private void Insert(int data, NodeRB node, NodeRB parent)
{
if (node.Key == null)
{
node.Key = data;
node.Sum++;
node.Color = RBColor.Red;
node.Parent = parent;
InsertBalanser(node);
return;
}
if (node.Key == data)
{
node.Sum++;
return;
}
if (data < node.Key)
{
if (node.Left == null)
{
node.Left = new NodeRB();
}
Insert(data, node.Left, node);
//balanser
}
else
{
if (node.Right == null)
{
node.Right = new NodeRB();
}
Insert(data, node.Right, node);
//balanser
}
}
public void Insert(int data)
{
if (Tree == null)
{
Tree = new NodeRB();
Tree.Key = data;
Tree.Color = RBColor.Black;
Tree.Sum++;
return;
}
if (Tree.Key == data)
{
Tree.Sum++;
return;
}
if (data < Tree.Key)
{
if (Tree.Left == null)
{
Tree.Left = new NodeRB();
}
Insert(data, Tree.Left, Tree);
//rebalans
}
else
{
if (Tree.Right == null)
{
Tree.Right = new NodeRB();
}
Insert(data, Tree.Right, Tree);
//rebalans
}
}
private void InsertBalanser(NodeRB node)
{
while (node != Tree && node.Parent.Color == RBColor.Red)
{
if (node.Parent == node.Parent.Parent.Left)
{
NodeRB Right_Uncle = node.Parent.Parent.Right;
if (Right_Uncle != null && Right_Uncle.Color == RBColor.Red) //uncle - red
{
node.Parent.Color = RBColor.Black;
Right_Uncle.Color = RBColor.Black;
node.Parent.Parent.Color = RBColor.Red;
node = node.Parent.Parent;
}
else //uncle - black
{
if (node == node.Parent.Right)
{
node = node.Parent;
LeftRotate(node);
}
node.Parent.Color = RBColor.Black;
node.Parent.Parent.Color = RBColor.Red;
RightRotate(node.Parent.Parent);
}
}
else //mirorr
{
NodeRB Left_Uncle = node.Parent.Parent.Left;
if (Left_Uncle != null && Left_Uncle.Color == RBColor.Red) // uncle - red
{
node.Parent.Color = RBColor.Black;
Left_Uncle.Color = RBColor.Black;
node.Parent.Parent.Color = RBColor.Red;
node = node.Parent.Parent;
}
else
{
if (node == node.Parent.Left)
{
node = node.Parent;
RightRotate(node);
}
node.Parent.Color = RBColor.Black;
node.Parent.Parent.Color = RBColor.Red;
LeftRotate(node.Parent.Parent);
}
}
}
Tree.Color = RBColor.Black;
}
private NodeRB FindMax(NodeRB node)
{
if (node == null)
{
return(null);
}
if (node.Right != null)
{
return(FindMax(node.Right));
}
else
{
return(node);
}
}
private NodeRB FindMin(NodeRB node)
{
if (node == null)
{
return(null);
}
if (node.Left != null)
{
return(FindMin(node.Left));
}
else
{
return(node);
}
}
private NodeRB Find(int data, NodeRB node)
{
if (node == null)
{
return(null);
}
if (node.Key == data)
{
return(node);
}
if (data < node.Key)
{
return(Find(data, node.Left));
}
return(Find(data, node.Right));
}
public void Delete(int data)
{
NodeRB DelItem = Find(data);
if (DelItem == null)
{
Console.WriteLine("ERROR - item not faund");
}
else
{
if (DelItem.Sum > 1)
{
DelItem.Sum--;
}
else
{
Delete(DelItem);
}
}
}
private void LeftRotate(NodeRB X)
{
NodeRB Y = X.Right;
X.Right = Y.Left;
if (Y.Left != null)
{
Y.Left.Parent = X;
}
if (Y != null)
{
Y.Parent = X.Parent;
}
if (X.Parent == null)
{
Tree = Y;
}
else
{
if (X.Parent.Left == X)
{
X.Parent.Left = Y;
}
if (X.Parent.Right == X)
{
X.Parent.Right = Y;
}
}
Y.Left = X;
if (X != null)
{
X.Parent = Y;
}
}
private void RightRotate(NodeRB Y)
{
NodeRB X = Y.Left;
Y.Left = X.Right;
if (X != null)
{
X.Parent = Y.Parent;
}
if (X.Right != null)
{
X.Right.Parent = Y;
}
if (Y.Parent == null)
{
Tree = X;
}
else
{
if (Y.Parent.Left == Y)
{
Y.Parent.Left = X;
}
if (Y.Parent.Right == Y)
{
Y.Parent.Right = X;
}
}
X.Right = Y;
if (Y != null)
{
Y.Parent = X;
}
}
private void Delete(NodeRB node)
{
NodeRB DeletingNode = node;
NodeRB ZamenaItem;
RBColor FirstColor = node.Color;
bool?myPosition;
