1function cprod = cartesian_product_of_sets(varargin)
2% Computes the cartesian product.
3
4%@info:
5%! @deftypefn {Function File} {@var{cprod} =} cartesian_product_of_sets (@var{a},@var{b}, ...)
6%! @anchor{cartesian_product_of_sets}
7%! @sp 1
8%! Computes A_1 * A_2 * .... * A_n with a generic set A_i = {e_1,e_2,e_3,...} where e_i is a string
9%! or a number. It is assumed that each element e_i is unique in set A_i.
10%! @sp 2
11%! @strong{Inputs}
12%! @sp 1
13%! @table @ @var
14%! @item a
15%! n*1 vector of doubles.
16%! @item a
17%! m*1 vector of doubles.
18%! @end table
19%! @sp 1
20%! @strong{Outputs}
21%! @sp 1
22%! @table @ @var
23%! @item cprod
24%! nm*2 matrix of doubles, the nodes cartesian product of sets @var{a} and @var{b}.
25%! @end table
26%! @sp 2
27%! @strong{This function is called by:}
28%! @sp 2
29%! @strong{This function calls:}
30%! @sp 2
31%! @end deftypefn
32%@eod:
33
34% Copyright (C) 2011-2017 Dynare Team
35%
36% This file is part of Dynare.
37%
38% Dynare is free software: you can redistribute it and/or modify
39% it under the terms of the GNU General Public License as published by
40% the Free Software Foundation, either version 3 of the License, or
41% (at your option) any later version.
42%
43% Dynare is distributed in the hope that it will be useful,
44% but WITHOUT ANY WARRANTY; without even the implied warranty of
45% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
46% GNU General Public License for more details.
47%
48% You should have received a copy of the GNU General Public License
49% along with Dynare.  If not, see <http://www.gnu.org/licenses/>.
50
51% Original author: stephane DOT adjemian AT univ DASH lemans DOT fr
52
53[ F{1:nargin} ] = ndgrid( varargin{:} );
54
55for i=1:nargin
56    cprod(:,i) = F{i}(:);
57end