octave: scripts/geometry/delaunayn.m annotate

annotate scripts/geometry/delaunayn.m @ 28714:d8dcb36bb904 stable

maint: spellcheck documentation ahead of 6.1 release. * aspell-octave.en.pws: Add new words to Octave-specific dictionary. * diffeq.txi, data.cc, delaunay.m, delaunayn.m, ode23s.m, pkg.m: spellcheck documentation ahead of 6.1 release.

author	Rik <rik@octave.org>
date	Thu, 10 Sep 2020 14:54:42 -0700
parents	2e6dc7e2b191
children	90fea9cc9caa 0a5b15007766

rev	line source
27923 bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	1 ########################################################################
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	2 ##
27919 1891570abac8 update Octave Project Developers copyright for the new year John W. Eaton <jwe@octave.org> parents: 27918 diff changeset	3 ## Copyright (C) 2007-2020 The Octave Project Developers
27918 b442ec6dda5c use centralized file for copyright info for individual contributors John W. Eaton <jwe@octave.org> parents: 26376 diff changeset	4 ##
27923 bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	5 ## See the file COPYRIGHT.md in the top-level directory of this
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	6 ## distribution or <https://octave.org/copyright/>.
6823 9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman] dbateman parents: diff changeset	7 ##
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman] dbateman parents: diff changeset	8 ## This file is part of Octave.
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman] dbateman parents: diff changeset	9 ##
24534 194eb4bd202b maint: Update punctuation for GPL v3 license text. Rik <rik@octave.org> parents: 23220 diff changeset	10 ## Octave is free software: you can redistribute it and/or modify it
6823 9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman] dbateman parents: diff changeset	11 ## under the terms of the GNU General Public License as published by
24534 194eb4bd202b maint: Update punctuation for GPL v3 license text. Rik <rik@octave.org> parents: 23220 diff changeset	12 ## the Free Software Foundation, either version 3 of the License, or
22755 3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22323 diff changeset	13 ## (at your option) any later version.
6823 9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman] dbateman parents: diff changeset	14 ##
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman] dbateman parents: diff changeset	15 ## Octave is distributed in the hope that it will be useful, but
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman] dbateman parents: diff changeset	16 ## WITHOUT ANY WARRANTY; without even the implied warranty of
22755 3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22323 diff changeset	17 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22323 diff changeset	18 ## GNU General Public License for more details.
6823 9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman] dbateman parents: diff changeset	19 ##
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman] dbateman parents: diff changeset	20 ## You should have received a copy of the GNU General Public License
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6846 diff changeset	21 ## along with Octave; see the file COPYING. If not, see
24534 194eb4bd202b maint: Update punctuation for GPL v3 license text. Rik <rik@octave.org> parents: 23220 diff changeset	22 ## <https://www.gnu.org/licenses/>.
27923 bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	23 ##
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	24 ########################################################################
6823 9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman] dbateman parents: diff changeset	25
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman] dbateman parents: diff changeset	26 ## -- texinfo --
20852 516bb87ea72e 2015 Code Sprint: remove class of function from docstring for all m-files. Rik <rik@octave.org> parents: 20158 diff changeset	27 ## @deftypefn {} {@var{T} =} delaunayn (@var{pts})
516bb87ea72e 2015 Code Sprint: remove class of function from docstring for all m-files. Rik <rik@octave.org> parents: 20158 diff changeset	28 ## @deftypefnx {} {@var{T} =} delaunayn (@var{pts}, @var{options})
13746 7ff0bdc3dc4c Revamp geometry functions dependent on Qhull (Bug #34604, Bug #33346) Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	29 ## Compute the Delaunay triangulation for an N-dimensional set of points.
