Mercurial > octave-nkf
view libinterp/corefcn/svd.cc @ 17787:175b392e91fe
Use GNU style coding conventions for code in libinterp/
* libinterp/corefcn/Cell.h, libinterp/corefcn/__contourc__.cc,
libinterp/corefcn/__dispatch__.cc, libinterp/corefcn/__lin_interpn__.cc,
libinterp/corefcn/__pchip_deriv__.cc, libinterp/corefcn/__qp__.cc,
libinterp/corefcn/balance.cc, libinterp/corefcn/besselj.cc,
libinterp/corefcn/betainc.cc, libinterp/corefcn/bitfcns.cc,
libinterp/corefcn/bsxfun.cc, libinterp/corefcn/c-file-ptr-stream.cc,
libinterp/corefcn/c-file-ptr-stream.h, libinterp/corefcn/cellfun.cc,
libinterp/corefcn/colloc.cc, libinterp/corefcn/comment-list.h,
libinterp/corefcn/conv2.cc, libinterp/corefcn/daspk.cc,
libinterp/corefcn/dasrt.cc, libinterp/corefcn/dassl.cc,
libinterp/corefcn/data.cc, libinterp/corefcn/debug.cc,
libinterp/corefcn/defaults.cc, libinterp/corefcn/defaults.in.h,
libinterp/corefcn/defun-int.h, libinterp/corefcn/defun.cc,
libinterp/corefcn/det.cc, libinterp/corefcn/dirfns.cc,
libinterp/corefcn/display.cc, libinterp/corefcn/dlmread.cc,
libinterp/corefcn/dot.cc, libinterp/corefcn/dynamic-ld.cc,
libinterp/corefcn/dynamic-ld.h, libinterp/corefcn/eig.cc,
libinterp/corefcn/ellipj.cc, libinterp/corefcn/error.cc,
libinterp/corefcn/error.h, libinterp/corefcn/event-queue.h,
libinterp/corefcn/fft.cc, libinterp/corefcn/fft2.cc, libinterp/corefcn/fftn.cc,
libinterp/corefcn/file-io.cc, libinterp/corefcn/filter.cc,
libinterp/corefcn/find.cc, libinterp/corefcn/gammainc.cc,
libinterp/corefcn/gcd.cc, libinterp/corefcn/getgrent.cc,
libinterp/corefcn/getpwent.cc, libinterp/corefcn/getrusage.cc,
libinterp/corefcn/givens.cc, libinterp/corefcn/gl-render.cc,
libinterp/corefcn/gl2ps-renderer.cc, libinterp/corefcn/gl2ps-renderer.h,
libinterp/corefcn/graphics.cc, libinterp/corefcn/graphics.in.h,
libinterp/corefcn/gripes.cc, libinterp/corefcn/gripes.h,
libinterp/corefcn/help.cc, libinterp/corefcn/hess.cc,
libinterp/corefcn/hex2num.cc, libinterp/corefcn/input.cc,
libinterp/corefcn/input.h, libinterp/corefcn/inv.cc,
libinterp/corefcn/jit-ir.h, libinterp/corefcn/jit-typeinfo.cc,
libinterp/corefcn/jit-typeinfo.h, libinterp/corefcn/jit-util.h,
libinterp/corefcn/kron.cc, libinterp/corefcn/load-path.cc,
libinterp/corefcn/load-path.h, libinterp/corefcn/load-save.cc,
libinterp/corefcn/load-save.h, libinterp/corefcn/lookup.cc,
libinterp/corefcn/ls-ascii-helper.cc, libinterp/corefcn/ls-hdf5.cc,
libinterp/corefcn/ls-hdf5.h, libinterp/corefcn/ls-mat-ascii.cc,
libinterp/corefcn/ls-mat-ascii.h, libinterp/corefcn/ls-mat4.cc,
libinterp/corefcn/ls-mat5.cc, libinterp/corefcn/ls-mat5.h,
libinterp/corefcn/ls-oct-ascii.cc, libinterp/corefcn/lsode.cc,
libinterp/corefcn/lu.cc, libinterp/corefcn/luinc.cc,
libinterp/corefcn/mappers.cc, libinterp/corefcn/matrix_type.cc,
libinterp/corefcn/max.cc, libinterp/corefcn/md5sum.cc,
libinterp/corefcn/mex.cc, libinterp/corefcn/mexproto.h,
libinterp/corefcn/mgorth.cc, libinterp/corefcn/mxarray.in.h,
libinterp/corefcn/nproc.cc, libinterp/corefcn/oct-hist.cc,
