This TypeScript constructor function initializes a binary tree with optional options and adds elements based on the provided input.
The keysNodesEntriesOrRaws
parameter in the constructor is an
iterable that can contain either objects of type K | BinaryTreeNode<K, V> | [K | null | undefined, V | undefined] | null | undefined
or R
. It
is used to initialize the binary tree with keys, nodes, entries, or raw data.
Optional
options: BinaryTreeOptions<K, V, R>The options
parameter in the constructor is an optional object that can
contain the following properties:
Protected
_clearProtected
_clearProtected
_dfsThe callback
parameter in the _dfs
method is a function that will be
called on each node visited during the depth-first search traversal. It is a generic type C
that
extends NodeCallback<BinaryTreeNode<K, V> | null>
. The default value for callback
Optional
pattern: DFSOrderPatternThe pattern
parameter in the _dfs
method specifies the
order in which the nodes are visited during a depth-first search traversal. It can have one of the
following values:
Optional
onlyOne: booleanThe onlyOne
parameter in the _dfs
method is a boolean flag
that determines whether the traversal should stop after processing a single node. If onlyOne
is
set to true
, the traversal will return as soon as a single node is processed. If it is set to
false @param {K | BinaryTreeNode<K, V> | [K | null | undefined, V | undefined] | null | undefined} startNode - The
startNodeparameter in the
_dfsmethod is used to specify the starting node for the depth-first search traversal. It can be provided in different forms: @param {IterationType} iterationType - The
iterationTypeparameter in the
_dfsmethod specifies whether the traversal should be done recursively or iteratively. It can have two possible values: @param [includeNull=false] - The
includeNullparameter in the
_dfsmethod determines whether null nodes should be included in the traversal process. If
includeNullis set to
true, the method will consider null nodes as valid nodes to visit or process. If
includeNullis set to
false, @param shouldVisitLeft - The
shouldVisitLeftparameter in the
_dfsmethod is a function that determines whether the left child of a node should be visited during the Depth-First Search traversal. By default, it checks if the node is not null or undefined before visiting the left child. You can customize this behavior @param shouldVisitRight - The
shouldVisitRightparameter in the
_dfsmethod is a function that determines whether to visit the right child node of the current node during a depth-first search traversal. The default implementation of this function checks if the node is not null or undefined before deciding to visit it. @param shouldVisitRoot - The
shouldVisitRootparameter in the
_dfsmethod is a function that determines whether a given node should be visited during the depth-first search traversal. The function takes a node as an argument and returns a boolean value indicating whether the node should be visited. @param shouldProcessRoot - The
shouldProcessRootparameter in the
_dfsmethod is a function that determines whether the root node should be processed during the Depth-First Search traversal. It takes a node (BinaryTreeNode<K, V> | null | undefined) as input and returns a boolean value. If the function @returns The
_dfsmethod returns an array of the return type of the provided callback function
C`.
Optional
startNode: Optional
iterationType: IterationTypeOptional
includeNull: booleanOptional
shouldVisitLeft: ((node: undefined | null | BinaryTreeNode<K, V>) => boolean)Optional
shouldVisitRight: ((node: undefined | null | BinaryTreeNode<K, V>) => boolean)Optional
shouldVisitRoot: ((node: undefined | null | BinaryTreeNode<K, V>) => boolean)Optional
shouldProcessRoot: ((node: undefined | null | BinaryTreeNode<K, V>) => boolean)Protected
_displayTime Complexity: O(n) Space Complexity: O(n)
The function _displayAux
in TypeScript is responsible for generating the display layout of nodes
in a binary tree based on specified options.
The node
parameter in the _displayAux
function represents a node in a binary
tree. It can be either a valid node containing a key or a special type of node like null,
undefined, or a Red-Black tree NIL node. The function checks the type of the node and its
The options
parameter in the _displayAux
function
contains the following properties:
The _displayAux
function returns a NodeDisplayLayout
, which is an array containing
information about how to display a node in a binary tree. The NodeDisplayLayout
consists of four
elements:
Protected
_ensureThe
_ensurePredicate
method in the provided code snippet is responsible for ensuring that the input
parameter keyNodeEntryOrPredicate
is transformed into a valid predicate function that can be
used for filtering nodes in a binary tree.
A NodePredicate<BinaryTreeNode<K, V>> function is being returned.
Protected
_extractTime Complexity: O(1) Space Complexity: O(1)
The function _extractKey
in TypeScript returns the key from a given input, which can be a node,
entry, raw data, or null/undefined.
The _extractKey
method you provided is a
TypeScript method that takes in a parameter keyNodeOrEntry
of type K | BinaryTreeNode<K, V> | [K | null | undefined, V | undefined] | null | undefined
,
where BTNRep
is a generic type with keys K
, V
, and BinaryTreeNode<K, V>
, and @returns The
_extractKeymethod returns the key value extracted from the
keyNodeOrEntryparameter. The return value can be a key value of type
K,
null, or
undefined`, depending on
the conditions checked in the method.
