octave-antonio: scripts/general/interpn.m annotate

annotate scripts/general/interpn.m @ 17744:d63878346099

maint: Update copyright notices for release.

author	John W. Eaton <jwe@octave.org>
date	Wed, 23 Oct 2013 22:09:27 -0400
parents	bc924baa2c4e
children	5cf9a02732b6

rev	line source
17744 d63878346099 maint: Update copyright notices for release. John W. Eaton <jwe@octave.org> parents: 17281 diff changeset	1 ## Copyright (C) 2007-2013 David Bateman
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	2 ##
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	3 ## This file is part of Octave.
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	4 ##
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	5 ## Octave is free software; you can redistribute it and/or modify it
b2391d403ed2 [project @ 2007-06-12 21:39:26 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: 7001 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: 7001 diff changeset	8 ## your option) any later version.
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	9 ##
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	10 ## Octave is distributed in the hope that it will be useful, but
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	13 ## General Public License for more details.
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	14 ##
b2391d403ed2 [project @ 2007-06-12 21:39:26 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: 7001 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: 7001 diff changeset	17 ## <http://www.gnu.org/licenses/>.
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	18
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	19 ## -- texinfo --
10846 a4f482e66b65 Grammarcheck more of the documentation. Rik <octave@nomad.inbox5.com> parents: 10821 diff changeset	20 ## @deftypefn {Function File} {@var{vi} =} interpn (@var{x1}, @var{x2}, @dots{}, @var{v}, @var{y1}, @var{y2}, @dots{})
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	21 ## @deftypefnx {Function File} {@var{vi} =} interpn (@var{v}, @var{y1}, @var{y2}, @dots{})
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	22 ## @deftypefnx {Function File} {@var{vi} =} interpn (@var{v}, @var{m})
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	23 ## @deftypefnx {Function File} {@var{vi} =} interpn (@var{v})
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	24 ## @deftypefnx {Function File} {@var{vi} =} interpn (@dots{}, @var{method})
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	25 ## @deftypefnx {Function File} {@var{vi} =} interpn (@dots{}, @var{method}, @var{extrapval})
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	26 ##
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	27 ## Perform @var{n}-dimensional interpolation, where @var{n} is at least two.
c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	28 ## Each element of the @var{n}-dimensional array @var{v} represents a value
c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	29 ## at a location given by the parameters @var{x1}, @var{x2}, @dots{}, @var{xn}.
c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	30 ## The parameters @var{x1}, @var{x2}, @dots{}, @var{xn} are either
c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	31 ## @var{n}-dimensional arrays of the same size as the array @var{v} in
17281 bc924baa2c4e doc: Add new @qcode macro for code samples which are quoted. Rik <rik@octave.org> parents: 16891 diff changeset	32 ## the @qcode{"ndgrid"} format or vectors. The parameters @var{y1}, etc.
bc924baa2c4e doc: Add new @qcode macro for code samples which are quoted. Rik <rik@octave.org> parents: 16891 diff changeset	33 ## respect a similar format to @var{x1}, etc., and they represent the points
bc924baa2c4e doc: Add new @qcode macro for code samples which are quoted. Rik <rik@octave.org> parents: 16891 diff changeset	34 ## at which the array @var{vi} is interpolated.
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	35 ##
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	36 ## If @var{x1}, @dots{}, @var{xn} are omitted, they are assumed to be
9051 1bf0ce0930be Grammar check TexInfo in all .m files Rik <rdrider0-list@yahoo.com> parents: 8920 diff changeset	37 ## @code{x1 = 1 : size (@var{v}, 1)}, etc. If @var{m} is specified, then
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	38 ## the interpolation adds a point half way between each of the interpolation
c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	39 ## points. This process is performed @var{m} times. If only @var{v} is
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	40 ## specified, then @var{m} is assumed to be @code{1}.
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	41 ##
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	42 ## Method is one of:
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	43 ##
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	44 ## @table @asis
17281 bc924baa2c4e doc: Add new @qcode macro for code samples which are quoted. Rik <rik@octave.org> parents: 16891 diff changeset	45 ## @item @qcode{"nearest"}
9070 e9dc2ed2ec0f Cleanup documentation for poly.texi, interp.texi, geometry.texi Rik <rdrider0-list@yahoo.com> parents: 9051 diff changeset	46 ## Return the nearest neighbor.
