annotate libinterp/corefcn/pinv.cc @ 29958:32c3a5805893

move DEFUN and DEFMETHOD functions inside octave namespace * mk-opts.pl: Surround emitted function definitions with OCTAVE_NAMESPACE_BEGIN and OCTAVE_NAMESPACE_END tags. * mk-builtins.pl: Surround emitted function declarations with OCTAVE_NAMESPACE_BEGIN and OCTAVE_NAMESPACE_END tags. Emit deprecated global inline functions. * __betainc__.cc, __contourc__.cc, __dsearchn__.cc, __eigs__.cc, __expint__.cc, __ftp__.cc, __gammainc__.cc, __ichol__.cc, __ilu__.cc, __lin_interpn__.cc, __magick_read__.cc, __pchip_deriv__.cc, __qp__.cc, amd.cc, balance.cc, besselj.cc, bitfcns.cc, bsxfun.cc, call-stack.cc, ccolamd.cc, cellfun.cc, chol.cc, colamd.cc, colloc.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc, debug.cc, defaults.cc, defun.cc, det.cc, dirfns.cc, display.cc, dlmread.cc, dmperm.cc, dot.cc, eig.cc, ellipj.cc, environment.cc, error.cc, event-manager.cc, fcn-info.cc, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc, gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc, graphics.cc, gsvd.cc, hash.cc, help.cc, hess.cc, hex2num.cc, input.cc, interpreter.cc, inv.cc, jsondecode.cc, jsonencode.cc, kron.cc, load-path.cc, load-save.cc, lookup.cc, ls-oct-text.cc, lsode.cc, lu.cc, mappers.cc, matrix_type.cc, max.cc, mgorth.cc, nproc.cc, oct-hist.cc, ordqz.cc, ordschur.cc, pager.cc, pinv.cc, pr-flt-fmt.cc, pr-output.cc, psi.cc, qr.cc, quad.cc, quadcc.cc, qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, settings.cc, sighandlers.cc, sparse.cc, spparms.cc, sqrtm.cc, stream-euler.cc, strfind.cc, strfns.cc, sub2ind.cc, svd.cc, sylvester.cc, symbfact.cc, symrcm.cc, symtab.cc, syscalls.cc, sysdep.cc, time.cc, toplev.cc, tril.cc, tsearch.cc, typecast.cc, urlwrite.cc, utils.cc, variables.cc, __delaunayn__.cc, __fltk_uigetfile__.cc, __glpk__.cc, __init_gnuplot__.cc, __ode15__.cc, __voronoi__.cc, audiodevinfo.cc, audioread.cc, convhulln.cc, fftw.cc, gzip.cc, ov-base.cc, ov-bool-mat.cc, ov-cell.cc, ov-class.cc, ov-classdef.cc, ov-fcn-handle.cc, ov-java.cc, ov-null-mat.cc, ov-oncleanup.cc, ov-struct.cc, ov-typeinfo.cc, ov-usr-fcn.cc, ov.cc, octave.cc, lex.ll, oct-parse.yy, profiler.cc, pt-eval.cc: Surround DEFUN and DEFMETHOD function defnitions with OCTAVE_NAMESPACE_BEGIN and OCTAVE_NAMESPACE_END tags.
author John W. Eaton <jwe@octave.org>
date Fri, 13 Aug 2021 21:53:51 -0400
parents 0a5b15007766
children 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: 14179
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: 20941
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: 20939
diff changeset
33 #include "ovl.h"
8840
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
34 #include "ops.h"
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
35 #include "ov-re-diag.h"
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
36 #include "ov-cx-diag.h"
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
37 #include "ov-flt-re-diag.h"
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
38 #include "ov-flt-cx-diag.h"
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
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: 29358
diff changeset
41 OCTAVE_NAMESPACE_BEGIN
32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 29358
diff changeset
42
15039
e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory
Rik <rik@octave.org>
parents: 14179
diff changeset
43 DEFUN (pinv, args, ,
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 {} {} pinv (@var{x})
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 {} {} pinv (@var{x}, @var{tol})
25003
2365c2661b3c doc: Spellcheck documentation ahead of 4.4 release.
