## how to construct a cell array from another cell array

### mohamed Faraj (view profile)

on 15 Aug 2019
Latest activity Commented on by mohamed Faraj

### mohamed Faraj (view profile)

on 19 Aug 2019

I have a cell array with a variable number of cells and a variable number of elements within each cell. For instance, it could by V{1}{1}=1 2 3 4, V{1}{2}=3 4 1 0,V{1}{3}=3 5 -1 -9, and V{2}{1}=-1 -2 9, V{2}{2}= 0 9 6, i.e., the cell 1 has 3 vectors of length 4 elements and the cell 2 has 2 vectors of length 3. I want to construct another cell array such that it has all combinations of these vectors, here I could have 6 combinations (3*2=6). The new cell array has to be of length 6 cells (number of possible combinations), and each cell has a possible combinations, for example A{1}={1 2 3 4 and -1 -2 9} and A{2}={1 2 3 4 and 0 9 6} . Note that I will get these vectors from a matlab code so I do not know them in advance.

on 15 Aug 2019
It would be easier if we had data to play with (instead of having to construct fake data ourselves and risk getting it wrong).
mohamed Faraj

### mohamed Faraj (view profile)

on 15 Aug 2019
Hi Adam. The numbers are not important. Imagine we have a cell array of some length V{1}{1}=vec1, V{1}{2}=vec2, V{1}{3}=vec3, and also we have V{2}{1}=vec4, V{2}{2}=vec5, From the array V, I want to construct another cell array, SAY D, which ha all possible combinations of vectors {vec1, vec2,vec3} and {vec4,vec5}. However, we can not combine two vectors from the same set, e.g., we can not have vec1 and vec2 combined. I wand the cell array D to be for example D{1}{1}=vec1 and D{1}{2}=vec4. I hope this helps

on 15 Aug 2019

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on 15 Aug 2019

on 17 Aug 2019

This fits the description from your comment under your question. It horizontally concatenates all combinations of the row vectors stored in V{1} and V{2}.
% Demo data
V{1}{1} = 1:4; % vec1 1x4
V{1}{2} = 2:5; % vec2 1x4
V{1}{3} = 3:6; % vec3 1x4
V{2}{1} = 1:3; % vec4 1x3
V{2}{2} = 2:4; % vec5 1x3
[v1idx, v2idx] = ndgrid(1:numel(V{1}), 1:numel(V{2}));
D = cellfun(@(a,b)horzcat(a,b),{V{1}{v1idx(:)}}, {V{2}{v2idx(:)}}, 'UniformOutput', false)
% D = {[vec1,vec4], [vec2,vec4], [vec3,vec4], [vec1,vec5], [vec2,vec5], [vec3,vec5]}
Version 2: when number of sub-cells in V is variable.
cellCount = num2cell(1:numel(V));
nCellIdx = cellfun(@(x)1:numel(x), V, 'UniformOutput', false);
cellGrid = cell(size(nCellIdx));
[cellGrid{:}] = ndgrid(nCellIdx{:});
matGrid = cell2mat(cellfun(@(x)x(:),cellGrid,'UniformOutput',false)); % Each row is the index for 1 cell
D = cell(1,size(matGrid,1));
for i = 1:size(matGrid,1)
D{i} = cellfun(@(ci,sci)V{ci}(sci),cellCount, num2cell(matGrid(i,:)));
end
D(i) contains the sub-cell indices listed in matGrid(i,:).

mohamed Faraj

### mohamed Faraj (view profile)

on 16 Aug 2019
Below is information about my cell array. Its name is "allPaths_service"
>> allPaths_service
allPaths_service =
{5x1 cell} {3x1 cell} {3x1 cell}
********************************************
>> size(allPaths_service)
ans =
1 3
********************************************
>> allPaths_service{:}
ans =
[1x6 double]
[1x6 double]
[1x6 double]
[1x6 double]
[1x6 double]
ans =
[1x5 double]
[1x5 double]
[1x5 double]
ans =
[1x5 double]
[1x5 double]
[1x5 double]
********************************************
>> allPaths_service{1}{:}
ans =
1 2 3 4 5 10
ans =
1 2 3 4 9 10
ans =
1 6 7 4 5 10
ans =
1 6 7 4 9 10
ans =
1 6 7 8 9 10
********************************************
>> allPaths_service{2}{:}
ans =
1 2 3 5 10
ans =
1 6 7 5 10
ans =
1 6 7 9 10
********************************************
>> allPaths_service{3}{:}
ans =
1 2 3 5 10
ans =
1 6 7 5 10
ans =
1 6 7 9 10
********************************************
Please note that this array is generated from another matlab code, so it may change size

on 16 Aug 2019
Could you save "allPaths_service" to a mat file and attach it?
Also, could you provide a small example of the expected outcome (using real data). I know it would take time to manually produce the entire output but a few combinations would be helpful. For example, it's still unclear how a 1xn vector will be combined with a 1xm vector.

on 17 Aug 2019
I updated my answer with "version 2". It still uses ndgrid() but is not dependent on knowing how many subcells are in "V". Tested with your data successfully.

### mohamed Faraj (view profile)

on 17 Aug 2019

Hi Adam. Attached is the cell array allPaths_service. I also created a cell array DD which has two possible combinations from allPaths_service.

mohamed Faraj

### mohamed Faraj (view profile)

on 19 Aug 2019
Thank you Adam. Thi s was very helpful. One last thing. I noticed that t
matGrid =
1 1
2 1
3 1
1 2
2 2
3 2
what if I want ti to be in this order
matGrid =
1 1
1 2
2 1
2 2
3 1
3 2
which means we first change the index of the right most column first.