10821 693e22af08ae Grammarcheck documentation of m-files Rik <octave@nomad.inbox5.com> parents: 10819 diff changeset	47 ##
17281 bc924baa2c4e doc: Add new @qcode macro for code samples which are quoted. Rik <rik@octave.org> parents: 16891 diff changeset	48 ## @item @qcode{"linear"}
9070 e9dc2ed2ec0f Cleanup documentation for poly.texi, interp.texi, geometry.texi Rik <rdrider0-list@yahoo.com> parents: 9051 diff changeset	49 ## Linear interpolation from nearest neighbors.
10821 693e22af08ae Grammarcheck documentation of m-files Rik <octave@nomad.inbox5.com> parents: 10819 diff changeset	50 ##
17281 bc924baa2c4e doc: Add new @qcode macro for code samples which are quoted. Rik <rik@octave.org> parents: 16891 diff changeset	51 ## @item @qcode{"cubic"}
9070 e9dc2ed2ec0f Cleanup documentation for poly.texi, interp.texi, geometry.texi Rik <rdrider0-list@yahoo.com> parents: 9051 diff changeset	52 ## Cubic interpolation from four nearest neighbors (not implemented yet).
10821 693e22af08ae Grammarcheck documentation of m-files Rik <octave@nomad.inbox5.com> parents: 10819 diff changeset	53 ##
17281 bc924baa2c4e doc: Add new @qcode macro for code samples which are quoted. Rik <rik@octave.org> parents: 16891 diff changeset	54 ## @item @qcode{"spline"}
12175 2090995ca588 Correct en-dash,em-dash instances in docstrings. Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	55 ## Cubic spline interpolation---smooth first and second derivatives
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	56 ## throughout the curve.
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	57 ## @end table
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	58 ##
17281 bc924baa2c4e doc: Add new @qcode macro for code samples which are quoted. Rik <rik@octave.org> parents: 16891 diff changeset	59 ## The default method is @qcode{"linear"}.
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	60 ##
8116 6c69f5cda32b For for extrapval in interpn Kris Thielemans parents: 7671 diff changeset	61 ## If @var{extrapval} is the scalar value, use it to replace the values
9051 1bf0ce0930be Grammar check TexInfo in all .m files Rik <rdrider0-list@yahoo.com> parents: 8920 diff changeset	62 ## beyond the endpoints with that number. If @var{extrapval} is missing,
8116 6c69f5cda32b For for extrapval in interpn Kris Thielemans parents: 7671 diff changeset	63 ## assume NA.
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	64 ## @seealso{interp1, interp2, spline, ndgrid}
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	65 ## @end deftypefn
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	66
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	67 function vi = interpn (varargin)
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	68
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	69 method = "linear";
6742 ebf96cc00ee9 [project @ 2007-06-18 16:27:52 by jwe] jwe parents: 6722 diff changeset	70 extrapval = NA;
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	71 nargs = nargin;
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	72
13151 e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	73 if (nargin < 1 \|\| ! isnumeric (varargin{1}))
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	74 print_usage ();
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	75 endif
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	76
7208 a730e47fda4d [project @ 2007-11-28 02:32:41 by jwe] jwe parents: 7016 diff changeset	77 if (ischar (varargin{end}))
a730e47fda4d [project @ 2007-11-28 02:32:41 by jwe] jwe parents: 7016 diff changeset	78 method = varargin{end};
16891 486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	79 nargs -= 1;
13151 e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	80 elseif (nargs > 1 && ischar (varargin{end - 1}))
7208 a730e47fda4d [project @ 2007-11-28 02:32:41 by jwe] jwe parents: 7016 diff changeset	81 if (! isnumeric (varargin{end}) \|\| ! isscalar (varargin{end}))
10635 d1978e7364ad Print name of function in error() string messages. Rik <octave@nomad.inbox5.com> parents: 10549 diff changeset	82 error ("interpn: extrapal is expected to be a numeric scalar");
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	83 endif
7208 a730e47fda4d [project @ 2007-11-28 02:32:41 by jwe] jwe parents: 7016 diff changeset	84 method = varargin{end - 1};
8116 6c69f5cda32b For for extrapval in interpn Kris Thielemans parents: 7671 diff changeset	85 extrapval = varargin{end};
16891 486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	86 nargs -= 2;
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	87 endif
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	88
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	89 if (nargs < 3)
7208 a730e47fda4d [project @ 2007-11-28 02:32:41 by jwe] jwe parents: 7016 diff changeset	90 v = varargin{1};
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	91 m = 1;
