Mercurial > hg > octave-nkf

annotate scripts/geometry/griddata3.m @ 8362:03b414516dd8

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
clean up bzip2, gzip and __xzip__
author Thorsten Meyer <thorsten.meyier@gmx.de>
date Sat, 29 Nov 2008 23:03:16 +0100
parents ec0a13863eb7
children eb63fbe60fab
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
7017
a1dbe9d80eee [project @ 2007-10-12 21:27:11 by jwe]
jwe
parents: 7016
diff changeset
1 ## Copyright (C) 2007 David Bateman
6823
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
2 ##
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
3 ## This file is part of Octave.
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
4 ##
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
5 ## Octave is free software; you can redistribute it and/or modify it
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
6 ## under the terms of the GNU General Public License as published by
7016
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
jwe
parents: 6826
diff changeset
7 ## the Free Software Foundation; either version 3 of the License, or (at
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
jwe
parents: 6826
diff changeset
8 ## your option) any later version.
6823
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
9 ##
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
10 ## 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
11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
13 ## General Public License for more details.
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 ## 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: 6826
diff changeset
16 ## along with Octave; see the file COPYING. If not, see
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
jwe
parents: 6826
diff changeset
17 ## <http://www.gnu.org/licenses/>.
6823
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
18
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
19 ## -*- texinfo -*-
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
20 ## @deftypefn {Function File} {@var{vi} =} griddata3 (@var{x}, @var{y}, @var{z}, @var{v} @var{xi}, @var{yi}, @var{zi}, @var{method}, @var{options})
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
21 ##
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
22 ## Generate a regular mesh from irregular data using interpolation.
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
23 ## The function is defined by @code{@var{y} = f (@var{x},@var{y},@var{z})}.
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
24 ## The interpolation points are all @var{xi}.
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
25 ##
6826
8618f29520c6 [project @ 2007-08-24 16:02:07 by jwe]
jwe
parents: 6823
diff changeset
26 ## The interpolation method can be @code{"nearest"} or @code{"linear"}.
8618f29520c6 [project @ 2007-08-24 16:02:07 by jwe]
jwe
parents: 6823
diff changeset
27 ## If method is omitted it defaults to @code{"linear"}.
6823
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
28 ## @seealso{griddata, delaunayn}
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
29 ## @end deftypefn
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
30
7017
a1dbe9d80eee [project @ 2007-10-12 21:27:11 by jwe]
jwe
parents: 7016
diff changeset
31 ## Author: David Bateman <dbateman@free.fr>
a1dbe9d80eee [project @ 2007-10-12 21:27:11 by jwe]
jwe
parents: 7016
diff changeset
32
7585
522433b05f45 Fix griddata3 and add test code
David Bateman <dbateman@free.fr>
parents: 7418
diff changeset
33 function vi = griddata3 (x, y, z, v, xi, yi, zi, method, varargin)
6823
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
34
6826
8618f29520c6 [project @ 2007-08-24 16:02:07 by jwe]
jwe
parents: 6823
diff changeset
35 if (nargin < 7)
8618f29520c6 [project @ 2007-08-24 16:02:07 by jwe]
jwe
parents: 6823
diff changeset
36 print_usage ();
6823
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
37 endif
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
38
6826
8618f29520c6 [project @ 2007-08-24 16:02:07 by jwe]
jwe
parents: 6823
diff changeset
39 if (!all (size (x) == size (y) & size (x) == size(z) & size(x) == size (v)))
8618f29520c6 [project @ 2007-08-24 16:02:07 by jwe]
jwe
parents: 6823
diff changeset
40 error ("griddata3: x, y, z, and v must be vectors of same length");
6823
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
41 endif
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
42
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
43 ## meshgrid xi, yi and zi if they are vectors unless they
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
44 ## are vectors of the same length
6826
8618f29520c6 [project @ 2007-08-24 16:02:07 by jwe]
jwe
parents: 6823
diff changeset
45 if (isvector (xi) && isvector (yi) && isvector (zi)
