annotate libinterp/corefcn/gsvd.cc @ 31607:aac27ad79be6 stable

maint: Re-indent code after switch to using namespace macros. * build-env.h, build-env.in.cc, Cell.h, __betainc__.cc, __eigs__.cc, __ftp__.cc, __ichol__.cc, __ilu__.cc, __isprimelarge__.cc, __magick_read__.cc, __pchip_deriv__.cc, amd.cc, base-text-renderer.cc, base-text-renderer.h, besselj.cc, bitfcns.cc, bsxfun.cc, c-file-ptr-stream.h, call-stack.cc, call-stack.h, ccolamd.cc, cellfun.cc, chol.cc, colamd.cc, dasrt.cc, data.cc, debug.cc, defaults.cc, defaults.h, det.cc, display.cc, display.h, dlmread.cc, dynamic-ld.cc, dynamic-ld.h, 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, file-io.cc, filter.cc, find.cc, ft-text-renderer.cc, ft-text-renderer.h, gcd.cc, gl-render.cc, gl-render.h, gl2ps-print.cc, gl2ps-print.h, graphics-toolkit.cc, graphics-toolkit.h, graphics.cc, gsvd.cc, gtk-manager.cc, gtk-manager.h, help.cc, help.h, 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, latex-text-renderer.cc, latex-text-renderer.h, load-path.cc, load-path.h, load-save.cc, load-save.h, lookup.cc, ls-hdf5.cc, ls-mat4.cc, ls-mat5.cc, lsode.cc, lu.cc, mappers.cc, matrix_type.cc, max.cc, mex.cc, mexproto.h, mxarray.h, mxtypes.in.h, oct-errno.in.cc, oct-hdf5-types.cc, oct-hist.cc, oct-hist.h, oct-map.cc, oct-map.h, oct-opengl.h, oct-prcstrm.h, oct-process.cc, oct-process.h, oct-stdstrm.h, oct-stream.cc, oct-stream.h, oct-strstrm.h, octave-default-image.h, ordqz.cc, ordschur.cc, pager.cc, pager.h, pinv.cc, pow2.cc, pr-output.cc, psi.cc, qr.cc, quadcc.cc, rand.cc, regexp.cc, settings.cc, settings.h, sighandlers.cc, sighandlers.h, sparse-xpow.cc, sqrtm.cc, stack-frame.cc, stack-frame.h, stream-euler.cc, strfns.cc, svd.cc, syminfo.cc, syminfo.h, symrcm.cc, symrec.cc, symrec.h, symscope.cc, symscope.h, symtab.cc, symtab.h, sysdep.cc, sysdep.h, text-engine.cc, text-engine.h, text-renderer.cc, text-renderer.h, time.cc, toplev.cc, typecast.cc, url-handle-manager.cc, url-handle-manager.h, urlwrite.cc, utils.cc, utils.h, variables.cc, variables.h, xdiv.cc, __delaunayn__.cc, __init_fltk__.cc, __init_gnuplot__.cc, __ode15__.cc, __voronoi__.cc, audioread.cc, convhulln.cc, gzip.cc, 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-diag.cc, ov-base-int.cc, ov-base-mat.cc, ov-base-mat.h, ov-base-scalar.cc, ov-base.cc, ov-base.h, ov-bool-mat.cc, ov-bool-mat.h, ov-bool-sparse.cc, ov-bool.cc, ov-builtin.h, ov-cell.cc, ov-ch-mat.cc, ov-class.cc, ov-class.h, ov-classdef.cc, ov-classdef.h, ov-complex.cc, ov-cx-diag.cc, ov-cx-mat.cc, ov-cx-sparse.cc, ov-dld-fcn.cc, ov-dld-fcn.h, ov-fcn-handle.cc, ov-fcn-handle.h, ov-fcn.h, 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-flt-re-mat.h, ov-intx.h, ov-java.cc, ov-lazy-idx.cc, ov-legacy-range.cc, ov-magic-int.cc, ov-mex-fcn.cc, ov-mex-fcn.h, ov-null-mat.cc, ov-perm.cc, ov-range.cc, ov-re-diag.cc, ov-re-mat.cc, ov-re-mat.h, ov-re-sparse.cc, ov-scalar.cc, ov-str-mat.cc, ov-struct.cc, ov-typeinfo.cc, ov-typeinfo.h, ov-usr-fcn.cc, ov-usr-fcn.h, ov.cc, ov.h, ovl.h, octave.cc, octave.h, op-b-sbm.cc, op-bm-sbm.cc, op-cs-scm.cc, op-fm-fcm.cc, op-fs-fcm.cc, op-s-scm.cc, op-scm-cs.cc, op-scm-s.cc, op-sm-cs.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, oct-lvalue.cc, oct-lvalue.h, 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-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: Re-indent code after switch to using namespace macros.
