Mercurial > octave-nkf
view libinterp/corefcn/pinv.cc @ 20216:aa36fb998a4d stable
maint: Remove unnecessary whitespace at end of lines.
* libgui/Makefile.am, libgui/graphics/Canvas.cc,
libgui/graphics/EditControl.cc, libgui/graphics/Figure.cc,
libgui/graphics/MouseModeActionGroup.cc, libgui/graphics/annotation-dialog.cc,
libgui/graphics/annotation-dialog.h, libgui/graphics/gl-select.cc,
libgui/graphics/module.mk, libgui/kb-layouts/default.keytab,
libgui/kb-layouts/linux.keytab, libgui/kb-layouts/vt420pc.keytab,
libgui/src/m-editor/find-dialog.cc, libgui/src/main-window.cc,
libgui/src/octave-qt-link.cc, libgui/src/octave-qt-link.h,
libgui/src/shortcut-manager.h, libinterp/corefcn/error.cc,
libinterp/corefcn/find.cc, libinterp/corefcn/gl2ps-renderer.cc,
libinterp/corefcn/graphics.cc, libinterp/corefcn/graphics.in.h,
libinterp/corefcn/octave-link.cc, libinterp/corefcn/quadcc.cc,
libinterp/corefcn/strfns.cc, libinterp/corefcn/syscalls.cc,
libinterp/corefcn/sysdep.cc, libinterp/corefcn/urlwrite.cc,
libinterp/corefcn/utils.cc, libinterp/corefcn/variables.cc,
libinterp/dldfcn/__init_fltk__.cc, libinterp/dldfcn/ccolamd.cc,
libinterp/dldfcn/colamd.cc, libinterp/octave-value/ov-bool-sparse.cc,
libinterp/octave-value/ov-classdef.cc, libinterp/octave-value/ov-re-sparse.cc,
libinterp/octave-value/ov-struct.cc, libinterp/parse-tree/pt-arg-list.cc,
scripts/audio/@audiorecorder/play.m, scripts/audio/wavwrite.m,
scripts/general/cart2sph.m, scripts/geometry/inpolygon.m,
scripts/gui/listdlg.m, scripts/gui/msgbox.m,
scripts/gui/private/message_dialog.m, scripts/help/get_first_help_sentence.m,
scripts/help/lookfor.m, scripts/image/imshow.m, scripts/io/strread.m,
scripts/java/javamem.m, scripts/miscellaneous/dir.m,
scripts/miscellaneous/edit.m, scripts/miscellaneous/genvarname.m,
scripts/miscellaneous/gzip.m, scripts/miscellaneous/private/__w2mpth__.m,
scripts/plot/appearance/annotation.m, scripts/plot/draw/colorbar.m,
scripts/plot/draw/quiver3.m, scripts/plot/util/hold.m,
scripts/plot/util/print.m, scripts/polynomial/mkpp.m,
scripts/polynomial/polyder.m, scripts/polynomial/spline.m,
scripts/polynomial/unmkpp.m, scripts/signal/arma_rnd.m, scripts/sparse/gplot.m,
scripts/statistics/tests/t_test.m,
scripts/statistics/tests/t_test_regression.m, scripts/strings/mat2str.m,
scripts/strings/strsplit.m, scripts/strings/strtrunc.m,
scripts/strings/untabify.m, scripts/testfun/assert.m:
maint: Remove unnecessary whitespace at end of lines.
