annotate libinterp/corefcn/inv.cc @ 30554:117ebe363f56 stable

Fix handling of scalar exceptional values in inv() (bug #61689) * inv.cc (Finv): Pass "true" rather than '1' to inverse() function to match 'bool' argument. Pass 5th argument of true to inverse() to force calculation of condition number. Rename variable "rcond_plus_one_eq_one" to "is_singular" for clarity. Use isnan() to also catch singular matrices with NaN as reciprocal condition number. Don't emit warning for inverse of a scalar which thereby matches '/' and '\' operators. Add many BIST tests for various exceptional value inputs. * CMatrix.cc, dMatrix.cc, fCMatrix.cc, fMatrix.cc (inverse): Expand if conditional for MatrixType::Diagonal to check input parameter "calc_cond" and use an if/else tree to determine the reciprocal condition number (rcond) for a scalar.
author Rik <rik@octave.org>
date Sat, 25 Dec 2021 19:16:44 -0800
parents 98400baa509f
children 72cea722ca21 796f54d4ddbf
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
27923
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
1 ////////////////////////////////////////////////////////////////////////
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
2 //
29358
0a5b15007766 update Octave Project Developers copyright for the new year
John W. Eaton <jwe@octave.org>
parents: 27923
diff changeset
3 // Copyright (C) 1996-2021 The Octave Project Developers
27923
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
4 //
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
5 // See the file COPYRIGHT.md in the top-level directory of this
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
6 // distribution or <https://octave.org/copyright/>.
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
7 //
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
8 // This file is part of Octave.
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
9 //
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
10 // Octave is free software: you can redistribute it and/or modify it
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
11 // under the terms of the GNU General Public License as published by
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
12 // the Free Software Foundation, either version 3 of the License, or
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
13 // (at your option) any later version.
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
14 //
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
15 // Octave is distributed in the hope that it will be useful, but
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
16 // WITHOUT ANY WARRANTY; without even the implied warranty of
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
18 // GNU General Public License for more details.
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
19 //
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
20 // You should have received a copy of the GNU General Public License
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
21 // along with Octave; see the file COPYING. If not, see
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
22 // <https://www.gnu.org/licenses/>.
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
23 //
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
24 ////////////////////////////////////////////////////////////////////////
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
25
21724
aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef"
John W. Eaton <jwe@octave.org>
parents: 21301
diff changeset
26 #if defined (HAVE_CONFIG_H)
21301
40de9f8f23a6 Use '#include "config.h"' rather than <config.h>.
Rik <rik@octave.org>
parents: 21200
diff changeset
27 # include "config.h"
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
28 #endif
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
29
15039
e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory
Rik <rik@octave.org>
parents: 14501
diff changeset
30 #include "defun.h"
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
31 #include "error.h"
21100
e39e05d90788 Switch gripe_XXX to either err_XXX or warn_XXX naming scheme.
Rik <rik@octave.org>
parents: 21024
diff changeset
32 #include "errwarn.h"
20940
48b2ad5ee801 maint: Rename oct-obj.[cc|h] to ovl.[cc|h] for clarity.
Rik <rik@octave.org>
parents: 20898
diff changeset
33 #include "ovl.h"
8366
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
34 #include "ops.h"
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
35 #include "ov-re-diag.h"
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
36 #include "ov-cx-diag.h"
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
37 #include "ov-flt-re-diag.h"
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
38 #include "ov-flt-cx-diag.h"
8371
c3f7e2549abb make det & inv aware of diagonal & permutation matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 8366
diff changeset
39 #include "ov-perm.h"
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
40
29958
32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 29359
diff changeset
41 OCTAVE_NAMESPACE_BEGIN
32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 29359
diff changeset
42
15039
e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory
Rik <rik@octave.org>
parents: 14501
diff changeset
43 DEFUN (inv, args, nargout,
21966
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21724
diff changeset
44 doc: /* -*- texinfo -*-
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21724
diff changeset
45 @deftypefn {} {@var{x} =} inv (@var{A})
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21724
diff changeset
46 @deftypefnx {} {[@var{x}, @var{rcond}] =} inv (@var{A})
27253
7f5008aec7a1 doc: Add function index entry for alias "inverse" bug #56629).
