octave-antonio: src/DLD-FUNCTIONS/qr.cc annotate

annotate src/DLD-FUNCTIONS/qr.cc @ 7886:e3e94982dfd4

Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments

author	David Bateman <dbateman@free.fr>
date	Sun, 08 Jun 2008 20:41:01 +0200
parents	87865ed7405f
children	4976f66d469b

rev	line source
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	1 /*
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	2
7017 a1dbe9d80eee [project @ 2007-10-12 21:27:11 by jwe] jwe parents: 7016 diff changeset	3 Copyright (C) 1996, 1997, 1999, 2000, 2005, 2006, 2007 John W. Eaton
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	4
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	5 This file is part of Octave.
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	6
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	7 Octave is free software; you can redistribute it and/or modify it
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	8 under the terms of the GNU General Public License as published by the
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6484 diff changeset	9 Free Software Foundation; either version 3 of the License, or (at your
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6484 diff changeset	10 option) any later version.
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	11
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	12 Octave is distributed in the hope that it will be useful, but WITHOUT
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	15 for more details.
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	16
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	17 You should have received a copy of the GNU General Public License
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6484 diff changeset	18 along with Octave; see the file COPYING. If not, see
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6484 diff changeset	19 <http://www.gnu.org/licenses/>.
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	20
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	21 */
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	22
7700 efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	23 // The qrupdate, qrinsert, qrdelete and qrshift functions were written by
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	24 // Jaroslav Hajek <highegg@gmail.com>, Copyright (C) 2008 VZLU
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	25 // Prague, a.s., Czech Republic.
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	26
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	27 #ifdef HAVE_CONFIG_H
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	28 #include <config.h>
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	29 #endif
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	30
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	31 #include "CmplxQR.h"
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	32 #include "CmplxQRP.h"
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	33 #include "dbleQR.h"
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	34 #include "dbleQRP.h"
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	35 #include "fCmplxQR.h"
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	36 #include "fCmplxQRP.h"
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	37 #include "floatQR.h"
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	38 #include "floatQRP.h"
7505 f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	39 #include "SparseQR.h"
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	40 #include "SparseCmplxQR.h"
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	41
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	42
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	43 #include "defun-dld.h"
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	44 #include "error.h"
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	45 #include "gripes.h"
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	46 #include "oct-obj.h"
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	47 #include "utils.h"
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	48
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	49 // [Q, R] = qr (X): form Q unitary and R upper triangular such
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	50 // that Q * R = X
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	51 //
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	52 // [Q, R] = qr (X, 0): form the economy decomposition such that if X is
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	53 // m by n then only the first n columns of Q are
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	54 // computed.
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	55 //
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	56 // [Q, R, P] = qr (X): form QRP factorization of X where
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	57 // P is a permutation matrix such that
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	58 // A * P = Q * R
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	59 //
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	60 // [Q, R, P] = qr (X, 0): form the economy decomposition with
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	61 // permutation vector P such that Q * R = X (:, P)
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	62 //
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	63 // qr (X) alone returns the output of the LAPACK routine dgeqrf, such
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	64 // that R = triu (qr (X))
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	65
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	66 DEFUN_DLD (qr, args, nargout,
3548 ab7fa5a8f23f [project @ 2000-02-03 01:17:15 by jwe] jwe parents: 3372 diff changeset	67 "-- texinfo --\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	68 @deftypefn {Loadable Function} {[@var{q}, @var{r}, @var{p}] =} qr (@var{a})\n\
7505 f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	69 @deftypefnx {Loadable Function} {[@var{q}, @var{r}, @var{p}] =} qr (@var{a}, '0')\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	70 @cindex QR factorization\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	71 Compute the QR factorization of @var{a}, using standard @sc{Lapack}\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	72 subroutines. For example, given the matrix @code{a = [1, 2; 3, 4]},\n\
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	73 \n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	74 @example\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	75 [q, r] = qr (a)\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	76 @end example\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	77 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	78 @noindent\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	79 returns\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	80 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	81 @example\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	82 q =\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	83 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	84 -0.31623 -0.94868\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	85 -0.94868 0.31623\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	86 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	87 r =\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	88 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	89 -3.16228 -4.42719\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	90 0.00000 -0.63246\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	91 @end example\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	92 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	93 The @code{qr} factorization has applications in the solution of least\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	94 squares problems\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	95 @iftex\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	96 @tex\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	97 $$\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	98 \\min_x \\left\\Vert A x - b \\right\\Vert_2\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	99 $$\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	100 @end tex\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	101 @end iftex\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	102 @ifinfo\n\
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	103 \n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	104 @example\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	105 @code{min norm(A x - b)}\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	106 @end example\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	107 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	108 @end ifinfo\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	109 for overdetermined systems of equations (i.e.,\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	110 @iftex\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	111 @tex\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	112 $A$\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	113 @end tex\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	114 @end iftex\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	115 @ifinfo\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	116 @code{a}\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	117 @end ifinfo\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	118 is a tall, thin matrix). The QR factorization is\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	119 @iftex\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	120 @tex\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	121 $QR = A$ where $Q$ is an orthogonal matrix and $R$ is upper triangular.\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	122 @end tex\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	123 @end iftex\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	124 @ifinfo\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	125 @code{q * r = a} where @code{q} is an orthogonal matrix and @code{r} is\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	126 upper triangular.\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	127 @end ifinfo\n\
