octave: libinterp/corefcn/pinv.cc annotate

annotate libinterp/corefcn/pinv.cc @ 24195:d3dc76efb38b

Return correct value for pinv of zero vectors and scalars (bug #51246). CMatrix.cc, dMatrix.cc (pseudo_inverse): Change any computed tolerance of 0 to std::numeric_limits<double>::min() so that zero values are later dropped from calculation. fCMatrix.cc, fMatrix.cc (pseudo_inverse): Change calculation of default tolerance to us the <float> version of std::numeric_limits::epsilon () rather than the double version. Change any computed tolerance of 0 to std::numeric_limits<float>::min() so that zero values are later dropped from calculation. * pinv.cc (Fpinv): Add BIST tests.

author	Rik <rik@octave.org>
date	Fri, 03 Nov 2017 10:03:36 -0700
parents	0cc2011d800e
children	11cdca79d316

rev	line source
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	1 /*
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	2
23219 3ac9f9ecfae5 maint: Update copyright dates. John W. Eaton <jwe@octave.org> parents: 23083 diff changeset	3 Copyright (C) 1996-2017 John W. Eaton
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	4
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	5 This file is part of Octave.
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	6
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	7 Octave is free software; you can redistribute it and/or modify it
22755 3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22407 diff changeset	8 under the terms of the GNU General Public License as published by
3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22407 diff changeset	9 the Free Software Foundation; either version 3 of the License, or
3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22407 diff changeset	10 (at your option) any later version.
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	11
22755 3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22407 diff changeset	12 Octave is distributed in the hope that it will be useful, but
3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22407 diff changeset	13 WITHOUT ANY WARRANTY; without even the implied warranty of
3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22407 diff changeset	14 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22407 diff changeset	15 GNU General Public License for more details.
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	16
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	17 You should have received a copy of the GNU General Public License
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 5823 diff changeset	18 along with Octave; see the file COPYING. If not, see
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 5823 diff changeset	19 <http://www.gnu.org/licenses/>.
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	20
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	21 */
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	22
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21301 diff changeset	23 #if defined (HAVE_CONFIG_H)
21301 40de9f8f23a6 Use '#include "config.h"' rather than <config.h>. Rik <rik@octave.org> parents: 21200 diff changeset	24 # include "config.h"
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	25 #endif
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	26
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14179 diff changeset	27 #include "defun.h"
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	28 #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	29 #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	30 #include "ovl.h"
8840 c690e3772583 support diagonal matrices in pinv Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	31 #include "ops.h"
c690e3772583 support diagonal matrices in pinv Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	32 #include "ov-re-diag.h"
c690e3772583 support diagonal matrices in pinv Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	33 #include "ov-cx-diag.h"
c690e3772583 support diagonal matrices in pinv Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	34 #include "ov-flt-re-diag.h"
c690e3772583 support diagonal matrices in pinv Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	35 #include "ov-flt-cx-diag.h"
c690e3772583 support diagonal matrices in pinv Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	36 #include "ov-perm.h"
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	37
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14179 diff changeset	38 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	39 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	40 @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	41 @deftypefnx {} {} pinv (@var{x}, @var{tol})
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21724 diff changeset	42 Return the pseudoinverse of @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	43
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21724 diff changeset	44 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	45
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21724 diff changeset	46 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	47
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21724 diff changeset	48 @example
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21724 diff changeset	49 tol = max (size (@var{x})) * sigma_max (@var{x}) * eps,
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21724 diff changeset	50 @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	51
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21724 diff changeset	52 @noindent
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21724 diff changeset	53 where @code{sigma_max (@var{x})} is the maximal singular value of @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	54 @end deftypefn */)
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	55 {
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	56 int nargin = args.length ();
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	57
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	58 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	59 print_usage ();
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	60
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	61 octave_value arg = args(0);