Rik <rik@octave.org>
parents: 24534
diff changeset
47 Return the @nospell{Moore-Penrose} pseudoinverse of @var{x}.
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
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21724
diff changeset
49 Singular values less than @var{tol} are ignored.
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21724
diff changeset
50
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21724
diff changeset
51 If the second argument is omitted, it is taken to be
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21724
diff changeset
52
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21724
diff changeset
53 @example
24197
63fc7a75a3d7 doc: Update docstring for pinv and inv.
Rik <rik@octave.org>
parents: 23219
diff changeset
54 tol = max ([rows(@var{x}), columns(@var{x})]) * norm (@var{x}) * eps
21966
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21724
diff changeset
55 @end example
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21724
diff changeset
56
24200
140f1403d603 doc: Update docstring for pinv.
Kai T. Ohlhus <k.ohlhus@gmail.com>
parents: 24197
diff changeset
57 @seealso{inv, ldivide}
21966
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21724
diff changeset
58 @end deftypefn */)
2928
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 int nargin = args.length ();
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 if (nargin < 1 || nargin > 2)
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20555
diff changeset
63 print_usage ();
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 octave_value arg = args(0);
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
66
23577
80c42f4cca13 maint: Deprecate is_empty and replace with isempty.
Rik <rik@octave.org>
parents: 23220
diff changeset
67 if (arg.isempty ())
21127
df7891224709 maint: Use "return ovl (...)" in DEFUN macros.
Rik <rik@octave.org>
parents: 21100
diff changeset
68 return ovl (Matrix ());
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
69
20939
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20853
diff changeset
70 octave_value retval;
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20853
diff changeset
71
8840
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
72 bool isfloat = arg.is_single_type ();
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
73
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
74 if (arg.is_diag_matrix ())
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
75 {
18467
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
76 if (isfloat)
8840
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
77 {
18467
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
78 float tol = 0.0;
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
79 if (nargin == 2)
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
80 tol = args(1).float_value ();
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
81
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
82 if (tol < 0.0)
20831
35241c4b696c eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents: 20802
diff changeset
83 error ("pinv: TOL must be greater than zero");
18467
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
84
23582
0cc2011d800e maint: Deprecate is_real_type and replace with isreal.
Rik <rik@octave.org>
parents: 23581
diff changeset
85 if (arg.isreal ())
18467
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
86 retval = arg.float_diag_matrix_value ().pseudo_inverse (tol);
8840
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
87 else
18467
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
88 retval = arg.float_complex_diag_matrix_value ().pseudo_inverse (tol);
8840
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
89 }
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
90 else
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
91 {
18467
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
92 double tol = 0.0;
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
93 if (nargin == 2)
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
94 tol = args(1).double_value ();
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
95
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
96 if (tol < 0.0)
20831
35241c4b696c eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents: 20802
diff changeset
97 error ("pinv: TOL must be greater than zero");
18467
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
98
23582
0cc2011d800e maint: Deprecate is_real_type and replace with isreal.
Rik <rik@octave.org>
parents: 23581
diff changeset
99 if (arg.isreal ())
18467
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
100 retval = arg.diag_matrix_value ().pseudo_inverse (tol);
8840
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
101 else
18467
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
102 retval = arg.complex_diag_matrix_value ().pseudo_inverse (tol);
8840
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
103 }
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
104 }
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
105 else if (arg.is_perm_matrix ())
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
106 {
8960
93f18f166aba remove float perm matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
107 retval = arg.perm_matrix_value ().inverse ();
8840
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
108 }
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
109 else if (isfloat)
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
110 {
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
111 float tol = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
112 if (nargin == 2)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
113 tol = args(1).float_value ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
114
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
115 if (tol < 0.0)
20831
35241c4b696c eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents: 20802
diff changeset
116 error ("pinv: TOL must be greater than zero");
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
117
23582
0cc2011d800e maint: Deprecate is_real_type and replace with isreal.
Rik <rik@octave.org>
parents: 23581
diff changeset
118 if (arg.isreal ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
119 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
120 FloatMatrix m = arg.float_matrix_value ();
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
121
20555
f90c8372b7ba eliminate many more simple uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
122 retval = m.pseudo_inverse (tol);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
123 }
23581
c3075ae020e1 maint: Deprecate is_complex_type and replace with iscomplex.
