X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?a=blobdiff_plain;f=octave_packages%2Fm%2Fdeprecated%2Fsylvester_matrix.m;fp=octave_packages%2Fm%2Fdeprecated%2Fsylvester_matrix.m;h=7c79cedd9e81f8d71946a00c664a9d929bd221fd;hb=1c0469ada9531828709108a4882a751d2816994a;hp=0000000000000000000000000000000000000000;hpb=63de9f36673d49121015e3695f2c336ea92bc278;p=CreaPhase.git diff --git a/octave_packages/m/deprecated/sylvester_matrix.m b/octave_packages/m/deprecated/sylvester_matrix.m new file mode 100644 index 0000000..7c79ced --- /dev/null +++ b/octave_packages/m/deprecated/sylvester_matrix.m @@ -0,0 +1,69 @@ +## Copyright (C) 1996-2012 John W. Eaton +## +## This file is part of Octave. +## +## Octave 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. +## +## Octave 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 Octave; see the file COPYING. If not, see +## . + +## -*- texinfo -*- +## @deftypefn {Function File} {} sylvester_matrix (@var{k}) +## Return the Sylvester matrix of order +## @tex +## $n = 2^k$. +## @end tex +## @ifnottex +## n = 2^@var{k}. +## @end ifnottex +## +## @seealso{toeplitz, hankel} +## @end deftypefn + +## Author: jwe + +function retval = sylvester_matrix (k) + + persistent warned = false; + if (! warned) + warned = true; + warning ("Octave:deprecated-function", + "sylvester_matrix is obsolete and will be removed from a future version of Octave; please use hadamard(2^k) instead"); + endif + + if (nargin != 1) + print_usage (); + endif + + if (isscalar (k)) + if (k < 1) + retval = 1; + else + tmp = sylvester_matrix (k-1); + retval = [tmp, tmp; tmp, -tmp]; + endif + else + error ("sylvester_matrix: expecting scalar argument"); + endif + +endfunction + +%!assert((sylvester_matrix (1) == [1, 1; 1, -1] +%! && (sylvester_matrix (2) +%! == [1, 1, 1, 1; 1, -1, 1, -1; 1, 1, -1, -1; 1, -1, -1, 1]))); + +%!error sylvester_matrix ([1, 2; 3, 4]); + +%!error sylvester_matrix (); + +%!error sylvester_matrix (1, 2); +