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	62
23577 80c42f4cca13 maint: Deprecate is_empty and replace with isempty. Rik <rik@octave.org> parents: 23220 diff changeset	63 if (arg.isempty ())
21127 df7891224709 maint: Use "return ovl (...)" in DEFUN macros. Rik <rik@octave.org> parents: 21100 diff changeset	64 return ovl (Matrix ());
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	65
20939 b17fda023ca6 maint: Use new C++ archetype in more files. Rik <rik@octave.org> parents: 20853 diff changeset	66 octave_value retval;
b17fda023ca6 maint: Use new C++ archetype in more files. Rik <rik@octave.org> parents: 20853 diff changeset	67
8840 c690e3772583 support diagonal matrices in pinv Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	68 bool isfloat = arg.is_single_type ();
c690e3772583 support diagonal matrices in pinv Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	69
c690e3772583 support diagonal matrices in pinv Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	70 if (arg.is_diag_matrix ())
c690e3772583 support diagonal matrices in pinv Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	71 {
18467 c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546). Rik <rik@octave.org> parents: 17787 diff changeset	72 if (isfloat)
8840 c690e3772583 support diagonal matrices in pinv Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	73 {
18467 c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546). Rik <rik@octave.org> parents: 17787 diff changeset	74 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	75 if (nargin == 2)
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546). Rik <rik@octave.org> parents: 17787 diff changeset	76 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	77
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546). Rik <rik@octave.org> parents: 17787 diff changeset	78 if (tol < 0.0)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	79 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	80
23582 0cc2011d800e maint: Deprecate is_real_type and replace with isreal. Rik <rik@octave.org> parents: 23581 diff changeset	81 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	82 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	83 else
18467 c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546). Rik <rik@octave.org> parents: 17787 diff changeset	84 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	85 }
c690e3772583 support diagonal matrices in pinv Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	86 else
c690e3772583 support diagonal matrices in pinv Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	87 {
18467 c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546). Rik <rik@octave.org> parents: 17787 diff changeset	88 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	89 if (nargin == 2)
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546). Rik <rik@octave.org> parents: 17787 diff changeset	90 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	91
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546). Rik <rik@octave.org> parents: 17787 diff changeset	92 if (tol < 0.0)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	93 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	94
23582 0cc2011d800e maint: Deprecate is_real_type and replace with isreal. Rik <rik@octave.org> parents: 23581 diff changeset	95 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	96 retval = arg.diag_matrix_value ().pseudo_inverse (tol);
8840 c690e3772583 support diagonal matrices in pinv Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	97 else
18467 c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546). Rik <rik@octave.org> parents: 17787 diff changeset	98 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	99 }
c690e3772583 support diagonal matrices in pinv Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	100 }
c690e3772583 support diagonal matrices in pinv Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	101 else if (arg.is_perm_matrix ())
c690e3772583 support diagonal matrices in pinv Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	102 {
8960 93f18f166aba remove float perm matrices Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	103 retval = arg.perm_matrix_value ().inverse ();
8840 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 (isfloat)
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	106 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	107 float tol = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	108 if (nargin == 2)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9064 diff changeset	109 tol = args(1).float_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	110
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	111 if (tol < 0.0)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	112 error ("pinv: TOL must be greater than zero");
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	113
23582 0cc2011d800e maint: Deprecate is_real_type and replace with isreal. Rik <rik@octave.org> parents: 23581 diff changeset	114 if (arg.isreal ())
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9064 diff changeset	115 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9064 diff changeset	116 FloatMatrix m = arg.float_matrix_value ();
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	117
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20172 diff changeset	118 retval = m.pseudo_inverse (tol);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9064 diff changeset	119 }
23581 c3075ae020e1 maint: Deprecate is_complex_type and replace with iscomplex. Rik <rik@octave.org> parents: 23577 diff changeset	120 else if (arg.iscomplex ())
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9064 diff changeset	121 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9064 diff changeset	122 FloatComplexMatrix m = arg.float_complex_matrix_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	123
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20172 diff changeset	124 retval = m.pseudo_inverse (tol);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9064 diff changeset	125 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	126 else
