Mercurial > octave
annotate scripts/statistics/normalize.m @ 31356:07a3ceab58d6
* normalize.m: Fix typo in previous change.
author | John W. Eaton <jwe@octave.org> |
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date | Thu, 27 Oct 2022 10:38:47 -0400 |
parents | 4c6c8f14766c |
children | 1193e869de98 |
rev | line source |
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1 ######################################################################## |
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2 ## |
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3 ## Copyright (C) 2017-2020 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{Z} =} normalize (@var{X}) |
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28 ## @deftypefnx {} {@var{Z} =} normalize (@var{X}, @var{dim}) |
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29 ## @deftypefnx {} {@var{Z} =} normalize (@dots{}, @var{method}) |
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30 ## @deftypefnx {} {@var{Z} =} normalize (@dots{}, @var{method}, @var{Option}) |
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31 ## @deftypefnx {} {@var{Z} =} normalize (@dots{}, @var{scale}, @var{ScaleOption}, @var{center}, @var{CenterOption}) |
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32 ## @deftypefnx {} {[@var{Z}, @var{C}, @var{S}] =} normalize (@dots{}) |
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33 ## |
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34 ## Return a normalization of the data in @var{X} using one of several available |
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35 ## scaling and centering methods. |
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36 ## |
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37 ## @code{normalize} by default will return the @code{zscore} of @var{X}, defined |
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38 ## as the number of standard deviations each element is from the mean of |
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39 ## @var{X}. This is equivalent to centering at the mean of the data and scaling |
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40 ## by the standard deviation. |
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41 ## |
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42 ## The returned value @var{Z} will have the same size as @var{X}. The optional |
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43 ## return variables @var{C} and @var{S} are the centering and scaling factors |
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44 ## used in the normalization such that: |
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45 ## |
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46 ## @example |
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47 ## @group |
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48 ## @tcode{@var{Z} = (@var{X} - @var{C}) ./ @var{S}} |
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49 ## @end group |
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50 ## @end example |
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51 ## |
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52 ## If @var{X} is a vector, @code{normalize} will operate on the data in @var{X}. |
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53 ## |
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54 ## If @var{X} is a matrix, @code{normalize} will operate independently on |
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55 ## each column in @var{X}. |
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56 ## |
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57 ## If @var{X} is a n-dimensional array, @code{normalize} will operate |
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58 ## independently on the first non-singleton dimension in @var{X}. |
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59 ## |
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60 ## The optional second input variable @var{DIM} can be used to force |
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61 ## @code{normalize} to operate over the specified dimension. @var{DIM} |
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62 ## must be an integer scalar. |
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63 ## |
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64 ## The optional input variables @var{Method} and @var{Option} can be used to |
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65 ## specify the type of normalization performed on @var{X}. Note that only the |
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66 ## @option{scale} and @option{center} options may be specified together using |
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67 ## any of the methods defined below. Valid normalization methods are: |
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68 ## |
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69 ## @table @code |
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70 ## @item zscore |
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71 ## (Default) Normalizes the elements in @var{X} to the scaled distance from a |
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72 ## central value. Valid Options: |
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73 ## |
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74 ## @table @code |
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75 ## @item std |
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76 ## (Default) Data is centered at @code{mean(@var{X})} and scaled by the |
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77 # standard deviation. |
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78 ## @item robust |
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79 ## Data is centered at @code{median(@var{X})} and scaled by the median |
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80 ## absolute deviation. |
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81 ## @end table |
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82 ## |
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83 ## @item norm |
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84 ## @var{Z} is the general vector norm of @var{X}, with @var{OPTION} being the |
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85 ## normalization factor @var{P} that determines the vector norm type according |
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86 ## to: |
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87 ## @tex |
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88 ## $$Z = \left (\sum_k \left | X_k \right |^P \right )^{1/P}$$ |
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89 ## @end tex |
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90 ## @ifnottex |
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91 ## |
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92 ## @example |
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93 ## @group |
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94 ## @tcode{@var{Z} = [sum (abs(@var{X})^@var{P})]^(1/@var{P})} |
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95 ## @end group |
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96 ## @end example |
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97 ## |
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98 ## @end ifnottex |
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99 ## @var{P} can be any positive scalar, specific values being: |
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100 ## |
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101 ## @table @code |
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102 ## @item @var{P} = 1 |
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103 ## @var{X} is normalized by @code{sum (abs (@var{X}))}. |
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104 ## @item @var{P} = 2 |
