import java.awt.*; import javax.swing.*; import javax.swing.Timer; import java.awt.event.*; import java.util.*; public class AVLTreeAnimation extends JApplet { private AVLTree tree = new AVLTree(); private AVLTree treeCopy; public AVLTreeAnimation() { /* tree.insert(50); tree.insert(25); tree.insert(75); tree.insert(12); tree.insert(30); tree.insert(70); tree.insert(80); tree.insert(110); tree.insert(10); */ setUI(); } public static void main(String[] args) { JFrame frame = new JFrame("AVLTreeAnimation"); JApplet applet = new AVLTreeAnimation(); frame.add(applet); frame.setSize(500, 300); frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE); frame.setLocationRelativeTo(null); frame.setVisible(true); } private JButton jbtSearch = new JButton("Search"); private JButton jbtInsert = new JButton("Insert"); private JButton jbtDelete = new JButton("Delete"); private JTextField jtfKey = new JTextField(5); private PaintTree paintTree = new PaintTree(); private void setUI() { setLayout(new BorderLayout()); add(paintTree, BorderLayout.CENTER); JPanel panel = new JPanel(); panel.add(new JLabel("Enter a key: ")); panel.add(jtfKey); panel.add(jbtSearch); panel.add(jbtInsert); panel.add(jbtDelete); add(panel, BorderLayout.SOUTH); jbtSearch.addActionListener(new ActionListener() { public void actionPerformed(ActionEvent e) { int key = Integer.parseInt(jtfKey.getText()); if (!tree.search(key)) { JOptionPane.showMessageDialog(null, key + " is not in the tree"); } else { paintTree.setOfHighlightedNodes.clear(); timer = new Timer(1000, new AnimationListener(null, 0)); paths = tree.path(key); timer.start(); } } }); jbtInsert.addActionListener(new ActionListener() { public void actionPerformed(ActionEvent e) { int key = Integer.parseInt(jtfKey.getText()); if (tree.search(key)) { JOptionPane.showMessageDialog(null, key + " is already in the tree"); } else { treeCopy = (AVLTree)(tree.clone()); paintTree.setOfHighlightedNodes.clear(); paths = tree.path(key); timer = new Timer(1000, new AnimationListener(key, 1)); timer.start(); } } }); jbtDelete.addActionListener(new ActionListener() { public void actionPerformed(ActionEvent e) { int key = Integer.parseInt(jtfKey.getText()); if (!tree.search(key)) { JOptionPane.showMessageDialog(null, key + " is not in the tree"); } else { treeCopy = (AVLTree)(tree.clone()); paintTree.setOfHighlightedNodes.clear(); paths = tree.path(key); timer = new Timer(1000, new AnimationListener(key, 2)); timer.start(); } } }); } Timer timer; AnimationRotationAfterDeletion deleteAnimation = new AnimationRotationAfterDeletion(null); Timer timerForDelete = new Timer(500, deleteAnimation); protected ArrayList> paths = new ArrayList>(); class AnimationListener implements ActionListener { int mode = 0; // 0 for search, 1 for insert, and 2 for delete Integer key = null; public AnimationListener(Integer key, int mode) { this.key = key; this.mode = mode; } public void actionPerformed(ActionEvent e) { if (!paths.isEmpty()) paintTree.setOfHighlightedNodes.add(paths.remove(0)); else { timer.stop(); if (mode == 1) { tree.justInsert(key); timer = new Timer(500, new AnimationRotationAfterInsertion(key)); timer.start(); } else if (mode == 2) { deleteAnimation.setKey(key); timerForDelete.start(); } } paintTree.repaint(); } } class AnimationRotationAfterInsertion implements ActionListener { int mode = 0; // 0 for search, 1 for insert, and 2 for delete Integer key = null; int count = 0; HashSet> set1 = new HashSet>(); HashSet> set2 = new HashSet>(); public void setKey(Integer key) { this.key = key; } public AnimationRotationAfterInsertion(Integer key) { this.key = key; set2 = tree.findImbalanceSubtree(key); if (set2.size() == 0) count = 16; } public void actionPerformed(ActionEvent e) { if (count++ <= 15) { if (count % 2 == 0) paintTree.setOfHighlightedNodes = set2; else paintTree.setOfHighlightedNodes = set1; } else { timer.stop(); tree = treeCopy; tree.insert(key); } paintTree.repaint(); } } class