X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?a=blobdiff_plain;f=octave_packages%2Fm%2Fstatistics%2Fbase%2Fmean.m;fp=octave_packages%2Fm%2Fstatistics%2Fbase%2Fmean.m;h=d8eced0fc9532d5340f1eeefbd1c342085fbc658;hb=1c0469ada9531828709108a4882a751d2816994a;hp=0000000000000000000000000000000000000000;hpb=63de9f36673d49121015e3695f2c336ea92bc278;p=CreaPhase.git diff --git a/octave_packages/m/statistics/base/mean.m b/octave_packages/m/statistics/base/mean.m new file mode 100644 index 0000000..d8eced0 --- /dev/null +++ b/octave_packages/m/statistics/base/mean.m @@ -0,0 +1,151 @@ +## Copyright (C) 1995-2012 Kurt Hornik +## +## This file is part of Octave. +## +## Octave is free software; you can redistribute it and/or modify it +## under the terms of the GNU General Public License as published by +## the Free Software Foundation; either version 3 of the License, or (at +## your option) any later version. +## +## Octave is distributed in the hope that it will be useful, but +## WITHOUT ANY WARRANTY; without even the implied warranty of +## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +## General Public License for more details. +## +## You should have received a copy of the GNU General Public License +## along with Octave; see the file COPYING. If not, see +## . + +## -*- texinfo -*- +## @deftypefn {Function File} {} mean (@var{x}) +## @deftypefnx {Function File} {} mean (@var{x}, @var{dim}) +## @deftypefnx {Function File} {} mean (@var{x}, @var{opt}) +## @deftypefnx {Function File} {} mean (@var{x}, @var{dim}, @var{opt}) +## Compute the mean of the elements of the vector @var{x}. +## @tex +## $$ {\rm mean}(x) = \bar{x} = {1\over N} \sum_{i=1}^N x_i $$ +## @end tex +## @ifnottex +## +## @example +## mean (x) = SUM_i x(i) / N +## @end example +## +## @end ifnottex +## If @var{x} is a matrix, compute the mean for each column and return them +## in a row vector. +## +## The optional argument @var{opt} selects the type of mean to compute. +## The following options are recognized: +## +## @table @asis +## @item "a" +## Compute the (ordinary) arithmetic mean. [default] +## +## @item "g" +## Compute the geometric mean. +## +## @item "h" +## Compute the harmonic mean. +## @end table +## +## If the optional argument @var{dim} is given, operate along this dimension. +## +## Both @var{dim} and @var{opt} are optional. If both are supplied, +## either may appear first. +## @seealso{median, mode} +## @end deftypefn + +## Author: KH +## Description: Compute arithmetic, geometric, and harmonic mean + +function y = mean (x, opt1, opt2) + + if (nargin < 1 || nargin > 3) + print_usage (); + endif + + if (! (isnumeric (x) || islogical (x))) + error ("mean: X must be a numeric vector or matrix"); + endif + + need_dim = false; + + if (nargin == 1) + opt = "a"; + need_dim = true; + elseif (nargin == 2) + if (ischar (opt1)) + opt = opt1; + need_dim = true; + else + dim = opt1; + opt = "a"; + endif + elseif (nargin == 3) + if (ischar (opt1)) + opt = opt1; + dim = opt2; + elseif (ischar (opt2)) + opt = opt2; + dim = opt1; + else + error ("mean: OPT must be a string"); + endif + else + print_usage (); + endif + + nd = ndims (x); + sz = size (x); + if (need_dim) + ## Find the first non-singleton dimension. + (dim = find (sz > 1, 1)) || (dim = 1); + else + if (!(isscalar (dim) && dim == fix (dim)) + || !(1 <= dim && dim <= nd)) + error ("mean: DIM must be an integer and a valid dimension"); + endif + endif + + n = sz(dim); + + if (strcmp (opt, "a")) + y = sum (x, dim) / n; + elseif (strcmp (opt, "g")) + y = prod (x, dim) .^ (1/n); + elseif (strcmp (opt, "h")) + y = n ./ sum (1 ./ x, dim); + else + error ("mean: option `%s' not recognized", opt); + endif + +endfunction + + +%!test +%! x = -10:10; +%! y = x'; +%! z = [y, y+10]; +%! assert(mean (x) == 0); +%! assert(mean (y) == 0); +%! assert(mean (z) == [0, 10]); + +%!assert(mean (magic(3), 1), [5, 5, 5]); +%!assert(mean (magic(3), 2), [5; 5; 5]); +%!assert(mean ([2 8], 'g'), 4); +%!assert(mean ([4 4 2], 'h'), 3); +%!assert(mean (logical ([1 0 1 1])), 0.75); +%!assert(mean (single ([1 0 1 1])), single (0.75)); + +%% Test input validation +%!error mean (); +%!error mean (1, 2, 3, 4); +%!error mean ({1:5}); +%!error mean (1, 2, 3); +%!error mean (1, ones(2,2)); +%!error mean (1, 1.5); +%!error mean (1, 0); +%!error mean (1, 3); +%!error mean (1, 'b'); +