Rik <rik@octave.org>
parents: 23577
diff changeset
124 else if (arg.iscomplex ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
125 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
126 FloatComplexMatrix m = arg.float_complex_matrix_value ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
127
20555
f90c8372b7ba eliminate many more simple uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
128 retval = m.pseudo_inverse (tol);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
129 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
130 else
21100
e39e05d90788 Switch gripe_XXX to either err_XXX or warn_XXX naming scheme.
Rik <rik@octave.org>
parents: 20941
diff changeset
131 err_wrong_type_arg ("pinv", arg);
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
132 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
133 else
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
134 {
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
135 double tol = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
136 if (nargin == 2)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
137 tol = args(1).double_value ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
138
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
139 if (tol < 0.0)
20831
35241c4b696c eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents: 20802
diff changeset
140 error ("pinv: TOL must be greater than zero");
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
141
23582
0cc2011d800e maint: Deprecate is_real_type and replace with isreal.
Rik <rik@octave.org>
parents: 23581
diff changeset
142 if (arg.isreal ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
143 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
144 Matrix m = arg.matrix_value ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
145
20555
f90c8372b7ba eliminate many more simple uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
146 retval = m.pseudo_inverse (tol);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
147 }
23581
c3075ae020e1 maint: Deprecate is_complex_type and replace with iscomplex.
Rik <rik@octave.org>
parents: 23577
diff changeset
148 else if (arg.iscomplex ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
149 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
150 ComplexMatrix m = arg.complex_matrix_value ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
151
20555
f90c8372b7ba eliminate many more simple uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
152 retval = m.pseudo_inverse (tol);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
153 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
154 else
21100
e39e05d90788 Switch gripe_XXX to either err_XXX or warn_XXX naming scheme.
Rik <rik@octave.org>
parents: 20941
diff changeset
155 err_wrong_type_arg ("pinv", arg);
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
156 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
157
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
158 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
159 }
13042
ca7aaf2689c3 codesprint: 8 tests for pinv.cc
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents: 12642
diff changeset
160
ca7aaf2689c3 codesprint: 8 tests for pinv.cc
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents: 12642
diff changeset
161 /*
13079
9512d7272d5b codesprint: Fix tolerance for pinv test
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents: 13042
diff changeset
162 %!shared a, b, tol, hitol, d, u, x, y
25124
435645a627dd Fix random seed for pinv BIST tests (bug #53560).
Rik <rik@octave.org>
parents: 25054
diff changeset
163 %! old_state = rand ("state");
435645a627dd Fix random seed for pinv BIST tests (bug #53560).
Rik <rik@octave.org>
parents: 25054
diff changeset
164 %! restore_state = onCleanup (@() rand ("state", old_state));
435645a627dd Fix random seed for pinv BIST tests (bug #53560).
Rik <rik@octave.org>
parents: 25054
diff changeset
165 %! rand ("state", 42); # initialize generator to make behavior reproducible
17336
b81b9d079515 Use '##' for comments which stand alone on a line.
Rik <rik@octave.org>
parents: 15195
diff changeset
166 %! a = reshape (rand*[1:16], 4, 4); # Rank 2 matrix
13042
ca7aaf2689c3 codesprint: 8 tests for pinv.cc
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents: 12642
diff changeset
167 %! b = pinv (a);
14179
a7a020cd6106 Relax tolerance for pinv tests so that it fails less than 1% of the time.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
168 %! tol = 4e-14;
a7a020cd6106 Relax tolerance for pinv tests so that it fails less than 1% of the time.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
169 %! hitol = 40*sqrt (eps);
13042
ca7aaf2689c3 codesprint: 8 tests for pinv.cc
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents: 12642
diff changeset
170 %! d = diag ([rand, rand, hitol, hitol]);
17336
b81b9d079515 Use '##' for comments which stand alone on a line.
Rik <rik@octave.org>
parents: 15195
diff changeset
171 %! u = rand (4); # Could be singular by freak accident
13042
ca7aaf2689c3 codesprint: 8 tests for pinv.cc
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents: 12642
diff changeset
172 %! x = inv (u)*d*u;
14179
a7a020cd6106 Relax tolerance for pinv tests so that it fails less than 1% of the time.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
173 %! y = pinv (x, sqrt (eps));
25124
435645a627dd Fix random seed for pinv BIST tests (bug #53560).
Rik <rik@octave.org>
parents: 25054
diff changeset
174
435645a627dd Fix random seed for pinv BIST tests (bug #53560).
