annotate scripts/statistics/mean.m @ 26596:cc0d942d0e20

Remove inconsistent warning "Octave:divide-by-zero" (bug #46650). * libinterp/corefcn/errwarn.h (warn_divide_by_zero), libinterp/corefcn/errwarn.cc (warn_divide_by_zero): Deprecate function "warn_divide_by_zero", and leave implementation empty for a few releases. * libinterp/corefcn/error.cc: Use different id for test. * examples/code/make_int.cc: No longer advertise "warn_divide_by_zero" in the examples. * libinterp/operators/op-*-*.cc: Remove unused header "errwarn.h". Remove check for scalar zero divisor including the warning. * libinterp/operators/op-dms-template.cc (gripe_if_zero): Remove function. * scripts/general/quadgk.m, scripts/general/quadv.m, scripts/statistics/kurtosis.m, scripts/statistics/mean.m, scripts/statistics/skewness.m: No longer need to turn off unused warning. * scripts/help/warning_ids.m: Remove documentation of "Octave:divide-by-zero". * test/jit.tst, test/mk-sparse-tst.sh, test/prefer.tst: Remove warning "Octave:divide-by-zero".
author Kai T. Ohlhus <k.ohlhus@gmail.com>
date Tue, 22 Jan 2019 14:34:08 +0100
parents 00f796120a6d
children b442ec6dda5c
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rev   line source
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1 ## Copyright (C) 1995-2019 Kurt Hornik
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2 ##
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3 ## This file is part of Octave.
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4 ##
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5 ## Octave is free software: you can redistribute it and/or modify it
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6 ## under the terms of the GNU General Public License as published by
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7 ## the Free Software Foundation, either version 3 of the License, or
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8 ## (at your option) any later version.
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9 ##
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10 ## Octave is distributed in the hope that it will be useful, but
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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13 ## GNU General Public License for more details.
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14 ##
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15 ## You should have received a copy of the GNU General Public License
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16 ## along with Octave; see the file COPYING. If not, see
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17 ## <https://www.gnu.org/licenses/>.
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18
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19 ## -*- texinfo -*-
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20 ## @deftypefn {} {} mean (@var{x})
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21 ## @deftypefnx {} {} mean (@var{x}, @var{dim})
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22 ## @deftypefnx {} {} mean (@var{x}, @var{opt})
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23 ## @deftypefnx {} {} mean (@var{x}, @var{dim}, @var{opt})
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24 ## @deftypefnx {} {} mean (@dots{}, @var{outtype})
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25 ## Compute the mean of the elements of the vector @var{x}.
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26 ##
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27 ## The mean is defined as
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28 ##
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29 ## @tex
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30 ## $$ {\rm mean}(x) = \bar{x} = {1\over N} \sum_{i=1}^N x_i $$
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31 ## where $N$ is the number of elements of @var{x}.
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32 ##
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33 ## @end tex
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34 ## @ifnottex
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35 ##
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36 ## @example
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37 ## mean (@var{x}) = SUM_i @var{x}(i) / N
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38 ## @end example
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39 ##
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40 ## @noindent
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41 ## where @math{N} is the length of the @var{x} vector.
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42 ##
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43 ## @end ifnottex
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44 ## If @var{x} is a matrix, compute the mean for each column and return them
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45 ## in a row vector.
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46 ##
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47 ## If the optional argument @var{dim} is given, operate along this dimension.
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48 ##
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49 ## The optional argument @var{opt} selects the type of mean to compute.
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50 ## The following options are recognized:
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51 ##
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52 ## @table @asis
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53 ## @item @qcode{"a"}
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54 ## Compute the (ordinary) arithmetic mean. [default]
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55 ##
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56 ## @item @qcode{"g"}
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57 ## Compute the geometric mean.
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58 ##
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59 ## @item @qcode{"h"}
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60 ## Compute the harmonic mean.