author | Rik <rik@octave.org> |
---|---|
date | Tue, 12 May 2015 09:22:01 -0700 |
parents | 4f45eaf83908 |
children | f90c8372b7ba |
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/* Copyright (C) 1996-2015 John W. Eaton This file is part of Octave. Octave is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. Octave is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with Octave; see the file COPYING. If not, see <http://www.gnu.org/licenses/>. */ #ifdef HAVE_CONFIG_H #include <config.h> #endif #include "defun.h" #include "error.h" #include "gripes.h" #include "oct-obj.h" #include "utils.h" #include "ops.h" #include "ov-re-diag.h" #include "ov-cx-diag.h" #include "ov-flt-re-diag.h" #include "ov-flt-cx-diag.h" #include "ov-perm.h" DEFUN (pinv, args, , "-*- texinfo -*-\n\ @deftypefn {Built-in Function} {} pinv (@var{x})\n\ @deftypefnx {Built-in Function} {} pinv (@var{x}, @var{tol})\n\ Return the pseudoinverse of @var{x}.\n\ \n\ Singular values less than @var{tol} are ignored.\n\ \n\ If the second argument is omitted, it is taken to be\n\ \n\ @example\n\ tol = max (size (@var{x})) * sigma_max (@var{x}) * eps,\n\ @end example\n\ \n\ @noindent\n\ where @code{sigma_max (@var{x})} is the maximal singular value of @var{x}.\n\ @end deftypefn") { octave_value retval; int nargin = args.length (); if (nargin < 1 || nargin > 2) { print_usage (); return retval; } octave_value arg = args(0); int arg_is_empty = empty_arg ("pinv", arg.rows (), arg.columns ()); if (arg_is_empty < 0) return retval; else if (arg_is_empty > 0) return octave_value (Matrix ()); bool isfloat = arg.is_single_type (); if (arg.is_diag_matrix ()) { if (isfloat) { float tol = 0.0; if (nargin == 2) tol = args(1).float_value (); if (error_state) return retval; if (tol < 0.0) { error ("pinv: TOL must be greater than zero"); return retval; } if (arg.is_real_type ()) retval = arg.float_diag_matrix_value ().pseudo_inverse (tol); else retval = arg.float_complex_diag_matrix_value ().pseudo_inverse (tol); } else { double tol = 0.0; if (nargin == 2) tol = args(1).double_value (); if (error_state) return retval; if (tol < 0.0) { error ("pinv: TOL must be greater than zero"); return retval; } if (arg.is_real_type ()) retval = arg.diag_matrix_value ().pseudo_inverse (tol); else retval = arg.complex_diag_matrix_value ().pseudo_inverse (tol); } } else if (arg.is_perm_matrix ()) { retval = arg.perm_matrix_value ().inverse (); } else if (isfloat) { float tol = 0.0; if (nargin == 2) tol = args(1).float_value (); if (error_state) return retval; if (tol < 0.0) { error ("pinv: TOL must be greater than zero"); return retval; } if (arg.is_real_type ()) { FloatMatrix m = arg.float_matrix_value (); if (! error_state) retval = m.pseudo_inverse (tol); } else if (arg.is_complex_type ()) { FloatComplexMatrix m = arg.float_complex_matrix_value (); if (! error_state) retval = m.pseudo_inverse (tol); } else { gripe_wrong_type_arg ("pinv", arg); } } else { double tol = 0.0; if (nargin == 2) tol = args(1).double_value (); if (error_state) return retval; if (tol < 0.0) { error ("pinv: TOL must be greater than zero"); return retval; } if (arg.is_real_type ()) { Matrix m = arg.matrix_value (); if (! error_state) retval = m.pseudo_inverse (tol); } else if (arg.is_complex_type ()) { ComplexMatrix m = arg.complex_matrix_value (); if (! error_state) retval = m.pseudo_inverse (tol); } else { gripe_wrong_type_arg ("pinv", arg); } } return retval; } /* %!shared a, b, tol, hitol, d, u, x, y %! a = reshape (rand*[1:16], 4, 4); # Rank 2 matrix %! b = pinv (a); %! tol = 4e-14; %! hitol = 40*sqrt (eps); %! d = diag ([rand, rand, hitol, hitol]); %! u = rand (4); # Could be singular by freak accident %! x = inv (u)*d*u; %! y = pinv (x, sqrt (eps)); %! %!assert (a*b*a, a, tol) %!assert (b*a*b, b, tol) %!assert ((b*a)', b*a, tol) %!assert ((a*b)', a*b, tol) %!assert (x*y*x, x, -hitol) %!assert (y*x*y, y, -hitol) %!assert ((x*y)', x*y, hitol) %!assert ((y*x)', y*x, hitol) ## Clear shared variables %!shared ## Test pinv for Diagonal matrices %!test %! x = diag ([3 2 1 0 -0.5]); %! y = pinv (x); %! assert (typeinfo (y)(1:8), "diagonal"); %! assert (isa (y, "double")); %! assert (diag (y), [1/3, 1/2, 1, 0 1/-0.5]'); %! y = pinv (x, 1); %! assert (diag (y), [1/3 1/2 1 0 0]'); %! y = pinv (x, 2); %! assert (diag (y), [1/3 1/2 0 0 0]'); */