simple combinations between cells

Dear guys I'm looking for calculating the simple combinations between 3 cell:

T{1}=

Column 1 Column 2

3.29468361984674 3.24793763967276

3.25488582798159 3.33467494150750

3.30016433354633 3.30779418978228

3.36715866345752 3.17459467737618

3.42871475496273 3.18335187435669

3.30662100520200 3.16100391098778

T{2}=

Column 1 Column 2

2.69361371618303 3.57755708771298

2.56422065002361 3.57364773072377

2.66103273449339 3.54110582681669

2.60486706822838 3.55023611776072

2.60797207622599 3.58518248687590

2.65230479016750 3.50848441872052

T{3}=

Column 1 Column 2

3.12870601260590 4.33208439890896

3.14007960123577 4.37853754127380

3.03522738819268 4.35174951763305

3.16142049026022 4.28790024805517

2.98099119386563 4.05129787027474

2.97887698391243 4.28015976006215

Since the simple combinations are 3. I'm looking for

S{1}= [T{1} T{2}]

S{2}= [T{2} T{3}]

S{3}= [T{3} T{1}]

How to do that without a for loop?

Answer 1

[Rik]

It can probably be done without a loop, but why do you want that? Loops are very efficient (as long as there isn't a builtin vectorized alternative).

T={1,2,3};
ind_list=nchoosek(1:numel(T),2)

ind_list = 3×2

1 2 1 3 2 3

This is not the order you want, so we will need to use something else:

ind_list=(1:numel(T)).'+(0:1);
ind_list=mod(ind_list,numel(T));
ind_list(ind_list==0)=numel(T);
ind_list

ind_list = 3×2

1 2 2 3 3 1

Now we can loop through the rows of ind_list to create S:

S=cell(size(ind_list,1),1);
for n=1:size(ind_list,1)
    tmp=T(ind_list(n,:));
    tmp=horzcat(tmp{:});
    S{n}=tmp;
end
S

S = 3×1 cell array
    {[1 2]}
    {[2 3]}
    {[3 1]}

[Riccardo Tronconi]

thank you very much!!!