From e24deec4b44deb016705e08209ad2f36b78011df Mon Sep 17 00:00:00 2001 From: Wolfgang Lezius Date: Wed, 10 Dec 2025 17:17:38 +0100 Subject: [PATCH] Technischer Neustart: Verwendung von Zensical statt MkDocs --- .gitignore | 7 + LICENSE | 170 ++++++++++ README.md | 38 +++ docs/grundlagen/img/ascii.png | Bin 0 -> 24814 bytes docs/grundlagen/img/feld.png | Bin 0 -> 11444 bytes docs/grundlagen/img/feld2d.png | Bin 0 -> 14759 bytes docs/grundlagen/img/hanoi.jpg | Bin 0 -> 126132 bytes docs/grundlagen/img/string.png | Bin 0 -> 43809 bytes docs/grundlagen/img/vigenere.png | Bin 0 -> 167274 bytes docs/grundlagen/index.md | 8 + docs/grundlagen/javagrundlagen.md | 501 +++++++++++++++++++++++++++++ docs/grundlagen/kryptologie.md | 274 ++++++++++++++++ docs/grundlagen/rekursion.md | 160 +++++++++ docs/grundlagen/suchensortieren.md | 170 ++++++++++ docs/img/cc.png | Bin 0 -> 5083 bytes docs/index.md | 41 +++ docs/zentralabitur/baum.md | 232 +++++++++++++ docs/zentralabitur/compilerbau.md | 60 ++++ docs/zentralabitur/datenbanken.md | 33 ++ docs/zentralabitur/graph.md | 268 +++++++++++++++ docs/zentralabitur/img/automat.png | Bin 0 -> 33834 bytes docs/zentralabitur/img/baum1.png | Bin 0 -> 24366 bytes docs/zentralabitur/img/baum2.gif | Bin 0 -> 10591 bytes docs/zentralabitur/img/graph.png | Bin 0 -> 22308 bytes docs/zentralabitur/index.md | 10 + docs/zentralabitur/linear.md | 306 ++++++++++++++++++ docs/zentralabitur/netzwerke.md | 165 ++++++++++ zensical.toml | 321 ++++++++++++++++++ 28 files changed, 2764 insertions(+) create mode 100644 .gitignore create mode 100644 LICENSE create mode 100644 README.md create mode 100644 docs/grundlagen/img/ascii.png create mode 100644 docs/grundlagen/img/feld.png create mode 100644 docs/grundlagen/img/feld2d.png create mode 100644 docs/grundlagen/img/hanoi.jpg create mode 100644 docs/grundlagen/img/string.png create mode 100644 docs/grundlagen/img/vigenere.png create mode 100644 docs/grundlagen/index.md create mode 100644 docs/grundlagen/javagrundlagen.md create mode 100644 docs/grundlagen/kryptologie.md create mode 100644 docs/grundlagen/rekursion.md create mode 100644 docs/grundlagen/suchensortieren.md create mode 100644 docs/img/cc.png create mode 100644 docs/index.md create mode 100644 docs/zentralabitur/baum.md create mode 100644 docs/zentralabitur/compilerbau.md create mode 100644 docs/zentralabitur/datenbanken.md create mode 100644 docs/zentralabitur/graph.md create mode 100644 docs/zentralabitur/img/automat.png create mode 100644 docs/zentralabitur/img/baum1.png create mode 100644 docs/zentralabitur/img/baum2.gif create mode 100644 docs/zentralabitur/img/graph.png create mode 100644 docs/zentralabitur/index.md create mode 100644 docs/zentralabitur/linear.md create mode 100644 docs/zentralabitur/netzwerke.md create mode 100644 zensical.toml diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..b00ed1b --- /dev/null +++ b/.gitignore @@ -0,0 +1,7 @@ +# Makefile +Makefile +docs/Makefile + +# site/ +site/ +docs/site/ \ No newline at end of file diff --git a/LICENSE b/LICENSE new file mode 100644 index 0000000..835a683 --- /dev/null +++ b/LICENSE @@ -0,0 +1,170 @@ +Creative Commons Attribution-ShareAlike 4.0 International + + Creative Commons Corporation (“Creative Commons”) is not a law firm and does not provide legal services or legal advice. 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For the avoidance of doubt, this paragraph does not form part of the public licenses. + +Creative Commons may be contacted at creativecommons.org. diff --git a/README.md b/README.md new file mode 100644 index 0000000..e64cfdb --- /dev/null +++ b/README.md @@ -0,0 +1,38 @@ +# JAVAkompakt + +Das vorliegende Projekt stellt den Quellcode der Webseite [JAVAkompakt](https://java.lehrerlezius.de) zur Verfügung. + + + +### Voraussetzungen + +Die Webseite JAVAkompakt wurde mithilfe des auf [Python](https://www.python.org) basierenden Dokumentationstools [Zensical](https://zensical.org) erstellt. + +Als Python-Projekt ist Zensical plattformunabhängig. Neben Python ist die Installation von Zensical Voraussetzung (vgl. auch [Zensical - Get Started](https://zensical.org/docs/get-started/)). + +``` +pip install zensical +``` + + +### Erzeugen der Website + +Der eigentliche Quellcode (d.h. die JavaKompakt Dokumentation) ist im Unterverzeichnis ``docs/`` zu finden. + +Ein Live-Preview kann gestartet werden mit: + +``` +zensical serve +``` + +Um im Unterverzeichnis ``site/`` die komplette statische Website zu erzeugen nutzen Sie: + +``` +zensical build +``` + + +### Lizenz + +Der Quellcode wie auch die Webseite stehen unter der [CC-BA-SA-4.0](LICENSE) Lizenz. + diff --git a/docs/grundlagen/img/ascii.png b/docs/grundlagen/img/ascii.png new file mode 100644 index 0000000000000000000000000000000000000000..ab2ec0b10bc4e113f77e20f8bfadbe6136cb3d46 GIT binary patch literal 24814 zcmZ^JbyQo;);BdMP@q6@_u^KdxD*eR7I$}-1Sdf8V#OUwvEoi}iaQk7;1-;qfdC)R zz4w*%uJt8vcGgA@Y=1qDk%URw3(*B=Gt`RmuHPb0Zk+@DZT 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HcmV?d00001 diff --git a/docs/grundlagen/index.md b/docs/grundlagen/index.md new file mode 100644 index 0000000..67a0785 --- /dev/null +++ b/docs/grundlagen/index.md @@ -0,0 +1,8 @@ +# I. Grundlagen + +Der vorliegende Bereich fasst alle Themen zusammen, die grundlegend für die Arbeit mit den Zentralabiturklassen in der Qualifikationsphase sind. + +- [Java Grundlagen](javagrundlagen.md) +- [Suchen und Sortieren](suchensortieren.md) +- [Kryptologie](kryptologie.md) +- [Rekursion](rekursion.md) diff --git a/docs/grundlagen/javagrundlagen.md b/docs/grundlagen/javagrundlagen.md new file mode 100644 index 0000000..19e26c6 --- /dev/null +++ b/docs/grundlagen/javagrundlagen.md @@ -0,0 +1,501 @@ +# 1. Java-Grundlagen + +Das vorliegende Kapitel fast wesentliche Java Grundlagen zusammen, die im Laufe der Einführungsphase behandelt werden. Einige ausgewählte Themen wie Zeichenketten oder Felder werden im Rahmen der beiden Kapitel [Suchen und Sortieren](suchensortieren.md) sowie [Kryptologie](kryptologie.md) vertiefend aufgegriffen. + + + +## Kontrollstrukturen + +Kontrollstrukturen beeinflussen des Verlauf eines Programms. Die nachfolgenden Beispiele sind an das Greenfoot-Szenario "Mars-Rover" angelehnt, können aber auch ohne Kenntnis des Szenarios nachvollzogen werden. + + +### Bedingte Anweisung + +Die bedingte Anweisung überprüft den Wahrheitswert einer Bedingung. Ist die Bedingung erfüllt, so wird der erste Anweisungsbock ausgeführt, ansonsten der zweite mit *else* gekennzeichnete Anweisungsblock. + +#### Zweiseitige Auswahl + +Werden beide Fälle aufgeführt, so sprechen wir von *zweiseitiger Auswahl*. + +```java +if (huegelVorhanden("vorne")) { + drehe("rechts"); +} +else { + fahre(); +} +``` + +#### Einseitige Auswahl + +Verzichten wir auf den *else*-Fall, so sprechen wir von *einseitiger Auswahl*. + +```java +if (huegelVorhanden("vorne")) { + drehe("rechts"); + fahre(); +} +``` + +#### Mehrseitige Auswahl + +Gibt es mehr als zwei gleichwertige Alternativen, so kommt entsprechend die *mehrseitige Auswahl* zur Anwendung. + +```java +if (huegelVorhanden("vorne")) { + drehe("rechts"); +} +else if (huegelVorhanden("rechts")) { + drehe("links"); +} +else { + fahre(); +} +``` + +#### switch-Anweisung + +Kann der weitere Verlauf vom Wert eines primitiven Datentyps oder vom Wert einer Zeichenkette abhängig gemacht werden, so steht als übersichtliche Alternative zur Mehrfachauswahl auch die switch-Anweisung bereit. + +Die *break*-Anweisungen sorgen dafür, dass der Programmablauf nach der Abarbeitung eines Falls nach der *switch*-Anweisung fortgesetzt wird. Der optionale *default*-Fall tritt ein, wenn keiner der vorherigen *case*-Fälle zutrifft. + +```java +switch (anzahlMeinerSchritte) { + case 0: { fahre(); + break; + } + case 1: { drehe("links"); + break; + } + default: { drehe("rechts"); + break; + } +} +``` + + +### Schleifen + +Zur wiederholten Ausführung einer oder mehrerer Anweisungen werden Schleifen verwendet. + +#### while-Schleife + +Die while-Schleife wiederholt eine oder mehrere Anweisungen so lange, bis eine gegebene Bedingung nicht mehr erfüllt ist. Da die Bedingung vor dem Anweisungsblock überprüft wird ("vorprüfende Schleife"), ist es möglich, dass der Anweisungsblock gar nicht ausgeführt wird. + +```java +while (!huegelVorhanden("vorne")) { + fahre(); +} +``` + +#### do-while-Schleife + +Die do-while-Schleife wiederholt eine oder mehrere Anweisungen so lange, bis eine gegebene Bedingung nicht mehr erfüllt ist. Da die Bedingung hier erst nach dem Anweisungsblock überprüft wird ("nachprüfende Schleife"), wird der Anweisungsblock mindestens einmal ausgeführt. + +```java +do { + setzeMarke(); + fahre(); +} +while (!huegelVorhanden("vorne")); +``` + +#### Zählschleife + +In der Zählschleife wird eine Zählvariable mit einem Anfangswert belegt. Der zugehörige Anweisungsblock wird solange ausgeführt wie eine Schleifenbedingung erfüllt ist. In der Regel wird diese Bedingung von der Zählvariable selbst abhängen. Zusätzlich wird durch die dritte Komponente des Schleifenkopfes die Zählvariable nach jedem Durchlauf verändert, d.h. meist um eins erhöht oder erniedrigt. + +Das folgende Beispiel sorgt dafür, dass die *fahre()*-Anweisung genau vier Mal ausgeführt wird: + +```java +for (int i=0; i<4; i++) { + fahre(); +} +``` + + + +## Primitive Datentypen + +Im Unterricht verwenden wir die primitiven Datentypen *int*, *double*, *char* und *boolean*, die wir vereinfachend als ganze Zahlen, Kommazahlen, Buchstaben und Wahrheitswerte beschreiben. + +Datentyp | Wertebereich | Beispiele +--- | --- | --- +int | -2147483648 bis + 2147483647 | -1, 1 +double | 4.9E-324 bis 1.8E308 | -3.14, 0, 6.28 +char | alle Zeichen | 'A', 'Z' +boolean | true, false | true, false + + +### Deklaration und Initialisierung + +Soll eine Variable eines primitiven Datentyps verwendet werden, so ist sie zunächst zu *deklarieren*, anschließend zu *initialisieren*, d.h. mit einem Anfangswert zu belegen. + +```java +int zahl; // Deklaration +zahl = 0; // Initialisierung +``` + +Die beiden Schritte können auch kompakt zu einem zusammengefasst werden. + +```java +int zahl = 0; // Deklaration + Initialisierung +``` + + +### Vergleichsoperatoren + +Variablen des gleichen primitiven Datentyps lassen sich mit den Operatoren <, >, <=, >=, == und != vergleichen. Man beachte den Vergleichsoperator ==, der zur besseren Abgrenzung gegenüber dem Zuweisungssymbol = mit zwei Gleichheitszeichen geschrieben wird. + +```java +int zahl1 = 1; +int zahl2 = 11; + +if (zahl1 < zahl2) { + zahl1 = zahl1 + 10; +} +if (zahl1 == zahl2) { + zahl1 = zahl1 + 100; +} +``` + + +### Konvertieren von Datentypen + +Primitive Datentypen können ineinander konvertiert werden. In den meisten Fällen erfolgt die Konvertierung recht intuitiv - so wird eine double-Zahl in eine int-Zahl einfach durch Abschneiden der Nachkommastellen verwandelt. Die Verwandlung selbst wird durch den sogenannten *type cast*-Operator angezeigt, der den gewünschten Datentypen in Klammern vor die zu konvertierende Variable setzt: + +```java +double zahl = 1.47484; +int zahl2 = (int) zahl; +``` + +Interessant ist die Verwandlung von Buchstaben (char) in ganze Zahlen (int) und umgekehrt. Dieser Transfer richtet sich nach der Nummerierung aller bekannten Zeichen gemäß der genormten ASCII-Tabelle (vgl. [Wikipedia-Artikel](https://de.wikipedia.org/wiki/American_Standard_Code_for_Information_Interchange)). Er weist beispielsweise dem Großbuchstaben A eine 65, B eine 66 usw. zu (Bildausschnitt aus [WikiPedia](https://commons.wikimedia.org/wiki/File:Ascii-codes-table.png)). + +![](img/ascii.png) + +Diese Festlegung kann geschickt für Veränderungen von Buchstaben genutzt werden. Das folgende Beispiel etwa verschiebt den gegebenen Buchstaben H um vier Stellen im Alphabet. + +```java +char c = 'H'; +int zahl = (int) c; +zahl = zahl + 4; +c = (char) zahl; +``` + + + +## Klassen und Objekte + + +### Java-Klassengerüst + +Klassen werden in Java mit dem Schlüsselwort *class* eingeleitet. Bei der Modellierung einer Klasse wird festgehalten, welche Attribute (Eigenschaften) und Methoden (Anfragen oder Aufträge) für die Klasse sinnvoll sind. + +Im folgenden Beispiel wird für eine Klasse *Schueler* festgelegt, dass die Attribute Alter und Name verwendet werden. Beide bekommen durch den Konstruktor - eine besondere Methode mit dem gleichen Namen wie die Klasse - bei der Erzeugung eines Objekts der Klasse bereits saubere Anfangswerte. Zudem sind beide Attribute durch die beiden set-Methoden jederzeit veränderbar und die beiden get-Methoden jederzeit abfragbar. + +```java +public class Schueler { + + private String name; + private int alter; + + public Schueler(String name, int alter) { + this.name = name; + this.alter = alter; + } + + public void setName(String name) { + this.name = name; + } + + public String getName() { + return name; + } + + public void setAlter(int alter) { + this.alter = alter; + } + + public int getAlter() { + return alter; + } + +} +``` + + +### Erzeugen von Objekten + +Die Syntax zum Erzeugen eines Objekts sieht die Verwendung des Schlüsselworts *new* vor. Greifen wir das obige Beispiel der Klasse *Schueler* wieder auf, so müssen bei der Erzeugung eines Objekts der Klasse *Schueler* bereits Werte für die beiden Attribute übergeben werden. + +```java +Schueler s = new Schueler("Otto", 15); // Objekt erzeugen + +String z = s.getName(); // Namen abfragen + +int a = s.getAlter(); // Alter abfragen +s.setAlter(a+1); // und neu besetzen +``` + + +### Vererbung + +Bei der Vererbung stehen der Unterklasse alle Attribute und Methoden der Oberklasse zur Verfügung. Auch der geerbte Konstruktor kann dabei zur Verwendung kommen. + +Im folgenden Beispiel wird einem Oberstufenschüler gegenüber einem Schüler zusätzlich das Attribut *Tutor* zugeordnet. Dieses Attribut kann hier zwar abgefragt, aber nach der Erzeugung nicht mehr verändert werden. + +Zusätzlich demonstriert diese Klasse mit der Methode *setName()*, wie eine Methode überschrieben werden kann, ohne die bestehende vererbte Methoden komplett neu gestalten zu müssen. Auch die Methode *erhoeheAlter()* ist geschickt gelöst, da das Alter erhöht wird, ohne direkt auf das Attribut *alter* zugreifen zu müssen. (*Bemerkung:* Eine Unterklasse kann nur dann direkt auf ein Attribut einer Oberklasse zugreifen, wenn die Sichtbarkeit des Attributs statt *private* auf *protected* gesetzt ist.) + +```java +public class Oberstufenschueler extends Schueler { + + private String tutor; + + public Oberstufenschueler(String name, int alter, String tutor) { + super(name, alter); + } + + public String getTutor() { + return tutor; + } + + public void setName(String name) { + if (name.length()==0) { + super.setName("unbekannt"); + } + else { + super.setName(name); + } + } + + public void erhoeheAlter() { + int alter = getAlter(); + alter++; + setAlter(alter); + } + +} +``` + + + +## Zeichenketten + +![](img/string.png) + +Zeichenketten sind eine Aneinanderreihung von Zeichen, deren Anzahl beliebig ist. Eine Zeichenkette kann jederzeit verändert werden. In Java wird eine Zeichenkette durch ein Objekt der Klasse *String* repräsentiert. + + +### Durchlaufen einer Zeichenkette + +Um eine Zeichenkette mit einer Zählschleife zu durchlaufen, wird zunächst die Länge der Zeichenkette mit der Methode *length()* abgefragt. Die Zählschleife durchläuft nun die Positionen *0, 1, 2, ..., Länge-1* der Zeichenkette und greift per *charAt()* auf den i-ten Buchstaben zu. Die Nummerierung mit 0 beginnend ist anfangs ungewohnt, sie wird aber in Java konsequent auch in anderen Bereichen (z.B. bei Feldern) durchgeführt. + +```java +String eingabe = "TEST"; + +for (int i=0; i90) { zahl = zahl - 26; } + + char zeichen = (char) zahl; + ergebnis = ergebnis + zeichen; +} +``` + + + +## Felder + +![](img/feld.png) + +In einem Feld kann eine *beliebige, aber feste* Anzahl gleichartiger Elemente verwaltet werden. Die Anzahl der Elemente wird dabei beim Erzeugen des Felds festgelegt und kann anschließend nicht mehr verändert werden. + +Ungewohnt ist die Nummerierung der Elemente bei 0 beginnend und bei der Feldlänge-1 endend. Diese Form der Nummerierung findet in Java aber auch bei Zeichenketten konsequent Anwendung. + +Wir werden im Folgenden das Verwalten primitiver Datentypen (vgl. Zahlen im obigen Beispiel) in einem Feld betrachten. Das Speichern gleichartiger Objekte in einem Feld wird im Abschnitt [Felder](../zentralabitur/linear.md#feld) im Kapitel [Lineare Datenstrukturen](../zentralabitur/linear.md) behandelt. + + +### Erzeugen eines Felds + +Das folgende Beispiel zeigt zu Beginn die Syntax der Erzeugung eines Felds. Im Beispiel wird ein Feld der Länge 100 über int-Zahlen zunächst deklariert und anschließend initialisiert. Das Feld selbst ist aber zu diesem Zeitpunkt noch leer. + +```java +int[] meinfeld; // Deklaration +meinfeld = new int[100]; // Initialisierung +``` + +Als abkürzende Schreibweise können Deklaration und Initialisierung wieder zusammengefasst werden. + +```java +int[] meinfeld = new int[100]; // Deklaration + Initialisierung +``` + +Folgt die geplante Besetzung des Felds einer festen Systematik, hilft eine Schleife bei der Besetzung der einzelnen Feldelemente. Im folgenden Beispiel werden die natürlichen Zahlen 1, 2, 3 usw. in das Feld eingewiesen. + +```java +// Erzeuge Feld +int[] feld = new int[10]; + +// Besetze mit 1,2,3,... +for (int i=0; i90) { zahl = zahl - 26; } + if (zahl<65) { zahl = zahl + 26; } + + char zeichen = (char) zahl; + ergebnis = ergebnis + zeichen; + } + + return ergebnis; + +} + +public String entschluessele(String zeichenkette, int schluessel) { + return verschluessele(zeichenkette, -schluessel); +} +``` + + + +## Monoalphabetische Substitution + +Da die Verschiebung des Alphabets durch die Caesar-Verschlüsselung zu wenig Sicherheit bietet, ordnet die monoalphabetische Substitution jedem Buchstaben des Alphabets zufällig einen anderen Buchstaben des Alphabets zu. Es ergeben sich 26! mögliche Schlüssel. + + +### Einfache Umsetzung + +Auch hier ist zunächst wieder eine Zuordnung der Buchstaben in einer switch-Anweisung denkbar: + +```java +public String verschluessele(String klartext) { + + String ergebnis = ""; + + for (int i=0; i= schluesselwort.length()) { + schluessel_pos = 0; + } + } + + return ergebnis; +} +``` diff --git a/docs/grundlagen/rekursion.md b/docs/grundlagen/rekursion.md new file mode 100644 index 0000000..8672c3a --- /dev/null +++ b/docs/grundlagen/rekursion.md @@ -0,0 +1,160 @@ +# 4. Rekursion + +Bei der Rekursion handelt es sich um eine Programmiertechnik, die ein Problem auf ein oder mehrere kleinere Probleme zurückführt. In einer Programmiersprache wie Java umgesetzt äußert sich die Rekursion in einer Java-Methode, die sich selbst aufruft. + + + +## Türme von Hanoi + +Die Türme von Hanoi sind ein klassisches Beispiel für einen rekursiven Algorithmus. Bei diesem Spiel müssen mehrere verschieden große Scheiben von einem Quellstapel auf einen Zielstapel gebracht werden. Dabei darf aber immer nur eine Scheibe bewegt werden, zudem darf immer nur eine kleinere Scheibe auf einer größeren Scheibe