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105 ## (Default) @var{X} is normalized by the Euclidian norm, or vector |
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106 ## magnitude, of the elements. |
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107 ## @item @var{P} = Inf |
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108 ## @var{X} is normalized by @code{max (abs (@var{X}))}. |
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109 ## @end table |
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110 ## |
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111 ## @item scale |
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112 ## @var{X} is scaled by a factor determined by @var{Option}, which can be a |
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113 ## numeric scalar or one of the following: |
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114 ## |
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115 ## @table @code |
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116 ## @item std |
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117 ## (Default) @var{X} is scaled by its standard deviation. |
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118 ## @item mad |
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119 ## @var{X} is scaled by its median absolute deviation. |
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120 ## @item first |
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121 ## @var{X} is scaled by the first element in the vector. |
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122 ## @item iqr |
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123 ## @var{X} is scaled by the vector's interquartile range. |
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124 ## @end table |
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125 ## |
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126 ## @item range |
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127 ## @var{X} is scaled to fit the range specified by @var{Option} as a two element |
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128 ## scalar row vector. The default range is [0 1]. |
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129 ## |
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130 ## @item center |
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131 ## @var{X} is shifted by an amount determined by @var{Option}, which can be a |
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132 ## numeric scalar or one of the following: |
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133 ## |
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134 ## @table @code |
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135 ## @item mean |
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136 ## (Default) @var{X} is shifted by @code{mean (@var{X})}. |
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137 ## @item median |
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138 ## @var{X} is shifted by @code{median (@var{X})}. |
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139 ## @end table |
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140 ## |
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141 ## @item medianiqr |
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142 ## @var{X} is shifted such by @code{median (@var{X})} and scaled by the vector's |
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143 ## interquartile range. |
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144 ## @end table |
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145 ## |
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146 ## Known @sc{matlab} incompatibilities: |
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147 ## |
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148 ## @enumerate |
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149 ## @item |
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150 ## The DataVariables option is not yet implemented in @code{normalize} for |
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151 ## Table class @var{X} inputs. |
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152 ## |
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153 ## @item |
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154 ## Certain arrays containing NaN elements may not return Matlab compatible |
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155 ## output. |
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156 ## @end enumerate |
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157 ## |
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158 ## @seealso{zscore, iqr, norm, rescale, std, median, mean, mad} |
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159 ## @end deftypefn |
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160 |
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161 function [z, centervalues, scalevalues] = normalize (x, varargin) |
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162 ## FIXME: until NANFLAG/OMITNAN option is implemented in std, mean, median, |
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163 ## etc., normalize cannot efficiently reproduce some behavior with NaN's in x. |
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164 ## xtests added to capture this. (see bug #50571) |
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165 |
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166 ## FIXME: when table class is implemented, remove DataVariables error line in |
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167 ## option checking section and add DataVariables data handling switch setion. |
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168 |
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169 ## input checks |
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170 if ((nargin < 1) || (nargin > 8)) |
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171 print_usage (); |
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172 endif |
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173 |
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174 if !(isnumeric (x) || islogical (x)) |
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175 error ("normalize: X must be a numeric vector, matrix, or array"); |
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176 endif |
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177 |
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178 if (nargin == 1) |
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179 ## directly handle simple 1 input case. |
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180 [scalevalues, centervalues] = std (x); |
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181 z = (x - centervalues)./ scalevalues; |
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182 |
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183 else |
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184 ## parse input options |
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185 dim = []; # default = vector dimension, matrix column, or 1st n-dim >1 |
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186 method = []; # default = zscore |
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187 methodoption = []; # default = std |
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188 datavariables_flag = false; |
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189 datavar = []; |
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190 scale_and_center_flag = false; |
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191 |
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192 vararg_idx = 1; |
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193 ##only second optional input can be numeric without following a method |
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194 if isnumeric (varargin{1}) |
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195 dim = varargin{1}; |
