octave: libinterp/corefcn/gsvd.cc annotate

annotate libinterp/corefcn/gsvd.cc @ 29958:32c3a5805893

move DEFUN and DEFMETHOD functions inside octave namespace * mk-opts.pl: Surround emitted function definitions with OCTAVE_NAMESPACE_BEGIN and OCTAVE_NAMESPACE_END tags. * mk-builtins.pl: Surround emitted function declarations with OCTAVE_NAMESPACE_BEGIN and OCTAVE_NAMESPACE_END tags. Emit deprecated global inline functions. * __betainc__.cc, __contourc__.cc, __dsearchn__.cc, __eigs__.cc, __expint__.cc, __ftp__.cc, __gammainc__.cc, __ichol__.cc, __ilu__.cc, __lin_interpn__.cc, __magick_read__.cc, __pchip_deriv__.cc, __qp__.cc, amd.cc, balance.cc, besselj.cc, bitfcns.cc, bsxfun.cc, call-stack.cc, ccolamd.cc, cellfun.cc, chol.cc, colamd.cc, colloc.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc, debug.cc, defaults.cc, defun.cc, det.cc, dirfns.cc, display.cc, dlmread.cc, dmperm.cc, dot.cc, eig.cc, ellipj.cc, environment.cc, error.cc, event-manager.cc, fcn-info.cc, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc, gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc, graphics.cc, gsvd.cc, hash.cc, help.cc, hess.cc, hex2num.cc, input.cc, interpreter.cc, inv.cc, jsondecode.cc, jsonencode.cc, kron.cc, load-path.cc, load-save.cc, lookup.cc, ls-oct-text.cc, lsode.cc, lu.cc, mappers.cc, matrix_type.cc, max.cc, mgorth.cc, nproc.cc, oct-hist.cc, ordqz.cc, ordschur.cc, pager.cc, pinv.cc, pr-flt-fmt.cc, pr-output.cc, psi.cc, qr.cc, quad.cc, quadcc.cc, qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, settings.cc, sighandlers.cc, sparse.cc, spparms.cc, sqrtm.cc, stream-euler.cc, strfind.cc, strfns.cc, sub2ind.cc, svd.cc, sylvester.cc, symbfact.cc, symrcm.cc, symtab.cc, syscalls.cc, sysdep.cc, time.cc, toplev.cc, tril.cc, tsearch.cc, typecast.cc, urlwrite.cc, utils.cc, variables.cc, __delaunayn__.cc, __fltk_uigetfile__.cc, __glpk__.cc, __init_gnuplot__.cc, __ode15__.cc, __voronoi__.cc, audiodevinfo.cc, audioread.cc, convhulln.cc, fftw.cc, gzip.cc, ov-base.cc, ov-bool-mat.cc, ov-cell.cc, ov-class.cc, ov-classdef.cc, ov-fcn-handle.cc, ov-java.cc, ov-null-mat.cc, ov-oncleanup.cc, ov-struct.cc, ov-typeinfo.cc, ov-usr-fcn.cc, ov.cc, octave.cc, lex.ll, oct-parse.yy, profiler.cc, pt-eval.cc: Surround DEFUN and DEFMETHOD function defnitions with OCTAVE_NAMESPACE_BEGIN and OCTAVE_NAMESPACE_END tags.

author	John W. Eaton <jwe@octave.org>
date	Fri, 13 Aug 2021 21:53:51 -0400
parents	7854d5752dd2
children	7d6709900da7

rev	line source
27923 bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	1 ////////////////////////////////////////////////////////////////////////
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	2 //
29358 0a5b15007766 update Octave Project Developers copyright for the new year John W. Eaton <jwe@octave.org> parents: 27923 diff changeset	3 // Copyright (C) 1997-2021 The Octave Project Developers
27923 bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	4 //
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	5 // See the file COPYRIGHT.md in the top-level directory of this
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	6 // distribution or <https://octave.org/copyright/>.
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	7 //
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	8 // This file is part of Octave.
