annotate scripts/general/polyarea.m @ 20158:7503499a252b stable

doc: Update docstrings to have one sentence summary as first line. Update scripts in audio, elfun, general, geometry, and image directories. * scripts/audio/@audioplayer/__get_properties__.m, scripts/audio/@audioplayer/audioplayer.m, scripts/audio/@audioplayer/get.m, scripts/audio/@audioplayer/isplaying.m, scripts/audio/@audioplayer/play.m, scripts/audio/@audioplayer/playblocking.m, scripts/audio/@audioplayer/set.m, scripts/audio/@audioplayer/subsasgn.m, scripts/audio/@audioplayer/subsref.m, scripts/audio/@audiorecorder/audiorecorder.m, scripts/audio/@audiorecorder/get.m, scripts/audio/@audiorecorder/getaudiodata.m, scripts/audio/@audiorecorder/getplayer.m, scripts/audio/@audiorecorder/isrecording.m, scripts/audio/@audiorecorder/play.m, scripts/audio/@audiorecorder/record.m, scripts/audio/@audiorecorder/recordblocking.m, scripts/audio/@audiorecorder/set.m, scripts/audio/@audiorecorder/stop.m, scripts/audio/@audiorecorder/subsasgn.m, scripts/audio/@audiorecorder/subsref.m, scripts/audio/lin2mu.m, scripts/audio/mu2lin.m, scripts/audio/record.m, scripts/audio/sound.m, scripts/audio/soundsc.m, scripts/audio/wavread.m, scripts/audio/wavwrite.m, scripts/elfun/cosd.m, scripts/elfun/sind.m, scripts/elfun/tand.m, scripts/general/accumarray.m, scripts/general/accumdim.m, scripts/general/bitcmp.m, scripts/general/bitget.m, scripts/general/bitset.m, scripts/general/blkdiag.m, scripts/general/cart2pol.m, scripts/general/cart2sph.m, scripts/general/cell2mat.m, scripts/general/celldisp.m, scripts/general/chop.m, scripts/general/circshift.m, scripts/general/common_size.m, scripts/general/cplxpair.m, scripts/general/cumtrapz.m, scripts/general/dblquad.m, scripts/general/deal.m, scripts/general/del2.m, scripts/general/display.m, scripts/general/divergence.m, scripts/general/fieldnames.m, scripts/general/flip.m, scripts/general/flipdim.m, scripts/general/fliplr.m, scripts/general/flipud.m, scripts/general/gradient.m, scripts/general/interp3.m, scripts/general/interpft.m, scripts/general/interpn.m, scripts/general/loadobj.m, scripts/general/logspace.m, scripts/general/methods.m, scripts/general/nargchk.m, scripts/general/narginchk.m, scripts/general/nargoutchk.m, scripts/general/nextpow2.m, scripts/general/nthargout.m, scripts/general/num2str.m, scripts/general/pol2cart.m, scripts/general/polyarea.m, scripts/general/postpad.m, scripts/general/prepad.m, scripts/general/profile.m, scripts/general/quadgk.m, scripts/general/quadl.m, scripts/general/quadv.m, scripts/general/randi.m, scripts/general/rat.m, scripts/general/repmat.m, scripts/general/rot90.m, scripts/general/rotdim.m, scripts/general/saveobj.m, scripts/general/shift.m, scripts/general/shiftdim.m, scripts/general/sortrows.m, scripts/general/sph2cart.m, scripts/general/structfun.m, scripts/general/subsindex.m, scripts/general/trapz.m, scripts/general/triplequad.m, scripts/geometry/delaunayn.m, scripts/geometry/dsearch.m, scripts/geometry/dsearchn.m, scripts/geometry/griddata.m, scripts/geometry/griddata3.m, scripts/geometry/griddatan.m, scripts/geometry/inpolygon.m, scripts/geometry/rectint.m, scripts/geometry/tsearchn.m, scripts/geometry/voronoi.m, scripts/geometry/voronoin.m, scripts/help/__unimplemented__.m, scripts/help/doc.m, scripts/help/doc_cache_create.m, scripts/help/get_first_help_sentence.m, scripts/help/help.m, scripts/help/lookfor.m, scripts/help/print_usage.m, scripts/help/type.m, scripts/help/which.m, scripts/image/autumn.m, scripts/image/bone.m, scripts/image/brighten.m, scripts/image/cmpermute.m, scripts/image/colorcube.m, scripts/image/contrast.m, scripts/image/cool.m, scripts/image/copper.m, scripts/image/cubehelix.m, scripts/image/flag.m, scripts/image/gmap40.m, scripts/image/gray.m, scripts/image/gray2ind.m, scripts/image/hot.m, scripts/image/hsv.m, scripts/image/image.m, scripts/image/imagesc.m, scripts/image/imfinfo.m, scripts/image/imformats.m, scripts/image/imread.m, scripts/image/imshow.m, scripts/image/imwrite.m, scripts/image/iscolormap.m, scripts/image/jet.m, scripts/image/lines.m, scripts/image/ntsc2rgb.m, scripts/image/ocean.m, scripts/image/pink.m, scripts/image/prism.m, scripts/image/rainbow.m, scripts/image/rgb2ntsc.m, scripts/image/spinmap.m, scripts/image/spring.m, scripts/image/summer.m, scripts/image/white.m, scripts/image/winter.m: Update docstrings to have one sentence summary as first line. Re-structure to have line lengths <= 80 chars.
author Rik <rik@octave.org>
date Sun, 03 May 2015 09:36:20 -0700
parents 4197fc428c7d
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
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4197fc428c7d maint: Update copyright notices for 2015.
