annotate scripts/statistics/center.m @ 33623:4517f929c59d bytecode-interpreter tip

maint: Merge default to bytecode-interpreter
author Arun Giridhar <arungiridhar@gmail.com>
date Fri, 24 May 2024 16:22:41 -0400
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1 ########################################################################
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2 ##
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3 ## Copyright (C) 1995-2024 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{y} =} center (@var{x})
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28 ## @deftypefnx {} {@var{y} =} center (@var{x}, @var{dim})
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29 ## Center data by subtracting its mean.
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30 ##
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31 ## If @var{x} is a vector, subtract its mean.
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32 ##
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33 ## If @var{x} is a matrix, do the above for each column.
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34 ##
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35 ## If the optional argument @var{dim} is given, operate along this dimension.
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36 ##
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37 ## Programming Note: @code{center} has obvious application for normalizing
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38 ## statistical data. It is also useful for improving the precision of general
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39 ## numerical calculations. Whenever there is a large value that is common
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40 ## to a batch of data, the mean can be subtracted off, the calculation
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41 ## performed, and then the mean added back to obtain the final answer.
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42 ## @seealso{zscore}
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43 ## @end deftypefn
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44
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45 function y = center (x, dim)
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46
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47 if (nargin < 1)
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48 print_usage ();
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49 endif
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50
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51 if (! (isnumeric (x) || islogical (x)))
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52 error ("center: X must be a numeric vector or matrix");
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53 endif
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54
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55 if (isinteger (x))
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56 x = double (x);
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57 endif
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58
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59 nd = ndims (x);
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60 sz = size (x);
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61 if (nargin != 2)
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62 ## Find the first non-singleton dimension.
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63 (dim = find (sz > 1, 1)) || (dim = 1);
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64 else
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65 if (! (isscalar (dim) && dim == fix (dim) && dim > 0))
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66 error ("center: DIM must be an integer and a valid dimension");
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67 endif
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68 endif
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69
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70 n = size (x, dim);
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71
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72 if (n == 0)
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73 y = x;
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74 else
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75 ## FIXME: Use bsxfun, rather than broadcasting, until broadcasting
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76 ## supports diagonal and sparse matrices (Bugs #41441, #35787).
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77 y = bsxfun (@minus, x, mean (x, dim));
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78 ## y = x - mean (x, dim); # automatic broadcasting
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79 endif
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80
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81 endfunction
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82
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83
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84 %!assert (center ([1,2,3]), [-1,0,1])
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85 %!assert (center (single ([1,2,3])), single ([-1,0,1]))
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86 %!assert (center (int8 ([1,2,3])), [-1,0,1])
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87 %!assert (center (logical ([1, 0, 0, 1])), [0.5, -0.5, -0.5, 0.5])
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88 %!assert (center (ones (3,2,0,2)), zeros (3,2,0,2))
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89 %!assert (center (ones (3,2,0,2, "single")), zeros (3,2,0,2, "single"))
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90 %!assert (center (magic (3)), [3,-4,1;-2,0,2;-1,4,-3])
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91 %!assert (center ([1 2 3; 6 5 4], 2), [-1 0 1; 1 0 -1])
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92 %!assert (center (1, 3), 0)
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93
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94 ## Test input validation
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95 %!error <Invalid call> center ()
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96 %!error <DIM must be an integer> center (1, ones (2,2))
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97 %!error <DIM must be an integer> center (1, 1.5)
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98 %!error <DIM must be .* a valid dimension> center (1, 0)