Protected
_getTime Complexity: O(1) Space Complexity: O(1)
The function _getIterator
returns an iterable iterator for a binary tree data structure, either
using an iterative approach or a recursive approach based on the specified iteration type.
The node
parameter in the _getIterator
method represents the current node being
processed during iteration. It is initially set to the root node of the data structure (or the
node passed as an argument), and then it is traversed through the data structure based on the
iteration type specified (ITER @returns The
_getIteratormethod returns an IterableIterator containing key-value pairs of nodes in a binary tree structure. The method uses an iterative approach to traverse the tree based on the
iterationTypeproperty. If the
iterationTypeis set to 'ITERATIVE', the method uses a stack to perform an in-order traversal of the tree. If the
iterationType` is not 'ITERATIVE
Protected
_isTime Complexity: O(1) Space Complexity: O(1)
The function _isPredicate
checks if a given parameter is a function.
The parameter p
is a variable of type any
, which means it can hold any type
of value. In this context, the function _isPredicate
is checking if p
is a function that
satisfies the type NodePredicate<BinaryTreeNode<K, V>>
.
The function is checking if the input p
is a function and returning a boolean value
based on that check. If p
is a function, it will return true
, indicating that p
is a
predicate function for a binary tree node. If p
is not a function, it will return false
.
Protected
_keyTime Complexity: O(1) Space Complexity: O(1)
The function keyValueNodeEntryRawToNodeAndValue
converts various input types into a node object
or returns null.
The
keyValueNodeEntryRawToNodeAndValue
function takes in a parameter keyNodeOrEntry
, which
can be of type K | BinaryTreeNode<K, V> | [K | null | undefined, V | undefined] | null | undefined
or R
. This parameter represents either a key, a
node, an entry
Optional
value: VThe value
parameter in the keyValueNodeEntryRawToNodeAndValue
function is
an optional parameter of type V
. It represents the value associated with the key in the node
being created. If a value
is provided, it will be used when creating the node. If
The keyValueNodeEntryRawToNodeAndValue
function returns an optional node
(BinaryTreeNode<K, V> | null | undefined
) based on the input parameters provided. The function checks the type of the
input parameter (keyNodeOrEntry
) and processes it accordingly to return a node or null
value.
Protected
_replaceTime Complexity: O(1) Space Complexity: O(1)
The _replaceNode function replaces an old node with a new node in a binary tree structure.
The oldNode
parameter represents the node that you want to replace in a
tree data structure.
The newNode
parameter in the _replaceNode
function represents the node
that will replace the oldNode
in a tree data structure. This function is responsible for
updating the parent, left child, right child, and root (if necessary) references when replacing a
node in the tree.
The method _replaceNode
is returning the newNode
that was passed as a parameter after
replacing the oldNode
with it in the binary tree structure.
Protected
_setTime Complexity: O(1) Space Complexity: O(1)
The function _setRoot sets the root node of a data structure while updating the parent reference of the previous root node.
The parameter v
in the _setRoot
method is of type BinaryTreeNode<K, V> | null | undefined
, which means
it can either be an optional BinaryTreeNode<K, V>
type or null
.
Protected
_setTime Complexity: O(1) Space Complexity: O(1)
The function _setValue
sets a value in a store based on a key, handling cases where the key or
value is null or undefined.
The method _setValue
returns false
if either the key
is null
or undefined
, or
if the value
is undefined
. Otherwise, it returns the result of calling the set
method on the
_store
object with the key
and value
arguments.
Protected
_swapTime Complexity: O(1) Space Complexity: O(1)
The _swapProperties function swaps key and value properties between two nodes in a binary tree.
The srcNode
parameter in the
_swapProperties
method can be either a BTNRep object containing key and value
properties, or it can be of type R.
The destNode
parameter in the
_swapProperties
method represents the node or entry where the properties will be swapped with
the srcNode
. It can be of type K | BinaryTreeNode<K, V> | [K | null | undefined, V | undefined] | null | undefined
or R
. The method ensures that
both srcNode @returns The
_swapPropertiesmethod returns either the
destNodewith its key and value swapped with the
srcNode, or
undefinedif either
srcNodeor
destNode` is falsy.
Time Complexity: O(n) Space Complexity: O(1)
The function is an implementation of the Symbol.iterator method that returns an iterable iterator.
Rest
...args: any[]The args
parameter in the code snippet represents a rest parameter. It
allows the function to accept any number of arguments as an array. In this case, the args
parameter is used to pass any additional arguments to the _getIterator
method.