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	92 if (nargs == 2)
13151 e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	93 if (ischar (varargin{2}))
e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	94 method = varargin{2};
13161 6b6d0e51bd2f scripts/general/interpn.m: fix(m)==m is faster than round(m)==m Ben Abbott <bpabbott@mac.com> parents: 13151 diff changeset	95 elseif (isnumeric (m) && isscalar (m) && fix (m) == m)
13151 e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	96 m = varargin{2};
e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	97 else
e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	98 print_usage ();
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	99 endif
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	100 endif
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	101 sz = size (v);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	102 nd = ndims (v);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	103 x = cell (1, nd);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	104 y = cell (1, nd);
16891 486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	105 for i = 1 : nd
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	106 x{i} = 1 : sz(i);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	107 y{i} = 1 : (1 / (2 ^ m)) : sz(i);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	108 endfor
13151 e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	109 y{1} = y{1}.';
e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	110 [y{:}] = ndgrid (y{:});
7208 a730e47fda4d [project @ 2007-11-28 02:32:41 by jwe] jwe parents: 7016 diff changeset	111 elseif (! isvector (varargin{1}) && nargs == (ndims (varargin{1}) + 1))
a730e47fda4d [project @ 2007-11-28 02:32:41 by jwe] jwe parents: 7016 diff changeset	112 v = varargin{1};
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	113 sz = size (v);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	114 nd = ndims (v);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	115 x = cell (1, nd);
16891 486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	116 y = varargin(2 : nargs);
486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	117 for i = 1 : nd
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	118 x{i} = 1 : sz(i);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	119 endfor
16891 486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	120 elseif (rem (nargs, 2) == 1
486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	121 && nargs == (2 * ndims (varargin{ceil (nargs / 2)})) + 1)
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	122 nv = ceil (nargs / 2);
7208 a730e47fda4d [project @ 2007-11-28 02:32:41 by jwe] jwe parents: 7016 diff changeset	123 v = varargin{nv};
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	124 sz = size (v);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	125 nd = ndims (v);
16891 486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	126 x = varargin(1 : (nv - 1));
486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	127 y = varargin((nv + 1) : nargs);
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	128 else
10635 d1978e7364ad Print name of function in error() string messages. Rik <octave@nomad.inbox5.com> parents: 10549 diff changeset	129 error ("interpn: wrong number or incorrectly formatted input arguments");
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	130 endif
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	131
12931 cefd568ea073 Replace function handles with function names in cellfun calls for 15% speedup. Rik <octave@nomad.inbox5.com> parents: 12175 diff changeset	132 if (any (! cellfun ("isvector", x)))
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	133 for i = 2 : nd
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	134 if (! size_equal (x{1}, x{i}) \|\| ! size_equal (x{i}, v))
10635 d1978e7364ad Print name of function in error() string messages. Rik <octave@nomad.inbox5.com> parents: 10549 diff changeset	135 error ("interpn: dimensional mismatch");
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	136 endif
16891 486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	137 idx(1 : nd) = {1};
486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	138 idx(i) = ":";
6721 01036667884a [project @ 2007-06-14 06:56:41 by dbateman] dbateman parents: 6702 diff changeset	139 x{i} = x{i}(idx{:})(:);
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	140 endfor
16891 486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	141 idx(1 : nd) = {1};
486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	142 idx(1) = ":";
6721 01036667884a [project @ 2007-06-14 06:56:41 by dbateman] dbateman parents: 6702 diff changeset	143 x{1} = x{1}(idx{:})(:);
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	144 endif
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	145
