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代码语言:javascript复制 /// <summary>
/// 遍历,线索化等操作的接口
/// </summary>
interface ITravelBinTree
{
void PreOrderTravel();
void InOrderTravel();
void RevOrderTravel();
void Print(IBinNode t);
}
interface IInsertBinTree
{
void Insert(IBinNode node, Position pos);
}
代码语言:javascript复制 /// <summary>
/// 二叉树节点的抽象定义
/// </summary>
interface IBinNode
{
bool isLeaf();
object Element { get; set; }
IBinNode Left { get; set; }
IBinNode Right { get; set; }
}
/// <summary>
/// Normal actualize of bintree
/// </summary>
class BinNodePtr : IBinNode
{
protected object element;
protected IBinNode lchild;
protected IBinNode rchild;
public BinNodePtr(object e, IBinNode left, IBinNode right)
{
element = e;
lchild = left;
rchild = right;
}
public BinNodePtr(object e)
{
element = e;
lchild = rchild = null;
}
public BinNodePtr()
{
element = null;
lchild = rchild = null;
}
public bool isLeaf()
{
if (lchild == null && rchild == null)
return true;
return false;
}
public object Element
{
get { return element; }
set { element = value; }
}
public IBinNode Left
{
get
{
return lchild;
}
set
{
lchild = value;
}
}
public IBinNode Right
{
get
{
return rchild;
}
set
{
rchild = value;
}
}
}
代码语言:javascript复制 class BinNodeLine : BinNodePtr, IBinNode
{
private Tag ltag, rtag;
public BinNodeLine(object e, IBinNode left, IBinNode right)
: base(e, left, right)
{ ltag = rtag = Tag.LINK; }
public BinNodeLine(object e)
: base(e)
{ ltag = rtag = Tag.LINK; }
public Tag LTag
{
get { return ltag; }
set { ltag = value; }
}
public Tag RTag
{
get { return rtag; }
set { rtag = value; }
}
}
代码语言:javascript复制 /// <summary>
/// LEFT左子树,RIGHT右子树
/// </summary>
enum Position { LEFT, RIGHT };
/// <summary>
/// LINK指向孩子,THREAD指向后继
/// </summary>
enum Tag { LINK, THREAD };
程序的主要代码
代码语言:javascript复制 class TravelBinTree : ITravelBinTree, IInsertBinTree
{
const int INIT_TREE_SIZE = 20;
private IBinNode tree;
private BinNodeLine head; //线索化后的头指针
private IBinNode prenode; //指向最近访问过的前驱节点
public TravelBinTree()
{
tree = new BinNodePtr();
}
public TravelBinTree(IBinNode INode)
{
tree = INode;
}
/// <summary>
/// 先序遍历树,用非递归算法实现
/// </summary>
/// <remarks>非递归实现</remarks>
public void PreOrderTravel()
{
IBinNode temptree;
Stack stk = new Stack(INIT_TREE_SIZE);
if (tree == null)
throw (new InvalidOperationException("访问的树为空"));
temptree = tree;
stk.Push(tree);
while (stk.Count != 0)
{
while (temptree != null)
{
Print(temptree);
stk.Push(temptree.Left);
temptree = temptree.Left;
}
stk.Pop(); // 空指针退栈
if (stk.Count != 0)
{
temptree = (IBinNode)stk.Pop();
stk.Push(temptree.Right);
temptree = temptree.Right;
}
}
}
public void InOrderTravel()
{
InOrderTravel(tree);
}
private void InOrderTravel(IBinNode t)
{
if (t == null) return;
InOrderTravel(t.Left);
Print(t);
InOrderTravel(t.Right);
}
public void RevOrderTravel()
{
RevOrderTravel(tree);
}
private void RevOrderTravel(IBinNode t)
{
if (t == null) return;
RevOrderTravel(t.Left);
RevOrderTravel(t.Right);
Print(t);
}
public void Print(IBinNode t)
{
Console.Write(t.Element ",");
}
public void Insert(IBinNode node, Position pos)
{
if (node == null)
throw (new InvalidOperationException("不能将空节点插入树"));
switch (pos)
{
case Position.LEFT: tree.Left = node; break;
case Position.RIGHT: tree.Right = node; break;
}
}
/// <summary>
/// 按照先序遍历顺序遍历树
/// </summary>
public void TreeBuilder()
{
Stack stk = new Stack(INIT_TREE_SIZE);
stk.Push(tree);
Position pos;
string para;
pos = Position.LEFT;
IBinNode baby, temp;
while (true)
{
para = Console.ReadLine();
if (para == "")
{
if (pos == Position.RIGHT)
{
stk.Pop();
while (stk.Count != 0 && ((IBinNode)stk.Peek()).Right != null)
stk.Pop();
if (stk.Count == 0) break;
}
else
pos = Position.RIGHT;
}
else
{
// if (tree.GetType().Equals(baby) == true)
baby = new BinNodePtr(para);
temp = (IBinNode)stk.Peek();
if (pos == Position.LEFT)
temp.Left = baby;
else
temp.Right = baby;
pos = Position.LEFT;
stk.Push(baby);
}
}
}
/// <summary>
/// 中序线索化
/// </summary>
public void InOrderThreading()
{
head = new BinNodeLine("");
head.RTag = Tag.THREAD;
head.Right = head;
if (tree == null) head.Left = head;
else
{
head.Left = tree; prenode = head;
}
}
/// <summary>
/// 中序线索化的递归实现
/// </summary>
/// <param name="t"></param>
private void InThreading(IBinNode t)
{
if (t == null)
return;
else
{
InThreading(t.Left);
}
}
}