mirror of
https://github.com/TheAlgorithms/Java.git
synced 2025-07-06 00:54:32 +08:00
Enhance docs, add tests in LeftistHeap
(#5982)
This commit is contained in:
@ -2,24 +2,33 @@ package com.thealgorithms.datastructures.heaps;
|
||||
|
||||
import java.util.ArrayList;
|
||||
|
||||
/*
|
||||
* This is a leftist heap that follows the same operations as a
|
||||
* binary min heap, but may be unbalanced at times and follows a
|
||||
* leftist property, in which the left side is more heavy on the
|
||||
* right based on the null-path length (npl) values.
|
||||
/**
|
||||
* This class implements a Leftist Heap, which is a type of priority queue
|
||||
* that follows similar operations to a binary min-heap but allows for
|
||||
* unbalanced structures based on the leftist property.
|
||||
*
|
||||
* Source: https://iq.opengenus.org/leftist-heap/
|
||||
* <p>
|
||||
* A Leftist Heap maintains the leftist property, which ensures that the
|
||||
* left subtree is heavier than the right subtree based on the
|
||||
* null-path length (npl) values. This allows for efficient merging
|
||||
* of heaps and supports operations like insertion, extraction of
|
||||
* the minimum element, and in-order traversal.
|
||||
* </p>
|
||||
*
|
||||
* <p>
|
||||
* For more information on Leftist Heaps, visit:
|
||||
* <a href="https://iq.opengenus.org/leftist-heap/">OpenGenus</a>
|
||||
* </p>
|
||||
*/
|
||||
|
||||
public class LeftistHeap {
|
||||
// Node class representing each element in the Leftist Heap
|
||||
private static final class Node {
|
||||
private final int element;
|
||||
private int npl;
|
||||
private Node left;
|
||||
private Node right;
|
||||
|
||||
// Node constructor setting the data element and left/right pointers to null
|
||||
// Node constructor that initializes the element and sets child pointers to null
|
||||
private Node(int element) {
|
||||
this.element = element;
|
||||
left = null;
|
||||
@ -30,31 +39,45 @@ public class LeftistHeap {
|
||||
|
||||
private Node root;
|
||||
|
||||
// Constructor
|
||||
// Constructor initializing an empty Leftist Heap
|
||||
public LeftistHeap() {
|
||||
root = null;
|
||||
}
|
||||
|
||||
// Checks if heap is empty
|
||||
/**
|
||||
* Checks if the heap is empty.
|
||||
*
|
||||
* @return true if the heap is empty; false otherwise
|
||||
*/
|
||||
public boolean isEmpty() {
|
||||
return root == null;
|
||||
}
|
||||
|
||||
// Resets structure to initial state
|
||||
/**
|
||||
* Resets the heap to its initial state, effectively clearing all elements.
|
||||
*/
|
||||
public void clear() {
|
||||
// We will put head is null
|
||||
root = null;
|
||||
root = null; // Set root to null to clear the heap
|
||||
}
|
||||
|
||||
// Merge function that merges the contents of another leftist heap with the
|
||||
// current one
|
||||
/**
|
||||
* Merges the contents of another Leftist Heap into this one.
|
||||
*
|
||||
* @param h1 the LeftistHeap to be merged into this heap
|
||||
*/
|
||||
public void merge(LeftistHeap h1) {
|
||||
// If the present function is rhs then we ignore the merge
|
||||
// Merge the current heap with the provided heap and set the provided heap's root to null
|
||||
root = merge(root, h1.root);
|
||||
h1.root = null;
|
||||
}
|
||||
|
||||
// Function merge with two Nodes a and b
|
||||
/**
|
||||
* Merges two nodes, maintaining the leftist property.
|
||||
*
|
||||
* @param a the first node
|
||||
* @param b the second node
|
||||
* @return the merged node maintaining the leftist property
|
||||
*/
|
||||
public Node merge(Node a, Node b) {
|
||||
if (a == null) {
|
||||
return b;
|
||||
@ -64,17 +87,17 @@ public class LeftistHeap {
|
||||
return a;
|
||||
}
|
||||
|
||||
// Violates leftist property, so must do a swap
|
||||
// Ensure that the leftist property is maintained
|
||||
if (a.element > b.element) {
|
||||
Node temp = a;
|
||||
a = b;
|
||||
b = temp;
|
||||
}
|
||||
|
||||
// Now we call the function merge to merge a and b
|
||||
// Merge the right child of node a with node b
|
||||
a.right = merge(a.right, b);
|
||||
|
||||
// Violates leftist property so must swap here
|
||||
// If left child is null, make right child the left child
|
||||
if (a.left == null) {
|
||||
a.left = a.right;
|
||||
a.right = null;
|
||||
@ -89,14 +112,21 @@ public class LeftistHeap {
|
||||
return a;
|
||||
}
|
||||
|
||||
// Function insert. Uses the merge function to add the data
|
||||
/**
|
||||
* Inserts a new element into the Leftist Heap.
|
||||
*
|
||||
* @param a the element to be inserted
|
||||
*/
|
||||
public void insert(int a) {
|
||||
root = merge(new Node(a), root);
|
||||
}
|
||||
|
||||
// Returns and removes the minimum element in the heap
|
||||
/**
|
||||
* Extracts and removes the minimum element from the heap.
|
||||
*
|
||||
* @return the minimum element in the heap, or -1 if the heap is empty
|
||||
*/
|
||||
public int extractMin() {
|
||||
// If is empty return -1
|
||||
if (isEmpty()) {
|
||||
return -1;
|
||||
}
|
||||
@ -106,14 +136,23 @@ public class LeftistHeap {
|
||||
return min;
|
||||
}
|
||||
|
||||
// Function returning a list of an in order traversal of the data structure
|
||||
/**
|
||||
* Returns a list of the elements in the heap in in-order traversal.
|
||||
*
|
||||
* @return an ArrayList containing the elements in in-order
|
||||
*/
|
||||
public ArrayList<Integer> inOrder() {
|
||||
ArrayList<Integer> lst = new ArrayList<>();
|
||||
inOrderAux(root, lst);
|
||||
return new ArrayList<>(lst);
|
||||
}
|
||||
|
||||
// Auxiliary function for in_order
|
||||
/**
|
||||
* Auxiliary function for in-order traversal
|
||||
*
|
||||
* @param n the current node
|
||||
* @param lst the list to store the elements in in-order
|
||||
*/
|
||||
private void inOrderAux(Node n, ArrayList<Integer> lst) {
|
||||
if (n == null) {
|
||||
return;
|
||||
|
Reference in New Issue
Block a user