7421 1c7b3e1fda19 [project @ 2008-01-25 21:00:42 by dbateman] dbateman parents: 7208 diff changeset	146 method = tolower (method);
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	147
12931 cefd568ea073 Replace function handles with function names in cellfun calls for 15% speedup. Rik <octave@nomad.inbox5.com> parents: 12175 diff changeset	148 all_vectors = all (cellfun ("isvector", y));
cefd568ea073 Replace function handles with function names in cellfun calls for 15% speedup. Rik <octave@nomad.inbox5.com> parents: 12175 diff changeset	149 different_lengths = numel (unique (cellfun ("numel", y))) > 1;
10819 f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays. Ben Abbott <bpabbott@mac.com> parents: 10793 diff changeset	150 if (all_vectors && different_lengths)
f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays. Ben Abbott <bpabbott@mac.com> parents: 10793 diff changeset	151 [foobar(1:numel(y)).y] = ndgrid (y{:});
f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays. Ben Abbott <bpabbott@mac.com> parents: 10793 diff changeset	152 y = {foobar.y};
f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays. Ben Abbott <bpabbott@mac.com> parents: 10793 diff changeset	153 endif
f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays. Ben Abbott <bpabbott@mac.com> parents: 10793 diff changeset	154
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	155 if (strcmp (method, "linear"))
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	156 vi = __lin_interpn__ (x{:}, v, y{:});
16891 486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	157 vi(isna (vi)) = extrapval;
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	158 elseif (strcmp (method, "nearest"))
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	159 yshape = size (y{1});
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	160 yidx = cell (1, nd);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	161 for i = 1 : nd
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	162 y{i} = y{i}(:);
7671 4fbaba9abec1 implement compiled binary lookup Jaroslav Hajek <highegg@gmail.com> parents: 7561 diff changeset	163 yidx{i} = lookup (x{i}, y{i}, "lr");
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	164 endfor
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	165 idx = cell (1,nd);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	166 for i = 1 : nd
10819 f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays. Ben Abbott <bpabbott@mac.com> parents: 10793 diff changeset	167 idx{i} = yidx{i} + (y{i} - x{i}(yidx{i})(:) >= x{i}(yidx{i} + 1)(:) - y{i});
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	168 endfor
16891 486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	169 vi = v(sub2ind (sz, idx{:}));
10819 f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays. Ben Abbott <bpabbott@mac.com> parents: 10793 diff changeset	170 idx = zeros (prod (yshape), 1);
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	171 for i = 1 : nd
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	172 idx \|= y{i} < min (x{i}(:)) \| y{i} > max (x{i}(:));
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	173 endfor
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	174 vi(idx) = extrapval;
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	175 vi = reshape (vi, yshape);
6721 01036667884a [project @ 2007-06-14 06:56:41 by dbateman] dbateman parents: 6702 diff changeset	176 elseif (strcmp (method, "spline"))
12931 cefd568ea073 Replace function handles with function names in cellfun calls for 15% speedup. Rik <octave@nomad.inbox5.com> parents: 12175 diff changeset	177 if (any (! cellfun ("isvector", y)))
7423 342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman] dbateman parents: 7421 diff changeset	178 for i = 2 : nd
10549 95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 10427 diff changeset	179 if (! size_equal (y{1}, y{i}))
10635 d1978e7364ad Print name of function in error() string messages. Rik <octave@nomad.inbox5.com> parents: 10549 diff changeset	180 error ("interpn: dimensional mismatch");
10549 95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 10427 diff changeset	181 endif
16891 486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	182 idx(1 : nd) = {1};
486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	183 idx(i) = ":";
10549 95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 10427 diff changeset	184 y{i} = y{i}(idx{:});
7423 342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman] dbateman parents: 7421 diff changeset	185 endfor
16891 486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	186 idx(1 : nd) = {1};
486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	187 idx(1) = ":";
7423 342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman] dbateman parents: 7421 diff changeset	188 y{1} = y{1}(idx{:});
342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman] dbateman parents: 7421 diff changeset	189 endif