libinterp/corefcn/oct-lvalue.h, libinterp/corefcn/oct-map.cc,
libinterp/corefcn/oct-map.h, libinterp/corefcn/oct-obj.h,
libinterp/corefcn/oct-prcstrm.h, libinterp/corefcn/oct-stdstrm.h,
libinterp/corefcn/oct-stream.cc, libinterp/corefcn/oct-stream.h,
libinterp/corefcn/octave-link.cc, libinterp/corefcn/octave-link.h,
libinterp/corefcn/pager.cc, libinterp/corefcn/pinv.cc,
libinterp/corefcn/pr-output.cc, libinterp/corefcn/procstream.h,
libinterp/corefcn/profiler.cc, libinterp/corefcn/pt-jit.cc,
libinterp/corefcn/pt-jit.h, libinterp/corefcn/quad.cc,
libinterp/corefcn/quadcc.cc, libinterp/corefcn/qz.cc,
libinterp/corefcn/rand.cc, libinterp/corefcn/rcond.cc,
libinterp/corefcn/regexp.cc, libinterp/corefcn/schur.cc,
libinterp/corefcn/sighandlers.cc, libinterp/corefcn/sighandlers.h,
libinterp/corefcn/sparse-xdiv.cc, libinterp/corefcn/sparse-xdiv.h,
libinterp/corefcn/sparse-xpow.cc, libinterp/corefcn/sparse.cc,
libinterp/corefcn/spparms.cc, libinterp/corefcn/sqrtm.cc,
libinterp/corefcn/str2double.cc, libinterp/corefcn/strfind.cc,
libinterp/corefcn/strfns.cc, libinterp/corefcn/sub2ind.cc,
libinterp/corefcn/svd.cc, libinterp/corefcn/syl.cc,
libinterp/corefcn/symtab.cc, libinterp/corefcn/symtab.h,
libinterp/corefcn/syscalls.cc, libinterp/corefcn/sysdep.cc,
libinterp/corefcn/sysdep.h, libinterp/corefcn/time.cc,
libinterp/corefcn/toplev.cc, libinterp/corefcn/toplev.h,
libinterp/corefcn/tril.cc, libinterp/corefcn/txt-eng-ft.cc,
libinterp/corefcn/txt-eng-ft.h, libinterp/corefcn/txt-eng.h,
libinterp/corefcn/typecast.cc, libinterp/corefcn/urlwrite.cc,
libinterp/corefcn/utils.cc, libinterp/corefcn/variables.cc,
libinterp/corefcn/variables.h, libinterp/corefcn/xdiv.cc,
libinterp/corefcn/xdiv.h, libinterp/corefcn/xnorm.h, libinterp/corefcn/xpow.cc,
libinterp/corefcn/xpow.h, libinterp/corefcn/zfstream.cc,
libinterp/corefcn/zfstream.h, libinterp/dldfcn/__delaunayn__.cc,
libinterp/dldfcn/__dsearchn__.cc, libinterp/dldfcn/__eigs__.cc,
libinterp/dldfcn/__fltk_uigetfile__.cc, libinterp/dldfcn/__glpk__.cc,
libinterp/dldfcn/__init_fltk__.cc, libinterp/dldfcn/__init_gnuplot__.cc,
libinterp/dldfcn/__magick_read__.cc, libinterp/dldfcn/__voronoi__.cc,
libinterp/dldfcn/amd.cc, libinterp/dldfcn/ccolamd.cc, libinterp/dldfcn/chol.cc,
libinterp/dldfcn/colamd.cc, libinterp/dldfcn/convhulln.cc,
libinterp/dldfcn/dmperm.cc, libinterp/dldfcn/fftw.cc, libinterp/dldfcn/qr.cc,
libinterp/dldfcn/symbfact.cc, libinterp/dldfcn/symrcm.cc,
libinterp/dldfcn/tsearch.cc, libinterp/octave-value/ov-base-diag.cc,
libinterp/octave-value/ov-base-diag.h, libinterp/octave-value/ov-base-int.cc,
libinterp/octave-value/ov-base-int.h, libinterp/octave-value/ov-base-mat.h,
libinterp/octave-value/ov-base-scalar.cc,
libinterp/octave-value/ov-base-scalar.h,
libinterp/octave-value/ov-base-sparse.cc,
libinterp/octave-value/ov-base-sparse.h, libinterp/octave-value/ov-base.cc,
libinterp/octave-value/ov-base.h, libinterp/octave-value/ov-bool-mat.cc,
