Mercurial > octave
annotate scripts/statistics/center.m @ 33623:4517f929c59d bytecode-interpreter tip
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author | Arun Giridhar <arungiridhar@gmail.com> |
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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/>. |
3426 | 7 ## |
3922 | 8 ## This file is part of Octave. |
9 ## | |
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10 ## Octave is free software: you can redistribute it and/or modify it |
3922 | 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. |
3426 | 14 ## |
3922 | 15 ## Octave is distributed in the hope that it will be useful, but |
3200 | 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. |
3426 | 19 ## |
3200 | 20 ## You should have received a copy of the GNU General Public License |
7016 | 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 ######################################################################## |
3200 | 25 |
3453 | 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 ## |
3453 | 31 ## If @var{x} is a vector, subtract its mean. |
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32 ## |
3453 | 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} |
3453 | 43 ## @end deftypefn |
3200 | 44 |
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45 function y = center (x, dim) |
3426 | 46 |
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47 if (nargin < 1) |
6046 | 48 print_usage (); |
3200 | 49 endif |
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 |
3200 | 79 endif |
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80 |
4844 | 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) |