Time Complexity O(n) Space Complexity O(1)
The add
function in TypeScript adds a new node to a binary tree while handling duplicate keys
and finding the correct insertion position.
The add
method you provided
seems to be for adding a new node to a binary tree structure. The keyNodeOrEntry
parameter in the method can accept different types of values:
Optional
value: VThe value
parameter in the add
method represents the value associated
with the key that you want to add to the binary tree. When adding a key-value pair to the binary
tree, you provide the key and its corresponding value. The add
method then creates a new node
with this
The add
method returns a boolean value. It returns true
if the insertion of the new
node was successful, and false
if the insertion position could not be found or if a duplicate
key was found and the node was replaced instead of inserted.
Time Complexity: O(k * n) Space Complexity: O(k)
The addMany
function takes in multiple keys or nodes or entries or raw values along with
optional values, and adds them to a data structure while returning an array indicating whether
each insertion was successful.
keysNodesEntriesOrRaws
is an iterable that can contain a
mix of keys, nodes, entries, or raw values. Each element in this iterable can be of type
K | BinaryTreeNode<K, V> | [K | null | undefined, V | undefined] | null | undefined
or R
.
Optional
values: Iterable<undefined | V, any, any>The values
parameter in the addMany
function is an optional parameter that
accepts an iterable of values. These values correspond to the keys or nodes being added in the
keysNodesEntriesOrRaws
parameter. If provided, the function will iterate over the values and
assign them
The addMany
method returns an array of boolean values indicating whether each key,
node, entry, or raw value was successfully added to the data structure. Each boolean value
corresponds to the success of adding the corresponding key or value in the input iterable.
Time complexity: O(n) Space complexity: O(n)
The clone
function creates a deep copy of a tree structure by traversing it using breadth-first
search.
The clone()
method is returning a cloned copy of the tree with the same structure and
values as the original tree. The method creates a new tree, iterates over the nodes of the
original tree using breadth-first search (bfs), and adds the nodes to the new tree. If a node in
the original tree is null, a null node is added to the cloned tree. If a node
Time Complexity: O(1) Space Complexity: O(1)
The function creates a new binary tree node with a specified key and optional value.
The key
parameter is the key of the node being created in the binary tree.
Optional
value: VThe value
parameter in the createNode
function is optional, meaning it is
not required to be provided when calling the function. If a value
is provided, it should be of
type V
, which is the type of the value associated with the node.
A new BinaryTreeNode instance with the provided key and value is being returned, casted as BinaryTreeNode<K, V>.
Time Complexity: O(1) Space Complexity: O(1)
The function creates a binary tree with the specified options.
Optional
options: BinaryTreeOptions<K, V, R>The options
parameter in the createTree
function is an optional parameter
that allows you to provide partial configuration options for creating a binary tree. It is of type
Partial<BinaryTreeOptions<K, V, R>>
, which means you can pass in an object containing a subset
of properties
A new instance of a binary tree with the specified options is being returned.
Time Complexity: O(n) Space Complexity: O(1)
The function delete
in TypeScript implements the deletion of a node in a binary tree and returns
the deleted node along with information for tree balancing.
The delete
method you provided is used to delete a node from a binary tree based on the key,
node, entry or raw data. The method returns an array of
BinaryTreeDeleteResult
objects containing information about the deleted node and whether
balancing is needed.
The delete
method returns an array of BinaryTreeDeleteResult
objects. Each object in
the array contains information about the node that was deleted (deleted
) and the node that may
need to be balanced (needBalanced
).
Time Complexity: O(n) Space Complexity: O(log n)
The function ensureNode
in TypeScript checks if a given input is a node, entry, key, or raw
value and returns the corresponding node or null.
The keyNodeOrEntry
parameter in the ensureNode
function can be of type K | BinaryTreeNode<K, V> | [K | null | undefined, V | undefined] | null | undefined
or R
. It
is used to determine whether the input is a key, node, entry, or raw data. The
The iterationType
parameter in the ensureNode
function
is used to specify the type of iteration to be performed. It has a default value of
this.iterationType
if not explicitly provided.
The ensureNode
function returns either a node, null
, or undefined
based on the
conditions specified in the code snippet.
Time Complexity: O(n) Space Complexity: O(1)
The every
function checks if every element in a collection satisfies a given condition.
The predicate
parameter is a callback function that takes three arguments:
value
, key
, and index
. It should return a boolean value indicating whether the condition is
met for the current element in the iteration.
Optional
thisArg: anyThe thisArg
parameter is an optional argument that specifies the value
to be used as this
when executing the predicate
function. If thisArg
is provided, it will be
passed as the first argument to the predicate
function. If thisArg
is not provided
The every
method is returning a boolean value. It returns true
if every element in
the collection satisfies the provided predicate function, and false
otherwise.