20158 7503499a252b doc: Update docstrings to have one sentence summary as first line. Rik <rik@octave.org> parents: 19833 diff changeset	30 ##
7503499a252b doc: Update docstrings to have one sentence summary as first line. Rik <rik@octave.org> parents: 19833 diff changeset	31 ## The Delaunay triangulation is a tessellation of the convex hull of a set of
7503499a252b doc: Update docstrings to have one sentence summary as first line. Rik <rik@octave.org> parents: 19833 diff changeset	32 ## points such that no N-sphere defined by the N-triangles contains any other
7503499a252b doc: Update docstrings to have one sentence summary as first line. Rik <rik@octave.org> parents: 19833 diff changeset	33 ## points from the set.
19593 446c46af4b42 strip trailing whitespace from most source files John W. Eaton <jwe@octave.org> parents: 17744 diff changeset	34 ##
13746 7ff0bdc3dc4c Revamp geometry functions dependent on Qhull (Bug #34604, Bug #33346) Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	35 ## The input matrix @var{pts} of size [n, dim] contains n points in a space of
20158 7503499a252b doc: Update docstrings to have one sentence summary as first line. Rik <rik@octave.org> parents: 19833 diff changeset	36 ## dimension dim. The return matrix @var{T} has size [m, dim+1]. Each row of
7503499a252b doc: Update docstrings to have one sentence summary as first line. Rik <rik@octave.org> parents: 19833 diff changeset	37 ## @var{T} contains a set of indices back into the original set of points
13746 7ff0bdc3dc4c Revamp geometry functions dependent on Qhull (Bug #34604, Bug #33346) Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	38 ## @var{pts} which describes a simplex of dimension dim. For example, a 2-D
7ff0bdc3dc4c Revamp geometry functions dependent on Qhull (Bug #34604, Bug #33346) Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	39 ## simplex is a triangle and 3-D simplex is a tetrahedron.
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11563 diff changeset	40 ##
21546 f7f97d7e9294 doc: Wrap m-file docstrings to 79 characters + newline (80 total). Rik <rik@octave.org> parents: 20852 diff changeset	41 ## An optional second argument, which must be a string or cell array of
f7f97d7e9294 doc: Wrap m-file docstrings to 79 characters + newline (80 total). Rik <rik@octave.org> parents: 20852 diff changeset	42 ## strings, contains options passed to the underlying qhull command. See the
f7f97d7e9294 doc: Wrap m-file docstrings to 79 characters + newline (80 total). Rik <rik@octave.org> parents: 20852 diff changeset	43 ## documentation for the Qhull library for details
13746 7ff0bdc3dc4c Revamp geometry functions dependent on Qhull (Bug #34604, Bug #33346) Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	44 ## @url{http://www.qhull.org/html/qh-quick.htm#options}.
7ff0bdc3dc4c Revamp geometry functions dependent on Qhull (Bug #34604, Bug #33346) Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	45 ## The default options depend on the dimension of the input:
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11563 diff changeset	46 ##
c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11563 diff changeset	47 ## @itemize
28027 2e6dc7e2b191 Use appropriate Qhull options as necessary to obtain triangulation (bug #50494). Rik <rik@octave.org> parents: 27923 diff changeset	48 ## @item 2-D and 3-D: @var{options} = @code{@{"Qt", "Qbb", "Qc"@}}
10821 693e22af08ae Grammarcheck documentation of m-files Rik <octave@nomad.inbox5.com> parents: 10793 diff changeset	49 ##
13746 7ff0bdc3dc4c Revamp geometry functions dependent on Qhull (Bug #34604, Bug #33346) Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	50 ## @item 4-D and higher: @var{options} = @code{@{"Qt", "Qbb", "Qc", "Qx"@}}
6826 8618f29520c6 [project @ 2007-08-24 16:02:07 by jwe] jwe parents: 6823 diff changeset	51 ## @end itemize
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11563 diff changeset	52 ##
28714 d8dcb36bb904 maint: spellcheck documentation ahead of 6.1 release. Rik <rik@octave.org> parents: 28027 diff changeset	53 ## If Qhull fails for 2-D input the triangulation is attempted again with
28027 2e6dc7e2b191 Use appropriate Qhull options as necessary to obtain triangulation (bug #50494). Rik <rik@octave.org> parents: 27923 diff changeset	54 ## the options @code{@{"Qt", "Qbb", "Qc", "Qz"@}} which may result in
2e6dc7e2b191 Use appropriate Qhull options as necessary to obtain triangulation (bug #50494). Rik <rik@octave.org> parents: 27923 diff changeset	55 ## reduced accuracy.
