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update formatting of copyright notices * Use <https://octave.org/copyright/> instead of <https://octave.org/COPYRIGHT.html/>. * For consistency with other comments in the Octave sources, use C++-style comments for copyright blocks in C and C++ files. * Use delimiters above and below copyright blocks that are appropriate for the language used in the file. * Eliminate extra spacing inside copyright blocks. * lex.ll (looks_like_copyright): Also allow newlines and carriage returns before the word "Copyright". * scripts/mk-doc.pl (gethelp): Also skip empty comment lines. * bp-table.cc, type.m: Adjust tests.
author John W. Eaton <jwe@octave.org>
date Wed, 08 Jan 2020 11:59:41 -0500
parents 1891570abac8
children a4268efb7334
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
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1 ########################################################################
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2 ##
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3 ## Copyright (C) 2000-2020 The Octave Project Developers
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4 ##
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5 ## See the file COPYRIGHT.md in the top-level directory of this
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6 ## distribution or <https://octave.org/copyright/>.
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7 ##
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8 ## This file is part of Octave.
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9 ##
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10 ## Octave is free software: you can redistribute it and/or modify it
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11 ## under the terms of the GNU General Public License as published by
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12 ## the Free Software Foundation, either version 3 of the License, or
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13 ## (at your option) any later version.
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14 ##
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15 ## Octave is distributed in the hope that it will be useful, but
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16 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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17 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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18 ## GNU General Public License for more details.
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19 ##
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20 ## You should have received a copy of the GNU General Public License
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21 ## along with Octave; see the file COPYING. If not, see
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22 ## <https://www.gnu.org/licenses/>.
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23 ##
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24 ########################################################################
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25
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26 ## -*- texinfo -*-
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27 ## @deftypefn {} {@var{L} =} del2 (@var{M})
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28 ## @deftypefnx {} {@var{L} =} del2 (@var{M}, @var{h})
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29 ## @deftypefnx {} {@var{L} =} del2 (@var{M}, @var{dx}, @var{dy}, @dots{})
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30 ##
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31 ## Calculate the discrete Laplace
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32 ## @tex
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33 ## operator $( \nabla^2 )$.
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34 ## @end tex
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35 ## @ifnottex
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36 ## operator.
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37 ## @end ifnottex
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38 ##
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39 ## For a 2-dimensional matrix @var{M} this is defined as
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40 ## @tex
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41 ## $$L = {1 \over 4} \left( {d^2 \over dx^2} M(x,y) + {d^2 \over dy^2} M(x,y) \right)$$
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42 ## @end tex
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43 ## @ifnottex
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44 ##
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45 ## @example
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46 ## @group
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47 ## 1 / d^2 d^2 \
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48 ## L = --- * | --- M(x,y) + --- M(x,y) |
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49 ## 4 \ dx^2 dy^2 /
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50 ## @end group
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51 ## @end example
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52 ##
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53 ## @end ifnottex
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54 ## For N-dimensional arrays the sum in parentheses is expanded to include
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55 ## second derivatives over the additional higher dimensions.
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56 ##
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57 ## The spacing between evaluation points may be defined by @var{h}, which is a
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58 ## scalar defining the equidistant spacing in all dimensions. Alternatively,
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59 ## the spacing in each dimension may be defined separately by @var{dx},
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60 ## @var{dy}, etc. A scalar spacing argument defines equidistant spacing,
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61 ## whereas a vector argument can be used to specify variable spacing. The
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62 ## length of the spacing vectors must match the respective dimension of
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63 ## @var{M}. The default spacing value is 1.
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64 ##
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65 ## Dimensions with fewer than 3 data points are skipped. Boundary points are
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66 ## calculated from the linear extrapolation of interior points.
