feat: stack with linked list

data_structures/doubly_linked_list.ts

@@ -1,3 +1,5 @@
+import { LinkedList } from "./linked_list";
+
 /**
  * This is an implementation of a Doubly Linked List.
  * A Doubly Linked List is a data structure that contains a head, tail and length property.
@@ -10,7 +12,7 @@
  * @property tail The tail of the list.
  * @property length The length of the list.
  */
-export class DoublyLinkedList<T> {
+export class DoublyLinkedList<T> implements LinkedList<T> {
     private head?: DoublyLinkedListNode<T> = undefined;
     private tail?: DoublyLinkedListNode<T> = undefined;
     private length: number = 0;

data_structures/linked_list.ts

@@ -0,0 +1,16 @@
+/**
+ * An interface for linked lists, which shares the common methods.
+ */
+export interface LinkedList<T> {
+  isEmpty(): boolean;
+  get(index: number): T | null | undefined;
+  push(data: T): void;
+  pop(): T | undefined;
+  append(data: T): void;
+  removeTail(): T | undefined;
+  insertAt(index: number, data: T): void;
+  removeAt(index: number): T | undefined;
+  clear(): void;
+  toArray(): (T | undefined)[];
+  getLength(): number;
+}

data_structures/linked_list_stack.ts

@@ -0,0 +1,82 @@
+import { SinglyLinkedList } from "./singly_linked_list";
+
+/**
+ * This is an implementation of a stack, based on a linked list.
+ * A stack is a linear data structure that works with the LIFO (Last-In-First-Out) principle.
+ * A linked list is a linear data structure that works with the FIFO (First-In-First-Out) principle and uses references
+ * to determine which element is next in the list.
+ */
+export class LinkedListStack<T> {
+    private list: SinglyLinkedList<T>;
+    private limit: number;
+
+    /**
+     * Creates a new stack object.
+     */
+    constructor(limit: number = Number.MAX_VALUE) {
+        this.list = new SinglyLinkedList<T>();
+        this.limit = limit;
+    }
+
+    /**
+     * Gets the top element of the stack.
+     * Time complexity: constant (O(1))
+     * 
+     * @returns The top element of the stack.
+     */
+    top(): T | null {
+        if (this.list.isEmpty()) {
+            return null;
+        }
+
+        return this.list.get(0)!;
+    }
+
+    /**
+     * Inserts a new element on the top of the stack.
+     * Time complexity: constant (O(1))
+     * 
+     * @param data The data of the element to insert.
+     * @throws Stack overflow, if the new element does not fit in the limit.
+     */
+    push(data: T): void {
+        if (this.list.getLength() + 1 > this.limit) {
+            throw new Error('Stack overflow')
+        }
+
+        this.list.push(data);
+    }
+
+    /**
+     * Removes the top element from the stack.
+     * Time complexity: constant (O(1))
+     * 
+     * @returns The previous top element.
+     * @throws Stack underflow, if the stack has no elements to pop.
+     */
+    pop(): T {
+        if (this.list.isEmpty()) {
+            throw new Error('Stack underflow')
+        }
+
+        return this.list.pop();
+    }
+
+    /**
+     * Gets the amount of elements in the stack.
+     * 
+     * @returns The amount of elements in the stack.
+     */
+    length(): number {
+        return this.list.getLength();
+    }
+
+    /**
+     * Gets whether the stack is empty or not.
+     * 
+     * @returns Whether the stack is empty or not.
+     */
+    isEmpty(): boolean {
+        return this.list.isEmpty();
+    }
+}

