annotate scripts/geometry/griddatan.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 9fc020886ae9
children
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rev   line source
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4197fc428c7d maint: Update copyright notices for 2015.
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1 ## Copyright (C) 2007-2015 David Bateman
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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{yi} =} griddatan (@var{x}, @var{y}, @var{xi})
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21 ## @deftypefnx {Function File} {@var{yi} =} griddatan (@var{x}, @var{y}, @var{xi}, @var{method})
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22 ## @deftypefnx {Function File} {@var{yi} =} griddatan (@var{x}, @var{y}, @var{xi}, @var{method}, @var{options})
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23 ##
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24 ## Generate a regular mesh from irregular data using interpolation.
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25 ##
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26 ## The function is defined by @code{@var{y} = f (@var{x})}.
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27 ## The interpolation points are all @var{xi}.
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28 ##
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29 ## The interpolation method can be @qcode{"nearest"} or @qcode{"linear"}.
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30 ## If method is omitted it defaults to @qcode{"linear"}.
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31 ##
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32 ## The optional argument @var{options} is passed directly to Qhull when
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33 ## computing the Delaunay triangulation used for interpolation. See
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34 ## @code{delaunayn} for information on the defaults and how to pass different
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35 ## values.
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36 ## @seealso{griddata, griddata3, delaunayn}
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37 ## @end deftypefn
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38
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39 ## Author: David Bateman <dbateman@free.fr>
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40
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41 function yi = griddatan (x, y, xi, method = "linear", varargin)
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42
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43 if (nargin < 3)
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44 print_usage ();
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45 endif
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46
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47 if (ischar (method))
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48 method = tolower (method);
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49 endif
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50
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51 [m, n] = size (x);
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52 [mi, ni] = size (xi);
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53
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54 if (n != ni || rows (y) != m || columns (y) != 1)
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55 error ("griddatan: dimensional mismatch");
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56 endif
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57
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58 ## triangulate data
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59 tri = delaunayn (x, varargin{:});
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60
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61 yi = NaN (mi, 1);
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62
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63 if (strcmp (method, "nearest"))
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64 ## search index of nearest point
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65 idx = dsearchn (x, tri, xi);
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66 valid = ! isnan (idx);
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67 yi(valid) = y(idx(valid));
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68
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69 elseif (strcmp (method, "linear"))
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70 ## search for every point the enclosing triangle
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71 [tri_list, bary_list] = tsearchn (x, tri, xi);
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72
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73 ## only keep the points within triangles.
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74 valid = ! isnan (tri_list);
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75 tri_list = tri_list(! isnan (tri_list));
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76 bary_list = bary_list(! isnan (tri_list), :);
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77 nr_t = rows (tri_list);
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78
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79 ## assign x,y for each point of simplex
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80 xt = reshape (x(tri(tri_list,:),:), [nr_t, n+1, n]);
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81 yt = y(tri(tri_list,:));
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82
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83 ## Use barycentric coordinate of point to calculate yi
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84 yi(valid) = sum (y(tri(tri_list,:)) .* bary_list, 2);
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85
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86 else
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87 error ("griddatan: unknown interpolation METHOD");
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88 endif
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89
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90 endfunction
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91
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92
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93 %!testif HAVE_QHULL
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94 %! [xx,yy] = meshgrid (linspace (-1,1,32));
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95 %! xi = [xx(:), yy(:)];
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96 %! x = 2*rand (100,2) - 1;
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97 %! x = [x;1,1;1,-1;-1,-1;-1,1];
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98 %! y = sin (2 * sum (x.^2,2));
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99 %! zz = griddatan (x,y,xi,"linear");
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100 %! zz2 = griddata (x(:,1),x(:,2),y,xi(:,1),xi(:,2),"linear");
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101 %! assert (zz, zz2, 1e-10);
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102
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103 %!testif HAVE_QHULL
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104 %! [xx,yy] = meshgrid (linspace (-1,1,32));
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105 %! xi = [xx(:), yy(:)];
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106 %! x = 2*rand (100,2) - 1;
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107 %! x = [x;1,1;1,-1;-1,-1;-1,1];
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108 %! y = sin (2*sum (x.^2,2));
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109 %! zz = griddatan (x,y,xi,"nearest");
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
110 %! zz2 = griddata (x(:,1),x(:,2),y,xi(:,1),xi(:,2),"nearest");
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
111 %! assert (zz, zz2, 1e-10);
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14138
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112