annotate scripts/general/del2.m @ 23946:c7b801f36be4

del2.m: Overhaul function (bug #51728). * del2.m: Rename output variable to 'L' to represent "Laplacian" in docstring. Add example code to docstring. Overhaul input validation. Verify that spacing inputs are either scalars or vectors and that they match size of respective dimension. Use indexing, rather than for loop, to initially assign ":" to all entries in idx. Add BIST test for bug #51728. Add BIST inpu validation tests.
author Rik <rik@octave.org>
date Fri, 25 Aug 2017 16:26:59 -0700
parents 092078913d54
children 194eb4bd202b
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1 ## Copyright (C) 2000-2017 Kai Habel
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2 ## Copyright (C) 2007 David Bateman
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3 ##
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4 ## This file is part of Octave.
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5 ##
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6 ## Octave is free software; you can redistribute it and/or modify it
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7 ## under the terms of the GNU General Public License as published by
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8 ## the Free Software Foundation; either version 3 of the License, or
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9 ## (at your option) any later version.
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10 ##
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11 ## Octave is distributed in the hope that it will be useful, but
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12 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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13 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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14 ## GNU General Public License for more details.
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15 ##
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16 ## You should have received a copy of the GNU General Public License
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17 ## along with Octave; see the file COPYING. If not, see
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18 ## <http://www.gnu.org/licenses/>.
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19
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20 ## -*- texinfo -*-
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21 ## @deftypefn {} {@var{L} =} del2 (@var{M})
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22 ## @deftypefnx {} {@var{L} =} del2 (@var{M}, @var{h})
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23 ## @deftypefnx {} {@var{L} =} del2 (@var{M}, @var{dx}, @var{dy}, @dots{})
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24 ##
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25 ## Calculate the discrete Laplace
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26 ## @tex
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27 ## operator $( \nabla^2 )$.
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28 ## @end tex
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29 ## @ifnottex
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30 ## operator.
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31 ## @end ifnottex
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32 ##
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33 ## For a 2-dimensional matrix @var{M} this is defined as
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34 ## @tex
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35 ## $$L = {1 \over 4} \left( {d^2 \over dx^2} M(x,y) + {d^2 \over dy^2} M(x,y) \right)$$
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36 ## @end tex
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37 ## @ifnottex
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38 ##
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39 ## @example
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40 ## @group
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41 ## 1 / d^2 d^2 \
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42 ## L = --- * | --- M(x,y) + --- M(x,y) |
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43 ## 4 \ dx^2 dy^2 /
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44 ## @end group
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45 ## @end example
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46 ##
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47 ## @end ifnottex
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48 ## For N-dimensional arrays the sum in parentheses is expanded to include
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49 ## second derivatives over the additional higher dimensions.
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50 ##
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51 ## The spacing between evaluation points may be defined by @var{h}, which is a
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52 ## scalar defining the equidistant spacing in all dimensions. Alternatively,
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53 ## the spacing in each dimension may be defined separately by @var{dx},
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54 ## @var{dy}, etc. A scalar spacing argument defines equidistant spacing,
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55 ## whereas a vector argument can be used to specify variable spacing. The
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56 ## length of the spacing vectors must match the respective dimension of
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57 ## @var{M}. The default spacing value is 1.
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58 ##
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59 ## Dimensions with fewer than 3 data points are skipped. Boundary points are
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60 ## calculated from the linear extrapolation of interior points.
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61 ##
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62 ## Example: Second derivative of 2*x^3
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63 ##
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64 ## @example
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65 ## @group
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66 ## f = @@(x) 2*x.^3;
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67 ## dd = @@(x) 12*x;
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68 ## x = 1:6;
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69 ## L = 4*del2 (f(x));
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70 ## assert (L, dd (x));
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71 ## @end group
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72 ## @end example
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73 ##
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74 ## @seealso{gradient, diff}
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75 ## @end deftypefn
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76
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77 ## Author: Kai Habel <kai.habel@gmx.de>
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78
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79 function L = del2 (M, varargin)
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80
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81 if (nargin < 1)
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82 print_usage ();
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83 endif
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84
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85 nd = ndims (M);
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86 sz = size (M);
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87 dx = cell (1, nd);
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88 if (nargin == 1)
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89 for i = 1 : nd
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90 dx(i) = ones (sz(i), 1);
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91 endfor
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92 elseif (nargin == 2 && isscalar (varargin{1}))
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93 h = varargin{1};
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94 for i = 1 : nd
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95 dx(i) = h * ones (sz(i), 1);
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96 endfor
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97 elseif (numel (varargin) <= nd)
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98 ndx = numel (varargin);
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99 varargin(ndx+1:nd) = 1; # Fill missing dims with 1.