Time Complexity: O(n) Space Complexity: O(n)
The filter
function iterates over key-value pairs in a tree data structure and creates a new
tree with elements that satisfy a given predicate.
The predicate
parameter in the filter
method is a function that will be
called with four arguments: the value
of the current entry, the key
of the current entry, the
index
of the current entry in the iteration, and the reference to the tree itself (@param {any} [thisArg] - The
thisArgparameter in the
filtermethod allows you to specify the value of
thisthat should be used when executing the
predicatefunction. This is useful when the
predicatefunction relies on the context of a specific object or value. By providing a
thisArg
Optional
thisArg: anyThe filter
method is returning a new tree that contains entries that pass the provided
predicate function.
Time Complexity: O(n) Space Complexity: O(1)
The find
function iterates over the entries of a collection and returns the first value for
which the callback function returns true.
The callback function that will be called for each entry in the collection. It takes three arguments: the value of the entry, the key of the entry, and the index of the entry in the collection. It should return a boolean value indicating whether the current entry matches the desired condition.
Optional
thisArg: anyThe thisArg
parameter is an optional argument that specifies the value
to be used as this
when executing the callbackfn
function. If thisArg
is provided, it will
be passed as the this
value to the callbackfn
function. If thisArg @returns The method
findreturns the value of the first element in the iterable that satisfies the provided callback function. If no element satisfies the callback function,
undefined` is
returned.
Time Complexity: O(n) Space Complexity: O(1)
The forEach
function iterates over each key-value pair in a collection and executes a callback
function for each pair.
The callback function that will be called for each element in the collection. It takes four parameters: the value of the current element, the key of the current element, the index of the current element, and the collection itself.
Optional
thisArg: anyThe thisArg
parameter is an optional argument that allows you to
specify the value of this
within the callback function. If thisArg
is provided, it will be
used as the this
value when calling the callback function. If thisArg
is not provided, `
Time Complexity: O(n) Space Complexity: O(log n)
This function overrides the get
method to retrieve the value associated with a specified key,
node, entry, raw data, or predicate in a data structure.
The keyNodeEntryOrPredicate
parameter in the get
method can accept one of the
following types:
The startNode
parameter in the get
method is used to specify the starting point for searching for a key or node in the binary tree.
If no specific starting point is provided, the default starting point is the root of the binary
tree (this._root
).
The iterationType
parameter in the get
method is used
to specify the type of iteration to be performed when searching for a key in the binary tree. It
is an optional parameter with a default value of this.iterationType
, which means it will use the
iteration type defined in the
The get
method is returning the value associated with the specified key, node, entry,
raw data, or predicate in the binary tree map. If the specified key or node is found in the tree,
the method returns the corresponding value. If the key or node is not found, it returns
undefined
.
Time Complexity: O(n) Space Complexity: O(log n)
The getDepth
function calculates the depth between two nodes in a binary tree.
The dist
parameter in the getDepth
function represents the node or entry in a binary tree map, or a reference to a node in the tree.
It is the target node for which you want to calculate the depth from the startNode
node.
The startNode
parameter in the
getDepth
function represents the starting point from which you want to calculate the depth of a
given node or entry in a binary tree. If no specific starting point is provided, the default value
for startNode
is set to the root of the binary
The getDepth
method returns the depth of a given node dist
relative to the
startNode
node in a binary tree. If the dist
node is not found in the path to the startNode
node, it returns the depth of the dist
node from the root of the tree.
Time Complexity: O(n) Space Complexity: O(log n)
The getHeight
function calculates the maximum height of a binary tree using either a recursive
or iterative approach in TypeScript.
The startNode
parameter is the starting
point from which the height of the binary tree will be calculated. It can be a node in the binary
tree or a reference to the root of the tree. If not provided, it defaults to the root of the
binary tree data structure.
The iterationType
parameter is used to determine the type
of iteration to be performed while calculating the height of the binary tree. It can have two
possible values:
The getHeight
method returns the height of the binary tree starting from the specified
root node. The height is calculated based on the maximum depth of the tree, considering either a
recursive approach or an iterative approach depending on the iterationType
parameter.
Time Complexity: O(log n) Space Complexity: O(log n)
The function getLeftMost
retrieves the leftmost node in a binary tree using either recursive or
tail-recursive iteration.
The callback
parameter is a function that will be called with the leftmost
node of a binary tree or with undefined
if the tree is empty. It is provided with a default
value of _DEFAULT_NODE_CALLBACK
if not specified.
