Mercurial > octave
annotate libinterp/corefcn/svd.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 | cbced1c09916 |
children | aba2e6293dd8 |
rev | line source |
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2928 | 1 /* |
2 | |
19697
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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 | |
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24 # include "config.h" |
2928 | 25 #endif |
26 | |
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27 #include "svd.h" |
2928 | 28 |
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29 #include "defun.h" |
2928 | 30 #include "error.h" |
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31 #include "errwarn.h" |
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32 #include "ovl.h" |
2928 | 33 #include "pr-output.h" |
34 #include "utils.h" | |
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35 #include "variables.h" |
2928 | 36 |
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37 static std::string Vsvd_driver = "gesvd"; |
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38 |
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39 template <typename T> |
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40 static typename svd<T>::type |
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41 svd_type (int nargin, int nargout) |
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42 { |
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43 return ((nargout == 0 || nargout == 1) |
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44 ? svd<T>::sigma_only |
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45 : (nargin == 2) ? svd<T>::economy : svd<T>::std); |
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46 } |
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47 |
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48 template <typename T> |
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49 static typename svd<T>::driver |
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50 svd_driver (void) |
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51 { |
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52 return Vsvd_driver == "gesvd" ? svd<T>::GESVD : svd<T>::GESDD; |
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53 } |
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55 DEFUN (svd, args, nargout, |
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56 "-*- texinfo -*-\n\ |
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57 @deftypefn {} {@var{s} =} svd (@var{A})\n\ |
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58 @deftypefnx {} {[@var{U}, @var{S}, @var{V}] =} svd (@var{A})\n\ |
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59 @deftypefnx {} {[@var{U}, @var{S}, @var{V}] =} svd (@var{A}, @var{econ})\n\ |
3372 | 60 @cindex singular value decomposition\n\ |
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61 Compute the singular value decomposition of @var{A}\n\ |
3372 | 62 @tex\n\ |
63 $$\n\ | |
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64 A = U S V^{\\dagger}\n\ |
3372 | 65 $$\n\ |
66 @end tex\n\ | |
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67 @ifnottex\n\ |
3372 | 68 \n\ |
69 @example\n\ | |
6620 | 70 A = U*S*V'\n\ |
3372 | 71 @end example\n\ |
10840 | 72 \n\ |
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73 @end ifnottex\n\ |
3372 | 74 \n\ |
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75 The function @code{svd} normally returns only the vector of singular values.\n\ |
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76 When called with three return values, it computes\n\ |
3372 | 77 @tex\n\ |
78 $U$, $S$, and $V$.\n\ | |
79 @end tex\n\ | |
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80 @ifnottex\n\ |
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81 @var{U}, @var{S}, and @var{V}.\n\ |
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82 @end ifnottex\n\ |
3372 | 83 For example,\n\ |
84 \n\ | |
85 @example\n\ | |
86 svd (hilb (3))\n\ | |
87 @end example\n\ | |
88 \n\ | |
89 @noindent\n\ | |
90 returns\n\ | |
2928 | 91 \n\ |
3372 | 92 @example\n\ |
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93 @group\n\ |
3372 | 94 ans =\n\ |
95 \n\ | |
96 1.4083189\n\ | |
97 0.1223271\n\ | |
98 0.0026873\n\ | |
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99 @end group\n\ |
3372 | 100 @end example\n\ |
101 \n\ | |
102 @noindent\n\ | |
103 and\n\ | |
104 \n\ | |
105 @example\n\ | |
106 [u, s, v] = svd (hilb (3))\n\ | |
107 @end example\n\ | |
108 \n\ | |
109 @noindent\n\ | |
110 returns\n\ | |
111 \n\ | |
112 @example\n\ | |
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113 @group\n\ |
3372 | 114 u =\n\ |
2928 | 115 \n\ |
3372 | 116 -0.82704 0.54745 0.12766\n\ |
117 -0.45986 -0.52829 -0.71375\n\ | |
118 -0.32330 -0.64901 0.68867\n\ | |
119 \n\ | |
120 s =\n\ | |
121 \n\ | |
122 1.40832 0.00000 0.00000\n\ | |
123 0.00000 0.12233 0.00000\n\ | |
124 0.00000 0.00000 0.00269\n\ | |
125 \n\ | |
126 v =\n\ | |
127 \n\ | |
128 -0.82704 0.54745 0.12766\n\ | |
129 -0.45986 -0.52829 -0.71375\n\ | |
130 -0.32330 -0.64901 0.68867\n\ | |
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131 @end group\n\ |
3372 | 132 @end example\n\ |
133 \n\ | |
134 If given a second argument, @code{svd} returns an economy-sized\n\ | |
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135 decomposition, eliminating the unnecessary rows or columns of @var{U} or\n\ |
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136 @var{V}.\n\ |
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137 @seealso{svd_driver, svds, eig, lu, chol, hess, qr, qz}\n\ |
3372 | 138 @end deftypefn") |
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140 int nargin = args.length (); | |
141 | |
142 if (nargin < 1 || nargin > 2 || nargout == 2 || nargout > 3) | |
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143 print_usage (); |
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145 octave_value arg = args(0); | |
146 | |
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147 if (arg.ndims () != 2) |
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148 error ("svd: A must be a 2-D matrix"); |
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149 |
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150 octave_value_list retval; |
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151 |
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152 bool isfloat = arg.is_single_type (); |
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153 |
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154 if (isfloat) |
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155 { |
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156 if (arg.is_real_type ()) |
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157 { |
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158 FloatMatrix tmp = arg.float_matrix_value (); |
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159 |
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160 if (tmp.any_element_is_inf_or_nan ()) |
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161 error ("svd: cannot take SVD of matrix containing Inf or NaN values"); |
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162 |
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163 svd<FloatMatrix> result (tmp, |
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164 svd_type<FloatMatrix> (nargin, nargout), |
