collections.ts

// Copyright 2013 Basarat Ali Syed. All Rights Reserved.
//
// Licensed under MIT open source license http://opensource.org/licenses/MIT
//
// Orginal javascript code was by Mauricio Santos

/**
 * @namespace Top level namespace for collections, a TypeScript data structure library.
 */
module collections {
    
    var _hasOwnProperty = Object.prototype.hasOwnProperty;
    var has = function(obj, prop) {
        return _hasOwnProperty.call(obj, prop);
    }

    /**
    * Function signature for comparing
    * <0 means a is smaller
    * = 0 means they are equal
    * >0 means a is larger
    */
    export interface ICompareFunction<T>{
        (a: T, b: T): number;
    }

    /**
    * Function signature for checking equality
    */
    export interface IEqualsFunction<T>{
        (a: T, b: T): boolean;
    }

    /**
    * Function signature for Iterations. Return false to break from loop
    */
    export interface ILoopFunction<T>{
        (a: T): boolean;
    }

    /**
     * Default function to compare element order.
     * @function     
     */
    export function defaultCompare<T>(a: T, b: T): number {
        if (a < b) {
            return -1;
        } else if (a === b) {
            return 0;
        } else {
            return 1;
        }
    }

    /**
     * Default function to test equality. 
     * @function     
     */
    export function defaultEquals<T>(a: T, b: T): boolean {
        return a === b;
    }

    /**
     * Default function to convert an object to a string.
     * @function     
     */
    export function defaultToString(item: any): string {
        if (item === null) {
            return 'COLLECTION_NULL';
        } else if (collections.isUndefined(item)) {
            return 'COLLECTION_UNDEFINED';
        } else if (collections.isString(item)) {
            return '$s' + item;
        } else {
            return '$o' + item.toString();
        }
    }

    /**
    * Joins all the properies of the object using the provided join string 
    */
    export function makeString<T>(item: T, join: string = ","): string {
        if (item === null) {
            return 'COLLECTION_NULL';
        } else if (collections.isUndefined(item)) {
            return 'COLLECTION_UNDEFINED';
        } else if (collections.isString(item)) {
            return item.toString();
        } else {
            var toret = "{";
            var first = true;
            for (var prop in item) {
                if (has(item, prop)) {
                    if (first)
                        first = false;
                    else
                        toret = toret + join;
                    toret = toret + prop + ":" + item[prop];
                }
            }
            return toret + "}";
        }
    }

    /**
     * Checks if the given argument is a function.
     * @function     
     */
    export function isFunction(func: any): boolean {
        return (typeof func) === 'function';
    }

    /**
     * Checks if the given argument is undefined.
     * @function
     */
    export function isUndefined(obj: any): boolean {
        return (typeof obj) === 'undefined';
    }

    /**
     * Checks if the given argument is a string.
     * @function
     */
    export function isString(obj: any): boolean {
        return Object.prototype.toString.call(obj) === '[object String]';
    }

    /**
     * Reverses a compare function.
     * @function
     */
    export function reverseCompareFunction<T>(compareFunction: ICompareFunction<T>): ICompareFunction<T> {
        if (!collections.isFunction(compareFunction)) {
            return function (a, b) {
                if (a < b) {
                    return 1;
                } else if (a === b) {
                    return 0;
                } else {
                    return -1;
                }
            };
        } else {
            return function (d: T, v: T) {
                return compareFunction(d, v) * -1;
            };
        }
    }

    /**
     * Returns an equal function given a compare function.
     * @function
     */
    export function compareToEquals<T>(compareFunction: ICompareFunction<T>): IEqualsFunction<T> {
        return function (a: T, b: T) {
            return compareFunction(a, b) === 0;
        };
    }

    /**
     * @namespace Contains various functions for manipulating arrays.
     */
    export module arrays {

        /**
         * Returns the position of the first occurrence of the specified item
         * within the specified array.
         * @param {*} array the array in which to search the element.
         * @param {Object} item the element to search.
         * @param {function(Object,Object):boolean=} equalsFunction optional function used to 
         * check equality between 2 elements.
         * @return {number} the position of the first occurrence of the specified element
         * within the specified array, or -1 if not found.
         */
        export function indexOf<T>(array: T[], item: T, equalsFunction?: collections.IEqualsFunction<T>): number {
            var equals = equalsFunction || collections.defaultEquals;
            var length = array.length;
            for (var i = 0; i < length; i++) {
                if (equals(array[i], item)) {
                    return i;
                }
            }
            return -1;
        }

        /**
         * Returns the position of the last occurrence of the specified element
         * within the specified array.
         * @param {*} array the array in which to search the element.
         * @param {Object} item the element to search.
         * @param {function(Object,Object):boolean=} equalsFunction optional function used to 
         * check equality between 2 elements.
         * @return {number} the position of the last occurrence of the specified element
         * within the specified array or -1 if not found.
         */
        export function lastIndexOf<T>(array: T[], item: T, equalsFunction?: collections.IEqualsFunction<T>): number {
            var equals = equalsFunction || collections.defaultEquals;
            var length = array.length;
            for (var i = length - 1; i >= 0; i--) {
                if (equals(array[i], item)) {
                    return i;
                }
            }
            return -1;
        }

        /**
         * Returns true if the specified array contains the specified element.
         * @param {*} array the array in which to search the element.
         * @param {Object} item the element to search.
         * @param {function(Object,Object):boolean=} equalsFunction optional function to 
         * check equality between 2 elements.
         * @return {boolean} true if the specified array contains the specified element.
         */
        export function contains<T>(array: T[], item: T, equalsFunction?: collections.IEqualsFunction<T>): boolean {
            return arrays.indexOf(array, item, equalsFunction) >= 0;
        }


        /**
         * Removes the first ocurrence of the specified element from the specified array.
         * @param {*} array the array in which to search element.
         * @param {Object} item the element to search.
         * @param {function(Object,Object):boolean=} equalsFunction optional function to 
         * check equality between 2 elements.
         * @return {boolean} true if the array changed after this call.
         */
        export function remove<T>(array: T[], item: T, equalsFunction?: collections.IEqualsFunction<T>): boolean {
            var index = arrays.indexOf(array, item, equalsFunction);
            if (index < 0) {
                return false;
            }
            array.splice(index, 1);
            return true;
        }

        /**
         * Returns the number of elements in the specified array equal
         * to the specified object.
         * @param {Array} array the array in which to determine the frequency of the element.
         * @param {Object} item the element whose frequency is to be determined.
         * @param {function(Object,Object):boolean=} equalsFunction optional function used to 
         * check equality between 2 elements.
         * @return {number} the number of elements in the specified array 
         * equal to the specified object.
         */
        export function frequency<T>(array: T[], item: T, equalsFunction?: collections.IEqualsFunction<T>): number {
            var equals = equalsFunction || collections.defaultEquals;
            var length = array.length;
            var freq = 0;
            for (var i = 0; i < length; i++) {
                if (equals(array[i], item)) {
                    freq++;
                }
            }
            return freq;
        }

        /**
         * Returns true if the two specified arrays are equal to one another.
         * Two arrays are considered equal if both arrays contain the same number
         * of elements, and all corresponding pairs of elements in the two 
         * arrays are equal and are in the same order. 
         * @param {Array} array1 one array to be tested for equality.
         * @param {Array} array2 the other array to be tested for equality.
         * @param {function(Object,Object):boolean=} equalsFunction optional function used to 
         * check equality between elemements in the arrays.
         * @return {boolean} true if the two arrays are equal
         */
        export function equals<T>(array1: T[], array2: T[], equalsFunction?: collections.IEqualsFunction<T>): boolean {
            var equals = equalsFunction || collections.defaultEquals;

            if (array1.length !== array2.length) {
                return false;
            }
            var length = array1.length;
            for (var i = 0; i < length; i++) {
                if (!equals(array1[i], array2[i])) {
                    return false;
                }
            }
            return true;
        }

        /**
         * Returns shallow a copy of the specified array.
         * @param {*} array the array to copy.
         * @return {Array} a copy of the specified array
         */
        export function copy<T>(array: T[]): T[] {
            return array.concat();
        }

        /**
         * Swaps the elements at the specified positions in the specified array.
         * @param {Array} array The array in which to swap elements.
         * @param {number} i the index of one element to be swapped.
         * @param {number} j the index of the other element to be swapped.
         * @return {boolean} true if the array is defined and the indexes are valid.
         */
        export function swap<T>(array: T[], i: number, j: number): boolean {
            if (i < 0 || i >= array.length || j < 0 || j >= array.length) {
                return false;
            }
            var temp = array[i];
            array[i] = array[j];
            array[j] = temp;
            return true;
        }

        export function toString<T>(array: T[]): string {
            return '[' + array.toString() + ']';
        }

