public void TravIn_I2(BinNode <T> x, Action <BinNode <T> > action)
{
Stack <BinNode <T> > s = StackVectorImpl <BinNode <T> > .StackFactory();
while (true)
{
if (x != null)
{
s.Push(x);
x = x.LChild;
}
else
{
if (s.Size != 0)
{
x = s.Pop();
action(x);
x = x.RChild;
}
else
{
break;
}
}
}
}
protected BinNode <T> Connect34(BinNode <T> a, BinNode <T> b, BinNode <T> c,
BinNode <T> t0, BinNode <T> t1, BinNode <T> t2, BinNode <T> t3)
{
a.LChild = t0;
if (t0 != null)
{
t0.Parent = a;
}
a.RChild = t1;
if (t1 != null)
{
t1.Parent = a;
}
UpdateHeight(a);
c.LChild = t2;
if (t2 != null)
{
t2.Parent = c;
}
c.RChild = t3;
if (t3 != null)
{
t3.Parent = c;
}
UpdateHeight(c);
b.LChild = a;
a.Parent = b;
b.RChild = c;
c.Parent = b;
UpdateHeight(b);
return(b);
}
/// <summary>
/// 交换数据，用在删除操作
/// </summary>
/// <param name="a"></param>
/// <param name="b"></param>
protected void Swap(BinNode <T> a, BinNode <T> b)
{
T temp = a.Data;
a.Data = b.Data;
b.Data = temp;
}
public void TravIn_I3(BinNode <T> x, Action <BinNode <T> > aciton)
{
bool backTrack = false;
while (true)
{
if (!backTrack && x.HasRChild)
{
x = x.LChild;
}
else
{
if (x != null)
{
aciton(x);
if (x.HasRChild)
{
x = x.RChild;
}
else
{
if ((x = x.Succ()) != null)
{
break;
}
backTrack = true;
}
}
}
}
}
private static void GoAlongLeftBranch(BinNode <T> x, Stack <BinNode <T> > s)
{
while (x != null)
{
s.Push(x);
x = x.LChild;
}
}
/// <summary>
/// 更新当前节点和上面给结点所有的高度
/// </summary>
/// <param name="x"></param>
protected void UpdateHeightAbove(BinNode <T> x)
{
while (x != null)
{
UpdateHeight(x);
x = x.Parent;
}
}
/// <summary>
/// 作为某个结点的左孩子结点插入
/// </summary>
/// <param name="x">要插入的父节点</param>
/// <param name="e">结点的值</param>
/// <returns>插入的结点的值</returns>
public BinNode <T> InsertAsLc(BinNode <T> x, T e)
{
Size++;
var leftChild = x.InsertAsLc(e);
UpdateHeightAbove(x);
return(leftChild);
}
/// <summary>
/// 递归调用求取Size
/// </summary>
/// <param name="x"></param>
/// <returns></returns>
private static int Size(BinNode <T> x)
{
if (x == null)
{
return(0);
}
return(1 + Size(x.LChild) + Size(x.RChild));
}
/// <summary>
/// 将结点X从树中摘除
/// </summary>
/// <param name="x">结点X</param>
/// <returns>摘除结点为根节点的子树的结点数目</returns>
public int Remove(BinNode <T> x)
{
ClearFromParent(x);
UpdateHeight(x.Parent);
int n = RemoveAt(x);
Size -= n;
return(n);
}
/// <summary>
/// 查找
/// <remarks>
/// 更新Hot结点
/// </remarks>
/// </summary>
/// <param name="v"></param>
/// <param name="e"></param>
/// <returns></returns>
protected BinNode <T> SearchIn(BinNode <T> v, T e)
{
if (v == null || Eq(v.Data, e))
{
return(v);
}
//更新Hot结点
Hot = v;
return(SearchIn((Lt(e, v.Data)) ? v.LChild : v.RChild, e));
}
/// <summary>
/// 从结点X为子树的所有结点的数目
/// </summary>
/// <param name="x">作为根节点的子树</param>
/// <returns>结点的数目</returns>
private int RemoveAt(BinNode <T> x)
{
if (x == null)
{
return(0);
}
int n = 1 + RemoveAt(x.LChild) + RemoveAt(x.RChild);
return(n);
}
/// <summary>
/// 先遍历所有左子树
/// </summary>
/// <param name="x">当前子树的根节点</param>
/// <param name="action">操作</param>
/// <param name="s">栈</param>
private static void VisitAlongLeftBranch(BinNode <T> x,
Action <BinNode <T> > action, Stack <BinNode <T> > s)
{
while (x != null)
{
action(x);
s.Push(x.RChild);
x = x.LChild;
}
}
/// <summary>
