delayedShiftArray.ts

// Implement a queue using Delayed shift arrays - It consists of associating an index with the array. 
// When an element is dequeued, the index moves forward. When the index reaches the middle of the array, 
// the array is sliced in two to remove the first half.

// This is a FIFO data structure

/** Queue contains a linked list of Subqueue */
class Subqueue <T> {
  public full() {
    return this.array.length >= 1000;
  }

  public get size() {
    return this.array.length - this.index;
  }

  public peek(): T {
    return this.array[this.index];
  }

  public last(): T {
    return this.array[this.array.length-1];
  }

  public dequeue(): T {
    return this.array[this.index++];
  }

  public enqueue(elem: T) {
    this.array.push(elem);
  }

  private index: number = 0;
  private array: T [] = [];

  public next: Subqueue<T> = null;
}

class Queue<T> {
  get length() {
    return this._size;
  }

  public push(...elems: T[]) {
    for (let elem of elems) {
      if (this.bottom.full()) {
        this.bottom = this.bottom.next = new Subqueue<T>();
      }
      this.bottom.enqueue(elem);
    }

    this._size += elems.length;
  }

  public shift(): T {
    if (this._size === 0) {
      return undefined;
    }

    const val = this.top.dequeue();
    this._size--;
    if (this._size > 0 && this.top.size === 0 && this.top.full()) {
      // Discard current subqueue and point top to the one after
      this.top = this.top.next;
    }
    return val;
  }

  public peek(): T {
    return this.top.peek();
  }

  public last(): T {
    return this.bottom.last();
  }

  public clear() {
    this.bottom = this.top = new Subqueue();
    this._size = 0;
  }

  private top: Subqueue<T> = new Subqueue();
  private bottom: Subqueue<T> = this.top;
  private _size: number = 0;
}