        /**
         * Executes the provided function once for each element present in this array 
         * starting from index 0 to length - 1.
         * @param {Array} array The array in which to iterate.
         * @param {function(Object):*} callback function to execute, it is
         * invoked with one argument: the element value, to break the iteration you can 
         * optionally return false.
         */
        export function forEach<T>(array: T[], callback: (item: T) => boolean): void {
            var lenght = array.length;
            for (var i = 0; i < lenght; i++) {
                if (callback(array[i]) === false) {
                    return;
                }
            }
        }
    }


    // A linked list node
    export interface ILinkedListNode<T>{
        element: T;
        next: ILinkedListNode<T>;
    }

    export class LinkedList<T> {

        /**
        * First node in the list
        * @type {Object}
        * @private
        */
        public firstNode: ILinkedListNode<T> = null;
        /**
        * Last node in the list
        * @type {Object}
        * @private
        */
        private lastNode: ILinkedListNode<T> = null;

        /**
        * Number of elements in the list
        * @type {number}
        * @private
        */
        private nElements = 0;

        /**
        * Creates an empty Linked List.
        * @class A linked list is a data structure consisting of a group of nodes
        * which together represent a sequence.
        * @constructor
        */
        constructor() {
        }

        /**
        * Adds an element to this list.
        * @param {Object} item element to be added.
        * @param {number=} index optional index to add the element. If no index is specified
        * the element is added to the end of this list.
        * @return {boolean} true if the element was added or false if the index is invalid
        * or if the element is undefined.
        */
        add(item: T, index?: number): boolean {
            if (collections.isUndefined(index)) {
                index = this.nElements;
            }
            if (index < 0 || index > this.nElements || collections.isUndefined(item)) {
                return false;
            }
            var newNode = this.createNode(item);
            if (this.nElements === 0) {
                // First node in the list.
                this.firstNode = newNode;
                this.lastNode = newNode;
            } else if (index === this.nElements) {
                // Insert at the end.
                this.lastNode.next = newNode;
                this.lastNode = newNode;
            } else if (index === 0) {
                // Change first node.
                newNode.next = this.firstNode;
                this.firstNode = newNode;
            } else {
                var prev = this.nodeAtIndex(index - 1);
                newNode.next = prev.next;
                prev.next = newNode;
            }
            this.nElements++;
            return true;
        }

        /**
        * Returns the first element in this list.
        * @return {*} the first element of the list or undefined if the list is
        * empty.
        */
        first(): T {

            if (this.firstNode !== null) {
                return this.firstNode.element;
            }
            return undefined;
        }

        /**
        * Returns the last element in this list.
        * @return {*} the last element in the list or undefined if the list is
        * empty.
        */
        last(): T {

            if (this.lastNode !== null) {
                return this.lastNode.element;
            }
            return undefined;
        }

        /**
         * Returns the element at the specified position in this list.
         * @param {number} index desired index.
         * @return {*} the element at the given index or undefined if the index is
         * out of bounds.
         */
        elementAtIndex(index: number): T {

            var node = this.nodeAtIndex(index);
            if (node === null) {
                return undefined;
            }
            return node.element;
        }

        /**
         * Returns the index in this list of the first occurrence of the
         * specified element, or -1 if the List does not contain this element.
         * <p>If the elements inside this list are
         * not comparable with the === operator a custom equals function should be
         * provided to perform searches, the function must receive two arguments and
         * return true if they are equal, false otherwise. Example:</p>
         *
         * <pre>
         * var petsAreEqualByName = function(pet1, pet2) {
         *  return pet1.name === pet2.name;
         * }
         * </pre>
         * @param {Object} item element to search for.
         * @param {function(Object,Object):boolean=} equalsFunction Optional
         * function used to check if two elements are equal.
         * @return {number} the index in this list of the first occurrence
         * of the specified element, or -1 if this list does not contain the
         * element.
         */
        indexOf(item: T, equalsFunction?: IEqualsFunction<T>): number {

            var equalsF = equalsFunction || collections.defaultEquals;
            if (collections.isUndefined(item)) {
                return -1;
            }
            var currentNode = this.firstNode;
            var index = 0;
            while (currentNode !== null) {
                if (equalsF(currentNode.element, item)) {
                    return index;
                }
                index++;
                currentNode = currentNode.next;
            }
            return -1;
        }


        /**
           * Returns true if this list contains the specified element.
           * <p>If the elements inside the list are
           * not comparable with the === operator a custom equals function should be
           * provided to perform searches, the function must receive two arguments and
           * return true if they are equal, false otherwise. Example:</p>
           *
           * <pre>
           * var petsAreEqualByName = function(pet1, pet2) {
           *  return pet1.name === pet2.name;
           * }
           * </pre>
           * @param {Object} item element to search for.
           * @param {function(Object,Object):boolean=} equalsFunction Optional
           * function used to check if two elements are equal.
           * @return {boolean} true if this list contains the specified element, false
           * otherwise.
           */
        contains(item: T, equalsFunction?: IEqualsFunction<T>): boolean {
            return (this.indexOf(item, equalsFunction) >= 0);
        }

        /**
         * Removes the first occurrence of the specified element in this list.
         * <p>If the elements inside the list are
         * not comparable with the === operator a custom equals function should be
         * provided to perform searches, the function must receive two arguments and
         * return true if they are equal, false otherwise. Example:</p>
         *
         * <pre>
         * var petsAreEqualByName = function(pet1, pet2) {
         *  return pet1.name === pet2.name;
         * }
         * </pre>
         * @param {Object} item element to be removed from this list, if present.
         * @return {boolean} true if the list contained the specified element.
         */
        remove(item: T, equalsFunction?: IEqualsFunction<T>): boolean {
            var equalsF = equalsFunction || collections.defaultEquals;
            if (this.nElements < 1 || collections.isUndefined(item)) {
                return false;
            }
            var previous: ILinkedListNode<T> = null;
            var currentNode: ILinkedListNode<T> = this.firstNode;

            while (currentNode !== null) {
                if (equalsF(currentNode.element, item)) {

                    if (currentNode === this.firstNode) {
                        this.firstNode = this.firstNode.next;
                        if (currentNode === this.lastNode) {
                            this.lastNode = null;
                        }
                    } else if (currentNode === this.lastNode) {
                        this.lastNode = previous;
                        previous.next = currentNode.next;
                        currentNode.next = null;
                    } else {
                        previous.next = currentNode.next;
                        currentNode.next = null;
                    }
                    this.nElements--;
                    return true;
                }
                previous = currentNode;
                currentNode = currentNode.next;
            }
            return false;
        }

        /**
         * Removes all of the elements from this list.
         */
        clear(): void {
            this.firstNode = null;
            this.lastNode = null;
            this.nElements = 0;
        }

        /**
         * Returns true if this list is equal to the given list.
         * Two lists are equal if they have the same elements in the same order.
         * @param {LinkedList} other the other list.
         * @param {function(Object,Object):boolean=} equalsFunction optional
         * function used to check if two elements are equal. If the elements in the lists
         * are custom objects you should provide a function, otherwise 
         * the === operator is used to check equality between elements.
         * @return {boolean} true if this list is equal to the given list.
         */
        equals(other: LinkedList<T>, equalsFunction?: IEqualsFunction<T>): boolean {
            var eqF = equalsFunction || collections.defaultEquals;
            if (!(other instanceof collections.LinkedList)) {
                return false;
            }
            if (this.size() !== other.size()) {
                return false;
            }
            return this.equalsAux(this.firstNode, other.firstNode, eqF);
        }

        /**
        * @private
        */
        private equalsAux(n1: ILinkedListNode<T>, n2: ILinkedListNode<T>, eqF: IEqualsFunction<T>): boolean {
            while (n1 !== null) {
                if (!eqF(n1.element, n2.element)) {
                    return false;
                }
                n1 = n1.next;
                n2 = n2.next;
            }
            return true;
        }

