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1 ## Copyright (C) 2000 Paul Kienzle |
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2 ## |
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3 ## This file is part of Octave. |
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4 ## |
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5 ## Octave is free software; you can redistribute it and/or modify it |
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6 ## under the terms of the GNU General Public License as published by |
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7 ## the Free Software Foundation; either version 2, or (at your option) |
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8 ## any later version. |
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9 ## |
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10 ## Octave is distributed in the hope that it will be useful, but |
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of |
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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13 ## General Public License for more details. |
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14 ## |
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15 ## You should have received a copy of the GNU General Public License |
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16 ## along with Octave; see the file COPYING. If not, write to the Free |
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17 ## Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA |
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18 ## 02110-1301, USA. |
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19 |
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20 ## -*- texinfo -*- |
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21 ## @deftypefn {Function File} {} repmat (@var{A}, @var{m}, @var{n}) |
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22 ## @deftypefnx {Function File} {} repmat (@var{A}, [@var{m} @var{n}]) |
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23 ## @deftypefnx {Function File} {} repmat (@var{A}, [@var{m} @var{n} @var{p} ...]) |
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24 ## Form a block matrix of size @var{m} by @var{n}, with a copy of matrix |
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25 ## @var{A} as each element. If @var{n} is not specified, form an |
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26 ## @var{m} by @var{m} block matrix. |
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27 ## @end deftypefn |
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28 |
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29 ## Author: Paul Kienzle <pkienzle@kienzle.powernet.co.uk> |
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30 ## Created: July 2000 |
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31 |
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32 function x = repmat (a, m, n) |
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33 |
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34 if (nargin < 2 || nargin > 3) |
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35 print_usage (); |
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36 endif |
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37 |
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38 if (nargin == 3) |
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39 if (! (isscalar (m) && isscalar (n))) |
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40 error ("repmat: with 3 arguments m and n must be scalar"); |
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41 endif |
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42 idx = [m, n]; |
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43 else |
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44 if (isscalar (m)) |
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45 idx = [m, m]; |
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46 n = m; |
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47 elseif (isvector (m) && length (m) > 1) |
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48 # Ensure that we have a row vector |
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49 idx = m(:).'; |
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50 else |
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51 error ("repmat: invalid dimensional argument"); |
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52 endif |
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53 endif |
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54 |
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55 if (numel (a) == 1) |
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56 if (ischar (a)) |
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57 x = char (toascii (a) * ones (idx)); |
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58 else |
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59 if (strcmp (class (a), "double")) |
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60 ## This is faster with octave for double/Complex |
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61 x = a * ones(idx, class(a)); |
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62 else |
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63 cidx = cell (1, length (idx)); |
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64 for i=1:length(idx) |
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65 cidx{i} = ones (1,idx(i)); |
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66 endfor |
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67 x = a (cidx{:}); |
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68 endif |
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69 endif |
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70 elseif (ndims (a) == 2 && length (idx) < 3) |
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71 if (ischar (a)) |
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72 x = char (kron (ones (idx), toascii (a))); |
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73 elseif (strcmp (class(a), "double")) |
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74 ## FIXME -- DISPATCH. |
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75 if (issparse (a)) |
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76 x = spkron (ones (idx), a); |
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77 else |
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78 x = kron (ones (idx), a); |
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79 endif |
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80 else |
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81 aidx = size(a); |
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82 x = a (kron (ones (1, idx(1)), 1:aidx(1)), |
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83 kron (ones (1, idx(2)), 1:aidx(2))); |
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84 endif |
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85 else |
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86 aidx = size(a); |
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87 if (length(aidx) > length(idx)) |
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88 idx = [idx, ones(1,length(aidx)-length(idx))]; |
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89 elseif (length(aidx) < length(idx)) |
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90 aidx = [aidx, ones(1,length(idx)-length(aidx))]; |
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91 endif |
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92 cidx = cell (1, length (aidx)); |
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93 for i=1:length(aidx) |
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94 cidx{i} = kron (ones (1, idx(i)), 1:aidx(i)); |
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95 endfor |
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96 x = a (cidx{:}); |
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97 endif |
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98 |
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99 endfunction |
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100 |
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101 # Test various methods of providing size parameters |
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102 %!shared x |
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103 %! x = [1 2;3 4]; |
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104 %!assert(repmat(x, [1 1]), repmat(x, 1)); |
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105 %!assert(repmat(x, [3 3]), repmat(x, 3)); |
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106 %!assert(repmat(x, [1 1]), repmat(x, 1, 1)); |
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107 %!assert(repmat(x, [1 3]), repmat(x, 1, 3)); |
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108 %!assert(repmat(x, [3 1]), repmat(x, 3, 1)); |
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109 %!assert(repmat(x, [3 3]), repmat(x, 3, 3)); |
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110 |
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111 # Tests for numel==1 case: |
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112 %!shared x, r |
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113 %! x = [ 65 ]; |
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114 %! r = kron(ones(2,2), x); |
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115 %!assert(r, repmat(x, [2 2])); |
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116 %!assert(char(r), repmat(char(x), [2 2])); |
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117 %!assert(int8(r), repmat(int8(x), [2 2])); |
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118 |
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119 # Tests for ndims==2 case: |
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120 %!shared x, r |
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121 %! x = [ 65 66 67 ]; |
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122 %! r = kron(ones(2,2), x); |
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123 %!assert(r, repmat(x, [2 2])); |
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124 %!assert(char(r), repmat(char(x), [2 2])); |
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125 %!assert(int8(r), repmat(int8(x), [2 2])); |
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126 |
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127 # Tests for dim>2 case: |
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128 %!shared x, r |
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129 %! x = [ 65 66 67 ]; |
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130 %! r = kron(ones(2,2), x); |
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131 %! r(:,:,2) = r(:,:,1); |
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132 %!assert(r, repmat(x, [2 2 2])); |
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133 %!assert(char(r), repmat(char(x), [2 2 2])); |
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134 %!assert(int8(r), repmat(int8(x), [2 2 2])); |
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135 |
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136 # Test that sparsity is kept |
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137 %!assert(sparse(4,4), repmat(sparse(2,2),[2 2])); |
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138 |