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67 ##
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68 ## Example: Second derivative of 2*x^3
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69 ##
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70 ## @example
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71 ## @group
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72 ## f = @@(x) 2*x.^3;
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73 ## dd = @@(x) 12*x;
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74 ## x = 1:6;
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75 ## L = 4*del2 (f(x));
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76 ## assert (L, dd (x));
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77 ## @end group
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78 ## @end example
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79 ##
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80 ## @seealso{gradient, diff}
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81 ## @end deftypefn
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82
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83 ## Author: Kai Habel <kai.habel@gmx.de>
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84
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85 function L = del2 (M, varargin)
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86
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87 if (nargin < 1)
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88 print_usage ();
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89 endif
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90
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91 nd = ndims (M);
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92 sz = size (M);
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93 dx = cell (1, nd);
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94 if (nargin == 1)
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95 for i = 1 : nd
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96 dx(i) = ones (sz(i), 1);
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97 endfor
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98 elseif (nargin == 2 && isscalar (varargin{1}))
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99 h = varargin{1};
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100 for i = 1 : nd
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101 dx(i) = h * ones (sz(i), 1);
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102 endfor
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103 elseif (numel (varargin) <= nd)
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104 ndx = numel (varargin);
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105 varargin(ndx+1:nd) = 1; # Fill missing dims with 1.
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106 ## Reverse dx{1} and dx{2} as the X-dim is the 2nd dim of a meshgrid array
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107 varargin([1, 2]) = varargin([2, 1]);
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108 for i = 1 : nd
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109 arg = varargin{i};
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110 if (isscalar (arg))
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111 dx(i) = arg * ones (sz(i), 1);
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112 elseif (isvector (arg))
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113 if (length (arg) != sz(i))
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114 error ("del2: number of elements in spacing vector %d does not match dimension %d of M", i, i);
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115 endif
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116 dx(i) = diff (varargin{i})(:);
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117 else
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118 error ("del2: spacing element %d must be a scalar or vector", i);
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119 endif
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120 endfor
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121 else
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122 print_usage ();
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123 endif
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124
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125 idx = cell (1, nd);
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126 idx(:) = ":";
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127
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128 L = zeros (sz);
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129 for i = 1 : nd
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130 if (sz(i) >= 3)
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131 DD = zeros (sz);
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132 idx1 = idx2 = idx3 = idx;
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133
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134 ## interior points
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135 idx1{i} = 1 : sz(i) - 2;
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parents:
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136 idx2{i} = 2 : sz(i) - 1;
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137 idx3{i} = 3 : sz(i);
c81a0f3f5a82 [project @ 2007-07-23 22:05:29 by dbateman]
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diff changeset
138 szi = sz;
23946
c7b801f36be4 del2.m: Overhaul function (bug #51728).
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139 szi(i) = 1;
6788
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140
c81a0f3f5a82 [project @ 2007-07-23 22:05:29 by dbateman]
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141 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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142 h2 = repmat (shiftdim (dx{i}(2 : sz(i) - 1), 1 - i), szi);
c81a0f3f5a82 [project @ 2007-07-23 22:05:29 by dbateman]
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143 DD(idx2{:}) = ((M(idx1{:}) - M(idx2{:})) ./ h1 + ...
10549
95c3e38098bf Untabify .m scripts
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parents: 9167
diff changeset
144 (M(idx3{:}) - M(idx2{:})) ./ h2) ./ (h1 + h2);
6788
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145
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146 ## left and right boundary
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147 if (sz(i) == 3)
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148 DD(idx1{:}) = DD(idx3{:}) = DD(idx2{:});
6788
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149 else
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
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diff changeset
150 idx1{i} = 1;
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9167
diff changeset
151 idx2{i} = 2;
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9167
diff changeset
152 idx3{i} = 3;
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}(1) + dx{i}(2)) / dx{i}(2) * DD(idx2{:}) - ...
9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions.
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parents: 19697
diff changeset
154 dx{i}(1) / dx{i}(2) * DD(idx3{:});
6788
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155
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9167
diff changeset
156 idx1{i} = sz(i);
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9167
diff changeset
157 idx2{i} = sz(i) - 1;
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9167
diff changeset
158 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
159 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
160 dx{i}(sz(i) - 2) * DD(idx2{:}) - ...
9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions.
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parents: 19697
diff changeset
161 dx{i}(sz(i) - 1) / dx{i}(sz(i) - 2) * DD(idx3{:});
6788
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162 endif
c81a0f3f5a82 [project @ 2007-07-23 22:05:29 by dbateman]
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163
23946
c7b801f36be4 del2.m: Overhaul function (bug #51728).