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	9 //
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	10 // Octave is free software: you can redistribute it and/or modify it
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	11 // under the terms of the GNU General Public License as published by
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	12 // the Free Software Foundation, either version 3 of the License, or
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	13 // (at your option) any later version.
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	14 //
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	15 // Octave is distributed in the hope that it will be useful, but
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	16 // WITHOUT ANY WARRANTY; without even the implied warranty of
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	18 // GNU General Public License for more details.
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	19 //
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	20 // You should have received a copy of the GNU General Public License
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	21 // along with Octave; see the file COPYING. If not, see
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	22 // <https://www.gnu.org/licenses/>.
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	23 //
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	24 ////////////////////////////////////////////////////////////////////////
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	25
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	26 #ifdef HAVE_CONFIG_H
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	27 # include <config.h>
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	28 #endif
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	29
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	30 #include "dMatrix.h"
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	31 #include "CMatrix.h"
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	32 #include "dDiagMatrix.h"
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	33 #include "gsvd.h"
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	34
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	35 #include "defun.h"
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	36 #include "defun-int.h"
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	37 #include "error.h"
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	38 #include "errwarn.h"
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	39 #include "utils.h"
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	40 #include "ovl.h"
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	41 #include "ov.h"
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	42
29958 32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace John W. Eaton <jwe@octave.org> parents: 29359 diff changeset	43 OCTAVE_NAMESPACE_BEGIN
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	44
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	45 template <typename T>
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	46 static typename octave::math::gsvd<T>::Type
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	47 gsvd_type (int nargout)
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	48 {
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	49 return ((nargout == 0 \|\| nargout == 1)
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	50 ? octave::math::gsvd<T>::Type::sigma_only
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	51 : (nargout > 5) ? octave::math::gsvd<T>::Type::std
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	52 : octave::math::gsvd<T>::Type::economy);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	53 }
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	54
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	55 // Named like this to avoid conflicts with the gsvd class.
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	56 template <typename T>
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	57 static octave_value_list
22664 f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	58 do_gsvd (const T& A, const T& B, const octave_idx_type nargout,
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	59 bool is_single = false)
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	60 {
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	61 octave::math::gsvd<T> result (A, B, gsvd_type<T> (nargout));
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	62
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	63 octave_value_list retval (nargout);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	64 if (nargout < 2)
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	65 {
22664 f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	66 if (is_single)
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	67 {
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	68 FloatDiagMatrix sigA = result.singular_values_A ();
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	69 FloatDiagMatrix sigB = result.singular_values_B ();
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	70 for (int i = sigA.rows () - 1; i >= 0; i--)
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	71 sigA.dgxelem(i) /= sigB.dgxelem(i);
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	72 retval(0) = sigA.diag ();
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	73 }
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	74 else
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	75 {
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	76 DiagMatrix sigA = result.singular_values_A ();
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	77 DiagMatrix sigB = result.singular_values_B ();
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	78 for (int i = sigA.rows () - 1; i >= 0; i--)
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	79 sigA.dgxelem(i) /= sigB.dgxelem(i);
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	80 retval(0) = sigA.diag ();
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	81 }
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	82 }
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	83 else
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	84 {
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	85 retval(0) = result.left_singular_matrix_A ();
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	86 retval(1) = result.left_singular_matrix_B ();
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	87 if (nargout > 2)
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	88 retval(2) = result.right_singular_matrix ();
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	89 if (nargout > 3)
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	90 retval(3) = result.singular_values_A ();
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	91 if (nargout > 4)
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	92 retval(4) = result.singular_values_B ();
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	93 if (nargout > 5)
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	94 retval(5) = result.R_matrix ();
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	95 }
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	96 return retval;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	97 }
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	98
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	99 DEFUN (gsvd, args, nargout,
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	100 doc: /* -- texinfo --
22580 98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	101 @deftypefn {} {@var{S} =} gsvd (@var{A}, @var{B})
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	102 @deftypefnx {} {[@var{U}, @var{V}, @var{X}, @var{C}, @var{S}] =} gsvd (@var{A}, @var{B})
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	103 @deftypefnx {} {[@var{U}, @var{V}, @var{X}, @var{C}, @var{S}] =} gsvd (@var{A}, @var{B}, 0)
25106 d7ad543255c5 doc: Shorten very long first sentences of docstrings (bug #53388). Rik <rik@octave.org> parents: 25054 diff changeset	104 Compute the generalized singular value decomposition of (@var{A}, @var{B}).