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1 ## Copyright (C) 1999-2015 David M. Doolin
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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 3 of the License, or (at
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8 ## your option) 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, see
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17 ## <http://www.gnu.org/licenses/>.
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18
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19 ## -*- texinfo -*-
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20 ## @deftypefn {Function File} {} polyarea (@var{x}, @var{y})
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21 ## @deftypefnx {Function File} {} polyarea (@var{x}, @var{y}, @var{dim})
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22 ##
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23 ## Determine area of a polygon by triangle method.
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24 ##
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25 ## The variables @var{x} and @var{y} define the vertex pairs, and must
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26 ## therefore have the same shape. They can be either vectors or arrays. If
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27 ## they are arrays then the columns of @var{x} and @var{y} are treated
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28 ## separately and an area returned for each.
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29 ##
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30 ## If the optional @var{dim} argument is given, then @code{polyarea} works
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31 ## along this dimension of the arrays @var{x} and @var{y}.
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32 ##
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33 ## @end deftypefn
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34
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35 ## todo: Add moments for centroid, etc.
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36 ##
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37 ## bugs and limitations:
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38 ## Probably ought to be an optional check to make sure that
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39 ## traversing the vertices doesn't make any sides cross
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40 ## (Is simple closed curve the technical definition of this?).
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41
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42 ## Author: David M. Doolin <doolin@ce.berkeley.edu>
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43 ## Date: 1999-04-14
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44 ## Modified-by:
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45 ## 2000-01-15 Paul Kienzle <pkienzle@kienzle.powernet.co.uk>
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46 ## * use matlab compatible interface
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47 ## * return absolute value of area so traversal order doesn't matter
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48 ## 2005-10-13 Torsten Finke
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49 ## * optimization saving half the sums and multiplies
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50
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51 function a = polyarea (x, y, dim)
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52 if (nargin != 2 && nargin != 3)
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53 print_usage ();
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54 elseif (size_equal (x, y))
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55 if (nargin == 2)
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56 a = abs (sum (x .* (shift (y, -1) - shift (y, 1)))) / 2;
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57 else
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58 a = abs (sum (x .* (shift (y, -1, dim) - shift (y, 1, dim)), dim)) / 2;
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59 endif
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60 else
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61 error ("polyarea: X and Y must have the same shape");
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62 endif
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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)
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73