jwe/octave: scripts/general/interpn.m annotate

annotate scripts/general/interpn.m @ 19697:4197fc428c7d

maint: Update copyright notices for 2015.

author	John W. Eaton <jwe@octave.org>
date	Wed, 11 Feb 2015 14:19:08 -0500
parents	5a59c0e1203d
children	ca7599ae464d

rev	line source
19697 4197fc428c7d maint: Update copyright notices for 2015. John W. Eaton <jwe@octave.org> parents: 19658 diff changeset	1 ## Copyright (C) 2007-2015 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 ##
19658 5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	42 ## The interpolation @var{method} is one of:
6702 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 ##
19658 5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	48 ## @item @qcode{"linear"} (default)
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 ##
19658 5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	51 ## @item @qcode{"pchip"}
5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	52 ## Piecewise cubic Hermite interpolating polynomial---shape-preserving
5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	53 ## interpolation with smooth first derivative (not implemented yet).
5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	54 ##
17281 bc924baa2c4e doc: Add new @qcode macro for code samples which are quoted. Rik <rik@octave.org> parents: 16891 diff changeset	55 ## @item @qcode{"cubic"}
19658 5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	56 ## Cubic interpolation (same as @qcode{"pchip"} [not implemented yet]).
10821 693e22af08ae Grammarcheck documentation of m-files Rik <octave@nomad.inbox5.com> parents: 10819 diff changeset	57 ##
17281 bc924baa2c4e doc: Add new @qcode macro for code samples which are quoted. Rik <rik@octave.org> parents: 16891 diff changeset	58 ## @item @qcode{"spline"}
12175 2090995ca588 Correct en-dash,em-dash instances in docstrings. Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	59 ## Cubic spline interpolation---smooth first and second derivatives
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	60 ## throughout the curve.
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	61 ## @end table
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	62 ##
17281 bc924baa2c4e doc: Add new @qcode macro for code samples which are quoted. Rik <rik@octave.org> parents: 16891 diff changeset	63 ## The default method is @qcode{"linear"}.
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	64 ##
19658 5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	65 ## @var{extrapval} is a scalar number. It replaces values beyond the endpoints
5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	66 ## with @var{extrapval}. Note that if @var{extrapval} is used, @var{method}
5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	67 ## must be specified as well. If @var{extrapval} is omitted and the
5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	68 ## @var{method} is @qcode{"spline"}, then the extrapolated values of the
5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	69 ## @qcode{"spline"} are used. Otherwise the default @var{extrapval} value for
5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	70 ## any other @var{method} is @qcode{"NA"}.
5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	71 ## @seealso{interp1, interp2, interp3, spline, ndgrid}
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	72 ## @end deftypefn
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	73
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	74 function vi = interpn (varargin)
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	75
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	76 method = "linear";
19658 5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	77 extrapval = [];
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	78 nargs = nargin;
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	79
13151 e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	80 if (nargin < 1 \|\| ! isnumeric (varargin{1}))
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	81 print_usage ();
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	82 endif
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	83
19658 5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	84 if (nargs > 1 && ischar (varargin{end-1}))
7208 a730e47fda4d [project @ 2007-11-28 02:32:41 by jwe] jwe parents: 7016 diff changeset	85 if (! isnumeric (varargin{end}) \|\| ! isscalar (varargin{end}))
19658 5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	86 error ("interpn: EXTRAPVAL must be a numeric scalar");
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	87 endif
8116 6c69f5cda32b For for extrapval in interpn Kris Thielemans parents: 7671 diff changeset	88 extrapval = varargin{end};
19658 5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	89 method = varargin{end-1};
16891 486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	90 nargs -= 2;
19658 5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	91 elseif (ischar (varargin{end}))
5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	92 method = varargin{end};
5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	93 nargs--;
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	94 endif
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	95
18587 5cf9a02732b6 Issue warning when '' flag used with interp2,3,n.m (bug #41459). Rik <rik@octave.org>* parents: 17744 diff changeset	96 if (method(1) == "*")
5cf9a02732b6 Issue warning when '' flag used with interp2,3,n.m (bug #41459). Rik <rik@octave.org>* parents: 17744 diff changeset	97 warning ("interpn: ignoring unsupported '*' flag to METHOD");
5cf9a02732b6 Issue warning when '' flag used with interp2,3,n.m (bug #41459). Rik <rik@octave.org>* parents: 17744 diff changeset	98 method(1) = [];
5cf9a02732b6 Issue warning when '' flag used with interp2,3,n.m (bug #41459). Rik <rik@octave.org>* parents: 17744 diff changeset	99 endif
19658 5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	100 method = validatestring (method, ...
