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Ternary Search Tree C++实现

2024-07-02 08:56:55   226人阅读

问题描述：

1.Ternary Search Tree较之于Trie Tree也是一种前缀树（prefix tree)，主要用于存储字符串，再对大量字符串进行查询和存储（insert)操作时有非常好的性能；

2.Ternary Search Tree vs Trie Tree有更好的空间效率：所占内存更少，对于存储相同的字符串集；

3.Ternary Search Tree每个节点有三个指针，分别指向小于，等于，大于此节点值（字符串中的一个字符）的各个孩子节点；

4.Ternary Search Tree的查询和插入的时间复杂度是lg(N)，N是树中的节点树。因此，它的操作性能不如Trie Tree;

5.使用场景，拼写正确性检查；给定字符串字典和当前词，寻找下一个最邻近的词（尽量相同的前缀，不同的字符有不等关系）；


程序代码：

#ifndef _TERNARY_SEARCH_TREE_H_
#define _TERNARY_SEARCH_TREE_H_

/*
* ternary search tree 
*
*/
class TernarySearchTree
{
public:
	// tree Node
	typedef struct tagTernaryNode
	{
		char data;
		char isLeaf;
		tagTernaryNode* leftChild;
		tagTernaryNode* midChild;
		tagTernaryNode* rightChild;

		tagTernaryNode():data(), isLeaf(), leftChild(0),
			             midChild(0),rightChild(0)
		{
		}

		tagTernaryNode( char c ):data(c),isLeaf(),
			           leftChild(0), midChild(0),
					   rightChild(0)
		{
		}
	}TernaryNode, *pTernaryNode;


	/*
	*
	*
	*/
	TernarySearchTree():m_root(0),m_size(0)
	{

	}

	/*
	*
	*
	*/
	~TernarySearchTree()
	{
		Clear();
	}

	/*
	*Check empty 
	*
	*/
	bool IsEmpty() const 
	{
		return m_size == 0;
	}

	/*
	* Retrieve the number of node of tree
	*
	*/
	size_t Size() const 
	{
		return m_size;
	}


	/*
	*Insert string to tree
	*
	*/
	void Insert( const char* word )
	{
		Insert( m_root, word );
	}

	/*
	*Search in term of given string
	*
	*/
	bool Search( const char* word )
	{
		return Search( m_root, word );
	}

	/*
	*Clear all node
	*
	*/
	void Clear()
	{
		Clear( m_root );
		m_size = 0;
	}
private:
	/*
	* Implement search operation
	*
	*/
	bool Search( pTernaryNode root, const char* word )
	{
		if( 0 == root )
			return false;

		if( root->data > *word )
		{
			return Search( root->leftChild, word );
		}
		else if( root->data < *word )
		{
			return Search( root->rightChild, word );
		}
		else
		{
			if( *(word + 1) == ‘\0‘ )
			{
				return true;
			}
			else
			{
				return Search( root->midChild, word + 1 );
			}
		}
	}


	/*
	* Implement insert operation
	*
	*/
	void Insert( pTernaryNode& root, const char* word )
	{
		if( 0 == root )
		{
			root = new TernaryNode( *word );
			if(  *(word + 1) == ‘\0‘ )
			{
				m_size++;
				root->isLeaf = 1;
				return;
			}
			else if( root->data < *(word + 1) )
			{
				Insert( root->rightChild, word + 1 );
			}
			else if( root->data > *( word + 1) )
			{
				Insert( root->leftChild, word + 1 );
			}
			else
			{
				Insert( root->midChild, word + 1 );
			}
		}
		
		if( root->data > *word )
		{
			Insert( root->leftChild, word );
		}
		else if( root->data < *word )
		{
			Insert( root->rightChild, word );
		}
		else 
		{
			if( *(word + 1) == ‘\0‘ )
			{
				root->isLeaf = 1;	
			}
			else
			{
				Insert( root->midChild, word + 1 );
			}		
		}
	}


	/*
	*
	*
	*/
	void Clear( pTernaryNode& root )
	{
		if( 0 == root )
		{
			return;
		}

		Clear( root->leftChild );
		Clear( root->midChild );
		Clear( root->rightChild );

		delete root;
		root = 0;
	}

private:
	pTernaryNode m_root;
	size_t       m_size;

};

void TestTernarySearchTree()
{
	char* words[] = {"the", "a", "there", "answer", "any", "by", "bye", "their", "ant", "these", "heap",
					  "dynamic", "day", "micro", "meter", "mimic", "soul","such", "many", "metal",
		              "year", "deed", "minifest", "theather", "mart", "meet", "mit", "polygon", "pool" };

	size_t size = sizeof(words)/sizeof(words[0]);


	TernarySearchTree tree;
	for( int i = 0; i < size; i++ )
	{
		tree.Insert( words[i] );
	}

	for( int i = 0; i < size; i++ )
	{
		assert( tree.Search( words[i] ) );
	}


	assert( tree.Search("man") );
	assert( tree.Search("mini") );
	assert( tree.Search("met") );
	assert( tree.Search("so" ) );
	assert( !tree.Search("bee"));
	assert( !tree.Search("at") );

}



#endif

compile and run in visual studio 2005


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