libinterp/octave-value/ov-bool-mat.h, libinterp/octave-value/ov-bool-sparse.cc,
libinterp/octave-value/ov-bool-sparse.h, libinterp/octave-value/ov-bool.cc,
libinterp/octave-value/ov-bool.h, libinterp/octave-value/ov-builtin.cc,
libinterp/octave-value/ov-builtin.h, libinterp/octave-value/ov-cell.cc,
libinterp/octave-value/ov-cell.h, libinterp/octave-value/ov-ch-mat.cc,
libinterp/octave-value/ov-ch-mat.h, libinterp/octave-value/ov-class.cc,
libinterp/octave-value/ov-class.h, libinterp/octave-value/ov-colon.h,
libinterp/octave-value/ov-complex.cc, libinterp/octave-value/ov-complex.h,
libinterp/octave-value/ov-cx-diag.cc, libinterp/octave-value/ov-cx-diag.h,
libinterp/octave-value/ov-cx-mat.cc, libinterp/octave-value/ov-cx-mat.h,
libinterp/octave-value/ov-cx-sparse.cc, libinterp/octave-value/ov-cx-sparse.h,
libinterp/octave-value/ov-dld-fcn.h, libinterp/octave-value/ov-fcn-handle.cc,
libinterp/octave-value/ov-fcn-handle.h,
libinterp/octave-value/ov-fcn-inline.cc,
libinterp/octave-value/ov-fcn-inline.h, libinterp/octave-value/ov-fcn.h,
libinterp/octave-value/ov-float.cc, libinterp/octave-value/ov-float.h,
libinterp/octave-value/ov-flt-complex.cc,
libinterp/octave-value/ov-flt-complex.h,
libinterp/octave-value/ov-flt-cx-diag.cc,
libinterp/octave-value/ov-flt-cx-diag.h,
libinterp/octave-value/ov-flt-cx-mat.cc,
libinterp/octave-value/ov-flt-cx-mat.h,
libinterp/octave-value/ov-flt-re-diag.cc,
libinterp/octave-value/ov-flt-re-diag.h,
libinterp/octave-value/ov-flt-re-mat.cc,
libinterp/octave-value/ov-flt-re-mat.h, libinterp/octave-value/ov-int16.cc,
libinterp/octave-value/ov-int32.cc, libinterp/octave-value/ov-int64.cc,
libinterp/octave-value/ov-int8.cc, libinterp/octave-value/ov-intx.h,
libinterp/octave-value/ov-java.cc, libinterp/octave-value/ov-lazy-idx.h,
libinterp/octave-value/ov-mex-fcn.cc, libinterp/octave-value/ov-mex-fcn.h,
libinterp/octave-value/ov-null-mat.cc, libinterp/octave-value/ov-null-mat.h,
libinterp/octave-value/ov-oncleanup.cc, libinterp/octave-value/ov-perm.cc,
libinterp/octave-value/ov-perm.h, libinterp/octave-value/ov-range.cc,
libinterp/octave-value/ov-range.h, libinterp/octave-value/ov-re-diag.cc,
libinterp/octave-value/ov-re-diag.h, libinterp/octave-value/ov-re-mat.cc,
libinterp/octave-value/ov-re-mat.h, libinterp/octave-value/ov-re-sparse.cc,
libinterp/octave-value/ov-re-sparse.h, libinterp/octave-value/ov-scalar.cc,
libinterp/octave-value/ov-scalar.h, libinterp/octave-value/ov-str-mat.cc,
libinterp/octave-value/ov-str-mat.h, libinterp/octave-value/ov-struct.cc,
libinterp/octave-value/ov-struct.h, libinterp/octave-value/ov-type-conv.h,
libinterp/octave-value/ov-typeinfo.cc, libinterp/octave-value/ov-typeinfo.h,
libinterp/octave-value/ov-uint16.cc, libinterp/octave-value/ov-uint32.cc,
libinterp/octave-value/ov-uint64.cc, libinterp/octave-value/ov-uint8.cc,
libinterp/octave-value/ov-usr-fcn.cc, libinterp/octave-value/ov-usr-fcn.h,
libinterp/octave-value/ov.cc, libinterp/octave-value/ov.h, libinterp/octave.cc,
