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if (right != null) { rIt = right.new InOrder(); } } public Object next() { if (lIt != null && lIt.hasNext()) { return lIt.next(); } if (!rootDone) { rootDone = true; return root; } if (rIt != null && rIt.hasNext()) { return rIt.next(); } return null; }
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} public class PostOrder extends BinaryTreeIterator { public PostOrder() { if (left != null) { lIt = left.new PostOrder(); } if (right != null) { rIt = right.new PostOrder(); } } public Object next() { if (lIt != null && lIt.hasNext()) { return lIt.next(); } if (rIt != null && rIt.hasNext()) { return rIt.next(); } if (!rootDone) { rootDone = true; return root; } return null; } } public class LevelOrder extends BinaryTreeIterator { Queue<BinaryTree<E>> queue = new ArrayDeque<BinaryTree<E>>(); public boolean hasNext() { return (!rootDone || !queue.isEmpty()); } public Object next() { if (!rootDone) { if (left != null) { queue.add(left); } if (right != null) { queue.add(right); }
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rootDone = true; return root;
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} if (!queue.isEmpty()) { BinaryTree<E> tree = queue.remove(); if (tree.left != null) { queue.add(tree.left); } if (tree.right != null) { queue.add(tree.right); } return tree.root; } return null; } } }
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At line 64 we define an abstract inner class named BinaryTreeIterator. This serves as a base class for all four of the concrete iterator classes. It declares the same three fields (rootDone, rIt, and lIt) as the anonymous iterator class defined previously. The hasNext() and remove() methods are implemented (at lines 57 and 62) the same way the abstract Iterator class was done in the anonymous iterator class. But the next() method is declared abstract because each of the four traversal algorithms has a different implementation of it. The PreOrder class defines the lIt and rIt iterators to be PreOrder iterators in its constructor to ensure that the recursive traversal follows the preorder traversal algorithm. That algorithm (Algorithm 11.3 on page 208) says to visit the root first, and then apply the same algorithm recursively to the left subtree and then to the right subtree. The three if statements do that at lies 77 86. The only differences between the PreOrder, InOrder, and PostOrder classes are their definitions of the recursive rIt and lIt iterators in the constructors and the order of those three if statements in the next() methods. For the InOrder class, the order visits the root between the two recursive traversals. For the PostOrder class, the order visits the root after the two recursive traversals. ( Pre means before, in means between, and post means after.) The LevelOrder traversal class is significantly different from the other three. Instead of being recursive, it uses a queue. (See Algorithm 11.5 on page 209.)
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EXAMPLE 11.24 Testing the Traversal Algorithms
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public class TestIterators { public static void main(String[] args) { BinaryTree<String> e = new BinaryTree<String>("E"); BinaryTree<String> g = new BinaryTree<String>("G"); BinaryTree<String> h = new BinaryTree<String>("H"); BinaryTree<String> i = new BinaryTree<String>("I"); BinaryTree<String> d = new BinaryTree<String>("D",null,g); BinaryTree<String> f = new BinaryTree<String>("F",h,i); BinaryTree<String> b = new BinaryTree<String>("B",d,e); BinaryTree<String> c = new BinaryTree<String>("C",f,null); BinaryTree<String> tree = new BinaryTree<String>("A",b,c); System.out.println("tree = " + tree); java.util.Iterator it; System.out.print("PreOrder Traversal: "); for (it = tree.new PreOrder(); it.hasNext(); ) { System.out.print(it.next() + " "); } System.out.print("\nInOrder Traversal: ");
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