Computes the cartesian product.
0001 function cprod = cartesian_product_of_sets(varargin) 0002 % Computes the cartesian product. 0003 0004 %@info: 0005 %! @deftypefn {Function File} {@var{cprod} =} cartesian_product_of_sets (@var{a},@var{b}, ...) 0006 %! @anchor{cartesian_product_of_sets} 0007 %! @sp 1 0008 %! 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 0009 %! or a number. It is assumed that each element e_i is unique in set A_i. 0010 %! @sp 2 0011 %! @strong{Inputs} 0012 %! @sp 1 0013 %! @table @ @var 0014 %! @item a 0015 %! n*1 vector of doubles. 0016 %! @item a 0017 %! m*1 vector of doubles. 0018 %! @end table 0019 %! @sp 1 0020 %! @strong{Outputs} 0021 %! @sp 1 0022 %! @table @ @var 0023 %! @item cprod 0024 %! nm*2 matrix of doubles, the nodes cartesian product of sets @var{a} and @var{b}. 0025 %! @end table 0026 %! @sp 2 0027 %! @strong{This function is called by:} 0028 %! @sp 2 0029 %! @strong{This function calls:} 0030 %! @sp 2 0031 %! @end deftypefn 0032 %@eod: 0033 0034 % Copyright (C) 2011 Dynare Team 0035 % stephane DOT adjemian AT univ DASH lemans DOT fr 0036 % 0037 % This file is part of Dynare. 0038 % 0039 % Dynare is free software: you can redistribute it and/or modify 0040 % it under the terms of the GNU General Public License as published by 0041 % the Free Software Foundation, either version 3 of the License, or 0042 % (at your option) any later version. 0043 % 0044 % Dynare is distributed in the hope that it will be useful, 0045 % but WITHOUT ANY WARRANTY; without even the implied warranty of 0046 % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 0047 % GNU General Public License for more details. 0048 % 0049 % You should have received a copy of the GNU General Public License 0050 % along with Dynare. If not, see <http://www.gnu.org/licenses/>. 0051 0052 [ F{1:nargin} ] = ndgrid( varargin{:} ); 0053 0054 for i=1:nargin 0055 cprod(:,i) = F{i}(:); 0056 end