c++模板实现红黑树

红黑树概念及构建规则请百度

#include<assert.h>

enum Colour
{
    RED,
    BLACK,
};

template<class K, class V>
struct RBTreeNode
{
    RBTreeNode* _left;
    RBTreeNode* _right;
    RBTreeNode* _parent;

    K _key;
    V _value;

    Colour _col;

    RBTreeNode(const K& key, const V& value)
        :_left(NULL)
        , _right(NULL)
        , _parent(NULL)
        , _key(key)
        , _value(value)
        , _col(RED)
    {}
};

template<class K, class V>
class RBTree
{
    typedef RBTreeNode<K, V> Node;
public:
    RBTree()
        :_root(NULL)
    {}

    bool Insert(const K& key, const V& value)
    {
        if (_root == NULL)
        {
            _root = new Node(key, value);
            _root->_col = BLACK;
            return true;
        }

        Node* parent = NULL;
        Node* cur = _root;
        while (cur)
        {
            if (cur->_key < key)
            {
                parent = cur;
                cur = cur->_right;
            }
            else if (cur->_key > key)
            {
                parent = cur;
                cur = cur->_left;
            }
            else
            {
                return false;
            }
        }
        //插入位置找到
        cur = new Node(key, value);
        if (parent->_key < key)
        {
            parent->_right = cur;
            cur->_parent = parent;
        }
        else
        {
            parent->_left = cur;
            cur->_parent = parent;
        }

        // 检查规则,调平衡 
        //1,p为黑
        //2,p为红,u为红
        //3,p为红,u不存在或者为黑
        while (parent && parent->_col == RED)
        {
            Node* grandfather = parent->_parent;
            if (parent == grandfather->_left)
            {
                Node* uncle = grandfather->_right;
                //uncle存在
                if (uncle&&uncle->_col == RED)
                {
                    parent->_col = BLACK;
                    uncle->_col = BLACK;
                    grandfather->_col = RED;
                    //继续往上调节
                    cur = grandfather;
                    parent = cur->_parent;
                }
                else  //uncle不存在或者uncle为黑色
                {
                    if (cur == parent->_right)
                    {
                        RotateL(parent);
                        swap(parent, cur);
                    }
                    RotateR(grandfather);
                    grandfather->_col = RED;
                    parent->_col = BLACK;

                }
            }
            else
            {
                Node* uncle = grandfather->_left;
                if (uncle&&uncle->_col == RED)
                {
                    parent->_col = BLACK;
                    uncle->_col = BLACK;
                    grandfather->_col = RED;
                    cur = grandfather;
                    parent = cur->_parent;
                }
                else//uncle不存在或者为黑
                {
                    if (cur == parent->_left)
                    {
                        RotateR(parent);
                        swap(parent, cur);
                    }

                    RotateL(grandfather);
                    grandfather->_col = RED;
                    parent->_col = BLACK;
                }
            }
        }
        _root->_col = BLACK;
        return true;
    }

    void RotateL(Node* parent)
    {
        assert(parent);

        Node* subR = parent->_right;
        Node* subRL = subR->_left;
        parent->_right = subRL;

        if (subRL)
            subRL->_parent = parent;
        Node* ppNode = parent->_parent;
        subR->_left = parent;
        parent->_parent = subR;
        if (ppNode == NULL)
        {
            _root = subR;
            printf("ppNode==NULL\n");
            return;
        }

        /*if (_root == parent)
        {

            subR->_parent = NULL;
        }*/
        else
        {
            if (ppNode->_left == parent)
            {
                ppNode->_left = subR;
                subR->_parent = ppNode;
            }
            else
            {
                ppNode->_right = subR;
                subR->_parent = ppNode;
            }
        }

        _root->_parent = NULL;
    }
    void RotateR(Node* parent)
    {
        assert(parent);

        Node* subL = parent->_left;
        Node* subLR = subL->_right;

        parent->_left = subLR;
        if (subLR)
            subLR->_parent = parent;
        Node* ppNode = parent->_parent;
        subL->_right = parent;
        parent->_parent = subL;
        if (ppNode == NULL)
        {
            _root= subL;
            //subL->_parent = NULL;
        }
        else
        {
            if (ppNode->_left == parent)
            {
                ppNode->_left = subL;
                subL->_parent = ppNode;
            }
            else 
            {
                ppNode->_right = subL;
                subL->_parent = ppNode;
            }
        }

        _root->_parent = NULL;


    }
    bool IsBalance()
    {
        if (_root && _root->_col == RED)
            return false;
        size_t count = 0;
        Node* cur = _root;
        while (cur)
        {
            if (cur->_col == BLACK)
            {
                count++;
            }
            cur = cur->_left;
        }
        size_t k = 0;
        return _IsBalance(_root,count,k);
    }

    bool _IsBalance(Node* root,const size_t count,size_t k)
    {
        if (root == NULL)
        {
            if (count != k)
            {
                cout << "黑节点数量不相等" << endl;
                return false;
            }
            return true;
        }
        if (root->_col == RED && root->_parent->_col == RED)
        {
            return false;
        }
        if (root->_col == BLACK)
            k++;
        return _IsBalance(root->_left,count,k)&&
        _IsBalance(root->_right,count,k);
    }
    void Inorder()
    {
        _Inorder(_root);
        cout << endl;
    }
    void _Inorder(Node* root)
    {
        if (root == NULL)
        {
            return;
        }

        _Inorder(root->_left);
        cout << root->_key << " ";
        _Inorder(root->_right);
    }
private:
    Node* _root;
};
void TestRBTree()
{
    RBTree<int, int> rb;
    int a1[] = { 5, 3, 4, 1, 7, 8, 2, 6, 0, 9 };

    for (size_t i = 0; i < sizeof(a1) / sizeof(a1[0]); ++i)
    {
        rb.Insert(a1[i], i);
        std::cout << a1[i] <<" "<< rb.IsBalance()<< std::endl;
    }
    rb.Inorder();
}

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转载自blog.csdn.net/liuxiaokai_liu/article/details/80223565