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100 ## Reverse dx{1} and dx{2} as the X-dim is the 2nd dim of a meshgrid array
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101 varargin([1, 2]) = varargin([2, 1]);
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102 for i = 1 : nd
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103 arg = varargin{i};
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104 if (isscalar (arg))
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105 dx(i) = arg * ones (sz(i), 1);
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106 elseif (isvector (arg))
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107 if (length (arg) != sz(i))
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108 error ("del2: number of elements in spacing vector %d does not match dimension %d of M", i, i);
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109 endif
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110 dx(i) = diff (varargin{i})(:);
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111 else
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112 error ("del2: spacing element %d must be a scalar or vector", i);
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113 endif
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114 endfor
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115 else
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116 print_usage ();
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117 endif
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118
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119 idx = cell (1, nd);
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120 idx(:) = ":";
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121
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122 L = zeros (sz);
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123 for i = 1 : nd
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124 if (sz(i) >= 3)
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125 DD = zeros (sz);
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126 idx1 = idx2 = idx3 = idx;
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127
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128 ## interior points
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129 idx1{i} = 1 : sz(i) - 2;
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130 idx2{i} = 2 : sz(i) - 1;
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131 idx3{i} = 3 : sz(i);
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132 szi = sz;
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133 szi(i) = 1;
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134
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135 h1 = repmat (shiftdim (dx{i}(1 : sz(i) - 2), 1 - i), szi);
c81a0f3f5a82 [project @ 2007-07-23 22:05:29 by dbateman]
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parents:
diff changeset
136 h2 = repmat (shiftdim (dx{i}(2 : sz(i) - 1), 1 - i), szi);
c81a0f3f5a82 [project @ 2007-07-23 22:05:29 by dbateman]
dbateman
parents:
diff changeset
137 DD(idx2{:}) = ((M(idx1{:}) - M(idx2{:})) ./ h1 + ...
10549
95c3e38098bf Untabify .m scripts
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parents: 9167
diff changeset
138 (M(idx3{:}) - M(idx2{:})) ./ h2) ./ (h1 + h2);
6788
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parents:
diff changeset
139
c81a0f3f5a82 [project @ 2007-07-23 22:05:29 by dbateman]
dbateman
parents:
diff changeset
140 ## left and right boundary
c81a0f3f5a82 [project @ 2007-07-23 22:05:29 by dbateman]
dbateman
parents:
diff changeset
141 if (sz(i) == 3)
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
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diff changeset
142 DD(idx1{:}) = DD(idx3{:}) = DD(idx2{:});
6788
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parents:
diff changeset
143 else
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9167
diff changeset
144 idx1{i} = 1;
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9167
diff changeset
145 idx2{i} = 2;
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9167
diff changeset
146 idx3{i} = 3;
19833
9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions.
Rik <rik@octave.org>
parents: 19697
diff changeset
147 DD(idx1{:}) = (dx{i}(1) + dx{i}(2)) / dx{i}(2) * DD(idx2{:}) - ...
9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions.
Rik <rik@octave.org>
parents: 19697
diff changeset
148 dx{i}(1) / dx{i}(2) * DD(idx3{:});
6788
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diff changeset
149
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9167
diff changeset
150 idx1{i} = sz(i);
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9167
diff changeset
151 idx2{i} = sz(i) - 1;
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9167
diff changeset
152 idx3{i} = sz(i) - 2;
19833
9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions.
Rik <rik@octave.org>
parents: 19697
diff changeset
153 DD(idx1{:}) = (dx{i}(sz(i) - 1) + dx{i}(sz(i) - 2)) / ...
9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions.
Rik <rik@octave.org>
parents: 19697
diff changeset
154 dx{i}(sz(i) - 2) * DD(idx2{:}) - ...
9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions.
Rik <rik@octave.org>
parents: 19697
diff changeset
155 dx{i}(sz(i) - 1) / dx{i}(sz(i) - 2) * DD(idx3{:});
6788
c81a0f3f5a82 [project @ 2007-07-23 22:05:29 by dbateman]
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parents:
diff changeset
156 endif
c81a0f3f5a82 [project @ 2007-07-23 22:05:29 by dbateman]
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parents:
diff changeset
157
23946
c7b801f36be4 del2.m: Overhaul function (bug #51728).