d7ad543255c5 doc: Shorten very long first sentences of docstrings (bug #53388). Rik <rik@octave.org> parents: 25054 diff changeset	105
d7ad543255c5 doc: Shorten very long first sentences of docstrings (bug #53388). Rik <rik@octave.org> parents: 25054 diff changeset	106 The generalized singular value decomposition is defined by the following
d7ad543255c5 doc: Shorten very long first sentences of docstrings (bug #53388). Rik <rik@octave.org> parents: 25054 diff changeset	107 relations:
22580 98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	108
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	109 @tex
22580 98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	110 $$ A = U C X^\dagger $$
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	111 $$ B = V S X^\dagger $$
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	112 $$ C^\dagger C + S^\dagger S = eye (columns (A)) $$
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	113 @end tex
22580 98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	114 @ifnottex
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	115
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	116 @example
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	117 @group
22580 98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	118 A = UCX'
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	119 B = VSX'
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	120 C'C + S'S = eye (columns (A))
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	121 @end group
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	122 @end example
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	123
22580 98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	124 @end ifnottex
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	125
23565 3a730821e4a2 doc: Peridoc grammarcheck of documentation. Rik <rik@octave.org> parents: 23221 diff changeset	126 The function @code{gsvd} normally returns just the vector of generalized
3a730821e4a2 doc: Peridoc grammarcheck of documentation. Rik <rik@octave.org> parents: 23221 diff changeset	127 singular values
22580 98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	128 @tex
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	129 $$ \sqrt{{{diag (C^\dagger C)} \over {diag (S^\dagger S)}}} $$
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	130 @end tex
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	131 @ifnottex
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	132 @code{sqrt (diag (C'C) ./ diag (S'S))}.
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	133 @end ifnottex
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	134 If asked for five return values, it also computes
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	135 @tex
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	136 $U$, $V$, $X$, and $C$.
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	137 @end tex
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	138 @ifnottex
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	139 U, V, X, and C.
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	140 @end ifnottex
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	141
22580 98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	142 If the optional third input is present, @code{gsvd} constructs the
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	143 "economy-sized" decomposition where the number of columns of @var{U}, @var{V}
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	144 and the number of rows of @var{C}, @var{S} is less than or equal to the number
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	145 of columns of @var{A}. This option is not yet implemented.
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	146
22580 98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	147 Programming Note: the code is a wrapper to the corresponding @sc{lapack} dggsvd
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	148 and zggsvd routines.
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	149
22580 98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	150 @seealso{svd}
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	151 @end deftypefn */)
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	152 {
22580 98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	153 int nargin = args.length ();
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	154
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	155 if (nargin < 2 \|\| nargin > 3)
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	156 print_usage ();
22580 98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	157 else if (nargin == 3)
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	158 warning ("gsvd: economy-sized decomposition is not yet implemented, returning full decomposition");
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	159
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	160 octave_value_list retval;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	161
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	162 octave_value argA = args(0);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	163 octave_value argB = args(1);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	164
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	165 octave_idx_type nr = argA.rows ();
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	166 octave_idx_type nc = argA.columns ();
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	167
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	168 octave_idx_type np = argB.columns ();
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	169
22580 98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	170 // FIXME: This "special" case should be handled in the gsvd class, not here
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	171 if (nr == 0 \|\| nc == 0)
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	172 {
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	173 retval = octave_value_list (nargout);