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196 ##check for valid dimensions |
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197 if !((isscalar (dim)) && (dim > 0) && (dim == fix (dim))) |
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198 error ("normalize: DIM must be a positive scalar integer"); |
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199 endif |
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200 vararg_idx++; |
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201 endif |
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202 |
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203 ## parse varargin to determine methods then options |
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204 while (vararg_idx <= (nargin - 1)) |
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205 ## arguments after second cannot be numeric without following a method |
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206 if isnumeric (varargin{vararg_idx}) |
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207 print_usage (); |
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208 endif |
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209 |
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210 prop = tolower (varargin{vararg_idx}); |
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211 |
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212 if (strcmp (prop,"datavariables")) |
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213 ##FIXME: remove error on next line when Tables is implemented |
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214 error ("normalize: DataVariables method not yet implemented."); |
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215 if (vararg_idx == (nargin - 1)) |
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216 error (["normalize: DataVariables requires a table variable", ... |
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217 " be specified"]); |
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218 elseif (datavariables_flag == true) |
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219 error ("normalize: DataVariables may only be specified once"); |
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220 else |
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221 datavariables_flag = true; |
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222 datavar = varargin{vararg_idx+1}; #no tolower if Tables case sensitive |
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223 vararg_idx++; |
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224 endif |
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225 |
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226 else |
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227 if (!isempty (method)) |
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228 ## catch if a second method is passed |
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229 if (scale_and_center_flag) |
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230 ## if true, already specified two methods, three never possible |
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231 error ("normalize: too many methods specified"); |
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232 |
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233 elseif ((strcmp ({method, prop}, {"center", "scale"})) ... |
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234 || strcmp ({method, prop}, {"scale", "center"})) |
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235 ## only scale and center can be called together |
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236 scale_and_center_flag = true; |
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237 ## scale/center order doesn't matter, avoid overwriting first one |
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238 stored_method = method; |
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239 method = []; |
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240 stored_methodoption = methodoption; |
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241 methodoption = []; |
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242 else |
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243 ## not scale and center, throw appropriate error |
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244 if any (strcmp (prop, {"zscore", "norm", "range", "scale", ... |
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245 "center", "medianiqr"})) |
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246 error ("normalize: methods `%s` and `%s` may not be combined", ... |
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247 method, prop); |
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248 else |
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249 error ("normalize: unknown method `%s`", prop); |
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250 endif |
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251 endif |
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252 endif |
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253 |
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254 ## determine method and whether there's an appropriate option specified |
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255 switch (prop) |
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256 case "zscore" |
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257 method = "zscore"; |
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258 if (vararg_idx < (nargin - 1)) |
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259 nextprop = tolower (varargin{vararg_idx+1}); |
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260 if (strcmp (nextprop, "std") || strcmp (nextprop, "robust")) |
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261 if (!isempty (methodoption)) |
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262 error ("normalize: only one method option may be specified"); |
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263 endif |
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264 methodoption = nextprop; |
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265 vararg_idx++; |
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266 endif |
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267 endif |
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268 if (isempty (methodoption)) |
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269 methodoption = "std"; |
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270 endif |
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271 |
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272 case "norm" |
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273 method = "norm"; |
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274 if ((vararg_idx < (nargin - 1)) && ... |
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275 isnumeric (varargin{vararg_idx+1})) |
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276 nextprop = varargin{vararg_idx+1}; |
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277 if (isscalar (nextprop) && (nextprop > 0)) |
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278 if (!isempty (methodoption)) |
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279 error ("normalize: only one method option may be specified"); |
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280 endif |
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281 methodoption = nextprop; |
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282 vararg_idx++; |
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283 else |
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284 error (["normalize: 'norm' option must be a positive ", ... |
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285 "scalar or Inf"]); |
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286 endif |
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287 endif |
