生成某些向量的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

我想生成给定数量的向量的元素的所有可能组合.

例如，对于[1 2]，[1 2]和[4 5]，我要生成元素:

[1 1 4; 1 1 5; 1 2 4; 1 2 5; 2 1 4; 2 1 5; 2 2 4; 2 2 5]

问题是我不知道计算组合所需的向量数量.在这种情况下，可能有3个，或者可能有10个，我需要 generalization .您能在MATLAB中帮助我吗?已经有可以执行此任务的预定义功能吗?

解决方案

在FileExchange尝试 ALLCOMB 函数. /p>

如果将向量存储在单元格数组中，则可以这样运行它:

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

I would like to generate all the possible combinations of the elements of a given number of vectors.

For example, for [1 2], [1 2] and [4 5] I want to generate the elements:

[1 1 4; 1 1 5; 1 2 4; 1 2 5; 2 1 4; 2 1 5; 2 2 4; 2 2 5]

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?

解决方案

Try ALLCOMB function at FileExchange.

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

这篇关于生成某些向量的元素的所有可能组合(笛卡尔积)的文章就介绍到这了，希望我们推荐的答案对大家有所帮助，也希望大家多多支持IT屋！