annotate scripts/statistics/mean.m @ 24547:fdc9ce839afd

maint: Remove statistics functions which have been shifted to Octave Forge package. * NEWS: Announce list of functions removed from core. * scripts/statistics/center.m, scripts/statistics/corr.m, scripts/statistics/corrcoef.m, scripts/statistics/cov.m, scripts/statistics/discrete_cdf.m, scripts/statistics/discrete_inv.m, scripts/statistics/discrete_pdf.m, scripts/statistics/discrete_rnd.m, scripts/statistics/empirical_cdf.m, scripts/statistics/empirical_inv.m, scripts/statistics/empirical_pdf.m, scripts/statistics/empirical_rnd.m, scripts/statistics/histc.m, scripts/statistics/iqr.m, scripts/statistics/kendall.m, scripts/statistics/kurtosis.m, scripts/statistics/mean.m, scripts/statistics/meansq.m, scripts/statistics/median.m, scripts/statistics/mode.m, scripts/statistics/module.mk, scripts/statistics/moment.m, scripts/statistics/prctile.m, scripts/statistics/quantile.m, scripts/statistics/range.m, scripts/statistics/ranks.m, scripts/statistics/run_count.m, scripts/statistics/runlength.m, scripts/statistics/skewness.m, scripts/statistics/spearman.m, scripts/statistics/statistics.m, scripts/statistics/std.m, scripts/statistics/var.m, scripts/statistics/zscore.m: Moved from scripts/statistics/base. * scripts/module.mk: Update build system. Remove @include for directories base/, tests/, models/, distributions/. * octave.texi: Update @detailmenu. * stats.txi: Rewrite statistics chapter with condensed list of functions. * scripts/statistics/base/module.mk, scripts/statistics/distributions/module.mk, scripts/statistics/models/module.mk scripts/statistics/tests/module.mk: Removed from build system. * scripts/statistics/base/cloglog.m, scripts/statistics/base/crosstab.m, scripts/statistics/base/logit.m, scripts/statistics/base/moment.m, scripts/statistics/base/ppplot.m, scripts/statistics/base/probit.m, scripts/statistics/base/qqplot.m, scripts/statistics/distributions/betacdf.m, scripts/statistics/distributions/betainv.m, scripts/statistics/distributions/betapdf.m, scripts/statistics/distributions/betarnd.m, scripts/statistics/distributions/binocdf.m, scripts/statistics/distributions/binoinv.m, scripts/statistics/distributions/binopdf.m, scripts/statistics/distributions/binornd.m, scripts/statistics/distributions/cauchy_cdf.m, scripts/statistics/distributions/cauchy_inv.m, scripts/statistics/distributions/cauchy_pdf.m, scripts/statistics/distributions/cauchy_rnd.m, scripts/statistics/distributions/chi2cdf.m, scripts/statistics/distributions/chi2inv.m, scripts/statistics/distributions/chi2pdf.m, scripts/statistics/distributions/chi2rnd.m, scripts/statistics/distributions/discrete_cdf.m, scripts/statistics/distributions/discrete_inv.m, scripts/statistics/distributions/discrete_pdf.m, scripts/statistics/distributions/discrete_rnd.m, scripts/statistics/distributions/empirical_cdf.m, scripts/statistics/distributions/empirical_inv.m, scripts/statistics/distributions/empirical_pdf.m, scripts/statistics/distributions/empirical_rnd.m, scripts/statistics/distributions/expcdf.m, scripts/statistics/distributions/expinv.m, scripts/statistics/distributions/exppdf.m, scripts/statistics/distributions/exprnd.m, scripts/statistics/distributions/fcdf.m, scripts/statistics/distributions/finv.m, scripts/statistics/distributions/fpdf.m, scripts/statistics/distributions/frnd.m, scripts/statistics/distributions/gamcdf.m, scripts/statistics/distributions/gaminv.m, scripts/statistics/distributions/gampdf.m, scripts/statistics/distributions/gamrnd.m, scripts/statistics/distributions/geocdf.m, scripts/statistics/distributions/geoinv.m, scripts/statistics/distributions/geopdf.m, scripts/statistics/distributions/geornd.m, scripts/statistics/distributions/hygecdf.m, scripts/statistics/distributions/hygeinv.m, scripts/statistics/distributions/hygepdf.m, scripts/statistics/distributions/hygernd.m, scripts/statistics/distributions/kolmogorov_smirnov_cdf.m, scripts/statistics/distributions/laplace_cdf.m, scripts/statistics/distributions/laplace_inv.m, scripts/statistics/distributions/laplace_pdf.m, scripts/statistics/distributions/laplace_rnd.m, scripts/statistics/distributions/logistic_cdf.m, scripts/statistics/distributions/logistic_inv.m, scripts/statistics/distributions/logistic_pdf.m, scripts/statistics/distributions/logistic_rnd.m, scripts/statistics/distributions/logncdf.m, scripts/statistics/distributions/logninv.m, scripts/statistics/distributions/lognpdf.m, scripts/statistics/distributions/lognrnd.m, scripts/statistics/distributions/nbincdf.m, scripts/statistics/distributions/nbininv.m, scripts/statistics/distributions/nbinpdf.m, scripts/statistics/distributions/nbinrnd.m, scripts/statistics/distributions/normcdf.m, scripts/statistics/distributions/norminv.m, scripts/statistics/distributions/normpdf.m, scripts/statistics/distributions/normrnd.m, scripts/statistics/distributions/poisscdf.m, scripts/statistics/distributions/poissinv.m, scripts/statistics/distributions/poisspdf.m, scripts/statistics/distributions/poissrnd.m, scripts/statistics/distributions/stdnormal_cdf.m, scripts/statistics/distributions/stdnormal_inv.m, scripts/statistics/distributions/stdnormal_pdf.m, scripts/statistics/distributions/stdnormal_rnd.m, scripts/statistics/distributions/tcdf.m, scripts/statistics/distributions/tinv.m, scripts/statistics/distributions/tpdf.m, scripts/statistics/distributions/trnd.m, scripts/statistics/distributions/unidcdf.m, scripts/statistics/distributions/unidinv.m, scripts/statistics/distributions/unidpdf.m, scripts/statistics/distributions/unidrnd.m, scripts/statistics/distributions/unifcdf.m, scripts/statistics/distributions/unifinv.m, scripts/statistics/distributions/unifpdf.m, scripts/statistics/distributions/unifrnd.m, scripts/statistics/distributions/wblcdf.m, scripts/statistics/distributions/wblinv.m, scripts/statistics/distributions/wblpdf.m, scripts/statistics/distributions/wblrnd.m, scripts/statistics/distributions/wienrnd.m, scripts/statistics/models/logistic_regression.m, scripts/statistics/models/private/logistic_regression_derivatives.m, scripts/statistics/models/private/logistic_regression_likelihood.m, scripts/statistics/tests/anova.m, scripts/statistics/tests/bartlett_test.m, scripts/statistics/tests/chisquare_test_homogeneity.m, scripts/statistics/tests/chisquare_test_independence.m, scripts/statistics/tests/cor_test.m, scripts/statistics/tests/f_test_regression.m, scripts/statistics/tests/hotelling_test.m, scripts/statistics/tests/hotelling_test_2.m, scripts/statistics/tests/kolmogorov_smirnov_test.m, scripts/statistics/tests/kolmogorov_smirnov_test_2.m, scripts/statistics/tests/kruskal_wallis_test.m, scripts/statistics/tests/manova.m, scripts/statistics/tests/mcnemar_test.m, scripts/statistics/tests/prop_test_2.m, scripts/statistics/tests/run_test.m, scripts/statistics/tests/sign_test.m, scripts/statistics/tests/t_test.m, scripts/statistics/tests/t_test_2.m, scripts/statistics/tests/t_test_regression.m, scripts/statistics/tests/u_test.m, scripts/statistics/tests/var_test.m, scripts/statistics/tests/welch_test.m, scripts/statistics/tests/wilcoxon_test.m, scripts/statistics/tests/z_test.m, scripts/statistics/tests/z_test_2.m: Removed functions.
author Rik <rik@octave.org>
date Sun, 07 Jan 2018 17:13:23 -0800
parents scripts/statistics/base/mean.m@194eb4bd202b
children 170e8625562a
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rev   line source
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1 ## Copyright (C) 1995-2017 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 ## Compute the mean of the elements of the vector @var{x}.
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25 ##
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26 ## The mean is defined as
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27 ##
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28 ## @tex
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29 ## $$ {\rm mean}(x) = \bar{x} = {1\over N} \sum_{i=1}^N x_i $$
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30 ## where $N$ is the number of elements of @var{x}.
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31 ##
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32 ## @end tex
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33 ## @ifnottex
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34 ##
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35 ## @example
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36 ## mean (@var{x}) = SUM_i @var{x}(i) / N
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37 ## @end example
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38 ##
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39 ## where @math{N} is the length of the @var{x} vector.
