annotate scripts/general/polyarea.m @ 31198:863730dd0f83 stable

nextpow2: Fix for input between 0.5 and 1 (bug #62947). * scripts/general/nextpow2.m: Switch to a naïve implementation using log2 with a single output argument and ceil.
author Markus Mützel <markus.muetzel@gmx.de>
date Wed, 24 Aug 2022 17:15:34 +0200
parents 796f54d4ddbf
children 397d29f7135c
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1 ########################################################################
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2 ##
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3 ## Copyright (C) 1999-2022 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 {} {} polyarea (@var{x}, @var{y})
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28 ## @deftypefnx {} {} polyarea (@var{x}, @var{y}, @var{dim})
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29 ##
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30 ## Determine area of a polygon by triangle method.
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31 ##
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32 ## The variables @var{x} and @var{y} define the vertex pairs, and must
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33 ## therefore have the same shape. They can be either vectors or arrays. If
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34 ## they are arrays then the columns of @var{x} and @var{y} are treated
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35 ## separately and an area returned for each.
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36 ##
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37 ## If the optional @var{dim} argument is given, then @code{polyarea} works
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38 ## along this dimension of the arrays @var{x} and @var{y}.
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39 ##
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40 ## @end deftypefn
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41
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42 ## FIXME: Add moments for centroid, etc.
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43 ##
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44 ## Bugs and limitations:
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45 ## Probably ought to be an optional check to make sure that
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46 ## traversing the vertices doesn't make any sides cross
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47 ## (Is simple closed curve the technical definition of this?).
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48
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49 function a = polyarea (x, y, dim)
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50
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51 if (nargin < 2)
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52 print_usage ();
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53 elseif (! size_equal (x, y))
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54 error ("polyarea: X and Y must have the same shape");
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55 endif
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56
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57 if (nargin == 2)
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58 a = abs (sum (x .* (shift (y, -1) - shift (y, 1)))) / 2;
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59 else
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60 a = abs (sum (x .* (shift (y, -1, dim) - shift (y, 1, dim)), dim)) / 2;
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61 endif
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62
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63 endfunction
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64
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65
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66 %!shared x, y
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67 %! x = [1;1;3;3;1];
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68 %! y = [1;3;3;1;1];
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69 %!assert (polyarea (x,y), 4, eps)
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70 %!assert (polyarea ([x,x],[y,y]), [4,4], eps)
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71 %!assert (polyarea ([x,x],[y,y],1), [4,4], eps)
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72 %!assert (polyarea ([x,x]',[y,y]',2), [4;4], eps)