5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	101 {"nearest", "linear", "pchip", "cubic", "spline"});
18587 5cf9a02732b6 Issue warning when '' flag used with interp2,3,n.m (bug #41459). Rik <rik@octave.org>* parents: 17744 diff changeset	102
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	103 if (nargs < 3)
7208 a730e47fda4d [project @ 2007-11-28 02:32:41 by jwe] jwe parents: 7016 diff changeset	104 v = varargin{1};
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	105 m = 1;
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	106 if (nargs == 2)
13151 e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	107 if (ischar (varargin{2}))
e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	108 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	109 elseif (isnumeric (m) && isscalar (m) && fix (m) == m)
13151 e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	110 m = varargin{2};
e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	111 else
e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	112 print_usage ();
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	113 endif
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	114 endif
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	115 sz = size (v);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	116 nd = ndims (v);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	117 x = cell (1, nd);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	118 y = cell (1, nd);
16891 486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	119 for i = 1 : nd
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	120 x{i} = 1 : sz(i);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	121 y{i} = 1 : (1 / (2 ^ m)) : sz(i);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	122 endfor
13151 e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	123 y{1} = y{1}.';
e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	124 [y{:}] = ndgrid (y{:});
7208 a730e47fda4d [project @ 2007-11-28 02:32:41 by jwe] jwe parents: 7016 diff changeset	125 elseif (! isvector (varargin{1}) && nargs == (ndims (varargin{1}) + 1))
a730e47fda4d [project @ 2007-11-28 02:32:41 by jwe] jwe parents: 7016 diff changeset	126 v = varargin{1};
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	127 sz = size (v);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	128 nd = ndims (v);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	129 x = cell (1, nd);
16891 486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	130 y = varargin(2 : nargs);
486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	131 for i = 1 : nd
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	132 x{i} = 1 : sz(i);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	133 endfor
16891 486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	134 elseif (rem (nargs, 2) == 1
486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	135 && nargs == (2 * ndims (varargin{ceil (nargs / 2)})) + 1)
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	136 nv = ceil (nargs / 2);
7208 a730e47fda4d [project @ 2007-11-28 02:32:41 by jwe] jwe parents: 7016 diff changeset	137 v = varargin{nv};
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	138 sz = size (v);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	139 nd = ndims (v);
16891 486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	140 x = varargin(1 : (nv - 1));
486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	141 y = varargin((nv + 1) : nargs);
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	142 else
10635 d1978e7364ad Print name of function in error() string messages. Rik <octave@nomad.inbox5.com> parents: 10549 diff changeset	143 error ("interpn: wrong number or incorrectly formatted input arguments");
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
12931 cefd568ea073 Replace function handles with function names in cellfun calls for 15% speedup. Rik <octave@nomad.inbox5.com> parents: 12175 diff changeset	146 if (any (! cellfun ("isvector", x)))
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	147 for i = 2 : nd
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	148 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	149 error ("interpn: dimensional mismatch");
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	150 endif
16891 486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	151 idx(1 : nd) = {1};
486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	152 idx(i) = ":";
6721 01036667884a [project @ 2007-06-14 06:56:41 by dbateman] dbateman parents: 6702 diff changeset	153 x{i} = x{i}(idx{:})(:);
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	154 endfor
16891 486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	155 idx(1 : nd) = {1};
486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	156 idx(1) = ":";
6721 01036667884a [project @ 2007-06-14 06:56:41 by dbateman] dbateman parents: 6702 diff changeset	157 x{1} = x{1}(idx{:})(:);
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	158 endif
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	159
7421 1c7b3e1fda19 [project @ 2008-01-25 21:00:42 by dbateman] dbateman parents: 7208 diff changeset	160 method = tolower (method);
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	161
12931 cefd568ea073 Replace function handles with function names in cellfun calls for 15% speedup. Rik <octave@nomad.inbox5.com> parents: 12175 diff changeset	162 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	163 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	164 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	165 [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	166 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	167 endif
f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays. Ben Abbott <bpabbott@mac.com> parents: 10793 diff changeset	168
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	169 if (strcmp (method, "linear"))
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	170 vi = __lin_interpn__ (x{:}, v, y{:});
19658 5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	171 if (isempty (extrapval))
5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	172 extrapval = NA;
5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	173 endif
16891 486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	174 vi(isna (vi)) = extrapval;
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	175 elseif (strcmp (method, "nearest"))
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	176 yshape = size (y{1});
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	177 yidx = cell (1, nd);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	178 for i = 1 : nd
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	179 y{i} = y{i}(:);
