Mercurial > octave
annotate libinterp/corefcn/pinv.cc @ 21301:40de9f8f23a6
Use '#include "config.h"' rather than <config.h>.
* mk-octave-config-h.sh, mk-opts.pl, Backend.cc, BaseControl.cc,
ButtonControl.cc, Canvas.cc, CheckBoxControl.cc, Container.cc, ContextMenu.cc,
EditControl.cc, Figure.cc, FigureWindow.cc, GLCanvas.cc, KeyMap.cc,
ListBoxControl.cc, Logger.cc, Menu.cc, MouseModeActionGroup.cc, Object.cc,
ObjectFactory.cc, ObjectProxy.cc, Panel.cc, PopupMenuControl.cc,
PushButtonControl.cc, PushTool.cc, QtHandlesUtils.cc, RadioButtonControl.cc,
SliderControl.cc, TextControl.cc, TextEdit.cc, ToggleButtonControl.cc,
ToggleTool.cc, ToolBar.cc, ToolBarButton.cc, __init_qt__.cc,
annotation-dialog.cc, gl-select.cc, module.mk, kpty.cpp, color-picker.cc,
dialog.cc, documentation-dock-widget.cc, files-dock-widget.cc,
find-files-dialog.cc, find-files-model.cc, history-dock-widget.cc,
file-editor-tab.cc, file-editor-tab.h, file-editor.cc, find-dialog.cc,
marker.cc, octave-qscintilla.cc, octave-txt-lexer.cc, main-window.cc,
octave-cmd.cc, octave-dock-widget.cc, octave-gui.cc, octave-interpreter.cc,
octave-qt-link.cc, parser.cc, webinfo.cc, resource-manager.cc,
settings-dialog.cc, shortcut-manager.cc, terminal-dock-widget.cc,
thread-manager.cc, welcome-wizard.cc, workspace-model.cc, workspace-view.cc,
build-env-features.sh, build-env.in.cc, Cell.cc, __contourc__.cc,
__dispatch__.cc, __dsearchn__.cc, __ichol__.cc, __ilu__.cc, __lin_interpn__.cc,
__pchip_deriv__.cc, __qp__.cc, balance.cc, besselj.cc, betainc.cc, bitfcns.cc,
bsxfun.cc, c-file-ptr-stream.cc, cdisplay.c, cellfun.cc, coct-hdf5-types.c,
colloc.cc, comment-list.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,
dot.cc, dynamic-ld.cc, eig.cc, ellipj.cc, error.cc, errwarn.cc, event-queue.cc,
fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc, ft-text-renderer.cc,
gammainc.cc, gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc,
gl-render.cc, gl2ps-print.cc, graphics.cc, gripes.cc, hash.cc, help.cc,
hess.cc, hex2num.cc, hook-fcn.cc, input.cc, inv.cc, jit-ir.cc, jit-typeinfo.cc,
jit-util.cc, kron.cc, load-path.cc, load-save.cc, lookup.cc,
ls-ascii-helper.cc, ls-hdf5.cc, ls-mat-ascii.cc, ls-mat4.cc, ls-mat5.cc,
ls-oct-binary.cc, ls-oct-text.cc, ls-utils.cc, lsode.cc, lu.cc, luinc.cc,
mappers.cc, matrix_type.cc, max.cc, mex.cc, mgorth.cc, nproc.cc,
oct-errno.in.cc, oct-fstrm.cc, oct-hdf5-types.cc, oct-hist.cc, oct-iostrm.cc,
oct-lvalue.cc, oct-map.cc, oct-prcstrm.cc, oct-procbuf.cc, oct-stream.cc,
oct-strstrm.cc, oct-tex-lexer.in.ll, oct-tex-parser.in.yy, octave-link.cc,
ordschur.cc, pager.cc, pinv.cc, pr-output.cc, procstream.cc, profiler.cc,
psi.cc, pt-jit.cc, quad.cc, quadcc.cc, qz.cc, rand.cc, rcond.cc, regexp.cc,
