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Terry: code modification on top of Pauls Code (Main, Wrapper and RBTree classes. now it works but only for every node an arrow extra )
master
Terry: code modification on top of Pauls Code (Main, Wrapper and RBTree classes. now it works but only for every node an arrow extra )
master
Terry Kwan
11 months ago
3 changed files with 433 additions and 0 deletions
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class IntComparable implements Comparable<IntComparable> { |
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private int value; |
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IntComparable(int value) { |
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this.value = value; |
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} |
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@Override |
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public int compareTo(IntComparable other) { |
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return Integer.compare(this.value, other.value); |
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} |
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// Terry newly added |
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public int getValue() { |
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return value; |
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} |
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@Override |
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public String toString() { |
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// Verwenden Sie eine geeignete String-Darstellung, zum Beispiel den Wert selbst |
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return Integer.toString(value); |
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} |
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} |
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import java.util.*; |
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public class Main { |
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public static void main(String[] args) { |
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Random random = new Random(); |
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RBTree<IntComparable> rbTree = new RBTree<>(); |
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ArrayList<Integer> numbers = new ArrayList<>(); |
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// ein eingebauter Mechanismus, der sicherstellt, dass eine Zahl nicht 2-mal vorkommt, sonst würde der Baum nicht funktionieren |
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// Füllen der Liste mit Zahlen |
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for (int j = 1; j <= 100; j++) { |
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numbers.add(j); |
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} |
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// Terry newly added |
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Collections.shuffle(numbers); // Liste mischen |
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for (int i = 0; i < 15; i++) { |
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int pickedNumber = numbers.remove(0); // Entfernt das Element an dem "Index", return es und speichert es in 'pickedNumber' |
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IntComparable randomNum = new IntComparable(pickedNumber); |
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System.out.println("Einfügen: " + randomNum.getValue()); |
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rbTree.insertNode(randomNum); |
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// Füge das Element ein und aktualisiere die DOT-Datei nach jedem Schritt |
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rbTree.printDOTAfterInsert("output_step_" + i + ".dot"); |
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} |
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// Jetzt können Sie die DOT-Dateien in SVG umwandeln und anzeigen |
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// dot -Tsvg output_step_0.dot > output_step_0.svg |
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// dot -Tsvg output_step_1.dot > output_step_1.svg |
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// ... |
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} |
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} |
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@ -0,0 +1,369 @@ |
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import java.io.FileWriter; |
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import java.io.IOException; |
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// |
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class RBTree<T extends Comparable<T>> { |
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private static final boolean RED = true; |
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private static final boolean BLACK = false; |
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private class Node { |
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T key; |
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Node left, right, parent; // Elternknoten hinzugefügt |
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boolean color; |
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public Node(T key) { // Konstruktor von Node-Class |
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this.key = key; |
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left = right = parent = null; |
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this.color = true; // Neue Knoten sind standardmäßig rot |
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} |
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} |
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private Node root; |
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public void insertNode(T key) { // hier nicht int-DT, sondern T, |
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// mit jedem vergleichbaren Datentyp (T) |
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// verwendet werden kann, solange dieser das Comparable-Interface implementiert. |
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Node node = root; |
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Node parent = null; |
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// Traverse the tree to the left or right depending on the key |
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while (node != null) { |
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parent = node; |
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if (key.compareTo(node.key) < 0) { // key < node.key |
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node = node.left; |
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} else if (key.compareTo(node.key) > 0) { // key > node.key |
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node = node.right; |
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} else { |
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throw new IllegalArgumentException("BST already contains a node with key " + key); |
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} |
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} |
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// Insert new node |
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Node newNode = new Node(key); |
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newNode.color = true; // neuer Knoten immer rot |
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if (parent == null) { |
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root = newNode; |
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} else if (key.compareTo(parent.key) < 0) { // key < parent.key |
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parent.left = newNode; |
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} else { // key > parent.key |
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parent.right = newNode; |
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} |
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newNode.parent = parent; |
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fixColorafterInsert(newNode); |
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} |
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/* |
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* Fix any Red-Black tree violations |
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* if (isRed(root.right) && !isRed(root.left)) { |
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* root = rotateLeft(root); |
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* } |
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* if (isRed(root.left) && isRed(root.left.left)) { |
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* root = rotateRight(root); |
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* } |
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* if (isRed(root.left) && isRed(root.right)) { |
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* flipColors(root); |
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* } |
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*/ |
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private Node getUncle(Node parent) { |
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Node grandparent = parent.parent; |
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if (grandparent.left == parent) { |
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return grandparent.right; // right is the uncle |
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} else if (grandparent.right == parent) { |
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return grandparent.left; // left is the uncle |
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} else { |
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throw new IllegalStateException("Parent is not a child of its grandparent"); |
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} |
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} |
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private void fixColorafterInsert(Node node) { |
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Node parent = node.parent; |
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// Case 1: no root, add node as new root, root is always black |
