cartesianprod(varar​gin)

Efficiently creates the Cartesian Product of n vectors

Wrapper for meshgrid(), which creates all combinations of the elements of
the vectors stored in the cellarray 'fields'. The output is either i) a
cellarray of combinations, each given as a string where the original
elements are separated by 'delim', or ii) a row-indexed matrix of
combinations of the original elements. All component vectors must be of
the same type (all cell arrays or all doubles). See the following examples.
Example 1:
fields{1} = {'a';'b'};
fields{2} = {'c';'d';'e'};
fields{3} = {'f';'g'};
delim = '_';
out = cartesianprod(fields,delim);
out =
'a_c_f'
'a_c_g'
'a_d_f'
'a_d_g'
'a_e_f'
'a_e_g'
'b_c_f'
'b_c_g'
'b_d_f'
'b_d_g'
'b_e_f'
'b_e_g'
Example 2:
fields{1} = {'a';'b'};
fields{2} = {'c';'d';'e'};
fields{3} = {'f';'g'};
out = cartesianprod(fields);
out =

'a' 'c' 'f'
'a' 'c' 'g'
'a' 'd' 'f'
'a' 'd' 'g'
'a' 'e' 'f'
'a' 'e' 'g'
'b' 'c' 'f'
'b' 'c' 'g'
'b' 'd' 'f'
'b' 'd' 'g'
'b' 'e' 'f'
'b' 'e' 'g'
Example 3:
fields{1} = [1;2];
fields{2} = [3;4;5];
fields{3} = [6;7];
out = cartesianprod(fields);
out =
1 4 6
1 4 7
1 5 6
1 5 7
2 4 6
2 4 7
2 5 6
2 5 7
3 4 6
3 4 7
3 5 6
3 5 7