Rik <rik@octave.org>
parents: 26376
diff changeset
47 @deftypefnx {} {[@dots{}] =} inverse (@dots{})
21966
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21724
diff changeset
48 Compute the inverse of the square matrix @var{A}.
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21724
diff changeset
49
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21724
diff changeset
50 Return an estimate of the reciprocal condition number if requested,
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21724
diff changeset
51 otherwise warn of an ill-conditioned matrix if the reciprocal condition
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21724
diff changeset
52 number is small.
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21724
diff changeset
53
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21724
diff changeset
54 In general it is best to avoid calculating the inverse of a matrix directly.
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21724
diff changeset
55 For example, it is both faster and more accurate to solve systems of
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21724
diff changeset
56 equations (@var{A}*@math{x} = @math{b}) with
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21724
diff changeset
57 @code{@var{y} = @var{A} \ @math{b}}, rather than
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21724
diff changeset
58 @code{@var{y} = inv (@var{A}) * @math{b}}.
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21724
diff changeset
59
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21724
diff changeset
60 If called with a sparse matrix, then in general @var{x} will be a full
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21724
diff changeset
61 matrix requiring significantly more storage. Avoid forming the inverse of a
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21724
diff changeset
62 sparse matrix if possible.
27253
7f5008aec7a1 doc: Add function index entry for alias "inverse" bug #56629).
Rik <rik@octave.org>
parents: 26376
diff changeset
63
7f5008aec7a1 doc: Add function index entry for alias "inverse" bug #56629).
Rik <rik@octave.org>
parents: 26376
diff changeset
64 @code{inverse} is an alias and may be used identically in place of @code{inv}.
24197
63fc7a75a3d7 doc: Update docstring for pinv and inv.
Rik <rik@octave.org>
parents: 23219
diff changeset
65 @seealso{ldivide, rdivide, pinv}
21966
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21724
diff changeset
66 @end deftypefn */)
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
67 {
20819
f428cbe7576f eliminate unnecessary uses of nargin
John W. Eaton <jwe@octave.org>
parents: 20802
diff changeset
68 if (args.length () != 1)
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20678
diff changeset
69 print_usage ();
2928
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 octave_value arg = args(0);
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
72
23577
80c42f4cca13 maint: Deprecate is_empty and replace with isempty.
Rik <rik@octave.org>
parents: 23453
diff changeset
73 if (arg.isempty ())
21127
df7891224709 maint: Use "return ovl (...)" in DEFUN macros.
Rik <rik@octave.org>
parents: 21112
diff changeset
74 return ovl (Matrix ());
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
75
22372
0c0de2205d38 utils.h: deprecated out of date arg_is_empty function.
Carnë Draug <carandraug@octave.org>
parents: 22327
diff changeset
76 if (arg.rows () != arg.columns ())
21110
3d0d84305600 Use err_square_matrix_required more widely.
Rik <rik@octave.org>
parents: 21100
diff changeset
77 err_square_matrix_required ("inverse", "A");
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
78
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
79 octave_value result;
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
80 octave_idx_type info;
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
81 double rcond = 0.0;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7650
diff changeset
82 float frcond = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7650
diff changeset
83 bool isfloat = arg.is_single_type ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7650
diff changeset
84
8366
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
85 if (arg.is_diag_matrix ())
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
86 {
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
87 rcond = 1.0;
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
88 frcond = 1.0f;
23581
c3075ae020e1 maint: Deprecate is_complex_type and replace with iscomplex.
