Mercurial > octave-antonio
annotate scripts/geometry/tsearchn.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> |
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date | Sun, 03 May 2015 09:36:20 -0700 |
parents | 4197fc428c7d |
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rev | line source |
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1 ## Copyright (C) 2007-2015 David Bateman |
6823 | 2 ## |
3 ## This file is part of Octave. | |
4 ## | |
5 ## Octave is free software; you can redistribute it and/or modify it | |
6 ## under the terms of the GNU General Public License as published by | |
7016 | 7 ## the Free Software Foundation; either version 3 of the License, or (at |
8 ## your option) any later version. | |
6823 | 9 ## |
10 ## Octave is distributed in the hope that it will be useful, but | |
11 ## WITHOUT ANY WARRANTY; without even the implied warranty of | |
12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
13 ## General Public License for more details. | |
14 ## | |
15 ## You should have received a copy of the GNU General Public License | |
7016 | 16 ## along with Octave; see the file COPYING. If not, see |
17 ## <http://www.gnu.org/licenses/>. | |
6823 | 18 |
19 ## -*- texinfo -*- | |
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20 ## @deftypefn {Function File} {@var{idx} =} tsearchn (@var{x}, @var{t}, @var{xi}) |
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21 ## @deftypefnx {Function File} {[@var{idx}, @var{p}] =} tsearchn (@var{x}, @var{t}, @var{xi}) |
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22 ## Search for the enclosing Delaunay convex hull. |
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23 ## |
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24 ## For @code{@var{t} = delaunayn (@var{x})}, finds the index in @var{t} |
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25 ## containing the points @var{xi}. For points outside the convex hull, |
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26 ## @var{idx} is NaN. |
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27 ## |
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28 ## If requested @code{tsearchn} also returns the Barycentric coordinates @var{p} |
6823 | 29 ## of the enclosing triangles. |
30 ## @seealso{delaunay, delaunayn} | |
31 ## @end deftypefn | |
32 | |
33 function [idx, p] = tsearchn (x, t, xi) | |
34 if (nargin != 3) | |
35 print_usage (); | |
36 endif | |
37 | |
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38 nt = rows (t); |
6823 | 39 [m, n] = size (x); |
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40 mi = rows (xi); |
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41 idx = NaN (mi, 1); |
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42 p = NaN (mi, n + 1); |
6823 | 43 |
44 ni = [1:mi].'; | |
45 for i = 1 : nt | |
46 ## Only calculate the Barycentric coordinates for points that have not | |
47 ## already been found in a triangle. | |
48 b = cart2bary (x (t (i, :), :), xi(ni,:)); | |
49 | |
50 ## Our points xi are in the current triangle if | |
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51 ## (all (b >= 0) && all (b <= 1)). However as we impose that |
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52 ## sum (b,2) == 1 we only need to test all(b>=0). Note need to add |
6823 | 53 ## a small margin for rounding errors |
54 intri = all (b >= -1e-12, 2); | |
55 idx(ni(intri)) = i; | |
56 p(ni(intri),:) = b(intri, :); | |
57 ni(intri) = []; | |
58 endfor | |
59 endfunction | |
60 | |
61 function Beta = cart2bary (T, P) | |
62 ## Conversion of Cartesian to Barycentric coordinates. | |
63 ## Given a reference simplex in N dimensions represented by a | |
64 ## (N+1)-by-(N) matrix, and arbitrary point P in cartesion coordinates, | |
65 ## represented by a N-by-1 row vector can be written as | |
66 ## | |
67 ## P = Beta * T | |
68 ## | |
69 ## Where Beta is a N+1 vector of the barycentric coordinates. A criteria | |
70 ## on Beta is that | |
71 ## | |
72 ## sum (Beta) == 1 | |
73 ## | |
74 ## and therefore we can write the above as | |
75 ## | |
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76 ## P - T(end, :) = Beta(1:end-1) * (T(1:end-1,:) - ones (N,1) * T(end,:)) |
6823 | 77 ## |
78 ## and then we can solve for Beta as | |
79 ## | |
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80 ## Beta(1:end-1) = (P - T(end,:)) / (T(1:end-1,:) - ones (N,1) * T(end,:)) |
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81 ## Beta(end) = sum (Beta) |
6823 | 82 ## |
83 ## Note below is generalize for multiple values of P, one per row. | |
84 [M, N] = size (P); | |
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85 Beta = (P - ones (M,1) * T(end,:)) / (T(1:end-1,:) - ones (N,1) * T(end,:)); |
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86 Beta (:,end+1) = 1 - sum (Beta, 2); |
6823 | 87 endfunction |
88 | |
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89 |
6823 | 90 %!shared x, tri |
91 %! x = [-1,-1;-1,1;1,-1]; | |
92 %! tri = [1, 2, 3]; | |
93 %!test | |
94 %! [idx, p] = tsearchn (x,tri,[-1,-1]); | |
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95 %! assert (idx, 1); |
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96 %! assert (p, [1,0,0], 1e-12); |
6823 | 97 %!test |
98 %! [idx, p] = tsearchn (x,tri,[-1,1]); | |
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99 %! assert (idx, 1); |
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100 %! assert (p, [0,1,0], 1e-12); |
6823 | 101 %!test |
102 %! [idx, p] = tsearchn (x,tri,[1,-1]); | |
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103 %! assert (idx, 1); |
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104 %! assert (p, [0,0,1], 1e-12); |
6823 | 105 %!test |
106 %! [idx, p] = tsearchn (x,tri,[-1/3,-1/3]); | |
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107 %! assert (idx, 1); |
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108 %! assert (p, [1/3,1/3,1/3], 1e-12); |
6823 | 109 %!test |
110 %! [idx, p] = tsearchn (x,tri,[1,1]); | |
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111 %! assert (idx, NaN); |
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112 %! assert (p, [NaN, NaN, NaN]); |
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113 |