octave-lyh: src/DLD-FUNCTIONS/svd.cc annotate

annotate src/DLD-FUNCTIONS/svd.cc @ 10687:a8ce6bdecce5

Improve documentation strings.

author	Rik <octave@nomad.inbox5.com>
date	Tue, 08 Jun 2010 20:22:38 -0700
parents	5c594472f75e
children	fbd7843974fa

rev	line source
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	1 /*
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	2
8920 eb63fbe60fab update copyright notices John W. Eaton <jwe@octave.org> parents: 8517 diff changeset	3 Copyright (C) 1996, 1997, 1999, 2000, 2003, 2005, 2006, 2007, 2008, 2009
7017 a1dbe9d80eee [project @ 2007-10-12 21:27:11 by jwe] jwe parents: 7016 diff changeset	4 John W. Eaton
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	5
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	6 This file is part of Octave.
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	7
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	8 Octave is free software; you can redistribute it and/or modify it
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	9 under the terms of the GNU General Public License as published by the
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6620 diff changeset	10 Free Software Foundation; either version 3 of the License, or (at your
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6620 diff changeset	11 option) any later version.
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	12
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	13 Octave is distributed in the hope that it will be useful, but WITHOUT
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	16 for more details.
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	17
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	18 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: 6620 diff changeset	19 along with Octave; see the file COPYING. If not, see
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6620 diff changeset	20 <http://www.gnu.org/licenses/>.
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	21
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	22 */
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	23
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	24 #ifdef HAVE_CONFIG_H
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	25 #include <config.h>
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	26 #endif
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	27
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	28 #include "CmplxSVD.h"
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	29 #include "dbleSVD.h"
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	30 #include "fCmplxSVD.h"
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	31 #include "floatSVD.h"
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	32
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	33 #include "defun-dld.h"
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	34 #include "error.h"
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	35 #include "gripes.h"
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	36 #include "oct-obj.h"
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	37 #include "pr-output.h"
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	38 #include "utils.h"
10638 e1559a8a60b4 general mechanism for string enum variables Jaroslav Hajek <highegg@gmail.com> parents: 10601 diff changeset	39 #include "variables.h"
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	40
10638 e1559a8a60b4 general mechanism for string enum variables Jaroslav Hajek <highegg@gmail.com> parents: 10601 diff changeset	41 static int Vsvd_driver = SVD::GESVD;
10601 3ce0c530a9c9 implement svd_driver Jaroslav Hajek <highegg@gmail.com> parents: 10185 diff changeset	42
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	43 DEFUN_DLD (svd, args, nargout,
3548 ab7fa5a8f23f [project @ 2000-02-03 01:17:15 by jwe] jwe parents: 3418 diff changeset	44 "-- texinfo --\n\
10687 a8ce6bdecce5 Improve documentation strings. Rik <octave@nomad.inbox5.com> parents: 10640 diff changeset	45 @deftypefn {Loadable Function} {@var{s} =} svd (@var{a})\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	46 @deftypefnx {Loadable Function} {[@var{u}, @var{s}, @var{v}] =} svd (@var{a})\n\
10687 a8ce6bdecce5 Improve documentation strings. Rik <octave@nomad.inbox5.com> parents: 10640 diff changeset	47 @deftypefnx {Loadable Function} {[@var{u}, @var{s}, @var{v}] =} svd (@var{a}, @var{econ})\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	48 @cindex singular value decomposition\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	49 Compute the singular value decomposition of @var{a}\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	50 @tex\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	51 $$\n\
6620 bf4bdc21dc8d [project @ 2007-05-14 17:35:46 by jwe] jwe parents: 5823 diff changeset	52 A = U S V^H\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	53 $$\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	54 @end tex\n\
8517 81d6ab3ac93c Allow documentation tobe built for other formats than tex and info sh@sh-laptop parents: 7814 diff changeset	55 @ifnottex\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	56 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	57 @example\n\
6620 bf4bdc21dc8d [project @ 2007-05-14 17:35:46 by jwe] jwe parents: 5823 diff changeset	58 A = USV'\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	59 @end example\n\
8517 81d6ab3ac93c Allow documentation tobe built for other formats than tex and info sh@sh-laptop parents: 7814 diff changeset	60 @end ifnottex\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	61 \n\
10687 a8ce6bdecce5 Improve documentation strings. Rik <octave@nomad.inbox5.com> parents: 10640 diff changeset	62 The function @code{svd} normally returns only the vector of singular values.\n\
a8ce6bdecce5 Improve documentation strings. Rik <octave@nomad.inbox5.com> parents: 10640 diff changeset	63 When called with three return values, it computes\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	64 @tex\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	65 $U$, $S$, and $V$.\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	66 @end tex\n\
8517 81d6ab3ac93c Allow documentation tobe built for other formats than tex and info sh@sh-laptop parents: 7814 diff changeset	67 @ifnottex\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	68 U, S, and V.\n\
8517 81d6ab3ac93c Allow documentation tobe built for other formats than tex and info sh@sh-laptop parents: 7814 diff changeset	69 @end ifnottex\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	70 For example,\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	71 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	72 @example\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	73 svd (hilb (3))\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	74 @end example\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	75 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	76 @noindent\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	77 returns\n\