The startNode
parameter in the
getLeftMost
function represents the starting point for finding the leftmost node in a binary
tree. It can be either a key, a node, or an entry in the binary tree structure. If no specific
starting point is provided, the function will default
The iterationType
parameter in the getLeftMost
function
specifies the type of iteration to be used when traversing the binary tree nodes. It can have two
possible values:
The getLeftMost
function returns the result of the callback function C
applied to the
leftmost node in the binary tree starting from the startNode
node. If the startNode
node is
NIL
, it returns the result of the callback function applied to undefined
. If the startNode
node is not a real node, it returns the result of the callback
Time Complexity: O(n) Space Complexity: O(log n)
The getMinHeight
function calculates the minimum height of a binary tree using either a
recursive or iterative approach in TypeScript.
The startNode
parameter in the
getMinHeight
function represents the starting node from which the minimum height of the binary
tree will be calculated. It is either a node in the binary tree or a reference to the root of the
tree. If not provided, the default value is the root
The iterationType
parameter in the getMinHeight
method
specifies the type of iteration to use when calculating the minimum height of a binary tree. It
can have two possible values:
The getMinHeight
method returns the minimum height of the binary tree starting from the
specified root node. The height is calculated based on the shortest path from the root node to a
leaf node in the tree. The method uses either a recursive approach or an iterative approach (using
a stack) based on the iterationType
parameter.
Time Complexity: O(n) Space Complexity: O(log n)
The getNode
function retrieves a node based on the provided key, node, entry, raw data, or
predicate.
The keyNodeEntryOrPredicate
parameter in the getNode
function can accept a key,
node, entry, raw data, or a predicate function.
The startNode
parameter in the
getNode
function is used to specify the starting point for searching for a node in a binary
tree. If no specific starting point is provided, the default value is set to this._root
, which
is typically the root node of the binary tree.
The iterationType
parameter in the getNode
method is
used to specify the type of iteration to be performed when searching for a node. It has a default
value of this.iterationType
, which means it will use the iteration type defined in the current
context if no specific value is provided
The getNode
function is returning the first node that matches the specified criteria,
or null
if no matching node is found.
The getNodes
function you provided takes several parameters:
Optional
onlyOne: booleanThe onlyOne
parameter in the getNodes
function is a boolean flag that
determines whether to return only the first node that matches the criteria specified by the
keyNodeEntryOrPredicate
parameter. If onlyOne
is set to true
, the function will
Optional
startNode: The startNode
parameter in the
getNodes
function is used to specify the starting point for traversing the binary tree. It
represents the root node of the binary tree or the node from which the traversal should begin. If
not provided, the default value is set to this._root @param {IterationType} iterationType - The
iterationTypeparameter in the
getNodesfunction determines the type of iteration to be performed when traversing the nodes of a binary tree. It can have two possible values: @returns The
getNodes` function returns an array of nodes that satisfy the provided condition
based on the input parameters and the iteration type specified.
Optional
iterationType: IterationTypeTime Complexity: O(log n) Space Complexity: O(log n)
The function getPathToRoot
in TypeScript retrieves the path from a given node to the root of a
tree structure, applying a specified callback function along the way.
The callback
parameter is a function that is used to process each node in
the path to the root. It is expected to be a function that takes a node as an argument and returns
a value based on that node. The return type of the callback function is determined by the generic
type C @param {K | BinaryTreeNode<K, V> | [K | null | undefined, V | undefined] | null | undefined } beginNode - The
beginNodeparameter in the
getPathToRootfunction can be either a key, a node, an entry, or any other value of type
R. @param [isReverse=true] - The
isReverseparameter in the
getPathToRootfunction determines whether the resulting path from the given
beginNodeto the root should be in reverse order or not. If
isReverseis set to
true, the path will be reversed before being returned. If
is
Optional
isReverse: boolean = falseThe function getPathToRoot
returns an array of the return values of the callback
function callback
applied to each node in the path from the beginNode
to the root node. The
array is either in reverse order or in the original order based on the value of the isReverse
parameter.
Time Complexity: O(log n) Space Complexity: O(log n)
The function getPredecessor
in TypeScript returns the predecessor node of a given node in a
binary tree.
The getPredecessor
function you provided seems to be attempting to find the
predecessor of a given node in a binary tree. However, there seems to be a logical issue in the
while loop condition that might cause an infinite loop.
The getPredecessor
function returns the predecessor node of the input BinaryTreeNode<K, V>
parameter.
If the left child of the input node exists, it traverses to the rightmost node of the left subtree
to find the predecessor. If the left child does not exist, it returns the input node itself.
Time Complexity: O(log n) Space Complexity: O(log n)
The function getRightMost
retrieves the rightmost node in a binary tree using either recursive
or iterative traversal methods.