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164 L += DD;
6788
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165 endif
c81a0f3f5a82 [project @ 2007-07-23 22:05:29 by dbateman]
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166 endfor
c81a0f3f5a82 [project @ 2007-07-23 22:05:29 by dbateman]
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parents:
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167
23946
c7b801f36be4 del2.m: Overhaul function (bug #51728).
Rik <rik@octave.org>
parents: 23220
diff changeset
168 L ./= nd;
21758
ffad2baa90f7 maint: Use newlines to make code more readable.
Rik <rik@octave.org>
parents: 21562
diff changeset
169
6788
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170 endfunction
17338
1c89599167a6 maint: End m-files with 1 blank line.
Rik <rik@octave.org>
parents: 14138
diff changeset
171
18617
21e5205679d0 del2.m: Add %!tests (bug #42005).
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172
21e5205679d0 del2.m: Add %!tests (bug #42005).
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173 ## 3x3 constant test
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
174 %!test
21e5205679d0 del2.m: Add %!tests (bug #42005).
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175 %! a = ones (3,3);
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176 %! b = del2 (a);
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diff changeset
177 %! assert (b(:,1), [0.00;0.00;0.00]);
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178 %! assert (b(:,2), [0.00;0.00;0.00]);
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diff changeset
179 %! assert (b(:,3), [0.00;0.00;0.00]);
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180
21e5205679d0 del2.m: Add %!tests (bug #42005).
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181 ## 3x3 planar test
21e5205679d0 del2.m: Add %!tests (bug #42005).
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182 %!test
21e5205679d0 del2.m: Add %!tests (bug #42005).
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183 %! a = [1,2,3;2,3,4;3,4,5];
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184 %! b = del2 (a);
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185 %! assert (b(:,1), [0.00;0.00;0.00]);
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diff changeset
186 %! assert (b(:,2), [0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
187 %! assert (b(:,3), [0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
188
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
189 ## 3x3 corner test
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
190 %!test
21e5205679d0 del2.m: Add %!tests (bug #42005).
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191 %! a = zeros (3,3);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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192 %! a(1,1) = 1.0;
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193 %! b = 2*del2 (a);
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diff changeset
194 %! assert (b(:,1), [1.00;0.50;0.50]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
195 %! assert (b(:,2), [0.50;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
196 %! assert (b(:,3), [0.50;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
197 %! assert (b, flipud (2*del2 (flipud (a))));
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
198 %! assert (b, fliplr (2*del2 (fliplr (a))));
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
199 %! assert (b, flipud (fliplr (2*del2 (fliplr (flipud (a))))));
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
200
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
201 ## 3x3 boundary test
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
202 %!test
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
203 %! a = zeros (3,3);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
204 %! a(2,1)=1.0;
21e5205679d0 del2.m: Add %!tests (bug #42005).
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205 %! b = 2*del2 (a);
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diff changeset
206 %! assert (b(:,1), [-1.00;-0.50;-1.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
207 %! assert (b(:,2), [0.00;0.50;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
208 %! assert (b(:,3), [0.00;0.50;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
209 %! assert (b, flipud (2*del2 (flipud (a))));
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
210 %! assert (b, fliplr (2*del2 (fliplr (a))));
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
211 %! assert (b, flipud (fliplr (2*del2 (fliplr (flipud (a))))));
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
212
21e5205679d0 del2.m: Add %!tests (bug #42005).
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213 ## 3x3 center test
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
214 %!test
21e5205679d0 del2.m: Add %!tests (bug #42005).
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215 %! a = zeros (3,3);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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216 %! a(2,2) = 1.0;
21e5205679d0 del2.m: Add %!tests (bug #42005).
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217 %! b = del2 (a);
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diff changeset
218 %! assert (b(:,1), [0.00;-0.50;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
219 %! assert (b(:,2), [-0.50;-1.00;-0.50]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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220 %! assert (b(:,3), [0.00;-0.50;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
221
21e5205679d0 del2.m: Add %!tests (bug #42005).
