Mercurial > octave
annotate scripts/statistics/base/center.m @ 23220:092078913d54
maint: Merge stable to default.
author | John W. Eaton <jwe@octave.org> |
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date | Wed, 22 Feb 2017 12:58:07 -0500 |
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1 ## Copyright (C) 1995-2017 Kurt Hornik |
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2 ## Copyright (C) 2009 VZLU Prague |
3426 | 3 ## |
3922 | 4 ## This file is part of Octave. |
5 ## | |
6 ## Octave is free software; you can redistribute it and/or modify it | |
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 |
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9 ## (at your option) any later version. |
3426 | 10 ## |
3922 | 11 ## Octave is distributed in the hope that it will be useful, but |
3200 | 12 ## WITHOUT ANY WARRANTY; without even the implied warranty of |
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13 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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14 ## GNU General Public License for more details. |
3426 | 15 ## |
3200 | 16 ## You should have received a copy of the GNU General Public License |
7016 | 17 ## along with Octave; see the file COPYING. If not, see |
18 ## <http://www.gnu.org/licenses/>. | |
3200 | 19 |
3453 | 20 ## -*- texinfo -*- |
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21 ## @deftypefn {} {} center (@var{x}) |
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22 ## @deftypefnx {} {} center (@var{x}, @var{dim}) |
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23 ## Center data by subtracting its mean. |
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24 ## |
3453 | 25 ## If @var{x} is a vector, subtract its mean. |
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26 ## |
3453 | 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} |
3453 | 37 ## @end deftypefn |
3200 | 38 |
5428 | 39 ## Author: KH <Kurt.Hornik@wu-wien.ac.at> |
3456 | 40 ## Description: Center by subtracting means |
3426 | 41 |
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42 function retval = center (x, dim) |
3426 | 43 |
4844 | 44 if (nargin != 1 && nargin != 2) |
6046 | 45 print_usage (); |
3200 | 46 endif |
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) && dim > 0)) |
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63 error ("center: DIM must be an integer and a valid dimension"); |
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64 endif |
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65 endif |
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66 |
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67 n = size (x, dim); |
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68 |
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69 if (n == 0) |
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70 retval = x; |
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71 else |
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72 retval = x - mean (x, dim); |
3200 | 73 endif |
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74 |
4844 | 75 endfunction |
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76 |
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77 |
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78 %!assert (center ([1,2,3]), [-1,0,1]) |
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79 %!assert (center (single ([1,2,3])), single ([-1,0,1])) |
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80 %!assert (center (int8 ([1,2,3])), [-1,0,1]) |
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81 %!assert (center (logical ([1, 0, 0, 1])), [0.5, -0.5, -0.5, 0.5]) |
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82 %!assert (center (ones (3,2,0,2)), zeros (3,2,0,2)) |
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83 %!assert (center (ones (3,2,0,2, "single")), zeros (3,2,0,2, "single")) |
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84 %!assert (center (magic (3)), [3,-4,1;-2,0,2;-1,4,-3]) |
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85 %!assert (center ([1 2 3; 6 5 4], 2), [-1 0 1; 1 0 -1]) |
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86 %!assert (center (1, 3), 0) |
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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 <DIM must be an integer> center (1, ones (2,2)) |
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92 %!error <DIM must be an integer> center (1, 1.5) |
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93 %!error <DIM must be .* a valid dimension> center (1, 0) |