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288 if (isempty (methodoption)) |
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289 methodoption = 2; |
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290 endif |
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291 |
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292 case "range" |
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293 method = "range"; |
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294 if (vararg_idx < (nargin - 1) && isnumeric (varargin{vararg_idx+1})) |
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295 nextprop = varargin{vararg_idx+1}; |
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296 if (size (nextprop) == [1 2]) |
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297 if (!isempty (methodoption)) |
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298 error ("normalize: only one method option may be specified"); |
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299 endif |
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300 methodoption = nextprop; |
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301 vararg_idx++; |
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302 else |
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303 error (["normalize: 'range' must be specified as a ", ... |
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304 "2-element row vector [a b]"]); |
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305 endif |
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306 endif |
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307 if (isempty (methodoption)) |
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308 methodoption = [0 1]; |
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309 endif |
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310 |
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311 case "scale" |
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312 method = "scale"; |
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313 if (vararg_idx < (nargin - 1)) |
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314 nextprop = tolower (varargin{vararg_idx+1}); |
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315 if (isnumeric (nextprop)) |
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316 if (!isscalar (nextprop)) |
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317 error ("normalize: scale value must be a scalar"); |
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318 else |
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319 methodoption = nextprop; |
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320 vararg_idx++; |
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321 endif |
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322 elseif (any (strcmp (nextprop, {"std", "mad", "first", "iqr"}))) |
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323 if (!isempty (methodoption)) |
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324 error ("normalize: only one method option may be specified"); |
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325 endif |
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326 methodoption = nextprop; |
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327 vararg_idx++; |
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328 endif |
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329 endif |
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330 |
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331 if (isempty (methodoption)) |
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332 methodoption = 'std'; |
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333 endif |
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334 |
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335 case "center" |
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336 method = "center"; |
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337 if (vararg_idx < (nargin - 1)) |
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338 nextprop = tolower (varargin{vararg_idx+1}); |
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339 if (isscalar (nextprop) || ... |
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340 any (strcmp (nextprop, {"mean", "median"}))) |
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341 if (!isempty (methodoption)) |
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342 error ("normalize: only one method option may be specified"); |
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343 endif |
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344 methodoption = nextprop; |
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345 vararg_idx++; |
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346 elseif (isnumeric (nextprop)) |
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347 error ("normalize: center shift must be a scalar value"); |
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348 endif |
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349 endif |
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350 if (isempty (methodoption)) |
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351 methodoption = 'mean'; |
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352 endif |
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353 |
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354 case "medianiqr" |
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355 method = "medianiqr"; |
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356 |
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357 otherwise |
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358 error ("normalize: unknown method '%s'", prop); |
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359 endswitch |
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360 endif |
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361 vararg_idx++; |
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362 endwhile |
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363 |
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364 if scale_and_center_flag |
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365 method = "scaleandcenter"; |
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366 endif |
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367 |
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368 if isempty (method) |
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369 method = 'zscore'; |
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370 methodoption = 'std'; |
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371 endif |
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372 |
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373 if isempty (dim) |
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374 if isvector (x) |
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375 if iscolumn (x) |
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376 dim = 1; |
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377 else |
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378 dim = 2; |
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379 endif |
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380 elseif (ismatrix(x)) |
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381 ## matrix x, operate independently along columns |
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382 dim = 1; |
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383 else |
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384 ## operate on first non-singleton dimension. |
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385 dim = find ((size (x) > 1), 1); |
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386 endif |
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387 |
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388 endif |
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389 |
