Mercurial > octave-nkf
annotate scripts/deprecated/delaunay3.m @ 19630:0e1f5a750d00
maint: Periodic merge of gui-release to default.
author | John W. Eaton <jwe@octave.org> |
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date | Tue, 20 Jan 2015 10:24:46 -0500 |
parents | scripts/geometry/delaunay3.m@446c46af4b42 scripts/geometry/delaunay3.m@ba167badef9f |
children | ebd27d8c63fd |
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1 ## Copyright (C) 1999-2013 Kai Habel |
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{tetr} =} delaunay3 (@var{x}, @var{y}, @var{z}) |
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21 ## @deftypefnx {Function File} {@var{tetr} =} delaunay3 (@var{x}, @var{y}, @var{z}, @var{options}) |
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22 ## |
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23 ## @code{delaunay3} is deprecated and will be removed in Octave version 4.6. |
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24 ## Please use @code{delaunay} in all new code. |
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25 ## |
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26 ## Compute the Delaunay triangulation for a 3-D set of points. |
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27 ## The return value @var{tetr} is a set of tetrahedrons which satisfies the |
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28 ## Delaunay circum-circle criterion, i.e., only a single data point from |
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29 ## [@var{x}, @var{y}, @var{z}] is within the circum-circle of the defining |
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30 ## tetrahedron. |
6823 | 31 ## |
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32 ## The set of tetrahedrons @var{tetr} is a matrix of size [n, 4]. Each |
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33 ## row defines a tetrahedron and the four columns are the four vertices |
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34 ## of the tetrahedron. The value of @code{@var{tetr}(i,j)} is an index into |
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35 ## @var{x}, @var{y}, @var{z} for the location of the j-th vertex of the i-th |
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36 ## tetrahedron. |
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37 ## |
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38 ## An optional fourth argument, which must be a string or cell array of strings, |
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39 ## contains options passed to the underlying qhull command. |
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40 ## See the documentation for the Qhull library for details |
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41 ## @url{http://www.qhull.org/html/qh-quick.htm#options}. |
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42 ## The default options are @code{@{"Qt", "Qbb", "Qc", "Qz"@}}. |
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43 ## |
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44 ## If @var{options} is not present or @code{[]} then the default arguments are |
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45 ## used. Otherwise, @var{options} replaces the default argument list. |
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46 ## To append user options to the defaults it is necessary to repeat the |
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47 ## default arguments in @var{options}. Use a null string to pass no arguments. |
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48 ## |
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49 ## @seealso{delaunay, delaunayn, convhull, voronoi, tetramesh} |
6823 | 50 ## @end deftypefn |
51 | |
6826 | 52 ## Author: Kai Habel <kai.habel@gmx.de> |
6823 | 53 |
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54 function tetr = delaunay3 (x, y, z, options) |
6823 | 55 |
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56 persistent warned = false; |
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57 if (! warned) |
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58 warned = true; |
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59 warning ("Octave:deprecated-function", |
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60 "delaunay3 is obsolete and will be removed from a future version of Octave, please use delaunay instead"); |
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61 endif |
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62 |
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63 if (nargin < 3 || nargin > 4) |
6823 | 64 print_usage (); |
65 endif | |
66 | |
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67 if (! (isvector (x) && isvector (y) && isvector (z) |
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68 && length (x) == length (y) && length (x) == length (z))) |
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69 error ("delaunay: X, Y, and Z must be the same size"); |
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70 elseif (nargin == 4 && ! (ischar (options) || iscellstr (options))) |
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71 error ("delaunay3: OPTIONS must be a string or cell array of strings"); |
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72 endif |
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73 |
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74 if (nargin == 3) |
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75 tetr = delaunayn ([x(:), y(:), z(:)]); |
6823 | 76 else |
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77 tetr = delaunayn ([x(:), y(:), z(:)], options); |
6823 | 78 endif |
79 | |
80 endfunction | |
81 | |
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82 |
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83 %!testif HAVE_QHULL |
6823 | 84 %! x = [-1, -1, 1, 0, -1]; y = [-1, 1, 1, 0, -1]; z = [0, 0, 0, 1, 1]; |
85 %! assert (sortrows (sort (delaunay3 (x, y, z), 2)), [1,2,3,4;1,2,4,5]) | |
86 | |
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87 %% FIXME: Need input validation tests |
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88 |