PHP实现的线索二叉树及二叉树遍历方法详解

<"\n";从第一个结点开始遍历线索二叉树
  echo $tree->threadListReserv();从最后一个结点开始反向遍历
"htmlcode">

<"front":
          $this->frontList($this->root, $nodeList);
          break;
        case "middle":
          $this->middleList($this->root, $nodeList);
          break;
        case "last":
          $this->lastList($this->root, $nodeList);
          break;
        default:
          $this->frontList($this->root, $nodeList);
          break;
      }
      return implode($nodeList);
    }
    //创建线索二叉树
    public function createThreadTree(){
      $this->headNode = new Node();
      $this->preNode = & $this->headNode;
      $this->headNode->setLTag(0);
      $this->headNode->setLeft($this->root);
      $this->headNode->setRTag(1);
      $this->threadTraverse($this->root);
      $this->preNode->setRight($this->headNode);
      $this->preNode->setRTag(1);
      $this->headNode->setRight($this->preNode);
    }
    //线索化二叉树
    private function threadTraverse($node){
      if($node != NULL){
        if($node->getLeft() == NULL){
          $node->setLTag(1);
          $node->setLeft($this->preNode);
        }else{
          $this->threadTraverse($node->getLeft());
        }
        if($this->preNode != $this->headNode && $this->preNode->getRight() == NULL){
          $this->preNode->setRTag(1);
          $this->preNode->setRight($node);
        }
        $this->preNode = & $node;//注意传引用
        $this->threadTraverse($node->getRight());
      }
    }
    //从第一个结点遍历中序线索二叉树
    public function threadList(){
      $arr = array();
      for($node = $this->getFirstThreadNode($this->root); $node != $this->headNode; $node = $this->getNextNode($node)){
        $arr[] = $node->getData();
      }
      return implode($arr);
    }
    //从尾结点反向遍历中序线索二叉树
    public function threadListReserv(){
      $arr = array();
      for($node = $this->headNode->getRight(); $node != $this->headNode; $node = $this->getPreNode($node)){
        $arr[] = $node->getData();
      }
      return implode($arr);
    }
    //返回某个结点的前驱
    public function getPreNode($node){
      if($node->getLTag() == 1){
        return $node->getLeft();
      }else{
        return $this->getLastThreadNode($node->getLeft());
      }
    }
    //返回某个结点的后继
    public function getNextNode($node){
      if($node->getRTag() == 1){
        return $node->getRight();
      }else{
        return $this->getFirstThreadNode($node->getRight());
      }
    }
    //返回中序线索二叉树的第一个结点
    public function getFirstThreadNode($node){
      while($node->getLTag() == 0){
        $node = $node->getLeft();
      }
      return $node;
    }
    //返回中序线索二叉树的最后一个结点
    public function getLastThreadNode($node){
      while($node->getRTag() == 0){
        $node = $node->getRight();
      }
      return $node;
    }
    //前序遍历
    private function frontList($node, & $nodeList){
      if($node !== NULL){
        $nodeList[] = $node->getData();
        $this->frontList($node->getLeft(), $nodeList);
        $this->frontList($node->getRight(), $nodeList);
      }
    }
    //中序遍历
    private function middleList($node, & $nodeList){
      if($node != NULL){
        $this->middleList($node->getLeft(), $nodeList);
        $nodeList[] = $node->getData();
        $this->middleList($node->getRight(), $nodeList);
      }
    }
    //后序遍历
    private function lastList($node, & $nodeList){
      if($node != NULL){
        $this->lastList($node->getLeft(), $nodeList);
        $this->lastList($node->getRight(), $nodeList);
        $nodeList[] = $node->getData();
      }
    }
    public function getData(){
      return $this->data;
    }
    public function getRoot(){
      return $this->root;
    }
  }
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