7671 4fbaba9abec1 implement compiled binary lookup Jaroslav Hajek <highegg@gmail.com> parents: 7561 diff changeset	180 yidx{i} = lookup (x{i}, y{i}, "lr");
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	181 endfor
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	182 idx = cell (1,nd);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	183 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	184 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	185 endfor
16891 486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	186 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	187 idx = zeros (prod (yshape), 1);
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	188 for i = 1 : nd
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	189 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	190 endfor
19658 5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	191 if (isempty (extrapval))
5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	192 extrapval = NA;
5a59c0e1203d Modified the "extrap" option for interp2, interp3, and interpn (bug #44002). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 18587 diff changeset	193 endif
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	194 vi(idx) = extrapval;
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	195 vi = reshape (vi, yshape);
6721 01036667884a [project @ 2007-06-14 06:56:41 by dbateman] dbateman parents: 6702 diff changeset	196 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	197 if (any (! cellfun ("isvector", y)))
7423 342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman] dbateman parents: 7421 diff changeset	198 for i = 2 : nd
10549 95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 10427 diff changeset	199 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	200 error ("interpn: dimensional mismatch");
10549 95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 10427 diff changeset	201 endif
16891 486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	202 idx(1 : nd) = {1};
486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	203 idx(i) = ":";
10549 95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 10427 diff changeset	204 y{i} = y{i}(idx{:});
7423 342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman] dbateman parents: 7421 diff changeset	205 endfor
16891 486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	206 idx(1 : nd) = {1};
486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	207 idx(1) = ":";
7423 342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman] dbateman parents: 7421 diff changeset	208 y{1} = y{1}(idx{:});
342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman] dbateman parents: 7421 diff changeset	209 endif
7421 1c7b3e1fda19 [project @ 2008-01-25 21:00:42 by dbateman] dbateman parents: 7208 diff changeset	210
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	211 vi = __splinen__ (x, v, y, extrapval, "interpn");
7421 1c7b3e1fda19 [project @ 2008-01-25 21:00:42 by dbateman] dbateman parents: 7208 diff changeset	212
7423 342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman] dbateman parents: 7421 diff changeset	213 if (size_equal (y{:}))
342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman] dbateman parents: 7421 diff changeset	214 ly = length (y{1});
342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman] dbateman parents: 7421 diff changeset	215 idx = cell (1, ly);
342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman] dbateman parents: 7421 diff changeset	216 q = cell (1, nd);
342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman] dbateman parents: 7421 diff changeset	217 for i = 1 : ly
10549 95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 10427 diff changeset	218 q(:) = i;
16891 486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	219 idx{i} = q;
7423 342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman] dbateman parents: 7421 diff changeset	220 endfor
16891 486c3e2731ff interpn.m: Use Octave coding conventions. Rik <rik@octave.org> parents: 14868 diff changeset	221 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	222 vi = reshape (vi, size (y{1}));
7423 342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman] dbateman parents: 7421 diff changeset	223 endif
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	224 elseif (strcmp (method, "cubic"))
10635 d1978e7364ad Print name of function in error() string messages. Rik <octave@nomad.inbox5.com> parents: 10549 diff changeset	225 error ("interpn: cubic interpolation not yet implemented");
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	226 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	227 error ("interpn: unrecognized interpolation METHOD");
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	228 endif
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	229
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	230 endfunction
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	231
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	232
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	233 %!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	234 %! 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	235 %! 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	236 %! 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	237 %! 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	238 %! 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	239 %! 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	240 %! 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	241 %! [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	242 %! hold on; plot3 (x(:),y(:),A(:),"b*"); hold off;
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	243
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	244 %!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	245 %! 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	246 %! 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	247 %! 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	248 %! 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	249 %! 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	250 %! 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	251 %! 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	252 %! [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	253 %! hold on; plot3 (x(:),y(:),A(:),"b*"); hold off;
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	254