schur.cc, sighandlers.cc, siglist.c, sparse-xdiv.cc, sparse-xpow.cc, sparse.cc,
spparms.cc, sqrtm.cc, str2double.cc, strfind.cc, strfns.cc, sub2ind.cc, svd.cc,
sylvester.cc, symtab.cc, syscalls.cc, sysdep.cc, text-renderer.cc, time.cc,
toplev.cc, tril.cc, tsearch.cc, txt-eng.cc, typecast.cc, urlwrite.cc, utils.cc,
variables.cc, xdiv.cc, xgl2ps.c, xnorm.cc, xpow.cc, zfstream.cc,
__delaunayn__.cc, __eigs__.cc, __fltk_uigetfile__.cc, __glpk__.cc,
__init_fltk__.cc, __init_gnuplot__.cc, __magick_read__.cc, __osmesa_print__.cc,
__voronoi__.cc, amd.cc, audiodevinfo.cc, audioread.cc, ccolamd.cc, chol.cc,
colamd.cc, convhulln.cc, dmperm.cc, fftw.cc, qr.cc, symbfact.cc, symrcm.cc,
mkbuiltins, mkops, ov-base-diag.cc, ov-base-int.cc, ov-base-mat.cc,
ov-base-scalar.cc, ov-base-sparse.cc, ov-base.cc, ov-bool-mat.cc,
ov-bool-sparse.cc, ov-bool.cc, ov-builtin.cc, ov-cell.cc, ov-ch-mat.cc,
ov-class.cc, ov-classdef.cc, ov-colon.cc, ov-complex.cc, ov-cs-list.cc,
ov-cx-diag.cc, ov-cx-mat.cc, ov-cx-sparse.cc, ov-dld-fcn.cc, ov-fcn-handle.cc,
ov-fcn-inline.cc, ov-fcn.cc, ov-float.cc, ov-flt-complex.cc, ov-flt-cx-diag.cc,
ov-flt-cx-mat.cc, ov-flt-re-diag.cc, ov-flt-re-mat.cc, ov-int16.cc,
ov-int32.cc, ov-int64.cc, ov-int8.cc, ov-java.cc, ov-lazy-idx.cc,
ov-mex-fcn.cc, ov-null-mat.cc, ov-oncleanup.cc, ov-perm.cc, ov-range.cc,
ov-re-diag.cc, ov-re-mat.cc, ov-re-sparse.cc, ov-scalar.cc, ov-str-mat.cc,
ov-struct.cc, ov-typeinfo.cc, ov-uint16.cc, ov-uint32.cc, ov-uint64.cc,
ov-uint8.cc, ov-usr-fcn.cc, ov.cc, ovl.cc, octave.cc, op-b-b.cc, op-b-bm.cc,
op-b-sbm.cc, op-bm-b.cc, op-bm-bm.cc, op-bm-sbm.cc, op-cdm-cdm.cc, op-cell.cc,
op-chm.cc, op-class.cc, op-cm-cm.cc, op-cm-cs.cc, op-cm-m.cc, op-cm-s.cc,
op-cm-scm.cc, op-cm-sm.cc, op-cs-cm.cc, op-cs-cs.cc, op-cs-m.cc, op-cs-s.cc,
op-cs-scm.cc, op-cs-sm.cc, op-dm-dm.cc, op-dm-scm.cc, op-dm-sm.cc,
op-dm-template.cc, op-dms-template.cc, op-double-conv.cc, op-fcdm-fcdm.cc,
op-fcdm-fdm.cc, op-fcm-fcm.cc, op-fcm-fcs.cc, op-fcm-fm.cc, op-fcm-fs.cc,
op-fcn.cc, op-fcs-fcm.cc, op-fcs-fcs.cc, op-fcs-fm.cc, op-fcs-fs.cc,
op-fdm-fdm.cc, op-float-conv.cc, op-fm-fcm.cc, op-fm-fcs.cc, op-fm-fm.cc,
op-fm-fs.cc, op-fs-fcm.cc, op-fs-fcs.cc, op-fs-fm.cc, op-fs-fs.cc,
op-i16-i16.cc, op-i32-i32.cc, op-i64-i64.cc, op-i8-i8.cc, op-int-concat.cc,
op-int-conv.cc, op-m-cm.cc, op-m-cs.cc, op-m-m.cc, op-m-s.cc, op-m-scm.cc,
op-m-sm.cc, op-pm-pm.cc, op-pm-scm.cc, op-pm-sm.cc, op-pm-template.cc,
op-range.cc, op-s-cm.cc, op-s-cs.cc, op-s-m.cc, op-s-s.cc, op-s-scm.cc,
op-s-sm.cc, op-sbm-b.cc, op-sbm-bm.cc, op-sbm-sbm.cc, op-scm-cm.cc,
op-scm-cs.cc, op-scm-m.cc, op-scm-s.cc, op-scm-scm.cc, op-scm-sm.cc,
op-sm-cm.cc, op-sm-cs.cc, op-sm-m.cc, op-sm-s.cc, op-sm-scm.cc, op-sm-sm.cc,