liegen. Das folgende Bild illustriert das Spiel (Quelle [Wikipedia](https://commons.wikimedia.org/wiki/File:Tower_of_Hanoi.jpeg)): + +![](img/hanoi.jpg) + +Eine rekursive Herangehensweise beschreibt die Lösung des Problems folgendermaßen: Wenn du *n* Scheiben vom Quell- auf den Zielstapel bringen willst, dann verschiebe zunächst *n-1* Scheiben auf den Hilfsstapel, dann *1* Scheibe (die unterste) auf den Zielstapel und zum Schluss *n-1* Scheiben vom Hilfs- auf den Zielstapel. + +Der folgende Java-Algorithmus setzt voraus, dass die drei Stapel mit 1, 2, 3 durchnummeriert sind. Zu Beginn wird die Methode also beispielsweise zur Lösung des 5-Scheiben-Problems mit den Parametern 5, 1, 3, 2 aufgerufen. Die Scheibenbewegungen werden durch Bildschirmausdrucke dargestellt. + +```java +public class Hanoi { + + public void TvH(int n, int start, int ziel, int hilf) { + + if (n==1) { + System.out.println(start+" -> "+ziel); + } + else { + TvH(n-1, start, hilf, ziel); + TvH( 1, start, ziel, hilf); + TvH(n-1, hilf, ziel, start); + } + } + +} +``` + +Für das 5-Scheiben-Problem ergibt sich demnach folgende Ausgabe: + +``` +1 -> 3 +1 -> 2 +3 -> 2 +1 -> 3 +2 -> 1 +2 -> 3 +1 -> 3 +1 -> 2 +3 -> 2 +3 -> 1 +2 -> 1 +3 -> 2 +1 -> 3 +1 -> 2 +3 -> 2 +1 -> 3 +2 -> 1 +2 -> 3 +1 -> 3 +2 -> 1 +3 -> 2 +3 -> 1 +2 -> 1 +2 -> 3 +1 -> 3 +1 -> 2 +3 -> 2 +1 -> 3 +2 -> 1 +2 -> 3 +1 -> 3 +``` + + + +## Rekursive Algorithmen + +An dieser Stelle werden exemplarisch zwei bekannte rekursive Algorithmen vorgestellt. + + +### Binäre Suche + +Als erstes Beispiel wird die binäre Suche auf einem Feld besprochen. Gegenüber der iterativen Lösung wird der Suchraum hier durch den rekursiven Aufruf verkleinert. Zu Beginn wird der Suchvorgang auf dem kompletten Feld in Gang gebracht. Je nach Fall verengt sich der Suchraum in jeder Rekursionsebene, bis entweder das gewünschte Element gefunden wurde oder der Suchraum leer ist (Fall *l>r*). + +```java +public int starteBinaereSucheRekursiv(int[] array, int key) { + + int n = array.length; + + return sucheBinaer(array, key, 0, n-1); +} + +/* Fuehrt die eigentliche binaere Suche durch. */ +private int sucheBinaer(int[] array, int key, int l, int r) { + + // Abbruchbedingung fuer erfolglose Suche: l>r + if (l>r) { return -1; } + + // Bestimme die Mitte des Feldabschnitts + int m = (l+r) / 2; + + // Unterscheide die drei F?lle + + // 1. Fall: GEFUNDEN + if (array[m] == key) { + return m; + } + + // 2. Fall: Suche LINKS weiter + else if (key < array[m]) { + return sucheBinaer(array, key, l, m-1); + } + + // 3. Fall: Suche RECHTS weiter + else { + return sucheBinaer(array, key, m+1, r); + } + +} +``` + +### QuickSort + +Das Sortierverfahren QuickSort basiert auf einer simplen Idee, die rekursiv elegant umgesetzt werden kann: Bestimme im aktuellen Teilfeld ein vermutlich mittelgroßes Element (*Pivot*-Element) und ordne nun links vom Pivot alle kleineren und rechts vom Pivot alle größeren Elemente an. Sortiere den linken und rechten Bereich anschließend durch zwei Rekursionsaufrufe. + +```java +public void doQuickSort(int[] feld) { + + quickSort(feld,0,feld.length-1); + +} + +private void quickSort(int[] feld, int l, int r) { + + if (l>=r) { return; } + + int i, j, m; + int pivot, hilf; + + // Bestimme Pivotelement + i = l; + j = r; + m = (l+r)/2; + pivot = feld[m]; + + // Teile in zwei Teilfelder + while (i<=j) { + while (feld[i]pivot) { j--; } + if (i<=j) { // Tausche Feldinhalte + hilf = feld[i]; + feld[i] = feld[j]; + feld[j] = hilf; + i++; + j--; + } + } + + quickSort(feld,i,r); + quickSort(feld,l,j); + +} +``` diff --git a/docs/grundlagen/suchensortieren.md b/docs/grundlagen/suchensortieren.md new file mode 100644 index 0000000..17e1494 --- /dev/null +++ b/docs/grundlagen/suchensortieren.md @@ -0,0 +1,170 @@ +# 2. Suchen und Sortieren + +Die Operationen Suchen und Sortieren stellen zwei der zentralen Operationen der Informatik dar. Sie werden hier exemplarisch auf der Datenstruktur Feld besprochen, spielen aber auch bei den Datenstrukturen [Liste](../zentralabitur/linear.md#liste) und [Suchbaum](../zentralabitur/baum.md#suchbaum) eine zentrale Rolle. + +Zur weiteren Vereinfachung werden Felder über dem primitiven Datentyp *int* betrachtet. [Felder über Objekten](../zentralabitur/linear.md#feld) werden im Rahmen der linearen Datenstrukturen besprochen. + + + +## Suchen + + +### Lineare Suche + +Bei der linearen Suche wird das Feld von vorn nach hinten sequentiell solange durchsucht, bis das gewünschte Element gefunden wird (*erfolgreiche Suche*) oder das Feld erfolglos vollständig abgesucht wurde (*erfolglose Suche*). Es ist leicht einzusehen, dass die lineare Suche lineare Laufzeit besitzt. + +Als Konvention gibt die Methode hier nicht nur die Erfolgsmeldung aus (*true/false*), sondern die Position des gefunden Elements bzw. *-1* im Falle der erfolglosen Suche. + +```java +public int starteLineareSuche(int[] array, int key) { + + for (int i=0; ir*), so wird die Suche erfolglos abgebrochen. + +Durch die Intervallhalbierung ist eine logarithmische Laufzeit bedingt, die viel besser als eine lineare Laufzeit einzustufen ist. Allerdings darf nicht vergessen werden, dass der zusätzliche Aufwand der Sortierung ebenfalls Laufzeit kostet. + +```java +public int starteBinaereSuche(int[] array, int key) { + + // Lege die Bereichsgrenzen fest + int n = array.length; + int m; + + int l = 0; + int r = n-1; + + while (l<=r) { + + // Bestimme Mitte + m = (l+r) / 2; + + // Unterscheide drei Fälle + + // 1. Fall: GEFUNDEN + if (array[m] == key) { + return m; + } + + // 2. Fall: Suche LINKS weiter + else if (key < array[m]) { + r = m-1; + } + + // 3. Fall: Suche RECHTS weiter + else { + l = m+1; + } + + } + + return -1; + +} +``` + + + +## Sortieren + + +### BubbleSort + +Das vermutlich bekannteste Sortierverfahren ist *BubbleSort*. Hier wird in einem Felddurchlauf für je zwei Nachbarelemente geschaut, ob sie sich in der richtigen Reihenfolge befinden. Wenn nicht, so werden sie getauscht (*paarweises Tauschen*). Auf diese Weise rutscht das größte Element im ersten Durchlauf an die letzte Position, das zweitgrößte Element im zweiten Durchlauf an die vorletzte Position usw. Es ergibt sich insgesamt eine quadratische Laufzeit. + +```java +public void doBubbleSort(int[] feld) { + + int hilfe; + + for (int i=feld.length-1; i>=1; i--) { + + for (int j=0; j<=i-1; j++) { + + if (feld[j] > feld[j+1]) { + hilfe = feld[j]; + feld[j] = feld[j+1]; + feld[j+1] = hilfe; + } + + } + + } + +} +``` + + +### Straight Selection + +Beim *Sortieren durch Auswahl* bzw. *Straight Selection* wird im ersten Durchlauf das kleinste Element an die 0-te Stelle des Felds, im zweiten Durchlauf das zweitkleinste Element an die 1-te Stelle des Felds usw. gebracht. Bei der Suche nach dem verbleibenden kleinsten Element wird das Restfeld von vorn nach hinten durchlaufen. Es ergibt sich wieder eine quadratische Laufzeit. + +```java +public void doStraightSelection(int[] feld) { + + int hilfe; + + for (int i=0; i=j+1; k--) { + feld[k] = feld[k-1]; + } + + feld[j] = hilfe; + + } + +} +``` + + +### Schnelle Sortierverfahren + +Es gibt weitere Sortierverfahren, die mit *n log n* eine Laufzeit aufweisen, die der quadratischen überlegen ist. 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An diesem Punkt setzt die vorliegende Website an. Sie stellt die aus Java-Sicht wesentlichen Inhalte des Oberstufenunterrichts Informatik in NRW (GK und LK) zusammen, indem sie ausgewählte Codebeispiele sammelt und erläutert. + +Grundlage für alle Inhalte und Codebeispiele ist der [Kernlehrplan Informatik (2013)](https://lehrplannavigator.nrw.de/sekundarstufe-ii/kernlehrplaene-fuer-die-gymnasiale-oberstufe-2013/informatik-gymnasiale-oberstufe). Der vorliegende Stand berücksichtigt die [Vorgaben für die Abiturjahrgänge 2026, 2027 und 2028](https://www.standardsicherung.schulministerium.nrw.de/cms/zentralabitur-gost/faecher/fach.php?fach=15). Themen, die lediglich im LK behandelt werden, sind entsprechend gekennzeichnet. + + +## Aufbau + +Die vorliegende Website gliedert sich in zwei Teile: + +1. Im ersten Teil werden [Grundlagen](grundlagen/index.md) erläutert, die vor allem in der Einführungsphase behandelt werden. + +2. Der zweite Teil bespricht [Inhalte des Zentralabiturs](zentralabitur/index.md), die in der Regel ausschließlich in der Qualifikationsphase behandelt werden. + + +## Quellcode + +Der Quellcode dieser Website ist auf der folgenden Seite abrufbar: + +[https://git.lehrerlezius.de/lezius/JAVAkompakt.git](https://git.lehrerlezius.de/lezius/JAVAkompakt.git) + + +## Lizenz + +![cc.png](img/cc.png) + +Die vorliegenden Unterrichtsmaterialien (Website und Quellcode) stehen unter einer [Creative Commons Namensnennung-Weitergabe unter gleichen Bedingungen 4.0 Unported](http://creativecommons.org/licenses/by-sa/4.0) Lizenz. + + +## Autor + +[Wolfgang Lezius, Kopernikus-Gymnasium Neubeckum](https://www.wolfganglezius.de) + diff --git a/docs/zentralabitur/baum.md b/docs/zentralabitur/baum.md new file mode 100644 index 0000000..5f88d10 --- /dev/null +++ b/docs/zentralabitur/baum.md @@ -0,0 +1,232 @@ +# 2. Baumstrukturen + +Bäume gehören zu den wichtigsten Datenstrukturen der Informatik. Sie finden Anwendung in vielen Bereichen, z.B. als Suchbäume zum schnellen Finden von Elementen in geordneten Mengen. + + + +## Binärbaum + +Der Binärbaum wird in der Regel als rekursive Datenstruktur betrachtet: Ein Binärbaum besteht demnach aus einem Element (genauer einem Objekt einer zuvor festgelegten Klasse), einem linken und einem rechten Teilbaum. Eine Ordnung ist für einen Binärbaum