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if (parent == null) { |
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node.color = false; |
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return; |
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} |
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// Parent is black --> nothing to do |
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if (parent.color == false) { // Abbildung S.312, aber beide Knoten sind schon schwarz gefärbt |
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return; |
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} |
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// From here on, parent(vater) is red |
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Node grandparent = parent.parent; |
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Node uncle = getUncle(parent); // Get the uncle (maybe nil, in which case its color is BLACK) |
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// Case 3 (parent uncle red, Abbildung S.313, 314): recolor parent, grandparent |
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// and uncle |
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if (uncle != null && uncle.color == true) { |
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parent.color = false; |
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uncle.color = false; |
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grandparent.color = true; |
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// Call recursively for grandparent, which is now red. fix recursively |
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fixColorafterInsert(grandparent); |
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} |
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// Parent is left child of grandparent |
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// Case 4a: Uncle is black(nil is default black) and node is left --> right |
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// "inner child" of its grandparent |
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else if (parent == grandparent.left) { |
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if (node == parent.right) { |
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rotateLeft(parent); |
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// Let "parent" point to the new root node of the rotated sub-tree. |
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// It will be recolored in the next step, which we're going to fall-through to. |
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parent = node; |
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} |
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// Case 5a: Uncle is black and node is left->left "outer child" of its grandparent |
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rotateRight(grandparent); |
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// Recolor original parent and grandparent |
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parent.color = false; |
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grandparent.color = true; |
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} |
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// Parent is right child of grandparent |
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else if (parent == grandparent.right) { |
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// Case 4b: Uncle is black and node is right->left "inner child" of its |
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// grandparent |
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if (node == parent.left) { |
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rotateRight(parent); |
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// Let "parent" point to the new root node of the rotated sub-tree. |
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// It will be recolored in the next step, which we're going to fall-through to. |
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parent = node; |
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} |
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// Case 5b: Uncle is black and node is right->right "outer child" of its |
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// grandparent |
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rotateLeft(grandparent); |
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// Recolor original parent and grandparent |
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parent.color = false; |
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grandparent.color = true; |
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} |
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} |
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private boolean isRed(Node node) { |
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if (node == null) { |
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return false; |
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} |
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return node.color == RED; |
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} |
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private Node rotateLeft(Node node) { |
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Node rightChild = node.right; |
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Node parent = node.parent; |
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node.right = rightChild.left; |
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if (rightChild.left != null) { |
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rightChild.left.parent = node; |
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} |
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rightChild.left = node; |
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node.parent = rightChild; |
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rightChild.parent = parent; |
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if (parent == null) { |
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root = rightChild; |
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} else if (node == parent.left) { |
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parent.left = rightChild; |
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} else if (node == parent.right) { |
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parent.right = rightChild; |
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} else { |
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throw new IllegalStateException("Node is not a child of its parent"); |
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} |
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if (rightChild != null) { |
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rightChild.parent = parent; |
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} |
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RootBlack(); |
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return rightChild; |
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} |
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private Node rotateRight(Node node) { |
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Node leftChild = node.left; |
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Node parent = node.parent; |
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node.left = leftChild.right; |
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if (leftChild.right != null) { |
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leftChild.right.parent = node; |
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} |
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leftChild.right = node; |
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node.parent = leftChild; |
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leftChild.parent = parent; |
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if (parent == null) { |
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root = leftChild; |
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} else if (node == parent.left) { |
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parent.left = leftChild; |
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} else if (node == parent.right) { |
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parent.right = leftChild; |
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} else { |
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throw new IllegalStateException("Node is not a child of its parent"); |
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} |
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if (leftChild != null) { |
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leftChild.parent = parent; |
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} |
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RootBlack(); |
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return leftChild; |
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} |
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/* private void flipColors(Node node) { |
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node.color = !node.color; |
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node.left.color = !node.left.color; |
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node.right.color = !node.right.color; |
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} */ |
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private void RootBlack() { |
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root.color = BLACK; |
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} |
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/* |
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* public void printDOTAfterInsert(String filename, T key) { |
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* try (FileWriter writer = new FileWriter(filename)) { |
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* writer.write("digraph G {\n"); |
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* writer.write("\tnode [style=filled, color=black, shape=circle, width=.6,\n"); |
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* writer.write("\t\tfontname=Helvetica, fontweight=bold, fontcolor=white,\n"); |