22580 98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	174 if (nargout < 2) // S = gsvd (A, B)
22664 f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	175 {
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	176 if (argA.is_single_type () \|\| argB.is_single_type ())
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	177 retval(0) = FloatMatrix (0, 1);
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	178 else
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	179 retval(0) = Matrix (0, 1);
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	180 }
22580 98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	181 else // [U, V, X, C, S, R] = gsvd (A, B)
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	182 {
22664 f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	183 if (argA.is_single_type () \|\| argB.is_single_type ())
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	184 {
25646 4d565baa475e move libinterp/utils functions inside octave namespace John W. Eaton <jwe@octave.org> parents: 25106 diff changeset	185 retval(0) = octave::float_identity_matrix (nc, nc);
4d565baa475e move libinterp/utils functions inside octave namespace John W. Eaton <jwe@octave.org> parents: 25106 diff changeset	186 retval(1) = octave::float_identity_matrix (nc, nc);
22664 f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	187 if (nargout > 2)
25646 4d565baa475e move libinterp/utils functions inside octave namespace John W. Eaton <jwe@octave.org> parents: 25106 diff changeset	188 retval(2) = octave::float_identity_matrix (nr, nr);
22664 f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	189 if (nargout > 3)
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	190 retval(3) = FloatMatrix (nr, nc);
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	191 if (nargout > 4)
25646 4d565baa475e move libinterp/utils functions inside octave namespace John W. Eaton <jwe@octave.org> parents: 25106 diff changeset	192 retval(4) = octave::float_identity_matrix (nr, nr);
22664 f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	193 if (nargout > 5)
25646 4d565baa475e move libinterp/utils functions inside octave namespace John W. Eaton <jwe@octave.org> parents: 25106 diff changeset	194 retval(5) = octave::float_identity_matrix (nr, nr);
22664 f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	195 }
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	196 else
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	197 {
25646 4d565baa475e move libinterp/utils functions inside octave namespace John W. Eaton <jwe@octave.org> parents: 25106 diff changeset	198 retval(0) = octave::identity_matrix (nc, nc);
4d565baa475e move libinterp/utils functions inside octave namespace John W. Eaton <jwe@octave.org> parents: 25106 diff changeset	199 retval(1) = octave::identity_matrix (nc, nc);
22664 f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	200 if (nargout > 2)
25646 4d565baa475e move libinterp/utils functions inside octave namespace John W. Eaton <jwe@octave.org> parents: 25106 diff changeset	201 retval(2) = octave::identity_matrix (nr, nr);
22664 f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	202 if (nargout > 3)
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	203 retval(3) = Matrix (nr, nc);
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	204 if (nargout > 4)
25646 4d565baa475e move libinterp/utils functions inside octave namespace John W. Eaton <jwe@octave.org> parents: 25106 diff changeset	205 retval(4) = octave::identity_matrix (nr, nr);
22664 f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	206 if (nargout > 5)
25646 4d565baa475e move libinterp/utils functions inside octave namespace John W. Eaton <jwe@octave.org> parents: 25106 diff changeset	207 retval(5) = octave::identity_matrix (nr, nr);
22664 f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	208 }
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	209 }
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	210 }
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	211 else
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	212 {
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	213 if (nc != np)
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	214 print_usage ();
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	215
22664 f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	216 if (argA.is_single_type () \|\| argB.is_single_type ())
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	217 {
23582 0cc2011d800e maint: Deprecate is_real_type and replace with isreal. Rik <rik@octave.org> parents: 23581 diff changeset	218 if (argA.isreal () && argB.isreal ())
22664 f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	219 {
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	220 FloatMatrix tmpA = argA.xfloat_matrix_value ("gsvd: A must be a real or complex matrix");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	221 FloatMatrix tmpB = argB.xfloat_matrix_value ("gsvd: B must be a real or complex matrix");
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	222
22664 f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	223 if (tmpA.any_element_is_inf_or_nan ())
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	224 error ("gsvd: A cannot have Inf or NaN values");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	225 if (tmpB.any_element_is_inf_or_nan ())
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	226 error ("gsvd: B cannot have Inf or NaN values");
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	227
22664 f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	228 retval = do_gsvd (tmpA, tmpB, nargout, true);
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	229 }
23581 c3075ae020e1 maint: Deprecate is_complex_type and replace with iscomplex. Rik <rik@octave.org> parents: 23565 diff changeset	230 else if (argA.iscomplex () \|\| argB.iscomplex ())
22664 f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	231 {
