Create a multidimensional Grid

Hi,

i try to create a multidimensional grid with these scalar values but i cannot wrap my head around how the code would look like if i use more than 2 or 3 Factors (I obviously don't want to make for each possible number of Factors an extra

if isequal(length(Factors),2), if isequal(length(Factors),3),if isequal(length(Factors),4),if isequal(length(Factors),5)

)

clear all;
clc;
FactorGrid = [];

%Three differend Factors, each Factor has 4 different possible values(each Factor has to have the same amount of different possible values )
Factors{1}= [1,2,3,4];
Factors{2}= [55,66,77,88];
Factors{3}= [101,202,303,404];

%For using 2 Factors
if isequal(length(Factors),2)
    for k = 1:length(Factors{1})
        for l = 1:length(Factors{2})
             FactorGrid{end+1,1} = [Factors{1}(k),Factors{2}(l)];
        end
    end
end

%For using 3 Factors
if isequal(length(Factors),3)
    for k = 1:length(Factors{1})
        for l = 1:length(Factors{2})
            for m = 1:length(Factors{3})
                FactorGrid{end+1,1}  = [Factors{1}(k),Factors{2}(l),Factors{3}(m)];
            end
        end
    end
end

I tried to work with

perms()

but that didn't work either.

The grid should have the size of possible values^number of Factors, so in this case 4^3.

Can you help me out?

Answer 1

[Fab]

Ok thanks, this does the job for me:

A= [1,   2,   3,   4]';
B= [55,  66,  77,  88]';
C= [101, 202, 303, 404]';

ma=size(A,1);
mb=size(B,1);
mc=size(C,1);

[a,b,c]=ndgrid(1:ma,1:mb,1:mc);
product = [A(a,:),B(b,:),C(c,:)];

Answer 2

[Walter Roberson]

[FG{:}] = ndgrid(Factors{:});

[Fab]

cellsForNgrid = cell(1,numel(Factors));
[cellsForNgrid{:}]=ndgrid(Factors{:});

cellsForNgrid was needed since "[FG{:}]" doesn't contain the amount of cells that are needed.

[Walter Roberson]

True. Or you can

[cellsForNgrid{1:numel(Factors)}] = ndgrid(Factors{:});

Answer 3

[Fab]

How would this ndgrid work with my code?

Read the documentation but i don't get the results i want.

I attached a picture of the result, if i use your code.

[Torsten]

http://de.mathworks.com/matlabcentral/answers/173581-take-cartesian-product-between-lists-of-tuples-and-a-vector