The callback
parameter is a function that will be called with the result
of finding the rightmost node in a binary tree. It is of type NodeCallback<OptNodeOrNull<BinaryTreeNode<K, V>>>
,
which means it is a callback function that can accept either an optional binary tree node or null
as
The startNode
parameter in the
getRightMost
function represents the starting point for finding the rightmost node in a binary
tree. It can be either a key, a node, or an entry in the binary tree structure. If no specific
starting point is provided, the function will default
The iterationType
parameter in the getRightMost
function specifies the type of iteration to be used when traversing the binary tree nodes. It can
have two possible values:
The getRightMost
function returns the result of the callback function C
, which is
passed as a parameter to the function. The callback function is called with the rightmost node in
the binary tree structure, determined based on the specified iteration type ('RECURSIVE' or
other).
Time Complexity: O(log n) Space Complexity: O(log n)
The function getSuccessor
in TypeScript returns the next node in an in-order traversal of a
binary tree.
Optional
x: null | K | BinaryTreeNode<K, V>The getSuccessor
function takes a parameter x
, which can be of
type K
, BinaryTreeNode<K, V>
, or null
.
The getSuccessor
function returns the successor node of the input node x
. If x
has
a right child, the function returns the leftmost node in the right subtree of x
. If x
does not
have a right child, the function traverses up the parent nodes until it finds a node that is not
the right child of its parent, and returns that node
Time Complexity: O(n) Space Complexity: O(1)
The function checks if a given key exists in a collection.
Optional
keyNodeEntryOrPredicate: Optional
startNode: Optional
iterationType: IterationTypea boolean value. It returns true if the key is found in the collection, and false otherwise.
Time Complexity: O(n) Space Complexity: O(1)
The function checks if a given value exists in a collection.
The parameter "value" is the value that we want to check if it exists in the collection.
a boolean value, either true or false.
Time Complexity: O(n) Space Complexity: O(log n)
The function isBST
in TypeScript checks if a binary search tree is valid using either recursive
or iterative methods.
The startNode
parameter in the isBST
function represents the starting point for checking whether a binary search tree (BST) is valid.
It can be a node in the BST or a reference to the root of the BST. If no specific node is
provided, the function will default to
The iterationType
parameter in the isBST
function
determines whether the function should use a recursive approach or an iterative approach to check
if the binary search tree (BST) is valid.
The isBST
method is returning a boolean value, which indicates whether the binary
search tree (BST) represented by the given root node is a valid BST or not. The method checks if
the tree satisfies the BST property, where for every node, all nodes in its left subtree have keys
less than the node's key, and all nodes in its right subtree have keys greater than the node's
Time Complexity: O(1) Space Complexity: O(1)
The isEmpty
function in TypeScript checks if a data structure has no elements and returns a
boolean value.
The isEmpty()
method is returning a boolean value, specifically true
if the _size
property is equal to 0, indicating that the data structure is empty, and false
otherwise.
Time Complexity: O(1) Space Complexity: O(1)
The function isEntry
checks if the input is a BTNEntry object by verifying if it is an array
with a length of 2.
The keyNodeOrEntry
parameter in the isEntry
function can be of type K | BinaryTreeNode<K, V> | [K | null | undefined, V | undefined] | null | undefined
or type R
.
The function checks if the provided keyNodeOrEntry
is of type BTN @returns The
isEntryfunction is checking if the
keyNodeOrEntryparameter is an array with a length of 2. If it is, then it returns
true, indicating that the parameter is of type
BTNEntry<K, V>. If the condition is not met, it returns
false`.
Time Complexity: O(1) Space Complexity: O(1)
The function determines whether a given key, node, entry, or raw data is a leaf node in a binary tree.
The parameter
keyNodeOrEntry
can be of type K | BinaryTreeNode<K, V> | [K | null | undefined, V | undefined] | null | undefined
or R
. It represents a
key, node, entry, or raw data in a binary tree structure. The function isLeaf
checks whether the
provided
The function isLeaf
returns a boolean value indicating whether the input
keyNodeOrEntry
is a leaf node in a binary tree.
Time Complexity: O(1) Space Complexity: O(1)
The function isNIL checks if a given key, node, entry, or raw value is equal to the _NIL value.
The function is checking if the keyNodeOrEntry
parameter is equal to the _NIL
property of the current object and returning a boolean value based on that comparison.
Time Complexity: O(1) Space Complexity: O(1)
The function isNode checks if the input is an instance of BinaryTreeNode.
The function isNode
is checking if the input keyNodeOrEntry
is an instance of
BinaryTreeNode
. If it is, the function returns true
, indicating that the input is a node. If
it is not an instance of BinaryTreeNode
, the function returns false
, indicating that the input
is not a node.
Time Complexity: O(n) Space Complexity: O(log n)
The function checks if a binary tree is perfectly balanced by comparing its minimum height with its height.
The startNode
parameter is the starting
point for checking if the binary tree is perfectly balanced. It represents the root node of the
binary tree or a specific node from which the balance check should begin.