nicht erforderlich. + + +### Einen Binärbaum aufbauen + +Für ein erstes Beispiel soll der folgende Baum aufgebaut werden: + +![](img/baum2.gif) + +Zur Vereinfachung wird als Grundklasse für den Baum die Klasse *String* definiert, d.h. die Elemente des Beispielsbaums werden als Zeichenketten gespeichert. Sicherlich wäre eine Modellierung als Zahl naheliegend, doch dann wäre der Einsatz der Wrapper-Klasse Integer (vgl. Abschnitt [Objekte als Datenspeicher](linear.md#objekte-als-datenspeicher)) oder der Entwurf einer neuen Klasse erforderlich. + +Der folgende Quellcode baut den Baum *bottom-up* (d.h. von unten nach oben) auf. Eine andere Vorgehensweise ist nicht möglich, da beispielsweise der Gesamtbaum (vgl. Element 23) nur dann erzeugbar ist, wenn linker und rechter Teilbaum (vgl. Elemente 17 und 38) bereits existieren. + +```java +BinaryTree k5 = new BinaryTree("5"); +BinaryTree k14 = new BinaryTree("14"); +BinaryTree k13 = new BinaryTree("13",k5,k14); +BinaryTree k19 = new BinaryTree("19"); +BinaryTree k17 = new BinaryTree("17",k13,k19); + +BinaryTree k39 = new BinaryTree("39"); +BinaryTree k40 = new BinaryTree("40",k39,null); +BinaryTree k24 = new BinaryTree("24"); +BinaryTree k38 = new BinaryTree("38",k24,k40); + +tree = new BinaryTree("23",k17,k38); +``` + + +### Einen Binärbaum durchsuchen (Tiefensuche) + +Beim Durchsuchen eines Binärbaums kommt zunächst die Tiefensuche in Betracht. Hier wird der Baum rekursiv durchsucht, wobei dem linken Teilbaum Vorrang vor dem rechten Teilbaum gegeben wird. + +Der Zeitpunkt der Verarbeitung des aktuellen Elements (hier angedeutet durch den Ausdruck auf dem Bildschirm) vor dem ersten Rekursionsaufruf, zwischen den beiden Aufrufen oder nach dem zweiten Rekursionsaufruf beeinflusst zusätzlich die Reihenfolge der Verarbeitung. Die drei Varianten werden als *PreOrder*, *InOrder* bzw. *PostOrder* bezeichnet. + +Die am häufigsten eingesetzte Variante ist der InOrder-Durchlauf, da er die Elemente in ihrer natürlichen Reihenfolge verarbeitet. Im obigen Beispiel, das eine Anordnung von Zahlen im Baum vorsieht, würden die Elemente deshalb auch in aufsteigender Reihenfolge abgearbeitet. + +```java +public void inorder(BinaryTree tree) { + + if (!tree.isEmpty()) { + + inorder(tree.getLeftTree()); + System.out.println(tree.getContent()); // Ausdrucken + inorder(tree.getRightTree()); + + } + +} +``` + + +### Einen Binärbaum durchsuchen (Breitensuche) + +Als Alternative zur Tiefensuche steht die Breitensuche zur Verfügung, die die Elemente ebenenweise abarbeitet. + +![](img/baum2.gif) + +Für den Beispielbaum würde die Reihenfolge der Verarbeitung dann *23, 17-38, 13-19-24-40, 5-14-39* lauten. Um die Ebenen abzubilden, wird eine [Schlange](linear.md#stack-und-queue) als Hilfsdatenstruktur verwendet. + +```java +public void levelorder(BinaryTree tree) { + + Queue> q = new Queue>(); + q.enqueue(tree); + + while (!q.isEmpty()) { + BinaryTree t = q.front(); + q.dequeue(); + + System.out.println(t.getContent()); // Ausdrucken + + if (!t.getLeftTree().isEmpty()) { + q.enqueue(t.getLeftTree()); + } + if (!t.getRightTree().isEmpty()) { + q.enqueue(t.getRightTree()); + } + } + +} +``` + + +### Einen Binärbaum verarbeiten (mit Rückgabewert) + +Zum Abschluss soll hier ein komplexeres Beispiel präsentiert werden. Zur Illustration dient der nachfolgende Baum. Die Aufgabe besteht darin, die Tiefe des Baums (d.h. die Anzahl der benutzten Ebenen, im Beispiel 4) zu berechnen. + +![](img/baum2.gif) + +Die kompakte rekursive Methode hat es durchaus in sich: Ist der aktuelle Teilbaum leer, so ist seine Tiefe 0. Ansonsten ist seine Tiefe um 1 größer als die maximale Tiefe des linken oder des rechten Teilbaums - je nachdem, welcher von beiden die größere Tiefe besitzt. + +```java +public int depth(BinaryTree tree) { + if (tree.isEmpty()) { + return 0; + } + else { + int left = depth(tree.getLeftTree()); + int right = depth(tree.getRightTree()); + + if (left>right) { + return left+1; + } + else { + return right+1; + } + } +} +``` + + + +## Suchbaum + +Der Suchbaum stellt einen guten Kompromiss aus den Datenstrukturen Feld und Liste dar: Er ist dynamisch, erlaubt also jederzeit nachträgliches Einfügen oder Löschen ohne zusätzlichen Speicherbedarf. Er ermöglicht zugleich eine schnelle Suche, da die Idee der binären Suche übertragbar ist, wodurch sich logarithmischer Suchaufwand ergibt. + + +### Eine Klasse zum Suchen vorbereiten + +Voraussetzung für den Aufbau eines Suchbaums ist eine Ordnung der zu verwaltenden Elemente. Für die Klasse *BinarySearchTree* wird die erforderliche Ordnung so realisiert, dass für die Basisklasse der zu speichernden Objekte gefordert wird, dass sie das Interface *ComparableContent* implementiert. In diesem Interface wird mit den drei Methoden *isLess()*, *isGreater()* und *isEqual()* die Vergleichbarkeit der Elemente verankert. + +```java +public interface ComparableContent { + + public boolean isGreater(ContentType pContent); + + public boolean isEqual(ContentType pContent); + + public boolean isLess(ContentType pContent); + +} +``` + +Die folgende Beispielklasse *Entry* speichert für jedes Objekt exemplarisch ein ganzzahliges Attribut, das über eine get-Methode abgefragt werden kann. In den drei Vergleichsmethoden muss ein Objekt die Frage beantworten, wie es sich selbst gegenüber einem zweiten Objekt (hier *pContent*) der gleichen Klasse einordnet. + +```java + +public class Entry implements ComparableContent { + + private int wert; + + public Entry(int pWert) { + this.wert = pWert; + } + + public boolean isLess(Entry pContent) { + return wert < pContent.getWert(); + } + + public boolean isEqual(Entry pContent) { + return wert == pContent.getWert(); + } + + public boolean isGreater(Entry pContent) { + return wert > pContent.getWert(); + } + + public int getWert() { + return wert; + } +} +``` + + +### Einen Suchbaum aufbauen + +Steht die Basisklasse, so steht dem Aufbau des Suchbaums nichts mehr im Wege. Im nachfolgenden Beispiel werden nacheinander die Elemente 45, 25 usw. in den Suchbaum eingefügt. Für das geordnete Einfügen sorgt die Methode *insert*. + +Somit ergibt sich der folgende Beispielsuchbaum: + +![](img/baum1.png) + +```java +Entry int1 = new Entry(45); +Entry int2 = new Entry(25); +Entry int3 = new Entry(65); +Entry int4 = new Entry(15); +Entry int5 = new Entry(35); + +tree = new BinarySearchTree(); + +tree.insert(int1); +tree.insert(int2); +tree.insert(int3); +tree.insert(int4); +tree.insert(int5); +``` + + +### In einem Suchbaum suchen + +Um nun ein Element im Suchbaum zu suchen, ist zunächst ein Such-Objekt der Basisklasse (in unserem Beispiel *Entry*) anzulegen. Kann die Methode *search()* ein passendes Objekt im Baum finden, so wird dieses Objekt zurückgegeben. Bleibt die Suche erfolglos, so gibt sie *null* zurück. Eine Fallunterscheidung kann die beiden Fälle trennen. + +```java +Entry suchitem = new Entry(77); + +Entry ergitem = tree.search(suchitem); + +if (ergitem!=null) { + System.out.println("Ja"); +} +else { + System.out.println("Nein"); +} +``` + + +### Einen Suchbaum durchlaufen + +Analog zum Binärbaum kann auch der Suchbaum rekursiv durchsucht werden. Diese Möglichkeit ist aber vorrangig für Debugging-Zwecke (z.B. zum Ausdrucken des Suchbaum-Inhalts) interessant. + +```java +private void durchlaufeBaum(BinarySearchTree mytree) { + + if (!mytree.isEmpty()) { + + durchlaufeBaum(mytree.getLeftTree()); + System.out.println(mytree.getContent()); + durchlaufeBaum(mytree.getRightTree()); + + } +} +``` diff --git a/docs/zentralabitur/compilerbau.md b/docs/zentralabitur/compilerbau.md new file mode 100644 index 0000000..7cb207c --- /dev/null +++ b/docs/zentralabitur/compilerbau.md @@ -0,0 +1,60 @@ +# 4. Compilerbau (LK) + +Im Themengebiet der Theoretischen Informatik (meist abkürzend als Automaten bezeichnet) muss im LK auch der Bau eines Compilers behandelt werden. Obwohl beim Compilerbau zur Beschreibung formaler Sprachen wie z.B. Programmiersprachen meist kontextfreie Sprachen eingesetzt werden, wird für das Zentralabitur lediglich verlangt, einen Parser für eine reguläre Sprache entwickeln zu können. + +An dieser Stelle werden wir einen einfachen Parser entwickeln, der genau die Sprache akzeptiert, die auch der folgende Endliche Automat akzeptiert: + +![](img/automat.png) + +Die schrittweise Umsetzung nummeriert die Zustände durch und repräsentiert sie als fortlaufende int-Zahlen. Da die Eingaben Ziffern sind, kann die Eingabe ganz einfach Buchstabe für Buchstabe verarbeitet werden. Jeder Zustandswechsel findet sich in einer der geschachtelten switch-Anweisungen wieder. (*Bemerkung:* Die switch-Anweisungen werden lediglich verwendet, weil sie eine übersichtliche Lösung ermöglichen. Analog können selbstverständlich auch geschachtelte if-else-Anweisungen zum Einsatz kommen.) + +```java +public class Automat { + + public boolean parse(String wort) { + + int zustand = 0; // Startzustand + int zaehler = 0; // Beginn beim 0-ten Symbol + + while (zaehler < wort.length()) { + + char symbol = wort.charAt(zaehler); // aktuelles Symbol + + switch (zustand) { + case 0: { switch (symbol) { + case '0': { zustand = 1; break; } + case '1': { zustand = 0; break; } + } + break; + } + case 1: { switch (symbol) { + case '0': { zustand = 2; break; } + case '1': { zustand = 0; break; } + } + break; + } + case 2: { switch (symbol) { + case '0': { zustand = 3; break; } + case '1': { zustand = 0; break; } + } + break; + } + case 3: { switch (symbol) { + case '0': { zustand = 3; break; } + case '1': { zustand = 0; break; } + } + break; + } + } + + zaehler = zaehler + 1; // naechstes Symbol + + } + + if (zustand==3) { return true; } // Endzustand? + else { return false; } + + } + +} +``` diff --git a/docs/zentralabitur/datenbanken.md b/docs/zentralabitur/datenbanken.md new file mode 100644 index 0000000..9a40469 --- /dev/null +++ b/docs/zentralabitur/datenbanken.md @@ -0,0 +1,33 @@ +# 5. Datenbanken und Java + +Der Zugriff auf eine relationale Datenbank ist in Java fest eingebaut. Dieser Vorgang ist so komplex, dass er für den Schulgebrauch durch die beiden Klassen *DatabaseConnector* und *QueryResult* gekapselt wird. + +Das folgende Beispiel zeigt, wie eine beliebige SQL-Anfrage an eine vorhandene MySQL-Datenbank "Millionär" weitergeleitet und das tabellarische Ergebnis Zeile für Zeile auf dem Bildschirm ausgedruckt wird: + +```java +import db.