public void delete(ref NodeAVL root, int value)
{
NodeAVL current = find(root, value);
if (current != null)
{
if (current.left == null || current.right == null)
{
replaceNodeInParentAndBalancing(ref root, current, current.left == null ? current.right : current.left);
}
else
{
NodeAVL predecessor = current.left;
while (predecessor.right != null)
{
predecessor = predecessor.right;
}
current.value = predecessor.value;
replaceNodeInParentAndBalancing(ref root, predecessor, predecessor.left);
}
garis.Clear();
addgaris(ref root);
lingkaran.Clear();
updatelingkaran(ref root);
parent.pictureBox1.Invalidate();
}
}
public void addlingkaran(ref NodeAVL root)
{
if (root.parent != null)
{
if (!root.isRight)
{
root.x = root.parent.x - 300 / root.height;
root.y = root.parent.y + 50;
}
else
{
root.x = root.parent.x + 300 / root.height;
root.y = root.parent.y + 50;
}
}
if (this.root == root)
{
this.root.x = root.x;
this.root.y = root.y;
}
if (root.passed)
{
lingkaran.Add(new Lingkaran(root.x, root.y, root.value.ToString(), Color.Yellow));
}
else
{
lingkaran.Add(new Lingkaran(root.x, root.y, root.value.ToString(), root.color));
}
}
public void replaceNodeInParentAndBalancing(ref NodeAVL root, NodeAVL node, NodeAVL child)
{
if (node.color == Color.Red || color(child) == Color.Red)
{
if (child != null)
{
child.color = Color.Black;
}
}
else if (node.color == Color.Black && color(child) == Color.Black)
{
if (child == null)
{
child = new NodeAVL();
}
else
{
child.color = Color.Gray;
}
}
replacenodeinparent(ref root, node, child);
if (child != null)
{
retraceafterdeletion(ref root, child);
}
}
public void decreaseColor(ref NodeAVL root, NodeAVL node)
{
if (node.color == Color.Gray)
{
if (node.sentinel)
{
if (node.parent == null)
{
root = null;
}
else if (node.parent.left == node)
{
node.parent.left = null;
}
else
{
node.parent.right = null;
}
}
else
{
node.color = Color.Black;
}
}
else if (node.color == Color.Black)
{
node.color = Color.Red;
}
}
public NodeAVL rotate(ref NodeAVL root, NodeAVL r, NodeAVL p, NodeAVL g)
{
if (p == g.left && (r == null || r == p.left))
{
singleRightRotate(ref root, g);
return(r);
}
else if (p == g.left && r == p.right)
{
singleLeftRotate(ref root, g.left);
singleRightRotate(ref root, g);
return(p);
}
else if (p == g.right && (r == p.right || r == null))
{
singleLeftRotate(ref root, g);
return(r);
}
else if (p == g.right && r == p.left)
{
singleRightRotate(ref root, g.right);
singleLeftRotate(ref root, g);
return(p);
}
return(null);
}
public void updatelingkaran(ref NodeAVL root)
{
if (root != null)
{
Console.WriteLine(root.value + "_" + root.height);
if (root.left != null)
{
root.left.parent = root;
root.left.isRight = false;
root.left.height = (root.height + 1);
}
updatelingkaran(ref root.left);
addlingkaran(ref root);
if (root.right != null)
{
root.right.parent = root;
root.right.isRight = true;
root.right.height = (root.height + 1);
}
updatelingkaran(ref root.right);
}
else
{
return;
}
}
public void addgaris(ref NodeAVL root)
{
if (root != null)
{
if (root.left != null)
{
if (root.left.passed && root.passed)
{
garis.Add(new line(root.x + 15, root.y + 15, root.left.x + 15, root.left.y + 15, Color.Yellow));
}
else
{
garis.Add(new line(root.x + 15, root.y + 15, root.left.x + 15, root.left.y + 15, Color.Black));
}
}
addgaris(ref root.left);
if (root.right != null)
{
if (root.right.passed && root.passed)
{
garis.Add(new line(root.x + 15, root.y + 15, root.right.x + 15, root.right.y + 15, Color.Yellow));
}
else
{
garis.Add(new line(root.x + 15, root.y + 15, root.right.x + 15, root.right.y + 15, Color.Black));
}
}
addgaris(ref root.right);
}
else
{
return;
}
}
public void swapcolor(NodeAVL p, NodeAVL q)
{
if (p.color != q.color)
{
Color temp = p.color;
p.color = q.color;
q.color = temp;
}
}
public NodeAVL()
{
this.left = null;
this.right = null;
this.parent = null;
color = Color.Red;
this.sentinel = true;
this.height = 1;
}
public NodeAVL(int value)
{
this.value = value;
this.left = null;
this.right = null;
this.parent = null;
color = Color.Red;
this.sentinel = false;
this.height = 1;
}
public void search(ref NodeAVL root, int value)
{
searching(ref root, value);
lingkaran.Clear();
updatelingkaran(ref root);
garis.Clear();
addgaris(ref root);
parent.pictureBox1.Invalidate();
resetsearch(ref root, value);
}
public Color color(NodeAVL n)
{
if (n == null)
{
return(Color.Black);
}
else
{
return(n.color);
}
}
public NodeAVL(int value, string idLingkaran)
{
this.value = value;
this.left = null;
this.right = null;
this.parent = null;
this.idLingkaran = idLingkaran;
