annotate scripts/general/accumarray.m @ 14119:94e2a76f1e5a stable

doc: Final grammarcheck and spellcheck before 3.6.0 release. * container.txi, aspell-octave.en.pws, expr.txi, vectorize.txi, accumarray.m, accumdim.m, interpft.m, strread.m, parseparams.m, warning_ids.m, cellfun.cc, help.cc: grammarcheck and spellcheck docstrings.
author Rik <octave@nomad.inbox5.com>
date Thu, 29 Dec 2011 06:05:00 -0800
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1 ## Copyright (C) 2007-2011 David Bateman
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2 ## Copyright (C) 2009-2010 VZLU Prague
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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 (at
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9 ## 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 GNU
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14 ## 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 {Function File} {} accumarray (@var{subs}, @var{vals}, @var{sz}, @var{func}, @var{fillval}, @var{issparse})
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22 ## @deftypefnx {Function File} {} accumarray (@var{subs}, @var{vals}, @dots{})
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23 ##
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24 ## Create an array by accumulating the elements of a vector into the
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25 ## positions defined by their subscripts. The subscripts are defined by
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26 ## the rows of the matrix @var{subs} and the values by @var{vals}. Each
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27 ## row of @var{subs} corresponds to one of the values in @var{vals}. If
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28 ## @var{vals} is a scalar, it will be used for each of the row of
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29 ## @var{subs}. If @var{subs} is a cell array of vectors, all vectors
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30 ## must be of the same length, and the subscripts in the @var{k}th
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31 ## vector must correspond to the @var{k}th dimension of the result.
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32 ##
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33 ## The size of the matrix will be determined by the subscripts
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34 ## themselves. However, if @var{sz} is defined it determines the matrix
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35 ## size. The length of @var{sz} must correspond to the number of columns
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36 ## in @var{subs}. An exception is if @var{subs} has only one column, in
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37 ## which case @var{sz} may be the dimensions of a vector and the
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38 ## subscripts of @var{subs} are taken as the indices into it.
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39 ##
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40 ## The default action of @code{accumarray} is to sum the elements with
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41 ## the same subscripts. This behavior can be modified by defining the
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42 ## @var{func} function. This should be a function or function handle
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43 ## that accepts a column vector and returns a scalar. The result of the
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44 ## function should not depend on the order of the subscripts.
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45 ##
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46 ## The elements of the returned array that have no subscripts associated
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47 ## with them are set to zero. Defining @var{fillval} to some other value
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48 ## allows these values to be defined. This behavior changes, however,
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49 ## for certain values of @var{func}. If @var{func} is @code{min}
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50 ## (respectively, @code{max}) then the result will be filled with the
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51 ## minimum (respectively, maximum) integer if @var{vals} is of integral
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52 ## type, logical false (respectively, logical true) if @var{vals} is of
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53 ## logical type, zero if @var{fillval} is zero and all values are
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54 ## non-positive (respectively, non-negative), and NaN otherwise.
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55 ##
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56 ## By default @code{accumarray} returns a full matrix. If
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57 ## @var{issparse} is logically true, then a sparse matrix is returned
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58 ## instead.
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59 ##
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60 ## The following @code{accumarray} example constructs a frequency table
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61 ## that in the first column counts how many occurrences each number in
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62 ## the second column has, taken from the vector @var{x}. Note the usage
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63 ## of @code{unique} for assigning to all repeated elements of @var{x}
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64 ## the same index (@pxref{doc-unique}).