op-str-m.cc, op-str-s.cc, op-str-str.cc, op-struct.cc, op-ui16-ui16.cc,
op-ui32-ui32.cc, op-ui64-ui64.cc, op-ui8-ui8.cc, lex.ll, oct-parse.in.yy,
pt-arg-list.cc, pt-array-list.cc, pt-assign.cc, pt-binop.cc, pt-bp.cc,
pt-cbinop.cc, pt-cell.cc, pt-check.cc, pt-classdef.cc, pt-cmd.cc, pt-colon.cc,
pt-const.cc, pt-decl.cc, pt-eval.cc, pt-except.cc, pt-exp.cc, pt-fcn-handle.cc,
pt-funcall.cc, pt-id.cc, pt-idx.cc, pt-jump.cc, pt-loop.cc, pt-mat.cc,
pt-misc.cc, pt-pr-code.cc, pt-select.cc, pt-stmt.cc, pt-unop.cc, pt.cc,
token.cc, Array-jit.cc, Array-os.cc, Array-sym.cc, Array-tc.cc, version.cc,
Array-C.cc, Array-b.cc, Array-ch.cc, Array-d.cc, Array-f.cc, Array-fC.cc,
Array-i.cc, Array-idx-vec.cc, Array-s.cc, Array-str.cc, Array-util.cc,
Array-voidp.cc, Array.cc, CColVector.cc, CDiagMatrix.cc, CMatrix.cc,
CNDArray.cc, CRowVector.cc, CSparse.cc, DiagArray2.cc, MArray-C.cc,
MArray-d.cc, MArray-f.cc, MArray-fC.cc, MArray-i.cc, MArray-s.cc, MArray.cc,
MDiagArray2.cc, MSparse-C.cc, MSparse-d.cc, MatrixType.cc, PermMatrix.cc,
Range.cc, Sparse-C.cc, Sparse-b.cc, Sparse-d.cc, Sparse.cc, boolMatrix.cc,
boolNDArray.cc, boolSparse.cc, chMatrix.cc, chNDArray.cc, dColVector.cc,
dDiagMatrix.cc, dMatrix.cc, dNDArray.cc, dRowVector.cc, dSparse.cc,
dim-vector.cc, fCColVector.cc, fCDiagMatrix.cc, fCMatrix.cc, fCNDArray.cc,
fCRowVector.cc, fColVector.cc, fDiagMatrix.cc, fMatrix.cc, fNDArray.cc,
fRowVector.cc, idx-vector.cc, int16NDArray.cc, int32NDArray.cc,
int64NDArray.cc, int8NDArray.cc, intNDArray.cc, uint16NDArray.cc,
uint32NDArray.cc, uint64NDArray.cc, uint8NDArray.cc, blaswrap.c, cquit.c,
f77-extern.cc, f77-fcn.c, lo-error.c, quit.cc, CollocWt.cc, DASPK.cc, DASRT.cc,
DASSL.cc, EIG.cc, LSODE.cc, ODES.cc, Quad.cc, aepbalance.cc, chol.cc,
eigs-base.cc, fEIG.cc, gepbalance.cc, hess.cc, lo-mappers.cc, lo-specfun.cc,
lu.cc, oct-convn.cc, oct-fftw.cc, oct-norm.cc, oct-rand.cc, oct-spparms.cc,
qr.cc, qrp.cc, randgamma.c, randmtzig.c, randpoisson.c, schur.cc,
sparse-chol.cc, sparse-dmsolve.cc, sparse-lu.cc, sparse-qr.cc, svd.cc,
mk-ops.awk, dir-ops.cc, file-ops.cc, file-stat.cc, lo-sysdep.cc, mach-info.cc,
oct-env.cc, oct-group.cc, oct-passwd.cc, oct-syscalls.cc, oct-time.cc,
oct-uname.cc, cmd-edit.cc, cmd-hist.cc, data-conv.cc, f2c-main.c,
glob-match.cc, kpse.cc, lo-array-errwarn.cc, lo-array-gripes.cc, lo-cutils.c,
lo-ieee.cc, lo-regexp.cc, lo-utils.cc, oct-base64.cc, oct-glob.cc,
oct-inttypes.cc, oct-locbuf.cc, oct-mutex.cc, oct-rl-edit.c, oct-rl-hist.c,
oct-shlib.cc, oct-sort.cc, pathsearch.cc, singleton-cleanup.cc, sparse-sort.cc,
sparse-util.cc, str-vec.cc, unwind-prot.cc, url-transfer.cc,
display-available.c, main-cli.cc, main-gui.cc, main.in.cc, mkoctfile.in.cc,
octave-config.in.cc:
Use '#include "config.h"' rather than <config.h>.