        /**
         * Removes the element at the specified position in this list.
         * @param {number} index given index.
         * @return {*} removed element or undefined if the index is out of bounds.
         */
        removeElementAtIndex(index: number): T {
            if (index < 0 || index >= this.nElements) {
                return undefined;
            }
            var element: T;
            if (this.nElements === 1) {
                //First node in the list.
                element = this.firstNode.element;
                this.firstNode = null;
                this.lastNode = null;
            } else {
                var previous = this.nodeAtIndex(index - 1);
                if (previous === null) {
                    element = this.firstNode.element;
                    this.firstNode = this.firstNode.next;
                } else if (previous.next === this.lastNode) {
                    element = this.lastNode.element;
                    this.lastNode = previous;
                }
                if (previous !== null) {
                    element = previous.next.element;
                    previous.next = previous.next.next;
                }
            }
            this.nElements--;
            return element;
        }

        /**
         * Executes the provided function once for each element present in this list in order.
         * @param {function(Object):*} callback function to execute, it is
         * invoked with one argument: the element value, to break the iteration you can 
         * optionally return false.
         */
        forEach(callback: (item: T) => boolean): void {
            var currentNode = this.firstNode;
            while (currentNode !== null) {
                if (callback(currentNode.element) === false) {
                    break;
                }
                currentNode = currentNode.next;
            }
        }

        /**
         * Reverses the order of the elements in this linked list (makes the last 
         * element first, and the first element last).
         */
        reverse(): void {
            var previous: ILinkedListNode<T> = null;
            var current: ILinkedListNode<T> = this.firstNode;
            var temp: ILinkedListNode<T> = null;
            while (current !== null) {
                temp = current.next;
                current.next = previous;
                previous = current;
                current = temp;
            }
            temp = this.firstNode;
            this.firstNode = this.lastNode;
            this.lastNode = temp;
        }

        /**
         * Returns an array containing all of the elements in this list in proper
         * sequence.
         * @return {Array.<*>} an array containing all of the elements in this list,
         * in proper sequence.
         */
        toArray(): T[] {
            var array: T[] = [];
            var currentNode: ILinkedListNode<T> = this.firstNode;
            while (currentNode !== null) {
                array.push(currentNode.element);
                currentNode = currentNode.next;
            }
            return array;
        }

        /**
         * Returns the number of elements in this list.
         * @return {number} the number of elements in this list.
         */
        size(): number {
            return this.nElements;
        }

        /**
         * Returns true if this list contains no elements.
         * @return {boolean} true if this list contains no elements.
         */
        isEmpty(): boolean {
            return this.nElements <= 0;
        }

        toString(): string {
            return collections.arrays.toString(this.toArray());
        }

        /**
         * @private
         */
        private nodeAtIndex(index: number): ILinkedListNode<T> {

            if (index < 0 || index >= this.nElements) {
                return null;
            }
            if (index === (this.nElements - 1)) {
                return this.lastNode;
            }
            var node = this.firstNode;
            for (var i = 0; i < index; i++) {
                node = node.next;
            }
            return node;
        }

        /**
         * @private
         */
        private createNode(item: T): ILinkedListNode<T> {
            return {
                element: item,
                next: null
            };
        }
    } // End of linked list 



    // Used internally by dictionary 
    interface IDictionaryPair<K, V>{
        key: K;
        value: V;
    }

    export class Dictionary<K, V>{

        /**
         * Object holding the key-value pairs.
         * @type {Object}
         * @private
         */
        private table: { [key: string]: IDictionaryPair<K, V> };
        //: [key: K] will not work since indices can only by strings in javascript and typescript enforces this. 

        /**
         * Number of elements in the list.
         * @type {number}
         * @private
         */
        private nElements: number;

        /**
         * Function used to convert keys to strings.
         * @type {function(Object):string}
         * @private
         */
        private toStr: (key: K) => string;


        /**
         * Creates an empty dictionary. 
         * @class <p>Dictionaries map keys to values; each key can map to at most one value.
         * This implementation accepts any kind of objects as keys.</p>
         *
         * <p>If the keys are custom objects a function which converts keys to unique
         * strings must be provided. Example:</p>
         * <pre>
         * function petToString(pet) {
         *  return pet.name;
         * }
         * </pre>
         * @constructor
         * @param {function(Object):string=} toStrFunction optional function used
         * to convert keys to strings. If the keys aren't strings or if toString()
         * is not appropriate, a custom function which receives a key and returns a
         * unique string must be provided.
         */
        constructor(toStrFunction?: (key: K) => string) {
            this.table = {};
            this.nElements = 0;
            this.toStr = toStrFunction || collections.defaultToString;
        }


        /**
         * Returns the value to which this dictionary maps the specified key.
         * Returns undefined if this dictionary contains no mapping for this key.
         * @param {Object} key key whose associated value is to be returned.
         * @return {*} the value to which this dictionary maps the specified key or
         * undefined if the map contains no mapping for this key.
         */
        getValue(key: K): V {
            var pair: IDictionaryPair<K, V> = this.table['$' + this.toStr(key)];
            if (collections.isUndefined(pair)) {
                return undefined;
            }
            return pair.value;
        }


        /**
         * Associates the specified value with the specified key in this dictionary.
         * If the dictionary previously contained a mapping for this key, the old
         * value is replaced by the specified value.
         * @param {Object} key key with which the specified value is to be
         * associated.
         * @param {Object} value value to be associated with the specified key.
         * @return {*} previous value associated with the specified key, or undefined if
         * there was no mapping for the key or if the key/value are undefined.
         */
        setValue(key: K, value: V): V {

            if (collections.isUndefined(key) || collections.isUndefined(value)) {
                return undefined;
            }

            var ret: V;
            var k = '$' + this.toStr(key);
            var previousElement: IDictionaryPair<K, V> = this.table[k];
            if (collections.isUndefined(previousElement)) {
                this.nElements++;
                ret = undefined;
            } else {
                ret = previousElement.value;
            }
            this.table[k] = {
                key: key,
                value: value
            };
            return ret;
        }

        /**
         * Removes the mapping for this key from this dictionary if it is present.
         * @param {Object} key key whose mapping is to be removed from the
         * dictionary.
         * @return {*} previous value associated with specified key, or undefined if
         * there was no mapping for key.
         */
        remove(key: K): V {
            var k = '$' + this.toStr(key);
            var previousElement: IDictionaryPair<K, V> = this.table[k];
            if (!collections.isUndefined(previousElement)) {
                delete this.table[k];
                this.nElements--;
                return previousElement.value;
            }
            return undefined;
        }

        /**
         * Returns an array containing all of the keys in this dictionary.
         * @return {Array} an array containing all of the keys in this dictionary.
         */
        keys(): K[] {
            var array: K[] = [];
            for (var name in this.table) {
                if (has(this.table, name)) {
                    var pair: IDictionaryPair<K, V> = this.table[name];
                    array.push(pair.key);
                }
            }
            return array;
        }

        /**
         * Returns an array containing all of the values in this dictionary.
         * @return {Array} an array containing all of the values in this dictionary.
         */
        values(): V[] {
            var array: V[] = [];
            for (var name in this.table) {
                if (has(this.table, name)) {
                    var pair: IDictionaryPair<K, V> = this.table[name];
                    array.push(pair.value);
                }
            }
            return array;
        }

        /**
        * Executes the provided function once for each key-value pair 
        * present in this dictionary.
        * @param {function(Object,Object):*} callback function to execute, it is
        * invoked with two arguments: key and value. To break the iteration you can 
        * optionally return false.
        */
        forEach(callback: (key: K, value: V) => any): void {
            for (var name in this.table) {
                if (has(this.table, name)) {
                    var pair: IDictionaryPair<K, V> = this.table[name];
                    var ret = callback(pair.key, pair.value);
                    if (ret === false) {
                        return;
                    }
                }
            }
        }

        /**
         * Returns true if this dictionary contains a mapping for the specified key.
         * @param {Object} key key whose presence in this dictionary is to be
         * tested.
         * @return {boolean} true if this dictionary contains a mapping for the
         * specified key.
         */
        containsKey(key: K): boolean {
            return !collections.isUndefined(this.getValue(key));
        }

        /**
        * Removes all mappings from this dictionary.
        * @this {collections.Dictionary}
        */
        clear() {

            this.table = {};
            this.nElements = 0;
        }

        /**
         * Returns the number of keys in this dictionary.
         * @return {number} the number of key-value mappings in this dictionary.
         */
        size(): number {
            return this.nElements;
        }

        /**
         * Returns true if this dictionary contains no mappings.
         * @return {boolean} true if this dictionary contains no mappings.
         */
        isEmpty(): boolean {
            return this.nElements <= 0;
        }

        toString(): string {
            var toret = "{";
            this.forEach((k, v) => {
                toret = toret + "\n\t" + k.toString() + " : " + v.toString();
            });
            return toret + "\n}";
        }
    } // End of dictionary

