annotate scripts/general/rotdim.m @ 29359:7854d5752dd2

maint: merge stable to default.
author John W. Eaton <jwe@octave.org>
date Wed, 10 Feb 2021 10:10:40 -0500
parents d8318c12d903 0a5b15007766
children 796f54d4ddbf
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1 ########################################################################
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2 ##
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3 ## Copyright (C) 2004-2021 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 {} {} rotdim (@var{x})
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28 ## @deftypefnx {} {} rotdim (@var{x}, @var{n})
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29 ## @deftypefnx {} {} rotdim (@var{x}, @var{n}, @var{plane})
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30 ## Return a copy of @var{x} with the elements rotated counterclockwise in
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31 ## 90-degree increments.
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32 ##
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33 ## The second argument @var{n} is optional, and specifies how many 90-degree
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34 ## rotations are to be applied (the default value is 1). Negative values of
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35 ## @var{n} rotate the matrix in a clockwise direction.
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36 ##
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37 ## The third argument is also optional and defines the plane of the rotation.
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38 ## If present, @var{plane} is a two element vector containing two different
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39 ## valid dimensions of the matrix. When @var{plane} is not given the first two
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40 ## non-singleton dimensions are used.
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41 ##
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42 ## For example,
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43 ##
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44 ## @example
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45 ## @group
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46 ## rotdim ([1, 2; 3, 4], -1, [1, 2])
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47 ## @result{} 3 1
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48 ## 4 2
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49 ## @end group
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50 ## @end example
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51 ##
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52 ## @noindent
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53 ## rotates the given matrix clockwise by 90 degrees. The following are all
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54 ## equivalent statements:
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55 ##
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56 ## @example
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57 ## @group
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58 ## rotdim ([1, 2; 3, 4], -1, [1, 2])
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59 ## rotdim ([1, 2; 3, 4], 3, [1, 2])
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60 ## rotdim ([1, 2; 3, 4], 7, [1, 2])
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61 ## @end group
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62 ## @end example
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63 ## @seealso{rot90, fliplr, flipud, flip}
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64 ## @end deftypefn
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65
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66 function y = rotdim (x, n, plane)
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67
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68 if (nargin < 1)
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69 print_usage ();
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70 endif
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71
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72 if (nargin > 1 && ! isempty (n))
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73 if (! isscalar (n) || ! isreal (n) || fix (n) != n)
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74 error ("rotdim: N must be a scalar integer");
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75 endif
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76 else
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77 n = 1;
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78 endif
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79
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80 nd = ndims (x);
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81 sz = size (x);
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82 if (nargin < 3)
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83 if (nd > 2)
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84 ## Find the first two non-singleton dimension.
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85 plane = [];
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86 dim = 0;
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87 while (dim < nd)
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88 dim += 1;
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89 if (sz (dim) != 1)
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90 plane = [plane, dim];
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91 if (length (plane) == 2)
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92 break;
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93 endif
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94 endif
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95 endwhile
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96 if (length (plane) < 1)
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97 plane = [1, 2];
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98 elseif (length (plane) < 2)
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99 plane = [1, plane];
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100 endif
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101 else
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102 plane = [1, 2];
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103 endif
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104 else
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105 if (! (isvector (plane) && length (plane) == 2
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106 && all (plane == fix (plane)) && all (plane > 0)
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107 && all (plane < (nd + 1)) && plane(1) != plane(2)))
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108 error ("rotdim: PLANE must be a 2 element integer vector defining a valid PLANE");
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109 endif
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110 endif
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111
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112 n = rem (n, 4);
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113 if (n < 0)
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114 n += 4;
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115 endif
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116 if (n == 0)
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117 y = x;
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118 elseif (n == 2)
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119 y = flip (flip (x, plane(1)), plane(2));
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120 elseif (n == 1 || n == 3)
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121 perm = 1:nd;
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122 perm(plane(1)) = plane(2);
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123 perm(plane(2)) = plane(1);
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124 y = permute (x, perm);
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125 if (n == 1)
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126 y = flip (y, min (plane));
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127 else
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128 y = flip (y, max (plane));
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129 endif
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130 else
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131 error ("rotdim: internal error!");
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132 endif
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133
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134 endfunction
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135
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136
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137 %!shared r, rr
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138 %! r = [1,2,3]; rr = [3,2,1];
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139 %!assert (rotdim (r, 0), r)
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140 %!assert (rotdim (r, 1), rr')
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141 %!assert (rotdim (r, 2), rr)
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142 %!assert (rotdim (r, 3), r')
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143 %!assert (rotdim (r, 3), rotdim (r, -1))
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144 %!assert (rotdim (r, 1), rotdim (r))
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145
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146 %!shared c, cr
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147 %! c = [1;2;3]; cr = [3;2;1];
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148 %!assert (rotdim (c, 0), c)
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149 %!assert (rotdim (c, 1), c')
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150 %!assert (rotdim (c, 2), cr)
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151 %!assert (rotdim (c, 3), cr')
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152 %!assert (rotdim (c, 3), rotdim (c, -1))
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153 %!assert (rotdim (c, 1), rotdim (c))
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154
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155 %!shared m
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156 %! m = [1,2;3,4];
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157 %!assert (rotdim (m, 0), m)
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158 %!assert (rotdim (m, 1), [2,4;1,3])
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159 %!assert (rotdim (m, 2), [4,3;2,1])
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160 %!assert (rotdim (m, 3), [3,1;4,2])
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161 %!assert (rotdim (m, 3), rotdim (m, -1))
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162 %!assert (rotdim (m, 1), rotdim (m))
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163
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164 ## FIXME: We need tests for multidimensional arrays
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165 ## and different values of PLANE.
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166
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167 %!error <Invalid call> rotdim ()