*; + +public class Datenbanktest { + + public void testeAnfrage(String anfrage) { + DatabaseConnector con = new DatabaseConnector("localhost",3306,"millionaer","root","root"); + con.executeStatement(anfrage); + QueryResult res = con.getCurrentQueryResult(); + if (res != null) { + for (int i = 0; i < res.getColumnCount(); i++) { + System.out.print(res.getColumnNames()[i]+"\t"); + } + System.out.println(); + for (int j = 0; j < res.getRowCount(); j++) { + for (int i = 0; i < res.getColumnCount(); i++) { + System.out.print(res.getData()[j][i]+"\t"); + } + System.out.println(); + } + } else { + System.out.println(con.getErrorMessage()); + } + } + +} +``` diff --git a/docs/zentralabitur/graph.md b/docs/zentralabitur/graph.md new file mode 100644 index 0000000..ccb3956 --- /dev/null +++ b/docs/zentralabitur/graph.md @@ -0,0 +1,268 @@ +# 3. Graphstrukturen (LK) + +Als Spezialfall eines Graphen betrachten wir hier den ungerichteten, gewichteten Graphen. D.h. eine Kantenverbindung zwischen zwei Knoten wird grundsätzlich in beide Richtungen interpretiert und jeder Kante wird ein Gewicht (z.B. die Weglänge oder die benötigte Zeit) zugeordnet. Durch die Gesamtheit aller Kanten ergibt sich der Graph. + + +## Eine Datenstruktur für Graphen + +Um Graphen zu modellieren, stehen die drei Klassen *Vertex*, *Edge* und *Graph* zur Verfügung. + + +### Einen Graphen aufbauen + +Der folgende Quelltext baut mithilfe der drei Klassen einen einfachen Beispielgraphen auf: + +![](img/graph.png) + +Im Quelltext ist deutlich zu sehen, dass die Knoten und Kanten des Graphen getrennt erzeugt und dem Graphen zugewiesen werden. + +```java +Graph g = new Graph(); + +Vertex v1 = new Vertex("1"); +Vertex v2 = new Vertex("2"); +Vertex v3 = new Vertex("3"); + +g.addVertex(v1); +g.addVertex(v2); +g.addVertex(v3); + +Edge e1 = new Edge(v1,v2,5); +Edge e2 = new Edge(v1,v3,7); +Edge e3 = new Edge(v2,v3,13); + +g.addEdge(e1); +g.addEdge(e2); +g.addEdge(e3); +``` + + +### Beispiel: Nächster Nachbar + +Als exemplarische Anwendung der drei Klassen wird hier in einem gegebenem Graphen für einen gegebenen Knoten der nächstgelegene Nachbar bestimmt, d.h. die ID desjenigen Knoten, der mit dem gegebenen Knoten direkt verbunden ist und dessen zugehörige Kante das geringste Gewicht aufweist. + +Dazu wird mithilfe der Methode *getNeighbours()* zunächst eine Liste aller Nachbarknoten erfragt. Diese Liste wird nun durchlaufen. Dabei wird jeweils überprüft, ob das bisherige minimale Kantengewicht von der aktuellen Kante (vom Ausgangsknoten zum Nchbarknoten) unterboten werden kann. + +```java +public String findeNaechstenNachbarn(String ID) { + + Vertex startnode = g.getVertex(ID); + if (startnode==null) { return "Knoten unbekannt"; } + else { + List l = g.getNeighbours(startnode); + l.toFirst(); + String next_neighbour = "kein Nachbar"; + double min = 10000.0; + while (l.hasAccess()) { + Vertex node = l.getContent(); + Edge e = g.getEdge(startnode,node); + double distance = e.getWeight(); + if (distance s = new Stack(); + s.push(startnode); + + while (!s.isEmpty()) { + + Vertex aktuell = (Vertex) s.top(); + if (!aktuell.isMarked()) { // VERARBEITEN + System.out.println(aktuell.getID()); + } + aktuell.setMark(true); + + List l = g.getNeighbours(aktuell); + l.toFirst(); + boolean gefunden = false; + + while (l.hasAccess()) { // nicht-markieter Knoten vorhanden? + Vertex nachbar = l.getContent(); + if (!nachbar.isMarked()) { + s.push(nachbar); + gefunden = true; + break; + } + else { + l.next(); + } + } + + if (!gefunden) { s.pop(); } + + } +} +``` + + +### Breitensuche + +Im Unterschied zur Tiefensuche wird bei der Breitensuche eine Schlange als Hilfsdatenstruktur eingesetzt. Da für jeden aktuellen alle noch nicht besuchten Nachbarn an die Schlange angehängt werden, ergibt sich eine "ebenenweise" Abarbeitung des Graphen. + +```java +private Queue nichtDoppeltEinfuegen(Queue q, Vertex node) { + + Queue qneu = new Queue(); + boolean insert = true; + + while (!q.isEmpty()) { + Vertex n = q.front(); + q.dequeue(); + if (n.getID().equals(node.getID())) { + insert = false; + } + qneu.enqueue(n); + } + + if (insert) { qneu.enqueue(node); } + + return qneu; +} +``` + +Die Hilfsmethode, die das nicht-doppelte Einfügen in die Schlange realisiert, sei hier der Vollständigkeit halber mit angegeben: + +```java +private Queue nichtDoppeltEinfuegen(Queue q, Vertex node) { + + Queue qneu = new Queue(); + boolean insert = true; + + while (!q.isEmpty()) { + Vertex n = q.front(); + q.dequeue(); + if (n.getID().equals(node.getID())) { + insert = false; + } + qneu.enqueue(n); + } + + if (insert) { qneu.enqueue(node); } + + return qneu; +} +``` + + +## Backtracking + +Der folgende Backtracking-Algorithmus bestimmt alle Wege, die von einem gegebenen Startknoten zu einem gegebenen Zielknoten führen. Es ist leicht einzusehen, dass dieser Algorithmus exponentielle Laufzeit haben muss. + +Die Startmethode trifft alle Vorbereitungen, um das Backtracking in Gang zu setzen. + +```java +public void sucheWeg(Graph g, String vonID, String nachID) { + + g.setAllVertexMarks(false); + + Vertex vonKnoten = g.getVertex(vonID); + Vertex nachKnoten = g.getVertex(nachID); + + List knotenliste = new List(); + vonKnoten.setMark(true); // Markiere den Startknoten + knotenliste.append(vonKnoten); + + backtrack(g, vonKnoten, nachKnoten, knotenliste); // Starte die Rekursion! +} + +``` + +Die zentrale Idee des Algorithmus besteht darin, dass ausgehend von einem bislang ermittelten Pfad mit seinem bisherigen Endknoten ein Weg beginnend mit dem bisherigen Endknoten und endend mit dem gegebenen Endknoten gefunden werden soll. Der rekursive Algoritthmus sorgt dafür, dass für jedes Zwischenergebnis (also jeden Zwischenpfad) alle weiteren möglichen Pfade gesucht werden. Dabei werden nur neue (Nachbar-)Knoten berücksichtigt, die noch nicht besucht worden sind. + +Auf das eigentliche Backtracking (Speichere die Länge des bislang kürzesten gefundenen Weges und verwerfe Alternativwege, deren Länge bereits größer ist.) wird hier zur Vereinfachung verzichtet. + +```java +private void backtrack(Graph g, Vertex vonKnoten, Vertex nachKnoten, List weg) { + + if (vonKnoten == nachKnoten) { // Ziel schon erreicht? + String hilf = druckeWegAus(g, weg); + System.out.println(hilf); + } + else { + + List nachbarKnoten = g.getNeighbours(vonKnoten); + nachbarKnoten.toFirst(); + + while (nachbarKnoten.hasAccess()) { // Bearbeite alle Nachbarknoten + + Vertex knoten = nachbarKnoten.getContent(); + + if (!knoten.isMarked()) { + knoten.setMark(true); + weg.append(knoten); + + backtrack(g, knoten, nachKnoten, weg); // Suche ueber diesen Nachbarn weiter nach dem Ziel + + knoten.setMark(false); + weg.toLast(); + weg.remove(); + } + + nachbarKnoten.next(); + } + } + +} +``` + +Zum Ausdrucken eines vollständig gefundenen Pfades vom Start- zum Endknoten wird eine Hilfsmethode verwendet, die hier der Vollständigkeit halber mit angegeben ist. + +```java +private String druckeWegAus(Graph g, List wegliste) { + + // Bestimme zunaechst die Weglaenge + double wegLaenge = 0; + wegliste.toFirst(); + Vertex wegKnoten1 = wegliste.getContent(); + wegliste.next(); + + while (wegliste.hasAccess()) { + Vertex wegKnoten2 = wegliste.getContent(); + Edge e = g.getEdge(wegKnoten1, wegKnoten2); + double distanz = e.getWeight(); + wegLaenge = wegLaenge + distanz; + wegKnoten1 = wegKnoten2; + wegliste.next(); + } + + // Baue Zeichenkette zusammen + wegliste.toFirst(); + String s = wegLaenge + ": "; + + while (wegliste.hasAccess()) { + Vertex wegKnoten = wegliste.getContent(); + s = s + wegKnoten.getID()+" "; + wegliste.next(); + } + + return s+"\n"; +} +``` \ No newline at end of file diff --git a/docs/zentralabitur/img/automat.png b/docs/zentralabitur/img/automat.png new file 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z)59ApJ`9c`f=4e2Ol~11w%r9J%REB{2ImGN!w+3w(qMc(4yjfRFTlV*Vrpvp{vP&d zsGciGi-KZE5c2{`5w^f9_Q^FR1>TubUSRj+@f$mm*pqC#|02#*NQN&Z(cz}Or_-5h zBcXBn+{-Rs)n#8I0sb<4DHD4sKqoD4YD;w`fcIcVG{G_vb;HRPMzrWk-Vex0H+_ zp~>_+?rin9Gr;tPq*DUGBdex=P09dpL97l?KEP8AH5IrW?18}+=~w4^`>~|k0yVpa zVx!vu0}N=-9j7VaX`I}*eK|dD#$RuTwA*22_HRA#FjY;UHi;!^CSUz_5a!vvA&p+f UsqsT&ZYx@KwG1`O)n7;a56e0Kr2qf` literal 0 HcmV?d00001 diff --git a/docs/zentralabitur/index.md b/docs/zentralabitur/index.md new file mode 100644 index 0000000..24f7cda --- /dev/null +++ b/docs/zentralabitur/index.md @@ -0,0 +1,10 @@ +# II. Zentralabitur NRW + +Der vorliegende Bereich bespricht ausführlich den Umgang mit den Zentralabiturklassen in der Qualifikationsphase. + +- [Lineare Datenstrukturen](linear.md) +- [Baumstrukturen](baum.md) +- [Graphstrukturen (LK)](graph.md) +- [Compilerbau (LK)](compilerbau.md) +- [Datenbanken und Java](datenbanken.md) +- [Netzwerkprogrammierung (LK)](netzwerke.md) diff --git a/docs/zentralabitur/linear.md b/docs/zentralabitur/linear.md new file mode 100644 index 0000000..968ebb4 --- /dev/null +++ b/docs/zentralabitur/linear.md @@ -0,0 +1,306 @@ +# 1. Lineare Datenstrukturen + +Kommen Datenstrukturen zum Einsatz, geht es meist darum, beliebig viele Objekte in einer passenden Datenstruktur zu verwalten, z.B. alle Schüler einer Schule. In einem solchen Falle macht es keinen Sinn, alle Eigenschaften eines Schülers als primitive Datentypen zu modellieren und für jede Eigenschaft ein eigenes Feld o.