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390 |
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391 ## Perform normalization based on specified methods |
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392 |
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393 ## FIXME: DataTables option not handled below. Fix after Table Class |
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394 ## has been implemented. |
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395 |
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396 ## Default scaling factors: |
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397 centervalues = 0; |
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398 scalevalues = 1; |
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399 |
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400 switch (method) |
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401 case "zscore" |
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402 switch methodoption |
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403 case "std" |
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404 [scalevalues, centervalues] = std (x, [], dim); |
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405 case "robust" |
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406 ##center/median to zero and MAD = 1 |
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407 centervalues = median (x, dim); |
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408 scalevalues = median (abs (x - centervalues), dim); |
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409 endswitch |
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410 |
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411 case "norm" |
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412 switch methodoption |
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413 case 1 |
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414 scalevalues = sum (abs (x), dim); |
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415 case Inf |
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416 scalevalues = max (abs (x), [], dim); |
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417 otherwise |
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418 scalevalues = sum ((abs (x) .^ methodoption), dim) .^... |
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419 (1./methodoption); |
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420 endswitch |
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421 |
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422 case "range" |
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423 ## if any range element = 0, avoid divide by zero by replacing that |
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424 ## range element with 1. output will be zero+min due to x-min(x)=0. |
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425 x_range = range (x, dim); |
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426 x_range(x_range == 0) = 1; |
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427 z_range = methodoption(2) - methodoption(1); |
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428 scalevalues = x_range ./ z_range; |
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429 centervalues = min (x, [], dim) - (methodoption(1) .* scalevalues); |
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430 |
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431 case "scale" |
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432 scalevalues = process_scale_option (x, dim, methodoption); |
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433 |
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434 case "center" |
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435 centervalues = process_center_option (x, dim, methodoption); |
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436 |
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437 case "scaleandcenter" |
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438 ## repeats scale and center using appropriate order and info |
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439 |
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440 switch (stored_method) |
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441 case "scale" |
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442 ## stored info is scale, latest info is center |
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443 center_option = methodoption; |
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444 scale_option = stored_methodoption; |
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445 |
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446 case "center" |
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447 ## stored info is center, latest info is scale |
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448 center_option = stored_methodoption; |
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449 scale_option = methodoption; |
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450 endswitch |
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451 |
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452 scalevalues = process_scale_option (x, dim, scale_option); |
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453 centervalues = process_center_option (x, dim, center_option); |
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454 |
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455 case "medianiqr" |
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456 centervalues = median (x, dim); |
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457 scalevalues = iqr (x, dim); |
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458 endswitch |
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459 |
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460 endif |
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461 |
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462 ## div by scale factor. if scale = 0, div by zero = Inf is ok. |
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463 z = (x - centervalues) ./ scalevalues; |
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464 endfunction |
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465 |
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466 function c = process_center_option (x, dim, center_option) |
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467 if (isnumeric (center_option)) |
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468 c = center_option; |
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469 else |
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470 switch (center_option) |
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471 case "mean" |
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472 c = mean (x, dim); |
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473 case "median" |
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474 c = median (x, dim); |
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475 endswitch |
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476 endif |
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477 endfunction |
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478 |
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479 function s = process_scale_option (x, dim, scale_option) |
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480 warning("off", "Octave:divide-by-zero"); |
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481 if (isnumeric (scale_option)) |
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482 s = scale_option; |
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483 else |
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484 switch (scale_option) |
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485 case "std" |
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486 s = std (x, [], dim); |
