/*		 
 * Copyright (C) 2003-2014 Paolo Boldi and Sebastiano Vigna 
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
 * You may obtain a copy of the License at
 *
 *     http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License. 
 */


package PACKAGE;

#if #keyclass(Object)
import java.util.Comparator;
#endif

import it.unimi.dsi.fastutil.ints.IntArrays;

/** A class providing static methods and objects that do useful things with semi-indirect heaps.
 *
 * <P>A semi-indirect heap is based on a <em>reference array</em>. Elements of
 * a semi-indirect heap are integers that index the reference array (note that
 * in an <em>indirect</em> heap you can also map elements of the reference
 * array to heap positions).  
 */

public class SEMI_INDIRECT_HEAPS {

	private SEMI_INDIRECT_HEAPS() {}

	/** Moves the given element down into the semi-indirect heap until it reaches the lowest possible position.
	 *
	 * @param refArray the reference array.
	 * @param heap the semi-indirect heap (starting at 0).
	 * @param size the number of elements in the heap.
	 * @param i the index in the heap of the element to be moved down.
	 * @param c a type-specific comparator, or <code>null</code> for the natural order.
	 * @return the new position in the heap of the element of heap index <code>i</code>.
	 */

	@SuppressWarnings("unchecked")
	public static KEY_GENERIC int downHeap( final KEY_GENERIC_TYPE[] refArray, final int[] heap, final int size, int i, final KEY_COMPARATOR KEY_GENERIC c ) {
		if ( i >= size ) throw new IllegalArgumentException( "Heap position (" + i + ") is larger than or equal to heap size (" + size + ")" );

		final int e = heap[ i ];
		final KEY_GENERIC_TYPE E = refArray[ e ];
		int child;

		if ( c == null )
			while ( ( child = 2 * i + 1 ) < size ) {
				if ( child + 1 < size && KEY_LESS( refArray[ heap[ child + 1 ] ], refArray[ heap[ child ] ] ) ) child++;
				if ( KEY_LESSEQ( E, refArray[ heap[ child ] ] ) ) break;
				heap[ i ] = heap[ child ];
				i = child;
			}
		else 
			while ( ( child = 2 * i + 1 ) < size ) {
				if ( child + 1 < size && c.compare( refArray[ heap[ child + 1 ] ], refArray[ heap[ child ] ] ) < 0 ) child++;
				if ( c.compare( E, refArray[ heap[ child ] ] ) <= 0 ) break;
				heap[ i ] = heap[ child ];
				i = child;
			}

		heap[ i ] = e;

		return i;
	}

	/** Moves the given element up in the semi-indirect heap until it reaches the highest possible position.
	 *
	 * @param refArray the reference array.
	 * @param heap the semi-indirect heap (starting at 0).
	 * @param size the number of elements in the heap.
	 * @param i the index in the heap of the element to be moved up.
	 * @param c a type-specific comparator, or <code>null</code> for the natural order.
	 * @return the new position in the heap of the element of heap index <code>i</code>.
	 */

	@SuppressWarnings("unchecked")
	public static KEY_GENERIC int upHeap( final KEY_GENERIC_TYPE[] refArray, final int[] heap, final int size, int i, final KEY_COMPARATOR KEY_GENERIC c ) {
		if ( i >= size ) throw new IllegalArgumentException( "Heap position (" + i + ") is larger than or equal to heap size (" + size + ")" );

		final int e = heap[ i ];
		int parent;
		final KEY_GENERIC_TYPE E = refArray[ e ];

		if ( c == null )
			while ( i != 0 && ( parent = ( i - 1 ) / 2 ) >= 0 ) {
				if ( KEY_LESSEQ( refArray[ heap[ parent ] ], E ) ) break;
				heap[ i ] = heap[ parent ]; 
				i = parent;
			}
		else
			while ( i != 0 && ( parent = ( i - 1 ) / 2 ) >= 0 ) {
				if ( c.compare( refArray[ heap[ parent ] ], E ) <= 0 ) break;
				heap[ i ] = heap[ parent ]; 
				i = parent;
			}

		heap[ i ] = e;

		return i;
	}

	/** Creates a semi-indirect heap in the given array.
	 *
	 * @param refArray the reference array.
	 * @param offset the first element of the reference array to be put in the heap.
	 * @param length the number of elements to be put in the heap.
	 * @param heap the array where the heap is to be created.
	 * @param c a type-specific comparator, or <code>null</code> for the natural order.
	 */

	public static KEY_GENERIC void makeHeap( final KEY_GENERIC_TYPE[] refArray, final int offset, final int length, final int[] heap, final KEY_COMPARATOR KEY_GENERIC c ) {
		ARRAYS.ensureOffsetLength( refArray, offset, length );
		if ( heap.length < length ) throw new IllegalArgumentException( "The heap length (" + heap.length + ") is smaller than the number of elements (" + length + ")" );

		int i = length;
		while( i-- != 0 ) heap[ i ] = offset + i;

		i = length / 2;
		while( i-- != 0 ) downHeap( refArray, heap, length, i, c );
	}

	/** Creates a semi-indirect heap, allocating its heap array.
	 *
	 * @param refArray the reference array.
	 * @param offset the first element of the reference array to be put in the heap.
	 * @param length the number of elements to be put in the heap.
	 * @param c a type-specific comparator, or <code>null</code> for the natural order.
	 * @return the heap array.
	 */

	public static KEY_GENERIC int[] makeHeap( final KEY_GENERIC_TYPE[] refArray, final int offset, final int length, final KEY_COMPARATOR KEY_GENERIC c ) {
		int[] heap = length <= 0 ? IntArrays.EMPTY_ARRAY : new int[ length ];
		makeHeap( refArray, offset, length, heap, c );
		return heap;
	}