Rik <rik@octave.org>
parents: 23577
diff changeset
89 if (arg.iscomplex ())
8366
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
90 {
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
91 if (isfloat)
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
92 {
8916
a2878ba31a9e add diag & perm matrix query methods to octave_value
Jaroslav Hajek <highegg@gmail.com>
parents: 8371
diff changeset
93 result = arg.float_complex_diag_matrix_value ().inverse (info);
27093
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
94 if (info == -1)
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
95 frcond = 0.0f;
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
96 else if (nargout > 1)
8916
a2878ba31a9e add diag & perm matrix query methods to octave_value
Jaroslav Hajek <highegg@gmail.com>
parents: 8371
diff changeset
97 frcond = arg.float_complex_diag_matrix_value ().rcond ();
8366
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
98 }
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
99 else
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
100 {
8916
a2878ba31a9e add diag & perm matrix query methods to octave_value
Jaroslav Hajek <highegg@gmail.com>
parents: 8371
diff changeset
101 result = arg.complex_diag_matrix_value ().inverse (info);
27093
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
102 if (info == -1)
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
103 rcond = 0.0;
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
104 else if (nargout > 1)
8916
a2878ba31a9e add diag & perm matrix query methods to octave_value
Jaroslav Hajek <highegg@gmail.com>
parents: 8371
diff changeset
105 rcond = arg.complex_diag_matrix_value ().rcond ();
8366
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
106 }
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
107 }
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
108 else
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
109 {
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
110 if (isfloat)
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
111 {
8916
a2878ba31a9e add diag & perm matrix query methods to octave_value
Jaroslav Hajek <highegg@gmail.com>
parents: 8371
diff changeset
112 result = arg.float_diag_matrix_value ().inverse (info);
27093
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
113 if (info == -1)
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
114 frcond = 0.0f;
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
115 else if (nargout > 1)
8916
a2878ba31a9e add diag & perm matrix query methods to octave_value
Jaroslav Hajek <highegg@gmail.com>
parents: 8371
diff changeset
116 frcond = arg.float_diag_matrix_value ().rcond ();
8366
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
117 }
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
118 else
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
119 {
8916
a2878ba31a9e add diag & perm matrix query methods to octave_value
Jaroslav Hajek <highegg@gmail.com>
parents: 8371
diff changeset
120 result = arg.diag_matrix_value ().inverse (info);
27093
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
121 if (info == -1)
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
122 rcond = 0.0;
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
123 else if (nargout > 1)
8916
a2878ba31a9e add diag & perm matrix query methods to octave_value
Jaroslav Hajek <highegg@gmail.com>
parents: 8371
diff changeset
124 rcond = arg.diag_matrix_value ().rcond ();
8366
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
125 }
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
126 }
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
127 }
8371
c3f7e2549abb make det & inv aware of diagonal & permutation matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 8366
diff changeset
128 else if (arg.is_perm_matrix ())
c3f7e2549abb make det & inv aware of diagonal & permutation matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 8366
diff changeset
129 {
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
130 info = 0;
8371
c3f7e2549abb make det & inv aware of diagonal & permutation matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 8366
diff changeset
131 rcond = 1.0;
8960
93f18f166aba remove float perm matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
132 result = arg.perm_matrix_value ().inverse ();
8371
c3f7e2549abb make det & inv aware of diagonal & permutation matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 8366
diff changeset
133 }
8366
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
134 else if (isfloat)
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
135 {
23582
0cc2011d800e maint: Deprecate is_real_type and replace with isreal.
Rik <rik@octave.org>
parents: 23581
diff changeset
136 if (arg.isreal ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
137 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
138 FloatMatrix m = arg.float_matrix_value ();
20678
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
139
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
140 MatrixType mattyp = args(0).matrix_type ();
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
141 result = m.inverse (mattyp, info, frcond, true, true);
20678
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
142 args(0).matrix_type (mattyp);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
143 }
23581
c3075ae020e1 maint: Deprecate is_complex_type and replace with iscomplex.
Rik <rik@octave.org>
parents: 23577
diff changeset
144 else if (arg.iscomplex ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
145 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
146 FloatComplexMatrix m = arg.float_complex_matrix_value ();
20678
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
147
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
148 MatrixType mattyp = args(0).matrix_type ();
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
149 result = m.inverse (mattyp, info, frcond, true, true);
20678
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
150 args(0).matrix_type (mattyp);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
151 }
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
152 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7650
diff changeset
153 else
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
154 {
23582
0cc2011d800e maint: Deprecate is_real_type and replace with isreal.
Rik <rik@octave.org>
parents: 23581
diff changeset
155 if (arg.isreal ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
156 {
23583
b7747a2c88b2 maint: Deprecate is_sparse_type and replace with issparse.
Rik <rik@octave.org>
parents: 23582
diff changeset
157 if (arg.issparse ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
158 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
159 SparseMatrix m = arg.sparse_matrix_value ();
20678
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
160
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
161 MatrixType mattyp = args(0).matrix_type ();
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
162 result = m.inverse (mattyp, info, rcond, true, true);
20678
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
163 args(0).matrix_type (mattyp);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
164 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
165 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
166 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
167 Matrix m = arg.matrix_value ();
20678
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
168
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
169 MatrixType mattyp = args(0).matrix_type ();
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
170 result = m.inverse (mattyp, info, rcond, true, true);
20678
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
171 args(0).matrix_type (mattyp);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
172 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
173 }
23581
c3075ae020e1 maint: Deprecate is_complex_type and replace with iscomplex.