Rik <rik@octave.org>
parents: 23220
diff changeset
158 L += DD;
6788
c81a0f3f5a82 [project @ 2007-07-23 22:05:29 by dbateman]
dbateman
parents:
diff changeset
159 endif
c81a0f3f5a82 [project @ 2007-07-23 22:05:29 by dbateman]
dbateman
parents:
diff changeset
160 endfor
c81a0f3f5a82 [project @ 2007-07-23 22:05:29 by dbateman]
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parents:
diff changeset
161
23946
c7b801f36be4 del2.m: Overhaul function (bug #51728).
Rik <rik@octave.org>
parents: 23220
diff changeset
162 L ./= nd;
21758
ffad2baa90f7 maint: Use newlines to make code more readable.
Rik <rik@octave.org>
parents: 21562
diff changeset
163
6788
c81a0f3f5a82 [project @ 2007-07-23 22:05:29 by dbateman]
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parents:
diff changeset
164 endfunction
17338
1c89599167a6 maint: End m-files with 1 blank line.
Rik <rik@octave.org>
parents: 14138
diff changeset
165
18617
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
166
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
167 ## 3x3 constant test
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
168 %!test
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
169 %! a = ones (3,3);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
170 %! b = del2 (a);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
171 %! assert (b(:,1), [0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
172 %! assert (b(:,2), [0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
173 %! assert (b(:,3), [0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
174
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
175 ## 3x3 planar test
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
176 %!test
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
177 %! a = [1,2,3;2,3,4;3,4,5];
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
178 %! b = del2 (a);
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diff changeset
179 %! assert (b(:,1), [0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
180 %! assert (b(:,2), [0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
181 %! assert (b(:,3), [0.00;0.00;0.00]);
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diff changeset
182
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
183 ## 3x3 corner test
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
184 %!test
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
185 %! a = zeros (3,3);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
186 %! a(1,1) = 1.0;
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
187 %! b = 2*del2 (a);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
188 %! assert (b(:,1), [1.00;0.50;0.50]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
189 %! assert (b(:,2), [0.50;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
190 %! assert (b(:,3), [0.50;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
191 %! assert (b, flipud (2*del2 (flipud (a))));
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
192 %! assert (b, fliplr (2*del2 (fliplr (a))));
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
193 %! assert (b, flipud (fliplr (2*del2 (fliplr (flipud (a))))));
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
194
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
195 ## 3x3 boundary test
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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diff changeset
196 %!test
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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diff changeset
197 %! a = zeros (3,3);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
198 %! a(2,1)=1.0;
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
199 %! b = 2*del2 (a);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
200 %! assert (b(:,1), [-1.00;-0.50;-1.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
201 %! assert (b(:,2), [0.00;0.50;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
202 %! assert (b(:,3), [0.00;0.50;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
203 %! assert (b, flipud (2*del2 (flipud (a))));
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
204 %! assert (b, fliplr (2*del2 (fliplr (a))));
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
205 %! assert (b, flipud (fliplr (2*del2 (fliplr (flipud (a))))));
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
206
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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diff changeset
207 ## 3x3 center test
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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diff changeset
208 %!test
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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diff changeset
209 %! a = zeros (3,3);
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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diff changeset
210 %! a(2,2) = 1.0;
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
211 %! b = del2 (a);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
212 %! assert (b(:,1), [0.00;-0.50;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
213 %! assert (b(:,2), [-0.50;-1.00;-0.50]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
214 %! assert (b(:,3), [0.00;-0.50;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
215
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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diff changeset
216 ## 4x4 constant test
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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diff changeset
217 %!test
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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diff changeset
218 %! a = ones (4,4);
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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diff changeset
219 %! b = del2 (a);
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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diff changeset
220 %! assert (b(:,1), [0.00;0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
221 %! assert (b(:,2), [0.00;0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
222 %! assert (b(:,3), [0.00;0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
223 %! assert (b(:,4), [0.00;0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
224
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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diff changeset
225 ## 4x4 planar test
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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diff changeset
226 %!test
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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227 %! a = [1,2,3,4;2,3,4,5;3,4,5,6;4,5,6,7];
21e5205679d0 del2.m: Add %!tests (bug #42005).