AnimationRotationAfterDeletion implements ActionListener { int mode = 0; // 0 for search, 1 for insert, and 2 for delete Integer key = null; int count = 0; HashSet> set1 = new HashSet>(); HashSet> set2 = new HashSet>(); public void setKey(Integer key) { this.key = key; Integer startingElement = tree.findStartingNodeForDeletion(key); tree.justDelete(key); set2 = tree.findImbalanceSubtreeForDeletion(startingElement); if (set2.size() == 0) count = 16; else count = 0; } public AnimationRotationAfterDeletion(Integer key) { this.key = key; } public void actionPerformed(ActionEvent e) { if (count++ <= 15) { if (count % 2 == 0) paintTree.setOfHighlightedNodes = set2; else paintTree.setOfHighlightedNodes = set1; } else { timerForDelete.stop(); tree = treeCopy; tree.delete(key); } paintTree.repaint(); } } class PaintTree extends JPanel { protected HashSet> setOfHighlightedNodes = new HashSet>(); protected int radius = 20; protected int virticalGap = 50; protected void paintComponent(Graphics g) { super.paintComponent(g); // Display root displayTree(g, tree.getRoot(), getWidth() / 2, 30, getWidth() / 4); } /** (x, y) is the center of the root */ private void displayTree(Graphics g, AVLTree.TreeNode root, int x, int y, int gap) { if (root != null) { // Display root if (setOfHighlightedNodes.contains(root)) { g.setColor(Color.GREEN); g.fillOval(x - radius, y - radius, 2 * radius, 2 * radius); g.setColor(Color.BLACK); } else { g.drawOval(x - radius, y - radius, 2 * radius, 2 * radius); } g.drawString(root.element + "", x - 6, y + 4); // Draw a line to the left node if (root.left != null) connectLeftChild(g, x - gap, y + virticalGap, x, y); // Draw left subtree displayTree(g, root.left, x - gap, y + virticalGap, gap / 2); // Draw a line to the right node if (root.right != null) connectRightChild(g, x + gap, y + virticalGap, x, y); // Draw right subtree displayTree(g, root.right, x + gap, y + virticalGap, gap / 2); } } private void connectLeftChild(Graphics g, int x1, int y1, int x2, int y2) { // (x1, y1) is for left child and (x2, y2) is for the parent double r = Math.sqrt(virticalGap * virticalGap + (x2 - x1) * (x2 - x1)); int x11 = (int)(x1 + radius * (x2 - x1) / r); int y11 = (int)(y1 - radius * virticalGap / r); int x21 = (int)(x2 - radius * (x2 - x1) / r); int y21 = (int)(y2 + radius * virticalGap / r); g.drawLine(x11, y11, x21, y21); } private void connectRightChild(Graphics g, int x1, int y1, int x2, int y2) { // (x1, y1) is for left child and (x2, y2) is for the parent double r = Math.sqrt(virticalGap * virticalGap + (x2 - x1) * (x2 - x1)); int x11 = (int)(x1 - radius * (x1 - x2) / r); int y11 = (int)(y1 - radius * virticalGap / r); int x21 = (int)(x2 + radius * (x1 - x2) / r); int y21 = (int)(y2 + radius * virticalGap / r); g.drawLine(x11, y11, x21, y21); } } static class AVLTree> extends BinaryTree implements Cloneable { /** Create a default AVL tree */ public AVLTree() { } /** Create an AVL tree from an array of objects */ public AVLTree(E[] objects) { super(objects); } /** Override createNewNode to create an AVLTreeNode */ protected AVLTreeNode createNewNode(E o) { return new AVLTreeNode(o); } /** insert for animation only */ public boolean justInsert(E o) { return super.insert(o); } public boolean justDelete(E element) { return super.delete(element); } /** Override the insert method to balance the tree if necessary */ public boolean insert(E o) { boolean successful = super.insert(o); if (!successful) return false; // o is already in the tree else { balancePath(o); // Balance from o to the root if necessary } return true; // o is inserted } /* For animation */ public java.util.HashSet> findImbalanceSubtree(E o) { java.util.HashSet> set = new java.util.HashSet>(); if (findImbalanceNode(o) == null) return set; else { AVLTreeNode root = findImbalanceNode(o); addDecendantsToSet(root, set); return set; } } /* For animation */ public java.util.HashSet> findImbalanceSubtreeForDeletion(E