Rik <rik@octave.org>
parents: 23577
diff changeset
174 else if (arg.iscomplex ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
175 {
23583
b7747a2c88b2 maint: Deprecate is_sparse_type and replace with issparse.
Rik <rik@octave.org>
parents: 23582
diff changeset
176 if (arg.issparse ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
177 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
178 SparseComplexMatrix m = arg.sparse_complex_matrix_value ();
20678
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
179
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
180 MatrixType mattyp = args(0).matrix_type ();
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
181 result = m.inverse (mattyp, info, rcond, true, true);
20678
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
182 args(0).matrix_type (mattyp);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
183 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
184 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
185 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
186 ComplexMatrix m = arg.complex_matrix_value ();
20678
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
187
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
188 MatrixType mattyp = args(0).matrix_type ();
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
189 result = m.inverse (mattyp, info, rcond, true, true);
20678
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
190 args(0).matrix_type (mattyp);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
191 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
192 }
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
193 else
21100
e39e05d90788 Switch gripe_XXX to either err_XXX or warn_XXX naming scheme.
Rik <rik@octave.org>
parents: 21024
diff changeset
194 err_wrong_type_arg ("inv", arg);
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
195 }
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
196
20898
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20892
diff changeset
197 octave_value_list retval (nargout > 1 ? 2 : 1);
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20892
diff changeset
198
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20892
diff changeset
199 retval(0) = result;
20678
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
200 if (nargout > 1)
23450
855122b993da maint: Wrap tertiary operator in parentheses "(COND ? x : y)".
Rik <rik@octave.org>
parents: 23220
diff changeset
201 retval(1) = (isfloat ? octave_value (frcond) : octave_value (rcond));
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
202
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
203 if (nargout < 2)
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
204 {
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
205 bool is_singular;
18243
36057e2411f8 test float rcond using float arithmetic in inv function (bug #41065)
John W. Eaton <jwe@octave.org>
parents: 17787
diff changeset
206
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
207 if (isfloat)
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
208 is_singular = ((frcond + 1.0f == 1.0f) || octave::math::isnan (frcond))
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
209 && ! arg.is_scalar_type ();
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
210 else
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
211 is_singular = ((rcond + 1.0 == 1.0) || octave::math::isnan (rcond))
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
212 && ! arg.is_scalar_type ();
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
213
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
214 if (info == -1 || is_singular)
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
215 warn_singular_matrix (isfloat ? frcond : rcond);
20678
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
216 }
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
217
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
218 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
219 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
220
7814
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
221 /*
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
222 ## Basic test for double/single matrices
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
223 %!assert (inv ([1, 2; 3, 4]), [-2, 1; 1.5, -0.5], 5*eps)
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
224 %!test
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
225 %! [xinv, rcond] = inv ([1,2;3,4]);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
226 %! assert (xinv, [-2, 1; 1.5, -0.5], 5*eps);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
227 %! assert (isa (rcond, "double"));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
228
30313
98400baa509f Return Inf for inv(0) for compatibility with division operator and Matlab (bug #52285).
Rik <rik@octave.org>
parents: 29961
diff changeset
229 %!assert (inv (single ([1, 2; 3, 4])), single ([-2, 1; 1.5, -0.5]),
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
230 %! 5*eps ("single"))
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
231 %!test
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
232 %! [xinv, rcond] = inv (single ([1,2;3,4]));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
233 %! assert (xinv, single ([-2, 1; 1.5, -0.5]), 5*eps ("single"));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
234 %! assert (isa (rcond, "single"));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
235
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
236 ## Normal scalar cases
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
237 %!assert (inv (2), 0.5)
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
238 %!test
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
239 %! [xinv, rcond] = inv (2);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
240 %! assert (xinv, 0.5);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
241 %! assert (rcond, 1);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
242 %!assert (inv (single (2)), single (0.5))
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
243 %!test
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
244 %! [xinv, rcond] = inv (single (2));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
245 %! assert (xinv, single (0.5));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
246 %! assert (rcond, single (1));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
247 %!assert (inv (complex (1, -1)), 0.5+0.5i)
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
248 %!test
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
249 %! [xinv, rcond] = inv (complex (1, -1));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
250 %! assert (xinv, 0.5+0.5i);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
251 %! assert (rcond, 1);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
252 %!assert (inv (complex (single (1), -1)), single (0.5+0.5i))
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
253 %!test
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
254 %! [xinv, rcond] = inv (complex (single (1), -1));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
255 %! assert (xinv, single (0.5+0.5i));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
256 %! assert (rcond, single (1));
7814
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
257
22849
1d242ae72240 Return 0 for special case of scalar Inf input to inverse (bug #49690).