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65 ##
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66 ## @example
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67 ## @group
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68 ## x = [91, 92, 90, 92, 90, 89, 91, 89, 90, 100, 100, 100];
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69 ## [u, ~, j] = unique (x);
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70 ## [accumarray(j', 1), u']
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71 ## @result{} 2 89
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72 ## 3 90
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73 ## 2 91
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74 ## 2 92
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75 ## 3 100
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76 ## @end group
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77 ## @end example
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78 ##
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79 ## Another example, where the result is a multi-dimensional 3-D array and
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80 ## the default value (zero) appears in the output:
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81 ##
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82 ## @example
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83 ## @group
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84 ## accumarray ([1, 1, 1;
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85 ## 2, 1, 2;
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86 ## 2, 3, 2;
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87 ## 2, 1, 2;
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88 ## 2, 3, 2], 101:105)
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89 ## @result{} ans(:,:,1) = [101, 0, 0; 0, 0, 0]
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90 ## ans(:,:,2) = [0, 0, 0; 206, 0, 208]
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91 ## @end group
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92 ## @end example
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93 ##
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94 ## The complexity in the non-sparse case is generally O(M+N), where N is
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95 ## the number of subscripts and M is the maximum subscript (linearized
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96 ## in multi-dimensional case). If @var{func} is one of @code{@@sum}
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97 ## (default), @code{@@max}, @code{@@min} or @code{@@(x) @{x@}}, an
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98 ## optimized code path is used. Note that for general reduction function
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99 ## the interpreter overhead can play a major part and it may be more
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100 ## efficient to do multiple accumarray calls and compute the results in
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101 ## a vectorized manner.
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102 ##
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103 ## @seealso{accumdim, unique}
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104 ## @end deftypefn
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105
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106 function A = accumarray (subs, vals, sz = [], func = [], fillval = [], issparse = [])
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107
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108 if (nargin < 2 || nargin > 6)
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109 print_usage ();
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110 endif
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111
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112 lenvals = length (vals);
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113
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114 if (iscell (subs))
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115 subs = cellfun (@vec, subs, "uniformoutput", false);
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116 ndims = numel (subs);
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117 if (ndims == 1)
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118 subs = subs{1};
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119 endif
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120
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121 lensubs = cellfun (@length, subs);
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122
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123 if (any (lensubs != lensubs(1)) ||
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124 (lenvals > 1 && lenvals != lensubs(1)))
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125 error ("accumarray: dimension mismatch");
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126 endif
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diff changeset
127
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128 else
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129 ndims = columns (subs);
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130 if (lenvals > 1 && lenvals != rows (subs))
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131 error ("accumarray: dimension mismatch")
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132 endif
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133 endif
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134
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135 if (isempty (fillval))
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136 fillval = 0;
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137 endif
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138
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139 if (isempty (issparse))
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140 issparse = false;
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141 endif
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142
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143 if (issparse)
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144
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145 ## Sparse case. Avoid linearizing the subscripts, because it could
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146 ## overflow.
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147
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148 if (fillval != 0)
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149 error ("accumarray: FILLVAL must be zero in the sparse case");
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150 endif
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151
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152 ## Ensure subscripts are a two-column matrix.
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153 if (iscell (subs))
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154 subs = [subs{:}];
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155 endif
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156
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157 ## Validate dimensions.
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158 if (ndims == 1)
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159 subs(:,2) = 1;
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160 elseif (ndims != 2)
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161 error ("accumarray: in the sparse case, needs 1 or 2 subscripts");
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162 endif
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163
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164 if (isnumeric (vals) || islogical (vals))
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165 vals = double (vals);
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166 else
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167 error ("accumarray: in the sparse case, values must be numeric or logical");
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168 endif
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169
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170 if (! (isempty (func) || func == @sum))
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171
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172 ## Reduce values. This is not needed if we're about to sum them,
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173 ## because "sparse" can do that.
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174
10268
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175 ## Sort indices.
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176 [subs, idx] = sortrows (subs);
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177 n = rows (subs);
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178 ## Identify runs.
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179 jdx = find (any (diff (subs, 1, 1), 2));
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180 jdx = [jdx; n];
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181
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182 vals = cellfun (func, mat2cell (vals(:)(idx), diff ([0; jdx])));
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183 subs = subs(jdx, :);
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184 mode = "unique";
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185 else
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186 mode = "sum";
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187 endif
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188
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189 ## Form the sparse matrix.
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190 if (isempty (sz))
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191 A = sparse (subs(:,1), subs(:,2), vals, mode);
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192 elseif (length (sz) == 2)
13788
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193
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194 ## Row vector case
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195 if (sz(1) == 1)
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196 [i, j] = deal (subs(:,2), subs(:,1));
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197 else
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198 [i, j] = deal (subs(:,1), subs(:,2));
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199 endif
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200 A = sparse (i, j, vals, sz(1), sz(2), mode);
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201 else
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202 error ("accumarray: dimensions mismatch");
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203 endif
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204
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205 else
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206
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207 ## Linearize subscripts.