2e6dc7e2b191 Use appropriate Qhull options as necessary to obtain triangulation (bug #50494). Rik <rik@octave.org> parents: 27923 diff changeset	56 ##
13746 7ff0bdc3dc4c Revamp geometry functions dependent on Qhull (Bug #34604, Bug #33346) Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	57 ## If @var{options} is not present or @code{[]} then the default arguments are
19593 446c46af4b42 strip trailing whitespace from most source files John W. Eaton <jwe@octave.org> parents: 17744 diff changeset	58 ## used. Otherwise, @var{options} replaces the default argument list.
446c46af4b42 strip trailing whitespace from most source files John W. Eaton <jwe@octave.org> parents: 17744 diff changeset	59 ## To append user options to the defaults it is necessary to repeat the
13746 7ff0bdc3dc4c Revamp geometry functions dependent on Qhull (Bug #34604, Bug #33346) Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	60 ## default arguments in @var{options}. Use a null string to pass no arguments.
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11563 diff changeset	61 ##
19164 ba167badef9f Deprecate delaunay3 and extend delaunay to 3-D inputs. Rik <rik@octave.org> parents: 17744 diff changeset	62 ## @seealso{delaunay, convhulln, voronoin, trimesh, tetramesh}
6823 9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman] dbateman parents: diff changeset	63 ## @end deftypefn
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman] dbateman parents: diff changeset	64
13746 7ff0bdc3dc4c Revamp geometry functions dependent on Qhull (Bug #34604, Bug #33346) Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	65 function T = delaunayn (pts, varargin)
7ff0bdc3dc4c Revamp geometry functions dependent on Qhull (Bug #34604, Bug #33346) Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	66
6823 9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman] dbateman parents: diff changeset	67 if (nargin < 1)
6826 8618f29520c6 [project @ 2007-08-24 16:02:07 by jwe] jwe parents: 6823 diff changeset	68 print_usage ();
6823 9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman] dbateman parents: diff changeset	69 endif
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman] dbateman parents: diff changeset	70
28027 2e6dc7e2b191 Use appropriate Qhull options as necessary to obtain triangulation (bug #50494). Rik <rik@octave.org> parents: 27923 diff changeset	71 if (isempty (varargin) \|\| isempty (varargin{1}))
2e6dc7e2b191 Use appropriate Qhull options as necessary to obtain triangulation (bug #50494). Rik <rik@octave.org> parents: 27923 diff changeset	72 try
2e6dc7e2b191 Use appropriate Qhull options as necessary to obtain triangulation (bug #50494). Rik <rik@octave.org> parents: 27923 diff changeset	73 T = __delaunayn__ (pts);
2e6dc7e2b191 Use appropriate Qhull options as necessary to obtain triangulation (bug #50494). Rik <rik@octave.org> parents: 27923 diff changeset	74 catch
2e6dc7e2b191 Use appropriate Qhull options as necessary to obtain triangulation (bug #50494). Rik <rik@octave.org> parents: 27923 diff changeset	75 if (columns (pts) <= 2)
2e6dc7e2b191 Use appropriate Qhull options as necessary to obtain triangulation (bug #50494). Rik <rik@octave.org> parents: 27923 diff changeset	76 T = __delaunayn__ (pts, "Qt Qbb Qc Qz");
2e6dc7e2b191 Use appropriate Qhull options as necessary to obtain triangulation (bug #50494). Rik <rik@octave.org> parents: 27923 diff changeset	77 endif
