Mercurial > octave
annotate libinterp/corefcn/gsvd.cc @ 31605:e88a07dec498 stable
maint: Use macros to begin/end C++ namespaces.
* oct-conf-post-public.in.h: Define two macros (OCTAVE_BEGIN_NAMESPACE,
OCTAVE_END_NAMESPACE) that can be used to start/end a namespace.
* mk-opts.pl, build-env.h, build-env.in.cc, __betainc__.cc, __contourc__.cc,
__dsearchn__.cc, __eigs__.cc, __expint__.cc, __ftp__.cc, __gammainc__.cc,
__ichol__.cc, __ilu__.cc, __isprimelarge__.cc, __lin_interpn__.cc,
__magick_read__.cc, __pchip_deriv__.cc, __qp__.cc, amd.cc, auto-shlib.cc,
auto-shlib.h, balance.cc, base-text-renderer.cc, base-text-renderer.h,
besselj.cc, bitfcns.cc, bsxfun.cc, c-file-ptr-stream.cc, c-file-ptr-stream.h,
call-stack.cc, call-stack.h, ccolamd.cc, cellfun.cc, chol.cc, colamd.cc,
colloc.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc, data.h, debug.cc,
defaults.cc, defaults.h, defun-int.h, defun.cc, det.cc, dirfns.cc, display.cc,
display.h, dlmread.cc, dmperm.cc, dot.cc, dynamic-ld.cc, dynamic-ld.h, eig.cc,
ellipj.cc, environment.cc, environment.h, error.cc, error.h, errwarn.h,
event-manager.cc, event-manager.h, event-queue.cc, event-queue.h, fcn-info.cc,
fcn-info.h, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc,
ft-text-renderer.cc, ft-text-renderer.h, gcd.cc, getgrent.cc, getpwent.cc,
getrusage.cc, givens.cc, gl-render.cc, gl-render.h, gl2ps-print.cc,
gl2ps-print.h, graphics-toolkit.cc, graphics-toolkit.h, graphics.cc,
graphics.in.h, gsvd.cc, gtk-manager.cc, gtk-manager.h, hash.cc, help.cc,
help.h, hess.cc, hex2num.cc, hook-fcn.cc, hook-fcn.h, input.cc, input.h,
interpreter-private.cc, interpreter-private.h, interpreter.cc, interpreter.h,
inv.cc, jsondecode.cc, jsonencode.cc, kron.cc, latex-text-renderer.cc,
latex-text-renderer.h, load-path.cc, load-path.h, load-save.cc, load-save.h,
lookup.cc, ls-ascii-helper.cc, ls-ascii-helper.h, ls-oct-text.cc, ls-utils.cc,
ls-utils.h, lsode.cc, lu.cc, mappers.cc, matrix_type.cc, max.cc, mex-private.h,
mex.cc, mgorth.cc, nproc.cc, oct-fstrm.cc, oct-fstrm.h, oct-hdf5-types.cc,
oct-hdf5-types.h, oct-hist.cc, oct-hist.h, oct-iostrm.cc, oct-iostrm.h,
oct-opengl.h, oct-prcstrm.cc, oct-prcstrm.h, oct-procbuf.cc, oct-procbuf.h,
oct-process.cc, oct-process.h, oct-stdstrm.h, oct-stream.cc, oct-stream.h,
oct-strstrm.cc, oct-strstrm.h, oct-tex-lexer.in.ll, oct-tex-parser.yy,
ordqz.cc, ordschur.cc, pager.cc, pager.h, pinv.cc, pow2.cc, pr-flt-fmt.cc,
pr-output.cc, procstream.cc, procstream.h, psi.cc, qr.cc, quad.cc, quadcc.cc,
qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, settings.cc, settings.h,
sighandlers.cc, sighandlers.h, sparse-xdiv.cc, sparse-xdiv.h, sparse-xpow.cc,
sparse-xpow.h, sparse.cc, spparms.cc, sqrtm.cc, stack-frame.cc, stack-frame.h,
stream-euler.cc, strfind.cc, strfns.cc, sub2ind.cc, svd.cc, sylvester.cc,
symbfact.cc, syminfo.cc, syminfo.h, symrcm.cc, symrec.cc, symrec.h,
symscope.cc, symscope.h, symtab.cc, symtab.h, syscalls.cc, sysdep.cc, sysdep.h,
text-engine.cc, text-engine.h, text-renderer.cc, text-renderer.h, time.cc,
toplev.cc, tril.cc, tsearch.cc, typecast.cc, url-handle-manager.cc,
url-handle-manager.h, urlwrite.cc, utils.cc, utils.h, variables.cc,
variables.h, xdiv.cc, xdiv.h, xnorm.cc, xnorm.h, xpow.cc, xpow.h,
__delaunayn__.cc, __fltk_uigetfile__.cc, __glpk__.cc, __init_fltk__.cc,
__init_gnuplot__.cc, __ode15__.cc, __voronoi__.cc, audiodevinfo.cc,
audioread.cc, convhulln.cc, fftw.cc, gzip.cc, mk-build-env-features.sh,
mk-builtins.pl, cdef-class.cc, cdef-class.h, cdef-fwd.h, cdef-manager.cc,