author | Rik <rik@octave.org> |
---|---|
date | Thu, 18 Feb 2016 13:34:50 -0800 |
parents | fcac5dbbf9ed |
children | aba2e6293dd8 |
rev | line source |
---|---|
2928 | 1 /* |
2 | |
19697
4197fc428c7d
maint: Update copyright notices for 2015.
John W. Eaton <jwe@octave.org>
parents:
18494
diff
changeset
|
3 Copyright (C) 1996-2015 John W. Eaton |
2928 | 4 |
5 This file is part of Octave. | |
6 | |
7 Octave is free software; you can redistribute it and/or modify it | |
8 under the terms of the GNU General Public License as published by the | |
7016 | 9 Free Software Foundation; either version 3 of the License, or (at your |
10 option) any later version. | |
2928 | 11 |
12 Octave is distributed in the hope that it will be useful, but WITHOUT | |
13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
15 for more details. | |
16 | |
17 You should have received a copy of the GNU General Public License | |
7016 | 18 along with Octave; see the file COPYING. If not, see |
19 <http://www.gnu.org/licenses/>. | |
2928 | 20 |
21 */ | |
22 | |
23 #ifdef 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 | 25 #endif |
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 | 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" |
2928 | 31 #include "utils.h" |
8840
c690e3772583
support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
32 #include "ops.h" |
c690e3772583
support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
33 #include "ov-re-diag.h" |
c690e3772583
support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
34 #include "ov-cx-diag.h" |
c690e3772583
support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
35 #include "ov-flt-re-diag.h" |
c690e3772583
support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
36 #include "ov-flt-cx-diag.h" |
c690e3772583
support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
37 #include "ov-perm.h" |
2928 | 38 |
15039
e753177cde93
maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory
Rik <rik@octave.org>
parents:
14179
diff
changeset
|
39 DEFUN (pinv, args, , |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
40 "-*- texinfo -*-\n\ |
20853
1142cf6abc0d
2015 Code Sprint: remove class of function from docstring for all C++ files.
Rik <rik@octave.org>
parents:
20831
diff
changeset
|
41 @deftypefn {} {} pinv (@var{x})\n\ |
1142cf6abc0d
2015 Code Sprint: remove class of function from docstring for all C++ files.
Rik <rik@octave.org>
parents:
20831
diff
changeset
|
42 @deftypefnx {} {} pinv (@var{x}, @var{tol})\n\ |
20172
4f45eaf83908
doc: Update more docstrings to have one sentence summary as first line.
Rik <rik@octave.org>
parents:
19697
diff
changeset
|
43 Return the pseudoinverse of @var{x}.\n\ |
4f45eaf83908
doc: Update more docstrings to have one sentence summary as first line.
Rik <rik@octave.org>
parents:
19697
diff
changeset
|
44 \n\ |
4f45eaf83908
doc: Update more docstrings to have one sentence summary as first line.
Rik <rik@octave.org>
parents:
19697
diff
changeset
|
45 Singular values less than @var{tol} are ignored.\n\ |
3372 | 46 \n\ |
12584
7ef7e20057fa
Improve documentation strings in Linear Algebra chapter.
