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7 changed files with 525 additions and 1 deletions

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package ch.nuth.zhaw.exbox;
/**
* Implements an AVL tree.
* Note that all "matching" is based on the compareTo method.
* @author Mark Allen Weiss
* Generic K.Rege
*/
public class AVLSearchTree<T extends Comparable<T>> extends SortedBinaryTree<T> {
private boolean balanced(TreeNode<T> node) {
// TODO Implement (6.4)
return true;
}
public boolean balanced() {
return balanced(root);
}
@Override
protected int calcSize(TreeNode<T> p) {
// TODO Implement (6.2)
return super.calcSize(p);
}
/**
* Return the height of node t, or 0, if null.
*/
private static <T extends Comparable<T>> int height(TreeNode<T> t) {
return t == null ? 0 : t.height;
}
/**
* Insert into the tree; duplicates are ignored.
* @param element the item to insert.
*/
public void add(T element) {
root = insertAt(root, element);
}
private TreeNode<T> balance(TreeNode<T> p) {
if (p == null) {
return null;
} else if (height(p.left) - height(p.right) == 2) {
if (height(p.left.left) >= height(p.left.right)) {
// TODO Implement (6.2)
p = rotateR(p);
} else {
// TODO Implement (6.2)
p = rotateLR(p);
}
} else if (height(p.right) - height(p.left) == 2) {
if (height(p.right.right) >= height(p.right.left)) {
// TODO Implement (6.2)
p = rotateL(p);
} else {
// TODO Implement (6.2)
p = rotateRL(p);
}
}
p.height = Math.max(height(p.left), height(p.right)) + 1;
return p;
}
/**
* Internal method to insert into a subtree.
* @param element the item to insert.
* @param p the node that roots the tree.
* @return the new root.
*/
private TreeNode<T> insertAt(TreeNode<T> p, T element) {
if (p == null) {
p = new TreeNode<>(element);
p.height = 1;
return p;
} else {
int c = element.compareTo(p.getValue());
if (c == 0) {
p.values.add(element);
} else if (c < 0) {
p.left = insertAt(p.left, element);
} else {
p.right = insertAt(p.right, element);
}
}
p = balance(p);
return p;
}
// find node to replace
private TreeNode<T> rep;
private TreeNode<T> findRepAt(TreeNode<T> node) {
if (node.right != null) {
node.right = findRepAt(node.right);
node = balance(node);
} else {
rep = node;
node = node.left;
}
return node;
}
private T removed;
// remove node
private TreeNode<T> removeAt(TreeNode<T> node, T x) {
if (node == null) {
return null;
} else {
if (x.compareTo(node.getValue()) == 0) {
// found
removed = node.getValue();
if (node.values.size() > 1) {
node.values.remove(0);
return node;
} else if (node.left == null) {
node = node.right;
} else if (node.right == null) {
node = node.left;
} else {
node.left = findRepAt(node.left);
rep.left = node.left;
rep.right = node.right;
node = rep;
}
} else if (x.compareTo(node.getValue()) <= 0) {
// search left
node.left = removeAt(node.left, x);
} else {
// search right
node.right = removeAt(node.right, x);
}
// TODO Implement (6.5)
return node;
}
}
/**
* Remove from the tree. Nothing is done if x is not found.
* @param x the item to remove.
*/
public T remove(T x) {
removed = null;
root = removeAt(root, x);
return removed;
}
public Traversal<T> traversal() {
return new AVLTreeTraversal<>(root);
}
public T removeLast() {
throw new UnsupportedOperationException();
}
/**
* Rotate binary tree node with left child.
* For AVL trees, this is a single rotation for case 1.
* Update heights, then return new root.
*/
private static <T extends Comparable<T>> TreeNode<T> rotateR(TreeNode<T> k2) {
TreeNode<T> k1 = k2.left;
k2.left = k1.right;
k1.right = k2;
k2.height = Math.max(height(k2.left), height(k2.right)) + 1;
k1.height = Math.max(height(k1.left), k2.height) + 1;
return k1;
}
/**
* Rotate binary tree node with right child.
* For AVL trees, this is a single rotation for case 4.
* Update heights, then return new root.
*/
private static <T extends Comparable<T>> TreeNode<T> rotateL(TreeNode<T> k1) {
TreeNode<T> k2 = k1.right;
k1.right = k2.left;
k2.left = k1;
k1.height = Math.max(height(k1.left), height(k1.right)) + 1;
k2.height = Math.max(height(k2.right), k1.height) + 1;
return k2;
}
/**
* Double rotate binary tree node: first left child
* with its right child; then node k3 with new left child.
* For AVL trees, this is a double rotation for case 2.
* Update heights, then return new root.
*/
private static <T extends Comparable<T>> TreeNode<T> rotateLR(TreeNode<T> k3) {
k3.left = rotateL(k3.left);
return rotateR(k3);
}
/**
* Double rotate binary tree node: first right child
* with its left child; then node k1 with new right child.
* For AVL trees, this is a double rotation for case 3.
* Update heights, then return new root.
*/
private static <T extends Comparable<T>> TreeNode<T> rotateRL(TreeNode<T> k1) {
k1.right = rotateR(k1.right);
return rotateL(k1);
}
}