The method isPerfectlyBalanced
is returning a boolean value, which indicates whether
the tree starting from the startNode
node is perfectly balanced or not. The return value is
determined by comparing the minimum height of the tree with the height of the tree. If the minimum
height plus 1 is greater than or equal to the height of the tree, then it is considered perfectly
balanced and
Time Complexity: O(1) Space Complexity: O(1)
The function isRange
checks if the input parameter is an instance of the Range
class.
The keyNodeEntryOrPredicate
parameter in the isRange
function can be
of type K | BinaryTreeNode<K, V> | [K | null | undefined, V | undefined] | null | undefined
, NodePredicate<BinaryTreeNode<K, V>>
, or
Range<K>
. The function checks if the keyNodeEntry @returns The
isRangefunction is checking if the
keyNodeEntryOrPredicateparameter is an instance of the
Rangeclass. If it is an instance of
Range, the function will return
true, indicating that the parameter is a
Range. If it is not an instance of
Range, the function will return
false`.
Time Complexity: O(1) Space Complexity: O(1)
The function isRaw
checks if the input parameter is of type R
by verifying if it is an object.
The function isRaw
is checking if the keyNodeEntryOrRaw
parameter is of type R
by
checking if it is an object. If the parameter is an object, the function will return true
,
indicating that it is of type R
.
Time Complexity: O(1) Space Complexity: O(1)
The function isRealNode
checks if a given input is a valid node in a binary tree.
The keyNodeOrEntry
parameter in the isRealNode
function can be of type K | BinaryTreeNode<K, V> | [K | null | undefined, V | undefined] | null | undefined
or R
.
The function checks if the input parameter is a BinaryTreeNode<K, V>
type by verifying if it is not equal
The function isRealNode
is checking if the input keyNodeOrEntry
is a valid
node by comparing it to this._NIL
, null
, and undefined
. If the input is not one of these
values, it then calls the isNode
method to further determine if the input is a node. The
function will return a boolean value indicating whether the
Time Complexity: O(1) Space Complexity: O(1)
The function checks if a given input is a valid node or null.
The function isRealNodeOrNull
is returning a boolean value. It checks if the input
keyNodeOrEntry
is either null
or a real node, and returns true
if it is a node or
null
, and false
otherwise.
Time Complexity O(1) Space Complexity O(1)
The function isValidKey
checks if a given key is comparable.
The key
parameter is of type any
, which means it can be any data type in
TypeScript.
The function isValidKey
is checking if the key
parameter is null
or if it is comparable.
If the key
is null
, the function returns true
. Otherwise, it returns the result of the
isComparable
function, which is not provided in the code snippet.
Time complexity: O(n) Space complexity: O(n)
The leaves
function in TypeScript returns an array of values from leaf nodes in a binary tree
structure based on a specified callback and iteration type.
The callback
parameter is a function that will be called on each leaf node
in the binary tree. It is optional and defaults to a default callback function if not provided.
The startNode
parameter in the leaves
method is used to specify the starting point for finding and processing the leaves of a binary
tree. It can be provided as either a key, a node, or an entry in the binary tree structure. If not
explicitly provided, the default value
The iterationType
parameter in the leaves
method
specifies the type of iteration to be performed when collecting the leaves of a binary tree. It
can have two possible values:
The leaves
method returns an array of values that are the result of applying the
provided callback function to each leaf node in the binary tree.
Time Complexity: O(n) Space Complexity: O(n)
The map
function in TypeScript creates a new BinaryTree by applying a callback function to each
entry in the original BinaryTree.
A function that will be called for each entry in the current binary tree. It takes the key, value (which can be undefined), and an array containing the mapped key and value as arguments.
Optional
options: BinaryTreeOptions<MK, MV, MR>The options
parameter in the map
method is of type BinaryTreeOptions<MK, MV, MR>
. It is an optional parameter that allows you to specify additional options for the binary
tree being created during the mapping process. These options could include things like custom
comparators, initial
Optional
thisArg: anyThe thisArg
parameter in the map
method is used to specify the value
of this
when executing the callback
function. It allows you to set the context (value of
this
) within the callback function. If thisArg
is provided, it will be passed
The map
function is returning a new BinaryTree
instance filled with entries that are
the result of applying the provided callback
function to each entry in the original tree.
Optional
callback: CThe callback
parameter in the morris
function is a function that will be
called on each node in the binary tree during the traversal. It is of type C
, which extends the
NodeCallback<BinaryTreeNode<K, V> | null>
type. The default value for callback
is this._DEFAULT @param {DFSOrderPattern} [pattern=IN] - The
patternparameter in the
morrisfunction specifies the type of Depth-First Search (DFS) order pattern to traverse the binary tree. The possible values for the
patternparameter are: @param {K | BinaryTreeNode<K, V> | [K | null | undefined, V | undefined] | null | undefined } startNode - The
startNodeparameter in the
morrisfunction is the starting point for the Morris traversal algorithm. It represents the root node of the binary tree or the node from which the traversal should begin. It can be provided as either a key, a node, an entry, or a reference @returns The
morris` function is returning an array of values that are the result of applying the
provided callback function to each node in the binary tree in the specified order pattern (IN,
PRE, or POST).