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61 ## @end table
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62 ##
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63 ## The optional argument @var{outtype} selects the data type of the
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64 ## output value. The following options are recognized:
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65 ##
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66 ## @table @asis
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67 ## @item @qcode{"default"}
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68 ## Output will be of class double unless @var{x} is of class single,
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69 ## in which case the output will also be single.
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70 ##
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71 ## @item @qcode{"double"}
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72 ## Output will be of class double.
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73 ##
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74 ## @item @qcode{"native"}
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75 ## Output will be the same class as @var{x} unless @var{x} is of class
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76 ## logical in which case it returns of class double.
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77 ##
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78 ## @end table
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79 ##
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80 ## Both @var{dim} and @var{opt} are optional. If both are supplied, either
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81 ## may appear first.
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82 ## @seealso{median, mode}
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83 ## @end deftypefn
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84
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85 ## Author: KH <Kurt.Hornik@wu-wien.ac.at>
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86 ## Description: Compute arithmetic, geometric, and harmonic mean
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87
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88 function y = mean (x, varargin)
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89
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90 if (nargin < 1 || nargin > 4)
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91 print_usage ();
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92 endif
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93
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94 if (! (isnumeric (x) || islogical (x)))
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95 error ("mean: X must be a numeric vector or matrix");
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96 endif
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97 nd = ndims (x);
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98 sz = size (x);
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99
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100 ## We support too many options...
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101
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102 ## If OUTTYPE is set, it must be the last option. If DIM and
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103 ## MEAN_TYPE exist, they must be the first two options
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104
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105 out_type = "default";
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106 if (numel (varargin))
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107 maybe_out_type = tolower (varargin{end});
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108 if (any (strcmpi (maybe_out_type, {"default", "double", "native"})))
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109 out_type = maybe_out_type;
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110 varargin(end) = [];
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111 endif
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112 endif
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113
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114 scalars = cellfun (@isscalar, varargin);
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115 chars = cellfun (@ischar, varargin);
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116 numerics = cellfun (@isnumeric, varargin);
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117
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118 dim_mask = numerics & scalars;
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119 mean_type_mask = chars & scalars;
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120 if (! all (dim_mask | mean_type_mask))
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121 print_usage ();
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122 endif
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123
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124 switch (nnz (dim_mask))
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125 case 0 # Find the first non-singleton dimension
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126 (dim = find (sz > 1, 1)) || (dim = 1);
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127 case 1
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128 dim = varargin{dim_mask};
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129 if (dim != fix (dim) || dim < 1)
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130 error ("mean: DIM must be an integer and a valid dimension");
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131 endif
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132 otherwise
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133 print_usage ();
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134 endswitch
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135
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136 switch (nnz (mean_type_mask))
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137 case 0
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138 mean_type = "a";
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139 case 1
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140 mean_type = varargin{mean_type_mask};
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141 otherwise
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142 print_usage ();
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143 endswitch
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144
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145 ## The actual mean computation
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146 n = size (x, dim);
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147 switch (mean_type)
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148 case "a"
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149 y = sum (x, dim) / n;
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150 case "g"
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151 if (all (x(:) >= 0))
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152 y = exp (sum (log (x), dim) ./ n);
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153 else
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154 error ("mean: X must not contain any negative values");
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155 endif
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156 case "h"
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157 y = n ./ sum (1 ./ x, dim);
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158 otherwise
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159 error ("mean: mean type '%s' not recognized", mean_type);
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160 endswitch
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161
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162 ## Convert output as requested
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163 switch (out_type)
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164 case "default"
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165 ## do nothing, the operators already do the right thing
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166 case "double"
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167 y = double (y);
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168 case "native"
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169 if (islogical (x))
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170 ## ignore it, return double anyway
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171 else
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172 y = cast (y, class (x));
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173 endif
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174 otherwise
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175 ## this should have been filtered out during input check, but...