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* writer.write("\t\tfontsize=24, fixedsize=true];\n"); |
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* |
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* root = insert(root, null, key); // Füge das Element ein und aktualisiere den |
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* Baum |
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* printDOTRecursive(root, writer); |
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* |
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* writer.write("}\n"); |
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* } catch (IOException e) { |
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* e.printStackTrace(); |
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* } |
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* } |
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*/ |
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public void printDOTAfterInsert(String filename) { |
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try (FileWriter writer = new FileWriter(filename)) { |
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writer.write("digraph G {\n"); |
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writer.write("\tnode [style=filled, color=black, shape=circle, width=.6,\n"); |
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writer.write("\t\tfontname=Helvetica, fontweight=bold, fontcolor=white,\n"); |
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writer.write("\t\tfontsize=24, fixedsize=true];\n"); |
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// Hier wird der gesamte Baum gezeichnet, nicht nur der neu eingefügte Schlüssel |
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printDOTRecursive(root, writer); |
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writer.write("}\n"); |
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} catch (IOException e) { |
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e.printStackTrace(); |
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} |
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} |
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private void printDOTRecursive(Node node, FileWriter writer) throws IOException { |
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if (node != null) { |
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String keyString = node.key.toString().replaceAll("[^a-zA-Z0-9]", "_"); |
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String fillColor = (node.color == RED) ? "red" : "black"; |
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String fontColor = (node.color == RED) ? "white" : "white"; |
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writer.write("\t\"" + keyString + "\" [fillcolor=" + fillColor + ", fontcolor=" + fontColor + "];\n"); |
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// Print parent link |
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if (node.parent != null) { |
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String parentKeyString = node.parent.key.toString().replaceAll("[^a-zA-Z0-9]", "_"); |
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writer.write("\t\"" + parentKeyString + "\" -> \"" + keyString + "\" [style=dotted];\n"); |
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} |
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// Print left child |
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if (node.left != null) { |
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String leftKeyString = node.left.key.toString().replaceAll("[^a-zA-Z0-9]", "_"); |
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writer.write("\t\"" + keyString + "\" -> \"" + leftKeyString + "\";\n"); |
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printDOTRecursive(node.left, writer); |
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} else { |
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String leftNilKeyString = keyString + "_NIL_L"; |
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writer.write("\t\"" + leftNilKeyString + "\" [shape=plaintext, label=\"NIL\", fontsize=16];\n"); |
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writer.write("\t\"" + keyString + "\" -> \"" + leftNilKeyString + "\";\n"); |
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} |
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// Print right child |
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if (node.right != null) { |
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String rightKeyString = node.right.key.toString().replaceAll("[^a-zA-Z0-9]", "_"); |
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writer.write("\t\"" + keyString + "\" -> \"" + rightKeyString + "\";\n"); |
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printDOTRecursive(node.right, writer); |
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} else { |
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String rightNilKeyString = keyString + "_NIL_R"; |
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writer.write("\t\"" + rightNilKeyString + "\" [shape=plaintext, label=\"NIL\", fontsize=16];\n"); |
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writer.write("\t\"" + keyString + "\" -> \"" + rightNilKeyString + "\";\n"); |
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} |
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} |
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} |
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/*public void printDOTAfterInsert(String filename, T key) { |
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try (FileWriter writer = new FileWriter(filename)) { |
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writer.write("digraph G {\n"); |
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writer.write("\tnode [style=filled, color=black, shape=circle, width=.6,\n"); |
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writer.write("\t\tfontname=Helvetica, fontweight=bold, fontcolor=white,\n"); |
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writer.write("\t\tfontsize=24, fixedsize=true];\n"); |
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// Hier wird der gesamte Baum gezeichnet, nicht nur der neu eingefügte Schlüssel |
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printDOTRecursive(root, writer); |
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writer.write("}\n"); |
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} catch (IOException e) { |
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e.printStackTrace(); |
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} |
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} |
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private void printDOTRecursive(Node node, FileWriter writer) throws IOException { |
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if (node != null) { |
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String keyString = node.key.toString().replaceAll("[^a-zA-Z0-9]", "_"); |
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String fillColor = (node.color == RED) ? "red" : "black"; |
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String fontColor = (node.color == RED) ? "white" : "white"; |
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writer.write("\t\"" + keyString + "\" [fillcolor=" + fillColor + ", fontcolor=" + fontColor + "];\n"); |
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/* |
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* Print parent link |
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* if (node.parent != null) { |
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* String parentKeyString = |
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* node.parent.key.toString().replaceAll("[^a-zA-Z0-9]", "_"); |
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* writer.write("\t\"" + parentKeyString + "\" -> \"" + keyString + |
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* "\" [style=dotted];\n"); |
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* } |
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// Print left child |
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if (node.left != null) { |
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String leftKeyString = node.left.key.toString().replaceAll("[^a-zA-Z0-9]", "_"); |
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writer.write("\t\"" + keyString + "\" -> \"" + leftKeyString + "\";\n"); |
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printDOTRecursive(node.left, writer); |
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} else { |
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String leftNilKeyString = keyString + "_NIL_L"; |
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writer.write("\t\"" + leftNilKeyString + "\" [shape=plaintext, label=\"NIL\", fontsize=16];\n"); |
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writer.write("\t\"" + keyString + "\" -> \"" + leftNilKeyString + "\";\n"); |
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} |
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// Print right child |
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if (node.right != null) { |
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String rightKeyString = node.right.key.toString().replaceAll("[^a-zA-Z0-9]", "_"); |
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writer.write("\t\"" + keyString + "\" -> \"" + rightKeyString + "\";\n"); |
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printDOTRecursive(node.right, writer); |
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} else { |
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String rightNilKeyString = keyString + "_NIL_R"; |
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writer.write("\t\"" + rightNilKeyString + "\" [shape=plaintext, label=\"NIL\", fontsize=16];\n"); |
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writer.write("\t\"" + keyString + "\" -> \"" + rightNilKeyString + "\";\n"); |
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} |
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} |
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*/ |
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} |
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