cdef-manager.h, cdef-method.cc, cdef-method.h, cdef-object.cc, cdef-object.h,
cdef-package.cc, cdef-package.h, cdef-property.cc, cdef-property.h,
cdef-utils.cc, cdef-utils.h, ov-base.cc, ov-base.h, ov-bool-mat.cc,
ov-builtin.h, ov-cell.cc, ov-class.cc, ov-class.h, ov-classdef.cc,
ov-classdef.h, ov-complex.cc, ov-fcn-handle.cc, ov-fcn-handle.h, ov-fcn.h,
ov-java.cc, ov-java.h, ov-mex-fcn.h, ov-null-mat.cc, ov-oncleanup.cc,
ov-struct.cc, ov-typeinfo.cc, ov-typeinfo.h, ov-usr-fcn.cc, ov-usr-fcn.h,
ov.cc, ov.h, octave.cc, octave.h, mk-ops.sh, 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-fcdm-fcdm.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-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-m-cm.cc, op-m-cs.cc, op-m-m.cc, op-m-s.cc,
op-m-scm.cc, op-m-sm.cc, op-mi.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, ops.h,
anon-fcn-validator.cc, anon-fcn-validator.h, bp-table.cc, bp-table.h,
comment-list.cc, comment-list.h, filepos.h, lex.h, lex.ll, oct-lvalue.cc,
oct-lvalue.h, oct-parse.yy, parse.h, profiler.cc, profiler.h,
pt-anon-scopes.cc, pt-anon-scopes.h, pt-arg-list.cc, pt-arg-list.h,
pt-args-block.cc, pt-args-block.h, pt-array-list.cc, pt-array-list.h,
pt-assign.cc, pt-assign.h, pt-binop.cc, pt-binop.h, pt-bp.cc, pt-bp.h,
pt-cbinop.cc, pt-cbinop.h, pt-cell.cc, pt-cell.h, pt-check.cc, pt-check.h,
pt-classdef.cc, pt-classdef.h, pt-cmd.h, pt-colon.cc, pt-colon.h, pt-const.cc,
pt-const.h, pt-decl.cc, pt-decl.h, pt-eval.cc, pt-eval.h, pt-except.cc,
pt-except.h, pt-exp.cc, pt-exp.h, pt-fcn-handle.cc, pt-fcn-handle.h, pt-id.cc,
pt-id.h, pt-idx.cc, pt-idx.h, pt-jump.h, pt-loop.cc, pt-loop.h, pt-mat.cc,
pt-mat.h, pt-misc.cc, pt-misc.h, pt-pr-code.cc, pt-pr-code.h, pt-select.cc,
pt-select.h, pt-spmd.cc, pt-spmd.h, pt-stmt.cc, pt-stmt.h, pt-tm-const.cc,
pt-tm-const.h, pt-unop.cc, pt-unop.h, pt-vm-eval.cc, pt-walk.cc, pt-walk.h,
pt.cc, pt.h, token.cc, token.h, Range.cc, Range.h, idx-vector.cc, idx-vector.h,
range-fwd.h, CollocWt.cc, CollocWt.h, aepbalance.cc, aepbalance.h, chol.cc,
chol.h, gepbalance.cc, gepbalance.h, gsvd.cc, gsvd.h, hess.cc, hess.h,
lo-mappers.cc, lo-mappers.h, lo-specfun.cc, lo-specfun.h, lu.cc, lu.h,
oct-convn.cc, oct-convn.h, oct-fftw.cc, oct-fftw.h, oct-norm.cc, oct-norm.h,
oct-rand.cc, oct-rand.h, oct-spparms.cc, oct-spparms.h, qr.cc, qr.h, qrp.cc,
qrp.h, randgamma.cc, randgamma.h, randmtzig.cc, randmtzig.h, randpoisson.cc,
randpoisson.h, schur.cc, schur.h, sparse-chol.cc, sparse-chol.h, sparse-lu.cc,
sparse-lu.h, sparse-qr.cc, sparse-qr.h, svd.cc, svd.h, child-list.cc,
child-list.h, dir-ops.cc, dir-ops.h, file-ops.cc, file-ops.h, file-stat.cc,
file-stat.h, lo-sysdep.cc, lo-sysdep.h, lo-sysinfo.cc, lo-sysinfo.h,
mach-info.cc, mach-info.h, oct-env.cc, oct-env.h, oct-group.cc, oct-group.h,
oct-password.cc, oct-password.h, oct-syscalls.cc, oct-syscalls.h, oct-time.cc,
oct-time.h, oct-uname.cc, oct-uname.h, action-container.cc, action-container.h,
base-list.h, cmd-edit.cc, cmd-edit.h, cmd-hist.cc, cmd-hist.h, f77-fcn.h,
file-info.cc, file-info.h, lo-array-errwarn.cc, lo-array-errwarn.h, lo-hash.cc,
lo-hash.h, lo-ieee.h, lo-regexp.cc, lo-regexp.h, lo-utils.cc, lo-utils.h,
oct-base64.cc, oct-base64.h, oct-glob.cc, oct-glob.h, oct-inttypes.h,
oct-mutex.cc, oct-mutex.h, oct-refcount.h, oct-shlib.cc, oct-shlib.h,
oct-sparse.cc, oct-sparse.h, oct-string.h, octave-preserve-stream-state.h,
pathsearch.cc, pathsearch.h, quit.cc, quit.h, unwind-prot.cc, unwind-prot.h,
url-transfer.cc, url-transfer.h : Use new macros to begin/end C++ namespaces.
