octave: src/DLD-FUNCTIONS/eig.cc annotate

annotate src/DLD-FUNCTIONS/eig.cc @ 14138:72c96de7a403 stable

maint: update copyright notices for 2012

author	John W. Eaton <jwe@octave.org>
date	Mon, 02 Jan 2012 14:25:41 -0500
parents	5fa482628bf6
children	60e5cf354d80

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
14138 72c96de7a403 maint: update copyright notices for 2012 John W. Eaton <jwe@octave.org> parents: 13915 diff changeset	3 Copyright (C) 1996-2012 John W. Eaton
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	4
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	5 This file is part of Octave.
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	6
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	7 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	8 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: 5829 diff changeset	9 Free Software Foundation; either version 3 of the License, or (at your
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 5829 diff changeset	10 option) any later version.
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	11
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	12 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	13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	14 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	15 for more details.
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	16
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	17 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: 5829 diff changeset	18 along with Octave; see the file COPYING. If not, see
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 5829 diff changeset	19 <http://www.gnu.org/licenses/>.
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	20
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 #ifdef HAVE_CONFIG_H
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	24 #include <config.h>
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	25 #endif
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	26
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	27 #include "EIG.h"
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	28 #include "fEIG.h"
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	29
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	30 #include "defun-dld.h"
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	31 #include "error.h"
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	32 #include "gripes.h"
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	33 #include "oct-obj.h"
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	34 #include "utils.h"
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	35
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	36 DEFUN_DLD (eig, args, nargout,
3548 ab7fa5a8f23f [project @ 2000-02-03 01:17:15 by jwe] jwe parents: 3372 diff changeset	37 "-- texinfo --\n\
11553 01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	38 @deftypefn {Loadable Function} {@var{lambda} =} eig (@var{A})\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	39 @deftypefnx {Loadable Function} {@var{lambda} =} eig (@var{A}, @var{B})\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	40 @deftypefnx {Loadable Function} {[@var{V}, @var{lambda}] =} eig (@var{A})\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	41 @deftypefnx {Loadable Function} {[@var{V}, @var{lambda}] =} eig (@var{A}, @var{B})\n\
12584 7ef7e20057fa Improve documentation strings in Linear Algebra chapter. Rik <octave@nomad.inbox5.com> parents: 11586 diff changeset	42 Compute the eigenvalues and eigenvectors of a matrix.\n\
7ef7e20057fa Improve documentation strings in Linear Algebra chapter. Rik <octave@nomad.inbox5.com> parents: 11586 diff changeset	43 \n\
7ef7e20057fa Improve documentation strings in Linear Algebra chapter. Rik <octave@nomad.inbox5.com> parents: 11586 diff changeset	44 Eigenvalues are computed in a several step process which begins with a\n\
7ef7e20057fa Improve documentation strings in Linear Algebra chapter. Rik <octave@nomad.inbox5.com> parents: 11586 diff changeset	45 Hessenberg decomposition, followed by a Schur@tie{}decomposition, from which\n\
7ef7e20057fa Improve documentation strings in Linear Algebra chapter. Rik <octave@nomad.inbox5.com> parents: 11586 diff changeset	46 the eigenvalues are apparent. The eigenvectors, when desired, are computed\n\
7ef7e20057fa Improve documentation strings in Linear Algebra chapter. Rik <octave@nomad.inbox5.com> parents: 11586 diff changeset	47 by further manipulations of the Schur@tie{}decomposition.\n\
5829 93785a1b0f97 [project @ 2006-05-23 18:34:10 by jwe] jwe parents: 5823 diff changeset	48 \n\
93785a1b0f97 [project @ 2006-05-23 18:34:10 by jwe] jwe parents: 5823 diff changeset	49 The eigenvalues returned by @code{eig} are not ordered.\n\
11553 01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	50 @seealso{eigs, svd}\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	51 @end deftypefn")
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	52 {
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	53 octave_value_list retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	54
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	55 int nargin = args.length ();
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	56
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	57 if (nargin > 2 \|\| nargin == 0 \|\| nargout > 2)
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	58 {
5823 080c08b192d8 [project @ 2006-05-19 05:32:17 by jwe] jwe parents: 5307 diff changeset	59 print_usage ();
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	60 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	61 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	62
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	63 octave_value arg_a, arg_b;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	64
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	65 octave_idx_type nr_a = 0, nr_b = 0;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	66 octave_idx_type nc_a = 0, nc_b = 0;
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	67
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	68 arg_a = args(0);
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	69 nr_a = arg_a.rows ();
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	70 nc_a = arg_a.columns ();
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	71
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	72 int arg_is_empty = empty_arg ("eig", nr_a, nc_a);
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	73 if (arg_is_empty < 0)
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	74 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	75 else if (arg_is_empty > 0)
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	76 return octave_value_list (2, Matrix ());
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	77
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	78 if (!(arg_a.is_single_type () \|\| arg_a.is_double_type ()))
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	79 {
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	80 gripe_wrong_type_arg ("eig", arg_a);
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	81 return retval;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	82 }
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	83
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	84 if (nargin == 2)
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	85 {
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	86 arg_b = args(1);
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	87 nr_b = arg_b.rows ();
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	88 nc_b = arg_b.columns ();
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	89
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	90 arg_is_empty = empty_arg ("eig", nr_b, nc_b);
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	91 if (arg_is_empty < 0)
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	92 return retval;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	93 else if (arg_is_empty > 0)
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	94 return octave_value_list (2, Matrix ());
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	95
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	96 if (!(arg_b.is_single_type() \|\| arg_b.is_double_type ()))
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	97 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	98 gripe_wrong_type_arg ("eig", arg_b);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	99 return retval;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	100 }
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	101 }
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	102
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	103 if (nr_a != nc_a)
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	104 {
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	105 gripe_square_matrix_required ("eig");
