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				/*				 * @(#)Comparator.java	1.24 06/10/10				 *				 * Copyright  1990-2008 Sun Microsystems, Inc. All Rights Reserved.  				 * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER  				 *   				 * This program is free software; you can redistribute it and/or  				 * modify it under the terms of the GNU General Public License version  				 * 2 only, as published by the Free Software Foundation.   				 *   				 * This program is distributed in the hope that it will be useful, but  				 * WITHOUT ANY WARRANTY; without even the implied warranty of  				 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU  				 * General Public License version 2 for more details (a copy is  				 * included at /legal/license.txt).   				 *   				 * You should have received a copy of the GNU General Public License  				 * version 2 along with this work; if not, write to the Free Software  				 * Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA  				 * 02110-1301 USA   				 *   				 * Please contact Sun Microsystems, Inc., 4150 Network Circle, Santa  				 * Clara, CA 95054 or visit www.sun.com if you need additional  				 * information or have any questions. 				 *				 */								package java.util;								/**				 * A comparison function, which imposes a total ordering on some				 * collection of objects.  Comparators can be passed to a sort method (such as				 * Collections.sort) to allow precise control over the sort order.				 * Comparators can also be used to control the order of certain data				 * structures (such as TreeSet or TreeMap).				 *				 * The ordering imposed by a Comparator c on a set of elements				 * S is said to be consistent with equals if and only if				 * (compare((Object)e1, (Object)e2)==0) has the same boolean value as				 * e1.equals((Object)e2) for every e1 and e2 in				 * S.				 *				 * Caution should be exercised when using a comparator capable of imposing an				 * ordering inconsistent with equals to order a sorted set (or sorted map).				 * Suppose a sorted set (or sorted map) with an explicit Comparator c				 * is used with elements (or keys) drawn from a set S.  If the				 * ordering imposed by c on S is inconsistent with equals,				 * the sorted set (or sorted map) will behave "strangely."  In particular the				 * sorted set (or sorted map) will violate the general contract for set (or				 * map), which is defined in terms of equals.				 * 				 * For example, if one adds two keys a and b such that				 * (a.equals((Object)b) && c.compare((Object)a, (Object)b) != 0) to a				 * sorted set with comparator c, the second add operation				 * will return false (and the size of the sorted set will not increase)				 * because a and b are equivalent from the sorted set's				 * perspective.				 *				 * Note: It is generally a good idea for comparators to implement				 * java.io.Serializable, as they may be used as ordering methods in				 * serializable data structures (like TreeSet, TreeMap).  In				 * order for the data structure to serialize successfully, the comparator (if				 * provided) must implement Serializable.				 *				 * For the mathematically inclined, the relation that defines				 * the total order that a given comparator c imposes on a				 * given set of objects S is:				 *       {(x, y) such that c.compare((Object)x, (Object)y) <= 0}.				 *  The quotient for this total order is:				 *       {(x, y) such that c.compare((Object)x, (Object)y) == 0}.				 * 				 *				 * It follows immediately from the contract for compare that the				 * quotient is an equivalence relation on S, and that the				 * natural ordering is a total order on S.  When we say that				 * the ordering imposed by c on S is consistent with				 * equals, we mean that the quotient for the natural ordering is the				 * equivalence relation defined by the objects' equals(Object)				 * method(s):				 *       {(x, y) such that x.equals((Object)y)}.				 * 				 *				 * This interface is a member of the 				 * 				 * Java Collections Framework.				 *				 * @author  Josh Bloch				 * @version 1.15, 02/02/00				 * @see Comparable				 * @see Arrays#sort(Object[], Comparator)				 * @see TreeMap				 * @see TreeSet				 * @see SortedMap				 * @see SortedSet				 * @see java.io.Serializable				 * @since 1.2				 */								public interface Comparator {				    /**				     * Compares its two arguments for order.  Returns a negative integer,				     * zero, or a positive integer as the first argument is less than, equal				     * to, or greater than the second.				     *				     * The implementor must ensure that sgn(compare(x, y)) ==				     * -sgn(compare(y, x)) for all x and y.  (This				     * implies that compare(x, y) must throw an exception if and only				     * if compare(y, x) throws an exception.)				     *				     * The implementor must also ensure that the relation is transitive:				     * ((compare(x, y)>0) && (compare(y, z)>0)) implies				     * compare(x, z)>0.				     *				     * Finally, the implementer must ensure that compare(x, y)==0				     * implies that sgn(compare(x, z))==sgn(compare(y, z)) for all				     * z.				     *				     * It is generally the case, but not strictly required that 				     * (compare(x, y)==0) == (x.equals(y)).  Generally speaking,				     * any comparator that violates this condition should clearly indicate				     * this fact.  The recommended language is "Note: this comparator				     * imposes orderings that are inconsistent with equals."				     * 				     * @param o1 the first object to be compared.				     * @param o2 the second object to be compared.				     * @return a negative integer, zero, or a positive integer as the				     * 	       first argument is less than, equal to, or greater than the				     *	       second. 				     * @throws ClassCastException if the arguments' types prevent them from				     * 	       being compared by this Comparator.				     */				    int compare(Object o1, Object o2);								    /**				     * 				     * Indicates whether some other object is "equal to" this				     * Comparator.  This method must obey the general contract of				     * Object.equals(Object).  Additionally, this method can return				     * true only if the specified Object is also a comparator				     * and it imposes the same ordering as this comparator.  Thus,				     * comp1.equals(comp2) implies that sgn(comp1.compare(o1,				     * o2))==sgn(comp2.compare(o1, o2)) for every object reference				     * o1 and o2.				     *				     * Note that it is always safe not to override				     * Object.equals(Object).  However, overriding this method may,				     * in some cases, improve performance by allowing programs to determine				     * that two distinct Comparators impose the same order.				     *				     * @param   obj   the reference object with which to compare.				     * @return  true only if the specified object is also				     *		a comparator and it imposes the same ordering as this				     *		comparator.				     * @see     java.lang.Object#equals(java.lang.Object)				     * @see java.lang.Object#hashCode()				     */				    boolean equals(Object obj);				}							

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