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165 svd_driver<FloatMatrix> ()); |
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166 |
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167 FloatDiagMatrix sigma = result.singular_values (); |
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168 |
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169 if (nargout == 0 || nargout == 1) |
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170 retval(0) = sigma.extract_diag (); |
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171 else |
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172 retval = ovl (result.left_singular_matrix (), |
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173 sigma, |
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174 result.right_singular_matrix ()); |
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175 } |
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176 else if (arg.is_complex_type ()) |
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177 { |
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178 FloatComplexMatrix ctmp = arg.float_complex_matrix_value (); |
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179 |
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180 if (ctmp.any_element_is_inf_or_nan ()) |
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181 error ("svd: cannot take SVD of matrix containing Inf or NaN values"); |
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182 |
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183 svd<FloatComplexMatrix> result (ctmp, |
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184 svd_type<FloatComplexMatrix> (nargin, nargout), |
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185 svd_driver<FloatComplexMatrix> ()); |
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186 |
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187 FloatDiagMatrix sigma = result.singular_values (); |
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188 |
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189 if (nargout == 0 || nargout == 1) |
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190 retval(0) = sigma.extract_diag (); |
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191 else |
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192 retval = ovl (result.left_singular_matrix (), |
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193 sigma, |
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194 result.right_singular_matrix ()); |
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195 } |
2928 | 196 } |
197 else | |
198 { | |
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199 if (arg.is_real_type ()) |
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200 { |
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201 Matrix tmp = arg.matrix_value (); |
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202 |
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203 if (tmp.any_element_is_inf_or_nan ()) |
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204 error ("svd: cannot take SVD of matrix containing Inf or NaN values"); |
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206 svd<Matrix> result (tmp, |
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207 svd_type<Matrix> (nargin, nargout), |
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208 svd_driver<Matrix> ()); |
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209 |
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210 DiagMatrix sigma = result.singular_values (); |
4478 | 211 |
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212 if (nargout == 0 || nargout == 1) |
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213 retval(0) = sigma.extract_diag (); |
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214 else |
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215 retval = ovl (result.left_singular_matrix (), |
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216 sigma, |
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217 result.right_singular_matrix ()); |
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218 } |
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219 else if (arg.is_complex_type ()) |
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220 { |
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221 ComplexMatrix ctmp = arg.complex_matrix_value (); |
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223 if (ctmp.any_element_is_inf_or_nan ()) |
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224 error ("svd: cannot take SVD of matrix containing Inf or NaN values"); |
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226 svd<ComplexMatrix> result (ctmp, |
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227 svd_type<ComplexMatrix> (nargin, nargout), |
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228 svd_driver<ComplexMatrix> ()); |
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230 DiagMatrix sigma = result.singular_values (); |
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231 |
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232 if (nargout == 0 || nargout == 1) |
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233 retval(0) = sigma.extract_diag (); |
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234 else |
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235 retval = ovl (result.left_singular_matrix (), |
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236 sigma, |
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237 result.right_singular_matrix ()); |
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238 } |
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240 err_wrong_type_arg ("svd", arg); |
2928 | 241 } |
242 | |
243 return retval; | |
244 } | |
245 | |
246 /* | |
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247 %!assert (svd ([1, 2; 2, 1]), [3; 1], sqrt (eps)) |
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248 |
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249 %!test |
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250 %! [u, s, v] = svd ([1, 2; 2, 1]); |
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251 %! x = 1 / sqrt (2); |
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252 %! assert (u, [-x, -x; -x, x], sqrt (eps)); |
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253 %! assert (s, [3, 0; 0, 1], sqrt (eps)); |
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254 %! assert (v, [-x, x; -x, -x], sqrt (eps)); |
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255 |
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256 %!test |
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257 %! a = [1, 2, 3; 4, 5, 6]; |
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258 %! [u, s, v] = svd (a); |
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259 %! assert (u * s * v', a, sqrt (eps)); |
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260 |
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261 %!test |
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262 %! a = [1, 2; 3, 4; 5, 6]; |
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263 %! [u, s, v] = svd (a); |
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264 %! assert (u * s * v', a, sqrt (eps)); |
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265 |