2e6dc7e2b191 Use appropriate Qhull options as necessary to obtain triangulation (bug #50494). Rik <rik@octave.org> parents: 27923 diff changeset	78 end_try_catch
2e6dc7e2b191 Use appropriate Qhull options as necessary to obtain triangulation (bug #50494). Rik <rik@octave.org> parents: 27923 diff changeset	79 else
2e6dc7e2b191 Use appropriate Qhull options as necessary to obtain triangulation (bug #50494). Rik <rik@octave.org> parents: 27923 diff changeset	80 T = __delaunayn__ (pts, varargin{:});
2e6dc7e2b191 Use appropriate Qhull options as necessary to obtain triangulation (bug #50494). Rik <rik@octave.org> parents: 27923 diff changeset	81 endif
6823 9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman] dbateman parents: diff changeset	82
13746 7ff0bdc3dc4c Revamp geometry functions dependent on Qhull (Bug #34604, Bug #33346) Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	83 if (isa (pts, "single"))
19172 4318cb91deac delaunayn.m: Slight performance increase and addition of BIST tests. Rik <rik@octave.org> parents: 19164 diff changeset	84 tol = 1e3 * eps ("single");
7795 df9519e9990c Handle single precision eps values David Bateman <dbateman@free.fr> parents: 7208 diff changeset	85 else
19172 4318cb91deac delaunayn.m: Slight performance increase and addition of BIST tests. Rik <rik@octave.org> parents: 19164 diff changeset	86 tol = 1e3 * eps;
7795 df9519e9990c Handle single precision eps values David Bateman <dbateman@free.fr> parents: 7208 diff changeset	87 endif
df9519e9990c Handle single precision eps values David Bateman <dbateman@free.fr> parents: 7208 diff changeset	88
13746 7ff0bdc3dc4c Revamp geometry functions dependent on Qhull (Bug #34604, Bug #33346) Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	89 ## Try to remove the zero volume simplices. The volume of the i-th simplex is
25328 3b96348d5ccd delaunayn.m: Vectorize test for 2-D zero volume simplexes (bug #53689) Rik <rik@octave.org> parents: 25054 diff changeset	90 ## given by abs(det(pts(T(i,1:end-1),:)-pts(T(i,2:end),:)))/factorial(ndim+1)
13746 7ff0bdc3dc4c Revamp geometry functions dependent on Qhull (Bug #34604, Bug #33346) Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	91 ## (reference http://en.wikipedia.org/wiki/Simplex). Any simplex with a
7ff0bdc3dc4c Revamp geometry functions dependent on Qhull (Bug #34604, Bug #33346) Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	92 ## relative volume less than some arbitrary criteria is rejected. The
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11563 diff changeset	93 ## criteria we use is the volume of the simplex corresponding to an
c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11563 diff changeset	94 ## orthogonal simplex is equal edge length all equal to the edge length of
13746 7ff0bdc3dc4c Revamp geometry functions dependent on Qhull (Bug #34604, Bug #33346) Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	95 ## the original simplex. If the relative volume is 1e3*eps then the simplex
7ff0bdc3dc4c Revamp geometry functions dependent on Qhull (Bug #34604, Bug #33346) Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	96 ## is rejected. Note division of the two volumes means that the factor
25328 3b96348d5ccd delaunayn.m: Vectorize test for 2-D zero volume simplexes (bug #53689) Rik <rik@octave.org> parents: 25054 diff changeset	97 ## factorial(ndim+1) is dropped.