Optional
pattern: DFSOrderPatternOptional
startNode: Time Complexity: O(n) Space Complexity: O(n)
The function print
in TypeScript overrides the default print behavior to log a visual
representation of the binary tree to the console.
Optional
options: BinaryTreePrintOptionsThe options
parameter is used to specify the
printing options for the binary tree. It is an optional parameter that allows you to customize how
the binary tree is printed, such as choosing between different traversal orders or formatting
options.
The startNode
parameter in the
override print
method is used to specify the starting point for printing the binary tree. It can
be either a key, a node, an entry, or the root of the tree. If no specific starting point is
provided, the default value is set to
Time Complexity: O(n) Space Complexity: O(1)
The reduce
function iterates over key-value pairs and applies a callback function to each pair,
accumulating a single value.
The callback function that will be called for each element in the collection. It takes four arguments: the current accumulator value, the current value of the element, the key of the element, and the index of the element in the collection. It should return the updated accumulator value.
The initialValue
parameter is the initial value of the accumulator. It
is the value that will be used as the first argument to the callbackfn
function when reducing
the elements of the collection.
The reduce
method is returning the final value of the accumulator after iterating over
all the elements in the collection.
Time Complexity: O(k * n) Space Complexity: O(1)
The refill
function clears the existing data structure and then adds new key-value pairs based
on the provided input.
The keysNodesEntriesOrRaws
parameter in the refill
method can accept an iterable containing a mix of K | BinaryTreeNode<K, V> | [K | null | undefined, V | undefined] | null | undefined
objects or R
objects.
Optional
values: Iterable<undefined | V, any, any>The values
parameter in the refill
method is an optional parameter that
accepts an iterable of values of type V
or undefined
.
Time Complexity: O(n) Space Complexity: O(k + log n)
The search
function in TypeScript performs a depth-first or breadth-first search on a tree
structure based on a given predicate or key, with options to return multiple results or just one.
The
keyNodeEntryOrPredicate
parameter in the search
function can accept three types of values:
Optional
onlyOne: boolean = falseThe onlyOne
parameter in the search
function is a boolean flag that
determines whether the search should stop after finding the first matching node. If onlyOne
is
set to true
, the search will return as soon as a matching node is found. If onlyOne
is
The callback
parameter in the search
function is a callback function
that will be called on each node that matches the search criteria. It is of type C
, which
extends NodeCallback<BinaryTreeNode<K, V> | null>
. The default value for callback
is this._DEFAULT_NODE_CALLBACK
if
The startNode
parameter in the search
function is
used to specify the node from which the search operation should begin. It represents the starting
point in the binary tree where the search will be performed. If no specific startNode
is
provided, the search operation will start from the root
The iterationType
parameter in the search
function
specifies the type of iteration to be used when searching for nodes in a binary tree. It can have
two possible values:
The search
function returns an array of values that match the provided criteria based
on the search algorithm implemented within the function.
Time Complexity: O(n) Space Complexity: O(1)
The "some" function iterates over a collection and returns true if at least one element satisfies a given predicate.
The predicate
parameter is a callback function that takes three arguments:
value
, key
, and index
. It should return a boolean value indicating whether the condition is
met for the current element in the iteration.
Optional
thisArg: anyThe thisArg
parameter is an optional argument that specifies the value
to be used as the this
value when executing the predicate
function. If thisArg
is provided,
it will be passed as the first argument to the predicate
function. If thisArg
is
a boolean value. It returns true if the predicate function returns true for any pair in the collection, and false otherwise.
Time Complexity: O(n) Space Complexity: O(n)
The function toVisual
in TypeScript overrides the visual representation of a binary tree with
customizable options for displaying undefined, null, and sentinel nodes.
The startNode
parameter in the
toVisual
method is used to specify the starting point for visualizing the binary tree structure.
It can be a node, key, entry, or the root of the tree. If no specific starting point is provided,
the default is set to the root
Optional
options: BinaryTreePrintOptionsThe options
parameter in the toVisual
method is an
object that contains the following properties:
The override toVisual
method returns a string that represents the visual display of the
binary tree based on the provided options for showing undefined, null, and Red-Black NIL nodes.
The method constructs the visual representation by calling the _displayAux
method and appending
the lines to the output string. The final output string contains the visual representation of the
binary tree with the specified options.
Example
Example