C语言之树

本文主要探讨如何使用C语言来实现数据结构中的树。通过详细的代码展示,阐述了在Linux环境下进行C语言基础编程和算法编程时,构建和操作树结构的关键步骤和技巧。

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//头函数
#ifndef __1TREE_H__
#define __1TREE_H__

#define FLASE 0
#define TRUE  1

struct _treenode;

typedef struct _childnode
{
	struct _treenode  *parentnode;
	struct _childnode *childnext;
}ChildNode;


typedef struct _treenode
{
	char data;
	struct _treenode  *parent;
	struct _childnode *childnode;
	struct _treenode  *treenext;
	int degree;
}TreeNode;



typedef struct _tree
{
	struct _treenode *head;
	int len;
}Tree;
//创建树
Tree *creat_tree();
//插入结点
int Insert_tree(Tree *tree, char data, int pos);
//打印数据
void Display(Tree *tree);
//获取树中指定的数据
int Tree_Get(Tree* tree, int pos, char *x);
//清空树
int Tree_Clear(Tree* tree);
//销毁树
void Tree_Destroy(Tree* tree);
//判断树是否为空
TreeNode* Tree_Root(Tree* tree);
//树的结点个数
int Tree_Count(Tree* tree);
//树的高度
int Tree_Height(Tree* tree);
//树的度
int Tree_Degree(Tree* tree);


#endif //__1TREE_H__


//主要代码

#include "1tree.h"
#include <stdlib.h>
#include <stdio.h>

Tree *creat_tree()
{
	Tree *tree = (Tree *)malloc(sizeof(Tree)/sizeof(char));
	if(tree == NULL)
	{
		return NULL;
	}
	tree->len = 0;
	
	tree->head = (TreeNode *)malloc(sizeof(TreeNode)/sizeof(char));
	if(tree->head == NULL)
	{
		free(tree);
		return NULL;
	}
	
	tree->head->parent     = NULL;
	tree->head->childnode  = NULL;
	tree->head->treenext   = NULL;
	tree->len              = 0;
	
	return tree;
}

int Insert_tree(Tree *tree, char data, int pos)
{
	if(tree == NULL || pos < 0 || pos > tree->len)
	{
		return FALSE;
	}
	if(pos != 0 && tree->len == pos)
	{
		return FALSE;
	}
	
	TreeNode *node = (TreeNode *)malloc(sizeof(TreeNode)/sizeof(char));
	if(node == NULL)
	{
		return FALSE;
	}
	node->data     = data;
	node->treenext = NULL;
	//建结点的孩子头结点
	node->childnode = (ChildNode *)malloc(sizeof(ChildNode)/sizeof(char));
	if(node->childnode == NULL)
	{
		free(node);
		return FALSE;
	}
	
	node->childnode->parentnode = NULL;
	node->childnode->childnext  = NULL;
	node->degree = 0;
	
	//找父结点
	int i;
	TreeNode *parent = tree->head->treenext;
	for(i = 0; i < pos; i++)
	{
		parent = parent->treenext;
	}
	node->parent = parent;
	
	if(parent != NULL)
	{
		ChildNode *childnode = (ChildNode *)malloc(sizeof(ChildNode)/sizeof(char));
		if(childnode == NULL)
		{
			free(node->childnode);
			free(node);
			return FALSE;
		}
		childnode->childnext  = NULL;
		childnode->parentnode = node;
		
		ChildNode *tmp = parent->childnode;
		while(tmp->childnext)
		{
			tmp = tmp->childnext;
		}
		tmp->childnext = childnode;
		parent->degree ++;
	}
	
	TreeNode *tmp = tree->head;
	while(tmp->treenext)
	{
		tmp = tmp->treenext;
	}
	tmp->treenext = node;
	tree->len ++;
	
	return TRUE;
}

void r_display(TreeNode *node, int gap)
{
	if(node == NULL)
	{
		return;
	}
	int i;
	for(i = 0;i < gap;i++)
	{
		printf("-");
	}
	printf("%c\n",node->data);
	
	ChildNode *child = node->childnode->childnext;
	
	while(child)
	{
		r_display(child->parentnode, gap + 4);
		child = child->childnext;
	}
	
