试画出基于Batcher比较器的双调序列(8,6,4,2,0,1,3,5)的双调归并排序网络,并在标出每个Batcher比较器的输入和输出数据。
时间: 2024-05-18 18:15:27 浏览: 173
batchersort:golang包提供了Batcher对任意长度的2个排序序列进行合并排序的方法
以下是双调归并排序网络的示意图:
```
+--------+ +--------+ +--------+ +--------+
| / | | / | | / | | / |
8 --+ 4 6 +--+ 2 0 +--+ 1 3 +--+ 5 7 +
| \ | | \ | | \ | | \ |
+--------+ +--------+ +--------+ +--------+
| | | |
+-------------------------------------------+
| |
+------------------------+------------------+
|
+------------------------+------------------+
| |
+--------+ +--------+ +--------+ +--------+
| / | | / | | / | | / |
4 --+ 6 8 +--+ 0 2 +--+ 1 3 +--+ 5 7 +
| \ | | \ | | \ | | \ |
+--------+ +--------+ +--------+ +--------+
| | | |
+-------------------------------------------+
| |
+------------------------+------------------+
|
+-------------------------------------------+
| |
+--------+ +--------+ +--------+ +--------+
| / | | / | | / | | / |
0 --+ 2 4 +--+ 1 3 +--+ 5 7 +--+ 6 8 +
| \ | | \ | | \ | | \ |
+--------+ +--------+ +--------+ +--------+
| | | |
+-------------------------------------------+
| |
+------------------------+------------------+
|
+-------------------------------------------+
| |
+--------+ +--------+ +--------+ +--------+
| / | | / | | / | | / |
0 --+ 1 2 +--+ 3 4 +--+ 5 6 +--+ 7 8 +
| \ | | \ | | \ | | \ |
+--------+ +--------+ +--------+ +--------+
| | | |
+-------------------------------------------+
| |
+------------------------+------------------+
|
+-------------------------------------------+
| |
+--------+ +--------+ +--------+ +--------+
| / | | / | | / | | / |
0 --+ 1 3 +--+ 2 4 +--+ 5 7 +--+ 6 8 +
| \ | | \ | | \ | | \ |
+--------+ +--------+ +--------+ +--------+
| | | |
+-------------------------------------------+
| |
+------------------------+------------------+
|
+-------------------------------------------+
| |
+--------+ +--------+ +--------+ +--------+
| / | | / | | / | | / |
0 --+ 1 5 +--+ 3 7 +--+ 2 4 +--+ 6 8 +
| \ | | \ | | \ | | \ |
+--------+ +--------+ +--------+ +--------+
| | | |
+-------------------------------------------+
| |
+------------------------+------------------+
|
+-------------------------------------------+
| |
+--------+ +--------+ +--------+ +--------+
| / | | / | | / | | / |
0 --+ 1 7 +--+ 5 6 +--+ 3 4 +--+ 2 8 +
| \ | | \ | | \ | | \ |
+--------+ +--------+ +--------+ +--------+
| | | |
+-------------------------------------------+
| |
+------------------------+------------------+
|
+-------------------------------------------+
| |
+--------+ +--------+ +--------+ +--------+
| / | | / | | / | | / |
0 --+ 1 8 +--+ 7 6 +--+ 5 4 +--+ 3 2 +
| \ | | \ | | \ | | \ |
+--------+ +--------+ +--------+ +--------+
| | | |
+-------------------------------------------+
| |
+------------------------+------------------+
|
```
其中,虚线表示比较器,箭头表示数据流动的方向。每一个Batcher比较器的输入和输出数据如下:
1. 第一层Batcher比较器的输入为(8, 6, 4, 2)和(0, 1, 3, 5),输出为(6, 8, 2, 0)和(1, 3, 5, 4)。
2. 第二层Batcher比较器的输入为(6, 8, 2, 0)和(1, 3, 5, 4),输出为(8, 6, 4, 2)和(5, 3, 1, 0)。
3. 第三层Batcher比较器的输入为(8, 6, 4, 2)和(5, 3, 1, 0),输出为(8, 6, 4, 2)和(0, 1, 3, 5)。
4. 第四层Batcher比较器的输入为(8, 6, 4, 2)和(0, 1, 3, 5),输出为(8, 6, 4, 2, 1, 3, 5, 7)和(0, 1, 2, 3, 4, 5, 6, 8)。
阅读全文