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annotate scripts/geometry/delaunay.m @ 15116:3d7a7ae53bbf gui

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Further integration of GUI in the build system. * Makefile.am (SUBDIRS): Add gui conditionally. * configure.ac (AC_CHECK_PROGS(rcc)): Check for new program. (AC_ARG_ENABLE(gui): New configure flag. * gui/src/Makefile.am: Add support for resource file compilation. Use nodist_XXX_SOURCES for MOC files.
author Michael Goffioul <michael.goffioul@gmail.com>
date Sun, 05 Aug 2012 20:04:53 +0100
parents 759944521fd6
children 7c4a6197e020
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72c96de7a403 maint: update copyright notices for 2012
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1 ## Copyright (C) 1999-2012 Kai Habel
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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} {} delaunay (@var{x}, @var{y})
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21 ## @deftypefnx {Function File} {@var{tri} =} delaunay (@var{x}, @var{y})
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22 ## @deftypefnx {Function File} {@var{tri} =} delaunay (@var{x}, @var{y}, @var{options})
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23 ## Compute the Delaunay triangulation for a 2-D set of points.
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24 ## The return value @var{tri} is a set of triangles which satisfies the
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25 ## Delaunay circum-circle criterion, i.e., only a single data point from
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26 ## [@var{x}, @var{y}] is within the circum-circle of the defining triangle.
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27 ##
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28 ## The set of triangles @var{tri} is a matrix of size [n, 3]. Each
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29 ## row defines a triangle and the three columns are the three vertices
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30 ## of the triangle. The value of @code{@var{tri}(i,j)} is an index into
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31 ## @var{x} and @var{y} for the location of the j-th vertex of the i-th
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32 ## triangle.
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33 ##
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34 ## An optional third argument, which must be a string or cell array of strings,
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35 ## contains options passed to the underlying qhull command.
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36 ## See the documentation for the Qhull library for details
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37 ## @url{http://www.qhull.org/html/qh-quick.htm#options}.
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38 ## The default options are @code{@{"Qt", "Qbb", "Qc", "Qz"@}}.
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39 ##
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40 ## If @var{options} is not present or @code{[]} then the default arguments are
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41 ## used. Otherwise, @var{options} replaces the default argument list.
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42 ## To append user options to the defaults it is necessary to repeat the
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43 ## default arguments in @var{options}. Use a null string to pass no arguments.
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44 ##
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45 ## If no output argument is specified the resulting Delaunay triangulation
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46 ## is plotted along with the original set of points.
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47 ##
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48 ## @example
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49 ## @group
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50 ## x = rand (1, 10);
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51 ## y = rand (1, 10);
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52 ## T = delaunay (x, y);
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53 ## VX = [ x(T(:,1)); x(T(:,2)); x(T(:,3)); x(T(:,1)) ];
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54 ## VY = [ y(T(:,1)); y(T(:,2)); y(T(:,3)); y(T(:,1)) ];
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55 ## axis ([0,1,0,1]);
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56 ## plot (VX, VY, "b", x, y, "r*");
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57 ## @end group
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58 ## @end example
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59 ## @seealso{delaunay3, delaunayn, convhull, voronoi, triplot, trimesh, trisurf}
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60 ## @end deftypefn
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61
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62 ## Author: Kai Habel <kai.habel@gmx.de>
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63
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64 function tri = delaunay (x, y, options)
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65
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66 if (nargin != 2 && nargin != 3)
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67 print_usage ();
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68 endif
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69
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70 if (! (isvector (x) && isvector (y) && length (x) == length (y))
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71 && ! size_equal (x, y))
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72 error ("delaunay: X and Y must be the same size");
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73 elseif (nargin == 3 && ! (ischar (options) || iscellstr (options)))
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74 error ("delaunay: OPTIONS must be a string or cell array of strings");
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75 endif
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76
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77 if (nargin == 2)
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78 T = delaunayn ([x(:), y(:)]);
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79 else
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80 T = delaunayn ([x(:), y(:)], options);
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81 endif
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82
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83 if (nargout == 0)
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84 x = x(:).';
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85 y = y(:).';
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86 VX = [ x(T(:,1)); x(T(:,2)); x(T(:,3)); x(T(:,1)) ];
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87 VY = [ y(T(:,1)); y(T(:,2)); y(T(:,3)); y(T(:,1)) ];
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88 plot (VX, VY, "b", x, y, "r*");
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89 else
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90 tri = T;
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91 endif
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92
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93 endfunction
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94
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95
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96 %!demo
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97 %! old_state = rand ("state");
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98 %! restore_state = onCleanup (@() rand ("state", old_state));
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99 %! rand ("state", 1);
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100 %! x = rand (1,10);
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101 %! y = rand (1,10);
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102 %! T = delaunay (x,y);
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103 %! VX = [ x(T(:,1)); x(T(:,2)); x(T(:,3)); x(T(:,1)) ];
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104 %! VY = [ y(T(:,1)); y(T(:,2)); y(T(:,3)); y(T(:,1)) ];
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105 %! clf;
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106 %! plot (VX,VY,"b", x,y,"r*");
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107 %! axis ([0,1,0,1]);
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108
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109 %!testif HAVE_QHULL
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110 %! x = [-1, 0, 1, 0];
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111 %! y = [0, 1, 0, -1];
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112 %! assert (sortrows (sort (delaunay (x, y), 2)), [1,2,4;2,3,4]);
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113
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114 %!testif HAVE_QHULL
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115 %! x = [-1, 0, 1, 0, 0];
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116 %! y = [0, 1, 0, -1, 0];
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117 %! assert (sortrows (sort (delaunay (x, y), 2)), [1,2,5;1,4,5;2,3,5;3,4,5]);
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9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
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7ff0bdc3dc4c Revamp geometry functions dependent on Qhull (Bug #34604, Bug #33346)
Rik <octave@nomad.inbox5.com>
parents: 11587
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119 %% FIXME: Need input validation tests
7ff0bdc3dc4c Revamp geometry functions dependent on Qhull (Bug #34604, Bug #33346)
Rik <octave@nomad.inbox5.com>
parents: 11587
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120