author | Rik <rik@octave.org> |
---|---|
date | Thu, 01 Dec 2022 14:23:45 -0800 |
parents | 796f54d4ddbf |
children | aac27ad79be6 |
rev | line source |
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1 //////////////////////////////////////////////////////////////////////// |
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2 // |
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3 // Copyright (C) 1997-2022 The Octave Project Developers |
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4 // |
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5 // See the file COPYRIGHT.md in the top-level directory of this |
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6 // distribution or <https://octave.org/copyright/>. |
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7 // |
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8 // This file is part of Octave. |
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9 // |
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10 // Octave is free software: you can redistribute it and/or modify it |
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11 // under the terms of the GNU General Public License as published by |
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12 // the Free Software Foundation, either version 3 of the License, or |
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13 // (at your option) any later version. |
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14 // |
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15 // Octave is distributed in the hope that it will be useful, but |
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16 // WITHOUT ANY WARRANTY; without even the implied warranty of |
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17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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18 // GNU General Public License for more details. |
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19 // |
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20 // You should have received a copy of the GNU General Public License |
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21 // along with Octave; see the file COPYING. If not, see |
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22 // <https://www.gnu.org/licenses/>. |
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23 // |
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24 //////////////////////////////////////////////////////////////////////// |
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25 |
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26 #ifdef HAVE_CONFIG_H |
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27 # include <config.h> |
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28 #endif |
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29 |
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30 #include "dMatrix.h" |
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31 #include "CMatrix.h" |
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32 #include "dDiagMatrix.h" |
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33 #include "gsvd.h" |
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34 |
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35 #include "defun.h" |
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36 #include "defun-int.h" |
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37 #include "error.h" |
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38 #include "errwarn.h" |
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39 #include "utils.h" |
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40 #include "ovl.h" |
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41 #include "ov.h" |
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42 |
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43 OCTAVE_BEGIN_NAMESPACE(octave) |
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44 |
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45 template <typename T> |
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46 static typename math::gsvd<T>::Type |
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47 gsvd_type (int nargout, int nargin) |
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48 { |
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49 if (nargout == 0 || nargout == 1) |
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50 return octave::math::gsvd<T>::Type::sigma_only; |
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51 else if (nargin < 3) |
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52 return octave::math::gsvd<T>::Type::std; |
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53 else |
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54 return octave::math::gsvd<T>::Type::economy; |
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55 } |
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56 |
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57 // Named do_gsvd to avoid conflicts with the gsvd class itself. |
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58 template <typename T> |
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59 static octave_value_list |
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60 do_gsvd (const T& A, const T& B, |
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61 const octave_idx_type nargout, const octave_idx_type nargin, |
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62 bool is_single = false) |
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63 { |
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64 math::gsvd<T> result (A, B, gsvd_type<T> (nargout, nargin)); |
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65 |
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66 octave_value_list retval (nargout); |
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67 if (nargout <= 1) |
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68 { |
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69 if (is_single) |
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70 { |
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71 FloatMatrix sigA = result.singular_values_A (); |
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72 FloatMatrix sigB = result.singular_values_B (); |
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73 for (int i = sigA.rows () - 1; i >= 0; i--) |
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74 sigA.xelem (i) /= sigB.xelem (i); |
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75 retval(0) = sigA.sort (); |
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76 } |
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77 else |
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78 { |
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79 Matrix sigA = result.singular_values_A (); |
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80 Matrix sigB = result.singular_values_B (); |
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81 for (int i = sigA.rows () - 1; i >= 0; i--) |
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82 sigA.xelem (i) /= sigB.xelem (i); |
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83 retval(0) = sigA.sort (); |
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84 } |
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85 } |
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86 else |
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87 { |
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88 switch (nargout) |
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89 { |
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90 case 5: |
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91 retval(4) = result.singular_values_B (); |
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92 OCTAVE_FALLTHROUGH; |
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93 |
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94 case 4: |
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95 retval(3) = result.singular_values_A (); |
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96 OCTAVE_FALLTHROUGH; |
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97 |
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98 case 3: |
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99 retval(2) = result.right_singular_matrix (); |
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100 } |
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101 |
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102 retval(1) = result.left_singular_matrix_B (); |
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103 retval(0) = result.left_singular_matrix_A (); |
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104 } |
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105 |
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106 return retval; |