Rik <octave@nomad.inbox5.com>
parents:
11553
diff
changeset
|
47 If the second argument is omitted, it is taken to be\n\ |
3365 | 48 \n\ |
49 @example\n\ | |
3372 | 50 tol = max (size (@var{x})) * sigma_max (@var{x}) * eps,\n\ |
3365 | 51 @end example\n\ |
3372 | 52 \n\ |
53 @noindent\n\ | |
54 where @code{sigma_max (@var{x})} is the maximal singular value of @var{x}.\n\ | |
3365 | 55 @end deftypefn") |
2928 | 56 { |
57 int nargin = args.length (); | |
58 | |
59 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
|
60 print_usage (); |
2928 | 61 |
62 octave_value arg = args(0); | |
63 | |
64 int arg_is_empty = empty_arg ("pinv", arg.rows (), arg.columns ()); | |
65 | |
66 if (arg_is_empty < 0) | |
20941
a4f5da7c5463
maint: Replace "octave_value_list ()" with "ovl ()".
Rik <rik@octave.org>
parents:
20940
diff
changeset
|
67 return ovl (); |
2928 | 68 else if (arg_is_empty > 0) |
21127
df7891224709
maint: Use "return ovl (...)" in DEFUN macros.
Rik <rik@octave.org>
parents:
21100
diff
changeset
|
69 return ovl (Matrix ()); |
2928 | 70 |
20939
b17fda023ca6
maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
71 octave_value retval; |
b17fda023ca6
maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents:
20853
diff
changeset
|
72 |
8840
c690e3772583
support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
73 bool isfloat = arg.is_single_type (); |
c690e3772583
support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
74 |
c690e3772583
support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
75 if (arg.is_diag_matrix ()) |
c690e3772583
support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
76 { |
18467
c5a101de2d88
Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents:
17787
diff
changeset
|
77 if (isfloat) |
8840
c690e3772583
support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
78 { |
18467
c5a101de2d88
Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents:
17787
diff
changeset
|
79 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
|
80 if (nargin == 2) |
c5a101de2d88
Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents:
17787
diff
changeset
|
81 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
|
82 |
c5a101de2d88
Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents:
17787
diff
changeset
|
83 if (tol < 0.0) |
20831
35241c4b696c
eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents:
20802
diff
changeset
|
84 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
|
85 |
c5a101de2d88
Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents:
17787
diff
changeset
|
86 if (arg.is_real_type ()) |
c5a101de2d88
Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents:
17787
diff
changeset
|
87 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
|
88 else |
18467
c5a101de2d88
Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents:
17787
diff
changeset
|
89 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
|
90 } |
c690e3772583
support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
91 else |
c690e3772583
support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
92 { |
18467
c5a101de2d88
Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents:
17787
diff
changeset
|
93 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
|
94 if (nargin == 2) |
c5a101de2d88
Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents:
17787
diff
changeset
|
95 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
|
96 |
c5a101de2d88
Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents:
17787
diff
changeset
|
97 if (tol < 0.0) |
20831
35241c4b696c
eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents:
20802
diff
changeset
|
98 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
|
99 |
c5a101de2d88
Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents:
17787
diff
changeset
|
100 if (arg.is_real_type ()) |
c5a101de2d88
Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents:
17787
diff
changeset
|
101 retval = arg.diag_matrix_value ().pseudo_inverse (tol); |
8840
c690e3772583
support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
102 else |
18467
c5a101de2d88
Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents:
17787
diff
changeset
|
103 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
|
104 } |
c690e3772583
support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
105 } |
c690e3772583
support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
106 else if (arg.is_perm_matrix ()) |
c690e3772583
support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
107 { |
8960
93f18f166aba
remove float perm matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
8920
diff
changeset
|
108 retval = arg.perm_matrix_value ().inverse (); |
8840
c690e3772583
support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
109 } |
c690e3772583
support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
110 else if (isfloat) |
2928 | 111 { |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
112 float tol = 0.0; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
113 if (nargin == 2) |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9064
diff
changeset
|
114 tol = args(1).float_value (); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
115 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
116 if (tol < 0.0) |
20831
35241c4b696c
eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents:
20802
diff
changeset
|
117 error ("pinv: TOL must be greater than zero"); |
2928 | 118 |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
119 if (arg.is_real_type ()) |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9064
diff
changeset
|
120 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9064
diff
changeset
|
121 FloatMatrix m = arg.float_matrix_value (); |
2928 | 122 |
20555
f90c8372b7ba
eliminate many more simple uses of error_state
John W. Eaton <jwe@octave.org>
parents:
20172
diff
changeset
|
123 retval = m.pseudo_inverse (tol); |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9064
diff
changeset
|
124 } |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
125 else if (arg.is_complex_type ()) |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9064
diff
changeset
|
126 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9064
diff
changeset
|
127 FloatComplexMatrix m = arg.float_complex_matrix_value (); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
128 |
20555
f90c8372b7ba
eliminate many more simple uses of error_state
John W. Eaton <jwe@octave.org>
parents:
20172
diff
changeset
|
129 retval = m.pseudo_inverse (tol); |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9064
diff
changeset
|
130 } |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
131 else |
21100
e39e05d90788
Switch gripe_XXX to either err_XXX or warn_XXX naming scheme.
