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1 ## Copyright (C) 1996, 1997 John W. Eaton |
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2 ## |
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3 ## This file is part of Octave. |
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4 ## |
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5 ## Octave is free software; you can redistribute it and/or modify it |
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6 ## under the terms of the GNU General Public License as published by |
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7 ## the Free Software Foundation; either version 2, or (at your option) |
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8 ## any later version. |
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9 ## |
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10 ## Octave is distributed in the hope that it will be useful, but |
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of |
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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13 ## General Public License for more details. |
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14 ## |
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15 ## You should have received a copy of the GNU General Public License |
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16 ## along with Octave; see the file COPYING. If not, write to the Free |
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17 ## Software Foundation, 59 Temple Place - Suite 330, Boston, MA |
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18 ## 02111-1307, USA. |
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19 |
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20 ## -*- texinfo -*- |
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21 ## @deftypefn {Function File} {} median (@var{x}) |
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22 ## If @var{x} is a vector, compute the median value of the elements of |
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23 ## @var{x}. |
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24 ## @iftex |
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25 ## @tex |
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26 ## $$ |
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27 ## {\rm median} (x) = |
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28 ## \cases{x(\lceil N/2\rceil), & $N$ odd;\cr |
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29 ## (x(N/2)+x(N/2+1))/2, & $N$ even.} |
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30 ## $$ |
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31 ## @end tex |
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32 ## @end iftex |
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33 ## @ifinfo |
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34 ## |
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35 ## @example |
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36 ## @group |
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37 ## x(ceil(N/2)), N odd |
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38 ## median(x) = |
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39 ## (x(N/2) + x((N/2)+1))/2, N even |
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40 ## @end group |
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41 ## @end example |
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42 ## @end ifinfo |
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43 ## If @var{x} is a matrix, compute the median value for each |
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44 ## column and return them in a row vector. |
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45 ## @end deftypefn |
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46 ## @seealso{std and mean} |
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47 |
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48 ## Author: jwe |
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49 |
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50 function retval = median (a) |
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51 |
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52 if (nargin != 1) |
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53 usage ("median (a)"); |
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54 endif |
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55 |
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56 [nr, nc] = size (a); |
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57 s = sort (a); |
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58 if (nr == 1 && nc > 0) |
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59 if (rem (nc, 2) == 0) |
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60 i = nc/2; |
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61 retval = (s (i) + s (i+1)) / 2; |
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62 else |
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63 i = ceil (nc/2); |
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64 retval = s (i); |
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65 endif |
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66 elseif (nr > 0 && nc > 0) |
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67 if (rem (nr, 2) == 0) |
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68 i = nr/2; |
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69 retval = (s (i,:) + s (i+1,:)) / 2; |
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70 else |
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71 i = ceil (nr/2); |
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72 retval = s (i,:); |
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73 endif |
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74 else |
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75 error ("median: invalid matrix argument"); |
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76 endif |
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77 |
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78 endfunction |