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107 } |
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108 |
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109 DEFUN (gsvd, args, nargout, |
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110 doc: /* -*- texinfo -*- |
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111 @deftypefn {} {@var{S} =} gsvd (@var{A}, @var{B}) |
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112 @deftypefnx {} {[@var{U}, @var{V}, @var{X}, @var{C}, @var{S}] =} gsvd (@var{A}, @var{B}) |
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113 @deftypefnx {} {[@var{U}, @var{V}, @var{X}, @var{C}, @var{S}] =} gsvd (@var{A}, @var{B}, 0) |
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114 Compute the generalized singular value decomposition of (@var{A}, @var{B}). |
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115 |
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116 The generalized singular value decomposition is defined by the following |
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117 relations: |
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118 |
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119 @tex |
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120 $$ A = U C X^\dagger $$ |
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121 $$ B = V S X^\dagger $$ |
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122 $$ C^\dagger C + S^\dagger S = eye (columns (A)) $$ |
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123 @end tex |
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124 @ifnottex |
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125 |
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126 @example |
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127 @group |
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128 A = U*C*X' |
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129 B = V*S*X' |
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130 C'*C + S'*S = eye (columns (A)) |
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131 @end group |
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132 @end example |
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133 |
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134 @end ifnottex |
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135 |
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136 The function @code{gsvd} normally returns just the vector of generalized |
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137 singular values |
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138 @tex |
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139 $$ \sqrt{{{diag (C^\dagger C)} \over {diag (S^\dagger S)}}} $$ |
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140 @end tex |
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141 @ifnottex |
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142 @code{sqrt (diag (C'*C) ./ diag (S'*S))}. |
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143 @end ifnottex |
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144 If asked for five return values, it also computes |
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145 @tex |
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146 $U$, $V$, $X$, and $C$. |
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147 @end tex |
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148 @ifnottex |
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149 U, V, X, and C. |
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150 @end ifnottex |
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151 |
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152 If the optional third input is present, @code{gsvd} constructs the |
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153 "economy-sized" decomposition where the number of columns of @var{U}, @var{V} |
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154 and the number of rows of @var{C}, @var{S} is less than or equal to the number |
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155 of columns of @var{A}. This option is not yet implemented. |
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156 |
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157 Programming Note: the code is a wrapper to the corresponding @sc{lapack} dggsvd |
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158 and zggsvd routines. If matrices @var{A} and @var{B} are @emph{both} rank |
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159 deficient then @sc{lapack} will return an incorrect factorization. Programmers |
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160 should avoid this combination. |
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161 @seealso{svd} |
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162 @end deftypefn */) |
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163 { |
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164 int nargin = args.length (); |
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165 |
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166 if (nargin < 2 || nargin > 3) |
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167 print_usage (); |
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168 else if (nargin == 3) |
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169 { |
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170 // FIXME: when "economy" is implemented delete this code |
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171 warning ("gsvd: economy-sized decomposition is not yet implemented, returning full decomposition"); |
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172 nargin = 2; |
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173 } |
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174 |
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175 octave_value_list retval; |
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176 |
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177 octave_value argA = args(0); |
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178 octave_value argB = args(1); |
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179 |
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180 if (argA.columns () != argB.columns ()) |
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181 error ("gsvd: A and B must have the same number of columns"); |
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182 |
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183 if (argA.is_single_type () || argB.is_single_type ()) |
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184 { |
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185 if (argA.isreal () && argB.isreal ()) |
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186 { |
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187 FloatMatrix tmpA = argA.xfloat_matrix_value ("gsvd: A must be a real or complex matrix"); |
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188 FloatMatrix tmpB = argB.xfloat_matrix_value ("gsvd: B must be a real or complex matrix"); |
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189 |
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190 if (tmpA.any_element_is_inf_or_nan ()) |
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191 error ("gsvd: A cannot have Inf or NaN values"); |
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192 if (tmpB.any_element_is_inf_or_nan ()) |
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193 error ("gsvd: B cannot have Inf or NaN values"); |
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194 |
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195 retval = do_gsvd (tmpA, tmpB, nargout, nargin, true); |
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196 } |
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197 else if (argA.iscomplex () || argB.iscomplex ()) |
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198 { |
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199 FloatComplexMatrix ctmpA = argA.xfloat_complex_matrix_value ("gsvd: A must be a real or complex matrix"); |
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200 FloatComplexMatrix ctmpB = argB.xfloat_complex_matrix_value ("gsvd: B must be a real or complex matrix"); |
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201 |
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202 if (ctmpA.any_element_is_inf_or_nan ()) |
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203 error ("gsvd: A cannot have Inf or NaN values"); |
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204 if (ctmpB.any_element_is_inf_or_nan ()) |
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205 error ("gsvd: B cannot have Inf or NaN values"); |
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206 |
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207 retval = do_gsvd (ctmpA, ctmpB, nargout, nargin, true); |