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package ch.nuth.zhaw.exbox;
import java.util.LinkedList;
import java.util.Queue;
public class AVLTreeTraversal<T extends Comparable<T>> implements Traversal<T> {
private final TreeNode<T> root;
public AVLTreeTraversal(TreeNode<T> root) {
this.root = root;
}
private void inorder(TreeNode<T> node, Visitor<T> vis) {
if (node != null) {
inorder(node.left, vis);
for (T v : node.values) vis.visit(v);
inorder(node.right, vis);
}
}
public void inorder(Visitor<T> vis) {
inorder(root, vis);
}
private void preorder(TreeNode<T> node, Visitor<T> vis) {
if (node != null) {
for (T v : node.values) vis.visit(v);
preorder(node.left, vis);
preorder(node.right, vis);
}
}
public void preorder(Visitor<T> vis) {
preorder(root, vis);
}
private void postorder(TreeNode<T> node, Visitor<T> vis) {
if (node != null) {
postorder(node.left, vis);
postorder(node.right, vis);
for (T v : node.values) vis.visit(v);
}
}
public void postorder(Visitor<T> vis) {
postorder(root, vis);
}
void levelorder(TreeNode<T> node, Visitor<T> visitor) {
Queue<TreeNode<T>> q = new LinkedList<>();
if (node != null) {
q.offer(node);
}
while (!q.isEmpty()) {
node = q.poll();
for (T v : node.values) visitor.visit(v);
if (node.left != null) {
q.offer(node.left);
}
if (node.right != null) {
q.offer(node.right);
}
}
}
public void levelorder(Visitor<T> vis) {
levelorder(root, vis);
}
private void interval(T min, T max, Visitor<T> visitor, TreeNode<T> node) {
if (node != null) {
if (0 > node.getValue().compareTo(min)) {
interval(min, max, visitor, node.right);
} else if (0 < node.getValue().compareTo(max)) {
interval(min, max, visitor, node.left);
} else {
for (T v : node.values) visitor.visit(v);
interval(min, max, visitor, node.left);
interval(min, max, visitor, node.right);
}
}
}
@Override
public void interval(T min, T max, Visitor<T> v) {
interval(min, max, v, this.root);
}
}

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package ch.nuth.zhaw.exbox;
import java.util.List;
import java.util.concurrent.atomic.AtomicInteger;
public class RankingAVLTreeServer implements CommandExecutor {
public Tree<Competitor> createTree(String rankingText) {
SortedBinaryTree<Competitor> result = new AVLSearchTree<>();
List<Competitor> competitors = new RankingListServer().createList(rankingText);
for (Competitor competitor : competitors) {
result.add(competitor);
}
return result;
}
public String createSortedText(Tree<Competitor> competitorTree) {
AtomicInteger rank = new AtomicInteger(1);
StringBuilder sb = new StringBuilder();
competitorTree.traversal().inorder(
(competitor) -> {
competitor.setRank(rank.getAndIncrement());
sb.append(competitor);
sb.append(System.lineSeparator());
});
return sb.toString();
}
public String execute(String rankingList) {
Tree<Competitor> competitorTree = createTree(rankingList);
return "Rangliste (Tree)\n" + createSortedText(competitorTree) + "\n\n" +
"Height: " + competitorTree.height() + "\nSize: " + competitorTree.size();
}
}

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@ -32,6 +32,7 @@ public class RankingTreeServer implements CommandExecutor {
public String execute(String rankingList) {
Tree<Competitor> competitorTree = createTree(rankingList);
return "Rangliste (Tree)\n" + createSortedText(competitorTree);
return "Rangliste (Tree)\n" + createSortedText(competitorTree) + "\n\n" +
"Height: " + competitorTree.height() + "\nSize: " + competitorTree.size();
}
}