author Rik <rik@octave.org>
date Thu, 01 Dec 2022 18:02:15 -0800
parents e88a07dec498
children 597f3ee61a48
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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 =
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200 argA.xfloat_complex_matrix_value ("gsvd: A must be a real or complex matrix");
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201 FloatComplexMatrix ctmpB =
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202 argB.xfloat_complex_matrix_value ("gsvd: B must be a real or complex matrix");
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203
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204 if (ctmpA.any_element_is_inf_or_nan ())
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205 error ("gsvd: A cannot have Inf or NaN values");
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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parents: 29961
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206 if (ctmpB.any_element_is_inf_or_nan ())
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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parents: 29961
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207 error ("gsvd: B cannot have Inf or NaN values");
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
208
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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diff changeset
209 retval = do_gsvd (ctmpA, ctmpB, nargout, nargin, true);
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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diff changeset
210 }
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
211 else
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
212 error ("gsvd: A and B must be real or complex matrices");
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parents:
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213 }
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
214 else
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
215 {
30300
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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diff changeset
216 if (argA.isreal () && argB.isreal ())
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217 {
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218 Matrix tmpA = argA.xmatrix_value ("gsvd: A must be a real or complex matrix");
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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219 Matrix tmpB = argB.xmatrix_value ("gsvd: B must be a real or complex matrix");
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220
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4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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diff changeset
221 if (tmpA.any_element_is_inf_or_nan ())
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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222 error ("gsvd: A cannot have Inf or NaN values");
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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diff changeset
223 if (tmpB.any_element_is_inf_or_nan ())
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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diff changeset
224 error ("gsvd: B cannot have Inf or NaN values");
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parents:
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225
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226 retval = do_gsvd (tmpA, tmpB, nargout, nargin);
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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227 }
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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228 else if (argA.iscomplex () || argB.iscomplex ())
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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229 {
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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230 ComplexMatrix ctmpA = argA.xcomplex_matrix_value ("gsvd: A must be a real or complex matrix");
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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231 ComplexMatrix ctmpB = argB.xcomplex_matrix_value ("gsvd: B must be a real or complex matrix");
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parents:
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232
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233 if (ctmpA.any_element_is_inf_or_nan ())
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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parents: 29961
diff changeset
234 error ("gsvd: A cannot have Inf or NaN values");
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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parents: 29961
diff changeset
235 if (ctmpB.any_element_is_inf_or_nan ())
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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diff changeset
236 error ("gsvd: B cannot have Inf or NaN values");
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parents:
diff changeset
237
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238 retval = do_gsvd (ctmpA, ctmpB, nargout, nargin);
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239 }
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
240 else
30300
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diff changeset
241 error ("gsvd: A and B must be real or complex matrices");
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parents:
diff changeset
242 }
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
243
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
244 return retval;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
245 }
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
246
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
247 /*
22580
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248
30300
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249 ## Basic tests of decomposition
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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250 %!test <60273>
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251 %! A = reshape (1:15,5,3);
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807).
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252 %! B = magic (3);
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807).