7421 1c7b3e1fda19 [project @ 2008-01-25 21:00:42 by dbateman] dbateman parents: 7208 diff changeset	190
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	191 vi = __splinen__ (x, v, y, extrapval, "interpn");
7421 1c7b3e1fda19 [project @ 2008-01-25 21:00:42 by dbateman] dbateman parents: 7208 diff changeset	192
7423 342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman] dbateman parents: 7421 diff changeset	193 if (size_equal (y{:}))
342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman] dbateman parents: 7421 diff changeset	194 ly = length (y{1});
342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman] dbateman parents: 7421 diff changeset	195 idx = cell (1, ly);
342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman] dbateman parents: 7421 diff changeset	196 q = cell (1, nd);
342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman] dbateman parents: 7421 diff changeset	197 for i = 1 : ly
10549 95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 10427 diff changeset	198 q(:) = i;
16891 486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	199 idx{i} = q;
7423 342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman] dbateman parents: 7421 diff changeset	200 endfor
16891 486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	201 vi = vi(cellfun (@(x) sub2ind (size (vi), x{:}), idx));
14868 5d3a684236b0 maint: Use Octave coding conventions for cuddling parentheses in scripts directory Rik <octave@nomad.inbox5.com> parents: 14363 diff changeset	202 vi = reshape (vi, size (y{1}));
7423 342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman] dbateman parents: 7421 diff changeset	203 endif
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	204 elseif (strcmp (method, "cubic"))
10635 d1978e7364ad Print name of function in error() string messages. Rik <octave@nomad.inbox5.com> parents: 10549 diff changeset	205 error ("interpn: cubic interpolation not yet implemented");
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	206 else
11472 1740012184f9 Use uppercase for variable names in error() strings to match Info documentation. Only m-files done. Rik <octave@nomad.inbox5.com> parents: 10846 diff changeset	207 error ("interpn: unrecognized interpolation METHOD");
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	208 endif
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	209
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	210 endfunction
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	211
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	212
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	213 %!demo
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	214 %! clf;
14247 c4fa5e0b6193 test: Make surface demos reproducible by setting colormap to default at start of demo. Rik <octave@nomad.inbox5.com> parents: 14237 diff changeset	215 %! colormap ("default");
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	216 %! A = [13,-1,12;5,4,3;1,6,2];
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14359 diff changeset	217 %! x = [0,1,4]; y = [10,11,12];
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14359 diff changeset	218 %! xi = linspace (min (x), max (x), 17);
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14359 diff changeset	219 %! yi = linspace (min (y), max (y), 26)';
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	220 %! mesh (xi, yi, interpn (x,y,A.',xi,yi, "linear").');
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	221 %! [x,y] = meshgrid (x,y);
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	222 %! hold on; plot3 (x(:),y(:),A(:),"b*"); hold off;
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	223
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	224 %!demo
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	225 %! clf;
14247 c4fa5e0b6193 test: Make surface demos reproducible by setting colormap to default at start of demo. Rik <octave@nomad.inbox5.com> parents: 14237 diff changeset	226 %! colormap ("default");
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	227 %! A = [13,-1,12;5,4,3;1,6,2];
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14359 diff changeset	228 %! x = [0,1,4]; y = [10,11,12];
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14359 diff changeset	229 %! xi = linspace (min (x), max (x), 17);
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14359 diff changeset	230 %! yi = linspace (min (y), max (y), 26)';
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	231 %! mesh (xi, yi, interpn (x,y,A.',xi,yi, "nearest").');
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	232 %! [x,y] = meshgrid (x,y);
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	233 %! hold on; plot3 (x(:),y(:),A(:),"b*"); hold off;
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	234