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208 if (ndims > 1)
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209 if (isempty (sz))
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210 if (iscell (subs))
12931
cefd568ea073 Replace function handles with function names in cellfun calls for 15% speedup.
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diff changeset
211 sz = cellfun ("max", subs);
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212 else
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213 sz = max (subs, [], 1);
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214 endif
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215 elseif (ndims != length (sz))
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216 error ("accumarray: dimensions mismatch");
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217 endif
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218
10268
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219 ## Convert multidimensional subscripts.
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220 if (ismatrix (subs))
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221 subs = num2cell (subs, 1);
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222 endif
10274
db613bccd992 take advantage of new sort optimization in accumarray
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223 subs = sub2ind (sz, subs{:}); # creates index cache
10271
297996005012 1 more small fix in accumarray
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224 elseif (! isempty (sz) && length (sz) < 2)
10269
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225 error ("accumarray: needs at least 2 dimensions");
10274
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226 elseif (! isindex (subs)) # creates index cache
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227 error ("accumarray: indices must be positive integers");
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228 endif
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229
10268
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230
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231 ## Some built-in reductions handled efficiently.
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232
10268
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233 if (isempty (func) || func == @sum)
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234 ## Fast summation.
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235 if (isempty (sz))
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236 A = __accumarray_sum__ (subs, vals);
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237 else
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238 A = __accumarray_sum__ (subs, vals, prod (sz));
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239 ## set proper shape.
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240 A = reshape (A, sz);
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241 endif
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242
c2099a4d12ea partially optimize accumarray
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243 ## we fill in nonzero fill value.
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244 if (fillval != 0)
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245 mask = true (size (A));
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246 mask(subs) = false;
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247 A(mask) = fillval;
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248 endif
10268
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249 elseif (func == @max)
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250 ## Fast maximization.
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251
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252 if (isinteger (vals))
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253 zero = intmin (class (vals));
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254 elseif (islogical (vals))
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255 zero = false;
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256 elseif (fillval == 0 && all (vals(:) >= 0))
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257 ## This is a common case - fillval is zero, all numbers
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258 ## nonegative.
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259 zero = 0;
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260 else
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261 zero = NaN; # Neutral value.
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262 endif
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parents: 9859
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263
9a16a61ed43d new optimizations for accumarray
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parents: 9859
diff changeset
264 if (isempty (sz))
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265 A = __accumarray_max__ (subs, vals, zero);
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266 else
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267 A = __accumarray_max__ (subs, vals, zero, prod (sz));
10268
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268 A = reshape (A, sz);
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diff changeset
269 endif
8934
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parents: 8920
diff changeset
270
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diff changeset
271 if (fillval != zero && ! (isnan (fillval) || isnan (zero)))
10268
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272 mask = true (size (A));
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273 mask(subs) = false;
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274 A(mask) = fillval;
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275 endif
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diff changeset
276 elseif (func == @min)
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277 ## Fast minimization.
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278
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diff changeset
279 if (isinteger (vals))
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diff changeset
280 zero = intmax (class (vals));
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diff changeset
281 elseif (islogical (vals))
10269
217d36560dfa small fixes to accumarray
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parents: 10268
diff changeset
282 zero = true;
13787
8bb7bdbe9c69 Clarify max/min in accumarray and uniformise its behaviour
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parents: 13175
diff changeset
283 elseif (fillval == 0 && all (vals(:) <= 0))
14115
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284 ## This is a common case - fillval is zero, all numbers
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285 ## non-positive.
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286 zero = 0;
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287 else
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288 zero = NaN; # Neutral value.