    // /**
    //  * Returns true if this dictionary is equal to the given dictionary.
    //  * Two dictionaries are equal if they contain the same mappings.
    //  * @param {collections.Dictionary} other the other dictionary.
    //  * @param {function(Object,Object):boolean=} valuesEqualFunction optional
    //  * function used to check if two values are equal.
    //  * @return {boolean} true if this dictionary is equal to the given dictionary.
    //  */
    // collections.Dictionary.prototype.equals = function(other,valuesEqualFunction) {
    // 	var eqF = valuesEqualFunction || collections.defaultEquals;
    // 	if(!(other instanceof collections.Dictionary)){
    // 		return false;
    // 	}
    // 	if(this.size() !== other.size()){
    // 		return false;
    // 	}
    // 	return this.equalsAux(this.firstNode,other.firstNode,eqF);
    // }



    export class MultiDictionary<K, V> {

        // Cannot do: 
        // class MultiDictionary<K,V> extends Dictionary<K,Array<V>> {
        // Since we want to reuse the function name setValue and types in signature become incompatible 
        // Therefore we are using composition instead of inheritance
        private dict: Dictionary<K, Array<V>>;
        private equalsF: IEqualsFunction<V>;
        private allowDuplicate: boolean;

      /**
       * Creates an empty multi dictionary.
       * @class <p>A multi dictionary is a special kind of dictionary that holds
       * multiple values against each key. Setting a value into the dictionary will
       * add the value to an array at that key. Getting a key will return an array,
       * holding all the values set to that key.
       * You can configure to allow duplicates in the values.
       * This implementation accepts any kind of objects as keys.</p>
       *
       * <p>If the keys are custom objects a function which converts keys to strings must be
       * provided. Example:</p>
       *
       * <pre>
       * function petToString(pet) {
         *  return pet.name;
         * }
       * </pre>
       * <p>If the values are custom objects a function to check equality between values
       * must be provided. Example:</p>
       *
       * <pre>
       * function petsAreEqualByAge(pet1,pet2) {
         *  return pet1.age===pet2.age;
         * }
       * </pre>
       * @constructor
       * @param {function(Object):string=} toStrFunction optional function
       * to convert keys to strings. If the keys aren't strings or if toString()
       * is not appropriate, a custom function which receives a key and returns a
       * unique string must be provided.
       * @param {function(Object,Object):boolean=} valuesEqualsFunction optional
       * function to check if two values are equal.
       *
       * @param allowDuplicateValues
       */
        constructor(toStrFunction?: (key: K) => string, valuesEqualsFunction?: IEqualsFunction<V>, allowDuplicateValues = false) {
            this.dict = new Dictionary<K, Array<V>>(toStrFunction);
            this.equalsF = valuesEqualsFunction || collections.defaultEquals;
            this.allowDuplicate = allowDuplicateValues;
        }
        /**
        * Returns an array holding the values to which this dictionary maps
        * the specified key.
        * Returns an empty array if this dictionary contains no mappings for this key.
        * @param {Object} key key whose associated values are to be returned.
        * @return {Array} an array holding the values to which this dictionary maps
        * the specified key.
        */
        getValue(key: K): V[] {
            var values = this.dict.getValue(key);
            if (collections.isUndefined(values)) {
                return [];
            }
            return collections.arrays.copy(values);
        }

        /**
         * Adds the value to the array associated with the specified key, if 
         * it is not already present.
         * @param {Object} key key with which the specified value is to be
         * associated.
         * @param {Object} value the value to add to the array at the key
         * @return {boolean} true if the value was not already associated with that key.
         */
        setValue(key: K, value: V): boolean {

            if (collections.isUndefined(key) || collections.isUndefined(value)) {
                return false;
            }
            if (!this.containsKey(key)) {
                this.dict.setValue(key, [value]);
                return true;
            }
            var array = this.dict.getValue(key);
            if (!this.allowDuplicate) {
                if (collections.arrays.contains(array, value, this.equalsF)) {
                    return false;
                }
            }
            array.push(value);
            return true;
        }

        /**
         * Removes the specified values from the array of values associated with the
         * specified key. If a value isn't given, all values associated with the specified 
         * key are removed.
         * @param {Object} key key whose mapping is to be removed from the
         * dictionary.
         * @param {Object=} value optional argument to specify the value to remove 
         * from the array associated with the specified key.
         * @return {*} true if the dictionary changed, false if the key doesn't exist or 
         * if the specified value isn't associated with the specified key.
         */
        remove(key: K, value?: V): boolean {
            if (collections.isUndefined(value)) {
                var v = this.dict.remove(key);
                return !collections.isUndefined(v);
            }
            var array = this.dict.getValue(key);
            if (collections.arrays.remove(array, value, this.equalsF)) {
                if (array.length === 0) {
                    this.dict.remove(key);
                }
                return true;
            }
            return false;
        }

        /**
         * Returns an array containing all of the keys in this dictionary.
         * @return {Array} an array containing all of the keys in this dictionary.
         */
        keys(): K[] {
            return this.dict.keys();
        }

        /**
         * Returns an array containing all of the values in this dictionary.
         * @return {Array} an array containing all of the values in this dictionary.
         */
        values(): V[] {
            var values = this.dict.values();
            var array:Array<V> = [];
            for (var i = 0; i < values.length; i++) {
                var v = values[i];
                for (var j = 0; j < v.length; j++) {
                    array.push(v[j]);
                }
            }
            return array;
        }

        /**
         * Returns true if this dictionary at least one value associatted the specified key.
         * @param {Object} key key whose presence in this dictionary is to be
         * tested.
         * @return {boolean} true if this dictionary at least one value associatted 
         * the specified key.
         */
        containsKey(key: K): boolean {
            return this.dict.containsKey(key);
        }

        /**
         * Removes all mappings from this dictionary.
         */
        clear(): void {
            this.dict.clear();
        }

        /**
         * Returns the number of keys in this dictionary.
         * @return {number} the number of key-value mappings in this dictionary.
         */
        size(): number {
            return this.dict.size();
        }

        /**
         * Returns true if this dictionary contains no mappings.
         * @return {boolean} true if this dictionary contains no mappings.
         */
        isEmpty(): boolean {
            return this.dict.isEmpty();
        }
    }// end of multi dictionary 

    export class Heap<T> {
        /**
         * Array used to store the elements od the heap.
         * @type {Array.<Object>}
         * @private
         */
        private data: T[] = [];
        /**
         * Function used to compare elements.
         * @type {function(Object,Object):number}
         * @private
         */
        private compare: ICompareFunction<T>;
        /**
         * Creates an empty Heap.
         * @class 
         * <p>A heap is a binary tree, where the nodes maintain the heap property: 
         * each node is smaller than each of its children and therefore a MinHeap 
         * This implementation uses an array to store elements.</p>
         * <p>If the inserted elements are custom objects a compare function must be provided, 
         *  at construction time, otherwise the <=, === and >= operators are 
         * used to compare elements. Example:</p>
         *
         * <pre>
         * function compare(a, b) {
         *  if (a is less than b by some ordering criterion) {
         *     return -1;
         *  } if (a is greater than b by the ordering criterion) {
         *     return 1;
         *  } 
         *  // a must be equal to b
         *  return 0;
         * }
         * </pre>
         *
         * <p>If a Max-Heap is wanted (greater elements on top) you can a provide a
         * reverse compare function to accomplish that behavior. Example:</p>
         *
         * <pre>
         * function reverseCompare(a, b) {
         *  if (a is less than b by some ordering criterion) {
         *     return 1;
         *  } if (a is greater than b by the ordering criterion) {
         *     return -1;
         *  } 
         *  // a must be equal to b
         *  return 0;
         * }
         * </pre>
         *
         * @constructor
         * @param {function(Object,Object):number=} compareFunction optional
         * function used to compare two elements. Must return a negative integer,
         * zero, or a positive integer as the first argument is less than, equal to,
         * or greater than the second.
         */
        constructor(compareFunction?: ICompareFunction<T>) {
            this.compare = compareFunction || collections.defaultCompare;
        }