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	235 %!#demo # FIXME: Uncomment when support for "cubic" has been added
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	236 %! clf;
14247 c4fa5e0b6193 test: Make surface demos reproducible by setting colormap to default at start of demo. Rik <octave@nomad.inbox5.com> parents: 14237 diff changeset	237 %! colormap ("default");
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	238 %! A = [13,-1,12;5,4,3;1,6,2];
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14359 diff changeset	239 %! x = [0,1,2]; y = [10,11,12];
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14359 diff changeset	240 %! xi = linspace (min (x), max (x), 17);
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14359 diff changeset	241 %! yi = linspace (min (y), max (y), 26)';
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	242 %! mesh (xi, yi, interpn (x,y,A.',xi,yi, "cubic").');
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	243 %! [x,y] = meshgrid (x,y);
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	244 %! hold on; plot3 (x(:),y(:),A(:),"b*"); hold off;
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	245
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	246 %!demo
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	247 %! clf;
14247 c4fa5e0b6193 test: Make surface demos reproducible by setting colormap to default at start of demo. Rik <octave@nomad.inbox5.com> parents: 14237 diff changeset	248 %! colormap ("default");
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	249 %! A = [13,-1,12;5,4,3;1,6,2];
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14359 diff changeset	250 %! x = [0,1,2]; y = [10,11,12];
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14359 diff changeset	251 %! xi = linspace (min (x), max (x), 17);
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14359 diff changeset	252 %! yi = linspace (min (y), max (y), 26)';
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	253 %! mesh (xi, yi, interpn (x,y,A.',xi,yi, "spline").');
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	254 %! [x,y] = meshgrid (x,y);
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	255 %! hold on; plot3 (x(:),y(:),A(:),"b*"); hold off;
6721 01036667884a [project @ 2007-06-14 06:56:41 by dbateman] dbateman parents: 6702 diff changeset	256
01036667884a [project @ 2007-06-14 06:56:41 by dbateman] dbateman parents: 6702 diff changeset	257 %!demo
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	258 %! clf;
14247 c4fa5e0b6193 test: Make surface demos reproducible by setting colormap to default at start of demo. Rik <octave@nomad.inbox5.com> parents: 14237 diff changeset	259 %! colormap ("default");
6721 01036667884a [project @ 2007-06-14 06:56:41 by dbateman] dbateman parents: 6702 diff changeset	260 %! x = y = z = -1:1;
01036667884a [project @ 2007-06-14 06:56:41 by dbateman] dbateman parents: 6702 diff changeset	261 %! f = @(x,y,z) x.^2 - y - z.^2;
01036667884a [project @ 2007-06-14 06:56:41 by dbateman] dbateman parents: 6702 diff changeset	262 %! [xx, yy, zz] = meshgrid (x, y, z);
01036667884a [project @ 2007-06-14 06:56:41 by dbateman] dbateman parents: 6702 diff changeset	263 %! v = f (xx,yy,zz);
01036667884a [project @ 2007-06-14 06:56:41 by dbateman] dbateman parents: 6702 diff changeset	264 %! xi = yi = zi = -1:0.1:1;
01036667884a [project @ 2007-06-14 06:56:41 by dbateman] dbateman parents: 6702 diff changeset	265 %! [xxi, yyi, zzi] = ndgrid (xi, yi, zi);
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14359 diff changeset	266 %! vi = interpn (x, y, z, v, xxi, yyi, zzi, "spline");
6721 01036667884a [project @ 2007-06-14 06:56:41 by dbateman] dbateman parents: 6702 diff changeset	267 %! mesh (yi, zi, squeeze (vi(1,:,:)));
01036667884a [project @ 2007-06-14 06:56:41 by dbateman] dbateman parents: 6702 diff changeset	268
7421 1c7b3e1fda19 [project @ 2008-01-25 21:00:42 by dbateman] dbateman parents: 7208 diff changeset	269 %!test
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	270 %! [x,y,z] = ndgrid (0:2);
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	271 %! f = x + y + z;
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	272 %! assert (interpn (x,y,z,f,[.5 1.5],[.5 1.5],[.5 1.5]), [1.5, 4.5]);
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	273 %! assert (interpn (x,y,z,f,[.51 1.51],[.51 1.51],[.51 1.51],"nearest"), [3, 6]);
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	274 %! assert (interpn (x,y,z,f,[.5 1.5],[.5 1.5],[.5 1.5],"spline"), [1.5, 4.5]);
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	275 %! assert (interpn (x,y,z,f,x,y,z), f);
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	276 %! assert (interpn (x,y,z,f,x,y,z,"nearest"), f);
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	277 %! assert (interpn (x,y,z,f,x,y,z,"spline"), f);
7561 a938cd7869b2 __lin_interpn__.cc: handle decreasing coordinate values Alexander Barth parents: 7424 diff changeset	278
