annotate scripts/statistics/base/center.m @ 20830:b65888ec820e draft default tip gccjit

dmalcom gcc jit import
author Stefan Mahr <dac922@gmx.de>
date Fri, 27 Feb 2015 16:59:36 +0100
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1 ## Copyright (C) 1995-2015 Kurt Hornik
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2 ## Copyright (C) 2009 VZLU Prague
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3 ##
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4 ## This file is part of Octave.
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5 ##
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6 ## Octave is free software; you can redistribute it and/or modify it
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7 ## under the terms of the GNU General Public License as published by
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8 ## the Free Software Foundation; either version 3 of the License, or (at
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9 ## your option) any later version.
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10 ##
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11 ## Octave is distributed in the hope that it will be useful, but
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12 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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13 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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14 ## General Public License for more details.
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15 ##
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16 ## You should have received a copy of the GNU General Public License
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17 ## along with Octave; see the file COPYING. If not, see
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18 ## <http://www.gnu.org/licenses/>.
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19
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20 ## -*- texinfo -*-
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21 ## @deftypefn {Function File} {} center (@var{x})
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22 ## @deftypefnx {Function File} {} center (@var{x}, @var{dim})
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23 ## Center data by subtracting its mean.
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24 ##
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25 ## If @var{x} is a vector, subtract its mean.
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26 ##
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27 ## If @var{x} is a matrix, do the above for each column.
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28 ##
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29 ## If the optional argument @var{dim} is given, operate along this dimension.
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30 ##
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31 ## Programming Note: @code{center} has obvious application for normalizing
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32 ## statistical data. It is also useful for improving the precision of general
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33 ## numerical calculations. Whenever there is a large value that is common
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34 ## to a batch of data, the mean can be subtracted off, the calculation
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35 ## performed, and then the mean added back to obtain the final answer.
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36 ## @seealso{zscore}
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37 ## @end deftypefn
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38
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39 ## Author: KH <Kurt.Hornik@wu-wien.ac.at>
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40 ## Description: Center by subtracting means
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41
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42 function retval = center (x, dim)
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43
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44 if (nargin != 1 && nargin != 2)
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45 print_usage ();
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46 endif
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47
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48 if (! (isnumeric (x) || islogical (x)))
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49 error ("center: X must be a numeric vector or matrix");
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50 endif
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51
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52 if (isinteger (x))
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53 x = double (x);
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54 endif
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55
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56 nd = ndims (x);
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57 sz = size (x);
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58 if (nargin != 2)
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59 ## Find the first non-singleton dimension.
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60 (dim = find (sz > 1, 1)) || (dim = 1);
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61 else
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62 if (!(isscalar (dim) && dim == fix (dim))
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63 || !(1 <= dim && dim <= nd))
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64 error ("center: DIM must be an integer and a valid dimension");
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65 endif
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66 endif
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67
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68 n = sz(dim);
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69
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70 if (n == 0)
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71 retval = x;
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72 else
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73 retval = x - mean (x, dim);
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74 endif
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75
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76 endfunction
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77
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78
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79 %!assert (center ([1,2,3]), [-1,0,1])
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80 %!assert (center (single ([1,2,3])), single ([-1,0,1]))
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81 %!assert (center (int8 ([1,2,3])), [-1,0,1])
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82 %!assert (center (logical ([1, 0, 0, 1])), [0.5, -0.5, -0.5, 0.5])
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83 %!assert (center (ones (3,2,0,2)), zeros (3,2,0,2))
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84 %!assert (center (ones (3,2,0,2, "single")), zeros (3,2,0,2, "single"))
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85 %!assert (center (magic (3)), [3,-4,1;-2,0,2;-1,4,-3])
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86 %!assert (center ([1 2 3; 6 5 4], 2), [-1 0 1; 1 0 -1])
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87
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88 ## Test input validation
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89 %!error center ()
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90 %!error center (1, 2, 3)
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91 %!error center (1, ones (2,2))
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92 %!error center (1, 1.5)
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93 %!error center (1, 0)
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94 %!error center (1, 3)
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95