        /**
         * Returns the index of the left child of the node at the given index.
         * @param {number} nodeIndex The index of the node to get the left child
         * for.
         * @return {number} The index of the left child.
         * @private
         */
        private leftChildIndex(nodeIndex: number): number {
            return (2 * nodeIndex) + 1;
        }
        /**
         * Returns the index of the right child of the node at the given index.
         * @param {number} nodeIndex The index of the node to get the right child
         * for.
         * @return {number} The index of the right child.
         * @private
         */
        private rightChildIndex(nodeIndex: number): number {
            return (2 * nodeIndex) + 2;
        }
        /**
         * Returns the index of the parent of the node at the given index.
         * @param {number} nodeIndex The index of the node to get the parent for.
         * @return {number} The index of the parent.
         * @private
         */
        private parentIndex(nodeIndex: number): number {
            return Math.floor((nodeIndex - 1) / 2);
        }
        /**
         * Returns the index of the smaller child node (if it exists).
         * @param {number} leftChild left child index.
         * @param {number} rightChild right child index.
         * @return {number} the index with the minimum value or -1 if it doesn't
         * exists.
         * @private
         */
        private minIndex(leftChild: number, rightChild: number): number {

            if (rightChild >= this.data.length) {
                if (leftChild >= this.data.length) {
                    return -1;
                } else {
                    return leftChild;
                }
            } else {
                if (this.compare(this.data[leftChild], this.data[rightChild]) <= 0) {
                    return leftChild;
                } else {
                    return rightChild;
                }
            }
        }
        /**
         * Moves the node at the given index up to its proper place in the heap.
         * @param {number} index The index of the node to move up.
         * @private
         */
        private siftUp(index: number): void {

            var parent = this.parentIndex(index);
            while (index > 0 && this.compare(this.data[parent], this.data[index]) > 0) {
                collections.arrays.swap(this.data, parent, index);
                index = parent;
                parent = this.parentIndex(index);
            }
        }
        /**
         * Moves the node at the given index down to its proper place in the heap.
         * @param {number} nodeIndex The index of the node to move down.
         * @private
         */
        private siftDown(nodeIndex: number): void {

            //smaller child index
            var min = this.minIndex(this.leftChildIndex(nodeIndex),
                this.rightChildIndex(nodeIndex));

            while (min >= 0 && this.compare(this.data[nodeIndex],
                this.data[min]) > 0) {
                collections.arrays.swap(this.data, min, nodeIndex);
                nodeIndex = min;
                min = this.minIndex(this.leftChildIndex(nodeIndex),
                    this.rightChildIndex(nodeIndex));
            }
        }
        /**
         * Retrieves but does not remove the root element of this heap.
         * @return {*} The value at the root of the heap. Returns undefined if the
         * heap is empty.
         */
        peek(): T {

            if (this.data.length > 0) {
                return this.data[0];
            } else {
                return undefined;
            }
        }
        /**
         * Adds the given element into the heap.
         * @param {*} element the element.
         * @return true if the element was added or fals if it is undefined.
         */
        add(element: T): boolean {
            if (collections.isUndefined(element)) {
                return undefined;
            }
            this.data.push(element);
            this.siftUp(this.data.length - 1);
            return true;
        }

        /**
         * Retrieves and removes the root element of this heap.
         * @return {*} The value removed from the root of the heap. Returns
         * undefined if the heap is empty.
         */
        removeRoot(): T {

            if (this.data.length > 0) {
                var obj = this.data[0];
                this.data[0] = this.data[this.data.length - 1];
                this.data.splice(this.data.length - 1, 1);
                if (this.data.length > 0) {
                    this.siftDown(0);
                }
                return obj;
            }
            return undefined;
        }
        /**
         * Returns true if this heap contains the specified element.
         * @param {Object} element element to search for.
         * @return {boolean} true if this Heap contains the specified element, false
         * otherwise.
         */
        contains(element: T): boolean {
            var equF = collections.compareToEquals(this.compare);
            return collections.arrays.contains(this.data, element, equF);
        }
        /**
         * Returns the number of elements in this heap.
         * @return {number} the number of elements in this heap.
         */
        size(): number {
            return this.data.length;
        }
        /**
         * Checks if this heap is empty.
         * @return {boolean} true if and only if this heap contains no items; false
         * otherwise.
         */
        isEmpty(): boolean {
            return this.data.length <= 0;
        }
        /**
         * Removes all of the elements from this heap.
         */
        clear(): void {
            this.data.length = 0;
        }

        /**
         * Executes the provided function once for each element present in this heap in 
         * no particular order.
         * @param {function(Object):*} callback function to execute, it is
         * invoked with one argument: the element value, to break the iteration you can 
         * optionally return false.
         */
        forEach(callback: (item: T) => boolean) {
            collections.arrays.forEach(this.data, callback);
        }
    }

    export class Stack<T> {
        /**
         * List containing the elements.
         * @type collections.LinkedList
         * @private
         */
        private list: LinkedList<T>;
        /**
         * Creates an empty Stack.
         * @class A Stack is a Last-In-First-Out (LIFO) data structure, the last
         * element added to the stack will be the first one to be removed. This
         * implementation uses a linked list as a container.
         * @constructor
         */
        constructor() {
            this.list = new LinkedList<T>();
        }

        /**
         * Pushes an item onto the top of this stack.
         * @param {Object} elem the element to be pushed onto this stack.
         * @return {boolean} true if the element was pushed or false if it is undefined.
         */
        push(elem: T) {
            return this.list.add(elem, 0);
        }
        /**
         * Pushes an item onto the top of this stack.
         * @param {Object} elem the element to be pushed onto this stack.
         * @return {boolean} true if the element was pushed or false if it is undefined.
         */
        add(elem: T) {
            return this.list.add(elem, 0);
        }
        /**
         * Removes the object at the top of this stack and returns that object.
         * @return {*} the object at the top of this stack or undefined if the
         * stack is empty.
         */
        pop(): T {
            return this.list.removeElementAtIndex(0);
        }
        /**
         * Looks at the object at the top of this stack without removing it from the
         * stack.
         * @return {*} the object at the top of this stack or undefined if the
         * stack is empty.
         */
        peek(): T {
            return this.list.first();
        }
        /**
         * Returns the number of elements in this stack.
         * @return {number} the number of elements in this stack.
         */
        size(): number {
            return this.list.size();
        }

        /**
         * Returns true if this stack contains the specified element.
         * <p>If the elements inside this stack are
         * not comparable with the === operator, a custom equals function should be
         * provided to perform searches, the function must receive two arguments and
         * return true if they are equal, false otherwise. Example:</p>
         *
         * <pre>
         * var petsAreEqualByName (pet1, pet2) {
         *  return pet1.name === pet2.name;
         * }
         * </pre>
         * @param {Object} elem element to search for.
         * @param {function(Object,Object):boolean=} equalsFunction optional
         * function to check if two elements are equal.
         * @return {boolean} true if this stack contains the specified element,
         * false otherwise.
         */
        contains(elem: T, equalsFunction?: IEqualsFunction<T>) {
            return this.list.contains(elem, equalsFunction);
        }
        /**
         * Checks if this stack is empty.
         * @return {boolean} true if and only if this stack contains no items; false
         * otherwise.
         */
        isEmpty(): boolean {
            return this.list.isEmpty();
        }
        /**
         * Removes all of the elements from this stack.
         */
        clear(): void {
            this.list.clear();
        }

        /**
         * Executes the provided function once for each element present in this stack in 
         * LIFO order.
         * @param {function(Object):*} callback function to execute, it is
         * invoked with one argument: the element value, to break the iteration you can 
         * optionally return false.
         */
        forEach(callback: ILoopFunction<T>) {
            this.list.forEach(callback);
        }
    } // End of stack 



    export class Queue<T>{

        /**
         * List containing the elements.
         * @type collections.LinkedList
         * @private
         */
        private list: LinkedList<T>;

        /**
         * Creates an empty queue.
         * @class A queue is a First-In-First-Out (FIFO) data structure, the first
         * element added to the queue will be the first one to be removed. This
         * implementation uses a linked list as a container.
         * @constructor
         */
        constructor() {
            this.list = new LinkedList<T>();
        }


        /**
         * Inserts the specified element into the end of this queue.
         * @param {Object} elem the element to insert.
         * @return {boolean} true if the element was inserted, or false if it is undefined.
         */
        enqueue(elem: T): boolean {
            return this.list.add(elem);
        }
        /**
         * Inserts the specified element into the end of this queue.
         * @param {Object} elem the element to insert.
         * @return {boolean} true if the element was inserted, or false if it is undefined.
         */
        add(elem: T): boolean {
            return this.list.add(elem);
        }
        /**
         * Retrieves and removes the head of this queue.
         * @return {*} the head of this queue, or undefined if this queue is empty.
         */
        dequeue(): T {
            if (this.list.size() !== 0) {
                var el = this.list.first();
                this.list.removeElementAtIndex(0);
                return el;
            }
            return undefined;
        }
        /**
         * Retrieves, but does not remove, the head of this queue.
         * @return {*} the head of this queue, or undefined if this queue is empty.
         */
        peek(): T {

            if (this.list.size() !== 0) {
                return this.list.first();
            }
            return undefined;
        }