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208 } |
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209 else |
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210 error ("gsvd: A and B must be real or complex matrices"); |
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211 } |
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212 else |
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213 { |
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214 if (argA.isreal () && argB.isreal ()) |
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215 { |
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216 Matrix tmpA = argA.xmatrix_value ("gsvd: A must be a real or complex matrix"); |
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217 Matrix tmpB = argB.xmatrix_value ("gsvd: B must be a real or complex matrix"); |
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218 |
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219 if (tmpA.any_element_is_inf_or_nan ()) |
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220 error ("gsvd: A cannot have Inf or NaN values"); |
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221 if (tmpB.any_element_is_inf_or_nan ()) |
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222 error ("gsvd: B cannot have Inf or NaN values"); |
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223 |
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224 retval = do_gsvd (tmpA, tmpB, nargout, nargin); |
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225 } |
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226 else if (argA.iscomplex () || argB.iscomplex ()) |
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227 { |
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228 ComplexMatrix ctmpA = argA.xcomplex_matrix_value ("gsvd: A must be a real or complex matrix"); |
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229 ComplexMatrix ctmpB = argB.xcomplex_matrix_value ("gsvd: B must be a real or complex matrix"); |
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230 |
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231 if (ctmpA.any_element_is_inf_or_nan ()) |
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232 error ("gsvd: A cannot have Inf or NaN values"); |
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233 if (ctmpB.any_element_is_inf_or_nan ()) |
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234 error ("gsvd: B cannot have Inf or NaN values"); |
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235 |
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236 retval = do_gsvd (ctmpA, ctmpB, nargout, nargin); |
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237 } |
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238 else |
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239 error ("gsvd: A and B must be real or complex matrices"); |
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240 } |
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241 |
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242 return retval; |
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243 } |
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244 |
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245 /* |
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246 |
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247 ## Basic tests of decomposition |
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248 %!test <60273> |
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249 %! A = reshape (1:15,5,3); |
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250 %! B = magic (3); |
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251 %! [U,V,X,C,S] = gsvd (A,B); |
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252 %! assert (size (U), [5, 5]); |
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253 %! assert (size (V), [3, 3]); |
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254 %! assert (size (X), [3, 3]); |
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255 %! assert (size (C), [5, 3]); |
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256 %! assert (C(4:5, :), zeros (2,3)); |
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257 %! assert (size (S), [3, 3]); |
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258 %! assert (U*C*X', A, 50*eps); |
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259 %! assert (V*S*X', B, 50*eps); |
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260 %! S0 = gsvd (A, B); |
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261 %! assert (size (S0), [3, 1]); |
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262 %! S1 = sort (svd (A / B)); |
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263 %! assert (S0, S1, 10*eps); |
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264 |
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265 %!test <60273> |
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266 %! A = reshape (1:15,3,5); |
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267 %! B = magic (5); |
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268 %! [U,V,X,C,S] = gsvd (A,B); |
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269 %! assert (size (U), [3, 3]); |
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270 %! assert (size (V), [5, 5]); |
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271 %! assert (size (X), [5, 5]); |
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272 %! assert (size (C), [3, 5]); |
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273 %! assert (C(:, 4:5), zeros (3,2)); |
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274 %! assert (size (S), [5, 5]); |
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275 %! assert (U*C*X', A, 120*eps); # less accurate in this orientation |
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276 %! assert (V*S*X', B, 150*eps); # for some reason. |
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277 %! S0 = gsvd (A, B); |
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278 %! assert (size (S0), [5, 1]); |
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279 %! S0 = S0(3:end); |
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280 %! S1 = sort (svd (A / B)); |
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281 %! assert (S0, S1, 20*eps); |
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282 |
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283 ## a few tests for gsvd.m |
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284 %!shared A, A0, B, B0, U, V, C, S, X, old_state, restore_state |
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285 %! old_state = randn ("state"); |
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286 %! restore_state = onCleanup (@() randn ("state", old_state)); |
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287 %! randn ("state", 40); # initialize generator to make behavior reproducible |
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288 %! A0 = randn (5, 3); |
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289 %! B0 = diag ([1 2 4]); |
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290 %! A = A0; |
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291 %! B = B0; |
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292 |
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293 ## A (5x3) and B (3x3) are full rank |
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294 %!test <48807> |
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295 %! [U, V, X, C, S] = gsvd (A, B); |
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296 %! assert (C'*C + S'*S, eye (3), 5*eps); |
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297 %! assert (U*C*X', A, 10*eps); |
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298 %! assert (V*S*X', B, 20*eps); |
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299 |
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300 ## A: 5x3 full rank, B: 3x3 rank deficient |
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301 %!test <48807> |
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302 %! B(2, 2) = 0; |
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303 %! [U, V, X, C, S] = gsvd (A, B); |
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304 %! assert (C'*C + S'*S, eye (3), 5*eps); |
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305 %! assert (U*C*X', A, 10*eps); |
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306 %! assert (V*S*X', B, 20*eps); |
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307 |
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308 ## A: 5x3 rank deficient, B: 3x3 full rank |
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309 %!test <48807> |
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310 %! B = B0; |
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311 %! A(:, 3) = 2*A(:, 1) - A(:, 2); |