3b96348d5ccd delaunayn.m: Vectorize test for 2-D zero volume simplexes (bug #53689) Rik <rik@octave.org> parents: 25054 diff changeset	98 [nt, nd] = size (T);
3b96348d5ccd delaunayn.m: Vectorize test for 2-D zero volume simplexes (bug #53689) Rik <rik@octave.org> parents: 25054 diff changeset	99 if (nd == 3)
3b96348d5ccd delaunayn.m: Vectorize test for 2-D zero volume simplexes (bug #53689) Rik <rik@octave.org> parents: 25054 diff changeset	100 ## 2-D case
3b96348d5ccd delaunayn.m: Vectorize test for 2-D zero volume simplexes (bug #53689) Rik <rik@octave.org> parents: 25054 diff changeset	101 np = rows (pts);
3b96348d5ccd delaunayn.m: Vectorize test for 2-D zero volume simplexes (bug #53689) Rik <rik@octave.org> parents: 25054 diff changeset	102 ptsz = [pts, zeros(np, 1)];
3b96348d5ccd delaunayn.m: Vectorize test for 2-D zero volume simplexes (bug #53689) Rik <rik@octave.org> parents: 25054 diff changeset	103 p1 = ptsz(T(:,1), :);
3b96348d5ccd delaunayn.m: Vectorize test for 2-D zero volume simplexes (bug #53689) Rik <rik@octave.org> parents: 25054 diff changeset	104 p2 = ptsz(T(:,2), :);
3b96348d5ccd delaunayn.m: Vectorize test for 2-D zero volume simplexes (bug #53689) Rik <rik@octave.org> parents: 25054 diff changeset	105 p3 = ptsz(T(:,3), :);
3b96348d5ccd delaunayn.m: Vectorize test for 2-D zero volume simplexes (bug #53689) Rik <rik@octave.org> parents: 25054 diff changeset	106 p12 = p1 - p2;
3b96348d5ccd delaunayn.m: Vectorize test for 2-D zero volume simplexes (bug #53689) Rik <rik@octave.org> parents: 25054 diff changeset	107 p23 = p2 - p3;
3b96348d5ccd delaunayn.m: Vectorize test for 2-D zero volume simplexes (bug #53689) Rik <rik@octave.org> parents: 25054 diff changeset	108 det = cross (p12, p23, 2);
3b96348d5ccd delaunayn.m: Vectorize test for 2-D zero volume simplexes (bug #53689) Rik <rik@octave.org> parents: 25054 diff changeset	109 idx = abs (det(:,3) ./ sqrt (sumsq (p12, 2))) < tol & ...
3b96348d5ccd delaunayn.m: Vectorize test for 2-D zero volume simplexes (bug #53689) Rik <rik@octave.org> parents: 25054 diff changeset	110 abs (det(:,3) ./ sqrt (sumsq (p23, 2))) < tol;
3b96348d5ccd delaunayn.m: Vectorize test for 2-D zero volume simplexes (bug #53689) Rik <rik@octave.org> parents: 25054 diff changeset	111 else
3b96348d5ccd delaunayn.m: Vectorize test for 2-D zero volume simplexes (bug #53689) Rik <rik@octave.org> parents: 25054 diff changeset	112 ## FIXME: Vectorize this for loop or convert delaunayn to .oct function
3b96348d5ccd delaunayn.m: Vectorize test for 2-D zero volume simplexes (bug #53689) Rik <rik@octave.org> parents: 25054 diff changeset	113 idx = [];
3b96348d5ccd delaunayn.m: Vectorize test for 2-D zero volume simplexes (bug #53689) Rik <rik@octave.org> parents: 25054 diff changeset	114 for i = 1:nt
3b96348d5ccd delaunayn.m: Vectorize test for 2-D zero volume simplexes (bug #53689) Rik <rik@octave.org> parents: 25054 diff changeset	115 X = pts(T(i,1:end-1),:) - pts(T(i,2:end),:);
3b96348d5ccd delaunayn.m: Vectorize test for 2-D zero volume simplexes (bug #53689) Rik <rik@octave.org> parents: 25054 diff changeset	116 if (abs (det (X)) / sqrt (sumsq (X, 2)) < tol)
3b96348d5ccd delaunayn.m: Vectorize test for 2-D zero volume simplexes (bug #53689) Rik <rik@octave.org> parents: 25054 diff changeset	117 idx(end+1) = i;