        /**
         * Returns the number of elements in this queue.
         * @return {number} the number of elements in this queue.
         */
        size(): number {
            return this.list.size();
        }

        /**
         * Returns true if this queue contains the specified element.
         * <p>If the elements inside this stack are
         * not comparable with the === operator, a custom equals function should be
         * provided to perform searches, the function must receive two arguments and
         * return true if they are equal, false otherwise. Example:</p>
         *
         * <pre>
         * var petsAreEqualByName (pet1, pet2) {
         *  return pet1.name === pet2.name;
         * }
         * </pre>
         * @param {Object} elem element to search for.
         * @param {function(Object,Object):boolean=} equalsFunction optional
         * function to check if two elements are equal.
         * @return {boolean} true if this queue contains the specified element,
         * false otherwise.
         */
        contains(elem: T, equalsFunction?: IEqualsFunction<T>): boolean {
            return this.list.contains(elem, equalsFunction);
        }

        /**
         * Checks if this queue is empty.
         * @return {boolean} true if and only if this queue contains no items; false
         * otherwise.
         */
        isEmpty(): boolean {
            return this.list.size() <= 0;
        }

        /**
         * Removes all of the elements from this queue.
         */
        clear(): void {
            this.list.clear();
        }

        /**
         * Executes the provided function once for each element present in this queue in 
         * FIFO order.
         * @param {function(Object):*} callback function to execute, it is
         * invoked with one argument: the element value, to break the iteration you can 
         * optionally return false.
         */
        forEach(callback: ILoopFunction<T>) {
            this.list.forEach(callback);
        }

    } // End of queue


    export class PriorityQueue<T> {

        private heap: Heap<T>;
        /**
         * Creates an empty priority queue.
         * @class <p>In a priority queue each element is associated with a "priority",
         * elements are dequeued in highest-priority-first order (the elements with the 
         * highest priority are dequeued first). Priority Queues are implemented as heaps. 
         * If the inserted elements are custom objects a compare function must be provided, 
         * otherwise the <=, === and >= operators are used to compare object priority.</p>
         * <pre>
         * function compare(a, b) {
         *  if (a is less than b by some ordering criterion) {
         *     return -1;
         *  } if (a is greater than b by the ordering criterion) {
         *     return 1;
         *  } 
         *  // a must be equal to b
         *  return 0;
         * }
         * </pre>
         * @constructor
         * @param {function(Object,Object):number=} compareFunction optional
         * function used to compare two element priorities. Must return a negative integer,
         * zero, or a positive integer as the first argument is less than, equal to,
         * or greater than the second.
         */
        constructor(compareFunction?: ICompareFunction<T>) {
            this.heap = new Heap<T>(collections.reverseCompareFunction(compareFunction));
        }

        /**
         * Inserts the specified element into this priority queue.
         * @param {Object} element the element to insert.
         * @return {boolean} true if the element was inserted, or false if it is undefined.
         */
        enqueue(element: T): boolean {
            return this.heap.add(element);
        }

        /**
         * Inserts the specified element into this priority queue.
         * @param {Object} element the element to insert.
         * @return {boolean} true if the element was inserted, or false if it is undefined.
         */
        add(element: T): boolean {
            return this.heap.add(element);
        }

        /**
         * Retrieves and removes the highest priority element of this queue.
         * @return {*} the the highest priority element of this queue, 
         *  or undefined if this queue is empty.
         */
        dequeue(): T {
            if (this.heap.size() !== 0) {
                var el = this.heap.peek();
                this.heap.removeRoot();
                return el;
            }
            return undefined;
        }

        /**
         * Retrieves, but does not remove, the highest priority element of this queue.
         * @return {*} the highest priority element of this queue, or undefined if this queue is empty.
         */
        peek(): T {
            return this.heap.peek();
        }

        /**
         * Returns true if this priority queue contains the specified element.
         * @param {Object} element element to search for.
         * @return {boolean} true if this priority queue contains the specified element,
         * false otherwise.
         */
        contains(element: T): boolean {
            return this.heap.contains(element);
        }

        /**
         * Checks if this priority queue is empty.
         * @return {boolean} true if and only if this priority queue contains no items; false
         * otherwise.
         */
        isEmpty(): boolean {
            return this.heap.isEmpty();
        }

        /**
         * Returns the number of elements in this priority queue.
         * @return {number} the number of elements in this priority queue.
         */
        size(): number {
            return this.heap.size();
        }

        /**
         * Removes all of the elements from this priority queue.
         */
        clear(): void {
            this.heap.clear();
        }

        /**
         * Executes the provided function once for each element present in this queue in 
         * no particular order.
         * @param {function(Object):*} callback function to execute, it is
         * invoked with one argument: the element value, to break the iteration you can 
         * optionally return false.
         */
        forEach(callback: ILoopFunction<T>) {
            this.heap.forEach(callback);
        }

    } // end of priority queue




    export class Set<T>{
        private dictionary: Dictionary<T, any>;

        /**
         * Creates an empty set.
         * @class <p>A set is a data structure that contains no duplicate items.</p>
         * <p>If the inserted elements are custom objects a function 
         * which converts elements to strings must be provided. Example:</p>
         *
         * <pre>
         * function petToString(pet) {
         *  return pet.name;
         * }
         * </pre>
         *
         * @constructor
         * @param {function(Object):string=} toStringFunction optional function used
         * to convert elements to strings. If the elements aren't strings or if toString()
         * is not appropriate, a custom function which receives a onject and returns a
         * unique string must be provided.
         */
        constructor(toStringFunction?: (item: T) => string) {
            this.dictionary = new Dictionary<T, any>(toStringFunction);
        }



        /**
         * Returns true if this set contains the specified element.
         * @param {Object} element element to search for.
         * @return {boolean} true if this set contains the specified element,
         * false otherwise.
         */
        contains(element: T): boolean {
            return this.dictionary.containsKey(element);
        }

        /**
         * Adds the specified element to this set if it is not already present.
         * @param {Object} element the element to insert.
         * @return {boolean} true if this set did not already contain the specified element.
         */
        add(element: T): boolean {
            if (this.contains(element) || collections.isUndefined(element)) {
                return false;
            } else {
                this.dictionary.setValue(element, element);
                return true;
            }
        }

        /**
         * Performs an intersecion between this an another set.
         * Removes all values that are not present this set and the given set.
         * @param {collections.Set} otherSet other set.
         */
        intersection(otherSet: Set<T>): void {
            var set = this;
            this.forEach(function (element: T): boolean {
                if (!otherSet.contains(element)) {
                    set.remove(element);
                }
                return true;
            });
        }

        /**
         * Performs a union between this an another set.
         * Adds all values from the given set to this set.
         * @param {collections.Set} otherSet other set.
         */
        union(otherSet: Set<T>): void {
            var set = this;
            otherSet.forEach(function (element: T): boolean {
                set.add(element);
                return true;
            });
        }

        /**
         * Performs a difference between this an another set.
         * Removes from this set all the values that are present in the given set.
         * @param {collections.Set} otherSet other set.
         */
        difference(otherSet: Set<T>): void {
            var set = this;
            otherSet.forEach(function (element: T): boolean {
                set.remove(element);
                return true;
            });
        }

        /**
         * Checks whether the given set contains all the elements in this set.
         * @param {collections.Set} otherSet other set.
         * @return {boolean} true if this set is a subset of the given set.
         */
        isSubsetOf(otherSet: Set<T>): boolean {

            if (this.size() > otherSet.size()) {
                return false;
            }

            var isSub = true;
            this.forEach(function (element) {
                if (!otherSet.contains(element)) {
                    isSub = false;
                    return false;
                }
            return true;
            });
            return isSub;
        }

        /**
         * Removes the specified element from this set if it is present.
         * @return {boolean} true if this set contained the specified element.
         */
        remove(element: T): boolean {
            if (!this.contains(element)) {
                return false;
            } else {
                this.dictionary.remove(element);
                return true;
            }
        }

        /**
         * Executes the provided function once for each element 
         * present in this set.
         * @param {function(Object):*} callback function to execute, it is
         * invoked with one arguments: the element. To break the iteration you can 
         * optionally return false.
         */
        forEach(callback: ILoopFunction<T>): void {
            this.dictionary.forEach(function (k, v) {
                return callback(v);
            });
        }

