X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Flinear-algebra-2.2.0%2Fcartprod.m;fp=octave_packages%2Flinear-algebra-2.2.0%2Fcartprod.m;h=f575e01c935e4df93ebf1d681c5710ef37244585;hp=0000000000000000000000000000000000000000;hb=c880e8788dfc484bf23ce13fa2787f2c6bca4863;hpb=1705066eceaaea976f010f669ce8e972f3734b05 diff --git a/octave_packages/linear-algebra-2.2.0/cartprod.m b/octave_packages/linear-algebra-2.2.0/cartprod.m new file mode 100644 index 0000000..f575e01 --- /dev/null +++ b/octave_packages/linear-algebra-2.2.0/cartprod.m @@ -0,0 +1,59 @@ +## Copyright (C) 2008 Muthiah Annamalai +## 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 . + +## -*- 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])