ä. zu bilden. Deshalb wird zu Beginn dieses Kapitels zunächst erläutert, wie Objekte als Datensatzspeicher verwendet werden können. Im Anschluss daran werden die linearen Datenstrukturen Feld, Liste, Stack und Queue behandelt. + + + +## Objekte vs. primitive Datentypen + + +### Objekte als Datenspeicher + +In diesem Abschnitt möchten wir eine Schülerverwaltung modellieren. Dazu entwerfen wir eine eigene Klasse *Schueler* und modellieren zunächst die benötigten Eigenschaften als Attribute. Bei Bedarf kommen noch Methoden zum Ändern und Abfragen der Attribute hinzu. + +Im vorliegenden Beispiel sind die beiden Attribute Alter und Name definiert worden. Beide müssen im beim Erzeugen eines Schüler-Objekts übergeben werden (vgl. Konstruktor), beide können mithilfe der set-Methoden auch nachträglich verändert und mithilfe der get-Methoden jederzeit abgefragt werden. + +```java +public class Schueler { + + private String name; + private int alter; + + public Schueler(String name, int alter) { + this.name = name; + this.alter = alter; + } + + public void setName(String name) { + this.name = name; + } + + public String getName() { + return name; + } + + public void setAlter(int alter) { + this.alter = alter; + } + + public int getAlter() { + return alter; + } + +} + +``` + +Objekte einer Klasse, die wie in diesem Beispiel lediglich als Datenspeicher fungieren und selbst keine oder fast keine eigene Programmlogik besitzen, werden in Java als **Beans** ("Kaffeebohnen") bezeichnet. + + +### Wrapper-Klassen + +Die einzige Datenstruktur, die in Java neben Objekten auch primitive Datentypen verwalten kann, ist das Feld. Alle anderen Datenstrukturen (z.B. Liste, Stack, Queue usw.) erlauben lediglich das Speichern von Objekten. + +Doch was ist zu tun, wenn es für eine Anwendung ausreicht, lediglich Zahlen (z.B. ISBN-Nummern oder Schuhgrößen) zu speichern? Muss dann erst umständlich eine wie im Schüler-Beispiel beschriebene eigene Klasse entworfen werden? + +Für diese seltenen Fälle sind in Java so genannte **Wrapper-Klassen** eingebaut. + +primitiver Datentyp | Wrapper-Klasse | Service-Methode + -----|-----|----- +int | Integer | intValue() +double | Double | doubleValue() +char | Character | charValue() +boolean | Boolean | boolValue() + +Beispiel: Ein primitiver int-Wert 17 wird in einem Objekt der Klasse Integer "verpackt" (Boxing). + +```java +int i = 17; +Integer iobj = new Integer(i); // Boxing +``` + +Um ihn anschließend wieder aus dem Objekt herauszulesen (Unboxing), steht für jede Wrapper-Klasse eine entsprechende Service-Methode (vgl. Tabelle) zur Verfügung. + +```java +int j = iobj.intValue(); // Unboxing +``` + + + +## Feld + +Die naheliegende Datenstruktur zur Verwaltung von Objekten ist das Feld. Es ist in Java bereits eingebaut und ist recht einfach zu nutzen. + + +### Verwendung eines Felds + +An dieser Stelle soll das Beispiel einer Schülerverwaltung wieder aufgegriffen werden. Eine entsprechende Klasse Schüler ist bereits im vorherigen Abschnitt (vgl. [Objekte als Datenspeicher](#objekte-als-datenspeicher)) entwickelt worden. + +Die Erzeugung und Verwendung eines Feld über Schüler-Objekten verläuft analog zur Verwendung eines Felds über primitiven Datentypen (vgl. auch Abschnitt [Felder](../grundlagen/javagrundlagen.md#felder)). + +Wie im Quelltext zu sehen ist, werden zunächst die Schüler-Objekte erzeugt und anschließend wie in einem Feld üblich an die entsprechenden Positionen gesetzt. Die Methode *istVorhanden()* zeigt exemplarisch den Durchlauf durch ein Feld. + +```java +public class Schuelerverwaltung { + + private Schueler[] meineschueler; + + public Schuelerverwaltung() { + Schueler s1 = new Schueler("Otto",14); + Schueler s2 = new Schueler("Susi",13); + Schueler s3 = new Schueler("Hans",15); + + meineschueler = new Schueler[3]; + meineschueler[0] = s1; + meineschueler[1] = s2; + meineschueler[2] = s3; + } + + public boolean istVorhanden(String suchname) { + for (int i=0; i l = new List(); +l.append(s1); +l.append(s2); +l.append(s3); +``` + +### Eine Liste durchlaufen + +Beim Durchlaufen einer Liste (z.B. um eine Suche zu realisieren) ist ein Sprung an den Anfang der Liste mithilfe der Methode *toFirst()* erforderlich. Anschließend hilft die Anfrage *hasAccess()* dabei zu erfragen, ob noch ein Listenelement verfügbar ist oder durch das Weiterlaufen durch die Liste mit der Methode *next()* bereits das Ende der Liste erreicht ist. + +Wird die Zeichenketten-Liste aus dem vorherigen Abschnitt zugrunde gelegt, so lautet die Ausgabe der Schleife: *Babsi -> Franz -> Susi -> ENDE!* + +```java +l.toFirst(); + +while (l.hasAccess()) { + String s = l.getContent(); + System.out.print(s+" -> "); + l.next(); +} + +System.out.println("ENDE!"); +``` + + +### Eine Liste verändern + +Für das nächste Beispiel stellen wir uns eine Musiksammlung vor, in der Objekte der Klasse *Titel* verwaltet werden. Für jedes Titelobjekt ist eine Bewertung zwischen 1 und 5 angegeben, die durch die Methode *getBewertung()* erfragt werden kann. + +Damit durchläuft die Schleife die Liste aller Titelobjekte und löscht mit der Methode *remove()* diejenigen Titel, die eine Bewertung 1 erhalten haben. Zusätzlich wird die Anzahl der gelöschten Objekte in der Variablen *counter* mitgezählt. + +```java +l.toFirst(); +int counter = 0; + +while (l.hasAccess()) { + + Titel t = l.getContent(); + if (t.getBewertung()==1) { + l.remove(); + counter++; + } + else { + l.next(); + } + +} +``` + + +### In eine sortierte Liste einfügen + +Eine Sortierung einer Liste kann mitunter ebenfalls sinnvoll sein. In unserem Beispiel der Musiksammlung könnten die Titelobjekte sortiert nach der Bewertung abgelegt werden. Damit die Sortierung der Liste nicht verloren geht, muss dem Benutzer der Musiksammlung eine eigene Methode zum sortierten Einfügen eines neuen Titels zur Verfügung gestellt werden. + +Die Schleife wird solange durchlaufen, bis ein Titel gefunden wurde, der eine höhere oder gleich hohe Bewertung als der neue Titel besitzt. An dieser Stelle wird das zugehörige Titelobjekt mit der Methode *insert* vor dem aktuellen Listenobjekt eingefügt. + +```java +public void fuegeTitelSortiertEin(Titel t, List l) { + l.toFirst(); + while (l.hasAccess()) { + Titel aktuell = l.getContent(); + if (t.getBewertung() <= aktuell.getBewertung()) { + l.insert(t); + return; + } + else { + l.next(); + } + } + l.append(t); +} +``` + + +## Stack und Queue + +Als Spezialfall der Liste sind sich Stack und Queue sehr ähnlich, weshalb sie oft gemeinsam besprochen werden. Die Queue (Schlange) ist eine FIFO-Datenstruktur (first in, first out) - die Objekte werden in der Reihenfolge verwaltet, in der sie in die Datenstruktur eingefügt worden sind. Direkter Zugriff besteht nur auf das vorderste Element der Schlange (den Kopf), eingefügt wird immer hinten (am Schlangenende). Der Stack (Stapel) hingegen wird als LIFO-Datenstruktur (last in, first out) bezeichnet. Hier werden neue Objekte immer oben auf den Stapel gelegt, direkter Zugriff besteht ebenfalls nur auf das oberste Objekt des Stapels. + + +### Einen Stack aufbauen + +Wie bei einer Liste ist beim Erzeugen eines Stacks zunächst die Klasse der Objekte anzugeben, die im Stack verwaltet werden sollen. Im nachfolgenden Beispiel werden drei Zeichenketten auf den Stack gelegt. Durch die LIFO-Struktur ergibt sich auf dem Stapel von oben nach unten gesehen die Abfolge *Hans - Maria - Manfred*. + +```java +String s1 = "Manfred"; +String s2 = "Maria"; +String s3 = "Hans"; + +Stack s = new Stack(); + +s.push(s1); +s.push(s2); +s.push(s3); +``` + + +### Einen Stack durchlaufen + +Der Stapel kann mit einer Schleife leicht von oben nach unten durchlaufen werden. + +!!! Hinweis + Dabei wird der Stapel abgebaut, d.h. der Zugriff auf die Objekte geht verloren. Ist dies unerwünscht, müssen die einzelnen Objekte während des Durchlaufs in einer anderen Datenstruktur zwischengespeichert werden. + +```java +while (!s.isEmpty()) { + + String aktuell = s.top(); + + System.out.println(aktuell); + + s.pop(); +} +``` + + +### Eine Queue aufbauen + +Wie bei einer Liste ist beim Erzeugen einer Queue zunächst die Klasse der Objekte anzugeben, die in der Queue verwaltet werden sollen. Im nachfolgenden Beispiel werden drei Zeichenketten in die Schlange eingefügt. Durch die FIFO-Struktur ergibt sich in der Schlange die Abfolge *Manfred - Maria - Hans*. + +```java +String s1 = "Manfred"; +String s2 = "Maria"; +String s3 = "Hans"; + +Queue s = new Queue(); + +s.enqueue(s1); +s.enqueue(s2); +s.enqueue(s3); +``` + + +### Eine Queue durchlaufen + +Eine Schlange kann mit einer Schleife leicht von vorn nach hinten durchlaufen werden. + +!!! Hinweis + Dabei wird die Schlange abgebaut, d.h. der Zugriff auf die Objekte geht verloren. Ist dies unerwünscht, müssen die einzelnen Objekte während des Durchlaufs in einer anderen Datenstruktur zwischengespeichert werden. + +```java +while (!s.isEmpty()) { + + String aktuell = s.front(); + + System.out.println(aktuell); + + s.dequeue(); +} +``` diff --git a/docs/zentralabitur/netzwerke.md b/docs/zentralabitur/netzwerke.md new file mode 100644 index 0000000..436414d --- /dev/null +++ b/docs/zentralabitur/netzwerke.md @@ -0,0 +1,165 @@ +# 6. Netzwerkprogrammierung (LK) + +Der nachfolgende Abschnitt gliedert sich nach den drei Klassen der Netzwerkbibliothek (Connection, Client und Server), die im LK die Grundlage von Client-Server-Projekten darstellt. + + +## Die Klasse Connection + +Objekte der Klasse Connection ermöglichen eine Netzwerkverbindung zu einem Server mittels TCP/IP-Protokoll. Nach Verbindungsaufbau können Zeichenketten (Strings) zum Server gesendet und von diesem empfangen werden. + +### TimeClient + +Im folgenden Beispiel wird Kontakt zu einem öffentlichen Time-Server aufgenommen und ohne das Versenden einer eigenen Nachricht eine Nachricht des Servers (die aktuelle Zeit) abgewartet. + +```java +import netz.