o) { java.util.HashSet> set = new java.util.HashSet>(); if (findImbalanceNode(o) == null) return set; else { AVLTreeNode root = findImbalanceNode(o); addDecendantsToSet(root, set); return set; } } /* For animation */ private void addDecendantsToSet(TreeNode root, java.util.HashSet> set) { if (root != null) { set.add(root); addDecendantsToSet((AVLTreeNode)root.left, set); addDecendantsToSet((AVLTreeNode)root.right, set); } } /* For animation */ private AVLTreeNode findImbalanceNode(E o) { if (o == null) return null; java.util.ArrayList> path = path(o); for (int i = path.size() - 1; i >= 0; i--) { AVLTreeNode A = (AVLTreeNode)(path.get(i)); updateHeight(A); AVLTreeNode parentOfA = (A == root) ? null : (AVLTreeNode)(path.get(i - 1)); switch (balanceFactor(A)) { case -2: return A; case +2: return A; } } return null; } /* For animation */ private E findStartingNodeForDeletion(E element) { if (root == null) return null; // Element is not in the tree // Locate the node to be deleted and also locate its parent node TreeNode parent = null; TreeNode current = root; while (current != null) { if (element.compareTo(current.element) < 0) { parent = current; current = current.left; } else if (element.compareTo(current.element) > 0) { parent = current; current = current.right; } else break; // Element is in the tree pointed by current } if (current == null) return null; // Element is not in the tree // Case 1: current has no left children (See Figure 23.6) if (current.left == null) { // Connect the parent with the right child of the current node if (parent == null) { return null; } else { return parent.element; } } else { // Case 2: The current node has a left child // Locate the rightmost node in the left subtree of // the current node and also its parent TreeNode parentOfRightMost = current; TreeNode rightMost = current.left; while (rightMost.right != null) { parentOfRightMost = rightMost; rightMost = rightMost.right; // Keep going to the right } // Balance the tree if necessary return parentOfRightMost.element; } } /** Update the height of a specified node */ private void updateHeight(AVLTreeNode node) { if (node.left == null && node.right == null) // node is a leaf node.height = 0; else if (node.left == null) // node has no left subtree node.height = 1 + ((AVLTreeNode)(node.right)).height; else if (node.right == null) // node has no right subtree node.height = 1 + ((AVLTreeNode)(node.left)).height; else node.height = 1 + Math.max(((AVLTreeNode)(node.right)).height, ((AVLTreeNode)(node.left)).height); } /** Balance the nodes in the path from the specified * node to the root if necessary */ private void balancePath(E o) { java.util.ArrayList> path = path(o); for (int i = path.size() - 1; i >= 0; i--) { AVLTreeNode A = (AVLTreeNode)(path.get(i)); updateHeight(A); AVLTreeNode parentOfA = (A == root) ? null : (AVLTreeNode)(path.get(i - 1)); switch (balanceFactor(A)) { case -2: if (balanceFactor((AVLTreeNode)A.left) <= 0) { balanceLL(A, parentOfA); // Perform LL rotation } else { balanceLR(A, parentOfA); // Perform LR rotation } break; case +2: if (balanceFactor((AVLTreeNode)A.right) >= 0) { balanceRR(A, parentOfA); // Perform RR rotation } else { balanceRL(A, parentOfA); // Perform RL rotation } } } } /** Return the balance factor of the node */ private int balanceFactor(AVLTreeNode node) { if (node.right == null) // node has no right subtree return -node.height; else if (node.left == null) // node has no left subtree return +node.height; else return ((AVLTreeNode)node.right).height - ((AVLTreeNode)node.left).height; } /** Balance LL (see Figure 9.1) */ private void balanceLL(TreeNode A, TreeNode parentOfA) { TreeNode B = A.left; // A is left-heavy and B is left-heavy if (A == root) { root = B; } else { if (parentOfA.left == A) { parentOfA.left = B; } else { parentOfA.right = B; } } A.left = B.right; // Make T2 the left subtree of A B.right = A; // Make A the