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	78 \n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	79 @example\n\
9064 7c02ec148a3c Check grammar on all .cc files Rik <rdrider0-list@yahoo.com> parents: 8920 diff changeset	80 @group\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	81 ans =\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	82 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	83 1.4083189\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	84 0.1223271\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	85 0.0026873\n\
9064 7c02ec148a3c Check grammar on all .cc files Rik <rdrider0-list@yahoo.com> parents: 8920 diff changeset	86 @end group\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	87 @end example\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	88 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	89 @noindent\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	90 and\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	91 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	92 @example\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	93 [u, s, v] = svd (hilb (3))\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	94 @end example\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	95 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	96 @noindent\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	97 returns\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	98 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	99 @example\n\
9064 7c02ec148a3c Check grammar on all .cc files Rik <rdrider0-list@yahoo.com> parents: 8920 diff changeset	100 @group\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	101 u =\n\
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	102 \n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	103 -0.82704 0.54745 0.12766\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	104 -0.45986 -0.52829 -0.71375\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	105 -0.32330 -0.64901 0.68867\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	106 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	107 s =\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	108 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	109 1.40832 0.00000 0.00000\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	110 0.00000 0.12233 0.00000\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	111 0.00000 0.00000 0.00269\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	112 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	113 v =\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	114 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	115 -0.82704 0.54745 0.12766\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	116 -0.45986 -0.52829 -0.71375\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	117 -0.32330 -0.64901 0.68867\n\
9064 7c02ec148a3c Check grammar on all .cc files Rik <rdrider0-list@yahoo.com> parents: 8920 diff changeset	118 @end group\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	119 @end example\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	120 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	121 If given a second argument, @code{svd} returns an economy-sized\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	122 decomposition, eliminating the unnecessary rows or columns of @var{u} or\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	123 @var{v}.\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	124 @end deftypefn")
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	125 {
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	126 octave_value_list retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	127
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	128 int nargin = args.length ();
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	129
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	130 if (nargin < 1 \|\| nargin > 2 \|\| nargout == 2 \|\| nargout > 3)
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	131 {
5823 080c08b192d8 [project @ 2006-05-19 05:32:17 by jwe] jwe parents: 5307 diff changeset	132 print_usage ();
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	133 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	134 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	135
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	136 octave_value arg = args(0);
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	137
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4478 diff changeset	138 octave_idx_type nr = arg.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4478 diff changeset	139 octave_idx_type nc = arg.columns ();
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	140
10185 455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	141 if (arg.ndims () != 2)
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	142 {
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	143 error ("svd: only valid for matrices");
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	144 return retval;
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	145 }
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	146
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	147 bool isfloat = arg.is_single_type ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	148
10185 455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	149 SVD::type type = ((nargout == 0 \|\| nargout == 1)
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	150 ? SVD::sigma_only
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	151 : (nargin == 2) ? SVD::economy : SVD::std);
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	152
10638 e1559a8a60b4 general mechanism for string enum variables Jaroslav Hajek <highegg@gmail.com> parents: 10601 diff changeset	153 SVD::driver driver = static_cast<SVD::driver> (Vsvd_driver);
e1559a8a60b4 general mechanism for string enum variables Jaroslav Hajek <highegg@gmail.com> parents: 10601 diff changeset	154 assert (driver == SVD::GESVD \|\| driver == SVD::GESDD);
e1559a8a60b4 general mechanism for string enum variables Jaroslav Hajek <highegg@gmail.com> parents: 10601 diff changeset	155
4478 7afd4bf05aa8 [project @ 2003-07-30 19:15:31 by jwe] jwe parents: 3548 diff changeset	156 if (nr == 0 \|\| nc == 0)
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	157 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	158 if (isfloat)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	159 {
10185 455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	160 switch (type)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	161 {
10185 455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	162 case SVD::std:
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	163 retval(2) = FloatDiagMatrix (nc, nc, 1.0f);
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	164 retval(1) = FloatMatrix (nr, nc);
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	165 retval(0) = FloatDiagMatrix (nr, nr, 1.0f);
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	166 break;
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	167 case SVD::economy:
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	168 retval(2) = FloatDiagMatrix (0, nc, 1.0f);
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	169 retval(1) = FloatMatrix (0, 0);
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	170 retval(0) = FloatDiagMatrix (nr, 0, 1.0f);
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	171 break;
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	172 case SVD::sigma_only: default:
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	173 retval(0) = FloatMatrix (0, 1);
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	174 break;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	175 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	176 }
4478 7afd4bf05aa8 [project @ 2003-07-30 19:15:31 by jwe] jwe parents: 3548 diff changeset	177 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	178 {
10185 455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	179 switch (type)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	180 {
10185 455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	181 case SVD::std:
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	182 retval(2) = DiagMatrix (nc, nc, 1.0);
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	183 retval(1) = Matrix (nr, nc);
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	184 retval(0) = DiagMatrix (nr, nr, 1.0);
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	185 break;
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	186 case SVD::economy:
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	187 retval(2) = DiagMatrix (0, nc, 1.0);
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	188 retval(1) = Matrix (0, 0);
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	189 retval(0) = DiagMatrix (nr, 0, 1.0);
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	190 break;
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	191 case SVD::sigma_only: default:
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	192 retval(0) = Matrix (0, 1);
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	193 break;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	194 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	195 }
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	196 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	197 else
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	198 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	199 if (isfloat)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	200 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	201 if (arg.is_real_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	202 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	203 FloatMatrix tmp = arg.float_matrix_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	204
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	205 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	206 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	207 if (tmp.any_element_is_inf_or_nan ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	208 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	209 error ("svd: cannot take SVD of matrix containing Inf or NaN values");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	210 return retval;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	211 }
4478 7afd4bf05aa8 [project @ 2003-07-30 19:15:31 by jwe] jwe parents: 3548 diff changeset	212
10601 3ce0c530a9c9 implement svd_driver Jaroslav Hajek <highegg@gmail.com> parents: 10185 diff changeset	213 FloatSVD result (tmp, type, driver);
4478 7afd4bf05aa8 [project @ 2003-07-30 19:15:31 by jwe] jwe parents: 3548 diff changeset	214
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	215 FloatDiagMatrix sigma = result.singular_values ();
4478 7afd4bf05aa8 [project @ 2003-07-30 19:15:31 by jwe] jwe parents: 3548 diff changeset	216
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	217 if (nargout == 0 \|\| nargout == 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	218 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	219 retval(0) = sigma.diag ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	220 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	221 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	222 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	223 retval(2) = result.right_singular_matrix ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	224 retval(1) = sigma;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	225 retval(0) = result.left_singular_matrix ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	226 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	227 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	228 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	229 else if (arg.is_complex_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	230 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	231 FloatComplexMatrix ctmp = arg.float_complex_matrix_value ();
4478 7afd4bf05aa8 [project @ 2003-07-30 19:15:31 by jwe] jwe parents: 3548 diff changeset	232
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	233 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	234 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	235 if (ctmp.any_element_is_inf_or_nan ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	236 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	237 error ("svd: cannot take SVD of matrix containing Inf or NaN values");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	238 return retval;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	239 }
4478 7afd4bf05aa8 [project @ 2003-07-30 19:15:31 by jwe] jwe parents: 3548 diff changeset	240
10601 3ce0c530a9c9 implement svd_driver Jaroslav Hajek <highegg@gmail.com> parents: 10185 diff changeset	241 FloatComplexSVD result (ctmp, type, driver);
4478 7afd4bf05aa8 [project @ 2003-07-30 19:15:31 by jwe] jwe parents: 3548 diff changeset	242
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	243 FloatDiagMatrix sigma = result.singular_values ();
4478 7afd4bf05aa8 [project @ 2003-07-30 19:15:31 by jwe] jwe parents: 3548 diff changeset	244