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228 %! b = del2 (a);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
229 %! assert (b(:,1), [0.00;0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
230 %! assert (b(:,2), [0.00;0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
231 %! assert (b(:,3), [0.00;0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
232 %! assert (b(:,4), [0.00;0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
233
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
234 ## 4x4 corner test
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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diff changeset
235 %!test
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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diff changeset
236 %! a = zeros (4,4);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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237 %! a(1,1) = 1.0;
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
238 %! b = 2*del2 (a);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
239 %! assert (b(:,1), [2.00;0.50;0.00;-0.50]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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diff changeset
240 %! assert (b(:,2), [0.50;0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
241 %! assert (b(:,3), [0.00;0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
242 %! assert (b(:,4), [-0.50;0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
243 %! assert (b, flipud (2*del2 (flipud (a))));
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
244 %! assert (b, fliplr (2*del2 (fliplr (a))));
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
245 %! assert (b, flipud (fliplr (2*del2 (fliplr (flipud (a))))));
21e5205679d0 del2.m: Add %!tests (bug #42005).
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246
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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diff changeset
247 ## 9x9 center test
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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diff changeset
248 %!test
21e5205679d0 del2.m: Add %!tests (bug #42005).
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249 %! a = zeros (9,9);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
250 %! a(5,5) = 1.0;
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
251 %! b = 2*del2 (a);
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diff changeset
252 %! assert (b(:,1), [0.00;0.00;0.00;0.00;0.00;0.00;0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
253 %! assert (b(:,2), [0.00;0.00;0.00;0.00;0.00;0.00;0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
254 %! assert (b(:,3), [0.00;0.00;0.00;0.00;0.00;0.00;0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
255 %! assert (b(:,4), [0.00;0.00;0.00;0.00;0.50;0.00;0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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diff changeset
256 %! assert (b(:,5), [0.00;0.00;0.00;0.50;-2.00;0.50;0.00;0.00;0.00]);
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257 %! assert (b(:,6), b(:,4));
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258 %! assert (b(:,7), b(:,3));
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259 %! assert (b(:,8), b(:,2));
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260 %! assert (b(:,9), b(:,1));
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261
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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262 ## 9x9 boundary test
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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263 %!test
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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264 %! a = zeros (9,9);
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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265 %! a(1,5) = 1.0;
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parents: 17744
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266 %! b = 2*del2 (a);
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267 %! assert (b(1,:), [0.00,0.00,0.00,0.50,0.00,0.50,0.00,0.00,0.00]);
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268 %! assert (b(2,:), [0.00,0.00,0.00,0.00,0.50,0.00,0.00,0.00,0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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parents: 17744
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269 %! assert (b(3:9,:), zeros (7,9));
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parents: 17744
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270 %! a(1,5) = 0.0;
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parents: 17744
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271 %! a(5,1) = 1.0;
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272 %! b = 2*del2 (a);
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273 %! assert (b(:,1), [0.00;0.00;0.00;0.50;0.00;0.50;0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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274 %! assert (b(:,2), [0.00;0.00;0.00;0.00;0.50;0.00;0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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275 %! assert (b(:,3:9), zeros (9,7));
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276
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Allan Jacobs <jacobsallanster@gmail.com>
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277 ## 9x9 dh center test
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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278 %!test
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279 %! a = zeros (9,9);
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280 %! a(5,5) = 1.0;
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281 %! b = 8*del2 (a,2);
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282 %! assert (b(:,1:3), zeros (9,3));
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283 %! assert (b(:,4), [0.00;0.00;0.00;0.00;0.50;0.00;0.00;0.00;0.00]);
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284 %! assert (b(:,5), [0.00;0.00;0.00;0.50;-2.00;0.50;0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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285 %! assert (b(:,6), b(:,4));
21e5205679d0 del2.m: Add %!tests (bug #42005).