left child of B updateHeight((AVLTreeNode)A); updateHeight((AVLTreeNode)B); } /** Balance LR (see Figure 9.1(c)) */ private void balanceLR(TreeNode A, TreeNode parentOfA) { TreeNode B = A.left; // A is left-heavy TreeNode C = B.right; // B is right-heavy if (A == root) { root = C; } else { if (parentOfA.left == A) { parentOfA.left = C; } else { parentOfA.right = C; } } A.left = C.right; // Make T3 the left subtree of A B.right = C.left; // Make T2 the right subtree of B C.left = B; C.right = A; // Adjust heights updateHeight((AVLTreeNode)A); updateHeight((AVLTreeNode)B); updateHeight((AVLTreeNode)C); } /** Balance RR (see Figure 9.1(b)) */ private void balanceRR(TreeNode A, TreeNode parentOfA) { TreeNode B = A.right; // A is right-heavy and B is right-heavy if (A == root) { root = B; } else { if (parentOfA.left == A) { parentOfA.left = B; } else { parentOfA.right = B; } } A.right = B.left; // Make T2 the right subtree of A B.left = A; updateHeight((AVLTreeNode)A); updateHeight((AVLTreeNode)B); } /** Balance RL (see Figure 9.1(d)) */ private void balanceRL(TreeNode A, TreeNode parentOfA) { TreeNode B = A.right; // A is right-heavy TreeNode C = B.left; // B is left-heavy if (A == root) { root = C; } else { if (parentOfA.left == A) { parentOfA.left = C; } else { parentOfA.right = C; } } A.right = C.left; // Make T2 the right subtree of A B.left = C.right; // Make T3 the left subtree of B C.left = A; C.right = B; // Adjust heights updateHeight((AVLTreeNode)A); updateHeight((AVLTreeNode)B); updateHeight((AVLTreeNode)C); } /** Delete an element from the binary tree. * Return true if the element is deleted successfully * Return false if the element is not in the tree */ public boolean delete(E element) { if (root == null) return false; // Element is not in the tree // Locate the node to be deleted and also locate its parent node TreeNode parent = null; TreeNode current = root; while (current != null) { if (element.compareTo(current.element) < 0) { parent = current; current = current.left; } else if (element.compareTo(current.element) > 0) { parent = current; current = current.right; } else break; // Element is in the tree pointed by current } if (current == null) return false; // Element is not in the tree // Case 1: current has no left children (See Figure 23.6) if (current.left == null) { // Connect the parent with the right child of the current node if (parent == null) { root = current.right; } else { if (element.compareTo(parent.element) < 0) parent.left = current.right; else parent.right = current.right; // Balance the tree if necessary balancePath(parent.element); } } else { // Case 2: The current node has a left child // Locate the rightmost node in the left subtree of // the current node and also its parent TreeNode parentOfRightMost = current; TreeNode rightMost = current.left; while (rightMost.right != null) { parentOfRightMost = rightMost; rightMost = rightMost.right; // Keep going to the right } // Replace the element in current by the element in rightMost current.element = rightMost.element; // Eliminate rightmost node if (parentOfRightMost.right == rightMost) parentOfRightMost.right = rightMost.left; else // Special case: parentOfRightMost is current parentOfRightMost.left = rightMost.left; // Balance the tree if necessary balancePath(parentOfRightMost.element); } size--; return true; // Element inserted } /** AVLTreeNode is TreeNode plus height */ protected static class AVLTreeNode> extends BinaryTree.TreeNode { int height = 0; // New data field public AVLTreeNode(E o) { super(o); } } public Object clone() { AVLTree tree = new AVLTree(); LinkedList> queue = new LinkedList>(); if (root == null) return tree; queue.add((AVLTreeNode)root); while (queue.size() > 0) { AVLTreeNode node = queue.remove(0); tree.insert(node.element); if (node.left != null) queue.add((AVLTreeNode)(node.left)); if (node.right != null) queue.add((AVLTreeNode)(node.right)); } return tree; } } }