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	245 if (nargout == 0 \|\| nargout == 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	246 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	247 retval(0) = sigma.diag ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	248 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	249 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	250 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	251 retval(2) = result.right_singular_matrix ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	252 retval(1) = sigma;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	253 retval(0) = result.left_singular_matrix ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	254 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	255 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	256 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	257 }
4478 7afd4bf05aa8 [project @ 2003-07-30 19:15:31 by jwe] jwe parents: 3548 diff changeset	258 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	259 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	260 if (arg.is_real_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	261 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	262 Matrix tmp = arg.matrix_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	263
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	264 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	265 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	266 if (tmp.any_element_is_inf_or_nan ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	267 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	268 error ("svd: cannot take SVD of matrix containing Inf or NaN values");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	269 return retval;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	270 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	271
10601 3ce0c530a9c9 implement svd_driver Jaroslav Hajek <highegg@gmail.com> parents: 10185 diff changeset	272 SVD result (tmp, type, driver);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	273
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	274 DiagMatrix sigma = result.singular_values ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	275
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	276 if (nargout == 0 \|\| nargout == 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	277 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	278 retval(0) = sigma.diag ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	279 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	280 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	281 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	282 retval(2) = result.right_singular_matrix ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	283 retval(1) = sigma;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	284 retval(0) = result.left_singular_matrix ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	285 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	286 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	287 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	288 else if (arg.is_complex_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	289 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	290 ComplexMatrix ctmp = arg.complex_matrix_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	291
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	292 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	293 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	294 if (ctmp.any_element_is_inf_or_nan ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	295 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	296 error ("svd: cannot take SVD of matrix containing Inf or NaN values");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	297 return retval;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	298 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	299
10601 3ce0c530a9c9 implement svd_driver Jaroslav Hajek <highegg@gmail.com> parents: 10185 diff changeset	300 ComplexSVD result (ctmp, type, driver);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	301
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	302 DiagMatrix sigma = result.singular_values ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	303
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	304 if (nargout == 0 \|\| nargout == 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	305 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	306 retval(0) = sigma.diag ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	307 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	308 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	309 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	310 retval(2) = result.right_singular_matrix ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	311 retval(1) = sigma;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	312 retval(0) = result.left_singular_matrix ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	313 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	314 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	315 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	316 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	317 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	318 gripe_wrong_type_arg ("svd", arg);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	319 return retval;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	320 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	321 }
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	322 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	323
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	324 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	325 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	326
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	327 /*
7814 87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	328
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	329 %!assert(svd ([1, 2; 2, 1]), [3; 1], sqrt (eps));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	330
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	331 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	332 %! [u, s, v] = svd ([1, 2; 2, 1]);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	333 %! x = 1 / sqrt (2);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	334 %! assert (u, [-x, -x; -x, x], sqrt (eps));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	335 %! assert (s, [3, 0; 0, 1], sqrt (eps));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	336 %! assert (v, [-x, x; -x, -x], sqrt (eps));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	337
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	338 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	339 %! a = [1, 2, 3; 4, 5, 6];
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	340 %! [u, s, v] = svd (a);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	341 %! assert (u * s * v', a, sqrt (eps));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	342
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	343 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	344 %! a = [1, 2; 3, 4; 5, 6];
