From a59a110e533db1f4a2592af53702121b8a7c2920 Mon Sep 17 00:00:00 2001 From: fdai7303 Date: Mon, 15 Jan 2024 10:02:54 +0100 Subject: [PATCH] =?UTF-8?q?Leo:=20Ordner=20f=C3=BCr=20=C3=9Cbung=2008=20an?= =?UTF-8?q?gelegt?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- Aufteilung.txt => Uebung04/Aufteilung.txt | 0 .../CheckSparseVector.html | 0 .../CheckSparseVector.java | 0 .../SparseVector.html | 0 .../SparseVector.java | 0 .../Suchalgorythmen.java | 0 .../allclasses-index.html | 0 .../allpackages-index.html | 0 blatt04.pdf => Uebung04/blatt04.pdf | Bin copy.svg => Uebung04/copy.svg | 0 element-list => Uebung04/element-list | 0 help-doc.html => Uebung04/help-doc.html | 0 .../index-files}/index-1.html | 0 .../index-files}/index-2.html | 0 .../index-files}/index-3.html | 0 .../index-files}/index-4.html | 0 .../index-files}/index-5.html | 0 .../index-files}/index-6.html | 0 .../index-files}/index-7.html | 0 index.html => Uebung04/index.html | 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a/type-search-index.js b/Uebung04/type-search-index.js similarity index 100% rename from type-search-index.js rename to Uebung04/type-search-index.js diff --git a/Uebung08/Beispieldatei.txt b/Uebung08/Beispieldatei.txt new file mode 100644 index 0000000..005201b --- /dev/null +++ b/Uebung08/Beispieldatei.txt @@ -0,0 +1,34 @@ +// Red Black Tree Example + +digraph G { + graph [ratio=.48]; + node [style=filled, color=black, shape=circle, width=.6 + fontname=Helvetica, fontweight=bold, fontcolor=white, + fontsize=24, fixedsize=true]; + {rank = same; n1; 6; n4; n5; n6; n7; 22; 27}; + + 6, 8, 17, 22, 27 + [fillcolor=red]; + + n1, n2, n3, n4, n5, n6, n7, n8, n9, n10, n11 + [label="NIL", shape=record, width=.4,height=.25, fontsize=16]; + + 13 -> 8, 17; + 8 -> 1 [weight=6]; + 8 -> 11 [weight=5]; + 17 -> 15 [weight=4]; + 17 -> 25 [weight=5]; + 1 -> n1 [weight=7]; + 1 -> 6; + 11 -> n4 [weight=10]; + 11 -> n5 [weight=14]; + 6 -> n2, n3; + 15 -> n6 [weight=14]; + 15 -> n7 [weight=10]; + 25 -> 22; + 25 -> 27 [weight=6]; + 22 -> n8 [weight=5]; + 22 -> n9 [weight=3]; + 27 -> n10 [weight=3]; + 27 -> n11 [weight=5]; +} \ No newline at end of file diff --git a/Uebung08/Main.java b/Uebung08/Main.java new file mode 100644 index 0000000..e53ad14 --- /dev/null +++ b/Uebung08/Main.java @@ -0,0 +1,169 @@ +public class Main { + + public static void main(String[] args) { + + // (ausgelagert) + // erstellen des this.Vektors = control Vector + RBTree controlVector = new RBTree(10); + controlVector.setElement(0, 10.0); + controlVector.setElement(5, 123.213); + controlVector.setElement(8, 65.01); + controlVector.setElement(9, 112.79); + controlVector.setElement(10, -212.79); + System.out.println("\n"); + + // erstellen der testVektoren (the 5 "others") + RBTree otherVector1 = new RBTree(10); + otherVector1.setElement(0, 10.0); + otherVector1.setElement(5, 123.213); + otherVector1.setElement(8, 65.01); + otherVector1.setElement(9, 112.79); + otherVector1.setElement(10, -212.79); + otherVector1.setElement(12, 12); + System.out.println("\n"); + + RBTree otherVector2 = new RBTree(5); + otherVector2.setElement(0, 0); + otherVector2.setElement(1, 2); + otherVector2.setElement(2, 5); + otherVector2.setElement(3, 11.0); + otherVector2.setElement(4, 22.2); + System.out.println("\n"); + + RBTree otherVector3 = new RBTree(20); + otherVector3.setElement(0, 123); + otherVector3.setElement(5, 11); + otherVector3.setElement(6, 20); + otherVector3.setElement(7, 7); + otherVector3.setElement(11, 2); + otherVector3.setElement(14, 3); + otherVector3.setElement(18, 4); + System.out.println("\n"); + + RBTree otherVector4 = new RBTree(10); // ein leerer other. Vektor mit Länge 10 + System.out.println("der Wert des otherVector4 an der Position 0 ist: " + otherVector4.getElement(0)); // 0.0 + System.out.println("der Wert des otherVector4 an der Position 5 ist: " + otherVector4.getElement(5)); // 0.0 + System.out.println("der Wert des otherVector4 an der Position 7 ist: " + otherVector4.getElement(7));// 0.0 + System.out.println("der Wert des otherVector4 an der Position 9 ist: " + otherVector4.getElement(9));// 0.0 + System.out.println("die Länge des otherVector4 ist: " + otherVector4.getLength()); // 10 + try { + System.out.println(otherVector4.getElement(99)); + } catch (Exception