annotate src/DLD-FUNCTIONS/inv.cc @ 5823:080c08b192d8

[project @ 2006-05-19 05:32:17 by jwe]
author jwe
date Fri, 19 May 2006 05:32:19 +0000
parents ace8d8d26933
children 3c92b8d892dd
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
3 Copyright (C) 1996, 1997 John W. Eaton
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
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
9 Free Software Foundation; either version 2, or (at your option) any
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
10 later version.
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
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
18 along with Octave; see the file COPYING. If not, write to the Free
5307
4c8a2e4e0717 [project @ 2005-04-26 19:24:27 by jwe]
jwe
parents: 5275
diff changeset
19 Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
4c8a2e4e0717 [project @ 2005-04-26 19:24:27 by jwe]
jwe
parents: 5275
diff changeset
20 02110-1301, USA.
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 "defun-dld.h"
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
29 #include "error.h"
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
30 #include "gripes.h"
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
31 #include "oct-obj.h"
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
32 #include "utils.h"
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
33
3808
885b296ef83a [project @ 2001-03-27 19:12:58 by jwe]
jwe
parents: 3548
diff changeset
34 DEFUN_DLD (inv, args, nargout,
3548
ab7fa5a8f23f [project @ 2000-02-03 01:17:15 by jwe]
jwe
parents: 3458
diff changeset
35 "-*- texinfo -*-\n\
3808
885b296ef83a [project @ 2001-03-27 19:12:58 by jwe]
jwe
parents: 3548
diff changeset
36 @deftypefn {Loadable Function} {[@var{x}, @var{rcond}] = } inv (@var{a})\n\
885b296ef83a [project @ 2001-03-27 19:12:58 by jwe]
jwe
parents: 3548
diff changeset
37 @deftypefnx {Loadable Function} {[@var{x}, @var{rcond}] = } inverse (@var{a})\n\
885b296ef83a [project @ 2001-03-27 19:12:58 by jwe]
jwe
parents: 3548
diff changeset
38 Compute the inverse of the square matrix @var{a}. Return an estimate\n\
885b296ef83a [project @ 2001-03-27 19:12:58 by jwe]
jwe
parents: 3548
diff changeset
39 of the reciprocal condition number if requested, otherwise warn of an\n\
885b296ef83a [project @ 2001-03-27 19:12:58 by jwe]
jwe
parents: 3548
diff changeset
40 ill-conditioned matrix if the reciprocal condition number is small.\n\
3372
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe]
jwe
parents: 3325
diff changeset
41 @end deftypefn")
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
42 {
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
43 octave_value_list retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
44
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
45 int nargin = args.length ();
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
46
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
47 if (nargin != 1)
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
48 {
5823
080c08b192d8 [project @ 2006-05-19 05:32:17 by jwe]
jwe
parents: 5775
diff changeset
49 print_usage ();
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
50 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
51 }
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 arg = args(0);
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
54
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5064
diff changeset
55 octave_idx_type nr = arg.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5064
diff changeset
56 octave_idx_type nc = arg.columns ();
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
57
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
58 int arg_is_empty = empty_arg ("inverse", nr, nc);
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
59
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
60 if (arg_is_empty < 0)
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
61 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
62 else if (arg_is_empty > 0)
4233
ccfdb55c8156 [project @ 2002-12-20 22:43:54 by jwe]
jwe
parents: 3808
diff changeset
63 return octave_value (Matrix ());
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
64
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
65 if (nr != nc)
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
66 {
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
67 gripe_square_matrix_required ("inverse");
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
68 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
69 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
70
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
71 if (arg.is_real_type ())
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
72 {
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
73 Matrix m = arg.matrix_value ();
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
74
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
75 if (! error_state)
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
76 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5064
diff changeset
77 octave_idx_type info;
5064
a6755bc45f15 [project @ 2004-11-04 16:34:57 by jwe]
jwe
parents: 5063
diff changeset
78 double rcond = 0.0;
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
79
3808
885b296ef83a [project @ 2001-03-27 19:12:58 by jwe]
jwe
parents: 3548
diff changeset