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176 error ("mean: OUTTYPE '%s' not recognized", out_type);
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177 endswitch
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178 endfunction
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179
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180
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181 %!test
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182 %! x = -10:10;
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183 %! y = x';
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184 %! z = [y, y+10];
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185 %! assert (mean (x), 0);
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186 %! assert (mean (y), 0);
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187 %! assert (mean (z), [0, 10]);
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188
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Jordi Gutiérrez Hermoso <jordigh@octave.org>
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189 ## Test small numbers
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190 %!assert (mean (repmat (0.1,1,1000), "g"), 0.1, 20*eps)
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191
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192 %!assert (mean (magic (3), 1), [5, 5, 5])
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193 %!assert (mean (magic (3), 2), [5; 5; 5])
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194 %!assert (mean ([2 8], "g"), 4)
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195 %!assert (mean ([4 4 2], "h"), 3)
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196 %!assert (mean (logical ([1 0 1 1])), 0.75)
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197 %!assert (mean (single ([1 0 1 1])), single (0.75))
21309
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Rik <rik@octave.org>
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198 %!assert (mean ([1 2], 3), [1 2])
11436
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199
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200 ## Test input validation
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201 %!error <Invalid call to mean. Correct usage is> mean ()
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202 %!error <Invalid call to mean. Correct usage is> mean (1, 2, 3, 4)
21309
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203 %!error <X must be a numeric> mean ({1:5})
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204 %!error <Invalid call to mean. Correct usage is> mean (1, 2, 3)
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205 %!error <Invalid call to mean. Correct usage is> mean (1, ones (2,2))
21309
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Rik <rik@octave.org>
parents: 20852
diff changeset
206 %!error <DIM must be an integer> mean (1, 1.5)
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Rik <rik@octave.org>
parents: 20852
diff changeset
207 %!error <DIM must be .* a valid dimension> mean (1, 0)
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Rik <rik@octave.org>
parents: 20852
diff changeset
208 %!error <X must not contain any negative values> mean ([1 -1], "g")
24869
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209 %!error <mean type 'b' not recognized> mean (1, "b")
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210 %!error <Invalid call to mean. Correct usage is> mean (1, 1, "foo")
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diff changeset
211
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212 ## Test outtype option
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213 %!test
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214 %! in = [1 2 3];
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215 %! out = 2;
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216 %! assert (mean (in, "default"), mean (in))
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diff changeset
217 %! assert (mean (in, "default"), out)
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diff changeset
218 %!
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diff changeset
219 %! in = single ([1 2 3]);
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220 %! out = 2;
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diff changeset
221 %! assert (mean (in, "default"), mean (in))
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diff changeset
222 %! assert (mean (in, "default"), single (out))
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diff changeset
223 %! assert (mean (in, "double"), out)
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diff changeset
224 %! assert (mean (in, "native"), single (out))
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diff changeset
225 %!
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diff changeset
226 %! in = uint8 ([1 2 3]);
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diff changeset
227 %! out = 2;
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diff changeset
228 %! assert (mean (in, "default"), mean (in))
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diff changeset
229 %! assert (mean (in, "default"), out)
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Carnë Draug <carandraug@octave.org>
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diff changeset
230 %! assert (mean (in, "double"), out)
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Carnë Draug <carandraug@octave.org>
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diff changeset
231 %! assert (mean (in, "native"), uint8 (out))
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Carnë Draug <carandraug@octave.org>
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diff changeset
232 %!
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Carnë Draug <carandraug@octave.org>
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diff changeset
233 %! in = logical ([1 0 1]);
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Carnë Draug <carandraug@octave.org>
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diff changeset
234 %! out = 2/3;
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Carnë Draug <carandraug@octave.org>
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diff changeset
235 %! assert (mean (in, "default"), mean (in))
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Carnë Draug <carandraug@octave.org>
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diff changeset
236 %! assert (mean (in, "default"), out)
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Carnë Draug <carandraug@octave.org>
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diff changeset
237 %! assert (mean (in, "native"), out) # logical ignores native option