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289 endif
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parents: 9859
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290
9a16a61ed43d new optimizations for accumarray
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parents: 9859
diff changeset
291 if (isempty (sz))
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diff changeset
292 A = __accumarray_min__ (subs, vals, zero);
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diff changeset
293 else
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diff changeset
294 A = __accumarray_min__ (subs, vals, zero, prod (sz));
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295 A = reshape (A, sz);
9a16a61ed43d new optimizations for accumarray
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parents: 9859
diff changeset
296 endif
8820
89b95972e178 fix previously introduced problem in octave_sort, improve design
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parents: 8507
diff changeset
297
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parents: 10283
diff changeset
298 if (fillval != zero && ! (isnan (fillval) || isnan (zero)))
10268
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diff changeset
299 mask = true (size (A));
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parents: 9859
diff changeset
300 mask(subs) = false;
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parents: 9859
diff changeset
301 A(mask) = fillval;
9a16a61ed43d new optimizations for accumarray
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parents: 9859
diff changeset
302 endif
9a16a61ed43d new optimizations for accumarray
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parents: 9859
diff changeset
303 else
9a16a61ed43d new optimizations for accumarray
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parents: 9859
diff changeset
304
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c792872f8942 all script files: untabify and strip trailing whitespace
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
305 ## The general case. Reduce values.
10268
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diff changeset
306 n = rows (subs);
11469
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parents: 11191
diff changeset
307 if (numel (vals) == 1)
c776f063fefe Overhaul m-script files to use common variable name between code and documentation.
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diff changeset
308 vals = vals(ones (1, n), 1);
10268
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diff changeset
309 else
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diff changeset
310 vals = vals(:);
10268
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diff changeset
311 endif
11587
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John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
312
10268
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diff changeset
313 ## Sort indices.
9a16a61ed43d new optimizations for accumarray
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parents: 9859
diff changeset
314 [subs, idx] = sort (subs);
9a16a61ed43d new optimizations for accumarray
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parents: 9859
diff changeset
315 ## Identify runs.
10283
b178769f31ca more small improvements in accumarray
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parents: 10277
diff changeset
316 jdx = find (subs(1:n-1) != subs(2:n));
10268
9a16a61ed43d new optimizations for accumarray
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diff changeset
317 jdx = [jdx; n];
11469
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diff changeset
318 vals = mat2cell (vals(idx), diff ([0; jdx]));
14115
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Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14114
diff changeset
319 ## Optimize the case when function is @(x) {x}, i.e. we just want
0b3518c1228a acumarray.m: Reformat long lines
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14114
diff changeset
320 ## to collect the values to cells.
10268
9a16a61ed43d new optimizations for accumarray
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parents: 9859
diff changeset
321 persistent simple_cell_str = func2str (@(x) {x});
9a16a61ed43d new optimizations for accumarray
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parents: 9859
diff changeset
322 if (! strcmp (func2str (func), simple_cell_str))
11469
c776f063fefe Overhaul m-script files to use common variable name between code and documentation.
Rik <octave@nomad.inbox5.com>
parents: 11191
diff changeset
323 vals = cellfun (func, vals);
10268
9a16a61ed43d new optimizations for accumarray
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diff changeset
324 endif
9a16a61ed43d new optimizations for accumarray
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parents: 9859
diff changeset
325 subs = subs(jdx);
9a16a61ed43d new optimizations for accumarray
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parents: 9859
diff changeset
326
14114
da67f032a712 accumarray.m: Handle the case of empty size argument for functions besides @sum
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14113
diff changeset
327 if (isempty (sz))
da67f032a712 accumarray.m: Handle the case of empty size argument for functions besides @sum
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14113
diff changeset
328 sz = max (subs);
da67f032a712 accumarray.m: Handle the case of empty size argument for functions besides @sum
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14113
diff changeset
329 if (length (sz) == 1)
da67f032a712 accumarray.m: Handle the case of empty size argument for functions besides @sum
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parents: 14113
diff changeset
330 sz(2) = 1;
da67f032a712 accumarray.m: Handle the case of empty size argument for functions besides @sum
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parents: 14113
diff changeset
331 endif
da67f032a712 accumarray.m: Handle the case of empty size argument for functions besides @sum
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14113
diff changeset
332 endif
da67f032a712 accumarray.m: Handle the case of empty size argument for functions besides @sum
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14113
diff changeset
333
10268
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diff changeset
334 ## Construct matrix of fillvals.