        /**
         * Returns an array containing all of the elements in this set in arbitrary order.
         * @return {Array} an array containing all of the elements in this set.
         */
        toArray(): T[] {
            return this.dictionary.values();
        }

        /**
         * Returns true if this set contains no elements.
         * @return {boolean} true if this set contains no elements.
         */
        isEmpty(): boolean {
            return this.dictionary.isEmpty();
        }

        /**
         * Returns the number of elements in this set.
         * @return {number} the number of elements in this set.
         */
        size(): number {
            return this.dictionary.size();
        }

        /**
         * Removes all of the elements from this set.
         */
        clear(): void {
            this.dictionary.clear();
        }

        /*
        * Provides a string representation for display
        */
        toString(): string {
            return collections.arrays.toString(this.toArray());
        }
    }// end of Set

    export class Bag<T>{

        private toStrF: (item: T) => string;
        private dictionary: Dictionary<T, any>;
        private nElements: number;

        /**
         * Creates an empty bag.
         * @class <p>A bag is a special kind of set in which members are 
         * allowed to appear more than once.</p>
         * <p>If the inserted elements are custom objects a function 
         * which converts elements to unique strings must be provided. Example:</p>
         *
         * <pre>
         * function petToString(pet) {
         *  return pet.name;
         * }
         * </pre>
         *
         * @constructor
         * @param {function(Object):string=} toStrFunction optional function used
         * to convert elements to strings. If the elements aren't strings or if toString()
         * is not appropriate, a custom function which receives an object and returns a
         * unique string must be provided.
         */
        constructor(toStrFunction?: (item: T) => string) {
            this.toStrF = toStrFunction || collections.defaultToString;
            this.dictionary = new Dictionary<T, any>(this.toStrF);
            this.nElements = 0;
        }


        /**
        * Adds nCopies of the specified object to this bag.
        * @param {Object} element element to add.
        * @param {number=} nCopies the number of copies to add, if this argument is
        * undefined 1 copy is added.
        * @return {boolean} true unless element is undefined.
        */
        add(element: T, nCopies: number= 1): boolean {

            if (collections.isUndefined(element) || nCopies <= 0) {
                return false;
            }

            if (!this.contains(element)) {
                var node = {
                    value: element,
                    copies: nCopies
                };
                this.dictionary.setValue(element, node);
            } else {
                this.dictionary.getValue(element).copies += nCopies;
            }
            this.nElements += nCopies;
            return true;
        }

        /**
        * Counts the number of copies of the specified object in this bag.
        * @param {Object} element the object to search for..
        * @return {number} the number of copies of the object, 0 if not found
        */
        count(element: T): number {

            if (!this.contains(element)) {
                return 0;
            } else {
                return this.dictionary.getValue(element).copies;
            }
        }

        /**
         * Returns true if this bag contains the specified element.
         * @param {Object} element element to search for.
         * @return {boolean} true if this bag contains the specified element,
         * false otherwise.
         */
        contains(element: T): boolean {
            return this.dictionary.containsKey(element);
        }

        /**
        * Removes nCopies of the specified object to this bag.
        * If the number of copies to remove is greater than the actual number 
        * of copies in the Bag, all copies are removed. 
        * @param {Object} element element to remove.
        * @param {number=} nCopies the number of copies to remove, if this argument is
        * undefined 1 copy is removed.
        * @return {boolean} true if at least 1 element was removed.
        */
        remove(element: T, nCopies: number = 1) {

            if (collections.isUndefined(element) || nCopies <= 0) {
                return false;
            }

            if (!this.contains(element)) {
                return false;
            } else {
                var node = this.dictionary.getValue(element);
                if (nCopies > node.copies) {
                    this.nElements -= node.copies;
                } else {
                    this.nElements -= nCopies;
                }
                node.copies -= nCopies;
                if (node.copies <= 0) {
                    this.dictionary.remove(element);
                }
                return true;
            }
        }

        /**
         * Returns an array containing all of the elements in this big in arbitrary order, 
         * including multiple copies.
         * @return {Array} an array containing all of the elements in this bag.
         */
        toArray(): T[] {
            var a:Array<T> = [];
            var values = this.dictionary.values();
            var vl = values.length;
            for (var i = 0; i < vl; i++) {
                var node = values[i];
                var element = node.value;
                var copies = node.copies;
                for (var j = 0; j < copies; j++) {
                    a.push(element);
                }
            }
            return a;
        }

        /**
         * Returns a set of unique elements in this bag. 
         * @return {collections.Set<T>} a set of unique elements in this bag.
         */
        toSet(): Set<T> {
            var toret = new Set<T>(this.toStrF);
            var elements = this.dictionary.values();
            var l = elements.length;
            for (var i = 0; i < l; i++) {
                var value = elements[i].value;
                toret.add(value);
            }
            return toret;
        }

        /**
         * Executes the provided function once for each element 
         * present in this bag, including multiple copies.
         * @param {function(Object):*} callback function to execute, it is
         * invoked with one argument: the element. To break the iteration you can 
         * optionally return false.
         */
        forEach(callback: ILoopFunction<T>) {
            this.dictionary.forEach(function (k, v) {
                var value = v.value;
                var copies = v.copies;
                for (var i = 0; i < copies; i++) {
                    if (callback(value) === false) {
                        return false;
                    }
                }
                return true;
            });
        }
        /**
         * Returns the number of elements in this bag.
         * @return {number} the number of elements in this bag.
         */
        size(): number {
            return this.nElements;
        }

        /**
         * Returns true if this bag contains no elements.
         * @return {boolean} true if this bag contains no elements.
         */
        isEmpty(): boolean {
            return this.nElements === 0;
        }

        /**
         * Removes all of the elements from this bag.
         */
        clear(): void {
            this.nElements = 0;
            this.dictionary.clear();
        }

    }// End of bag 


    // Internal interface for BST 
    interface BSTreeNode<T>{
        element: T;
        leftCh: BSTreeNode<T>;
        rightCh: BSTreeNode<T>;
        parent: BSTreeNode<T>;
    }
    export class BSTree<T> {

        private root: BSTreeNode<T>;
        private compare: ICompareFunction<T>;
        private nElements: number;
        /**
         * Creates an empty binary search tree.
         * @class <p>A binary search tree is a binary tree in which each 
         * internal node stores an element such that the elements stored in the 
         * left subtree are less than it and the elements 
         * stored in the right subtree are greater.</p>
         * <p>Formally, a binary search tree is a node-based binary tree data structure which 
         * has the following properties:</p>
         * <ul>
         * <li>The left subtree of a node contains only nodes with elements less 
         * than the node's element</li>
         * <li>The right subtree of a node contains only nodes with elements greater 
         * than the node's element</li>
         * <li>Both the left and right subtrees must also be binary search trees.</li>
         * </ul>
         * <p>If the inserted elements are custom objects a compare function must 
         * be provided at construction time, otherwise the <=, === and >= operators are 
         * used to compare elements. Example:</p>
         * <pre>
         * function compare(a, b) {
         *  if (a is less than b by some ordering criterion) {
         *     return -1;
         *  } if (a is greater than b by the ordering criterion) {
         *     return 1;
         *  } 
         *  // a must be equal to b
         *  return 0;
         * }
         * </pre>
         * @constructor
         * @param {function(Object,Object):number=} compareFunction optional
         * function used to compare two elements. Must return a negative integer,
         * zero, or a positive integer as the first argument is less than, equal to,
         * or greater than the second.
         */
        constructor(compareFunction?: ICompareFunction<T>) {
            this.root = null;
            this.compare = compareFunction || collections.defaultCompare;
            this.nElements = 0;
        }

        /**
         * Adds the specified element to this tree if it is not already present.
         * @param {Object} element the element to insert.
         * @return {boolean} true if this tree did not already contain the specified element.
         */
        add(element: T): boolean {
            if (collections.isUndefined(element)) {
                return false;
            }

            if (this.insertNode(this.createNode(element)) !== null) {
                this.nElements++;
                return true;
            }
            return false;
        }

        /**
         * Removes all of the elements from this tree.
         */
        clear(): void {
            this.root = null;
            this.nElements = 0;
        }

        /**
         * Returns true if this tree contains no elements.
         * @return {boolean} true if this tree contains no elements.
         */
        isEmpty(): boolean {
            return this.nElements === 0;
        }

        /**
         * Returns the number of elements in this tree.
         * @return {number} the number of elements in this tree.
         */
        size(): number {
            return this.nElements;
        }

