/usr/share/octave/packages/linear-algebra-2.2.0/cartprod.m is in octave-linear-algebra 2.2.0-1build1.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 | ## Copyright (C) 2008 Muthiah Annamalai <muthiah.annamalai@uta.edu>
## Copyright (C) 2010 VZLU Prague
##
## This program is free software; you can redistribute it and/or modify it under
## the terms of the GNU General Public License as published by the Free Software
## Foundation; either version 3 of the License, or (at your option) any later
## version.
##
## This program is distributed in the hope that it will be useful, but WITHOUT
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
## details.
##
## You should have received a copy of the GNU General Public License along with
## this program; if not, see <http://www.gnu.org/licenses/>.
## -*- texinfo -*-
## @deftypefn {Function File} {} cartprod (@var{varargin})
##
## Computes the cartesian product of given column vectors ( row vectors ).
## The vector elements are assumend to be numbers.
##
## Alternatively the vectors can be specified by as a matrix, by its columns.
##
## To calculate the cartesian product of vectors,
## P = A x B x C x D ... . Requires A, B, C, D be column vectors.
## The algorithm is iteratively calcualte the products,
## ( ( (A x B ) x C ) x D ) x etc.
##
## @example
## @group
## cartprod(1:2,3:4,0:1)
## ans = 1 3 0
## 2 3 0
## 1 4 0
## 2 4 0
## 1 3 1
## 2 3 1
## 1 4 1
## 2 4 1
## @end group
## @end example
## @end deftypefn
## @seealso{kron}
function p = cartprod (varargin)
if (nargin < 1)
print_usage ();
elseif (nargin == 1)
p = varargin{1};
endif
[p{1:nargin}] = ndgrid (varargin{:});
p = cat (nargin+1, p{:});
p = reshape (p, [], nargin);
endfunction
%!assert(cartprod(1:2,0:1),[1 0; 2 0; 1 1; 2 1])
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