e) { + System.out.println(e); + } + try { + System.out.println(otherVector4.getElement(-1)); + } catch (Exception e) { + System.out.println(e); + } + System.out.println("\n"); + + RBTree otherVector5 = new RBTree(20); // ein leerer other. Vektor mit Länge 20 + System.out.println("der Wert des otherVector5 an der Position 0 ist: " + otherVector5.getElement(0)); // 0.0 + System.out.println("der Wert des otherVector5 an der Position 5 ist: " + otherVector5.getElement(5)); // 0.0 + System.out.println("der Wert des otherVector5 an der Position 17 ist: " + otherVector5.getElement(17));// 0.0 + System.out.println("der Wert des otherVector5 an der Position 19 ist: " + otherVector5.getElement(19));// 0.0 + System.out.println("die Länge des otherVector5 ist: " + otherVector5.getLength()); // 20 + try { + System.out.println(otherVector5.getElement(20)); + } catch (Exception e) { + System.out.println(e); + } + try { + System.out.println(otherVector5.getElement(-1)); + } catch (Exception e) { + System.out.println(e); + } + System.out.println("\n"); + + // Testen des this. Vektors --> testen Methoden wie getLength(), getElement(), + // setElement(), removeElement() + System.out.println("die Länge des controlVector ist: " + controlVector.getLength()); // 10 + System.out.println("der Wert des controlVector an der Position 5 ist: " + controlVector.getElement(5)); // 123.213 + System.out.println("der Wert des controlVector an der Position 0 ist: " + controlVector.getElement(0)); // 10.0 + System.out.println("der Wert des controlVector an der Position 1 ist: " + controlVector.getElement(1)); // 0.0 + try { + System.out.println(controlVector.getElement(99)); + } catch (Exception e) { + System.out.println(e); + } + try { + System.out.println(controlVector.getElement(-1)); + } catch (Exception e) { + System.out.println(e); + } + System.out.println("\n"); + + // testen equal(), wenn die beiden Vektoren identisch sind → should be true, not anymore :) + System.out.println(controlVector.equals(otherVector1)); + System.out.println("\n"); + + // Testen: Remove Element + controlVector.removeElement(5); + System.out.println("der Wert des controlVector an der Position 5 ist: " + controlVector.getElement(5)); // 0.0 + System.out.println("Die Länge nach remove ist: " + controlVector.getLength()); // 10 + System.out.println("\n"); + + controlVector.removeElement(7); + System.out.println("der Wert des controlVector an der Position 7 ist: " + controlVector.getElement(7)); // 0.0 + System.out.println("\n"); + + controlVector.setElement(5, 100); + System.out.println("der Wert des controlVector an der Position 5 ist: " + controlVector.getElement(5)); // 100.0 + System.out.println("\n"); + + // testen equals(other) --> nicht identisch + System.out.println(controlVector.equals(otherVector1)); // should be false, weil der Wert an Index 5 zu 100 gesetzt wurde + System.out.println(controlVector.equals(otherVector2)); // should be false + System.out.println(controlVector.equals(otherVector3)); // should be false + System.out.println(controlVector.equals(otherVector4)); // should be false + System.out.println("\n"); + + otherVector1.setElement(5, 100); + System.out.println("der Wert des otherVector1 an der Position 5 ist: " + otherVector1.getElement(5)); // 100.0 + System.out.println(otherVector1.equals(controlVector));// should be true, weil der Wert an Index 5 von this und other Vektor gleich 100 + System.out.println("\n"); + + // testen add() + controlVector.add(otherVector1); + + System.out.println("die Länge des controlVector ist: " + controlVector.getLength()); // 10 + System.out.println("der Wert des controlVector an der Position 0 ist: " + controlVector.getElement(0)); // 10 + 10 = 20 + System.out.println("der Wert des controlVector an der Position 5 ist: " + controlVector.getElement(5)); // 100 + 100 = 200 + System.out.println("der Wert des controlVector an der Position 6 ist: " + controlVector.getElement(6)); // 0.0 + System.out.println("der Wert des controlVector an der Position 8 ist: " + controlVector.getElement(8)); // 65.01 + 65.01 = 130.02 + System.out.println("der Wert des controlVector an der Position 9 ist: " + controlVector.getElement(9)); // 112.79 + 112.79 = 225.58 + System.out.println("\n"); + + controlVector.add(otherVector2); + + controlVector.setElement(3, 