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253 %! [U,V,X,C,S] = gsvd (A,B);
30300
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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254 %! assert (size (U), [5, 5]);
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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parents: 29961
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255 %! assert (size (V), [3, 3]);
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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parents: 29961
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256 %! assert (size (X), [3, 3]);
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
257 %! assert (size (C), [5, 3]);
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
258 %! assert (C(4:5, :), zeros (2,3));
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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259 %! assert (size (S), [3, 3]);
22580
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parents: 22572
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260 %! assert (U*C*X', A, 50*eps);
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807).
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parents: 22572
diff changeset
261 %! assert (V*S*X', B, 50*eps);
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807).
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parents: 22572
diff changeset
262 %! S0 = gsvd (A, B);
30300
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Rik <rik@octave.org>
parents: 29961
diff changeset
263 %! assert (size (S0), [3, 1]);
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
264 %! S1 = sort (svd (A / B));
22580
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parents: 22572
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265 %! assert (S0, S1, 10*eps);
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807).
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diff changeset
266
30300
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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267 %!test <60273>
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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268 %! A = reshape (1:15,3,5);
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
269 %! B = magic (5);
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
270 %! [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
271 %! assert (size (U), [3, 3]);
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
272 %! assert (size (V), [5, 5]);
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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parents: 29961
diff changeset
273 %! assert (size (X), [5, 5]);
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
274 %! assert (size (C), [3, 5]);
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
275 %! assert (C(:, 4:5), zeros (3,2));
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
276 %! assert (size (S), [5, 5]);
30311
2c7a8040f4f2 Increase tolerances on BIST tests for gsvd (bug #60273)
Rik <rik@octave.org>
parents: 30303
diff changeset
277 %! assert (U*C*X', A, 120*eps); # less accurate in this orientation
2c7a8040f4f2 Increase tolerances on BIST tests for gsvd (bug #60273)
Rik <rik@octave.org>
parents: 30303
diff changeset
278 %! assert (V*S*X', B, 150*eps); # for some reason.
30300
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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diff changeset
279 %! S0 = gsvd (A, B);
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
280 %! assert (size (S0), [5, 1]);
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
281 %! S0 = S0(3:end);
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
282 %! S1 = sort (svd (A / B));
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
283 %! assert (S0, S1, 20*eps);
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
284
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diff changeset
285 ## a few tests for gsvd.m
30300
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
286 %!shared A, A0, B, B0, U, V, C, S, X, old_state, restore_state
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
287 %! old_state = randn ("state");
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
288 %! restore_state = onCleanup (@() randn ("state", old_state));
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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diff changeset
289 %! randn ("state", 40); # initialize generator to make behavior reproducible
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290 %! A0 = randn (5, 3);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
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parents:
diff changeset
291 %! B0 = diag ([1 2 4]);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
292 %! A = A0;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
293 %! B = B0;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
294
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
295 ## A (5x3) and B (3x3) are full rank
22580
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807).
Rik <rik@octave.org>
parents: 22572
diff changeset
296 %!test <48807>
30300
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
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parents: 29961
diff changeset
297 %! [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
298 %! 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
299 %! 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
300 %! assert (V*S*X', B, 20*eps);
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Carnë Draug <carandraug@octave.org>
parents:
diff changeset
301
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
302 ## A: 5x3 full rank, B: 3x3 rank deficient
22580
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Rik <rik@octave.org>
parents: 22572
diff changeset
303 %!test <48807>
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304 %! B(2, 2) = 0;
30300
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
305 %! [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
306 %! 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
307 %! 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
308 %! assert (V*S*X', B, 20*eps);
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Carnë Draug <carandraug@octave.org>
parents:
diff changeset
309
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
310 ## A: 5x3 rank deficient, B: 3x3 full rank
22580
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Rik <rik@octave.org>
parents: 22572
diff changeset
311 %!test <48807>
22572
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Carnë Draug <carandraug@octave.org>
parents:
diff changeset
312 %! B = B0;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
313 %! 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
314 %! [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
315 %! 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
316 %! 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
317 %! assert (V*S*X', B, 20*eps);
22572
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Carnë Draug <carandraug@octave.org>
parents:
diff changeset
318
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
319 ## A and B are both rank deficient
30300
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
320 ## 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
321 %!#test <48807>
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parents:
diff changeset
322 %! 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
323 %! [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
324 %! 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
325 %! 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
326 %! assert (V*S*X', B, 20*eps);
22572
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
327
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
328 ## A (now 3x5) and B (now 5x5) are full rank
22580
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807).