8618f29520c6 [project @ 2007-08-24 16:02:07 by jwe]
jwe
parents: 6823
diff changeset
46 && (numel (xi) != numel (yi) || numel (xi) != numel (zi)))
8618f29520c6 [project @ 2007-08-24 16:02:07 by jwe]
jwe
parents: 6823
diff changeset
47 [xi, yi, zi] = meshgrid (xi, yi, zi);
6823
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
48 endif
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
49
6826
8618f29520c6 [project @ 2007-08-24 16:02:07 by jwe]
jwe
parents: 6823
diff changeset
50 if (any (size(xi) != size(yi)) || any (size(xi) != size(zi)))
7585
522433b05f45 Fix griddata3 and add test code
David Bateman <dbateman@free.fr>
parents: 7418
diff changeset
51 error ("griddata3: xi, yi and zi must be vectors or matrices of same size");
6823
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
52 endif
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
53
7585
522433b05f45 Fix griddata3 and add test code
David Bateman <dbateman@free.fr>
parents: 7418
diff changeset
54 vi = griddatan ([x(:), y(:), z(:)], v(:), [xi(:), yi(:), zi(:)], varargin{:});
6826
8618f29520c6 [project @ 2007-08-24 16:02:07 by jwe]
jwe
parents: 6823
diff changeset
55 vi = reshape (vi, size (xi));
6823
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
56 endfunction
9fddcc586065 [project @ 2007-08-24 08:27:27 by dbateman]
dbateman
parents:
diff changeset
57
8153
ec0a13863eb7 Only run tests that depend on HDF5 and QHull if Octave was actually
Soren Hauberg <hauberg@gmail.com>
parents: 7585
diff changeset
58 %!testif HAVE_QHULL
7585
522433b05f45 Fix griddata3 and add test code
David Bateman <dbateman@free.fr>
parents: 7418
diff changeset
59 %! rand('state', 0);
522433b05f45 Fix griddata3 and add test code
David Bateman <dbateman@free.fr>
parents: 7418
diff changeset
60 %! x = 2 * rand(1000, 1) - 1;
522433b05f45 Fix griddata3 and add test code
David Bateman <dbateman@free.fr>
parents: 7418
diff changeset
61 %! y = 2 * rand(1000, 1) - 1;
522433b05f45 Fix griddata3 and add test code
David Bateman <dbateman@free.fr>
parents: 7418
diff changeset
62 %! z = 2 * rand(1000, 1) - 1;
522433b05f45 Fix griddata3 and add test code
David Bateman <dbateman@free.fr>
parents: 7418
diff changeset
63 %! v = x.^2 + y.^2 + z.^2;
522433b05f45 Fix griddata3 and add test code
David Bateman <dbateman@free.fr>
parents: 7418
diff changeset
64 %! [xi, yi, zi] = meshgrid (-0.8:0.2:0.8);
522433b05f45 Fix griddata3 and add test code
David Bateman <dbateman@free.fr>
parents: 7418
diff changeset
65 %! ##vi = reshape (griddatan([x(:), y(:), z(:)], v, [xi(:), yi(:), zi(:)], 'linear'), size (xi));
522433b05f45 Fix griddata3 and add test code
David Bateman <dbateman@free.fr>
parents: 7418
diff changeset
66 %! vi = griddata3 (x, y, z, v, xi, yi, zi, 'linear');
522433b05f45 Fix griddata3 and add test code
David Bateman <dbateman@free.fr>
parents: 7418
diff changeset
67 %! vv = vi - xi.^2 - yi.^2 - zi.^2;
522433b05f45 Fix griddata3 and add test code
David Bateman <dbateman@free.fr>
parents: 7418
diff changeset
68 %! assert (max(abs(vv(:))), 0, 0.1)
522433b05f45 Fix griddata3 and add test code
David Bateman <dbateman@free.fr>
parents: 7418
diff changeset
69
8153
ec0a13863eb7 Only run tests that depend on HDF5 and QHull if Octave was actually
Soren Hauberg <hauberg@gmail.com>
parents: 7585
diff changeset
70 %!testif HAVE_QHULL
7585
522433b05f45 Fix griddata3 and add test code
David Bateman <dbateman@free.fr>
parents: 7418
diff changeset
71 %! rand('state', 0);
522433b05f45 Fix griddata3 and add test code
David Bateman <dbateman@free.fr>
parents: 7418
diff changeset
72 %! x = 2 * rand(1000, 1) - 1;
522433b05f45 Fix griddata3 and add test code
David Bateman <dbateman@free.fr>
parents: 7418
diff changeset
73 %! y = 2 * rand(1000, 1) - 1;
522433b05f45 Fix griddata3 and add test code
David Bateman <dbateman@free.fr>
parents: 7418
diff changeset
74 %! z = 2 * rand(1000, 1) - 1;
522433b05f45 Fix griddata3 and add test code
David Bateman <dbateman@free.fr>
parents: 7418
diff changeset
75 %! v = x.^2 + y.^2 + z.^2;
522433b05f45 Fix griddata3 and add test code
David Bateman <dbateman@free.fr>
parents: 7418
diff changeset
76 %! [xi, yi, zi] = meshgrid (-0.8:0.2:0.8);
522433b05f45 Fix griddata3 and add test code
David Bateman <dbateman@free.fr>
parents: 7418
diff changeset
77 %! ##vi = reshape (griddatan([x(:), y(:), z(:)], v, [xi(:), yi(:), zi(:)], 'linear'), size (xi));
522433b05f45 Fix griddata3 and add test code
David Bateman <dbateman@free.fr>
parents: 7418
diff changeset
78 %! vi = griddata3 (x, y, z, v, xi, yi, zi, 'nearest');
522433b05f45 Fix griddata3 and add test code
David Bateman <dbateman@free.fr>
parents: 7418
diff changeset
79 %! vv = vi - xi.^2 - yi.^2 - zi.^2;
522433b05f45 Fix griddata3 and add test code
David Bateman <dbateman@free.fr>
parents: 7418
diff changeset
80 %! assert (max(abs(vv(:))), 0, 0.1)