data_structures/singly_linked_list.ts

@@ -0,0 +1,275 @@
+import { LinkedList } from "./linked_list";
+
+/**
+ * Represents a node in a linked list.
+ *
+ * @template T The type of the data stored in the node.
+ * @property data The data stored in the node.
+ * @property next A reference to the next node in the list. Can reference to null, if there is no next element.
+ */
+class ListNode<T> {
+  constructor(public data: T, public next?: ListNode<T>) {}
+}
+
+/**
+ * This is an implementation of a (singly) linked list.
+ * A linked list is a data structure that stores each element with a pointer (or reference) to the next element
+ * in the list. Therefore, it is a linear data structure, which can be resized dynamically during runtime, as there is
+ * no fixed memory block allocated.
+ *
+ * @template T The type of the value of the nodes.
+ * @property head The head of the list.
+ * @property tail The tail of the list.
+ * @property length The length of the list.
+ */
+export class SinglyLinkedList<T> implements LinkedList<T> {
+  private head?: ListNode<T>;
+  private tail?: ListNode<T>;
+  private length: number;
+
+  /**
+   * Creates a new, empty linked list.
+   */
+  constructor() {
+    this.head = undefined;
+    this.tail = undefined;
+    this.length = 0;
+  }
+
+  /**
+   * Checks, if the list is empty.
+   *
+   * @returns Whether the list is empty or not.
+   */
+  isEmpty(): boolean {
+    return !this.head;
+  }
+
+  /**
+   * Gets the data of the node at the given index.
+   * Time complexity: linear (O(n))
+   *
+   * @param index The index of the node.
+   * @returns The data of the node at the given index or null, if no data is present.
+   */
+  get(index: number): T | null {
+    if (index < 0 || index >= this.length) {
+      return null;
+    }
+
+    if (this.isEmpty()) {
+      return null;
+    }
+
+    let currentNode: ListNode<T> = this.head!;
+    for (let i: number = 0; i < index; i++) {
+      if (!currentNode.next) {
+        return null;
+      }
+
+      currentNode = currentNode.next;
+    }
+
+    return currentNode.data;
+  }
+
+  /**
+   * Inserts the given data as the first node of the list.
+   * Time complexity: constant (O(1))
+   *
+   * @param data The data to be inserted.
+   */
+  push(data: T): void {
+    const node: ListNode<T> = new ListNode<T>(data);
+
+    if (this.isEmpty()) {
+      this.head = node;
+      this.tail = node;
+    } else {
+      node.next = this.head;
+      this.head = node;
+    }
+
+    this.length++;
+  }
+
+  /**
+   * Removes the first node of the list.
+   * Time complexity: constant (O(1))
+   *
+   * @returns The data of the node that was removed.
+   * @throws Index out of bounds if the list is empty.
+   */
+  pop(): T {
+    if (this.isEmpty()) {
+      throw new Error('Index out of bounds');
+    }
+
+    const node: ListNode<T> = this.head!;
+    this.head = this.head!.next;
+    this.length--;
+
+    return node.data;
+  }
+
+  /**
+   * Inserts the given data as a new node after the current TAIL.
+   * Time complexity: constant (O(1))
+   *
+   * @param data The data of the node being inserted.
+   */
+  append(data: T): void {
+    const node: ListNode<T> = new ListNode<T>(data);
+
+    if (this.isEmpty()) {
+      this.head = node;
+    } else {
+      this.tail!.next = node;
+    }
+
+    this.tail = node;
+    this.length++;
+  }
+
+  /**
+   * Removes the current TAIL of the list.
+   * Time complexity: linear (O(n))
+   *
+   * @returns The data of the former TAIL.
+   * @throws Index out of bounds if the list is empty.
+   */
+  removeTail(): T {
+    if (!this.head) {
+      throw new Error('Index out of bounds');
+    }
+
+    const currentTail = this.tail;
+    if (this.head === this.tail) {
+      this.head = undefined;
+      this.tail = undefined;
+      this.length--;
+
+      return currentTail!.data;
+    }
+
+    let currentNode: ListNode<T> = this.head;
+    while (currentNode.next !== currentTail) {
+      currentNode = currentNode.next!;
+    }
+
+    this.tail = currentNode;
+    this.length--;
+
+    return currentTail!.data;
+  }
+
+  /**
+   * Inserts the data as a new node at the given index.
+   * Time complexity: O(n)
+   *
+   * @param index The index where the node is to be inserted.
+   * @param data The data to insert.
+   * @throws Index out of bounds, when given an invalid index.
+   */
+  insertAt(index: number, data: T): void {
+    if (index < 0 || index > this.length) {
+      throw new Error('Index out of bounds');
+    }
+
+    if (index === 0) {
+      this.push(data);
+
+      return;
+    }
+
+    if (index === this.length) {
+      this.append(data);
+
+      return;
+    }
+
+    const newNode = new ListNode<T>(data);
+    let currentNode: ListNode<T> | undefined = this.head;
+    for (let i: number = 0; i < index - 1; i++) {
+      currentNode = currentNode?.next;
+    }
+
+    const nextNode = currentNode?.next;
+    currentNode!.next = newNode;
+    newNode.next = nextNode;
+
+    this.length++;
+  }
+
+  /**
+   * Removes the node at the given index.
+   * Time complexity: O(n)
+   *
+   * @param index The index of the node to be removed.
+   * @returns The data of the removed node.
+   * @throws Index out of bounds, when given an invalid index.
+   */
+  removeAt(index: number): T {
+    if (index < 0 || index >= this.length) {
+      throw new Error('Index out of bounds');
+    }
+
+    if (index === 0) {
+      return this.pop();
+    }
+
+    if (index === this.length - 1) {
+      return this.removeTail();
+    }
+
+    let previousNode: ListNode<T> | undefined;
+    let currentNode: ListNode<T> | undefined = this.head;
+    for (let i: number = 0; i < index; i++) {
+      if (i === index - 1) {
+        previousNode = currentNode;
+      }
+
+      currentNode = currentNode?.next;
+    }
+
+    previousNode!.next = currentNode?.next;
+    this.length--;
+
+    return currentNode!.data;
+  }
+
+  /**
+   * Clears the list.
+   */
+  clear(): void {
+    this.head = undefined;
+    this.tail = undefined;
+    this.length = 0;
+  }
+
+  /**
+   * Converts the list to an array.
+   *
+   * @returns The array representation of the list.
+   */
+  toArray(): T[] {
+    const array: T[] = [];
+    let currentNode: ListNode<T> | undefined = this.head;
+
+    while (currentNode) {
+      array.push(currentNode.data);
+      currentNode = currentNode.next;
+    }
+
+    return array;
+  }
+
+  /**
+   * Gets the length of the list.
+   *
+   * @returns The length of the list.
+   */
+  getLength(): number {
+    return this.length;
+  }
+}