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487 case "mad" |
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488 s = mad (x, 1, dim); |
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489 case "first" |
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490 dim_vector = repmat ({':'}, ndims(x), 1); |
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491 dim_vector{dim} = 1; |
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492 s = x(dim_vector{:}); |
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493 case "iqr" |
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494 s = iqr (x, dim); |
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495 endswitch |
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496 endif |
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497 warning("on", "Octave:divide-by-zero") |
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498 endfunction |
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499 |
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500 ## no method specified, using zscore & std |
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501 %!assert (normalize ([1,2,3]), [-1,0,1]) |
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502 %!assert (normalize ([1,2,3], 2), [-1,0,1]) |
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503 %!assert (normalize (single ([1,2,3])), single ([-1,0,1])) |
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504 %!assert (normalize ([2,0,-2;0,2,0;-2,-2,2]), [1,0,-1;0,1,0;-1,-1,1]) |
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505 %!assert (normalize (magic (3)), [[3;-2;-1]/sqrt(7),[-1;0;1],[1;2;-3]/sqrt(7)]) |
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506 %!assert (normalize (magic (3), 2), [[3 -4 1]/sqrt(13);[-1 0 1];[-1 4 -3]/sqrt(13)]) |
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507 |
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508 ## Method: zscore, [std, robust] |
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509 %!assert (normalize ([1,2,3],"zscore","std"), [-1,0,1]) |
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510 %!assert (normalize ([2,0,-2;0,2,0;-2,-2,2],"zscore","std"), [1,0,-1;0,1,0;-1,-1,1]) |
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511 %!assert (normalize (magic (3),"zscore","std"), [[3;-2;-1]/sqrt(7),[-1;0;1],[1;2;-3]/sqrt(7)]) |
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512 %!assert (normalize ([1,2,3],"zscore","robust"), [-1,0,1]) |
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513 %!assert (normalize ([2,0,-2;0,2,0;-2,-2,2],"zscore","robust"), [1,0,-1;0,1,0;-1,-1,1]) |
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514 %!assert (normalize (magic (3),"zscore","robust"), [4 -1 0; -1 0 1; 0 1 -4]) |
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515 |
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516 ## Method: norm [1, 2, inf] |
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517 %!assert (normalize ([1,2,3],"norm",1), [1/6 1/3 1/2]) |
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518 %!assert (normalize ([2,0,-2;0,2,0;-2,-2,2],"norm",1), [1,0,-1;0,1,0;-1,-1,1]/2) |
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519 %!assert (normalize (magic (3),"norm",1), magic(3)/15) |
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520 %!assert (normalize ([1,2,3],"norm",2), [1 2 3]./3.741657386773941, eps) |
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521 %!assert (normalize ([2,0,-2;0,2,0;-2,-2,2],"norm",2), [1,0,-1;0,1,0;-1,-1,1]*(sqrt(2)/2), eps) |
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522 %!assert (normalize ([1,2,3],"norm",Inf), [1/3 2/3 1]) |
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523 %!assert (normalize ([2,0,-2;0,2,0;-2,-2,2],"norm",Inf), [1,0,-1;0,1,0;-1,-1,1]) |
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524 %!assert (normalize (magic (3),"norm",Inf), [[8;3;4]/8,[1;5;9]/9,[6;7;2]/7]) |
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525 |
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526 ## Method: range |
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527 %!assert (normalize ([1,2,3],"range"), [0 0.5 1]) |
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|
528 %!assert (normalize ([2,0,-2;0,2,0;-2,-2,2],"range",[0 1]), [1,0.5,0;0.5,1,0.5;0,0,1]) |
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529 %!assert (normalize (magic (3),"range",[-1 1]), [1 -1 0.6; -1 0 1; -0.6 1 -1], eps) |
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|
530 |
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|
531 ## Method: scale [mad first iqr number] |
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532 %!assert (normalize ([1,2,3],"scale"), [1 2 3]) |
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533 %!assert (normalize ([2,0,-2;0,2,0;-2,-2,2],"scale","std"), [1 0 -1; 0 1 0; -1 -1 1]) |
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|
534 %!assert (normalize (magic (3),"scale",2), (magic(3)/2)) |
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|
535 |
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|
536 %!assert (normalize ([1,2,3],"scale", "mad"), [1 2 3]) |
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|
537 %!assert (normalize ([2,0,-2;0,2,0;-2,-2,2],"scale","mad"), [1 0 -1; 0 1 0; -1 -1 1]) |
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|
538 %!assert (normalize (magic (3),"scale","mad"), [8 0.25 6; 3 1.25 7; 4 2.25 2]) |
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|
539 |
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|
540 %!assert (normalize ([1,2,3],"scale", "first"), [1 2 3]) |
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|
541 %!assert (normalize ([2,0,-2;0,2,0;-2,-2,2],"scale","first"), [1 NaN 1; 0 Inf 0; -1 -Inf -1]) |
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|
542 %!assert (normalize (magic (3),"scale","first"), [1 1 1; 3/8 5 7/6; 0.5 9 1/3]) |
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543 %!assert (normalize (magic (3),2,"scale","first"), [1 1/8 3/4;1 5/3 7/3;1 9/4 0.5]) |
ecfb41743fd2
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Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
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|
544 %!test |
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parents:
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|
545 %! x = reshape (magic (4),2,2,2,2); |
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parents:
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546 %! y3 = cat (4, cat (3,ones(2),[1/8 7/9;11/5 7/2]), cat (3,ones(2),[13/3 2; 4/5 1/15])); |
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parents:
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547 %! y4 = cat (4, ones (2,2,2), cat (3,[3/16 2/3; 2 15/4],[6.5 12/7; 8/11 1/14] )); |
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parents:
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548 %! assert (normalize (x, 3, "scale", "first"), y3); |
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parents:
diff
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|
549 %! assert (normalize (x, 4, "scale", "first"), y4); |
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parents:
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|
550 |
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Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
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|
551 %!assert (normalize ([1,2,3], "scale", "iqr"), [1 2 3]*2/3) |
ecfb41743fd2
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Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
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|
552 %!assert (normalize ([1,2,3]', "scale", "iqr"), ([1 2 3]')*2/3) |
ecfb41743fd2
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Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
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553 %!assert (normalize ([2,0,-2;0,2,0;-2,-2,2],"scale","iqr"), [1 0 -1; 0 1 0; -1 -1 1]* 2/3, eps) |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