80 Matrix result = m.inverse (info, rcond, 1);
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
81
3808
885b296ef83a [project @ 2001-03-27 19:12:58 by jwe]
jwe
parents: 3548
diff changeset
82 if (nargout > 1)
885b296ef83a [project @ 2001-03-27 19:12:58 by jwe]
jwe
parents: 3548
diff changeset
83 retval(1) = rcond;
885b296ef83a [project @ 2001-03-27 19:12:58 by jwe]
jwe
parents: 3548
diff changeset
84
885b296ef83a [project @ 2001-03-27 19:12:58 by jwe]
jwe
parents: 3548
diff changeset
85 retval(0) = result;
885b296ef83a [project @ 2001-03-27 19:12:58 by jwe]
jwe
parents: 3548
diff changeset
86
5064
a6755bc45f15 [project @ 2004-11-04 16:34:57 by jwe]
jwe
parents: 5063
diff changeset
87 volatile double xrcond = rcond;
a6755bc45f15 [project @ 2004-11-04 16:34:57 by jwe]
jwe
parents: 5063
diff changeset
88 xrcond += 1.0;
a6755bc45f15 [project @ 2004-11-04 16:34:57 by jwe]
jwe
parents: 5063
diff changeset
89 if (nargout < 2 && (info == -1 || xrcond == 1.0))
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
90 warning ("inverse: matrix singular to machine precision,\
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
91 rcond = %g", rcond);
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
92 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
93 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
94 else if (arg.is_complex_type ())
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
95 {
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
96 ComplexMatrix m = arg.complex_matrix_value ();
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
97
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
98 if (! error_state)
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
99 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5064
diff changeset
100 octave_idx_type info;
5064
a6755bc45f15 [project @ 2004-11-04 16:34:57 by jwe]
jwe
parents: 5063
diff changeset
101 double rcond = 0.0;
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
102
3808
885b296ef83a [project @ 2001-03-27 19:12:58 by jwe]
jwe
parents: 3548
diff changeset
103 ComplexMatrix result = m.inverse (info, rcond, 1);
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
104
3808
885b296ef83a [project @ 2001-03-27 19:12:58 by jwe]
jwe
parents: 3548
diff changeset
105 if (nargout > 1)
885b296ef83a [project @ 2001-03-27 19:12:58 by jwe]
jwe
parents: 3548
diff changeset
106 retval(1) = rcond;
885b296ef83a [project @ 2001-03-27 19:12:58 by jwe]
jwe
parents: 3548
diff changeset
107
885b296ef83a [project @ 2001-03-27 19:12:58 by jwe]
jwe
parents: 3548
diff changeset
108 retval(0) = result;
885b296ef83a [project @ 2001-03-27 19:12:58 by jwe]
jwe
parents: 3548
diff changeset
109
5064
a6755bc45f15 [project @ 2004-11-04 16:34:57 by jwe]
jwe
parents: 5063
diff changeset
110 volatile double xrcond = rcond;
a6755bc45f15 [project @ 2004-11-04 16:34:57 by jwe]
jwe
parents: 5063
diff changeset
111 xrcond += 1.0;
a6755bc45f15 [project @ 2004-11-04 16:34:57 by jwe]
jwe
parents: 5063
diff changeset
112 if (nargout < 2 && (info == -1 || xrcond == 1.0))
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
113 warning ("inverse: matrix singular to machine precision,\
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
114 rcond = %g", rcond);
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
115 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
116 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
117 else
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
118 {
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
119 gripe_wrong_type_arg ("inv", arg);
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
120 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
121
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
122 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
123 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
124
5775
ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe]
jwe
parents: 5307
diff changeset
125 // FIXME -- this should really be done with an alias, but
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
126 // alias_builtin() won't do the right thing if we are actually using
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
127 // dynamic linking.
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
128
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
129 DEFUN_DLD (inverse, args, nargout,
3458
d25bc039237b [project @ 2000-01-19 09:36:14 by jwe]
jwe
parents: 3372
diff changeset
130 "-*- texinfo -*-\n\
d25bc039237b [project @ 2000-01-19 09:36:14 by jwe]
jwe
parents: 3372
diff changeset
131 @deftypefn {Loadable Function} {} inverse (@var{a})\n\
d25bc039237b [project @ 2000-01-19 09:36:14 by jwe]
jwe
parents: 3372
diff changeset
132 See inv.\n\
d25bc039237b [project @ 2000-01-19 09:36:14 by jwe]
jwe
parents: 3372
diff changeset
133 @end deftypefn")
2928
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 return Finv (args, nargout);
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
136 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
137
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
138 /*
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
139 ;;; Local Variables: ***
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
140 ;;; mode: C++ ***
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
141 ;;; End: ***
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
142 */