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286 %! assert (b(:,7:9), zeros (9,3));
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287
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288 ## 9x9 dx test
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Allan Jacobs <jacobsallanster@gmail.com>
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289 %!test
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Allan Jacobs <jacobsallanster@gmail.com>
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290 %! a = zeros (9,9);
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291 %! a(5,5) = 1.0;
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292 %! b = 4*del2 (a,2,1);
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293 %! assert (b(1:3,:), zeros (3,9));
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294 %! assert (b(4,:), [0.00;0.00;0.00;0.00;1.00;0.00;0.00;0.00;0.00]');
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295 %! assert (b(5,:), [0.00;0.00;0.00;0.25;-2.5;0.25;0.00;0.00;0.00]');
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296 %! assert (b(6,:), b(4,:));
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297 %! assert (b(7:9,:), zeros (3,9));
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298
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299 ## 9x9 dy test
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Allan Jacobs <jacobsallanster@gmail.com>
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300 %!test
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301 %! a = zeros (9,9);
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302 %! a(5,5) = 1.0;
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303 %! b = 4*del2 (a,1,2);
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304 %! assert (b(:,1:3), zeros (9,3));
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305 %! assert (b(:,4), [0.00;0.00;0.00;0.00;1.00;0.00;0.00;0.00;0.00]);
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306 %! assert (b(:,5), [0.00;0.00;0.00;0.25;-2.5;0.25;0.00;0.00;0.00]);
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307 %! assert (b(:,6), b(:,4));
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308 %! assert (b(:,7:9), zeros (9,3));
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309
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310 ## 3D test
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311 %!test
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312 %! a = zeros (9,9,9);
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313 %! a(5,5,5) = 1.0;
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314 %! b = 8*3*del2 (a,2);
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315 %! assert (b(:,:,1:3), zeros (9,9,3));
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316 %! assert (b(:,1:3,:), zeros (9,3,9));
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317 %! assert (b(1:3,:,:), zeros (3,9,9));
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318 %! assert (b(4:5,4,4), [0.0,0.0]');
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319 %! assert (b(5,5,4), 1.00);
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320 %! assert (b(4,4,5), 0.00);
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321 %! assert (b(5,4,5), 1.00);
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322 %! assert (b(5,5,5),-6.00);
19126
995df67fc912 Flip arrays - ND support for fliplr and flipud, and replace flipdim with flip.
Carnë Draug <carandraug+dev@gmail.com>
parents: 18617
diff changeset
323 %! assert (b, flip (b,1));
995df67fc912 Flip arrays - ND support for fliplr and flipud, and replace flipdim with flip.
Carnë Draug <carandraug+dev@gmail.com>
parents: 18617
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324 %! assert (b, flip (b,2));
995df67fc912 Flip arrays - ND support for fliplr and flipud, and replace flipdim with flip.
Carnë Draug <carandraug+dev@gmail.com>
parents: 18617
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325 %! assert (b, flip (b,3));
23946
c7b801f36be4 del2.m: Overhaul function (bug #51728).
Rik <rik@octave.org>
parents: 23220
diff changeset
326
c7b801f36be4 del2.m: Overhaul function (bug #51728).
Rik <rik@octave.org>
parents: 23220
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327 %!test <*51728>
c7b801f36be4 del2.m: Overhaul function (bug #51728).
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328 %! x = linspace (-2*pi, 2*pi);
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Rik <rik@octave.org>
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329 %! U = cos (x);
c7b801f36be4 del2.m: Overhaul function (bug #51728).
Rik <rik@octave.org>
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330 %! L = 4*del2 (U, x);
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Rik <rik@octave.org>
parents: 23220
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331
c7b801f36be4 del2.m: Overhaul function (bug #51728).
Rik <rik@octave.org>
parents: 23220
diff changeset
332 ## Test input validation
c7b801f36be4 del2.m: Overhaul function (bug #51728).
Rik <rik@octave.org>
parents: 23220
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333 %!error del2 ()
c7b801f36be4 del2.m: Overhaul function (bug #51728).
Rik <rik@octave.org>
parents: 23220
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334 %!error del2 (1, 1, 2, 3)
c7b801f36be4 del2.m: Overhaul function (bug #51728).
Rik <rik@octave.org>
parents: 23220
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335 %!error <in spacing vector 1> del2 (1, 2, [1 1])
c7b801f36be4 del2.m: Overhaul function (bug #51728).
Rik <rik@octave.org>
parents: 23220
diff changeset
336 %!error <in spacing vector 2> del2 (1, [1 1], 2)
c7b801f36be4 del2.m: Overhaul function (bug #51728).
Rik <rik@octave.org>
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diff changeset
337 %!error <must be a scalar or vector> del2 (1, ones (2,2), 2)
c7b801f36be4 del2.m: Overhaul function (bug #51728).
Rik <rik@octave.org>
parents: 23220
diff changeset
338