90.1); + System.out.println("der Wert des controlVector an der Position 0 ist: " + controlVector.getElement(0)); // 20 + System.out.println("der Wert des controlVector an der Position 3 ist: " + controlVector.getElement(3)); // 90.1 + System.out.println("\n"); + + controlVector.add(otherVector3); + System.out.println("der Wert des controlVector an der Position 0 ist: " + controlVector.getElement(0)); // 20 + System.out.println("der Wert des controlVector an der Position 5 ist: " + controlVector.getElement(5)); // 200 + System.out.println("der Wert des controlVector an der Position 9 ist: " + controlVector.getElement(9)); // 225.58 + System.out.println("\n"); + + controlVector.add(otherVector4); + + System.out.println("der Wert des controlVector an der Position 0 ist: " + controlVector.getElement(0)); + System.out.println("der Wert des controlVector an der Position 5 ist: " + controlVector.getElement(5)); + System.out.println("\n"); + + controlVector.removeElement(0); + + System.out.println("der Wert des controlVector an der Position 0 ist: " + controlVector.getElement(0)); // 0.0 + System.out.println("der Wert des controlVector an der Position 5 ist: " + controlVector.getElement(5)); // 200 + System.out.println("\n"); + + controlVector.add(otherVector5); + System.out.println("der Wert des controlVector an der Position 0 ist: " + controlVector.getElement(0)); // 0.0 + System.out.println("der Wert des controlVector an der Position 5 ist: " + controlVector.getElement(5)); // 200 + System.out.println("\n"); + + } +} diff --git a/Uebung08/RBTree.java b/Uebung08/RBTree.java new file mode 100644 index 0000000..d134017 --- /dev/null +++ b/Uebung08/RBTree.java @@ -0,0 +1,267 @@ +/** + * Sparse Implementierung einer verkettete Liste + */ +public class RBTree { + + /** + * Hilfsklasse, welche ein einzelnes Node repräsentiert. + * + * @author Paul + */ + private class Node { + int index; + double value; + Node next; + + public Node(int index, double value, Node next) { + this.index = index; + this.value = value; + this.next = next; + } + + } + + // Standard Konstruktor mit einem leeren Vektor initialisieren + private Node firstNode = null; + private int length = 0; + + /** + * Konstruktor mit Vektor länge 0 + * + * @author Elif + */ + public RBTree() { + this.firstNode = null; + this.length = 0; + } + + /** + * Konstruktor mit Vektor länge n + * + * @author Elif + * @param n Vektor länge + */ + public RBTree(int n) { + this.firstNode = null; + this.length = n; + } + + /** + * den value in index hinzufügen + * - Aktualisieren des Wertes, wenn der firstNode an dem Index mit einem Wert + * exisitiert + * - Neuer firstNode mit neuem Wert hinzufügen, wenn der firstNode an dem Index + * nicht existiert + * + * @author Elif + * @param index Stelle,w wo Vektor eingefügt werden soll + * @param value wert, den wir übergeben + */ + public void setElement(int index, double value) { + // methode wird aufgerufen, falls index existiert = platz schaffen + removeElement(index); + + int maxIndex = this.getLength() - 1; + // 1. if: schauen, ob Index im erlaubten Bereich + // 2. if: schauen, ob erster Knoten null ist und index von erstem knoten größer + // als index, dann neuen knoten setzen + if (index > maxIndex) { + System.out.println("Fehler: Der Index " + index + " ist außerhalb des erlaubten Bereichs."); + return; + } + + if (this.firstNode == null || this.firstNode.index > index) { + this.firstNode = new Node(index, value, this.firstNode); + + } + // hilfsknoten erstellen + // solange im index und gesuchten index nicht erreicht haben, gehen wir weiter + Node now = this.firstNode; + + while (now.next != null && now.next.index < index) { + now = now.next; + } + + // gesuchte index gefunden + if (now != null && now.index == index) { + now.value = value; + System.out.println("at index " + index + " set value " + value); + // knoten den wir erstellen wollten existiert nicht, deshlab new node + } else if (now.next == null || now.next.index > index) { + now.next = new Node(index, value, now.next); + System.out.println("at index " + index + " set value " + value); + + } + + } + + /** + * return the Wert value of that index input das Index, und return den + * entsprechenden Wert des Index + * + * @author Paul + * @param index Stelle, an der der Wert steht + * @return double Wert des Elements + */ + public double getElement(int index) { + + if (index < 0 || index >= this.length) { // für Testfall wenn Länge < index + throw new IndexOutOfBoundsException("Index " + index + " ist außerhalb der Vektorlänge " + this.length + + ". Max. Index ist " + (this.length - 1)); + } + + Node now = this.firstNode; + + while (now != null) { + if (now.index == index) { + return now.value; + } + now = now.next; + } + + return 0.0; + } + + /** + * entfernt Element nach Index + * + * @author Leonhard + * @param index Stelle des zu entferneden Elements + */ + public void removeElement(int index) { + // Anlegen der jetzigen und vorherigen Node + Node now = this.firstNode; + Node pre = null; + + // Wenn der momentane Node nicht Null ist und der gesuchte Index korrekt ist + // ersetze den momentanen Node durch den nächsten + if (now != null && now.index == index) { + this.firstNode = now.next; + return; + } + + // Während wir momentan nicht bei Null sind und den Index nicht gefunden haben + // setzte pre und now den nächsten Node weiter + while (now != null && now.index != index) { + pre = now; + now = now.next; + } + + // Wenn wir den Index gefunden haben und nicht bei Null sind + // setze den nächsten Node auf den momentanen Node + if (now != null && now.index == index) { + pre.next = now.next; + System.out.println("Node mit Wert: " + now.value + " am Index " + index + " gefunden und gelöscht."); + } else { + System.out.println("Keine Node am Index: " + index + " nicht gefunden!"); + } + } + + /** + * Gibt die Länge des Vektors aus + * + * @author Leonhard + * @return int Vektor Länge + */ + public int getLength() { + return RBTree.this.length; + } + + /** + * testen, ob other = this (nur vergleichen die Nicht-Null Elemente) + * + * @author YC Terry + * @param other Anderer Vektor, mit dem verglichen wird + * @return boolean Wahrheitswert, ob Vektoren gleich sind + */ + public boolean equals(RBTree other) { + + if (this.getLength() != other.getLength()) { + + return false; + + } + + Node thisnow = this.firstNode; + Node othernow = other.firstNode; + + while (thisnow != null || othernow != null) { + + if (thisnow != null && othernow != null) { + if (!(thisnow.index == othernow.index && thisnow.value == othernow.value)) { + return false; + } + + thisnow = thisnow.next; + othernow = othernow.next; + + // wenn die Anzahl der Positionen mit Nicht-Null-Elementen nicht übereinstimmen + // = nicht identisch + } else if ((thisnow != null && othernow == null) || (othernow != null && thisnow == null)) { + + return false; + } + + } + return true; + } + + /** + * to add two vectors together and renew (overwrite) the this.vector + * + * @author YC Terry + * @param other Anderer Vektor, der auf addiert wird + */ + public void add(RBTree other) { + + Node thisnow = this.firstNode; + Node othernow = other.firstNode; + Node thispre = null; + + // Fall 0: 2 Vektoren mit unterschiedlichen Längen geht nicht! + if (this.getLength() != other.getLength()) { + + System.out.println("Vektoren mit unterschiedlichen Längen können nicht zusammen addiert werden!!"); + System.out.println( + "Länge des controlVector: " + this.getLength() + " aber die von otherVector: " + other.getLength()); + return; + + } + + while (thisnow != null && othernow != null) { + + // Fall 1, gleicher Index, dann nur Werte zusammen addieren → update this Vektor + if (thisnow.index == othernow.index) { + thisnow.value += othernow.value; // overwrite the this. value + thispre = thisnow; + thisnow = thisnow.next; + othernow = othernow.next; + } + + // Fall 2: Der Index von othernow ist kleiner, füge diesen Knoten in this ein + else if (othernow.index < thisnow.index) { + + Node newNode = new Node(othernow.index, othernow.value, thisnow); + + if (thispre == null) { + this.firstNode = newNode; + } else { + thispre.next = newNode; + } + + // this Vektor Zeiger und other Vektor Zeiger gehen weiter voran + othernow = othernow.next; + thispre = newNode; + + // Fall 3: Der Index von othernow > thisnow, 2 Zeiger gehen weiter + } else if (othernow.index > thisnow.index) { + + thispre = thisnow; + thisnow = thisnow.next; + + } + + } + + } +} \ No newline at end of file diff --git a/Uebung08/blatt08.pdf b/Uebung08/blatt08.pdf 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