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annotate scripts/deprecated/sylvester_matrix.m @ 14182:f8d99761244c stable

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test: Expand %!testif functionality to multiple conditions * test.m: Add testing for multiple conditions in %!testif statement. * svds.m, eigs.cc: Test for ARPACK and other libraries before running some tests.
author Rik <octave@nomad.inbox5.com>
date Mon, 09 Jan 2012 13:32:44 -0800
parents 72c96de7a403
children 1c89599167a6
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72c96de7a403 maint: update copyright notices for 2012
John W. Eaton <jwe@octave.org>
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1 ## Copyright (C) 1996-2012 John W. Eaton
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2 ##
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3 ## This file is part of Octave.
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4 ##
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5 ## Octave is free software; you can redistribute it and/or modify it
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6 ## under the terms of the GNU General Public License as published by
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7 ## the Free Software Foundation; either version 3 of the License, or (at
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8 ## your option) any later version.
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9 ##
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10 ## Octave is distributed in the hope that it will be useful, but
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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13 ## General Public License for more details.
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14 ##
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15 ## You should have received a copy of the GNU General Public License
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16 ## along with Octave; see the file COPYING. If not, see
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17 ## <http://www.gnu.org/licenses/>.
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18
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19 ## -*- texinfo -*-
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20 ## @deftypefn {Function File} {} sylvester_matrix (@var{k})
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21 ## Return the Sylvester matrix of order
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22 ## @tex
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23 ## $n = 2^k$.
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24 ## @end tex
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25 ## @ifnottex
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26 ## n = 2^@var{k}.
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27 ## @end ifnottex
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28 ##
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29 ## @seealso{toeplitz, hankel}
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30 ## @end deftypefn
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32 ## Author: jwe
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33
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34 function retval = sylvester_matrix (k)
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35
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36 persistent warned = false;
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37 if (! warned)
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38 warned = true;
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39 warning ("Octave:deprecated-function",
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40 "sylvester_matrix is obsolete and will be removed from a future version of Octave; please use hadamard(2^k) instead");
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41 endif
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42
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43 if (nargin != 1)
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44 print_usage ();
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45 endif
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46
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47 if (isscalar (k))
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48 if (k < 1)
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49 retval = 1;
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50 else
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51 tmp = sylvester_matrix (k-1);
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52 retval = [tmp, tmp; tmp, -tmp];
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53 endif
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54 else
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55 error ("sylvester_matrix: expecting scalar argument");
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56 endif
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57
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58 endfunction
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59
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60 %!assert((sylvester_matrix (1) == [1, 1; 1, -1]
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61 %! && (sylvester_matrix (2)
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62 %! == [1, 1, 1, 1; 1, -1, 1, -1; 1, 1, -1, -1; 1, -1, -1, 1])));
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63
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64 %!error sylvester_matrix ([1, 2; 3, 4]);
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65
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66 %!error sylvester_matrix ();
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67
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68 %!error sylvester_matrix (1, 2);
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69