/// the constructor
/// </summary>
/// <param name="e">data</param>
/// <param name="parent">parent</param>
/// <param name="lChild">left child</param>
/// <param name="rChild">right child</param>
/// <param name="height">height</param>
/// <param name="npl">null path length</param>
/// <param name="color">the color</param>
public BinNode(T e, BinNode <T> parent = null, BinNode <T> lChild = null,
BinNode <T> rChild = null, int height = 0, int npl = 1, RbColor color = RbColor.RbRed)
{
Data = e;
Parent = parent;
LChild = lChild;
RChild = rChild;
Height = height;
Npl = npl;
Color = color;
}
/// <summary>
/// 从父节点的关系链中摘除
/// </summary>
/// <param name="x"></param>
private void ClearFromParent(BinNode <T> x)
{
if (x.IsRChild)
{
x.Parent.RChild = null;
}
else
{
x.Parent.LChild = null;
}
}
private static void TravPost(BinNode <T> x, Action <BinNode <T> > trave)
{
if (x.LChild != null)
{
TravPost(x.LChild, trave);
}
if (x.RChild != null)
{
TravPost(x.RChild, trave);
}
trave(x);
}
/// <summary>
/// 将一棵树作为结点x的Right Child插入
/// </summary>
/// <param name="x">要插入的结点</param>
/// <param name="tr">要插入的树</param>
/// <returns>返回结点</returns>
public BinNode <T> AttachAsRc(BinNode <T> x, BinTree <T> tr)
{
int xSize = RemoveAt(x.RChild);
x.RChild = tr.Root;
x.RChild.Parent = x;
Size = Size - xSize + tr.Size;
var backup = x;
UpdateHeightAbove(x);
return(backup);
}
/// <summary>
/// 从某个结点摘除出，并且以此为根节点创建一个树
/// </summary>
/// <param name="x">摘除的结点</param>
/// <returns>摘除出来的树</returns>
public BinTree <T> Secede(BinNode <T> x)
{
ClearFromParent(x);
UpdateHeightAbove(x.Parent);
var s = new BinTree <T> {
Root = x
};
x.Parent = null;
s.Size = x.Size();
Size -= s.Size;
return(s);
}
protected BinNode <T> RemoveAt(BinNode <T> x)
{
BinNode <T> w = x;
BinNode <T> succ;
//如果没有左孩子
if (!x.HasLChild)
{
if (x.IsLChild)
{
Hot.LChild = x.RChild;
}
else
{
Hot.RChild = x.RChild;
}
succ = x.RChild;
}
else if (!x.HasRChild)
{
if (x.IsLChild)
{
Hot.LChild = x.LChild;
}
else
{
Hot.RChild = x.LChild;
}
succ = x.LChild;
}
else
{
w = w.Succ();
Swap(w, x);
BinNode <T> u = w.Parent;
if (u == x)
{
u.RChild = succ = w.RChild;
}
else
{
u.LChild = succ = w.RChild;
}
}
Hot = w.Parent;
if (succ != null)
{
succ.Parent = Hot;
}
return(succ);
}
/// <summary>
/// 迭代先序遍历
/// </summary>
/// <param name="x">开始根节点</param>
/// <param name="action">操作</param>
public void TravPre_I2(BinNode <T> x, Action <BinNode <T> > action)
{
Stack <BinNode <T> > s = StackVectorImpl <BinNode <T> > .StackFactory();
while (true)
{
VisitAlongLeftBranch(x, action, s);
if (s.Size == 0)
{
break;
}
x = s.Pop();
}
}
/// <summary>
/// 中序遍历的迭代算法
/// </summary>
/// <param name="x"></param>
/// <param name="action"></param>
public void TravIn_I1(BinNode <T> x, Action <BinNode <T> > action)
{
var s = StackVectorImpl <BinNode <T> > .StackFactory();
while (true)
{
GoAlongLeftBranch(x, s);
if (s.Size == 0)
{
break;
}
x = s.Pop();
action(x);
x = x.RChild;
}
}
/// <summary>
/// 将某个密文解码
/// </summary>
/// <param name="code"></param>
/// <returns></returns>
public string Decode(string code)
{
StringBuilder sb = new StringBuilder();
BinNode <HuffChar> hot = _huffmanRoot;
bool backToRoot = true;
foreach (char t in code)
{
if (backToRoot)
{
hot = _huffmanRoot;
}
if (hot == null)
{
