annotate scripts/geometry/rectint.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 33e706b6b7be
children
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rev   line source
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1 ## Copyright (C) 2015 Carnë Draug
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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} {@var{area} =} rectint (@var{a}, @var{b})
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21 ## Compute area or volume of intersection of rectangles or N-D boxes.
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22 ##
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23 ## Compute the area of intersection of rectangles in @var{a} and rectangles in
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24 ## @var{b}. N-dimensional boxes are supported in which case the volume, or
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25 ## hypervolume is computed according to the number of dimensions.
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26 ##
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27 ## 2-dimensional rectangles are defined as @code{[xpos ypos width height]}
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28 ## where xpos and ypos are the position of the bottom left corner. Higher
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29 ## dimensions are supported where the coordinates for the minimum value of each
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30 ## dimension follow the length of the box in that dimension, e.g.,
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31 ## @code{[xpos ypos zpos kpos @dots{} width height depth k_length @dots{}]}.
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32 ##
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33 ## Each row of @var{a} and @var{b} define a rectangle, and if both define
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34 ## multiple rectangles, then the output, @var{area}, is a matrix where the i-th
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35 ## row corresponds to the i-th row of a and the j-th column corresponds to the
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36 ## j-th row of b.
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37 ##
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38 ## @seealso{polyarea}
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39 ## @end deftypefn
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40
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41 ## Author: 2015 Carnë Draug <carandraug@octave.org>
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42
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43 function dists = rectint (a, b)
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44
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45 if (nargin != 2)
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46 print_usage ();
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47 elseif (columns (a) != columns (b))
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48 error ("rectint: A and B must have same number of columns");
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49 elseif (ndims (a) > 2)
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50 error ("rectint: A and B must be 2-d arrays");
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51 elseif (mod (columns (a), 2))
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52 error ("rectint: number of columns of A and B must be a multiple of two");
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53 endif
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54
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55 nd = columns (a) / 2;
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56 na = rows (a);
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57 nb = rows (b);
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58
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59 a_start = a(:,1:nd);
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60 b_start = b(:,1:nd);
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61
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62 a_end = a_start + a(:,nd+1:end);
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63 b_end = b_start + b(:,nd+1:end);
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64
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65 a_start = reshape (a_start, [na 1 nd]);
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66 b_start = reshape (b_start, [1 nb nd]);
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67
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68 a_end = reshape (a_end, [na 1 nd]);
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69 b_end = reshape (b_end, [1 nb nd]);
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70
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71 ## We get a 3d matrix where each dimension is in the 3rd dimension
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72 dists = bsxfun (@min , a_end, b_end) - bsxfun (@max, a_start, b_start);
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73 dists(dists < 0) = 0;
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74 dists = prod (dists, 3);
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75
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76 endfunction
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77
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78 ## Exactly overlapping
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79 %!assert (rectint ([0 0 1 1], [0 0 1 1]), 1)
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80 ## rect2 completely enclosed by rect1
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81 %!assert (rectint ([-1 -1 3 3], [0 0 1 1]), 1)
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82 ## rect1 completely enclosed by rect2
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83 %!assert (rectint ([0 0 1 1], [-1 -1 3 3]), 1)
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84 ## rect1 right and top in rect2
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85 %!assert (rectint ([-1 -1 1.5 1.5], [0 0 1 1]), 0.25)
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86 ## rect2 right and top in rect1
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87 %!assert (rectint ([0 0 1 1], [-1 -1 1.5 1.5]), 0.25)
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88 ## no overlap - shared corner
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89 %!assert (rectint ([0 0 1 1], [1 1 2 2]), 0)
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90 ## no overlap - shared edge
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91 %!assert (rectint ([0 0 1 1], [0 1 2 2]), 0)
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92 ## Correct orientation of output
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93 %!assert (rectint ([0 0 1 1;0.5 0.5 1 1;-1 -1 2 2], [1 1 2 2]), [0;0.25;0])
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94 %!assert (rectint ([1 1 2 2], [0 0 1 1;0.5 0.5 1 1;-1 -1 2 2]), [0 0.25 0])
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95
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96 ## bug #44904
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97 %!assert (rectint ([0 0 5 5], [6 6 5 5]), 0)
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98 %!assert (rectint ([0 0 5 5], [0 6 5 5]), 0)
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99 %!assert (rectint ([0 0 5 5], [6 0 5 5]), 0)
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100 %!assert (rectint ([0 0 0 5 5 5], [0 0 6 5 5 5]), 0)
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101
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102 ## Test volumes
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103 %!shared r1, r2, r3, r4, r5
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104 %! r1 = [ 5 3 0 7 5 2];
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diff changeset
105 %! r2 = [ 2 5 0 4 2 2];
33e706b6b7be rectint: fix for non-overlapping rectangle, and support ND boxes (bug #44904)
Carnë Draug <carandraug@octave.org>
parents: 19697
diff changeset
106 %! r3 = [ 10 7 0 10 3 2];
33e706b6b7be rectint: fix for non-overlapping rectangle, and support ND boxes (bug #44904)
Carnë Draug <carandraug@octave.org>
parents: 19697
diff changeset
107 %! r4 = [ 10 -5 0 5 7 2];
33e706b6b7be rectint: fix for non-overlapping rectangle, and support ND boxes (bug #44904)
Carnë Draug <carandraug@octave.org>
parents: 19697
diff changeset
108 %! r5 = [-10 0 0 40 11 2];
33e706b6b7be rectint: fix for non-overlapping rectangle, and support ND boxes (bug #44904)
Carnë Draug <carandraug@octave.org>
parents: 19697
diff changeset
109
33e706b6b7be rectint: fix for non-overlapping rectangle, and support ND boxes (bug #44904)
Carnë Draug <carandraug@octave.org>
parents: 19697
diff changeset
110 %!assert (rectint (r5, r1), 70)
33e706b6b7be rectint: fix for non-overlapping rectangle, and support ND boxes (bug #44904)
Carnë Draug <carandraug@octave.org>
parents: 19697
diff changeset
111 %!assert (rectint (r5, r4), 20)
33e706b6b7be rectint: fix for non-overlapping rectangle, and support ND boxes (bug #44904)
Carnë Draug <carandraug@octave.org>
parents: 19697
diff changeset
112 %!assert (rectint (r5, [r1; r2; r3; r4]), [70 16 60 20])
33e706b6b7be rectint: fix for non-overlapping rectangle, and support ND boxes (bug #44904)
Carnë Draug <carandraug@octave.org>
parents: 19697
diff changeset
113
33e706b6b7be rectint: fix for non-overlapping rectangle, and support ND boxes (bug #44904)
Carnë Draug <carandraug@octave.org>
parents: 19697
diff changeset
114 ## Test multiple volumes in both A and B
33e706b6b7be rectint: fix for non-overlapping rectangle, and support ND boxes (bug #44904)
Carnë Draug <carandraug@octave.org>
parents: 19697
diff changeset
115 %!assert (rectint ([r2; r5], [r1; r3; r4]), [4 0 0; 70 60 20])