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312 %! [U, V, X, C, S] = gsvd (A, B); |
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313 %! assert (C'*C + S'*S, eye (3), 5*eps); |
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314 %! assert (U*C*X', A, 10*eps); |
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315 %! assert (V*S*X', B, 20*eps); |
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316 |
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317 ## A and B are both rank deficient |
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318 ## FIXME: LAPACK seems to be completely broken for this case |
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319 %!#test <48807> |
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320 %! B(:, 3) = 2*B(:, 1) - B(:, 2); |
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321 %! [U, V, X, C, S] = gsvd (A, B); |
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322 %! assert (C'*C + S'*S, eye (3), 5*eps); |
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323 %! assert (U*C*X', A, 10*eps); |
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324 %! assert (V*S*X', B, 20*eps); |
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325 |
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326 ## A (now 3x5) and B (now 5x5) are full rank |
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327 %!test <48807> |
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328 %! A = A0.'; |
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329 %! B0 = diag ([1 2 4 8 16]); |
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330 %! B = B0; |
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331 %! [U, V, X, C, S] = gsvd (A, B); |
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332 %! assert (C'*C + S'*S, eye (5), 5*eps); |
30311
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333 %! assert (U*C*X', A, 15*eps); |
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334 %! assert (V*S*X', B, 85*eps); |
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335 |
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336 ## A: 3x5 full rank, B: 5x5 rank deficient |
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337 %!test <48807> |
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338 %! B(2, 2) = 0; |
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339 %! [U, V, X, C, S] = gsvd (A, B); |
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340 %! assert (C'*C + S'*S, eye (5), 5*eps); |
30311
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341 %! assert (U*C*X', A, 15*eps); |
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342 %! assert (V*S*X', B, 85*eps); |
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343 |
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344 ## A: 3x5 rank deficient, B: 5x5 full rank |
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345 %!test <48807> |
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346 %! B = B0; |
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347 %! A(3, :) = 2*A(1, :) - A(2, :); |
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348 %! [U, V, X, C, S] = gsvd (A, B); |
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349 %! assert (C'*C + S'*S, eye (5), 5*eps); |
30311
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350 %! assert (U*C*X', A, 15*eps); |
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351 %! assert (V*S*X', B, 85*eps); |
22572
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352 |
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353 ## A and B are both rank deficient |
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354 ## FIXME: LAPACK seems to be completely broken for this case |
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355 %!#test <48807> |
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356 %! A = A0.'; B = B0.'; |
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357 %! A(:, 3) = 2*A(:, 1) - A(:, 2); |
d65ed83dfd13
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358 %! B(:, 3) = 2*B(:, 1) - B(:, 2); |
30300
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359 %! [U, V, X, C, S] = gsvd (A, B); |
4ee01c14fccd
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360 %! assert (C'*C + S'*S, eye (3), 5*eps); |
4ee01c14fccd
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361 %! assert (U*C*X', A, 10*eps); |
4ee01c14fccd
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362 %! assert (V*S*X', B, 20*eps); |
22572
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363 |
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364 ## A: 5x3 complex full rank, B: 3x3 complex full rank |
22580
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365 %!test <48807> |
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366 %! A0 = A0 + j*randn (5, 3); |
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367 %! B0 = diag ([1 2 4]) + j*diag ([4 -2 -1]); |
d65ed83dfd13
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368 %! A = A0; |
d65ed83dfd13
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369 %! B = B0; |
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370 %! [U, V, X, C, S] = gsvd (A, B); |
4ee01c14fccd
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371 %! assert (C'*C + S'*S, eye (3), 5*eps); |
4ee01c14fccd
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372 %! assert (U*C*X', A, 10*eps); |
4ee01c14fccd
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373 %! assert (V*S*X', B, 25*eps); |
22572
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374 |
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375 ## A: 5x3 complex full rank, B: 3x3 complex rank deficient |
22580
98eeed41f372
gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807).
Rik <rik@octave.org>
parents:
22572
diff
changeset
|
376 %!test <48807> |
22572
d65ed83dfd13
gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff
changeset
|
377 %! B(2, 2) = 0; |
30300
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
378 %! [U, V, X, C, S] = gsvd (A, B); |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
379 %! assert (C'*C + S'*S, eye (3), 5*eps); |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
380 %! assert (U*C*X', A, 10*eps); |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
381 %! assert (V*S*X', B, 25*eps); |
22572
d65ed83dfd13
gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff
changeset
|
382 |
d65ed83dfd13
gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff
changeset
|
383 ## A: 5x3 complex rank deficient, B: 3x3 complex full rank |
22580
98eeed41f372
gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807).
Rik <rik@octave.org>
parents:
22572
diff
changeset
|
384 %!test <48807> |
22572
d65ed83dfd13
gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff
changeset
|
385 %! B = B0; |
d65ed83dfd13
gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff
changeset
|
386 %! A(:, 3) = 2*A(:, 1) - A(:, 2); |
30300
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
387 %! [U, V, X, C, S] = gsvd (A, B); |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
388 %! assert (C'*C + S'*S, eye (3), 5*eps); |
30311
2c7a8040f4f2
Increase tolerances on BIST tests for gsvd (bug #60273)
Rik <rik@octave.org>
parents:
30303
diff
changeset
|
389 %! assert (U*C*X', A, 15*eps); |
30300
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
390 %! assert (V*S*X', B, 25*eps); |
22572
d65ed83dfd13
gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff
changeset
|
391 |
d65ed83dfd13
gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff
changeset
|
392 ## A (5x3) and B (3x3) are both complex rank deficient |
30300
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
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diff
changeset
|
393 ## FIXME: LAPACK seems to be completely broken for this case |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
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diff
changeset
|
394 %!#test <48807> |
22572
d65ed83dfd13
gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff
changeset
|
395 %! B(:, 3) = 2*B(:, 1) - B(:, 2); |
30300
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
396 %! [U, V, X, C, S] = gsvd (A, B); |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
397 %! assert (C'*C + S'*S, eye (3), 5*eps); |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
398 %! assert (U*C*X', A, 10*eps); |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
399 %! assert (V*S*X', B, 20*eps); |
22572
d65ed83dfd13
gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff
changeset
|
400 |
d65ed83dfd13
gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff
changeset
|
401 ## A (now 3x5) complex and B (now 5x5) complex are full rank |
d65ed83dfd13
gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff
changeset
|
402 ## now, A is 3x5 |
22580
98eeed41f372
gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807).