Rik <rik@octave.org>
parents: 25054
diff changeset
175 ## Verify Penrose conditions for pseudoinverse
14179
a7a020cd6106 Relax tolerance for pinv tests so that it fails less than 1% of the time.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
176 %!assert (a*b*a, a, tol)
a7a020cd6106 Relax tolerance for pinv tests so that it fails less than 1% of the time.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
177 %!assert (b*a*b, b, tol)
a7a020cd6106 Relax tolerance for pinv tests so that it fails less than 1% of the time.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
178 %!assert ((b*a)', b*a, tol)
a7a020cd6106 Relax tolerance for pinv tests so that it fails less than 1% of the time.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
179 %!assert ((a*b)', a*b, tol)
a7a020cd6106 Relax tolerance for pinv tests so that it fails less than 1% of the time.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
180 %!assert (x*y*x, x, -hitol)
a7a020cd6106 Relax tolerance for pinv tests so that it fails less than 1% of the time.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
181 %!assert (y*x*y, y, -hitol)
a7a020cd6106 Relax tolerance for pinv tests so that it fails less than 1% of the time.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
182 %!assert ((x*y)', x*y, hitol)
a7a020cd6106 Relax tolerance for pinv tests so that it fails less than 1% of the time.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
183 %!assert ((y*x)', y*x, hitol)
18494
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
184
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
185 ## Clear shared variables
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
186 %!shared
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
187
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
188 ## Test pinv for Diagonal matrices
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
189 %!test
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
190 %! x = diag ([3 2 1 0 -0.5]);
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
191 %! y = pinv (x);
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
192 %! assert (typeinfo (y)(1:8), "diagonal");
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
193 %! assert (isa (y, "double"));
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
194 %! assert (diag (y), [1/3, 1/2, 1, 0 1/-0.5]');
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
195 %! y = pinv (x, 1);
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
196 %! assert (diag (y), [1/3 1/2 1 0 0]');
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
197 %! y = pinv (x, 2);
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
198 %! assert (diag (y), [1/3 1/2 0 0 0]');
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
199
24195
d3dc76efb38b Return correct value for pinv of zero vectors and scalars (bug #51246).
Rik <rik@octave.org>
parents: 23582
diff changeset
200 ## Test special case of 0 scalars and vectors
d3dc76efb38b Return correct value for pinv of zero vectors and scalars (bug #51246).
Rik <rik@octave.org>
parents: 23582
diff changeset
201 %!assert (pinv (0), 0)
d3dc76efb38b Return correct value for pinv of zero vectors and scalars (bug #51246).
Rik <rik@octave.org>
parents: 23582
diff changeset
202 %!assert (pinv ([0, 0, 0]), [0; 0; 0])
d3dc76efb38b Return correct value for pinv of zero vectors and scalars (bug #51246).
Rik <rik@octave.org>
parents: 23582
diff changeset
203 %!assert (pinv (single (0)), single (0))
d3dc76efb38b Return correct value for pinv of zero vectors and scalars (bug #51246).
Rik <rik@octave.org>
parents: 23582
diff changeset
204 %!assert (pinv (single ([0, 0, 0])), single ([0; 0; 0]))
d3dc76efb38b Return correct value for pinv of zero vectors and scalars (bug #51246).
Rik <rik@octave.org>
parents: 23582
diff changeset
205 %!assert (pinv (complex (0,0)), 0)
d3dc76efb38b Return correct value for pinv of zero vectors and scalars (bug #51246).
Rik <rik@octave.org>
parents: 23582
diff changeset
206 %!assert (pinv (complex ([0,0,0], [0,0,0])), [0; 0; 0])
d3dc76efb38b Return correct value for pinv of zero vectors and scalars (bug #51246).
Rik <rik@octave.org>
parents: 23582
diff changeset
207 %!assert (pinv (complex (single (0),0)), single (0))
d3dc76efb38b Return correct value for pinv of zero vectors and scalars (bug #51246).
Rik <rik@octave.org>
parents: 23582
diff changeset
208 %!assert (pinv (complex (single ([0,0,0]), [0,0,0])), single ([0; 0; 0]))
13042
ca7aaf2689c3 codesprint: 8 tests for pinv.cc
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents: 12642
diff changeset
209 */
29958
32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 29358
diff changeset
210
32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 29358
diff changeset
211 OCTAVE_NAMESPACE_END