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222 ## 4x4 constant test
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
223 %!test
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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224 %! a = ones (4,4);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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225 %! b = del2 (a);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
226 %! assert (b(:,1), [0.00;0.00;0.00;0.00]);
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diff changeset
227 %! assert (b(:,2), [0.00;0.00;0.00;0.00]);
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228 %! assert (b(:,3), [0.00;0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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229 %! assert (b(:,4), [0.00;0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
230
21e5205679d0 del2.m: Add %!tests (bug #42005).
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231 ## 4x4 planar test
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
232 %!test
21e5205679d0 del2.m: Add %!tests (bug #42005).
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233 %! 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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234 %! b = del2 (a);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
235 %! assert (b(:,1), [0.00;0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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236 %! assert (b(:,2), [0.00;0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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237 %! assert (b(:,3), [0.00;0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
238 %! assert (b(:,4), [0.00;0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
239
21e5205679d0 del2.m: Add %!tests (bug #42005).
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240 ## 4x4 corner test
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
241 %!test
21e5205679d0 del2.m: Add %!tests (bug #42005).
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242 %! a = zeros (4,4);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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243 %! a(1,1) = 1.0;
21e5205679d0 del2.m: Add %!tests (bug #42005).
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244 %! b = 2*del2 (a);
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diff changeset
245 %! assert (b(:,1), [2.00;0.50;0.00;-0.50]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
246 %! assert (b(:,2), [0.50;0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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247 %! assert (b(:,3), [0.00;0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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248 %! assert (b(:,4), [-0.50;0.00;0.00;0.00]);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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249 %! assert (b, flipud (2*del2 (flipud (a))));
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
250 %! assert (b, fliplr (2*del2 (fliplr (a))));
21e5205679d0 del2.m: Add %!tests (bug #42005).
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251 %! assert (b, flipud (fliplr (2*del2 (fliplr (flipud (a))))));
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252
21e5205679d0 del2.m: Add %!tests (bug #42005).
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253 ## 9x9 center test
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diff changeset
254 %!test
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255 %! a = zeros (9,9);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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256 %! a(5,5) = 1.0;
21e5205679d0 del2.m: Add %!tests (bug #42005).
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257 %! b = 2*del2 (a);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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diff changeset
258 %! assert (b(:,1), [0.00;0.00;0.00;0.00;0.00;0.00;0.00;0.00;0.00]);
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259 %! assert (b(:,2), [0.00;0.00;0.00;0.00;0.00;0.00;0.00;0.00;0.00]);
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260 %! assert (b(:,3), [0.00;0.00;0.00;0.00;0.00;0.00;0.00;0.00;0.00]);
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261 %! 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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262 %! 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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263 %! assert (b(:,6), b(:,4));
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264 %! assert (b(:,7), b(:,3));
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265 %! assert (b(:,8), b(:,2));
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parents: 17744
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266 %! assert (b(:,9), b(:,1));
21e5205679d0 del2.m: Add %!tests (bug #42005).
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parents: 17744
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267
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
parents: 17744
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268 ## 9x9 boundary test
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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269 %!test
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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270 %! a = zeros (9,9);
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
parents: 17744
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271 %! a(1,5) = 1.0;
21e5205679d0 del2.m: Add %!tests (bug #42005).
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parents: 17744
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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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parents: 17744
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275 %! assert (b(3:9,:), zeros (7,9));
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276 %! a(1,5) = 0.0;
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parents: 17744
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277 %! a(5,1) = 1.0;
21e5205679d0 del2.m: Add %!tests (bug #42005).
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parents: 17744
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278 %! b = 2*del2 (a);
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279 %! 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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280 %! 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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281 %! assert (b(:,3:9), zeros (9,7));
21e5205679d0 del2.m: Add %!tests (bug #42005).
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282
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Allan Jacobs <jacobsallanster@gmail.com>
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283 ## 9x9 dh center test
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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284 %!test
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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285 %! a = zeros (9,9);
21e5205679d0 del2.m: Add %!tests (bug #42005).
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286 %! a(5,5) = 1.0;
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287 %! b = 8*del2 (a,2);
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288 %! assert (b(:,1:3), zeros (9,3));
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289 %! 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).
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290 %! 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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291 %! assert (b(:,6), b(:,4));
21e5205679d0 del2.m: Add %!tests (bug #42005).
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292 %! assert (b(:,7:9), zeros (9,3));
21e5205679d0 del2.m: Add %!tests (bug #42005).