554 %!assert (normalize (magic (3),"scale","iqr"), [[8;3;4]/3.75,[1;5;9]/6,[6;7;2]/3.75],eps) |
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Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
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|
555 |
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parents:
diff
changeset
|
556 ## Method: center [mean median number] |
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parents:
diff
changeset
|
557 %!assert (normalize ([1,2,3], "center"), [-1 0 1]) |
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Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
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|
558 %!assert (normalize ([1,2,3], 1, "center"), [0 0 0]) |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
559 %!assert (normalize ([1,2,3], "center", 10), [-9 -8 -7]) |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
560 %!assert (normalize ([1 2 3 10], "center", "mean"), [-3 -2 -1 6]) |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
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|
561 %!assert (normalize ([1 2 3 10], "center", "median"), [-1.5 -0.5 0.5 7.5]) |
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parents:
diff
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562 |
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parents:
diff
changeset
|
563 ## Method: medianiqr |
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parents:
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564 %!assert (normalize ([1,2,3], "medianiqr"), [-1 0 1]*2/3) |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
565 %!assert (normalize ([1,2,3]', "medianiqr"), ([-1 0 1]')*2/3) |
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Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
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566 %!assert (normalize ([2,0,-2;0,2,0;-2,-2,2], "medianiqr"), [1 0 -1; 0 1 0; -1 -1 1]*2/3) |
ecfb41743fd2
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Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
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567 %!assert (normalize (magic (3), "medianiqr"), [8/5 -1 0; -2/5 0 2/5; 0 1 -8/5]*2/3) |
ecfb41743fd2
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Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
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|
568 |
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Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
569 ##test nan and inf |
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Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
570 %!assert (normalize ([1 2 Inf], 2), [NaN, NaN, NaN]) |
ecfb41743fd2
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Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
571 %!assert (normalize ([1 2 3], 1), [NaN, NaN, NaN]) |
ecfb41743fd2
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Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
572 %!assert (normalize ([1 2 3], 3), [NaN, NaN, NaN]) |
ecfb41743fd2
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Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
573 %!assert (normalize (ones (3,2,2,2)), NaN (3,2,2,2)) |
ecfb41743fd2
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Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
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|
574 %!assert (normalize (Inf), NaN) |
ecfb41743fd2
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Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
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|
575 %!assert (normalize (NaN), NaN) |
ecfb41743fd2
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parents:
diff
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|
576 %!assert (normalize ([Inf, NaN]), [NaN, NaN]) |
ecfb41743fd2
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Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
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|
577 %!assert (normalize ([Inf, NaN]'), [NaN, NaN]') |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
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|
578 %!assert (normalize ([Inf, Inf], 1), [NaN, NaN]) |
ecfb41743fd2
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Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
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|
579 %!assert (normalize ([Inf, Inf], 2), [NaN, NaN]) |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
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580 %!assert (normalize ([Inf, Inf]', 1), [NaN, NaN]') |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
581 %!assert (normalize ([Inf, Inf]', 2), [NaN, NaN]') |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
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|
582 %!assert (normalize ([1 2 NaN; NaN 3 4], 1), [NaN -1 NaN; NaN 1 NaN]*sqrt(2)/2, eps) |
ecfb41743fd2
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parents:
diff
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|
583 |
ecfb41743fd2
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parents:
diff
changeset
|
584 ##Two input methods, must be scale and center |
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585 %!assert (normalize (magic(3), "scale", "center"), normalize (magic(3), "zscore"), eps) |
ecfb41743fd2
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parents:
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|
586 %!assert (normalize (magic(3), "center", "scale"), normalize (magic(3), "zscore"), eps) |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
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|
587 |
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588 ##Test additional outputs |
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parents:
diff
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|
589 %!test |
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parents:
diff
changeset
|
590 %! [z, c, s] = normalize ([1, 2, 3], 2); |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
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591 %! assert ({z, c, s}, {[-1 0 1], [2], [1]}); |
ecfb41743fd2
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parents:
diff
changeset
|
592 %! [z, c, s] = normalize (magic (3), "zscore", "std"); |
ecfb41743fd2
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Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
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|
593 %! assert ({z, c, s}, {[[3;-2;-1]/sqrt(7),[-1;0;1],[1;2;-3]/sqrt(7)], [5 5 5], [sqrt(7) 4 sqrt(7)]}); |
ecfb41743fd2
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Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
594 %! [z, c, s] = normalize (magic (3), "zscore", "robust"); |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
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|
595 %! assert ({z, c, s}, {[4 -1 0; -1 0 1; 0 1 -4], [4 5 6], [1 4 1]}); |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
596 %! [z, c, s] = normalize (magic (3), "norm", 1); |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
597 %! assert ({z, c, s}, {magic(3)/15 , 0, [15 15 15]}); |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
598 %! [z, c, s] = normalize ([2,0,-2;0,2,0;-2,-2,2],"norm",2); |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
599 %! assert ({z, c, s}, {[1,0,-1;0,1,0;-1,-1,1]*(sqrt(2)/2), 0, [1 1 1]*2*sqrt(2)}, eps) |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
600 %! [z, c, s] = normalize ([1 2 3], "norm", Inf); |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
601 %! assert ({z, c, s}, {[1 2 3]/3, 0, 3}, eps); |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
602 %! [z, c, s] = normalize (magic (3),"range",[-1 1]); |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
603 %! assert ({z, c, s}, {[1 -1 0.6; -1 0 1; -0.6 1 -1], [5.5 5 4.5], [2.5 4 2.5]}, eps) |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