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40 ##
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41 ## @end ifnottex
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42 ## If @var{x} is a matrix, compute the mean for each column and return them
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43 ## in a row vector.
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44 ##
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45 ## If the optional argument @var{dim} is given, operate along this dimension.
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46 ##
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47 ## The optional argument @var{opt} selects the type of mean to compute.
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48 ## The following options are recognized:
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49 ##
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50 ## @table @asis
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51 ## @item @qcode{"a"}
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52 ## Compute the (ordinary) arithmetic mean. [default]
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53 ##
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54 ## @item @qcode{"g"}
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55 ## Compute the geometric mean.
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56 ##
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57 ## @item @qcode{"h"}
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58 ## Compute the harmonic mean.
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59 ## @end table
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60 ##
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61 ## Both @var{dim} and @var{opt} are optional. If both are supplied, either
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62 ## may appear first.
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63 ## @seealso{median, mode}
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64 ## @end deftypefn
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65
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66 ## Author: KH <Kurt.Hornik@wu-wien.ac.at>
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67 ## Description: Compute arithmetic, geometric, and harmonic mean
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68
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69 function y = mean (x, opt1, opt2)
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70
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71 if (nargin < 1 || nargin > 3)
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72 print_usage ();
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73 endif
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74
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75 if (! (isnumeric (x) || islogical (x)))
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76 error ("mean: X must be a numeric vector or matrix");
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77 endif
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78
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79 need_dim = false;
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80
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81 if (nargin == 1)
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82 opt = "a";
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83 need_dim = true;
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84 elseif (nargin == 2)
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85 if (ischar (opt1))
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86 opt = opt1;
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87 need_dim = true;
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88 else
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89 dim = opt1;
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90 opt = "a";
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91 endif
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92 elseif (nargin == 3)
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93 if (ischar (opt1))
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94 opt = opt1;
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95 dim = opt2;
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96 elseif (ischar (opt2))
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97 opt = opt2;
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98 dim = opt1;
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99 else
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100 error ("mean: OPT must be a string");
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101 endif
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102 else
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103 print_usage ();
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104 endif
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105
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106 nd = ndims (x);
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107 sz = size (x);
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108 if (need_dim)
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109 ## Find the first non-singleton dimension.
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110 (dim = find (sz > 1, 1)) || (dim = 1);
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111 else
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112 if (! (isscalar (dim) && dim == fix (dim) && dim > 0))
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113 error ("mean: DIM must be an integer and a valid dimension");
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114 endif
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115 endif
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116
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117 n = size (x, dim);
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118
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119 if (strcmp (opt, "a"))
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120 y = sum (x, dim) / n;
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121 elseif (strcmp (opt, "g"))
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122 if (all (x(:) >= 0))
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123 y = exp (sum (log (x), dim) ./ n);
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124 else
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125 error ("mean: X must not contain any negative values");
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126 endif
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127 elseif (strcmp (opt, "h"))
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128 y = n ./ sum (1 ./ x, dim);
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129 else
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130 error ("mean: option '%s' not recognized", opt);
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131 endif
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132
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133 endfunction
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134
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135
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136 %!test
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137 %! x = -10:10;
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138 %! y = x';
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139 %! z = [y, y+10];
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140 %! assert (mean (x), 0);
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141 %! assert (mean (y), 0);
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142 %! assert (mean (z), [0, 10]);
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143
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144 ## Test small numbers
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145 %!assert (mean (repmat (0.1,1,1000), "g"), 0.1, 20*eps)
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146
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147 %!assert (mean (magic (3), 1), [5, 5, 5])
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148 %!assert (mean (magic (3), 2), [5; 5; 5])
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149 %!assert (mean ([2 8], "g"), 4)
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150 %!assert (mean ([4 4 2], "h"), 3)
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151 %!assert (mean (logical ([1 0 1 1])), 0.75)
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152 %!assert (mean (single ([1 0 1 1])), single (0.75))
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153 %!assert (mean ([1 2], 3), [1 2])
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154
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155 ## Test input validation
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156 %!error mean ()
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157 %!error mean (1, 2, 3, 4)
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158 %!error <X must be a numeric> mean ({1:5})
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159 %!error <OPT must be a string> mean (1, 2, 3)
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160 %!error <DIM must be an integer> mean (1, ones (2,2))
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161 %!error <DIM must be an integer> mean (1, 1.5)
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162 %!error <DIM must be .* a valid dimension> mean (1, 0)
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163 %!error <X must not contain any negative values> mean ([1 -1], "g")
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164 %!error <option 'b' not recognized> mean (1, "b")