libinterp/operators/op-b-bm.cc, libinterp/operators/op-b-sbm.cc,
libinterp/operators/op-bm-b.cc, libinterp/operators/op-bm-bm.cc,
libinterp/operators/op-cdm-cdm.cc, libinterp/operators/op-chm.cc,
libinterp/operators/op-class.cc, libinterp/operators/op-cm-cm.cc,
libinterp/operators/op-cm-cs.cc, libinterp/operators/op-cm-s.cc,
libinterp/operators/op-cm-scm.cc, libinterp/operators/op-cm-sm.cc,
libinterp/operators/op-cs-cm.cc, libinterp/operators/op-cs-cs.cc,
libinterp/operators/op-cs-scm.cc, libinterp/operators/op-cs-sm.cc,
libinterp/operators/op-dm-dm.cc, libinterp/operators/op-dm-scm.cc,
libinterp/operators/op-double-conv.cc, libinterp/operators/op-fcdm-fcdm.cc,
libinterp/operators/op-fcm-fcm.cc, libinterp/operators/op-fcm-fcs.cc,
libinterp/operators/op-fcm-fm.cc, libinterp/operators/op-fcm-fs.cc,
libinterp/operators/op-fcs-fcm.cc, libinterp/operators/op-fcs-fcs.cc,
libinterp/operators/op-fcs-fm.cc, libinterp/operators/op-fcs-fs.cc,
libinterp/operators/op-fdm-fdm.cc, libinterp/operators/op-float-conv.cc,
libinterp/operators/op-fm-fcm.cc, libinterp/operators/op-fm-fcs.cc,
libinterp/operators/op-fm-fm.cc, libinterp/operators/op-fm-fs.cc,
libinterp/operators/op-fs-fcm.cc, libinterp/operators/op-fs-fcs.cc,
libinterp/operators/op-fs-fm.cc, libinterp/operators/op-fs-fs.cc,
libinterp/operators/op-m-cm.cc, libinterp/operators/op-m-cs.cc,
libinterp/operators/op-m-m.cc, libinterp/operators/op-m-s.cc,
libinterp/operators/op-m-scm.cc, libinterp/operators/op-m-sm.cc,
libinterp/operators/op-pm-scm.cc, libinterp/operators/op-range.cc,
libinterp/operators/op-s-cm.cc, libinterp/operators/op-s-cs.cc,
libinterp/operators/op-s-scm.cc, libinterp/operators/op-sbm-b.cc,
libinterp/operators/op-sbm-bm.cc, libinterp/operators/op-sbm-sbm.cc,
libinterp/operators/op-scm-cm.cc, libinterp/operators/op-scm-cs.cc,
libinterp/operators/op-scm-m.cc, libinterp/operators/op-scm-s.cc,
libinterp/operators/op-scm-scm.cc, libinterp/operators/op-scm-sm.cc,
libinterp/operators/op-sm-cm.cc, libinterp/operators/op-sm-m.cc,
libinterp/operators/op-sm-s.cc, libinterp/operators/op-sm-scm.cc,
libinterp/operators/op-sm-sm.cc, libinterp/operators/op-str-m.cc,
libinterp/operators/op-str-s.cc, libinterp/operators/op-str-str.cc,
libinterp/operators/ops.h, libinterp/parse-tree/lex.h,
libinterp/parse-tree/parse.h, libinterp/parse-tree/pt-arg-list.cc,
libinterp/parse-tree/pt-arg-list.h, libinterp/parse-tree/pt-assign.cc,
libinterp/parse-tree/pt-assign.h, libinterp/parse-tree/pt-binop.cc,
libinterp/parse-tree/pt-binop.h, libinterp/parse-tree/pt-bp.h,
libinterp/parse-tree/pt-cbinop.cc, libinterp/parse-tree/pt-check.cc,
libinterp/parse-tree/pt-colon.cc, libinterp/parse-tree/pt-colon.h,
libinterp/parse-tree/pt-const.cc, libinterp/parse-tree/pt-decl.cc,
libinterp/parse-tree/pt-decl.h, libinterp/parse-tree/pt-eval.cc,
libinterp/parse-tree/pt-except.h, libinterp/parse-tree/pt-exp.h,
libinterp/parse-tree/pt-fcn-handle.cc, libinterp/parse-tree/pt-id.cc,
libinterp/parse-tree/pt-id.h, libinterp/parse-tree/pt-idx.cc,
