/**
- Created by caoxiaohong on 17/11/18 23:14.
*/
import java.util.*;
/**
-
This interface imposes a total ordering on the objects of each class that
-
implements it. This ordering is referred to as the class's natural
-
ordering,and the class's compareTo method is referred to as
-
its natural comparison method.
-
-
这一接口会对实现了它的类施加一个整体的顺序.这一顺序被认为是类的自然顺序,类的比较方法compareTo()也被认为是自然比较方法.
-
-
Lists (and arrays) of objects that implement this interface can be sorted
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automatically by {@link Collections#sort(List) Collections.sort} (and
-
{@link Arrays#sort(Object[]) Arrays.sort}). Objects that implement this
-
interface can be used as keys in a {@linkplain SortedMap sorted map} or as
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elements in a {@linkplain SortedSet sorted set},without the need to
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specify a {@linkplain Comparator comparator}.
-
-
实现类这一接口的List类对象使用Collections.sort方法实现自动排序(升序),数组使用Arrays.sort()方法实现升序排序.实现这一接口的对象在
-
有序Map中,有序是按照key进行排序的;在有序Set中,是按照set集合中的元素排序的.而使用这些方法时,我们并不需要指定比较器comparator(说明:
-
这些排序都是默认升序排序,且排序字段只有一个.如果一个类有多个排序字段,要对这个类集合进行排序,则需要重写比较器方法).
-
-
The natural ordering for a class C is said to be consistent
-
with equals if and only if e1.compareTo(e2) == 0 has
-
the same boolean value as e1.equals(e2) for every
-
e1 and e2 of class C. Note that null
-
is not an instance of any class,and e.compareTo(null) should
-
throw a NullPointerException even though e.equals(null)
-
returns false.
-
-
对于类C的任意变量e1和e2,当且仅当e1.compareTo(e2) == 0的和e1.equals(e2)有相同的返回值时,类的自然排序才能被认为是和equals方法的
-
结果保持一致的.
-
注意:虽然e.equals(null)返回值为false,但是null不是任何类的实例,所以如果调用方法e.compareTo(null)应该抛出异常NullPointerException
-
-
It is strongly recommended (though not required) that natural orderings be
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consistent with equals. This is so because sorted sets (and sorted maps)
-
without explicit comparators behave "strangely" when they are used with
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elements (or keys) whose natural ordering is inconsistent with equals. In
-
particular,such a sorted set (or sorted map) violates the general contract
-
for set (or map),which is defined in terms of the equals
-
method.
-
-
我们强烈建议(尽管并不是必须的):自然排序应该和equals结果保持一致(这是因为自然排序用到了compare方法,这里的意思是需要满足关系:
-
e1.compareTo(e2) == 0的和e1.equals(e2)有相同的返回值).这是因为没有明确比较器的有序set(和有序map)
-
(什么叫没有明确比较器?对于TreeSet和TreeMap,都有多个实例构造函数,而其中有一个无参构造函数,就指定了比较器comparator = null;同时,* 这也说明了,如果你想在建立有序set或者有序map时就指定它的排序方法,那么可以给构造函数传入一个比较器参数即可.),如果自然排序不能和equals方法
-
保持一致,那么它们会表现出一些诡异的行为.而且,这样的有序set(或者map)和equals中通用规范是矛盾的。
-
-
For example,if one adds two keys a and b such that
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(!a.equals(b) && a.compareTo(b) == 0) to a sorted
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set that does not use an explicit comparator,the second add
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operation returns false (and the size of the sorted set does not increase)
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because a and b are equivalent from the sorted set's
-
perspective.
-
-
举个例子:如果向一个没有明确比较器的有序set中添加2个值a和b(a.equals(b)值为false,而 a.compareTo(b) == 0 值为true(a==b)),* 那么第二次的add操作会失败,因为从有序set的角度看,a和b是等值的.(出现这种事情就很诡异了,明明a在add之后,b再add时,这是两个不同的值,应该被正常
-
添加到集合中,但是却被拒绝了,因为add时,使用到了方法compare,去比较插入的值是否存在,而根据返回结果为0,这样二者就被认为是相同的值.所以
-
我们一再强调:为避免这种异常,自然排序要和equals结果保持一致,必须满足e1.compareTo(e2) == 0的和e1.equals(e2)始终有相同的返回值)
-
-
Virtually all Java core classes that implement Comparable have natural
-
orderings that are consistent with equals. One exception is
-
java.math.BigDecimal,whose natural ordering equates
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BigDecimal objects with equal values and different precisions
-
(such as 4.0 and 4.00).
-
-
实质上,所有实现了Comparable接口的java核心类,都满足自然排序的要求.唯一的例外类是:BigDecimal类.它的自然排序要求是:值相等而精度是不等的.