        /**
         * Returns true if this tree contains the specified element.
         * @param {Object} element element to search for.
         * @return {boolean} true if this tree contains the specified element,
         * false otherwise.
         */
        contains(element: T): boolean {
            if (collections.isUndefined(element)) {
                return false;
            }
            return this.searchNode(this.root, element) !== null;
        }

        /**
         * Removes the specified element from this tree if it is present.
         * @return {boolean} true if this tree contained the specified element.
         */
        remove(element: T): boolean {
            var node = this.searchNode(this.root, element);
            if (node === null) {
                return false;
            }
            this.removeNode(node);
            this.nElements--;
            return true;
        }

        /**
         * Executes the provided function once for each element present in this tree in 
         * in-order.
         * @param {function(Object):*} callback function to execute, it is invoked with one 
         * argument: the element value, to break the iteration you can optionally return false.
         */
        inorderTraversal(callback: ILoopFunction<T>): void {
            this.inorderTraversalAux(this.root, callback, {
                stop: false
            });
        }

        /**
         * Executes the provided function once for each element present in this tree in pre-order.
         * @param {function(Object):*} callback function to execute, it is invoked with one 
         * argument: the element value, to break the iteration you can optionally return false.
         */
        preorderTraversal(callback: ILoopFunction<T>): void {
            this.preorderTraversalAux(this.root, callback, {
                stop: false
            });
        }

        /**
         * Executes the provided function once for each element present in this tree in post-order.
         * @param {function(Object):*} callback function to execute, it is invoked with one 
         * argument: the element value, to break the iteration you can optionally return false.
         */
        postorderTraversal(callback: ILoopFunction<T>): void {
            this.postorderTraversalAux(this.root, callback, {
                stop: false
            });
        }

        /**
         * Executes the provided function once for each element present in this tree in 
         * level-order.
         * @param {function(Object):*} callback function to execute, it is invoked with one 
         * argument: the element value, to break the iteration you can optionally return false.
         */
        levelTraversal(callback: ILoopFunction<T>): void {
            this.levelTraversalAux(this.root, callback);
        }

        /**
         * Returns the minimum element of this tree.
         * @return {*} the minimum element of this tree or undefined if this tree is
         * is empty.
         */
        minimum(): T {
            if (this.isEmpty()) {
                return undefined;
            }
            return this.minimumAux(this.root).element;
        }

        /**
         * Returns the maximum element of this tree.
         * @return {*} the maximum element of this tree or undefined if this tree is
         * is empty.
         */
        maximum(): T {
            if (this.isEmpty()) {
                return undefined;
            }
            return this.maximumAux(this.root).element;
        }

        /**
         * Executes the provided function once for each element present in this tree in inorder.
         * Equivalent to inorderTraversal.
         * @param {function(Object):*} callback function to execute, it is
         * invoked with one argument: the element value, to break the iteration you can 
         * optionally return false.
         */
        forEach(callback: ILoopFunction<T>): void {
            this.inorderTraversal(callback);
        }

        /**
         * Returns an array containing all of the elements in this tree in in-order.
         * @return {Array} an array containing all of the elements in this tree in in-order.
         */
        toArray(): T[] {
            var array: Array<T> = [];
            this.inorderTraversal(function (element: T): boolean {
                array.push(element);
                return true;
            });
            return array;
        }

        /**
         * Returns the height of this tree.
         * @return {number} the height of this tree or -1 if is empty.
         */
        height(): number {
            return this.heightAux(this.root);
        }

        /**
        * @private
        */
        private searchNode(node: BSTreeNode<T>, element: T): BSTreeNode<T> {
            var cmp:number = null;
            while (node !== null && cmp !== 0) {
                cmp = this.compare(element, node.element);
                if (cmp < 0) {
                    node = node.leftCh;
                } else if (cmp > 0) {
                    node = node.rightCh;
                }
            }
            return node;
        }

        /**
        * @private
        */
        private transplant(n1: BSTreeNode<T>, n2: BSTreeNode<T>): void {
            if (n1.parent === null) {
                this.root = n2;
            } else if (n1 === n1.parent.leftCh) {
                n1.parent.leftCh = n2;
            } else {
                n1.parent.rightCh = n2;
            }
            if (n2 !== null) {
                n2.parent = n1.parent;
            }
        }

        /**
        * @private
        */
        private removeNode(node: BSTreeNode<T>): void {
            if (node.leftCh === null) {
                this.transplant(node, node.rightCh);
            } else if (node.rightCh === null) {
                this.transplant(node, node.leftCh);
            } else {
                var y = this.minimumAux(node.rightCh);
                if (y.parent !== node) {
                    this.transplant(y, y.rightCh);
                    y.rightCh = node.rightCh;
                    y.rightCh.parent = y;
                }
                this.transplant(node, y);
                y.leftCh = node.leftCh;
                y.leftCh.parent = y;
            }
        }

        /**
        * @private
        */
        private inorderTraversalAux(node: BSTreeNode<T>, callback: ILoopFunction<T>, signal: { stop: boolean; }): void {
            if (node === null || signal.stop) {
                return;
            }
            this.inorderTraversalAux(node.leftCh, callback, signal);
            if (signal.stop) {
                return;
            }
            signal.stop = callback(node.element) === false;
            if (signal.stop) {
                return;
            }
            this.inorderTraversalAux(node.rightCh, callback, signal);
        }

        /**
        * @private
        */
        private levelTraversalAux(node: BSTreeNode<T>, callback: ILoopFunction<T>) {
            var queue = new Queue<BSTreeNode<T>>();
            if (node !== null) {
                queue.enqueue(node);
            }
            while (!queue.isEmpty()) {
                node = queue.dequeue();
                if (callback(node.element) === false) {
                    return;
                }
                if (node.leftCh !== null) {
                    queue.enqueue(node.leftCh);
                }
                if (node.rightCh !== null) {
                    queue.enqueue(node.rightCh);
                }
            }
        }

        /**
        * @private
        */
        private preorderTraversalAux(node: BSTreeNode<T>, callback: ILoopFunction<T>, signal: { stop: boolean; }) {
            if (node === null || signal.stop) {
                return;
            }
            signal.stop = callback(node.element) === false;
            if (signal.stop) {
                return;
            }
            this.preorderTraversalAux(node.leftCh, callback, signal);
            if (signal.stop) {
                return;
            }
            this.preorderTraversalAux(node.rightCh, callback, signal);
        }
        /**
        * @private
        */
        private postorderTraversalAux(node: BSTreeNode<T>, callback: ILoopFunction<T>, signal: { stop: boolean; }) {
            if (node === null || signal.stop) {
                return;
            }
            this.postorderTraversalAux(node.leftCh, callback, signal);
            if (signal.stop) {
                return;
            }
            this.postorderTraversalAux(node.rightCh, callback, signal);
            if (signal.stop) {
                return;
            }
            signal.stop = callback(node.element) === false;
        }

        /**
        * @private
        */
        private minimumAux(node: BSTreeNode<T>): BSTreeNode<T> {
            while (node.leftCh !== null) {
                node = node.leftCh;
            }
            return node;
        }

        /**
        * @private
        */
        private maximumAux(node: BSTreeNode<T>): BSTreeNode<T> {
            while (node.rightCh !== null) {
                node = node.rightCh;
            }
            return node;
        }

      /**
        * @private
        */
        private heightAux(node: BSTreeNode<T>): number {
            if (node === null) {
                return -1;
            }
            return Math.max(this.heightAux(node.leftCh), this.heightAux(node.rightCh)) + 1;
        }

        /*
        * @private
        */
        private insertNode(node: BSTreeNode<T>): BSTreeNode<T> {

            var parent: any = null;
            var position = this.root;
            var cmp:number = null;
            while (position !== null) {
                cmp = this.compare(node.element, position.element);
                if (cmp === 0) {
                    return null;
                } else if (cmp < 0) {
                    parent = position;
                    position = position.leftCh;
                } else {
                    parent = position;
                    position = position.rightCh;
                }
            }
            node.parent = parent;
            if (parent === null) {
                // tree is empty
                this.root = node;
            } else if (this.compare(node.element, parent.element) < 0) {
                parent.leftCh = node;
            } else {
                parent.rightCh = node;
            }
            return node;
        }

        /**
        * @private
        */
        private createNode(element: T): BSTreeNode<T> {
            return {
                element: element,
                leftCh: null,
                rightCh: null,
                parent: null
            };
        }

    } // end of BSTree


}// End of module