libinterp/parse-tree/pt-idx.h, libinterp/parse-tree/pt-loop.h,
libinterp/parse-tree/pt-mat.cc, libinterp/parse-tree/pt-misc.cc,
libinterp/parse-tree/pt-misc.h, libinterp/parse-tree/pt-pr-code.cc,
libinterp/parse-tree/pt-select.h, libinterp/parse-tree/pt-stmt.h,
libinterp/parse-tree/token.h, libinterp/version.cc:
Use GNU style coding conventions for code in libinterp/
author | Rik <rik@octave.org> |
---|---|
date | Mon, 28 Oct 2013 19:51:46 -0700 |
parents | d63878346099 |
children | 4197fc428c7d |
line wrap: on
line source
/* Copyright (C) 1996-2013 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 "CmplxSVD.h" #include "dbleSVD.h" #include "fCmplxSVD.h" #include "floatSVD.h" #include "defun.h" #include "error.h" #include "gripes.h" #include "oct-obj.h" #include "pr-output.h" #include "utils.h" #include "variables.h" static int Vsvd_driver = SVD::GESVD; DEFUN (svd, args, nargout, "-*- texinfo -*-\n\ @deftypefn {Built-in Function} {@var{s} =} svd (@var{A})\n\ @deftypefnx {Built-in Function} {[@var{U}, @var{S}, @var{V}] =} svd (@var{A})\n\ @deftypefnx {Built-in Function} {[@var{U}, @var{S}, @var{V}] =} svd (@var{A}, @var{econ})\n\ @cindex singular value decomposition\n\ Compute the singular value decomposition of @var{A}\n\ @tex\n\ $$\n\ A = U S V^{\\dagger}\n\ $$\n\ @end tex\n\ @ifnottex\n\ \n\ @example\n\ A = U*S*V'\n\ @end example\n\ \n\ @end ifnottex\n\ \n\ The function @code{svd} normally returns only the vector of singular values.\n\ When called with three return values, it computes\n\ @tex\n\ $U$, $S$, and $V$.\n\ @end tex\n\ @ifnottex\n\ @var{U}, @var{S}, and @var{V}.\n\ @end ifnottex\n\ For example,\n\ \n\ @example\n\ svd (hilb (3))\n\ @end example\n\ \n\ @noindent\n\ returns\n\ \n\ @example\n\ @group\n\ ans =\n\ \n\ 1.4083189\n\ 0.1223271\n\ 0.0026873\n\ @end group\n\ @end example\n\ \n\ @noindent\n\ and\n\ \n\ @example\n\ [u, s, v] = svd (hilb (3))\n\ @end example\n\ \n\ @noindent\n\ returns\n\ \n\ @example\n\ @group\n\ u =\n\ \n\ -0.82704 0.54745 0.12766\n\ -0.45986 -0.52829 -0.71375\n\ -0.32330 -0.64901 0.68867\n\ \n\ s =\n\ \n\ 1.40832 0.00000 0.00000\n\ 0.00000 0.12233 0.00000\n\ 0.00000 0.00000 0.00269\n\ \n\ v =\n\ \n\ -0.82704 0.54745 0.12766\n\ -0.45986 -0.52829 -0.71375\n\ -0.32330 -0.64901 0.68867\n\ @end group\n\ @end example\n\ \n\ If given a second argument, @code{svd} returns an economy-sized\n\ decomposition, eliminating the unnecessary rows or columns of @var{U} or\n\ @var{V}.\n\ @seealso{svd_driver, svds, eig, lu, chol, hess, qr, qz}\n\ @end deftypefn") { octave_value_list retval; int nargin = args.length (); if (nargin < 1 || nargin > 2 || nargout == 2 || nargout > 3) { print_usage (); return retval; } octave_value arg = args(0); octave_idx_type nr = arg.rows (); octave_idx_type nc = arg.columns (); if (arg.ndims () != 2) { error ("svd: A must be a 2-D matrix"); return retval; } bool isfloat = arg.is_single_type (); SVD::type type = ((nargout == 0 || nargout == 1) ? SVD::sigma_only : (nargin == 