color = Color.Red;
this.sentinel = false;
this.height = 1;
}
public void increaseColor(ref NodeAVL root, NodeAVL node)
{
if (node.color == Color.Red)
{
node.color = Color.Black;
}
else if (node.color == Color.Black)
{
node.color = Color.Gray;
}
}
public void resetheight(ref NodeAVL root)
{
if (root != null)
{
resetheight(ref root.left);
root.height = 1;
resetheight(ref root.right);
}
else
{
return;
}
}
public void insertion(ref NodeAVL root, int key, int x, int y)
{
NodeAVL newnode = new NodeAVL(key);
if (root == null)
{
root = newnode;
root.x = x;
root.y = y;
root.color = Color.Black;
parent.pictureBox1.Invalidate();
}
else
{
NodeAVL current = root;
while (true)
{
if (key < current.value)
{
if (current.left == null)
{
current.left = newnode;
newnode.parent = current;
retraceafterinsertion(ref root, newnode);
break;
}
current = current.left;
}
else
{
if (current.right == null)
{
current.right = newnode;
newnode.parent = current;
retraceafterinsertion(ref root, newnode);
break;
}
current = current.right;
}
}
}
resetheight(ref root);
lingkaran.Clear();
updatelingkaran(ref root);
garis.Clear();
addgaris(ref root);
parent.pictureBox1.Invalidate();
}
public NodeAVL find(NodeAVL root, int value)
{
NodeAVL current = root;
while (current != null && value != current.value)
{
if (value < current.value)
{
current = current.left;
}
else
{
current = current.right;
}
}
return(current);
}
public void resetsearch(ref NodeAVL root, int value)
{
NodeAVL current = root;
while (current != null && value != current.value)
{
if (value < current.value)
{
current.passed = false;
current = current.left;
}
else
{
current.passed = false;
current = current.right;
}
}
current.passed = false;
}
public void replacenodeinparent(ref NodeAVL root, NodeAVL node, NodeAVL child)
{
if (node.parent == null)
{
root = child;
}
else if (node.parent.left == node)
{
node.parent.left = child;
}
else
{
node.parent.right = child;
}
if (child != null)
{
child.parent = node.parent;
}
}
public NodeAVL searching(ref NodeAVL root, int value)
{
NodeAVL current = root;
while (current != null && value != current.value)
{
if (value < current.value)
{
current.passed = true;
current = current.left;
}
else
{
current.passed = true;
current = current.right;
}
}
current.passed = true;
return(current);
}
public NodeAVL singleLeftRotate(ref NodeAVL root, NodeAVL p)
{
if (p.right != null)
{
NodeAVL q = p.right;
p.right = q.left;
if (q.left != null)
{
q.left.parent = p;
}
q.left = p;
replacenodeinparent(ref root, p, q);
p.parent = q;
swapcolor(p, q);
return(q);
}
else
{
return(null);
}
}
public NodeAVL singleRightRotate(ref NodeAVL root, NodeAVL q)
{
if (q.left != null)
{
NodeAVL p = q.left;
q.left = p.right;
if (p.right != null)
{
p.right.parent = q;
}
p.right = q;
replacenodeinparent(ref root, q, p);
q.parent = p;
swapcolor(p, q);
return(q);
}
else
{
return(null);
}
}
public void retraceafterinsertion(ref NodeAVL root, NodeAVL current)
{
garis.Clear();
addgaris(ref root);
while (true)
{
if (current == root)
{
current.color = Color.Black;
break;
}
if (current.parent.color == Color.Red)
{
NodeAVL p = current.parent;
NodeAVL g = p.parent;
NodeAVL u = p == g.left ? g.right : g.left;
if (color(u) == Color.Red)
{
p.color = Color.Black;
u.color = Color.Black;
g.color = Color.Red;
current = g;
}
else
{
rotate(ref root, current, p, g);
break;
}
}
else
{
break;
}
}
lingkaran.Clear();
updatelingkaran(ref root);
parent.pictureBox1.Invalidate();
}
public void retraceafterdeletion(ref NodeAVL root, NodeAVL u)
{
while (u.color == Color.Gray)
{
if (u == root)
{
decreaseColor(ref root, u);
break;
}
NodeAVL p = u.parent;
NodeAVL s;
if (u == p.left)
{
s = p.right;
}
else
{
s = p.left;
}
if (color(s) == Color.Red)
{
rotate(ref root, null, s, p);
}
else
{
NodeAVL r = null;
if (s == p.left)
{
if (color(s.left) == Color.Red)
{
r = s.left;
}
else if (color(s.right) == Color.Red)
{
r = s.right;
}
}
else
{
if (color(s.right) == Color.Red)
{
r = s.right;
}
else if (color(s.left) == Color.Red)
{
r = s.left;
}
}
if (r != null)
{
r = rotate(ref root, r, s, p);
increaseColor(ref root, r);
decreaseColor(ref root, u);
break;
}
else
{
decreaseColor(ref root, u);
decreaseColor(ref root, s);
increaseColor(ref root, p);
u = p;
}
}
}
}
public AVLTree(Form1 parent)
{
root = null;
this.parent = parent;
}
public void doubleRightRotate(ref NodeAVL root, NodeAVL q)
{
singleLeftRotate(ref root, q.left);
singleRightRotate(ref root, q);
}
public Color nodecolor(NodeAVL node)
{
return(node.color == Color.Black ? Color.Black : node.color);
}