Generate all possible combinations
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Hi Guys,
I want to combine 4 matrix & get all the possible combinations
the example is
I have matrix A,B,C,D
A = [1;2]
B = [3;4]
C = [5;6]
D = [7;8]
I want to generate all matrix E Combinations
E = [1 3 5 7;1 3 5 8; 1 3 6 7; 1 3 6 8; 1 4 5 7;1 4 5 8; 1 4 6 7; 1 4 6 8;2 3 5 7;2 3 5 8; 2 3 6 7; 2 3 6 8; 2 4 5 7;2 4 5 8; 2 4 6 7; 2 4 6 8 ]
And is there any matlab function to generate it ?
thanks
采纳的回答
Bruno Luong
2018-11-29
A = [1;2]
B = [3;4]
C = [5;6]
D = [7;8]
L = {A,B,C,D};
n = length(L);
[L{:}] = ndgrid(L{end:-1:1});
L = cat(n+1,L{:});
L = fliplr(reshape(L,[],n))
Which gives
L =
1 3 5 7
1 3 5 8
1 3 6 7
1 3 6 8
1 4 5 7
1 4 5 8
1 4 6 7
1 4 6 8
2 3 5 7
2 3 5 8
2 3 6 7
2 3 6 8
2 4 5 7
2 4 5 8
2 4 6 7
2 4 6 8
更多回答（3 个）
madhan ravi
2018-11-29
A = [1;2]
B = [3;4]
C = [5;6]
D = [7;8]
E=nchoosek([A(:); B(:) ;C(:); D(:)],4)
Michael Hartmann
2021-11-29
1 个投票
Option: for one single vector
a=1:4
fliplr(combvec(a, a, a)')'
could also be
a=1:4
b=1:3
c=1:2
fliplr(combvec(a, b, c)')'
ans =
1 1 1
1 1 2
1 1 3
1 1 4
1 2 1
1 2 2
1 2 3
1 2 4
1 3 1
1 3 2
1 3 3
1 3 4
2 1 1
2 1 2
2 1 3
2 1 4
2 2 1
2 2 2
2 2 3
2 2 4
2 3 1
2 3 2
2 3 3
2 3 4
Walter Roberson
2018-11-29
The meshgrid() solution that Bruno suggested to your earlier question can be extended to 3 arrays. For more arrays than that you need to switch to ndgrid() . ndgrid() and meshgrid() are very similar, but the first two dimensions are exchanged.
>> meshgrid(1:3,1:4)
ans =
1 2 3
1 2 3
1 2 3
1 2 3
>> ndgrid(1:3,1:4)
ans =
1 1 1 1
2 2 2 2
3 3 3 3
With ndgrid, the length of the first parameter becomes the size of the first dimension, the length of the second paramter becomes the size of the second dimension, and so on.
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