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|
604 %! [z, c, s] = normalize (magic (3),"scale","mad"); |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
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|
605 %! assert ({z, c, s}, {[8 0.25 6; 3 1.25 7; 4 2.25 2], 0, [1 4 1]}); |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
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|
606 %! [z, c, s] = normalize (magic (3),"scale","first"); |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
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|
607 %! assert ({z, c, s}, {[1 1 1; 3/8 5 7/6; 0.5 9 1/3],0, [8 1 6]}, eps); |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
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|
608 %! [z, c, s] = normalize ([1,2,3]', "scale", "iqr"); |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
609 %! assert ({z, c, s}, {([1 2 3]')*2/3, 0, 1.5}); |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
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|
610 %! [z, c, s] = normalize ([1,2,3], "center", 10); |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
611 %! assert ({z, c, s}, {[-9 -8 -7], 10, 1}); |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
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|
612 %! [z, c, s] = normalize ([1 2 3 10], "center", "mean"); |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
613 %! assert ({z, c, s}, {[-3 -2 -1 6], 4, 1}) |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
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|
614 %! [z, c, s] = normalize ([1 2 3 10], "center", "median"); |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
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|
615 %! assert ({z, c, s}, {[-1.5 -0.5 0.5 7.5], 2.5, 1}); |
ecfb41743fd2
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Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
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|
616 %! [z, c, s] = normalize (magic (3), "medianiqr"); |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
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|
617 %! assert ({z, c, s}, {[8/5 -1 0; -2/5 0 2/5; 0 1 -8/5]*2/3, [4 5 6], [3.75 6 3.75]}, eps) |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
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|
618 %! [z, c, s] = normalize ([1 2 Inf], 2); |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
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|
619 %! assert ({z, c, s}, {[NaN, NaN, NaN], Inf, NaN}); |
ecfb41743fd2
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Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
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|
620 %! [z, c, s] = normalize (Inf); |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
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|
621 %! assert ({z, c, s}, {NaN, Inf, NaN}); |
ecfb41743fd2
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|
622 |
ecfb41743fd2
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|
623 ## Matlab ignores NaNs, operating as if the vector had one less element, then |
ecfb41743fd2
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parents:
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|
624 ## returns the result retaining the NaN in the solution. |
31352
014648ce3267
normalize.m: Add xtest bug number and cleanup line-lengths (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
31351
diff
changeset
|
625 %!assert <50571> (normalize ([1 2 NaN], 2), [-1, 1, NaN]*sqrt(2)/2) |
014648ce3267
normalize.m: Add xtest bug number and cleanup line-lengths (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
31351
diff
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|
626 %!assert <50571> (normalize ([1 2 NaN; 1 2 3], 2), [[-1 1 NaN]*sqrt(2)/2; -1 0 1], eps) |
31351
ecfb41743fd2
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Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
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|
627 |
ecfb41743fd2
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diff
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|
628 ## Test input validation |
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629 %!error normalize () |
ecfb41743fd2
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Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
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|
630 %!error normalize (1, 2, 3) |
ecfb41743fd2
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Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
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|
631 %!error <X must be a numeric> normalize (['A'; 'B']) |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
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|
632 %!error <DIM must be a positive scalar integer> normalize (1, ones (2,2)) |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
633 %!error <DIM must be a positive scalar integer> normalize (1, 1.5) |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
634 %!error <DIM must be a positive scalar integer> normalize (1, -1) |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
635 %!error <DIM must be a positive scalar integer> normalize (1, [1 2]) |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
636 %!error <DIM must be a positive scalar integer> normalize (1, 0) |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
637 %!error <may not be combined> normalize ([1 2 3], "norm", "zscore") |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
638 %!error <unknown method> normalize ([1 2 3], "norm", "foo") |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
639 %!error <too many methods specified> normalize ([1 2 3], "scale", "center", "norm") |
31353
fa3ae8fd8449
normalize.m: correct error messages split across lines (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
31352
diff
changeset
|
640 %!error <'norm' option must be a positive scalar or Inf> normalize ([1 2 3], "norm", -1) |
fa3ae8fd8449
normalize.m: correct error messages split across lines (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
31352
diff
changeset
|
641 %!error <'norm' option must be a positive scalar or Inf> normalize ([1 2 3], "norm", -Inf) |
fa3ae8fd8449
normalize.m: correct error messages split across lines (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
31352
diff
changeset
|
642 %!error <'norm' option must be a positive scalar or Inf> normalize ([1 2 3], "norm", [1 2]) |
31351
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
643 %!error <'range' must be specified as> normalize ([1 2 3], "range", [1 2]') |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
644 %!error <'range' must be specified as> normalize ([1 2 3], "range", [1 2 3]) |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
645 %!error <'range' must be specified as> normalize ([1 2 3], "range", 1) |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
646 %!error <scale value must be a scalar> normalize ([1 2 3], "scale", [1 2 3]) |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
647 %!error <scale value must be a scalar> normalize ([1 2 3], "scale", [1 2 3]') |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
648 %!error <scale value must be a scalar> normalize ([1 2 3], "scale", [1 2; 3 4]) |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
649 %!error <center shift must be a scalar value> normalize ([1 2 3], "center", [1 2]) |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
650 %!error <center shift must be a scalar value> normalize ([1 2 3], "center", [1 2]') |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
651 %!error <center shift must be a scalar value> normalize ([1 2 3], "center", [1 2; 3 4]) |
ecfb41743fd2
Implement new function 'normalize' (bug #55765)
Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
parents:
diff
changeset
|
652 %!error <unknown method> normalize ([1 2 3], "foo") |