Rik <rik@octave.org>
parents: 22572
diff changeset
329 %!test <48807>
22572
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
330 %! A = A0.';
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
331 %! B0 = diag ([1 2 4 8 16]);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
332 %! B = B0;
30300
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
333 %! [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
334 %! assert (C'*C + S'*S, eye (5), 5*eps);
30311
2c7a8040f4f2 Increase tolerances on BIST tests for gsvd (bug #60273)
Rik <rik@octave.org>
parents: 30303
diff changeset
335 %! assert (U*C*X', A, 15*eps);
2c7a8040f4f2 Increase tolerances on BIST tests for gsvd (bug #60273)
Rik <rik@octave.org>
parents: 30303
diff changeset
336 %! assert (V*S*X', B, 85*eps);
22572
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
337
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
338 ## A: 3x5 full rank, B: 5x5 rank deficient
22580
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807).
Rik <rik@octave.org>
parents: 22572
diff changeset
339 %!test <48807>
22572
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
340 %! B(2, 2) = 0;
30300
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
341 %! [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
342 %! assert (C'*C + S'*S, eye (5), 5*eps);
30311
2c7a8040f4f2 Increase tolerances on BIST tests for gsvd (bug #60273)
Rik <rik@octave.org>
parents: 30303
diff changeset
343 %! assert (U*C*X', A, 15*eps);
2c7a8040f4f2 Increase tolerances on BIST tests for gsvd (bug #60273)
Rik <rik@octave.org>
parents: 30303
diff changeset
344 %! assert (V*S*X', B, 85*eps);
22572
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
345
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
346 ## A: 3x5 rank deficient, B: 5x5 full rank
22580
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807).
Rik <rik@octave.org>
parents: 22572
diff changeset
347 %!test <48807>
22572
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
348 %! B = B0;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
349 %! 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
350 %! [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
351 %! assert (C'*C + S'*S, eye (5), 5*eps);
30311
2c7a8040f4f2 Increase tolerances on BIST tests for gsvd (bug #60273)
Rik <rik@octave.org>
parents: 30303
diff changeset
352 %! assert (U*C*X', A, 15*eps);
2c7a8040f4f2 Increase tolerances on BIST tests for gsvd (bug #60273)
Rik <rik@octave.org>
parents: 30303
diff changeset
353 %! assert (V*S*X', B, 85*eps);
22572
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
354
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
355 ## A and B are both rank deficient
30300
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
356 ## 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
357 %!#test <48807>
22572
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
358 %! A = A0.'; B = B0.';
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
359 %! A(:, 3) = 2*A(:, 1) - A(:, 2);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
360 %! 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
361 %! [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
362 %! 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
363 %! 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
364 %! assert (V*S*X', B, 20*eps);
22572
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
365
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
366 ## A: 5x3 complex full rank, 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
367 %!test <48807>
31607
aac27ad79be6 maint: Re-indent code after switch to using namespace macros.
Rik <rik@octave.org>
parents: 31605
diff changeset
368 %! A0 = A0 + j* randn (5, 3);
aac27ad79be6 maint: Re-indent code after switch to using namespace macros.