Rik <rik@octave.org>
parents: 22755
diff changeset
258 ## Test special inputs
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
259 ## Empty matrix
22849
1d242ae72240 Return 0 for special case of scalar Inf input to inverse (bug #49690).
Rik <rik@octave.org>
parents: 22755
diff changeset
260 %!assert (inv (zeros (2,0)), [])
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
261
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
262 ## Scalar "0"
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
263 %!assert (inv (0), Inf)
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
264 %!test
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
265 %! [xinv, rcond] = inv (0);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
266 %! assert (xinv, Inf);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
267 %! assert (rcond, 0);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
268 %!assert (inv (single (0)), single (Inf))
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
269 %!test
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
270 %! [xinv, rcond] = inv (single (0));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
271 %! assert (xinv, single (Inf));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
272 %! assert (rcond, single (0));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
273 %!assert (inv (complex (0, 0)), Inf)
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
274 %!test
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
275 %! [xinv, rcond] = inv (complex (0, 0));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
276 %! assert (xinv, Inf);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
277 %! assert (rcond, 0);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
278 %!assert (inv (complex (single (0), 0)), single (Inf))
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
279 %!test
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
280 %! [xinv, rcond] = inv (complex (single (0), 0));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
281 %! assert (xinv, single (Inf));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
282 %! assert (rcond, single (0));
30313
98400baa509f Return Inf for inv(0) for compatibility with division operator and Matlab (bug #52285).
Rik <rik@octave.org>
parents: 29961
diff changeset
283 ## NOTE: Matlab returns +Inf for -0 input, but it returns -Inf for 1/-0.
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
284 ## These should be the same, and in Octave they are.
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
285 %!assert (inv (-0), -Inf)
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
286 %!test
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
287 %! [xinv, rcond] = inv (-0);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
288 %! assert (xinv, -Inf);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
289 %! assert (rcond, 0);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
290
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
291 ## Scalar "Inf"
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
292 %!assert (inv (Inf), 0)
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
293 %!test
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
294 %! [xinv, rcond] = inv (Inf);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
295 %! assert (xinv, 0);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
296 %! assert (rcond, 0);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
297 %!assert (inv (single (Inf)), single (0))
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
298 %!test
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
299 %! [xinv, rcond] = inv (single (Inf));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
300 %! assert (xinv, single (0));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
301 %! assert (rcond, single (0));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
302 %!assert (inv (complex (1, Inf)), 0)
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
303 %!test
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
304 %! [xinv, rcond] = inv (complex (1, Inf));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
305 %! assert (xinv, 0);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
306 %! assert (rcond, 0);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
307 %!assert (inv (complex (single (1), Inf)), single (0))
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
308 %!test
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
309 %! [xinv, rcond] = inv (complex (single (1), Inf));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
310 %! assert (xinv, single (0));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
311 %! assert (rcond, single (0));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
312
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
313 ## Scalar "NaN"
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
314 %!assert (inv (NaN), NaN)
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
315 %!test
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
316 %! [xinv, rcond] = inv (NaN);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
317 %! assert (xinv, NaN);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
318 %! assert (rcond, NaN);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
319 %!assert (inv (single (NaN)), single (NaN))
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
320 %!test
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
321 %! [xinv, rcond] = inv (single (NaN));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
322 %! assert (xinv, single (NaN));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
323 %! assert (rcond, single (NaN));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
324 %!assert (inv (complex (1, NaN)), complex (NaN, NaN))
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
325 %!test
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
326 %! [xinv, rcond] = inv (complex (1, NaN));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
327 %! assert (xinv, complex (NaN, NaN));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
328 %! assert (rcond, NaN);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
329 %!assert (inv (complex (single (1), NaN)), complex (single (NaN), NaN))
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
330 %!test
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
331 %! [xinv, rcond] = inv (complex (single (1), NaN));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
332 %! assert (xinv, complex (single (NaN), NaN));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
333 %! assert (rcond, single (NaN));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
334
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
335 ## Matrix special values
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
336 ## Matrix of all zeroes
30313
98400baa509f Return Inf for inv(0) for compatibility with division operator and Matlab (bug #52285).
