package weiss.nonstandard;

// BinaryHeap class
//
// CONSTRUCTION: empty or with initial array.
//
// ******************PUBLIC OPERATIONS*********************
// void insert( x )       --> Insert x
// Comparable deleteMin( )--> Return and remove smallest item
// Comparable findMin( )  --> Return smallest item
// boolean isEmpty( )     --> Return true if empty; else false
// void makeEmpty( )      --> Remove all items
// ******************ERRORS********************************
// Throws UnderflowException for findMin and deleteMin when empty

/**
 * Implements a binary heap.
 * Note that all "matching" is based on the compareTo method.
 * @author Mark Allen Weiss
 */
public class BinaryHeap implements PriorityQueue
{
    /**
     * Construct the binary heap.
     */
    public BinaryHeap( )
    {
        currentSize = 0;
        array = new Comparable[ DEFAULT_CAPACITY + 1 ];
    }

    /**
     * Construct the binary heap from an array.
     * @param items the inital items in the binary heap.
     */
    public BinaryHeap( Comparable [ ] items )
    {
        currentSize = items.length;
        array = new Comparable[ items.length + 1 ];
        
        for( int i = 0; i < items.length; i++ )
            array[ i + 1 ] = items[ i ];
        buildHeap( );    
    }
    
    /**
     * Insert into the priority queue.
     * Duplicates are allowed.
     * @param x the item to insert.
     * @return null, signifying that decreaseKey cannot be used.
     */
    public PriorityQueue.Position insert( Comparable x )
    {
        if( currentSize + 1 == array.length )
            doubleArray( );

            // Percolate up
        int hole = ++currentSize;
        array[ 0 ] = x;
        
        for( ; x.compareTo( array[ hole / 2 ] ) < 0; hole /= 2 )
            array[ hole ] = array[ hole / 2 ];
        array[ hole ] = x;
        
        return null;
    }

    /**
     * @throws UnsupportedOperationException because no Positions are returned
     * by the insert method for BinaryHeap.
     */
    public void decreaseKey( PriorityQueue.Position p, Comparable newVal )
    {
        throw new UnsupportedOperationException( "Cannot use decreaseKey for binary heap" );
    }
        
    /**
     * Find the smallest item in the priority queue.
     * @return the smallest item.
     * @throws UnderflowException if empty.
     */
    public Comparable findMin( )
    {
        if( isEmpty( ) )
            throw new UnderflowException( "Empty binary heap" );
        return array[ 1 ];
    }

    /**
     * Remove the smallest item from the priority queue.
     * @return the smallest item.
     * @throws UnderflowException if empty.
     */
    public Comparable deleteMin( )
    {
        Comparable minItem = findMin( );
        array[ 1 ] = array[ currentSize-- ];
        percolateDown( 1 );

        return minItem;
    }

    /**
     * Establish heap order property from an arbitrary
     * arrangement of items. Runs in linear time.
     */
    private void buildHeap( )
    {
        for( int i = currentSize / 2; i > 0; i-- )
            percolateDown( i );
    }

    /**
     * Test if the priority queue is logically empty.
     * @return true if empty, false otherwise.
     */
    public boolean isEmpty( )
    {
        return currentSize == 0;
    }

    /**
     * Returns size.
     * @return current size.
     */
    public int size( )
    {
        return currentSize;
    }
    
    /**
     * Make the priority queue logically empty.
     */
    public void makeEmpty( )
    {
        currentSize = 0;
    }

    private static final int DEFAULT_CAPACITY = 100;

    private int currentSize;      // Number of elements in heap
    private Comparable [ ] array; // The heap array

    /**
     * Internal method to percolate down in the heap.
     * @param hole the index at which the percolate begins.
     */
    private void percolateDown( int hole )
    {
        int child;
        Comparable tmp = array[ hole ];

        for( ; hole * 2 <= currentSize; hole = child )
        {
            child = hole * 2;
            if( child != currentSize &&
                    array[ child + 1 ].compareTo( array[ child ] ) < 0 )
                child++;
            if( array[ child ].compareTo( tmp ) < 0 )
                array[ hole ] = array[ child ];
            else
                break;
        }
        array[ hole ] = tmp;
    }
    
    /**
     * Internal method to extend array.
     */
    private void doubleArray( )
    {
        Comparable [ ] newArray;

        newArray = new Comparable[ array.length * 2 ];
        for( int i = 0; i < array.length; i++ )
            newArray[ i ] = array[ i ];
        array = newArray;
    }

        // Test program
    public static void main( String [ ] args )
    {
        int numItems = 10000;
        BinaryHeap h1 = new BinaryHeap( );
        Integer [ ] items = new Integer[ numItems - 1 ];
        
        int i = 37;
        int j;

        for( i = 37, j = 0; i != 0; i = ( i + 37 ) % numItems, j++ )
        {
            h1.insert( new Integer( i ) );
            items[ j ] = new Integer( i );
        }
            
        for( i = 1; i < numItems; i++ )
            if( ((Integer)( h1.deleteMin( ) )).intValue( ) != i )
                System.out.println( "Oops! " + i );  
                
        BinaryHeap h2 = new BinaryHeap( items );    
        for( i = 1; i < numItems; i++ )
            if( ((Integer)( h2.deleteMin( ) )).intValue( ) != i )
                System.out.println( "Oops! " + i );          
    }
}