将二维数组转换为一维数组很容易，但是如何将超过 2 维的多维数组转换为一维数组呢？例如，假设我有 int [5][5][5] x 和 int [125] y，我想将 x[3][4][2] 的值放在 y 的正确位置？
希望这是有道理的。
最佳答案
这里已经有几个技术上很好的答案，但这里有一种更直观的理解方式......
好的，所以你知道如何从一维情况转到二维情况。
一维数组如下所示:
int [5] :
+-----+-----+-----+-----+-----+
| 0 | 1 | 2 | 3 | 4 |
| | | | | |
+-----+-----+-----+-----+-----+
二维数组如下所示:
int [5][5] :
+-----+-----+-----+-----+-----+
| 0,0 | 0,1 | 0,2 | 0,3 | 0,4 |
| | | | | |
+-----+-----+-----+-----+-----+
| 1,0 | 1,1 | 1,2 | 1,3 | 1,4 |
| | | | | |
+-----+-----+-----+-----+-----+
| 2,0 | 2,1 | 2,2 | 2,3 | 2,4 |
| | | | | |
+-----+-----+-----+-----+-----+
| 3,0 | 3,1 | 3,2 | 3,3 | 3,4 |
| | | | | |
+-----+-----+-----+-----+-----+
| 4,0 | 4,1 | 4,2 | 4,3 | 4,4 |
| | | | | |
+-----+-----+-----+-----+-----+
您可以像这样想象到相应一维数组的转换:
+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+- - -
| 0,0 | 0,1 | 0,2 | 0,3 | 0,4 | 1,0 | 1,1 | 1,2 | 1,3 | 1,4 | etc.
| | | | | | | | | | |
+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+- - -
vvv
+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+- - -
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | etc.
| | | | | | | | | | |
+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+- - -
但另一种思考方式是描绘原始数组，但重新标记 - 如下所示:
int [5][5] :
+-----+-----+-----+-----+-----+ +-----+-----+-----+-----+-----+
| 0,0 | 0,1 | 0,2 | 0,3 | 0,4 | | 0 | 1 | 2 | 3 | 4 |
| | | | | | | | | | | |
+-----+-----+-----+-----+-----+ +-----+-----+-----+-----+-----+
| 1,0 | 1,1 | 1,2 | 1,3 | 1,4 | | 5 | 6 | 7 | 8 | 9 |
| | | | | | | | | | | |
+-----+-----+-----+-----+-----+ +-----+-----+-----+-----+-----+
| 2,0 | 2,1 | 2,2 | 2,3 | 2,4 | => | 10 | 11 | 12 | 13 | 14 |
| | | | | | | | | | | |
+-----+-----+-----+-----+-----+ +-----+-----+-----+-----+-----+
| 3,0 | 3,1 | 3,2 | 3,3 | 3,4 | | 15 | 16 | 17 | 18 | 19 |
| | | | | | | | | | | |
+-----+-----+-----+-----+-----+ +-----+-----+-----+-----+-----+
| 4,0 | 4,1 | 4,2 | 4,3 | 4,4 | | 20 | 21 | 22 | 23 | 24 |
| | | | | | | | | | | |
+-----+-----+-----+-----+-----+ +-----+-----+-----+-----+-----+
2-D array index [i][j] => 1-D array index [i*5 + j]
...如果你这样想，3 维的情况也遵循同样的原则(对于更高的维度，依此类推 - 它变得越来越难以形象化!):
int [5][5][5] :
+-----+-----+-----+-----+-----+ +-----+-----+-----+-----+-----+
|+-----+-----+-----+-----+-----+ |+-----+-----+-----+-----+-----+
||+-----+-----+-----+-----+-----+ ||+-----+-----+-----+-----+-----+
|||+-----+-----+-----+-----+-----+ |||+-----+-----+-----+-----+-----+
||||1,0,0|1,0,1|1,0,2|1,0,3|1,0,4| |||| 25 | 26 | 27 | 28 | 29 |
|||| +-----+-----+-----+-----+-----+ |||| +-----+-----+-----+-----+-----+
|||+---|0,0,0|0,0,1|0,0,2|0,0,3|0,0,4| |||+---| 0 | 1 | 2 | 3 | 4 |
||||1,1| | | | | | |||| 30| | | | | |
|||| +-----+-----+-----+-----+-----+ |||| +-----+-----+-----+-----+-----+
|||+---|0,1,0|0,1,1|0,1,2|0,1,3|0,1,4| |||+---| 5 | 6 | 7 | 8 | 9 |
||||1,2| | | | | | |||| 35| | | | | |
|||| +-----+-----+-----+-----+-----+ |||| +-----+-----+-----+-----+-----+
|||+---|0,2,0|0,2,1|0,2,2|0,2,3|0,2,4|=>|||+---| 10 | 11 | 12 | 13 | 14 |
||||1,3| | | | | | |||| 40| | | | | |
|||| +-----+-----+-----+-----+-----+ |||| +-----+-----+-----+-----+-----+
+||+---|0,3,0|0,3,1|0,3,2|0,3,3|0,3,4| +||+---| 15 | 16 | 17 | 18 | 19 |
+||1,4| | | | | | +|| 45| | | | | |
+| +-----+-----+-----+-----+-----+ +| +-----+-----+-----+-----+-----+
+---|0,4,0|0,4,1|0,4,2|0,4,3|0,4,4| +---| 20 | 21 | 22 | 23 | 24 |
| | | | | | | | | | | |
+-----+-----+-----+-----+-----+ +-----+-----+-----+-----+-----+
3-D array index [i][j][k] => 1-D array index [i*5*5 + j*5 + k]
关于将多维数组转换为一维数组的算法，我们在Stack Overflow上找到一个类似的问题： https://stackoverflow.com/questions/3613429/