Java Program to Implement Fibonacci Heap

This is a Java Program to implement Fibonacci Heap. Fibonacci heap is a heap data structure consisting of a collection of trees. It has a better amortized running time than a binomial heap. The name of Fibonacci heap comes from Fibonacci numbers which are used in the running time analysis. Using Fibonacci heaps for priority queues improves the asymptotic running time of important algorithms, such as Dijkstra’s algorithm for computing the shortest path between two nodes in a graph.

Here is the source code of the Java program to implement Fibonacci Heap. The Java program is successfully compiled and run on a Windows system. The program output is also shown below.

```
/**
```

 *  Java Program to Implement FibonacciHeap

```
 **/
```
```
 
```
```
import java.util.*;
```
```
 
```
```
/* Fibonacci Heap Node **/
```
```
class FibonacciHeapNode
```
```
{
```

    FibonacciHeapNode child, left, right, parent;

```
    int element;
```
```
 
```
```
    /** Constructor **/
```

    public FibonacciHeapNode(int element)

```
    {
```
```
        this.right = this;
```
```
        this.left = this;
```
```
        this.element = element;
```
```
    }    
```
```
}
```
```
 
```
```
/** Class FibonacciHeap **/
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```
class FibonacciHeap
```
```
{
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```
    private FibonacciHeapNode root;
```
```
    private int count;    
```
```
 
```
```
    /** Constructor **/
```
```
    public FibonacciHeap()
```
```
    {
```
```
        root = null;
```
```
        count = 0;
```
```
    }
```
```
 
```
```
    /** Check if heap is empty **/
```
```
    public boolean isEmpty()
```
```
    {
```
```
        return root == null;
```
```
    }
```
```
 
```
```
    /** Make heap empty **/ 
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```
    public void clear()
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    {
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        root = null;
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        count = 0;
```
```
    }
```
```
 
```
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    /** Function to insert **/
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```
    public void insert(int element)
```
```
    {
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        FibonacciHeapNode node = new FibonacciHeapNode(element);

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        node.element = element;
```
```
 
```
```
        if (root != null) 
```
```
        {
```
```
            node.left = root;
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            node.right = root.right;
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            root.right = node;
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```
            node.right.left = node;
```

            if (element < root.element)

                root = node;

```
        }
```
```
        else 
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            root = node;
```
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        count++;
```
```
    }   
```
```
 
```
```
    /** function to display **/
```
```
    public void display()
```
```
    {
```
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        System.out.print("\nHeap = ");
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        FibonacciHeapNode ptr = root;
```
```
        if (ptr == null)
```
```
        {
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            System.out.print("Empty\n");

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            return;
```
```
        }        
```
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        do
```
```
        {
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            System.out.print(ptr.element +" ");

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            ptr = ptr.right;
```

        } while (ptr != root && ptr.right != null);

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        System.out.println();
```
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    } 
```
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}    
```
```
 
```
```
/** Class FibonacciHeapTest **/
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```
public class FibonacciHeapTest
```
```
{
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    public static void main(String[] args)

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    {
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        Scanner scan = new Scanner(System.in);

        System.out.println("FibonacciHeap Test\n\n");

        FibonacciHeap fh = new FibonacciHeap();

```
 
```
```
        char ch;
```

        /**  Perform FibonacciHeap operations  **/

```
        do    
```
```
        {
```

            System.out.println("\nFibonacciHeap Operations\n");

            System.out.println("1. insert element ");

            System.out.println("2. check empty");

            System.out.println("3. clear");

```
 
```

            int choice = scan.nextInt();

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            switch (choice)
```
```
            {
```
```
            case 1 : 
```

                System.out.println("Enter element");

                fh.insert( scan.nextInt() );

                break;

```
            case 2 : 
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                System.out.println("Empty status = "+ fh.isEmpty());

```
                break;   
```
```
            case 3 : 
```
```
                fh.clear();
```
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                break;           
```
```
            default : 
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                System.out.println("Wrong Entry \n ");

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                break;   
```
```
            }           
```
```
            fh.display();
```
```
 
```

            System.out.println("\nDo you want to continue (Type y or n) \n");

            ch = scan.next().charAt(0);

        } while (ch == 'Y'|| ch == 'y');

```
    }
```
```
}
```

FibonacciHeap Test
 
 
 
FibonacciHeap Operations
 
1. insert element
2. check empty
3. clear
1
Enter element
24
 
Heap = 24
 
Do you want to continue (Type y or n)
 
y
 
FibonacciHeap Operations
 
1. insert element
2. check empty
3. clear
1
Enter element
6
 
Heap = 6 24
 
Do you want to continue (Type y or n)
 
y
 
FibonacciHeap Operations
 
1. insert element
2. check empty
3. clear
1
Enter element
28
 
Heap = 6 28 24
 
Do you want to continue (Type y or n)
 
y
 
FibonacciHeap Operations
 
1. insert element
2. check empty
3. clear
1
Enter element
14
 
Heap = 6 14 28 24
 
Do you want to continue (Type y or n)
 
y
 
FibonacciHeap Operations
 
1. insert element
2. check empty
3. clear
1
Enter element
63
 
Heap = 6 63 14 28 24
 
Do you want to continue (Type y or n)
 
y
 
FibonacciHeap Operations
 
1. insert element
2. check empty
3. clear
2
Empty status = false
 
Heap = 6 63 14 28 24
 
Do you want to continue (Type y or n)
 
y
 
FibonacciHeap Operations
 
1. insert element
2. check empty
3. clear
3
 
Heap = Empty
 
Do you want to continue (Type y or n)
 
y
 
FibonacciHeap Operations
 
1. insert element
2. check empty
3. clear
2
Empty status = true
 
Heap = Empty
 
Do you want to continue (Type y or n)
 
n

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