*; + +public class TimeClient { + + public String getTime() { + Connection con = new Connection("time.fu-berlin.de",13); + return con.receive(); + } + +} +``` + +### EchoClient + +Im Gegensatz zum vorherigen Beispiel wird zunächst eine eigene Nachricht zum (Echo-)Server geschickt, bevor erneut auf Antwort des Servers gewartet wird. + +```java +import netz.*; + +public class EchoClient1 { + + Connection con; + + public void starteClient(String pIPAdresse, int pPort) { + con = new Connection(pIPAdresse, pPort); + } + + public String sendeNachricht(String pNachricht) { + con.send(pNachricht); + return con.receive(); + } + + public void beendeVerbindung() { + con.close(); + } +} +``` + + +## Die Klasse Client + +Objekte von Unterklassen der abstrakten Klasse Client ermöglichen Netzwerkverbindungen zu einem Server mittels TCP/IP-Protokoll. Nach Verbindungsaufbau können Zeichenketten (Strings) zum Server gesendet und von diesem empfangen werden, wobei der Nachrichtenempfang nebenläufig geschieht. Jede empfangene Nachricht wird einer Ereignisbehandlungsmethode übergeben, die in Unterklassen implementiert werden muss (vgl. Methode processMessage). + +### EchoClient + +Das folgende Beispiel zeigt eine Umsetzung des Echo-Clients als Unterklasse der Klasse Client. Zu beachten ist hier das Überlagern der Methode processMessage. + +```java +import netz.*; + +public class EchoClient2 extends Client { + + public EchoClient2(String pIPAdresse, int pPortNr) { + super(pIPAdresse, pPortNr); + } + + public void processMessage(String pMessage) { + System.out.println(pMessage); + } + + public void sendeNachricht(String pNachricht) { + this.send(pNachricht); + } +} +``` + + +## Die Klasse Server + +Objekte von Unterklassen der abstrakten Klasse Server ermöglichen das Anbieten von Serverdiensten, so dass Clients Verbindungen zum Server mittels TCP/IP-Protokoll aufbauen können. Verbindungsannahme, Nachrichtenempfang und Verbindungsende geschehen nebenläufig. Auf diese Ereignisse muss durch Überschreiben der entsprechenden Ereignisbehandlungsmethoden reagiert werden (vgl. Methoden processNewConnection, processMessage und processClosingConnection). + +### EchoServer + +Das fgolgende Beispiel zeigt eine Umsetzung eines Echo-Servers als Unterklasse der Klasse Server. Zu beachten ist hier das Überlagern der drei genannten Methoden. + +```java +import netz.*; + +public class EchoServer extends Server { + + public EchoServer (int pPortNum) { + super(pPortNum); + } + + public void processNewConnection(String pClientIP, int pClientPort) { + System.out.println("! Neue Verbindung " + pClientIP + ":" + pClientPort); + } + + public void processMessage(String pClientIP, int pClientPort, String pMessage) { + System.out.println(">>" + pClientIP + ":" + pClientPort + " : " + pMessage); + this.send(pClientIP, pClientPort, pMessage); + } + + public void processClosingConnection(String pClientIP, int pClientPort) { + System.out.println("! Abmeldung Client " + pClientIP + ":" + pClientPort); + } +} +``` + +### RateServer + +Das abschließende Beispiel setzt einen einfachen Zahlenraten-Server als Client-Server-Lösung mit beliebig vielen Mitspielern um. + +```java +import netz.*; +import java.util.*; + +public class RateServer extends Server { + private Random zufall; + private int ratezahl; + + public RateServer(int pPortNr) { + super(pPortNr); + zufall = new Random(); + ratezahl = zufall.nextInt(1000)+1; + System.out.println("Der Server ist gestartet. PortNr: "+pPortNr); + } + + public void processClosingConnection(String pClientIP, int pClientPort) { + System.out.println(""+pClientIP+" "+pClientPort+" hat sich abgemeldet."); + } + + public void processMessage(String pClientIP, int pClientPort, String pNachricht) { + try { + int zahl = Integer.parseInt(pNachricht); + if (zahl == ratezahl) { + send(pClientIP, pClientPort,pClientIP+" "+pClientPort+"+ok Herzlichen Glückwunsch"); + System.out.println("Gewinner: " + pClientIP + ":" + pClientPort); + ratezahl = zufall.nextInt(1000)+1; + sendToAll("Neues Spiel"); + System.out.println("Neues Spiel gestartet"); + } else { + if (zahl < ratezahl) { + send(pClientIP, pClientPort,"+ok "+zahl+" ist zu klein"); + } else { + send(pClientIP, pClientPort,"+ok "+zahl+" ist zu gross"); + } + } + } catch (Exception e) { + send(pClientIP, pClientPort, "-err Bitte Zahl zwischen 1 und 1000 schicken"); + } + System.out.println(""+pClientIP+" "+pClientPort+" "+pNachricht); + } + + public void processNewConnection(String pClientIP, int pClientPort) { + send(pClientIP, pClientPort, "+ok Willkommen. "+pClientIP+" "+pClientPort); + send(pClientIP, pClientPort, "Bitte Zahl schicken"); + } + +} +``` diff --git a/zensical.toml b/zensical.toml new file mode 100644 index 0000000..b3dcf7e --- /dev/null +++ b/zensical.toml @@ -0,0 +1,321 @@ +# ============================================================================ +# +# The configuration produced by default is meant to highlight the features +# that Zensical provides and to serve as a starting point for your own +# projects. +# +# ============================================================================ + +[project] + +# The site_name is shown in the page header and the browser window title +# +# Read more: https://zensical.org/docs/setup/basics/#site_name +site_name = "JAVAkompakt" + +# The site_description is included in the HTML head and should contain a +# meaningful description of the site content for use by search engines. +# +# Read more: https://zensical.org/docs/setup/basics/#site_description +#site_description = "A new project generated from the default template project." + +# The site_author attribute. This is used in the HTML head element. +# +# Read more: https://zensical.org/docs/setup/basics/#site_author +site_author = "Dr. Wolfgang Lezius" + +# The site_url is the canonical URL for your site. When building online +# documentation you should set this. +# Read more: https://zensical.org/docs/setup/basics/#site_url +#site_url = "https://www.example.com/" + +# The copyright notice appears in the page footer and can contain an HTML +# fragment. +# +# Read more: https://zensical.org/docs/setup/basics/#copyright +#copyright = """ +#Copyright © 2025 Dr. +#""" + +# Zensical supports both implicit navigation and explicitly defined navigation. +# If you decide not to define a navigation here then Zensical will simply +# derive the navigation structure from the directory structure of your +# "docs_dir". The definition below demonstrates how a navigation structure +# can be defined using TOML syntax. +# +# Read more: https://zensical.org/docs/setup/navigation/ +nav = [ + { "JAVAkompakt" = "index.md"}, + { "Grundlagen" = [ + "grundlagen/index.md", + { "1. Java-Grundlagen" = "grundlagen/javagrundlagen.md" }, + { "2. Suchen und Sortieren" = "grundlagen/suchensortieren.md" }, + { "3. Kryptologie" = "grundlagen/kryptologie.md" }, + { "4. Rekursion" = "grundlagen/rekursion.md" } + ]}, + { "Zentralabitur" = [ + "zentralabitur/index.md", + { "1. Lineare Datenstrukturen" = "zentralabitur/linear.md" }, + { "2. Baumstrukturen" = "zentralabitur/baum.md" }, + { "3. Graphstrukturen (LK)" = "zentralabitur/graph.md" }, + { "4. Compilerbau (LK)" = "zentralabitur/compilerbau.md" }, + { "5. Datenbanken und Java" = "zentralabitur/datenbanken.md" }, + { "6. Netzwerkprogrammierung (LK)" = "zentralabitur/netzwerke.md" } + ]} +] + +# With the "extra_css" option you can add your own CSS styling to customize +# your Zensical project according to your needs. You can add any number of +# CSS files. +# +# The path provided should be relative to the "docs_dir". +# +# Read more: https://zensical.org/docs/customization/#additional-css +# +#extra_css = ["stylesheets/extra.css"] + +# With the `extra_javascript` option you can add your own JavaScript to your +# project to customize the behavior according to your needs. +# +# The path provided should be relative to the "docs_dir". +# +# Read more: https://zensical.org/docs/customization/#additional-javascript +#extra_javascript = ["javascripts/extra.js"] + +# ---------------------------------------------------------------------------- +# Section for configuring theme options +# ---------------------------------------------------------------------------- +[project.theme] + +# change this to "classic" to use the traditional Material for MkDocs look. +#variant = "classic" + +# Zensical allows you to override specific blocks, partials, or whole +# templates as well as to define your own templates. To do this, uncomment +# the custom_dir setting below and set it to a directory in which you +# keep your template overrides. +# +# Read more: +# - https://zensical.org/docs/customization/#extending-the-theme +# +#custom_dir = "overrides" + +# With