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桶排序

时间:2014-09-13 17:11:55      阅读:217      评论:0      收藏:0      [点我收藏+]

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参考资料:算法导论

note1:桶排序是另外一种以O(n)或者接近O(n)的复杂度排序的算法. 它假设输入的待排序元素是等可能的落在等间隔的值区间内.一个长度为N的数组使用桶排序, 需要长度为N的辅助数组. 等间隔的区间称为桶, 每个桶内落在该区间的元素. 桶排序是基数排序的一种归纳结果

note2:待排序元素越均匀, 桶排序的效率越高. 均匀意味着每个桶在中间过程中容纳的元素个数都差不多,不会出现特别少或者特别多的情况, 这样在排序子程序进行桶内排序的过程中会达到最优效率.

note3:将元素通过恰当的映射关系将元素尽量等数量的分到各个桶(值区间)里面, 这个映射关系就是桶排序算法的关键.桶的标记(数组索引Index)的大小也要和值区间有对应关系

代码:

 1 package sorts;
 2 
 3 import java.util.Arrays;
 4 import java.util.Random;
 5 
 6 class Bucket {
 7     private double data;
 8     private Bucket next;
 9     public double getData() {
10         return data;
11     }
12     public void setData(double data) {
13         this.data = data;
14     }
15     public Bucket getNext() {
16         return next;
17     }
18     public void setNext(Bucket next) {
19         this.next = next;
20     }
21     @Override
22     public String toString() {
23         return Double.toString(data);
24     }
25 }
26 
27 public class BucketSort {
28     
29     /**
30      * Input element MUST be in the range [0, 1). Or
31      * the program may not function properly.
32      * */
33     public static void sort(double[] a) {
34         // init
35         Bucket[] buckets = new Bucket[a.length];
36         int n = a.length;
37         // sort
38         for (int i = 0; i < a.length; i++) {
39             addBucket(buckets, (int)(a[i] * n), a[i]);
40         }
41         retrieveBuckets(buckets, a);
42     }
43     
44     private static void retrieveBuckets(Bucket[] buckets, double[] a) {
45         Bucket iterator = null;
46         int index = 0;
47         for (int i = 0; i < buckets.length; i++) {
48             iterator = buckets[i];
49             while (iterator!=null) {
50                 a[index++] = iterator.getData();
51                 iterator = iterator.getNext();
52             }
53         }
54     }
55 
56     // no need for insertion sort
57     private static void addBucket(Bucket[] buckets, int index, double data) {
58         Bucket iterator = buckets[index];
59         if (iterator == null) {
60             Bucket tmp = new Bucket();
61             tmp.setData(data);
62             tmp.setNext(buckets[index]);
63             buckets[index] = tmp;
64         } else {
65             Bucket tmp = new Bucket();
66             Bucket previous = iterator;
67             tmp.setData(data);
68             while ((iterator!=null) && 
69                     (data > iterator.getData())) {
70                 previous = iterator;
71                 iterator = iterator.getNext();
72             }
73             if (iterator==previous) {
74                 tmp.setNext(iterator.getNext());
75                 iterator.setNext(tmp);
76             } else {
77                 previous.setNext(tmp);
78                 tmp.setNext(iterator);
79             }
80         }
81     }
82     
83     // test
84     public static void main(String[] args) {
85         Random random = new Random();
86         int num = 10;
87         double[] a = new double[num];
88         for (int i = 0; i < num; i++) {
89             a[i] = random.nextDouble();
90         }
91         BucketSort.sort(a);
92         System.out.println(Arrays.toString(a));
93     }
94     
95 }

 

桶排序

标签:style   blog   color   io   os   使用   java   ar   for   

原文地址:http://www.cnblogs.com/qrlozte/p/3969973.html

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