2) ? SVD::economy : SVD::std); SVD::driver driver = static_cast<SVD::driver> (Vsvd_driver); if (nr == 0 || nc == 0) { if (isfloat) { switch (type) { case SVD::std: retval(2) = FloatDiagMatrix (nc, nc, 1.0f); retval(1) = FloatMatrix (nr, nc); retval(0) = FloatDiagMatrix (nr, nr, 1.0f); break; case SVD::economy: retval(2) = FloatDiagMatrix (0, nc, 1.0f); retval(1) = FloatMatrix (0, 0); retval(0) = FloatDiagMatrix (nr, 0, 1.0f); break; case SVD::sigma_only: default: retval(0) = FloatMatrix (0, 1); break; } } else { switch (type) { case SVD::std: retval(2) = DiagMatrix (nc, nc, 1.0); retval(1) = Matrix (nr, nc); retval(0) = DiagMatrix (nr, nr, 1.0); break; case SVD::economy: retval(2) = DiagMatrix (0, nc, 1.0); retval(1) = Matrix (0, 0); retval(0) = DiagMatrix (nr, 0, 1.0); break; case SVD::sigma_only: default: retval(0) = Matrix (0, 1); break; } } } else { if (isfloat) { if (arg.is_real_type ()) { FloatMatrix tmp = arg.float_matrix_value (); if (! error_state) { if (tmp.any_element_is_inf_or_nan ()) { error ("svd: cannot take SVD of matrix containing Inf or NaN values"); return retval; } FloatSVD result (tmp, type, driver); FloatDiagMatrix sigma = result.singular_values (); if (nargout == 0 || nargout == 1) { retval(0) = sigma.extract_diag (); } else { retval(2) = result.right_singular_matrix (); retval(1) = sigma; retval(0) = result.left_singular_matrix (); } } } else if (arg.is_complex_type ()) { FloatComplexMatrix ctmp = arg.float_complex_matrix_value (); if (! error_state) { if (ctmp.any_element_is_inf_or_nan ()) { error ("svd: cannot take SVD of matrix containing Inf or NaN values"); return retval; } FloatComplexSVD result (ctmp, type, driver); FloatDiagMatrix sigma = result.singular_values (); if (nargout == 0 || nargout == 1) { retval(0) = sigma.extract_diag (); } else { retval(2) = result.right_singular_matrix (); retval(1) = sigma; retval(0) = result.left_singular_matrix (); } } } } else { if (arg.is_real_type ()) { Matrix tmp = arg.matrix_value (); if (! error_state) { if (tmp.any_element_is_inf_or_nan ()) { error ("svd: cannot take SVD of matrix containing Inf or NaN values"); return retval; } SVD result (tmp, type, driver); DiagMatrix sigma = result.singular_values (); if (nargout == 0 || nargout == 1) { retval(0) = sigma.extract_diag (); } else { retval(2) = result.right_singular_matrix (); retval(1) = sigma; retval(0) = result.left_singular_matrix (); } } } else if (arg.is_complex_type ()) { ComplexMatrix ctmp = arg.complex_matrix_value (); if (! error_state) { if (ctmp.any_element_is_inf_or_nan ()) { error ("svd: cannot take SVD of matrix containing Inf or NaN values"); return retval; } ComplexSVD result (ctmp, type, driver); DiagMatrix sigma = result.singular_values (); if (nargout == 0 || nargout == 1) { retval(0) = sigma.extract_diag (); } else { retval(2) = result.right_singular_matrix (); retval(1) = sigma; retval(0) = result.left_singular_matrix (); } } } else { gripe_wrong_type_arg ("svd", arg); return