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	345 %! [u, s, v] = svd (a);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	346 %! assert (u * s * v', a, sqrt (eps));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	347
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	348 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	349 %! a = [1, 2, 3; 4, 5, 6];
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	350 %! [u, s, v] = svd (a, 1);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	351 %! assert (u * s * v', a, sqrt (eps));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	352
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	353 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	354 %! a = [1, 2; 3, 4; 5, 6];
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	355 %! [u, s, v] = svd (a, 1);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	356 %! assert (u * s * v', a, sqrt (eps));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	357
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	358 %!assert(svd (single([1, 2; 2, 1])), single([3; 1]), sqrt (eps('single')));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	359
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	360 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	361 %! [u, s, v] = svd (single([1, 2; 2, 1]));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	362 %! x = single (1 / sqrt (2));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	363 %! assert (u, [-x, -x; -x, x], sqrt (eps('single')));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	364 %! assert (s, single([3, 0; 0, 1]), sqrt (eps('single')));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	365 %! assert (v, [-x, x; -x, -x], sqrt (eps('single')));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	366
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	367 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	368 %! a = single([1, 2, 3; 4, 5, 6]);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	369 %! [u, s, v] = svd (a);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	370 %! assert (u * s * v', a, sqrt (eps('single')));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	371
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	372 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	373 %! a = single([1, 2; 3, 4; 5, 6]);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	374 %! [u, s, v] = svd (a);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	375 %! assert (u * s * v', a, sqrt (eps('single')));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	376
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	377 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	378 %! a = single([1, 2, 3; 4, 5, 6]);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	379 %! [u, s, v] = svd (a, 1);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	380 %! assert (u * s * v', a, sqrt (eps('single')));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	381
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	382 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	383 %! a = single([1, 2; 3, 4; 5, 6]);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	384 %! [u, s, v] = svd (a, 1);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	385 %! assert (u * s * v', a, sqrt (eps('single')));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	386
10185 455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	387 %!test
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	388 %! a = zeros (0, 5);
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	389 %! [u, s, v] = svd (a);
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	390 %! assert (size (u), [0, 0]);
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	391 %! assert (size (s), [0, 5]);
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	392 %! assert (size (v), [5, 5]);
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	393
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	394 %!test
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	395 %! a = zeros (5, 0);
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	396 %! [u, s, v] = svd (a, 1);
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	397 %! assert (size (u), [5, 0]);
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	398 %! assert (size (s), [0, 0]);
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	399 %! assert (size (v), [0, 0]);
455759a5fcbe fix norm and svd on empty matrices Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	400
7814 87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	401 %!error <Invalid call to svd.*> svd ();
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	402 %!error <Invalid call to svd.*> svd ([1, 2; 4, 5], 2, 3);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	403 %!error <Invalid call to svd.*> [u, v] = svd ([1, 2; 3, 4]);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	404
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	405 */
10601 3ce0c530a9c9 implement svd_driver Jaroslav Hajek <highegg@gmail.com> parents: 10185 diff changeset	406
10638 e1559a8a60b4 general mechanism for string enum variables Jaroslav Hajek <highegg@gmail.com> parents: 10601 diff changeset	407 DEFUN_DLD (svd_driver, args, nargout,
10601 3ce0c530a9c9 implement svd_driver Jaroslav Hajek <highegg@gmail.com> parents: 10185 diff changeset	408 "-- texinfo --\n\
3ce0c530a9c9 implement svd_driver Jaroslav Hajek <highegg@gmail.com> parents: 10185 diff changeset	409 @deftypefn {Loadable Function} {@var{old} =} svd_driver (@var{new})\n\
3ce0c530a9c9 implement svd_driver Jaroslav Hajek <highegg@gmail.com> parents: 10185 diff changeset	410 Sets or queries the underlying LAPACK driver used by svd.\n\
3ce0c530a9c9 implement svd_driver Jaroslav Hajek <highegg@gmail.com> parents: 10185 diff changeset	411 Currently recognized are \"gesvd\" and \"gesdd\". Default is \"gesvd\".\n\
3ce0c530a9c9 implement svd_driver Jaroslav Hajek <highegg@gmail.com> parents: 10185 diff changeset	412 @seealso{svd}\n\
3ce0c530a9c9 implement svd_driver Jaroslav Hajek <highegg@gmail.com> parents: 10185 diff changeset	413 @end deftypefn")
3ce0c530a9c9 implement svd_driver Jaroslav Hajek <highegg@gmail.com> parents: 10185 diff changeset	414 {
10640 5c594472f75e determine string enum length by trailing null rather than sizeof Jaroslav Hajek <highegg@gmail.com> parents: 10638 diff changeset	415 static const char *driver_names[] = { "gesvd", "gesdd", 0 };
10601 3ce0c530a9c9 implement svd_driver Jaroslav Hajek <highegg@gmail.com> parents: 10185 diff changeset	416
10638 e1559a8a60b4 general mechanism for string enum variables Jaroslav Hajek <highegg@gmail.com> parents: 10601 diff changeset	417 return SET_INTERNAL_VARIABLE_CHOICES (svd_driver, driver_names);
10601 3ce0c530a9c9 implement svd_driver Jaroslav Hajek <highegg@gmail.com> parents: 10185 diff changeset	418 }

Mercurial > hg > octave-lyh

annotate src/DLD-FUNCTIONS/svd.cc @ 10687:a8ce6bdecce5