11469
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parents: 11191
diff changeset
335 if (iscell (vals))
10268
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diff changeset
336 A = cell (sz);
9a16a61ed43d new optimizations for accumarray
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parents: 9859
diff changeset
337 elseif (fillval == 0)
11469
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diff changeset
338 A = zeros (sz, class (vals));
10268
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diff changeset
339 else
9a16a61ed43d new optimizations for accumarray
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parents: 9859
diff changeset
340 A = repmat (fillval, sz);
9a16a61ed43d new optimizations for accumarray
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parents: 9859
diff changeset
341 endif
9a16a61ed43d new optimizations for accumarray
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parents: 9859
diff changeset
342
9a16a61ed43d new optimizations for accumarray
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parents: 9859
diff changeset
343 ## Set the reduced values.
11469
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diff changeset
344 A(subs) = vals;
6770
babcbcc11ab6 [project @ 2007-07-06 08:44:04 by dbateman]
dbateman
parents:
diff changeset
345 endif
babcbcc11ab6 [project @ 2007-07-06 08:44:04 by dbateman]
dbateman
parents:
diff changeset
346 endif
babcbcc11ab6 [project @ 2007-07-06 08:44:04 by dbateman]
dbateman
parents:
diff changeset
347 endfunction
babcbcc11ab6 [project @ 2007-07-06 08:44:04 by dbateman]
dbateman
parents:
diff changeset
348
babcbcc11ab6 [project @ 2007-07-06 08:44:04 by dbateman]
dbateman
parents:
diff changeset
349 %!error (accumarray (1:5))
babcbcc11ab6 [project @ 2007-07-06 08:44:04 by dbateman]
dbateman
parents:
diff changeset
350 %!error (accumarray ([1,2,3],1:2))
babcbcc11ab6 [project @ 2007-07-06 08:44:04 by dbateman]
dbateman
parents:
diff changeset
351 %!assert (accumarray ([1;2;4;2;4],101:105), [101;206;0;208])
babcbcc11ab6 [project @ 2007-07-06 08:44:04 by dbateman]
dbateman
parents:
diff changeset
352 %!assert (accumarray ([1,1,1;2,1,2;2,3,2;2,1,2;2,3,2],101:105),cat(3, [101,0,0;0,0,0],[0,0,0;206,0,208]))
babcbcc11ab6 [project @ 2007-07-06 08:44:04 by dbateman]
dbateman
parents:
diff changeset
353 %!assert (accumarray ([1,1,1;2,1,2;2,3,2;2,1,2;2,3,2],101:105,[],@(x)sin(sum(x))),sin(cat(3, [101,0,0;0,0,0],[0,0,0;206,0,208])))
babcbcc11ab6 [project @ 2007-07-06 08:44:04 by dbateman]
dbateman
parents:
diff changeset
354 %!assert (accumarray ({[1 3 3 2 3 1 2 2 3 3 1 2],[3 4 2 1 4 3 4 2 2 4 3 4],[1 1 2 2 1 1 2 1 1 1 2 2]},101:112),cat(3,[0,0,207,0;0,108,0,0;0,109,0,317],[0,0,111,0;104,0,0,219;0,103,0,0]))
babcbcc11ab6 [project @ 2007-07-06 08:44:04 by dbateman]
dbateman
parents:
diff changeset
355 %!assert (accumarray ([1,1;2,1;2,3;2,1;2,3],101:105,[2,4],@max,NaN),[101,NaN,NaN,NaN;104,NaN,105,NaN])
14114
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parents: 14113
diff changeset
356 %!assert (accumarray ([1 1; 2 1; 2 3; 2 1; 2 3],101:105, [], @prod), [101, 0, 0; 10608, 0, 10815])
6770
babcbcc11ab6 [project @ 2007-07-06 08:44:04 by dbateman]
dbateman
parents:
diff changeset
357 %!assert (accumarray ([1 1; 2 1; 2 3; 2 1; 2 3],101:105,[2 4],@prod,0,true),sparse([1,2,2],[1,1,3],[101,10608,10815],2,4))
babcbcc11ab6 [project @ 2007-07-06 08:44:04 by dbateman]
dbateman
parents:
diff changeset
358 %!assert (accumarray ([1 1; 2 1; 2 3; 2 1; 2 3],1,[2,4]), [1,0,0,0;2,0,2,0])
babcbcc11ab6 [project @ 2007-07-06 08:44:04 by dbateman]
dbateman
parents:
diff changeset
359 %!assert (accumarray ([1 1; 2 1; 2 3; 2 1; 2 3],101:105,[2,4],@(x)length(x)>1),[false,false,false,false;true,false,true,false])
13788
9ab64f063c96 Consistently allow creation of sparse vectors in accumarray
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 13787
diff changeset
360 %!assert (accumarray ([1; 2], [3; 4], [2, 1], @min, [], 0), [3; 4])
9ab64f063c96 Consistently allow creation of sparse vectors in accumarray