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	232 FloatComplexMatrix ctmpA = argA.xfloat_complex_matrix_value ("gsvd: A must be a real or complex matrix");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	233 FloatComplexMatrix ctmpB = argB.xfloat_complex_matrix_value ("gsvd: B must be a real or complex matrix");
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	234
22664 f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	235 if (ctmpA.any_element_is_inf_or_nan ())
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	236 error ("gsvd: A cannot have Inf or NaN values");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	237 if (ctmpB.any_element_is_inf_or_nan ())
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	238 error ("gsvd: B cannot have Inf or NaN values");
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	239
22664 f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	240 retval = do_gsvd (ctmpA, ctmpB, nargout, true);
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	241 }
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	242 else
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	243 error ("gsvd: A and B must be real or complex matrices");
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	244 }
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	245 else
22664 f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	246 {
23582 0cc2011d800e maint: Deprecate is_real_type and replace with isreal. Rik <rik@octave.org> parents: 23581 diff changeset	247 if (argA.isreal () && argB.isreal ())
22664 f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	248 {
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	249 Matrix tmpA = argA.xmatrix_value ("gsvd: A must be a real or complex matrix");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	250 Matrix tmpB = argB.xmatrix_value ("gsvd: B must be a real or complex matrix");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	251
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	252 if (tmpA.any_element_is_inf_or_nan ())
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	253 error ("gsvd: A cannot have Inf or NaN values");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	254 if (tmpB.any_element_is_inf_or_nan ())
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	255 error ("gsvd: B cannot have Inf or NaN values");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	256
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	257 retval = do_gsvd (tmpA, tmpB, nargout);
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	258 }
23581 c3075ae020e1 maint: Deprecate is_complex_type and replace with iscomplex. Rik <rik@octave.org> parents: 23565 diff changeset	259 else if (argA.iscomplex () \|\| argB.iscomplex ())
22664 f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	260 {
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	261 ComplexMatrix ctmpA = argA.xcomplex_matrix_value ("gsvd: A must be a real or complex matrix");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	262 ComplexMatrix ctmpB = argB.xcomplex_matrix_value ("gsvd: B must be a real or complex matrix");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	263
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	264 if (ctmpA.any_element_is_inf_or_nan ())
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	265 error ("gsvd: A cannot have Inf or NaN values");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	266 if (ctmpB.any_element_is_inf_or_nan ())
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	267 error ("gsvd: B cannot have Inf or NaN values");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	268
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	269 retval = do_gsvd (ctmpA, ctmpB, nargout);
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	270 }
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	271 else
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	272 error ("gsvd: A and B must be real or complex matrices");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	273 }
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	274 }
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	275
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	276 return retval;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	277 }
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	278
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	279 /*
22580 98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	280
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	281 ## Basic test of decomposition
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	282 %!test <48807>
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	283 %! A = reshape (1:15,5,3);
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	284 %! B = magic (3);
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	285 %! [U,V,X,C,S] = gsvd (A,B);
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	286 %! assert (UCX', A, 50*eps);
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	287 %! assert (VSX', B, 50*eps);
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	288 %! S0 = gsvd (A, B);
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	289 %! S1 = svd (A / B);
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	290 %! assert (S0, S1, 10*eps);
98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	291
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	292 ## a few tests for gsvd.m
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	293 %!shared A, A0, B, B0, U, V, C, S, X, R, D1, D2
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	294 %! A0 = randn (5, 3);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	295 %! B0 = diag ([1 2 4]);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	296 %! A = A0;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	297 %! B = B0;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	298
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	299 ## 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	300 %!test <48807>