the "favicon" option you can set your own image to use as the icon +# browsers will use in the browser title bar or tab bar. The path provided +# must be relative to the "docs_dir". +# +# Read more: +# - https://zensical.org/docs/setup/logo-and-icons/#favicon +# - https://developer.mozilla.org/en-US/docs/Glossary/Favicon +# +#favicon = "images/favicon.png" + +# Zensical supports more than 60 different languages. This means that the +# labels and tooltips that Zensical's templates produce are translated. +# The "language" option allows you to set the language used. This language +# is also indicated in the HTML head element to help with accessibility +# and guide search engines and translation tools. +# +# The default language is "en" (English). It is possible to create +# sites with multiple languages and configure a language selector. See +# the documentation for details. +# +# Read more: +# - https://zensical.org/docs/setup/language/ +# +language = "de" + +# Zensical provides a number of feature toggles that change the behavior +# of the documentation site. +features = [ + # Zensical includes an announcement bar. This feature allows users to + # dismiss it then they have read the announcement. + # https://zensical.org/docs/setup/header/#announcement-bar + "announce.dismiss", + + # If you have a repository configured and turn feature this on, Zensical + # will generate an edit button for the page. This works for common + # repository hosting services. + # https://zensical.org/docs/setup/repository/#code-actions + #"content.action.edit", + + # If you have a repository configured and turn feature this on, Zensical + # will generate a button that allows the user to view the Markdown + # code for the current page. + # https://zensical.org/docs/setup/repository/#code-actions + #"content.action.view", + + # Code annotations allow you to add an icon with a tooltip to your + # code blocks to provide explanations at crucial points. + # https://zensical.org/docs/authoring/code-blocks/#code-annotations + "content.code.annotate", + + # This feature turns on a button in code blocks that allow users to + # copy the content to their clipboard without first selecting it. + # https://zensical.org/docs/authoring/code-blocks/#code-copy-button + "content.code.copy", + + # Code blocks can include a button to allow for the selection of line + # ranges by the user. + # https://zensical.org/docs/authoring/code-blocks/#code-selection-button + "content.code.select", + + # Zensical can render footnotes as inline tooltips, so the user can read + # the footnote without leaving the context of the document. + # https://zensical.org/docs/authoring/footnotes/#footnote-tooltips + "content.footnote.tooltips", + + # If you have many content tabs that have the same titles (e.g., "Python", + # "JavaScript", "Cobol"), this feature causes all of them to switch to + # at the same time when the user chooses their language in one. + # https://zensical.org/docs/authoring/content-tabs/#linked-content-tabs + "content.tabs.link", + + # TODO: not sure I understand this one? Is there a demo of this in the docs? + # https://zensical.org/docs/authoring/tooltips/#improved-tooltips + "content.tooltips", + + # With this feature enabled, Zensical will automatically hide parts + # of the header when the user scrolls past a certain point. + # https://zensical.org/docs/setup/header/#automatic-hiding + # "header.autohide", + + # Turn on this feature to expand all collapsible sections in the + # navigation sidebar by default. + # https://zensical.org/docs/setup/navigation/#navigation-expansion + # "navigation.expand", + + # This feature turns on navigation elements in the footer that allow the + # user to navigate to a next or previous page. + # https://zensical.org/docs/setup/footer/#navigation + "navigation.footer", + + # When section index pages are enabled, documents can be directly attached + # to sections, which is particularly useful for providing overview pages. + # https://zensical.org/docs/setup/navigation/#section-index-pages + "navigation.indexes", + + # When instant navigation is enabled, clicks on all internal links will be + # intercepted and dispatched via XHR without fully reloading the page. + # https://zensical.org/docs/setup/navigation/#instant-navigation + "navigation.instant", + + # With instant prefetching, your site will start to fetch a page once the + # user hovers over a link. This will reduce the perceived loading time + # for the user. + # https://zensical.org/docs/setup/navigation/#instant-prefetching + "navigation.instant.prefetch", + + # In order to provide a better user experience on slow connections when + # using instant navigation, a progress indicator can be enabled. + # https://zensical.org/docs/setup/navigation/#progress-indicator + #"navigation.instant.progress", + + # When navigation paths are activated, a breadcrumb navigation is rendered + # above the title of each page + # https://zensical.org/docs/setup/navigation/#navigation-path + "navigation.path", + + # When pruning is enabled, only the visible navigation items are included + # in the rendered HTML, reducing the size of the built site by 33% or more. + # https://zensical.org/docs/setup/navigation/#navigation-pruning + #"navigation.prune", + + # When sections are enabled, top-level sections are rendered as groups in + # the sidebar for viewports above 1220px, but remain as-is on mobile. + # https://zensical.org/docs/setup/navigation/#navigation-sections + "navigation.sections", + + # When tabs are enabled, top-level sections are rendered in a menu layer + # below the header for viewports above 1220px, but remain as-is on mobile. + # https://zensical.org/docs/setup/navigation/#navigation-tabs + "navigation.tabs", + + # When sticky tabs are enabled, navigation tabs will lock below the header + # and always remain visible when scrolling down. + # https://zensical.org/docs/setup/navigation/#sticky-navigation-tabs + #"navigation.tabs.sticky", + + # A back-to-top button can be shown when the user, after scrolling down, + # starts to scroll up again. + # https://zensical.org/docs/setup/navigation/#back-to-top-button + "navigation.top", + + # When anchor tracking is enabled, the URL in the address bar is + # automatically updated with the active anchor as highlighted in the table + # of contents. + # https://zensical.org/docs/setup/navigation/#anchor-tracking + "navigation.tracking", + + # When search highlighting is enabled and a user clicks on a search result, + # Zensical will highlight all occurrences after following the link. + # https://zensical.org/docs/setup/search/#search-highlighting + "search.highlight", + + # When anchor following for the table of contents is enabled, the sidebar + # is automatically scrolled so that the active anchor is always visible. + # https://zensical.org/docs/setup/navigation/#anchor-following + # "toc.follow", + + # When navigation integration for the table of contents is enabled, it is + # always rendered as part of the navigation sidebar on the left. + # https://zensical.org/docs/setup/navigation/#navigation-integration + #"toc.integrate", +] + +# ---------------------------------------------------------------------------- +# In the "palette" subsection you can configure options for the color scheme. +# You can configure different color # schemes, e.g., to turn on dark mode, +# that the user can switch between. Each color scheme can be further +# customized. +# +# Read more: +# - https://zensical.org/docs/setup/colors/ +# ---------------------------------------------------------------------------- +[[project.theme.palette]] +scheme = "default" +toggle.icon = "lucide/sun" +toggle.name = "Switch to dark mode" + +[[project.theme.palette]] +scheme = "slate" +toggle.icon = "lucide/moon" +toggle.name = "Switch to light mode" + +# ---------------------------------------------------------------------------- +# In the "font" subsection you can configure the fonts used. By default, fonts +# are loaded from Google Fonts, giving you a wide range of choices from a set +# of suitably licensed fonts. There are options for a normal text font and for +# a monospaced font used in code blocks. +# ---------------------------------------------------------------------------- +#[project.theme.font] +#text = "Inter" +#code = "Jetbrains Mono" + +# ---------------------------------------------------------------------------- +# You can configure your own logo to be shown in the header using the "logo" +# option in the "icons" subsection. The logo can be a path to a file in your +# "docs_dir" or it can be a path to an icon. +# +# Likewise, you can customize the logo used for the repository section of the +# header. Zensical derives the default logo for this from the repository URL. +# See below... +# +# There are other icons you can customize. See the documentation for details. +# +# Read more: +# - https://zensical.org/docs/setup/logo-and-icons +# - https://zensical.org/docs/authoring/icons-emojis/#search +# ---------------------------------------------------------------------------- +#[project.theme.icon] +logo = "material/book-open-variant-outline" +#repo = "lucide/smile" + +# ---------------------------------------------------------------------------- +# The "extra" section contains miscellaneous settings. +# ---------------------------------------------------------------------------- +#[[project.extra.social]] +#icon = "fontawesome/brands/github" +#link = "https://github.com/user/repo" + +

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