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所以,精度不同但值相同的两个BigDecimal对象,它们的equals方法返回值应该为true,而compare()方法应该返回0:
-
测试用例如下:
-
import java.math.BigDecimal;
-
public class testCode {
public static void main(String[] args){
BigDecimal a=new BigDecimal(2.30);
BigDecimal b=new BigDecimal(2.3);
System.out.println("a.equals(b): "+a.equals(b));
System.out.println("a.compareTo(b): "+a.compareTo(b));
}
}
输出结果:
a.equals(b): true
a.compareTo(b): 0
-
-
For the mathematically inclined,the relation that defines
-
the natural ordering on a given class C is:
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{(x,y) such that x.compareTo(y) <= 0}.
-
The quotient for this total order is:
{(x,y) such that x.compareTo(y) == 0}.
It follows immediately from the contract for compareTo that the
quotient is an equivalence relation on C,and that the
natural ordering is a total order on C. When we say that a
class's natural ordering is consistent with equals,we mean that the
quotient for the natural ordering is the equivalence relation defined by
the class's {@link Object#equals(Object) equals(Object)} method:
{(x,y) such that x.equals(y)}.
商是类C上面的等价关系,自然排序是对类C上面的元素整体的一个排序,这符合compareTo的通用规范.
当我们说一个类的自然排序是和equals结果保持一致.那就意味着自然排序的商是由这个类的equals方法定义的等价关系.
Q:什么叫和equals方法结果保持一致呢?
A:(1)要知道自然排序是指有序Map和有序Set没有指定比较器,也就是这样的有序Map和有序Set里面的元素是采用默认的升序排序的(Map按照key升序排序,* Set按照element升序排序).
(2)在自然排序中,用到了方法compare,所谓的自然排序和equals保持一致是指满足这样一个公式:
x.compareTo(y)==0和x.equals(y)返回的结果值一致.
至于为什么这样要求,下面会有解释的(因为不一致,会出现很诡异的问题,哈哈哈)
This interface is a member of the
<a href="{@docRoot}/../technotes/guides/collections/index.html">
Java Collections Framework.
@param the type of objects that this object may be compared to
@author Josh Bloch
@see java.util.Comparator
@since 1.2
*/
public interface Comparable {
/**
- Compares this object with the specified object for order. Returns a
- negative integer,zero,or a positive integer as this object is less
- than,equal to,or greater than the specified object.
-
- 将当前对象a和指定对象b进行比较.
- a>b:返回正数;
- a=b:返回0;
- a<b:返回负数;
-
-
The implementor must ensure sgn(x.compareTo(y)) ==
- -sgn(y.compareTo(x)) for all x and y. (This
- implies that x.compareTo(y) must throw an exception if
- y.compareTo(x) throws an exception.)
-
- 实现这一接口的类必须保证对于任意的x和y,都应该满足的条件是:sgn(x.compareTo(y)) == -sgn(y.compareTo(x))
- 这意味如果y.compareTo(x)抛出异常,则x.compareTo(y)必须抛出异常.
-
-
The implementor must also ensure that the relation is transitive:
- (x.compareTo(y)>0 && y.compareTo(z)>0) implies
- x.compareTo(z)>0.
-
- 实现这个接口的类还必须保证:联系是具有传递性的:
- 如果: x.compareTo(y) && y.compareTo(z)成立,则:x.compareTo(z)也成立.
-
-
Finally,the implementor must ensure that x.compareTo(y)==0
- implies that sgn(x.compareTo(z)) == sgn(y.compareTo(z)),for
- all z.
-
- 最后,实现这个的类必须保证:对于任意的z,如果x.compareTo(y)==0成立,则sgn(x.compareTo(z)) == sgn(y.compareTo(z))也成立.
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-
It is strongly recommended,but not strictly required that
- (x.compareTo(y)==0) == (x.equals(y)). Generally speaking,any
- class that implements the Comparable interface and violates
- this condition should clearly indicate this fact. The recommended
- language is "Note: this class has a natural ordering that is
- inconsistent with equals."
-
- 我们强烈建议,但并非严格约定:x.compareTo(y)==0和x.equals(y)的返回值一致.
- 通常,任何实现了Comparable接口但违反了这一条件的类应该明确的表明这一事实.
- 作为这一事实的提醒语言,它可以这样写: 注意:这个类的自然排序并没有和equals结果保持一致.
-
-
In the foregoing description,the notation
- sgn(expression) designates the mathematical
- signum function,which is defined to return one of -1,* 0,or 1 according to whether the value of
- expression is negative,zero or positive.
-
- 在前面的表述中,用到的符号sgn是数学函数signum的一种表达式,它定义了:
- sgn的参数为负数,返回-1;
- sgn的参数为正数,返回1;
- sgn的参数为0,返回0.
-
- @param o the object to be compared.
- @return a negative integer,or a positive integer as this object
- is less than,or greater than the specified object.
-
- @throws NullPointerException if the specified object is null
- @throws ClassCastException if the specified object's type prevents it
- from being compared to this object.
*/
public int compareTo(T o);
}
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