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	301 %! [U, V, X, C, S, R] = gsvd (A, B);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	302 %! D1 = zeros (5, 3); D1(1:3, 1:3) = C;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	303 %! D2 = S;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	304 %! assert (norm (diag (C).^2 + diag (S).^2 - ones (3, 1)) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	305 %! assert (norm ((U'AX) - D1*R) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	306 %! assert (norm ((V'BX) - D2*R) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	307
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	308 ## A: 5x3 full rank, B: 3x3 rank deficient
22580 98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	309 %!test <48807>
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	310 %! B(2, 2) = 0;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	311 %! [U, V, X, C, S, R] = gsvd (A, B);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	312 %! D1 = zeros (5, 3); D1(1, 1) = 1; D1(2:3, 2:3) = C;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	313 %! D2 = [zeros(2, 1) S; zeros(1, 3)];
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	314 %! assert (norm (diag (C).^2 + diag (S).^2 - ones (2, 1)) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	315 %! assert (norm ((U'AX) - D1*R) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	316 %! assert (norm ((V'BX) - D2*R) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	317
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	318 ## A: 5x3 rank deficient, B: 3x3 full rank
22580 98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	319 %!test <48807>
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	320 %! B = B0;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	321 %! A(:, 3) = 2*A(:, 1) - A(:, 2);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	322 %! [U, V, X, C, S, R] = gsvd (A, B);
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	323 %! D1 = zeros (5, 3); D1(1:3, 1:3) = C;
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	324 %! D2 = S;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	325 %! assert (norm (diag (C).^2 + diag (S).^2 - ones (3, 1)) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	326 %! assert (norm ((U'AX) - D1*R) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	327 %! assert (norm ((V'BX) - D2*R) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	328
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	329 ## A and B are both rank deficient
22580 98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	330 %!test <48807>
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	331 %! B(:, 3) = 2*B(:, 1) - B(:, 2);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	332 %! [U, V, X, C, S, R] = gsvd (A, B);
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	333 %! D1 = zeros (5, 2); D1(1:2, 1:2) = C;
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	334 %! D2 = [S; zeros(1, 2)];
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	335 %! assert (norm (diag (C).^2 + diag (S).^2 - ones (2, 1)) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	336 %! assert (norm ((U'AX) - D1*[zeros(2, 1) R]) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	337 %! assert (norm ((V'BX) - D2*[zeros(2, 1) R]) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	338
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	339 ## 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	340 %!test <48807>
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	341 %! A = A0.';
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	342 %! B0 = diag ([1 2 4 8 16]);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	343 %! B = B0;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	344 %! [U, V, X, C, S, R] = gsvd (A, B);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	345 %! D1 = [C zeros(3,2)];
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	346 %! D2 = [S zeros(3,2); zeros(2, 3) eye(2)];
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	347 %! assert (norm (diag (C).^2 + diag (S).^2 - ones (3, 1)) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	348 %! assert (norm ((U'AX) - D1*R) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	349 %! assert (norm ((V'BX) - D2*R) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	350
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	351 ## 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	352 %!test <48807>
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	353 %! B(2, 2) = 0;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	354 %! [U, V, X, C, S, R] = gsvd (A, B);
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	355 %! D1 = zeros (3, 5); D1(1, 1) = 1; D1(2:3, 2:3) = C;
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	356 %! D2 = zeros (5, 5); D2(1:2, 2:3) = S; D2(3:4, 4:5) = eye (2);
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	357 %! assert (norm (diag (C).^2 + diag (S).^2 - ones (2, 1)) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	358 %! assert (norm ((U'AX) - D1*R) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	359 %! assert (norm ((V'BX) - D2*R) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	360
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	361 ## 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	362 %!test <48807>
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	363 %! B = B0;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	364 %! A(3, :) = 2*A(1, :) - A(2, :);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	365 %! [U, V, X, C, S, R] = gsvd (A, B);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	366 %! D1 = zeros (3, 5); D1(1:3, 1:3) = C;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	367 %! D2 = zeros (5, 5); D2(1:3, 1:3) = S; D2(4:5, 4:5) = eye (2);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	368 %! assert (norm (diag (C).^2 + diag (S).^2 - ones (3, 1)) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	369 %! assert (norm ((U'AX) - D1*R) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	370 %! assert (norm ((V'BX) - D2*R) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	371
