Collections之二分查找

源码如下:

 1 /**
 2      * Searches the specified list for the specified object using the binary
 3      * search algorithm.  The list must be sorted into ascending order
 4      * according to the {@linkplain Comparable natural ordering} of its
 5      * elements (as by the {@link #sort(List)} method) prior to making this
 6      * call.  If it is not sorted, the results are undefined.  If the list
 7      * contains multiple elements equal to the specified object, there is no
 8      * guarantee which one will be found.
 9      *
10      * <p>This method runs in log(n) time for a "random access" list (which
11      * provides near-constant-time positional access).  If the specified list
12      * does not implement the {@link RandomAccess} interface and is large,
13      * this method will do an iterator-based binary search that performs
14      * O(n) link traversals and O(log n) element comparisons.
15      *
16      * @param  list the list to be searched.
17      * @param  key the key to be searched for.
18      * @return the index of the search key, if it is contained in the list;
19      *           otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
20      *           <i>insertion point</i> is defined as the point at which the
21      *           key would be inserted into the list: the index of the first
22      *           element greater than the key, or <tt>list.size()</tt> if all
23      *           elements in the list are less than the specified key.  Note
24      *           that this guarantees that the return value will be &gt;= 0 if
25      *           and only if the key is found.
26      * @throws ClassCastException if the list contains elements that are not
27      *           <i>mutually comparable</i> (for example, strings and
28      *           integers), or the search key is not mutually comparable
29      *           with the elements of the list.
30      */
31 
32 private static final int BINARYSEARCH_THRESHOLD   = 5000;//二分查找的阈值
33 
34 public static <T> int binarySearch(List<? extends Comparable<? super T>> list, T key) {
35     if(list instanceof RandomAccess || list.size() < BINARYSEARCH_THRESHOLD)//RandomAccess,是一个接口,用来标记一个list是支持高性能随机访问的
36         return Collections.indexedBinarySearch(list, key);
37     else
38         return Collections.iteratorBinarySearch(list, key);
39 }
40 
41 private static <T> int indexedBinarySearch(List<? extends Comparable<? super T>> list, T key) {
42     int low = 0;
43     int high = list.size() - 1;
44     while(low <= high) {
45         int mid = (low + high) >>> 1;//>>> 无符号右移,空位补0;右移一位,相当于除以2,但右移的运算速度更快,若使用(low+high)/2求中间位置容易溢出
46         Comparable<? super T> midVal = list.get(mid);
47         int cmp = midVal.compareTo(key);
48         
49         if(cmp < 0)            
50             low = mid + 1;
51         else if(cmp > 0)
52             high = mid - 1;
53         else
54             return mid;//key found
55     }
56     return  -(low + 1);//key not found
57 }
58 
59 private static <T> int iteratorBinarySearch(List<? extends Comparable<? super T>> list, T key) {
60     int low = 0;
61     int high = list.size() - 1;
62     ListIterator<? extends Comparable<? super T>> i = list.listInterator();
63     while (low <= high) {
64         int mid = (low + high) >>> 1;
65         Comparable<? super T> midVal = get(i, mid);
66         int cmp = midVal.compareTo(key);
67         
68         if(cmp < 0) {
69             low = mid + 1;
70         } else if(cmp > 0) {
71             high = mid - 1;
72         } else {
73             return mid;// key found
74         }
75     }
76     return -(low + 1);// key not found        
77 }

注:

(1)list需先按照升序排好;

(2)如果list中有重复的元素,结果是不确定的;

(3)List<? extends Comparable<? super T>>,java泛型,<? extends T> 表示类型的上界,表示参数的类型的可能是T或是T的子类;<? super T> 表示类型的下界,表示参数的类型是此类型T的父类型,直至Object;

原文地址:https://www.cnblogs.com/lemon-now/p/5112277.html