Rik <rik@octave.org>
parents:
22572
diff
changeset
|
403 %!test <48807> |
22572
d65ed83dfd13
gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff
changeset
|
404 %! A = A0.'; |
d65ed83dfd13
gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff
changeset
|
405 %! B0 = diag ([1 2 4 8 16]) + j*diag ([-5 4 -3 2 -1]); |
d65ed83dfd13
gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff
changeset
|
406 %! B = B0; |
30300
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
407 %! [U, V, X, C, S] = gsvd (A, B); |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
408 %! assert (C'*C + S'*S, eye (5), 5*eps); |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
409 %! assert (U*C*X', A, 25*eps); |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
410 %! assert (V*S*X', B, 85*eps); |
22572
d65ed83dfd13
gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff
changeset
|
411 |
d65ed83dfd13
gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff
changeset
|
412 ## A: 3x5 complex full rank, B: 5x5 complex rank deficient |
22580
98eeed41f372
gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807).
Rik <rik@octave.org>
parents:
22572
diff
changeset
|
413 %!test <48807> |
22572
d65ed83dfd13
gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff
changeset
|
414 %! B(2, 2) = 0; |
30300
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
415 %! [U, V, X, C, S] = gsvd (A, B); |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
416 %! assert (C'*C + S'*S, eye (5), 5*eps); |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
417 %! assert (U*C*X', A, 10*eps); |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
418 %! assert (V*S*X', B, 85*eps); |
22572
d65ed83dfd13
gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff
changeset
|
419 |
d65ed83dfd13
gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff
changeset
|
420 ## A: 3x5 complex rank deficient, B: 5x5 complex full rank |
22580
98eeed41f372
gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807).
Rik <rik@octave.org>
parents:
22572
diff
changeset
|
421 %!test <48807> |
22572
d65ed83dfd13
gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff
changeset
|
422 %! B = B0; |
d65ed83dfd13
gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff
changeset
|
423 %! A(3, :) = 2*A(1, :) - A(2, :); |
30300
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
424 %! [U, V, X, C, S] = gsvd (A, B); |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
425 %! assert (C'*C + S'*S, eye (5), 5*eps); |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
426 %! assert (U*C*X', A, 10*eps); |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
427 %! assert (V*S*X', B, 85*eps); |
22572
d65ed83dfd13
gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff
changeset
|
428 |
d65ed83dfd13
gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff
changeset
|
429 ## A and B are both complex rank deficient |
30300
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
430 ## FIXME: LAPACK seems to be completely broken for this case |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
431 %!#test <48807> |
22572
d65ed83dfd13
gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff
changeset
|
432 %! A = A0.'; |
d65ed83dfd13
gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff
changeset
|
433 %! B = B0.'; |
d65ed83dfd13
gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff
changeset
|
434 %! A(:, 3) = 2*A(:, 1) - A(:, 2); |
d65ed83dfd13
gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff
changeset
|
435 %! B(:, 3) = 2*B(:, 1) - B(:, 2); |
30300
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
436 %! [U, V, X, C, S] = gsvd (A, B); |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
437 %! assert (C'*C + S'*S, eye (5), 5*eps); |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
438 %! assert (U*C*X', A, 10*eps); |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
439 %! assert (V*S*X', B, 85*eps); |
22580
98eeed41f372
gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807).
Rik <rik@octave.org>
parents:
22572
diff
changeset
|
440 |
22664
f1bb2f0bcfec
Connect C++ gsvd to float version in liboctave (bug #48807).
Rik <rik@octave.org>
parents:
22580
diff
changeset
|
441 ## Test that single inputs produce single outputs |
f1bb2f0bcfec
Connect C++ gsvd to float version in liboctave (bug #48807).
Rik <rik@octave.org>
parents:
22580
diff
changeset
|
442 %!test |
30300
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
443 %! s = gsvd (single (eye (5)), B); |
22664
f1bb2f0bcfec
Connect C++ gsvd to float version in liboctave (bug #48807).
Rik <rik@octave.org>
parents:
22580
diff
changeset
|
444 %! assert (class (s), "single"); |
30300
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
445 %! [U,V,X,C,S] = gsvd (single (eye(5)), B); |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
446 %! assert (class (U), "single"); |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
447 %! assert (class (V), "single"); |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
448 %! assert (class (X), "single"); |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
449 %! assert (class (C), "single"); |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
450 %! assert (class (S), "single"); |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
451 %! |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
452 %! s = gsvd (A, single (eye (5))); |
22664
f1bb2f0bcfec
Connect C++ gsvd to float version in liboctave (bug #48807).