Rik <rik@octave.org>
parents: 31605
diff changeset
369 %! B0 = diag ([1 2 4]) + j* diag ([4 -2 -1]);
22572
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
370 %! A = A0;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
371 %! B = B0;
30300
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
372 %! [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
373 %! 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
374 %! 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
375 %! assert (V*S*X', B, 25*eps);
22572
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
376
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
377 ## 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
378 %!test <48807>
22572
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
379 %! B(2, 2) = 0;
30300
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
380 %! [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
381 %! 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
382 %! 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
383 %! assert (V*S*X', B, 25*eps);
22572
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
384
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
385 ## 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
386 %!test <48807>
22572
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
387 %! B = B0;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
388 %! 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
389 %! [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
390 %! 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
391 %! 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
392 %! assert (V*S*X', B, 25*eps);
22572
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
393
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
394 ## 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: 29961
diff changeset
395 ## 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
396 %!#test <48807>
22572
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
397 %! 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
398 %! [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
399 %! 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
400 %! 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
401 %! assert (V*S*X', B, 20*eps);
22572
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
402
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
403 ## 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
404 ## 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
405 %!test <48807>
22572
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
406 %! A = A0.';
31607
aac27ad79be6 maint: Re-indent code after switch to using namespace macros.
Rik <rik@octave.org>
parents: 31605
diff changeset
407 %! B0 = diag ([1 2 4 8 16]) + j* diag ([-5 4 -3 2 -1]);
22572
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
408 %! B = B0;
30300
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
409 %! [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
410 %! 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
411 %! 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
412 %! assert (V*S*X', B, 85*eps);
22572
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
413
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
414 ## 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
415 %!test <48807>
22572
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
416 %! B(2, 2) = 0;
30300
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
417 %! [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
418 %! 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
419 %! 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
420 %! assert (V*S*X', B, 85*eps);
22572
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
421
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
422 ## 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
423 %!test <48807>
22572
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
424 %! B = B0;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
425 %! 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
426 %! [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
427 %! 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
428 %! 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
429 %! assert (V*S*X', B, 85*eps);
22572
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
430
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
431 ## 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
432 ## 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
433 %!#test <48807>
22572
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
434 %! A = A0.';
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
435 %! B = B0.';
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
436 %! A(:, 3) = 2*A(:, 1) - A(:, 2);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
437 %! 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
438 %! [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
439 %! 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
440 %! 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
441 %! 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
442
22664
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807).
Rik <rik@octave.org>
parents: 22580
diff changeset
443 ## 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
444 %!test
30300
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
445 %! 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
446 %! assert (class (s), "single");
30300
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
447 %! [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
448 %! assert (class (U), "single");
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
449 %! assert (class (V), "single");
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
450 %! assert (class (X), "single");
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
451 %! assert (class (C), "single");
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
452 %! assert (class (S), "single");
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
453 %!
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
454 %! 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 (s), "single");
30300
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
456 %! [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
457 %! assert (class (U), "single");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807).
Rik <rik@octave.org>
parents: 22580
diff changeset
458 %! assert (class (V), "single");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807).
Rik <rik@octave.org>
parents: 22580
diff changeset
459 %! assert (class (X), "single");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807).
Rik <rik@octave.org>
parents: 22580
diff changeset
460 %! assert (class (C), "single");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807).
Rik <rik@octave.org>
parents: 22580
diff changeset
461 %! assert (class (S), "single");
30300
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
462
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
463 ## Test input validation
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
464 %!error <Invalid call> gsvd ()
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
465 %!error <Invalid call> gsvd (1)
4ee01c14fccd Rewrite gsvd function and return *correct* 3rd output (bug #60273).
Rik <rik@octave.org>
parents: 29961
diff changeset
466 %!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
467 %!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
468 %!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
469 ## 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
470 %!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
471 %!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
472 %!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
473 %!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
474 %!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
475 %!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
476 %!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
477 %!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
478 %!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
479 %!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
480 ## 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
481 %!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
482 %!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
483 ## 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
484 %!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
485 %!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
486 %!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
487 %!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
488 %!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
489 %!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
490 %!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
491 %!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
492 %!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
493 %!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
494 ## 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
495 %!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
496 %!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
497 ## 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
498 %!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
499 %!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
500
22572
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1.
Carnë Draug <carandraug@octave.org>
parents:
diff changeset
501 */
29958
32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 29359
diff changeset
502
31605
e88a07dec498 maint: Use macros to begin/end C++ namespaces.
Rik <rik@octave.org>
parents: 30564
diff changeset
503 OCTAVE_END_NAMESPACE(octave)