21100 e39e05d90788 Switch gripe_XXX to either err_XXX or warn_XXX naming scheme. Rik <rik@octave.org> parents: 20941 diff changeset	127 err_wrong_type_arg ("pinv", arg);
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	128 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	129 else
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	130 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	131 double tol = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	132 if (nargin == 2)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9064 diff changeset	133 tol = args(1).double_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	134
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	135 if (tol < 0.0)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	136 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	137
23582 0cc2011d800e maint: Deprecate is_real_type and replace with isreal. Rik <rik@octave.org> parents: 23581 diff changeset	138 if (arg.isreal ())
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9064 diff changeset	139 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9064 diff changeset	140 Matrix m = arg.matrix_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	141
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20172 diff changeset	142 retval = m.pseudo_inverse (tol);
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 ComplexMatrix m = arg.complex_matrix_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	147
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20172 diff changeset	148 retval = m.pseudo_inverse (tol);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9064 diff changeset	149 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	150 else
21100 e39e05d90788 Switch gripe_XXX to either err_XXX or warn_XXX naming scheme. Rik <rik@octave.org> parents: 20941 diff changeset	151 err_wrong_type_arg ("pinv", arg);
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	152 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	153
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	154 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	155 }
13042 ca7aaf2689c3 codesprint: 8 tests for pinv.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	156
ca7aaf2689c3 codesprint: 8 tests for pinv.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	157 /*
13079 9512d7272d5b codesprint: Fix tolerance for pinv test Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 13042 diff changeset	158 %!shared a, b, tol, hitol, d, u, x, y
17336 b81b9d079515 Use '##' for comments which stand alone on a line. Rik <rik@octave.org> parents: 15195 diff changeset	159 %! 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	160 %! 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	161 %! 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	162 %! hitol = 40*sqrt (eps);
13042 ca7aaf2689c3 codesprint: 8 tests for pinv.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	163 %! 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	164 %! 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	165 %! x = inv (u)du;
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	166 %! y = pinv (x, sqrt (eps));
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	167 %!
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 %!assert (aba, 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	169 %!assert (bab, 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	170 %!assert ((ba)', ba, 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	171 %!assert ((ab)', ab, 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	172 %!assert (xyx, 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	173 %!assert (yxy, 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	174 %!assert ((xy)', xy, 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	175 %!assert ((yx)', yx, hitol)
18494 1fa5bba16218 [mq]: pinv Rik <rik@octave.org> parents: 18467 diff changeset	176
1fa5bba16218 [mq]: pinv Rik <rik@octave.org> parents: 18467 diff changeset	177 ## Clear shared variables
1fa5bba16218 [mq]: pinv Rik <rik@octave.org> parents: 18467 diff changeset	178 %!shared
1fa5bba16218 [mq]: pinv Rik <rik@octave.org> parents: 18467 diff changeset	179
1fa5bba16218 [mq]: pinv Rik <rik@octave.org> parents: 18467 diff changeset	180 ## Test pinv for Diagonal matrices
1fa5bba16218 [mq]: pinv Rik <rik@octave.org> parents: 18467 diff changeset	181 %!test
1fa5bba16218 [mq]: pinv Rik <rik@octave.org> parents: 18467 diff changeset	182 %! x = diag ([3 2 1 0 -0.5]);
1fa5bba16218 [mq]: pinv Rik <rik@octave.org> parents: 18467 diff changeset	183 %! y = pinv (x);
1fa5bba16218 [mq]: pinv Rik <rik@octave.org> parents: 18467 diff changeset	184 %! assert (typeinfo (y)(1:8), "diagonal");
1fa5bba16218 [mq]: pinv Rik <rik@octave.org> parents: 18467 diff changeset	185 %! assert (isa (y, "double"));
1fa5bba16218 [mq]: pinv Rik <rik@octave.org> parents: 18467 diff changeset	186 %! assert (diag (y), [1/3, 1/2, 1, 0 1/-0.5]');
1fa5bba16218 [mq]: pinv Rik <rik@octave.org> parents: 18467 diff changeset	187 %! y = pinv (x, 1);
1fa5bba16218 [mq]: pinv Rik <rik@octave.org> parents: 18467 diff changeset	188 %! assert (diag (y), [1/3 1/2 1 0 0]');
1fa5bba16218 [mq]: pinv Rik <rik@octave.org> parents: 18467 diff changeset	189 %! y = pinv (x, 2);
1fa5bba16218 [mq]: pinv Rik <rik@octave.org> parents: 18467 diff changeset	190 %! assert (diag (y), [1/3 1/2 0 0 0]');
1fa5bba16218 [mq]: pinv Rik <rik@octave.org> parents: 18467 diff changeset	191
24195 d3dc76efb38b Return correct value for pinv of zero vectors and scalars (bug #51246). Rik <rik@octave.org> parents: 23582 diff changeset	192 ## 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	193 %!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	194 %!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	195 %!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	196 %!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	197 %!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	198 %!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	199 %!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	200 %!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	201 */

Mercurial > octave

annotate libinterp/corefcn/pinv.cc @ 24195:d3dc76efb38b