retval; } } } return retval; } /* %!assert (svd ([1, 2; 2, 1]), [3; 1], sqrt (eps)) %!test %! [u, s, v] = svd ([1, 2; 2, 1]); %! x = 1 / sqrt (2); %! assert (u, [-x, -x; -x, x], sqrt (eps)); %! assert (s, [3, 0; 0, 1], sqrt (eps)); %! assert (v, [-x, x; -x, -x], sqrt (eps)); %!test %! a = [1, 2, 3; 4, 5, 6]; %! [u, s, v] = svd (a); %! assert (u * s * v', a, sqrt (eps)); %!test %! a = [1, 2; 3, 4; 5, 6]; %! [u, s, v] = svd (a); %! assert (u * s * v', a, sqrt (eps)); %!test %! a = [1, 2, 3; 4, 5, 6]; %! [u, s, v] = svd (a, 1); %! assert (u * s * v', a, sqrt (eps)); %!test %! a = [1, 2; 3, 4; 5, 6]; %! [u, s, v] = svd (a, 1); %! assert (u * s * v', a, sqrt (eps)); %!assert (svd (single ([1, 2; 2, 1])), single ([3; 1]), sqrt (eps ("single"))) %!test %! [u, s, v] = svd (single ([1, 2; 2, 1])); %! x = single (1 / sqrt (2)); %! assert (u, [-x, -x; -x, x], sqrt (eps ("single"))); %! assert (s, single ([3, 0; 0, 1]), sqrt (eps ("single"))); %! assert (v, [-x, x; -x, -x], sqrt (eps ("single"))); %!test %! a = single ([1, 2, 3; 4, 5, 6]); %! [u, s, v] = svd (a); %! assert (u * s * v', a, sqrt (eps ("single"))); %!test %! a = single ([1, 2; 3, 4; 5, 6]); %! [u, s, v] = svd (a); %! assert (u * s * v', a, sqrt (eps ("single"))); %!test %! a = single ([1, 2, 3; 4, 5, 6]); %! [u, s, v] = svd (a, 1); %! assert (u * s * v', a, sqrt (eps ("single"))); %!test %! a = single ([1, 2; 3, 4; 5, 6]); %! [u, s, v] = svd (a, 1); %! assert (u * s * v', a, sqrt (eps ("single"))); %!test %! a = zeros (0, 5); %! [u, s, v] = svd (a); %! assert (size (u), [0, 0]); %! assert (size (s), [0, 5]); %! assert (size (v), [5, 5]); %!test %! a = zeros (5, 0); %! [u, s, v] = svd (a, 1); %! assert (size (u), [5, 0]); %! assert (size (s), [0, 0]); %! assert (size (v), [0, 0]); %!error svd () %!error svd ([1, 2; 4, 5], 2, 3) %!error [u, v] = svd ([1, 2; 3, 4]) */ DEFUN (svd_driver, args, nargout, "-*- texinfo -*-\n\ @deftypefn {Built-in Function} {@var{val} =} svd_driver ()\n\ @deftypefnx {Built-in Function} {@var{old_val} =} svd_driver (@var{new_val})\n\ @deftypefnx {Built-in Function} {} svd_driver (@var{new_val}, \"local\")\n\ Query or set the underlying @sc{lapack} driver used by @code{svd}.\n\ Currently recognized values are @qcode{\"gesvd\"} and @qcode{\"gesdd\"}. \n\ The default is @qcode{\"gesvd\"}.\n\ \n\ When called from inside a function with the @qcode{\"local\"} option, the\n\ variable is changed locally for the function and any subroutines it calls. \n\ The original variable value is restored when exiting the function.\n\ @seealso{svd}\n\ @end deftypefn") { static const char *driver_names[] = { "gesvd", "gesdd", 0 }; return SET_INTERNAL_VARIABLE_CHOICES (svd_driver, driver_names); } /* %!test %! A = [1+1i, 1-1i, 0; 0, 2, 0; 1i, 1i, 1+2i]; %! old_driver = svd_driver ("gesvd"); %! [U1, S1, V1] = svd (A); %! svd_driver ("gesdd"); %! [U2, S2, V2] = svd (A); %! assert (U1, U2, 5*eps); %! assert (S1, S2, 5*eps); %! assert (V1, V2, 5*eps); %! svd_driver (old_driver); */