生成某些向量元素的所有可能组合(笛卡尔积) [英] Generate all possible combinations of the elements of some vectors (Cartesian product)
问题描述
我想生成给定数量向量的元素的所有可能组合.
I would like to generate all the possible combinations of the elements of a given number of vectors.
例如,对于[1 2]
、[1 2]
和[4 5]
我要生成的元素:
For example, for [1 2]
, [1 2]
and [4 5]
I want to generate the elements:
<代码>[1 1 4;1 1 5;1 2 4;1 2 5;2 1 4;2 1 5;2 2 4;2 2 5]
问题是我不知道需要计算组合的向量数量.在这种情况下可能有 3 个,也可能有 10 个,我需要一个概括.你能在 MATLAB 中帮我解决这个问题吗?是否已经有一个预定义的函数可以完成这个任务?
The problem is that I don't know the number of vectors for which I need to calculate the combinations. There might be 3 as in this case, or there may be 10, and I need a generalization. Can you please help me to this in MATLAB? Is there already a predefined function that can do this task?
推荐答案
在 FileExchange 中尝试 ALLCOMB 函数.
Try ALLCOMB function at FileExchange.
如果将向量存储在元胞数组中,则可以像这样运行:
If you store you vectors in a cell array, you can run it like this:
a = {[1 2], [1 2], [4 5]};
allcomb(a{:})
ans =
1 1 4
1 1 5
1 2 4
1 2 5
2 1 4
2 1 5
2 2 4
2 2 5
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