	/** Creates a semi-indirect heap from a given index array.
	 *
	 * @param refArray the reference array.
	 * @param heap an array containing indices into <code>refArray</code>.
	 * @param size the number of elements in the heap.
	 * @param c a type-specific comparator, or <code>null</code> for the natural order.
	 */

	public static KEY_GENERIC void makeHeap( final KEY_GENERIC_TYPE[] refArray, final int[] heap, final int size, final KEY_COMPARATOR KEY_GENERIC c ) {
		int i = size / 2;
		while( i-- != 0 ) downHeap( refArray, heap, size, i, c );
	}

	/** Retrieves the front of a heap in a given array.
	 *
	 * <p>The <em>front</em> of a semi-indirect heap is the set of indices whose associated elements in the reference array 
	 * are equal to the element associated to the first index.
	 *
	 * <p>In several circumstances you need to know the front, and scanning linearly the entire heap is not
	 * the best strategy. This method simulates (using a partial linear scan) a breadth-first visit that 
	 * terminates when all visited nodes are larger than the element associated
	 * to the top index, which implies that no elements of the front can be found later. 
	 * In most cases this trick yields a significant improvement.
	 * 
	 * @param refArray the reference array.
	 * @param heap an array containing indices into <code>refArray</code>.
	 * @param size the number of elements in the heap.
	 * @param a an array large enough to hold the front (e.g., at least long as <code>refArray</code>).
	 * @return the number of elements actually written (starting from the first position of <code>a</code>).
	 */
	@SuppressWarnings("unchecked")
	public static KEY_GENERIC int front( final KEY_GENERIC_TYPE[] refArray, final int[] heap, final int size, final int[] a ) {
		final KEY_GENERIC_TYPE top = refArray[ heap[ 0 ] ];
		int j = 0, // The current position in a
			l = 0, // The first position to visit in the next level (inclusive)
			r = 1, // The last position to visit in the next level (exclusive)
			f = 0; // The first position (in the heap array) of the next level
		for( int i = 0; i < r; i++ ) {
			if ( i == f ) { // New level
				if ( l >= r ) break; // If we are crossing the two bounds, we're over
				f = (f << 1) + 1; // Update the first position of the next level...
				i = l; // ...and jump directly to position l
				l = -1; // Invalidate l
			}
			if ( KEY_CMP_EQ( top, refArray[ heap[ i ] ] ) ) {
				a[ j++ ] = heap[ i ];
				if ( l == -1 ) l = i * 2 + 1; // If this is the first time in this level, set l
				r = Math.min( size, i * 2 + 3 ); // Update r, but do not go beyond size
			}
		}

		return j;
	}

	/** Retrieves the front of a heap in a given array using a given comparator.
	 *
	 * <p>The <em>front</em> of a semi-indirect heap is the set of indices whose associated elements in the reference array 
	 * are equal to the element associated to the first index.
	 *
	 * <p>In several circumstances you need to know the front, and scanning linearly the entire heap is not
	 * the best strategy. This method simulates (using a partial linear scan) a breadth-first visit that 
	 * terminates when all visited nodes are larger than the element associated
	 * to the top index, which implies that no elements of the front can be found later. 
	 * In most cases this trick yields a significant improvement.
	 * 
	 * @param refArray the reference array.
	 * @param heap an array containing indices into <code>refArray</code>.
	 * @param size the number of elements in the heap.
	 * @param a an array large enough to hold the front (e.g., at least long as <code>refArray</code>).
	 * @param c a type-specific comparator.
	 * @return the number of elements actually written (starting from the first position of <code>a</code>).
	 */
	public static KEY_GENERIC int front( final KEY_GENERIC_TYPE[] refArray, final int[] heap, final int size, final int[] a, final KEY_COMPARATOR KEY_GENERIC c ) {
		final KEY_GENERIC_TYPE top = refArray[ heap[ 0 ] ];
		int j = 0, // The current position in a
			l = 0, // The first position to visit in the next level (inclusive)
			r = 1, // The last position to visit in the next level (exclusive)
			f = 0; // The first position (in the heap array) of the next level
		for( int i = 0; i < r; i++ ) {
			if ( i == f ) { // New level
				if ( l >= r ) break; // If we are crossing the two bounds, we're over
				f = (f << 1) + 1; // Update the first position of the next level...
				i = l; // ...and jump directly to position l
				l = -1; // Invalidate l
			}
			if ( c.compare( top, refArray[ heap[ i ] ] ) == 0 ) {
				a[ j++ ] = heap[ i ];
				if ( l == -1 ) l = i * 2 + 1; // If this is the first time in this level, set l
				r = Math.min( size, i * 2 + 3 ); // Update r, but do not go beyond size
			}
		}

		return j;
	}
}