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	255 %!#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	256 %! 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	257 %! 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	258 %! 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	259 %! 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	260 %! 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	261 %! 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	262 %! 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	263 %! [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	264 %! hold on; plot3 (x(:),y(:),A(:),"b*"); hold off;
6702 b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	265
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman] dbateman parents: diff changeset	266 %!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	267 %! 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	268 %! 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	269 %! 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	270 %! 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	271 %! 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	272 %! 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	273 %! 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	274 %! [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	275 %! 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	276
01036667884a [project @ 2007-06-14 06:56:41 by dbateman] dbateman parents: 6702 diff changeset	277 %!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	278 %! 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	279 %! colormap ("default");
6721 01036667884a [project @ 2007-06-14 06:56:41 by dbateman] dbateman parents: 6702 diff changeset	280 %! x = y = z = -1:1;
01036667884a [project @ 2007-06-14 06:56:41 by dbateman] dbateman parents: 6702 diff changeset	281 %! f = @(x,y,z) x.^2 - y - z.^2;
01036667884a [project @ 2007-06-14 06:56:41 by dbateman] dbateman parents: 6702 diff changeset	282 %! [xx, yy, zz] = meshgrid (x, y, z);
01036667884a [project @ 2007-06-14 06:56:41 by dbateman] dbateman parents: 6702 diff changeset	283 %! v = f (xx,yy,zz);
01036667884a [project @ 2007-06-14 06:56:41 by dbateman] dbateman parents: 6702 diff changeset	284 %! xi = yi = zi = -1:0.1:1;
01036667884a [project @ 2007-06-14 06:56:41 by dbateman] dbateman parents: 6702 diff changeset	285 %! [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	286 %! 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	287 %! mesh (yi, zi, squeeze (vi(1,:,:)));
01036667884a [project @ 2007-06-14 06:56:41 by dbateman] dbateman parents: 6702 diff changeset	288
7421 1c7b3e1fda19 [project @ 2008-01-25 21:00:42 by dbateman] dbateman parents: 7208 diff changeset	289 %!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	290 %! [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	291 %! 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	292 %! 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	293 %! 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	294 %! 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	295 %! 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	296 %! 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	297 %! 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	298
a938cd7869b2 __lin_interpn__.cc: handle decreasing coordinate values Alexander Barth parents: 7424 diff changeset	299 %!test
10819 f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays. Ben Abbott <bpabbott@mac.com> parents: 10793 diff changeset	300 %! [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	301 %! 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	302 %! 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	303 %! 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	304 %! [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	305 %! 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	306
f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays. Ben Abbott <bpabbott@mac.com> parents: 10793 diff changeset	307 %!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	308 %! 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	309 %! [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	310 %! 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	311 %! 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	312 %! 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	313
f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays. Ben Abbott <bpabbott@mac.com> parents: 10793 diff changeset	314 %!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	315 %! [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	316 %! 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	317 %! 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	318
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	319 %!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	320 %! 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	321 %! 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	322
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	323 %!test
13151 e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	324 %! z = zeros (3, 3, 3);
e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	325 %! zout = zeros (5, 5, 5);
e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	326 %! z(:,:,1) = [1 3 5; 3 5 7; 5 7 9];
e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	327 %! z(:,:,2) = z(:,:,1) + 2;
e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	328 %! z(:,:,3) = z(:,:,2) + 2;
e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	329 %! for n = 1:5
e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	330 %! 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	331 %! 2 3 4 5 6;
13151 e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	332 %! 3 4 5 6 7;
e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	333 %! 4 5 6 7 8;
e173fda06fca Fix bug #30295. Ben Abbott <bpabbott@mac.com> parents: 12175 diff changeset	334 %! 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	335 %! endfor
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	336 %! 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	337 %! 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	338 %! 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	339 %! 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	340
18587 5cf9a02732b6 Issue warning when '' flag used with interp2,3,n.m (bug #41459). Rik <rik@octave.org>* parents: 17744 diff changeset	341 %% Test input validation
5cf9a02732b6 Issue warning when '' flag used with interp2,3,n.m (bug #41459). Rik <rik@octave.org>* parents: 17744 diff changeset	342 %!warning <ignoring unsupported '\' flag> interpn (rand (3,3), 1, "linear");
5cf9a02732b6 Issue warning when '' flag used with interp2,3,n.m (bug #41459). Rik <rik@octave.org>* parents: 17744 diff changeset	343

Mercurial > jwe > octave

annotate scripts/general/interpn.m @ 19697:4197fc428c7d