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	106 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	107 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	108
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	109 if (nargin == 2 && nr_b != nc_b)
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	110 {
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	111 gripe_square_matrix_required ("eig");
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	112 return retval;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	113 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	114
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	115 Matrix tmp_a, tmp_b;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	116 ComplexMatrix ctmp_a, ctmp_b;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	117 FloatMatrix ftmp_a, ftmp_b;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	118 FloatComplexMatrix fctmp_a, fctmp_b;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	119
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	120 if (arg_a.is_single_type ())
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	121 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	122 FloatEIG result;
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	123
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	124 if (nargin == 1)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	125 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	126 if (arg_a.is_real_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	127 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	128 ftmp_a = arg_a.float_matrix_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	129
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	130 if (error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	131 return retval;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	132 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	133 result = FloatEIG (ftmp_a, nargout > 1);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	134 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	135 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	136 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	137 fctmp_a = arg_a.float_complex_matrix_value ();
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	138
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	139 if (error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	140 return retval;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	141 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	142 result = FloatEIG (fctmp_a, nargout > 1);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	143 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	144 }
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	145 else if (nargin == 2)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	146 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	147 if (arg_a.is_real_type () && arg_b.is_real_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	148 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	149 ftmp_a = arg_a.float_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	150 ftmp_b = arg_b.float_matrix_value ();
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	151
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	152 if (error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	153 return retval;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	154 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	155 result = FloatEIG (ftmp_a, ftmp_b, nargout > 1);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	156 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	157 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	158 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	159 fctmp_a = arg_a.float_complex_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	160 fctmp_b = arg_b.float_complex_matrix_value ();
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	161
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	162 if (error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	163 return retval;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	164 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	165 result = FloatEIG (fctmp_a, fctmp_b, nargout > 1);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	166 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	167 }
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	168
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	169 if (! error_state)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	170 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	171 if (nargout == 0 \|\| nargout == 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	172 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	173 retval(0) = result.eigenvalues ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	174 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	175 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	176 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	177 // Blame it on Matlab.
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	178
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	179 FloatComplexDiagMatrix d (result.eigenvalues ());
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	180
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	181 retval(1) = d;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	182 retval(0) = result.eigenvectors ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	183 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	184 }
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	185 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	186 else
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	187 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	188 EIG result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	189
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	190 if (nargin == 1)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	191 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	192 if (arg_a.is_real_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	193 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	194 tmp_a = arg_a.matrix_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	195
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	196 if (error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	197 return retval;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	198 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	199 result = EIG (tmp_a, nargout > 1);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	200 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	201 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	202 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	203 ctmp_a = arg_a.complex_matrix_value ();
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	204
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	205 if (error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	206 return retval;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	207 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	208 result = EIG (ctmp_a, nargout > 1);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	209 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	210 }
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	211 else if (nargin == 2)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	212 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	213 if (arg_a.is_real_type () && arg_b.is_real_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	214 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	215 tmp_a = arg_a.matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	216 tmp_b = arg_b.matrix_value ();
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	217
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	218 if (error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	219 return retval;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	220 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	221 result = EIG (tmp_a, tmp_b, nargout > 1);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	222 }
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	223 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	224 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	225 ctmp_a = arg_a.complex_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	226 ctmp_b = arg_b.complex_matrix_value ();
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	227
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	228 if (error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	229 return retval;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	230 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	231 result = EIG (ctmp_a, ctmp_b, nargout > 1);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	232 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	233 }
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	234
