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25 
26 package java.lang;
27 import java.util.*;
28 
29 /**
30  * This interface imposes a total ordering on the objects of each class that
31  * implements it.  This ordering is referred to as the class's <i>natural
32  * ordering</i>, and the class's {@code compareTo} method is referred to as
33  * its <i>natural comparison method</i>.<p>
34  *
35  * Lists (and arrays) of objects that implement this interface can be sorted
36  * automatically by {@link Collections#sort(List) Collections.sort} (and
37  * {@link Arrays#sort(Object[]) Arrays.sort}).  Objects that implement this
38  * interface can be used as keys in a {@linkplain SortedMap sorted map} or as
39  * elements in a {@linkplain SortedSet sorted set}, without the need to
40  * specify a {@linkplain Comparator comparator}.<p>
41  *
42  * The natural ordering for a class {@code C} is said to be <i>consistent
43  * with equals</i> if and only if {@code e1.compareTo(e2) == 0} has
44  * the same boolean value as {@code e1.equals(e2)} for every
45  * {@code e1} and {@code e2} of class {@code C}.  Note that {@code null}
46  * is not an instance of any class, and {@code e.compareTo(null)} should
47  * throw a {@code NullPointerException} even though {@code e.equals(null)}
48  * returns {@code false}.<p>
49  *
50  * It is strongly recommended (though not required) that natural orderings be
51  * consistent with equals.  This is so because sorted sets (and sorted maps)
52  * without explicit comparators behave "strangely" when they are used with
53  * elements (or keys) whose natural ordering is inconsistent with equals.  In
54  * particular, such a sorted set (or sorted map) violates the general contract
55  * for set (or map), which is defined in terms of the {@code equals}
56  * method.<p>
57  *
58  * For example, if one adds two keys {@code a} and {@code b} such that
59  * {@code (!a.equals(b) && a.compareTo(b) == 0)} to a sorted
60  * set that does not use an explicit comparator, the second {@code add}
61  * operation returns false (and the size of the sorted set does not increase)
62  * because {@code a} and {@code b} are equivalent from the sorted set's
63  * perspective.<p>
64  *
65  * Virtually all Java core classes that implement {@code Comparable} have natural
66  * orderings that are consistent with equals.  One exception is
67  * {@code java.math.BigDecimal}, whose natural ordering equates
68  * {@code BigDecimal} objects with equal values and different precisions
69  * (such as 4.0 and 4.00).<p>
70  *
71  * For the mathematically inclined, the <i>relation</i> that defines
72  * the natural ordering on a given class C is:<pre>{@code
73  *       {(x, y) such that x.compareTo(y) <= 0}.
74  * }</pre> The <i>quotient</i> for this total order is: <pre>{@code
75  *       {(x, y) such that x.compareTo(y) == 0}.
76  * }</pre>
77  *
78  * It follows immediately from the contract for {@code compareTo} that the
79  * quotient is an <i>equivalence relation</i> on {@code C}, and that the
80  * natural ordering is a <i>total order</i> on {@code C}.  When we say that a
81  * class's natural ordering is <i>consistent with equals</i>, we mean that the
82  * quotient for the natural ordering is the equivalence relation defined by
83  * the class's {@link Object#equals(Object) equals(Object)} method:<pre>
84  *     {(x, y) such that x.equals(y)}. </pre><p>
85  *
86  * This interface is a member of the
87  * <a href="{@docRoot}/java.base/java/util/package-summary.html#CollectionsFramework">
88  * Java Collections Framework</a>.
89  *
90  * @param <T> the type of objects that this object may be compared to
91  *
92  * @author  Josh Bloch
93  * @see java.util.Comparator
94  * @since 1.2
95  */
96 public interface Comparable<T> {
97     /**
98      * Compares this object with the specified object for order.  Returns a
99      * negative integer, zero, or a positive integer as this object is less
100      * than, equal to, or greater than the specified object.
101      *
102      * <p>The implementor must ensure
103      * {@code sgn(x.compareTo(y)) == -sgn(y.compareTo(x))}
104      * for all {@code x} and {@code y}.  (This
105      * implies that {@code x.compareTo(y)} must throw an exception iff
106      * {@code y.compareTo(x)} throws an exception.)
107      *
108      * <p>The implementor must also ensure that the relation is transitive:
109      * {@code (x.compareTo(y) > 0 && y.compareTo(z) > 0)} implies
110      * {@code x.compareTo(z) > 0}.
111      *
112      * <p>Finally, the implementor must ensure that {@code x.compareTo(y)==0}
113      * implies that {@code sgn(x.compareTo(z)) == sgn(y.compareTo(z))}, for
114      * all {@code z}.
115      *
116      * <p>It is strongly recommended, but <i>not</i> strictly required that
117      * {@code (x.compareTo(y)==0) == (x.equals(y))}.  Generally speaking, any
118      * class that implements the {@code Comparable} interface and violates
119      * this condition should clearly indicate this fact.  The recommended
120      * language is "Note: this class has a natural ordering that is
121      * inconsistent with equals."
122      *
123      * <p>In the foregoing description, the notation
124      * {@code sgn(}<i>expression</i>{@code )} designates the mathematical
125      * <i>signum</i> function, which is defined to return one of {@code -1},
126      * {@code 0}, or {@code 1} according to whether the value of
127      * <i>expression</i> is negative, zero, or positive, respectively.
128      *
129      * @param   o the object to be compared.
130      * @return  a negative integer, zero, or a positive integer as this object
131      *          is less than, equal to, or greater than the specified object.
132      *
133      * @throws NullPointerException if the specified object is null
134      * @throws ClassCastException if the specified object's type prevents it
135      *         from being compared to this object.
136      */
compareTo(T o)137     public int compareTo(T o);
138 }
139