ------------------init Tree begin-------------
    ***********TREE View BEGIN***********
    28
        21
            18
                *
                19
                    *
                    &
            25
                *
                &
        40
            30
                *
                &
            &
    ***********TREE View END ***********


    ------------------init Tree end-------------

    要写的数据结构又少一个哈哈哈哈哈哈

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  • 原文地址:https://www.cnblogs.com/ashen/p/6021588.html
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