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	235 if (! error_state)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	236 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	237 if (nargout == 0 \|\| nargout == 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	238 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	239 retval(0) = result.eigenvalues ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	240 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	241 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	242 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	243 // Blame it on Matlab.
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	244
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	245 ComplexDiagMatrix d (result.eigenvalues ());
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	246
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	247 retval(1) = d;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	248 retval(0) = result.eigenvectors ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	249 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	250 }
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	251 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	252
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	253 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	254 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	255
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	256 /*
7814 87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	257
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	258 %!assert(eig ([1, 2; 2, 1]), [-1; 3], sqrt (eps));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	259
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	260 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	261 %! [v, d] = eig ([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	262 %! 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	263 %! assert(d, [-1, 0; 0, 3], sqrt (eps));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	264 %! 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	265
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	266 %!assert(eig (single ([1, 2; 2, 1])), single([-1; 3]), 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	267
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	268 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	269 %! [v, d] = eig (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	270 %! 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	271 %! assert(d, single([-1, 0; 0, 3]), 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	272 %! 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	273
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	274 %!test
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	275 %! A = [1, 2; -1, 1]; B = [3, 3; 1, 2];
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	276 %! [v, d] = eig (A, B);
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	277 %! assert(A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps));
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	278 %! assert(A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps));
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	279
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	280 %!test
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	281 %! A = single([1, 2; -1, 1]); B = single([3, 3; 1, 2]);
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	282 %! [v, d] = eig (A, B);
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	283 %! assert(A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps('single')));
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	284 %! assert(A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps('single')));
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	285
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	286 %!test
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	287 %! A = [1, 2; 2, 1]; B = [3, -2; -2, 3];
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	288 %! [v, d] = eig (A, B);
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	289 %! assert(A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps));
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	290 %! assert(A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps));
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	291
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	292 %!test
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	293 %! A = single([1, 2; 2, 1]); B = single([3, -2; -2, 3]);
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	294 %! [v, d] = eig (A, B);
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	295 %! assert(A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps('single')));
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	296 %! assert(A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps('single')));
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	297
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	298 %!test
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	299 %! A = [1+3i, 2+i; 2-i, 1+3i]; B = [5+9i, 2+i; 2-i, 5+9i];
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	300 %! [v, d] = eig (A, B);
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	301 %! assert(A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps));
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	302 %! assert(A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps));
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	303
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	304 %!test
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	305 %! A = single([1+3i, 2+i; 2-i, 1+3i]); B = single([5+9i, 2+i; 2-i, 5+9i]);
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	306 %! [v, d] = eig (A, B);
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	307 %! assert(A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps('single')));
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	308 %! assert(A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps('single')));
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	309
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	310 %!test
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	311 %! A = [1+3i, 2+3i; 3-8i, 8+3i]; B = [8+i, 3+i; 4-9i, 3+i];
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	312 %! [v, d] = eig (A, B);
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	313 %! assert(A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps));
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	314 %! assert(A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps));
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	315
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	316 %!test
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	317 %! A = single([1+3i, 2+3i; 3-8i, 8+3i]); B = single([8+i, 3+i; 4-9i, 3+i]);
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	318 %! [v, d] = eig (A, B);
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	319 %! assert(A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps('single')));
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	320 %! assert(A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps('single')));
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	321
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	322 %!test
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	323 %! A = [1, 2; 3, 8]; B = [8, 3; 4, 3];
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	324 %! [v, d] = eig (A, B);
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	325 %! assert(A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps));
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	326 %! assert(A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps));
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	327
13915 5fa482628bf6 Remove unnecessary regular expression '.' from ends of %!error blocks Rik <octave@nomad.inbox5.com>* parents: 12584 diff changeset	328 %!error <Invalid call to eig> eig ();
5fa482628bf6 Remove unnecessary regular expression '.' from ends of %!error blocks Rik <octave@nomad.inbox5.com>* parents: 12584 diff changeset	329 %!error <Invalid call to eig> eig ([1, 2; 3, 4], [4, 3; 2, 1], 1);
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	330 %!error eig ([1, 2; 3, 4], 2);
7814 87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	331 %!error eig ([1, 2; 3, 4; 5, 6]);
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	332 %!error eig ("abcd");
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	333 %!error eig ([1 2 ; 2 3], "abcd");
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	334 %!error eig (false, [1 2 ; 2 3]);
7814 87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	335
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	336 */

Mercurial > octave

annotate src/DLD-FUNCTIONS/eig.cc @ 14138:72c96de7a403 stable