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266 %!test |
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267 %! a = [1, 2, 3; 4, 5, 6]; |
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268 %! [u, s, v] = svd (a, 1); |
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269 %! assert (u * s * v', a, sqrt (eps)); |
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270 |
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271 %!test |
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272 %! a = [1, 2; 3, 4; 5, 6]; |
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273 %! [u, s, v] = svd (a, 1); |
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274 %! assert (u * s * v', a, sqrt (eps)); |
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275 |
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276 %!assert (svd (single ([1, 2; 2, 1])), single ([3; 1]), sqrt (eps ("single"))) |
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277 |
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278 %!test |
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279 %! [u, s, v] = svd (single ([1, 2; 2, 1])); |
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280 %! x = single (1 / sqrt (2)); |
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281 %! assert (u, [-x, -x; -x, x], sqrt (eps ("single"))); |
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282 %! assert (s, single ([3, 0; 0, 1]), sqrt (eps ("single"))); |
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283 %! assert (v, [-x, x; -x, -x], sqrt (eps ("single"))); |
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284 |
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285 %!test |
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286 %! a = single ([1, 2, 3; 4, 5, 6]); |
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287 %! [u, s, v] = svd (a); |
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288 %! assert (u * s * v', a, sqrt (eps ("single"))); |
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289 |
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290 %!test |
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291 %! a = single ([1, 2; 3, 4; 5, 6]); |
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292 %! [u, s, v] = svd (a); |
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293 %! assert (u * s * v', a, sqrt (eps ("single"))); |
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294 |
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295 %!test |
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296 %! a = single ([1, 2, 3; 4, 5, 6]); |
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297 %! [u, s, v] = svd (a, 1); |
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298 %! assert (u * s * v', a, sqrt (eps ("single"))); |
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299 |
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300 %!test |
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301 %! a = single ([1, 2; 3, 4; 5, 6]); |
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302 %! [u, s, v] = svd (a, 1); |
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303 %! assert (u * s * v', a, sqrt (eps ("single"))); |
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304 |
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305 %!test |
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306 %! a = zeros (0, 5); |
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307 %! [u, s, v] = svd (a); |
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308 %! assert (size (u), [0, 0]); |
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309 %! assert (size (s), [0, 5]); |
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310 %! assert (size (v), [5, 5]); |
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311 |
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312 %!test |
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313 %! a = zeros (5, 0); |
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314 %! [u, s, v] = svd (a, 1); |
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315 %! assert (size (u), [5, 0]); |
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316 %! assert (size (s), [0, 0]); |
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317 %! assert (size (v), [0, 0]); |
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318 |
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319 %!error svd () |
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320 %!error svd ([1, 2; 4, 5], 2, 3) |
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321 %!error [u, v] = svd ([1, 2; 3, 4]) |
2928 | 322 */ |
10601 | 323 |
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324 DEFUN (svd_driver, args, nargout, |
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325 "-*- texinfo -*-\n\ |
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326 @deftypefn {} {@var{val} =} svd_driver ()\n\ |
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327 @deftypefnx {} {@var{old_val} =} svd_driver (@var{new_val})\n\ |
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328 @deftypefnx {} {} svd_driver (@var{new_val}, \"local\")\n\ |
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329 Query or set the underlying @sc{lapack} driver used by @code{svd}.\n\ |
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330 \n\ |
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331 Currently recognized values are @qcode{\"gesvd\"} and @qcode{\"gesdd\"}.\n\ |
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332 The default is @qcode{\"gesvd\"}.\n\ |
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333 \n\ |
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334 When called from inside a function with the @qcode{\"local\"} option, the\n\ |
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335 variable is changed locally for the function and any subroutines it calls.\n\ |
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336 The original variable value is restored when exiting the function.\n\ |
10601 | 337 @seealso{svd}\n\ |
338 @end deftypefn") | |
339 { | |
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340 static const char *driver_names[] = { "gesvd", "gesdd", 0 }; |
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342 return SET_INTERNAL_VARIABLE_CHOICES (svd_driver, driver_names); |
10601 | 343 } |
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344 |
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345 /* |
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346 %!test |
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347 %! A = [1+1i, 1-1i, 0; 0, 2, 0; 1i, 1i, 1+2i]; |
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348 %! old_driver = svd_driver ("gesvd"); |
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349 %! [U1, S1, V1] = svd (A); |
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350 %! svd_driver ("gesdd"); |
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351 %! [U2, S2, V2] = svd (A); |
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352 %! assert (U1, U2, 5*eps); |
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353 %! assert (S1, S2, 5*eps); |
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354 %! assert (V1, V2, 5*eps); |
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355 %! svd_driver (old_driver); |
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356 */ |