3b96348d5ccd delaunayn.m: Vectorize test for 2-D zero volume simplexes (bug #53689) Rik <rik@octave.org> parents: 25054 diff changeset	118 endif
3b96348d5ccd delaunayn.m: Vectorize test for 2-D zero volume simplexes (bug #53689) Rik <rik@octave.org> parents: 25054 diff changeset	119 endfor
3b96348d5ccd delaunayn.m: Vectorize test for 2-D zero volume simplexes (bug #53689) Rik <rik@octave.org> parents: 25054 diff changeset	120 endif
13746 7ff0bdc3dc4c Revamp geometry functions dependent on Qhull (Bug #34604, Bug #33346) Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	121 T(idx,:) = [];
7ff0bdc3dc4c Revamp geometry functions dependent on Qhull (Bug #34604, Bug #33346) Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	122
6823 9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman] dbateman parents: diff changeset	123 endfunction
13746 7ff0bdc3dc4c Revamp geometry functions dependent on Qhull (Bug #34604, Bug #33346) Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	124
7ff0bdc3dc4c Revamp geometry functions dependent on Qhull (Bug #34604, Bug #33346) Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	125
19172 4318cb91deac delaunayn.m: Slight performance increase and addition of BIST tests. Rik <rik@octave.org> parents: 19164 diff changeset	126 %!testif HAVE_QHULL
4318cb91deac delaunayn.m: Slight performance increase and addition of BIST tests. Rik <rik@octave.org> parents: 19164 diff changeset	127 %! x = [-1, 0; 0, 1; 1, 0; 0, -1; 0, 0];
4318cb91deac delaunayn.m: Slight performance increase and addition of BIST tests. Rik <rik@octave.org> parents: 19164 diff changeset	128 %! assert (sortrows (sort (delaunayn (x), 2)), [1,2,5;1,4,5;2,3,5;3,4,5]);
4318cb91deac delaunayn.m: Slight performance increase and addition of BIST tests. Rik <rik@octave.org> parents: 19164 diff changeset	129
4318cb91deac delaunayn.m: Slight performance increase and addition of BIST tests. Rik <rik@octave.org> parents: 19164 diff changeset	130 ## Test 3-D input
4318cb91deac delaunayn.m: Slight performance increase and addition of BIST tests. Rik <rik@octave.org> parents: 19164 diff changeset	131 %!testif HAVE_QHULL
4318cb91deac delaunayn.m: Slight performance increase and addition of BIST tests. Rik <rik@octave.org> parents: 19164 diff changeset	132 %! x = [-1, -1, 1, 0, -1]; y = [-1, 1, 1, 0, -1]; z = [0, 0, 0, 1, 1];
21580 ecce63c99c3f maint: Add semicolons to terminate code in %! blocks. Rik <rik@octave.org> parents: 21546 diff changeset	133 %! assert (sortrows (sort (delaunayn ([x(:) y(:) z(:)]), 2)), [1,2,3,4;1,2,4,5]);
19172 4318cb91deac delaunayn.m: Slight performance increase and addition of BIST tests. Rik <rik@octave.org> parents: 19164 diff changeset	134
19833 9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions. Rik <rik@octave.org> parents: 19697 diff changeset	135 ## FIXME: Need tests for delaunayn
13746 7ff0bdc3dc4c Revamp geometry functions dependent on Qhull (Bug #34604, Bug #33346) Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	136
19833 9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions. Rik <rik@octave.org> parents: 19697 diff changeset	137 ## Input validation tests
19172 4318cb91deac delaunayn.m: Slight performance increase and addition of BIST tests. Rik <rik@octave.org> parents: 19164 diff changeset	138 %!error delaunayn ()

Mercurial > octave

annotate scripts/geometry/delaunayn.m @ 28714:d8dcb36bb904 stable