Rik <rik@octave.org>
parents: 29961
diff changeset
337 %!warning <matrix singular> assert (inv (zeros (2,2)), Inf (2,2))
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
338 %!test
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
339 %! [xinv, rcond] = inv (zeros (2,2));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
340 %! assert (xinv, Inf (2,2));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
341 %! assert (rcond, 0);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
342 ## Matrix of all Inf
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
343 %!warning <rcond = > assert (inv (Inf (2,2)), NaN (2,2))
22849
1d242ae72240 Return 0 for special case of scalar Inf input to inverse (bug #49690).
Rik <rik@octave.org>
parents: 22755
diff changeset
344 %!test
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
345 %! [xinv, rcond] = inv (Inf (2,2));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
346 %! assert (xinv, NaN (2,2));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
347 %! assert (rcond, NaN);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
348 ## Matrix of all NaN
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
349 %!warning <rcond = > assert (inv (NaN (2,2)), NaN (2,2))
22849
1d242ae72240 Return 0 for special case of scalar Inf input to inverse (bug #49690).
Rik <rik@octave.org>
parents: 22755
diff changeset
350 %!test
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
351 %! [xinv, rcond] = inv (NaN (2,2));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
352 %! assert (xinv, NaN (2,2));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
353 %! assert (rcond, NaN);
22849
1d242ae72240 Return 0 for special case of scalar Inf input to inverse (bug #49690).
Rik <rik@octave.org>
parents: 22755
diff changeset
354
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
355 ## Special diagonal matrices
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
356 %!test
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
357 %! fail ("A = inv (diag ([1, 0, 1]))", "warning", "matrix singular");
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
358 %! assert (A, diag ([Inf, Inf, Inf]));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
359
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
360 ## Special sparse matrices
27122
d0d176ac575d make new tests for inv of singular sparse matrices conditional on HAVE_UMFPACK
John W. Eaton <jwe@octave.org>
parents: 27093
diff changeset
361 %!testif HAVE_UMFPACK <*56232>
27093
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
362 %! fail ("A = inv (sparse ([1, 2;0 ,0]))", "warning", "matrix singular");
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
363 %! assert (A, sparse ([Inf, Inf; 0, 0]));
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
364
27122
d0d176ac575d make new tests for inv of singular sparse matrices conditional on HAVE_UMFPACK
John W. Eaton <jwe@octave.org>
parents: 27093
diff changeset
365 %!testif HAVE_UMFPACK <*56232>
27093
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
366 %! fail ("A = inv (sparse ([1i, 2;0 ,0]))", "warning", "matrix singular");
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
367 %! assert (A, sparse ([Inf, Inf; 0, 0]));
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
368
27122
d0d176ac575d make new tests for inv of singular sparse matrices conditional on HAVE_UMFPACK
John W. Eaton <jwe@octave.org>
parents: 27093
diff changeset
369 %!testif HAVE_UMFPACK <*56232>
27093
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
370 %! fail ("A = inv (sparse ([1, 0, 0; 0, 0, 0; 0, 0, 1]))", "warning", "matrix singular");
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
371 %! assert (A, sparse ([Inf, 0, 0; 0, 0, 0; 0, 0, Inf]));
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
372
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
373 %!error inv ()
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
374 %!error inv ([1, 2; 3, 4], 2)
21110
3d0d84305600 Use err_square_matrix_required more widely.
Rik <rik@octave.org>
parents: 21100
diff changeset
375 %!error <must be a square matrix> inv ([1, 2; 3, 4; 5, 6])
27093
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
376 %!error <inverse of the null matrix not defined> inv (sparse (2, 2, 0))
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
377 %!error <inverse of the null matrix not defined> inv (diag ([0, 0]))
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
378 %!error <inverse of the null matrix not defined> inv (diag (complex ([0, 0])))
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
379 */
7814
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
380
23453
2eb7dc15f9fa use DEFALIAS to define inverse
John W. Eaton <jwe@octave.org>
parents: 23450
diff changeset
381 DEFALIAS (inverse, inv);
29958
32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 29359
diff changeset
382
32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 29359
diff changeset
383 OCTAVE_NAMESPACE_END