throw new ArgumentException("the code is not illeagl");
}
if (t == '0')
{
hot = hot.LChild;
if (!hot.HasBothChild)
{
sb.Append(hot.Data.Ch);
backToRoot = true;
}
else
{
backToRoot = false;
}
}
else
{
hot = hot.RChild;
if (!hot.HasBothChild)
{
sb.Append(hot.Data.Ch);
backToRoot = true;
}
else
{
backToRoot = false;
}
}
}
return(sb.ToString());
}
public void TravPost_I(BinNode <T> x, Action <BinNode <T> > action)
{
Stack <BinNode <T> > s = StackVectorImpl <BinNode <T> > .StackFactory();
if (x != null)
{
s.Push(x);
}
while (s.Size != 0)
{
if (s.Top == x.Parent)
{
GotoHlvfl(s);
}
x = s.Pop();
action(x);
}
}
private void BuildTree()
{
IVector <BinNode <HuffChar> > huffchars = InitHuffChars();
while (huffchars.Size > 1)
{
Tuple <Int32, Int32> twoMin = FindTwoMin(huffchars, 0, huffchars.Size);
int first = Math.Min(twoMin.Item1, twoMin.Item2);
int second = Math.Max(twoMin.Item1, twoMin.Item2);
var node1 = huffchars.Remove(second);
var node2 = huffchars.Remove(first);
BinNode <HuffChar> newNode = new BinNode <HuffChar>(
new HuffChar('^', node1.Data.Weight + node2.Data.Weight), null, node1, node2);
node1.Parent = newNode;
node2.Parent = newNode;
huffchars.Insert(newNode);
}
_huffmanRoot = huffchars[0];
}
/// <summary>
/// 如果是叶节点
/// </summary>
/// <param name="node"></param>
private void BuildCodeMap(BinNode <HuffChar> node)
{
if (!node.HasBothChild)
{
char code = node.Data.Ch;
string s = string.Empty;
while (node != _huffmanRoot)
{
if (node.IsLChild)
{
s += "0";
}
else
{
s += "1";
}
node = node.Parent;
}
_charCodeMap.Add(code, new string(s.Reverse().ToArray()));
}
}
/// <summary>
/// 迭代版先序遍历
/// </summary>
/// <param name="x">开始节点</param>
/// <param name="action">遍历操作，委托</param>
public void TravePre_I1(BinNode <T> x, Action <BinNode <T> > action)
{
var s = StackVectorImpl <BinNode <T> > .StackFactory();
if (x != null)
{
s.Push(x);
}
while (s.Size != 0)
{
x = s.Pop();
action(x);
if (x.HasRChild)
{
s.Push(x.RChild);
}
if (x.HasLChild)
{
s.Push(x.LChild);
}
}
}
/// <summary>
/// 获取中序遍历中的下一个节点
/// </summary>
/// <returns>the successor node </returns>
public BinNode <T> Succ()
{
BinNode <T> s = this;
if (HasRChild)
{
s = RChild;
while (s.HasLChild)
{
s = s.LChild;
}
}
else
{
while (s.IsRChild)
{
s = s.Parent;
}
s = s.Parent;
}
return(s);
}
/// <summary>
/// 插入结点，不考虑重复key
/// <remarks>
/// 使用Virtual修饰函数修饰，使之能够AVL 和Splay树等能够重载
/// </remarks>
/// </summary>
/// <param name="e"></param>
/// <returns>
/// 返回插入的结点的位置（）
/// </returns>
public virtual BinNode <T> Insert(T e)
{
var x = Search(e);
//如果查找到某一个已经存在的
if (x != null)
{
return(x);
}
//如果插入的是根节点
if (Hot == null)
{
Root = new BinNode <T>(e);
Size++;
UpdateHeightAbove(Root);
return(Root);
}
//如果不是跟结点
x = Lt(e, Hot.Data) ? Hot.InsertAsLc(e) : Hot.InsertAsRc(e);
Size++;
UpdateHeightAbove(x);
return(x);
}
public int CompareTo(BinNode <T> other)
{
return(Data.CompareTo(other.Data));
}
/// <summary>
/// 插入右孩子
/// </summary>
/// <param name="e">节点的值</param>
/// <returns>返回插入的节点</returns>
public BinNode <T> InsertAsRc(T e)
{
return(RChild = new BinNode <T>(e, this));
}
/// <summary>
/// 新的结点作为根节点插入
/// </summary>
/// <param name="e">结点的值</param>
/// <returns>新的根节点</returns>
public BinNode <T> InsertAsRoot(T e)
{
Size = 1;
return(Root = new BinNode <T>(e));
}