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	372 ## A and B are both rank deficient
22580 98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	373 %!test <48807>
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	374 %! A = A0.'; B = B0.';
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	375 %! A(:, 3) = 2*A(:, 1) - A(:, 2);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	376 %! B(:, 3) = 2*B(:, 1) - B(:, 2);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	377 %! [U, V, X, C, S, R]=gsvd (A, B);
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	378 %! D1 = zeros (3, 4); D1(1:3, 1:3) = C;
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	379 %! D2 = eye (4); D2(1:3, 1:3) = S; D2(5,:) = 0;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	380 %! assert (norm (diag (C).^2 + diag (S).^2 - ones (3, 1)) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	381 %! assert (norm ((U'AX) - D1*[zeros(4, 1) R]) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	382 %! assert (norm ((V'BX) - D2*[zeros(4, 1) R]) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	383
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	384 ## 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	385 %!test <48807>
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	386 %! A0 = A0 + j*randn (5, 3);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	387 %! B0 = diag ([1 2 4]) + j*diag ([4 -2 -1]);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	388 %! A = A0;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	389 %! B = B0;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	390 %! [U, V, X, C, S, R] = gsvd (A, B);
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	391 %! D1 = zeros (5, 3); D1(1:3, 1:3) = C;
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	392 %! D2 = S;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	393 %! assert (norm (diag (C).^2 + diag (S).^2 - ones (3, 1)) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	394 %! assert (norm ((U'AX) - D1*R) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	395 %! assert (norm ((V'BX) - D2*R) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	396
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	397 ## 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	398 %!test <48807>
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	399 %! B(2, 2) = 0;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	400 %! [U, V, X, C, S, R] = gsvd (A, B);
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	401 %! D1 = zeros (5, 3); D1(1, 1) = 1; D1(2:3, 2:3) = C;
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	402 %! D2 = [zeros(2, 1) S; zeros(1, 3)];
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	403 %! assert (norm (diag (C).^2 + diag (S).^2 - ones (2, 1)) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	404 %! assert (norm ((U'AX) - D1*R) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	405 %! assert (norm ((V'BX) - D2*R) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	406
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	407 ## 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	408 %!test <48807>
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	409 %! B = B0;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	410 %! A(:, 3) = 2*A(:, 1) - A(:, 2);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	411 %! [U, V, X, C, S, R] = gsvd (A, B);
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	412 %! D1 = zeros (5, 3); D1(1:3, 1:3) = C;
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	413 %! D2 = S;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	414 %! assert (norm (diag (C).^2 + diag (S).^2 - ones (3, 1)) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	415 %! assert (norm ((U'AX) - D1*R) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	416 %! assert (norm ((V'BX) - D2*R) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	417
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	418 ## A (5x3) and B (3x3) are both 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	419 %!test <48807>
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	420 %! B(:, 3) = 2*B(:, 1) - B(:, 2);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	421 %! [U, V, X, C, S, R] = gsvd (A, B);
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	422 %! D1 = zeros (5, 2); D1(1:2, 1:2) = C;
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	423 %! D2 = [S; zeros(1, 2)];
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	424 %! assert (norm (diag (C).^2 + diag (S).^2 - ones (2, 1)) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	425 %! assert (norm ((U'AX) - D1*[zeros(2, 1) R]) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	426 %! assert (norm ((V'BX) - D2*[zeros(2, 1) R]) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	427
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	428 ## 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	429 ## 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	430 %!test <48807>
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	431 %! A = A0.';
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	432 %! 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	433 %! B = B0;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	434 %! [U, V, X, C, S, R] = gsvd (A, B);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	435 %! D1 = [C zeros(3,2)];
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	436 %! D2 = [S zeros(3,2); zeros(2, 3) eye(2)];
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	437 %! assert (norm (diag (C).^2 + diag (S).^2 - ones (3, 1)) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	438 %! assert (norm ((U'AX) - D1*R) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	439 %! assert (norm ((V'BX) - D2*R) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	440