Rik <rik@octave.org>
parents:
20941
diff
changeset
|
132 err_wrong_type_arg ("pinv", arg); |
2928 | 133 } |
134 else | |
135 { | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
136 double tol = 0.0; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
137 if (nargin == 2) |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9064
diff
changeset
|
138 tol = args(1).double_value (); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
139 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
140 if (tol < 0.0) |
20831
35241c4b696c
eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents:
20802
diff
changeset
|
141 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
|
142 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
143 if (arg.is_real_type ()) |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9064
diff
changeset
|
144 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9064
diff
changeset
|
145 Matrix m = arg.matrix_value (); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
146 |
20555
f90c8372b7ba
eliminate many more simple uses of error_state
John W. Eaton <jwe@octave.org>
parents:
20172
diff
changeset
|
147 retval = m.pseudo_inverse (tol); |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9064
diff
changeset
|
148 } |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
149 else if (arg.is_complex_type ()) |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9064
diff
changeset
|
150 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9064
diff
changeset
|
151 ComplexMatrix m = arg.complex_matrix_value (); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
152 |
20555
f90c8372b7ba
eliminate many more simple uses of error_state
John W. Eaton <jwe@octave.org>
parents:
20172
diff
changeset
|
153 retval = m.pseudo_inverse (tol); |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9064
diff
changeset
|
154 } |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
155 else |
21100
e39e05d90788
Switch gripe_XXX to either err_XXX or warn_XXX naming scheme.
Rik <rik@octave.org>
parents:
20941
diff
changeset
|
156 err_wrong_type_arg ("pinv", arg); |
2928 | 157 } |
158 | |
159 return retval; | |
160 } | |
13042
ca7aaf2689c3
codesprint: 8 tests for pinv.cc
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents:
12642
diff
changeset
|
161 |
ca7aaf2689c3
codesprint: 8 tests for pinv.cc
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents:
12642
diff
changeset
|
162 /* |
13079
9512d7272d5b
codesprint: Fix tolerance for pinv test
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents:
13042
diff
changeset
|
163 %!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
|
164 %! 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
|
165 %! 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
|
166 %! 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
|
167 %! hitol = 40*sqrt (eps); |
13042
ca7aaf2689c3
codesprint: 8 tests for pinv.cc
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents:
12642
diff
changeset
|
168 %! 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
|
169 %! 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
|
170 %! 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
|
171 %! 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
|
172 %! |
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 (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
|
174 %!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
|
175 %!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
|
176 %!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
|
177 %!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
|
178 %!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
|
179 %!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
|
180 %!assert ((y*x)', y*x, hitol) |
18494 | 181 |
182 ## Clear shared variables | |
183 %!shared | |
184 | |
185 ## Test pinv for Diagonal matrices | |
186 %!test | |
187 %! x = diag ([3 2 1 0 -0.5]); | |
188 %! y = pinv (x); | |
189 %! assert (typeinfo (y)(1:8), "diagonal"); | |
190 %! assert (isa (y, "double")); | |
191 %! assert (diag (y), [1/3, 1/2, 1, 0 1/-0.5]'); | |
192 %! y = pinv (x, 1); | |
193 %! assert (diag (y), [1/3 1/2 1 0 0]'); | |
194 %! y = pinv (x, 2); | |
195 %! assert (diag (y), [1/3 1/2 0 0 0]'); | |
196 | |
13042
ca7aaf2689c3
codesprint: 8 tests for pinv.cc
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents:
12642
diff
changeset
|
197 */ |