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 13787
diff changeset
361 %!assert (accumarray ([1; 2], [3; 4], [2, 1], @min, [], 1), sparse ([3; 4]))
9ab64f063c96 Consistently allow creation of sparse vectors in accumarray
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 13787
diff changeset
362 %!assert (accumarray ([1; 2], [3; 4], [1, 2], @min, [], 0), [3, 4])
9ab64f063c96 Consistently allow creation of sparse vectors in accumarray
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 13787
diff changeset
363 %!assert (accumarray ([1; 2], [3; 4], [1, 2], @min, [], 1), sparse ([3, 4]))
6770
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dbateman
parents:
diff changeset
364 %!test
babcbcc11ab6 [project @ 2007-07-06 08:44:04 by dbateman]
dbateman
parents:
diff changeset
365 %! A = accumarray ([1 1; 2 1; 2 3; 2 1; 2 3],101:105,[2,4],@(x){x});
10268
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diff changeset
366 %! assert (A{2},[102;104])
9a16a61ed43d new optimizations for accumarray
Jaroslav Hajek <highegg@gmail.com>
parents: 9859
diff changeset
367 %!test
9a16a61ed43d new optimizations for accumarray
Jaroslav Hajek <highegg@gmail.com>
parents: 9859
diff changeset
368 %! subs = ceil (rand (2000, 3)*10);
11469
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diff changeset
369 %! vals = rand (2000, 1);
c776f063fefe Overhaul m-script files to use common variable name between code and documentation.
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parents: 11191
diff changeset
370 %! assert (accumarray (subs, vals, [], @max), accumarray (subs, vals, [], @(x) max (x)));
10268
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diff changeset
371 %!test
9a16a61ed43d new optimizations for accumarray
Jaroslav Hajek <highegg@gmail.com>
parents: 9859
diff changeset
372 %! subs = ceil (rand (2000, 1)*100);
11469
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parents: 11191
diff changeset
373 %! vals = rand (2000, 1);
c776f063fefe Overhaul m-script files to use common variable name between code and documentation.
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parents: 11191
diff changeset
374 %! assert (accumarray (subs, vals, [100, 1], @min, NaN), accumarray (subs, vals, [100, 1], @(x) min (x), NaN));
10268
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diff changeset
375 %!test
9a16a61ed43d new optimizations for accumarray
Jaroslav Hajek <highegg@gmail.com>
parents: 9859
diff changeset
376 %! subs = ceil (rand (2000, 2)*30);
9a16a61ed43d new optimizations for accumarray
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parents: 9859
diff changeset
377 %! subsc = num2cell (subs, 1);
11469
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parents: 11191
diff changeset
378 %! vals = rand (2000, 1);
c776f063fefe Overhaul m-script files to use common variable name between code and documentation.
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parents: 11191
diff changeset
379 %! assert (accumarray (subsc, vals, [], [], 0, true), accumarray (subs, vals, [], [], 0, true));
10268
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diff changeset
380 %!test
9a16a61ed43d new optimizations for accumarray
Jaroslav Hajek <highegg@gmail.com>
parents: 9859
diff changeset
381 %! subs = ceil (rand (2000, 3)*10);
9a16a61ed43d new optimizations for accumarray
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parents: 9859
diff changeset
382 %! subsc = num2cell (subs, 1);
11469
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parents: 11191
diff changeset
383 %! vals = rand (2000, 1);
c776f063fefe Overhaul m-script files to use common variable name between code and documentation.
Rik <octave@nomad.inbox5.com>
parents: 11191
diff changeset
384 %! assert (accumarray (subsc, vals, [], @max), accumarray (subs, vals, [], @max));
10268
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parents: 9859
diff changeset
385
9a16a61ed43d new optimizations for accumarray
Jaroslav Hajek <highegg@gmail.com>
parents: 9859
diff changeset
386