从二进制搜索树中删除仅包含一个子节点的节点

时间:2014-01-24 21:29:09

标签: c++ binary-search-tree delete-operator

这是从二进制搜索树中删除节点的代码: 我的问题是:为什么我们将节点指针通过引用传递给DelSingle函数,但我们只将节点指针传递给DelDoubleByCopying函数?

template <class T>
bool BST<T>::DeleteNode(T& val)
{
BSTNode<T> * node = root, *prev = NULL;

if (IsEmpty() == true)
    return false;

while (node != NULL)
{
    if (node->val == val)
        break;
    prev = node;
    if (val < node->val)
        node = node->left;
    else
        node = node->right;
}

if (node == NULL)
    return false;

if (node->left == NULL || node->right == NULL)
{
    if (node == root)
        DelSingle(root);
    else if(node == prev->left)
        DelSingle(prev->left);
    else
        DelSingle(prev->right);
}
else
    DelDoubleByCopying(node);

return true;
}

template <class T>
void BST<T>::DelSingle(BSTNode<T>*& ptr)
{
BSTNode<T>* delNode = ptr;

if(delNode->left == NULL) // node does not have a left child
    ptr = delNode->right;
else if(delNode->right == NULL) // node does not have a right child
    ptr = delNode->left;
delete delNode;
}

template <class T>
void BST<T>::DelDoubleByCopying(BSTNode<T>* node)
{
BSTNode<T> *prev, *rep;

rep = node->left;  //Find the largest child in the left subtree
prev = node;
while (rep->right != NULL)
{
    prev = rep;
    rep = rep->right;
}
node->val = rep->val;
if (prev == node)
    prev->left = rep->left;
else
    prev->right = rep->left;
delete rep;
}

这是二进制搜索树节点的类:

template <class T>
class BSTNode
{ 
public:
BSTNode(T& val, BSTNode* left, BSTNode* right);
~BSTNode();
T GetVal();
BSTNode* GetLeft();
BSTNode* GetRight();

private:
T val;
BSTNode* left;
BSTNode* right;
int depth, height;
friend class BST<T>;
};

1 个答案:

答案 0 :(得分:1)

  • DelSingle()

考虑到以下结构

        parent
    ptr1    ptr2
child1

并且我们正在删除ptr1

基本上,DelSingle()做的是将child1ptr1交换然后搭乘child1child1不是ptr1曾经是)。

ptr通过引用传递,因为您实际更改指针,父亲的左子女不是child1

  • DelDoubleByCopying()

您不需要通过引用传递节点,因为node不会改变,更改者是node->left(或node->right)。