Rik <rik@octave.org>
parents:
22580
diff
changeset
|
453 %! assert (class (s), "single"); |
30300
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
454 %! [U,V,X,C,S] = gsvd (A, single (eye (5))); |
22664
f1bb2f0bcfec
Connect C++ gsvd to float version in liboctave (bug #48807).
Rik <rik@octave.org>
parents:
22580
diff
changeset
|
455 %! assert (class (U), "single"); |
f1bb2f0bcfec
Connect C++ gsvd to float version in liboctave (bug #48807).
Rik <rik@octave.org>
parents:
22580
diff
changeset
|
456 %! assert (class (V), "single"); |
f1bb2f0bcfec
Connect C++ gsvd to float version in liboctave (bug #48807).
Rik <rik@octave.org>
parents:
22580
diff
changeset
|
457 %! assert (class (X), "single"); |
f1bb2f0bcfec
Connect C++ gsvd to float version in liboctave (bug #48807).
Rik <rik@octave.org>
parents:
22580
diff
changeset
|
458 %! assert (class (C), "single"); |
f1bb2f0bcfec
Connect C++ gsvd to float version in liboctave (bug #48807).
Rik <rik@octave.org>
parents:
22580
diff
changeset
|
459 %! assert (class (S), "single"); |
30300
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
460 |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
461 ## Test input validation |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
462 %!error <Invalid call> gsvd () |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
463 %!error <Invalid call> gsvd (1) |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
464 %!error <Invalid call> gsvd (1,2,3,4) |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
465 %!warning <economy-sized decomposition is not yet implemented> gsvd (1,2,0); |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
466 %!error <A and B must have the same number of columns> gsvd (1,[1, 2]) |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
467 ## Test input validation for single (real and complex) inputs. |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
468 %!error <A cannot have Inf or NaN values> gsvd (Inf, single (2)) |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
469 %!error <A cannot have Inf or NaN values> gsvd (NaN, single (2)) |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
470 %!error <B cannot have Inf or NaN values> gsvd (single (1), Inf) |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
471 %!error <B cannot have Inf or NaN values> gsvd (single (1), NaN) |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
472 %!error <A must be a real or complex matrix> gsvd ({1}, single (2i)) |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
473 %!error <B must be a real or complex matrix> gsvd (single (i), {2}) |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
474 %!error <A cannot have Inf or NaN values> gsvd (Inf, single (2i)) |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
475 %!error <A cannot have Inf or NaN values> gsvd (NaN, single (2i)) |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
476 %!error <B cannot have Inf or NaN values> gsvd (single (i), Inf) |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
477 %!error <B cannot have Inf or NaN values> gsvd (single (i), NaN) |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
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478 ## Test input validation for single, but not real or complex, inputs. |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
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479 %!error <A and B must be real or complex matrices> gsvd ({1}, single (2)) |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
480 %!error <A and B must be real or complex matrices> gsvd (single (1), {2}) |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
481 ## Test input validation for double (real and complex) inputs. |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
482 %!error <A cannot have Inf or NaN values> gsvd (Inf, 2) |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
483 %!error <A cannot have Inf or NaN values> gsvd (NaN, 2) |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
484 %!error <B cannot have Inf or NaN values> gsvd (1, Inf) |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
485 %!error <B cannot have Inf or NaN values> gsvd (1, NaN) |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
486 %!error <A must be a real or complex matrix> gsvd ({1}, 2i) |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
487 %!error <B must be a real or complex matrix> gsvd (i, {2}) |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
488 %!error <A cannot have Inf or NaN values> gsvd (Inf, 2i) |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
489 %!error <A cannot have Inf or NaN values> gsvd (NaN, 2i) |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
490 %!error <B cannot have Inf or NaN values> gsvd (i, Inf) |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
491 %!error <B cannot have Inf or NaN values> gsvd (i, NaN) |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
492 ## Test input validation for double, but not real or complex, inputs. |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
493 %!error <A and B must be real or complex matrices> gsvd ({1}, double (2)) |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
494 %!error <A and B must be real or complex matrices> gsvd (double (1), {2}) |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
495 ## Test input validation in liboctave/numeric/gsvd.cc |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
496 %!error <A and B cannot be empty matrices> gsvd (zeros (0,1), 1) |
4ee01c14fccd
Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents:
29961
diff
changeset
|
497 %!error <A and B cannot be empty matrices> gsvd (1, zeros (0,1)) |
22664
f1bb2f0bcfec
Connect C++ gsvd to float version in liboctave (bug #48807).
Rik <rik@octave.org>
parents:
22580
diff
changeset
|
498 |
22572
d65ed83dfd13
gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff
changeset
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499 */ |
29958
32c3a5805893
move DEFUN and DEFMETHOD functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents:
29359
diff
changeset
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500 |
31605
e88a07dec498
maint: Use macros to begin/end C++ namespaces.
Rik <rik@octave.org>
parents:
30564
diff
changeset
|
501 OCTAVE_END_NAMESPACE(octave) |