if (node.Parent == null)
{
myPosition = null;
}
else if (node.Parent.Left == node)
{
myPosition = false;
}
else
{
myPosition = true;
}
//1
if (node.Left == null && node.Right == null)
{
if (myPosition == null)
{
node.Key = null;
node.Sum = 0;
}
if (myPosition == false)
{
node.Parent.Left = null;
}
if (myPosition == true)
{
node.Parent.Right = null;
}
node.Parent = null;
}
//2
if (node.Left != null && node.Right == null)
{
if (myPosition == null)
{
Tree = node.Left;
node.Left.Parent = null;
//node.Left = null;
}
if (myPosition == false)
{
node.Parent.Left = node.Left;
node.Left.Parent = node.Parent;
//node.Parent = null;
//node.Left = null;
}
if (myPosition == true)
{
node.Parent.Right = node.Left;
node.Left.Parent = node.Parent;
//node.Parent = null;
//node.Left = null;
}
}
if (node.Left == null && node.Right != null)
{
if (myPosition == null)
{
Tree = node.Right;
node.Right.Parent = null;
//node.Right = null;
}
if (myPosition == false)
{
node.Parent.Left = node.Right;
node.Right.Parent = node.Parent;
//node.Parent = null;
//node.Right = null;
}
if (myPosition == true)
{
node.Parent.Right = node.Right;
node.Right.Parent = node.Parent;
node.Parent = null;
node.Right = null;
}
}
//3
if (node.Left != null && node.Right != null)
{
ZamenaItem = FindMin(node.Right);
node.Key = ZamenaItem.Key;
node.Sum = ZamenaItem.Sum;
if (node.Color == RBColor.Red)
{
node.Color = ZamenaItem.Color;
Delete(ZamenaItem);
return;
}
if (node.Color == RBColor.Black && ZamenaItem.Color == RBColor.Red)
{
node.Color = RBColor.Black;
Delete(ZamenaItem);
return;
}
if (node.Color == RBColor.Black && ZamenaItem.Color == RBColor.Black)
{
DeleteBalanser(node);
}
}
}
private void DeleteBalanser(NodeRB node)
{
while (node != null && node != Tree && node.Color == RBColor.Black)
{
if (node.Parent.Left == node)
{
NodeRB RightBraser = node.Parent.Right;
//1
if (node.Parent.Right.Color == RBColor.Red)
{
node.Parent.Color = RBColor.Red;
node.Parent.Right.Color = RBColor.Black;
LeftRotate(node.Parent);
RightBraser = node.Parent.Right;
}
//2
if (RightBraser.Color == RBColor.Black)
{
if (RightBraser.Left.Color == RBColor.Black && RightBraser.Right.Color == RBColor.Black)
{
RightBraser.Color = RBColor.Red;
node = node.Parent;
}
if (RightBraser.Left.Color == RBColor.Red && RightBraser.Right.Color == RBColor.Black)
{
RightBraser.Color = RBColor.Red;
RightBraser.Left.Color = RBColor.Black;
RightRotate(RightBraser.Left);
RightBraser = node.Parent.Right;
}
if (RightBraser.Right.Color == RBColor.Red)
{
RightBraser.Color = node.Parent.Color;
node.Parent.Color = RBColor.Black;
RightBraser.Right.Color = RBColor.Black;
LeftRotate(node.Parent);
break;
}
}
}
else //mirror
{
NodeRB LeftBraser = node.Parent.Left;
//1
if (node.Parent.Left.Color == RBColor.Red)
{
node.Parent.Color = RBColor.Red;
node.Parent.Right.Color = RBColor.Black;
RightRotate(node.Parent);
LeftBraser = node.Parent.Left;
}
//2
if (LeftBraser.Color == RBColor.Black)
{
if (LeftBraser.Left.Color == RBColor.Black && LeftBraser.Right.Color == RBColor.Black)
{
LeftBraser.Color = RBColor.Red;
node = node.Parent;
}
if (LeftBraser.Right.Color == RBColor.Red && LeftBraser.Left.Color == RBColor.Black)
{
LeftBraser.Color = RBColor.Red;
LeftBraser.Right.Color = RBColor.Black;
LeftRotate(LeftBraser.Right);
LeftBraser = node.Parent.Left;
}
if (LeftBraser.Left.Color == RBColor.Red)
{
LeftBraser.Color = node.Parent.Color;
node.Parent.Color = RBColor.Black;
LeftBraser.Left.Color = RBColor.Black;
RightRotate(node.Parent);
break;
}
}
}
}
if (Tree != null)
{
Tree.Color = RBColor.Black;
}
}