a938cd7869b2 __lin_interpn__.cc: handle decreasing coordinate values Alexander Barth parents: 7424 diff changeset	279 %!test
10819 f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays. Ben Abbott <bpabbott@mac.com> parents: 10793 diff changeset	280 %! [x, y, z] = ndgrid (0:2, 1:4, 2:6);
f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays. Ben Abbott <bpabbott@mac.com> parents: 10793 diff changeset	281 %! f = x + y + z;
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	282 %! xi = [0.5 1.0 1.5]; yi = [1.5 2.0 2.5 3.5]; zi = [2.5 3.5 4.0 5.0 5.5];
10819 f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays. Ben Abbott <bpabbott@mac.com> parents: 10793 diff changeset	283 %! fi = interpn (x, y, z, f, xi, yi, zi);
f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays. Ben Abbott <bpabbott@mac.com> parents: 10793 diff changeset	284 %! [xi, yi, zi] = ndgrid (xi, yi, zi);
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	285 %! assert (fi, xi + yi + zi);
10819 f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays. Ben Abbott <bpabbott@mac.com> parents: 10793 diff changeset	286
f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays. Ben Abbott <bpabbott@mac.com> parents: 10793 diff changeset	287 %!test
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	288 %! xi = 0:2; yi = 1:4; zi = 2:6;
10819 f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays. Ben Abbott <bpabbott@mac.com> parents: 10793 diff changeset	289 %! [x, y, z] = ndgrid (xi, yi, zi);
f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays. Ben Abbott <bpabbott@mac.com> parents: 10793 diff changeset	290 %! f = x + y + z;
f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays. Ben Abbott <bpabbott@mac.com> parents: 10793 diff changeset	291 %! fi = interpn (x, y, z, f, xi, yi, zi, "nearest");
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	292 %! assert (fi, x + y + z);
10819 f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays. Ben Abbott <bpabbott@mac.com> parents: 10793 diff changeset	293
f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays. Ben Abbott <bpabbott@mac.com> parents: 10793 diff changeset	294 %!test
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	295 %! [x,y,z] = ndgrid (0:2);
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	296 %! f = x.^2 + y.^2 + z.^2;
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	297 %! assert (interpn (x,y,-z,f,1.5,1.5,-1.5), 7.5);
10427 62bb59f927b1 scripts/general/interp2.m, scripts/general/interpn.m: For nearest neighbour interpolation ceil (instead of floor) at the center of the data intervals to be compatible with Matlab. Add test. Soren Hauberg <hauberg@gmail.com> parents: 9245 diff changeset	298
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	299 %!test # for Matlab-compatible rounding for "nearest"
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	300 %! x = meshgrid (1:4);
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	301 %! assert (interpn (x, 2.5, 2.5, "nearest"), 3);
10427 62bb59f927b1 scripts/general/interp2.m, scripts/general/interpn.m: For nearest neighbour interpolation ceil (instead of floor) at the center of the data intervals to be compatible with Matlab. Add test. Soren Hauberg <hauberg@gmail.com> parents: 9245 diff changeset	302
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	303 %!test
13151 e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	304 %! z = zeros (3, 3, 3);
e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	305 %! zout = zeros (5, 5, 5);
e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	306 %! z(:,:,1) = [1 3 5; 3 5 7; 5 7 9];
e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	307 %! z(:,:,2) = z(:,:,1) + 2;
e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	308 %! z(:,:,3) = z(:,:,2) + 2;
e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	309 %! for n = 1:5
e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	310 %! zout(:,:,n) = [1 2 3 4 5;
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	311 %! 2 3 4 5 6;
13151 e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	312 %! 3 4 5 6 7;
e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	313 %! 4 5 6 7 8;
e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	314 %! 5 6 7 8 9] + (n-1);
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	315 %! endfor
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	316 %! tol = 10*eps;
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	317 %! assert (interpn (z), zout, tol);
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	318 %! assert (interpn (z, "linear"), zout, tol);
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	319 %! assert (interpn (z, "spline"), zout, tol);
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	320

Mercurial > octave-antonio

annotate scripts/general/interpn.m @ 17744:d63878346099