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parents: 17744
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293
21e5205679d0 del2.m: Add %!tests (bug #42005).
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294 ## 9x9 dx test
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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295 %!test
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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296 %! a = zeros (9,9);
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297 %! a(5,5) = 1.0;
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298 %! b = 4*del2 (a,2,1);
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299 %! assert (b(1:3,:), zeros (3,9));
21e5205679d0 del2.m: Add %!tests (bug #42005).
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300 %! 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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301 %! assert (b(5,:), [0.00;0.00;0.00;0.25;-2.5;0.25;0.00;0.00;0.00]');
21e5205679d0 del2.m: Add %!tests (bug #42005).
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302 %! assert (b(6,:), b(4,:));
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303 %! assert (b(7:9,:), zeros (3,9));
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304
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Allan Jacobs <jacobsallanster@gmail.com>
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305 ## 9x9 dy test
21e5205679d0 del2.m: Add %!tests (bug #42005).
Allan Jacobs <jacobsallanster@gmail.com>
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306 %!test
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Allan Jacobs <jacobsallanster@gmail.com>
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307 %! a = zeros (9,9);
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308 %! a(5,5) = 1.0;
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309 %! b = 4*del2 (a,1,2);
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310 %! assert (b(:,1:3), zeros (9,3));
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311 %! 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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312 %! 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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313 %! assert (b(:,6), b(:,4));
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314 %! assert (b(:,7:9), zeros (9,3));
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315
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316 ## 3D test
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Allan Jacobs <jacobsallanster@gmail.com>
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317 %!test
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318 %! a = zeros (9,9,9);
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319 %! a(5,5,5) = 1.0;
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320 %! b = 8*3*del2 (a,2);
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321 %! assert (b(:,:,1:3), zeros (9,9,3));
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322 %! assert (b(:,1:3,:), zeros (9,3,9));
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323 %! assert (b(1:3,:,:), zeros (3,9,9));
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324 %! assert (b(4:5,4,4), [0.0,0.0]');
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325 %! assert (b(5,5,4), 1.00);
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326 %! assert (b(4,4,5), 0.00);
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327 %! assert (b(5,4,5), 1.00);
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328 %! 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
329 %! 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
diff changeset
330 %! 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
diff changeset
331 %! assert (b, flip (b,3));
23946
c7b801f36be4 del2.m: Overhaul function (bug #51728).
Rik <rik@octave.org>
parents: 23220
diff changeset
332
c7b801f36be4 del2.m: Overhaul function (bug #51728).
Rik <rik@octave.org>
parents: 23220
diff changeset
333 %!test <*51728>
c7b801f36be4 del2.m: Overhaul function (bug #51728).
Rik <rik@octave.org>
parents: 23220
diff changeset
334 %! x = linspace (-2*pi, 2*pi);
c7b801f36be4 del2.m: Overhaul function (bug #51728).
Rik <rik@octave.org>
parents: 23220
diff changeset
335 %! U = cos (x);
c7b801f36be4 del2.m: Overhaul function (bug #51728).
Rik <rik@octave.org>
parents: 23220
diff changeset
336 %! L = 4*del2 (U, x);
c7b801f36be4 del2.m: Overhaul function (bug #51728).
Rik <rik@octave.org>
parents: 23220
diff changeset
337
c7b801f36be4 del2.m: Overhaul function (bug #51728).
Rik <rik@octave.org>
parents: 23220
diff changeset
338 ## Test input validation
c7b801f36be4 del2.m: Overhaul function (bug #51728).
Rik <rik@octave.org>
parents: 23220
diff changeset
339 %!error del2 ()
c7b801f36be4 del2.m: Overhaul function (bug #51728).
Rik <rik@octave.org>
parents: 23220
diff changeset
340 %!error del2 (1, 1, 2, 3)
c7b801f36be4 del2.m: Overhaul function (bug #51728).
Rik <rik@octave.org>
parents: 23220
diff changeset
341 %!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
342 %!error <in spacing vector 2> del2 (1, [1 1], 2)
c7b801f36be4 del2.m: Overhaul function (bug #51728).
Rik <rik@octave.org>
parents: 23220
diff changeset
343 %!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
344