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package ch.nuth.zhaw.exbox;
import org.junit.jupiter.api.BeforeEach;
import org.junit.jupiter.api.Test;
import static org.junit.jupiter.api.Assertions.assertEquals;
import static org.junit.jupiter.api.Assertions.assertTrue;
/**
* @(#)TreeTest.java
*
*
* @author K Rege
* @version 1.00 2018/3/17
* @version 1.01 2021/8/1
*/
public class ADS6_2_test {
Tree<String> tree;
@BeforeEach
public void setUp() {
tree = new AVLSearchTree<>();
tree.add("B");
tree.add("A");
tree.add("C");
tree.add("D");
}
@Test
public void testInorder() {
Visitor<String> v = new MyVisitor<>();
tree.traversal().inorder(v);
assertEquals("ABCD", v.toString(), "inorder");
}
@Test
public void testPreorder() {
Visitor<String> v = new MyVisitor<>();
tree.traversal().preorder(v);
assertEquals("BACD", v.toString(), "preorder");
}
@Test
public void testPostorder() {
Visitor<String> v = new MyVisitor<>();
tree.traversal().postorder(v);
assertEquals("ADCB", v.toString(), "postorder");
}
@Test
public void testLevelorder() {
Visitor<String> v = new MyVisitor<>();
tree.traversal().levelorder(v);
assertEquals("BACD", v.toString(), "levelorder");
}
@Test
public void testInterval() {
char left = 'K';
char right = 'O';
for (int i = 0; i < 200; i++) {
char c = (char) ('A' + (Math.random() * 26));
tree.add(Character.toString(c));
}
// get all elements with inorder
Visitor<String> v = new MyVisitor<>();
tree.traversal().inorder(v);
int count = 0;
String s = v.toString();
for (int i = 0; i < s.length(); i++) {
if (s.charAt(i) >= left && s.charAt(i) <= right) count++;
}
// now interval
v = new MyVisitor<>();
tree.traversal().interval(((Character)left).toString(), Character.toString(right), v);
s = v.toString();
for (int i = 0; i < s.length(); i++) {
char c = s.charAt(i);
assertTrue(c >= left && c <= right, c + " in interval " + left + " " + right);
}
assertEquals(count, s.length(), "size");
}
}
class MyVisitor<T> implements Visitor<T> {
StringBuilder output;
MyVisitor() {
output = new StringBuilder();
}
public void visit(T s) {
output.append(s);
}
public String toString() {
return output.toString();
}
}

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package ch.nuth.zhaw.exbox;
import org.junit.jupiter.api.BeforeEach;
import org.junit.jupiter.api.Test;
import static org.junit.jupiter.api.Assertions.assertFalse;
import static org.junit.jupiter.api.Assertions.assertTrue;
/**
* @(#)TreeTest.java
*
*
* @author K Rege
* @version 1.00 2018/3/17
* @version 1.01 2021/8/1
*/
public class ADS6_4_test {
MyTree<String> tree;
static class MyTree<T extends Comparable<T>> extends AVLSearchTree<T> {
TreeNode<T> getRoot () {
return root;
}
}
@BeforeEach
public void setUp() {
tree = new MyTree<>();
tree.add("B");
tree.add("A");
tree.add("C");
tree.add("D");
}
@Test
public void testBalanced() {
assertTrue(tree.balanced(), "should be balanced");
TreeNode<String> n = tree.getRoot();
n.right.right.right = new TreeNode<>("Z");
assertFalse(tree.balanced(), "should not be balanced");
}
}

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package ch.nuth.zhaw.exbox;
import org.junit.jupiter.api.Test;
import java.util.Collections;
import java.util.LinkedList;
import java.util.List;
import static org.junit.jupiter.api.Assertions.assertEquals;
import static org.junit.jupiter.api.Assertions.assertTrue;
/**
* @(#)TreeTest.java
*
*
* @author K Rege
* @version 1.00 2018/3/17
* @version 1.01 2021/8/1
*/
public class ADS6_5_test {
Tree<String> tree;
@Test
public void testMixed() {
tree = new AVLSearchTree<>();
List<String> list = new LinkedList<>();
for (int i = 0; i < 1000; i++) {
char c = (char) ('A' + (Math.random() * 26));
int op = (int) (Math.random() * 2);
switch (op) {
case 0:
list.add(Character.toString(c));
tree.add(Character.toString(c));
break;
case 1:
list.remove(Character.toString(c));
tree.remove(Character.toString(c));
break;
}
}
assertEquals(list.size(), tree.size());
Collections.sort(list);
String expected = String.join("", list);
Visitor<String> v = new MyVisitor<>();
tree.traversal().inorder(v);
assertEquals(expected, v.toString(), "mixed");
assertTrue(tree.balanced(), "balanced");
}
}