}

void Display(Tree *tree)
{
	if(tree == NULL)
	{
		return;
	}
	r_display(tree->head->treenext, 0);
}

void r_delete(Tree *tree, TreeNode *node)
{
	if(tree == NULL || node == NULL)
	{
		return;
	}
	TreeNode *tmp = tree->head;
	while(tmp->treenext)
	{
		if(tmp->treenext == node)
		{
			tmp->treenext = node->treenext;
			tree->len --;
			break;
		}
		
		tmp = tmp->treenext;
	}
	
	TreeNode *parent = node->parent;
	if(parent != NULL)
	{
		ChildNode *tmp = parent->childnode;
		while(tmp->childnext)
		{
			if(tmp->childnext->parentnode == node)
			{
				ChildNode *p = tmp->childnext;
				tmp->childnext = p->childnext;
				free(p);
				parent->degree --;
				break;
			}
			
			tmp = tmp->childnext;
		}
	}
	
	ChildNode *child = node->childnode->childnext;
	while(child)
	{
		ChildNode *pchild = child->childnext;
		r_delete(tree,child->parentnode);
		child = pchild;
	}
	free(node->childnode);
	free(node);
}

int Delete(Tree *tree,int pos, char *x)
{
	if(tree == NULL || pos < 0 || pos > tree->len)
	{
		return FALSE;
	}
	if(pos != 0 && tree->len == pos)
	{
		return FALSE;
	}
	int i;
	TreeNode *current = tree->head->treenext;
	for(i = 0;i < pos; i++)
	{
		current = current->treenext;
	}
	*x = current->data;
	r_delete(tree,current);
	
	return TRUE;
}

int Tree_Get(Tree* tree, int pos, char *x)
{
	if(tree == NULL || pos < 0 || pos > tree->len)
	{
		return FALSE;
	}
	if(pos != 0 && pos == tree->len)
	{
		return FALSE;
	}
	TreeNode *node = tree->head->treenext;
	int i;
	for(i = 0; i < pos; i++)
	{
		node = node->treenext;
	}
	*x = node->data;
	
	return TRUE;
}

int Tree_Clear(Tree* tree)
{
	if(tree == NULL)
	{
		return FALSE;
	}
	
	char x;
	Delete(tree,0,&x);
	
	return TRUE;
}

void Tree_Destroy(Tree* tree)
{
	if(tree == NULL)
	{
		return;
	}
	Tree_Clear(tree);
	free(tree->head);
	free(tree);
}

TreeNode *Tree_Root(Tree *tree)
{
	if(tree == NULL)
	{
		return NULL;
	}
	
	return tree->head->treenext;
}

int Tree_Count(Tree* tree)
{
	if(tree == NULL)
	{
		return FALSE;
	}
	
	return tree->len;
}
int r_height(TreeNode *node)
{
	if(node == NULL)
	{
		return 0;
	}
	int subHeight = 0;
	int max = 0;
	ChildNode * child = node->childnode->childnext;
	while(child)
	{
		subHeight = r_height(child->parentnode);
		if(subHeight > max)
		{
			max = subHeight;
		}
		child = child->childnext;
	}
	
	return max + 1;
}

int Tree_Height(Tree* tree)
{
	if(tree == NULL)
	{
		return FALSE;
	}
	int height = r_height(tree->head->treenext);
	
	return height;
}
int r_degree(TreeNode *node)
{
	if(node == NULL)
	{
		return FALSE;
	}
	int max = node->degree;
	int subDegree = 0;
	ChildNode *tmp = node->childnode->childnext;
	while(tmp)
	{
		subDegree = r_degree(tmp->parentnode);
		if(subDegree > max)
		{
			max = subDegree;
		}
		tmp = tmp->childnext;
	}
	
	return max;
}

int Tree_Degree(Tree* tree)
{
	if(tree == NULL)
	{
		return FALSE;
	}
	TreeNode *node = tree->head->treenext;
	int degree = r_degree(node);
	return degree;
}



//主函数
#include "1tree.h"

int main()
{
	Tree *tree = creat_tree();
	
	Insert_tree(tree, 'A', 0);
	Insert_tree(tree, 'B', 0);
	Insert_tree(tree, 'C', 0);
	Insert_tree(tree, 'D', 0);
	Insert_tree(tree, 'E', 1);
	Insert_tree(tree, 'F', 1);
	
	Display(tree);	
	printf("树的高度:%d\n",Tree_Height(tree));
	printf("树的度:%d\n",  Tree_Degree(tree));
	printf("树的结点:%d\n",Tree_Count (tree));
	char x;
	Delete(tree,0,&x);
	printf("清除后:\n");
	Display(tree);
	
	return 0;
}



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