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	441 ## 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	442 %!test <48807>
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	443 %! B(2, 2) = 0;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	444 %! [U, V, X, C, S, R] = gsvd (A, B);
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	445 %! D1 = zeros (3, 5); D1(1, 1) = 1; D1(2:3, 2:3) = C;
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	446 %! D2 = zeros (5,5); D2(1:2, 2:3) = S; D2(3:4, 4:5) = eye (2);
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	447 %! assert (norm (diag (C).^2 + diag (S).^2 - ones (2, 1)) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	448 %! assert (norm ((U'AX) - D1*R) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	449 %! assert (norm ((V'BX) - D2*R) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	450
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	451 ## 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	452 %!test <48807>
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	453 %! B = B0;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	454 %! A(3, :) = 2*A(1, :) - A(2, :);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	455 %! [U, V, X, C, S, R] = gsvd (A, B);
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	456 %! D1 = zeros (3, 5); D1(1:3, 1:3) = C;
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	457 %! D2 = zeros (5,5); D2(1:3, 1:3) = S; D2(4:5, 4:5) = eye (2);
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	458 %! assert (norm (diag (C).^2 + diag (S).^2 - ones (3, 1)) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	459 %! assert (norm ((U'AX) - D1*R) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	460 %! assert (norm ((V'BX) - D2*R) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	461
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	462 ## A and B are both 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	463 %!test <48807>
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	464 %! A = A0.';
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	465 %! B = B0.';
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	466 %! A(:, 3) = 2*A(:, 1) - A(:, 2);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	467 %! B(:, 3) = 2*B(:, 1) - B(:, 2);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	468 %! [U, V, X, C, S, R] = gsvd (A, B);
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	469 %! D1 = zeros (3, 4); D1(1:3, 1:3) = C;
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	470 %! D2 = eye (4); D2(1:3, 1:3) = S; D2(5,:) = 0;
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	471 %! assert (norm (diag (C).^2 + diag (S).^2 - ones (3, 1)) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	472 %! assert (norm ((U'AX) - D1*[zeros(4, 1) R]) <= 1e-6);
d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	473 %! assert (norm ((V'BX) - D2*[zeros(4, 1) R]) <= 1e-6);
22580 98eeed41f372 gsvd.cc: Update gsvd implementation in preparation for Matlab compatibility (bug #48807). Rik <rik@octave.org> parents: 22572 diff changeset	474
22664 f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	475 ## 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	476 %!test
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	477 %! s = gsvd (single (ones (0,1)), B);
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	478 %! assert (class (s), "single");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	479 %! s = gsvd (single (ones (1,0)), B);
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	480 %! assert (class (s), "single");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	481 %! s = gsvd (single (ones (1,0)), B);
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	482 %! [U,V,X,C,S,R] = gsvd (single ([]), B);
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	483 %! assert (class (U), "single");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	484 %! assert (class (V), "single");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	485 %! assert (class (X), "single");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	486 %! assert (class (C), "single");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	487 %! assert (class (S), "single");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	488 %! assert (class (R), "single");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	489 %!
22709 5c04055aa767 maint: Strip trailing whitespace from source files. John W. Eaton <jwe@octave.org> parents: 22664 diff changeset	490 %! s = gsvd (single (A), B);
22664 f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	491 %! assert (class (s), "single");
22709 5c04055aa767 maint: Strip trailing whitespace from source files. John W. Eaton <jwe@octave.org> parents: 22664 diff changeset	492 %! [U,V,X,C,S,R] = gsvd (single (A), B);
22664 f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	493 %! assert (class (U), "single");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	494 %! assert (class (V), "single");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	495 %! assert (class (X), "single");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	496 %! assert (class (C), "single");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	497 %! assert (class (S), "single");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	498 %! assert (class (R), "single");
f1bb2f0bcfec Connect C++ gsvd to float version in liboctave (bug #48807). Rik <rik@octave.org> parents: 22580 diff changeset	499
22572 d65ed83dfd13 gsvd: backout cset 73a85c6cacd1. Carnë Draug <carandraug@octave.org> parents: diff changeset	500 */
29958 32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace John W. Eaton <jwe@octave.org> parents: 29359 diff changeset	501
32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace John W. Eaton <jwe@octave.org> parents: 29359 diff changeset	502 OCTAVE_NAMESPACE_END

Mercurial > octave

annotate libinterp/corefcn/gsvd.cc @ 29958:32c3a5805893