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	128 \n\
7505 f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	129 If given a second argument of '0', @code{qr} returns an economy-sized\n\
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	130 QR factorization, omitting zero rows of @var{R} and the corresponding\n\
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	131 columns of @var{Q}.\n\
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	132 \n\
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	133 If the matrix @var{a} is full, the permuted QR factorization\n\
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	134 @code{[@var{q}, @var{r}, @var{p}] = qr (@var{a})} forms the QR factorization\n\
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	135 such that the diagonal entries of @code{r} are decreasing in magnitude\n\
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	136 order. For example,given the matrix @code{a = [1, 2; 3, 4]},\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	137 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	138 @example\n\
3600 c11d138d654a [project @ 2000-02-24 03:55:32 by jwe] jwe parents: 3548 diff changeset	139 [q, r, p] = qr(a)\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	140 @end example\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	141 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	142 @noindent\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	143 returns\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	144 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	145 @example\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	146 q = \n\
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	147 \n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	148 -0.44721 -0.89443\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	149 -0.89443 0.44721\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	150 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	151 r =\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	152 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	153 -4.47214 -3.13050\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	154 0.00000 0.44721\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	155 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	156 p =\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	157 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	158 0 1\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	159 1 0\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	160 @end example\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	161 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	162 The permuted @code{qr} factorization @code{[q, r, p] = qr (a)}\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	163 factorization allows the construction of an orthogonal basis of\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	164 @code{span (a)}.\n\
7491 7879ef1042a8 qr doc fix Jaroslav Hajek parents: 7017 diff changeset	165 \n\
7505 f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	166 If the matrix @var{a} is sparse, then compute the sparse QR factorization\n\
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	167 of @var{a}, using @sc{CSparse}. As the matrix @var{Q} is in general a full\n\
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	168 matrix, this function returns the @var{Q}-less factorization @var{r} of\n\
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	169 @var{a}, such that @code{@var{r} = chol (@var{a}' * @var{a})}.\n\
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	170 \n\
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	171 If the final argument is the scalar @code{0} and the number of rows is\n\
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	172 larger than the number of columns, then an economy factorization is\n\
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	173 returned. That is @var{r} will have only @code{size (@var{a},1)} rows.\n\
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	174 \n\
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	175 If an additional matrix @var{b} is supplied, then @code{qr} returns\n\
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	176 @var{c}, where @code{@var{c} = @var{q}' * @var{b}}. This allows the\n\
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	177 least squares approximation of @code{@var{a} \\ @var{b}} to be calculated\n\
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	178 as\n\
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	179 \n\
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	180 @example\n\
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	181 [@var{c},@var{r}] = spqr (@var{a},@var{b})\n\
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	182 @var{x} = @var{r} \\ @var{c}\n\
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	183 @end example\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3069 diff changeset	184 @end deftypefn")
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	185 {
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	186 octave_value_list retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	187
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	188 int nargin = args.length ();
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	189
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	190 if (nargin < 1 \|\| nargin > (args(0).is_sparse_type() ? 3 : 2))
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	191 {
5823 080c08b192d8 [project @ 2006-05-19 05:32:17 by jwe] jwe parents: 5307 diff changeset	192 print_usage ();
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	193 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	194 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	195
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	196 octave_value arg = args(0);
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	197
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	198 int arg_is_empty = empty_arg ("qr", arg.rows (), arg.columns ());
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	199
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	200 if (arg_is_empty < 0)
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	201 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	202 else if (arg_is_empty > 0)
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	203 return octave_value_list (3, Matrix ());
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	204
7505 f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	205 if (arg.is_sparse_type ())
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	206 {
7505 f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	207 bool economy = false;
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	208 bool is_cmplx = false;
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	209 int have_b = 0;
3068 17e2f90e0d3b [project @ 1997-07-08 02:17:36 by jwe] jwe parents: 3014 diff changeset	210
7505 f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	211 if (arg.is_complex_type ())
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	212 is_cmplx = true;
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	213 if (nargin > 1)
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	214 {
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	215 have_b = 1;
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	216 if (args(nargin-1).is_scalar_type ())
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	217 {
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	218 int val = args(nargin-1).int_value ();
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	219 if (val == 0)
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	220 {
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	221 economy = true;
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	222 have_b = (nargin > 2 ? 2 : 0);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	223 }
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	224 }
7505 f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	225 if (have_b > 0 && args(have_b).is_complex_type ())
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	226 is_cmplx = true;
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	227 }
7505 f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	228
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	229 if (!error_state)
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	230 {
7505 f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	231 if (have_b && nargout < 2)
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	232 error ("qr: incorrect number of output arguments");
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	233 else if (is_cmplx)
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	234 {
7505 f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	235 SparseComplexQR q (arg.sparse_complex_matrix_value ());
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	236 if (!error_state)
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	237 {
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	238 if (have_b > 0)
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	239 {
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	240 retval(1) = q.R (economy);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	241 retval(0) = q.C (args(have_b).complex_matrix_value ());
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	242 if (arg.rows() < arg.columns())
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	243 warning ("qr: non minimum norm solution for under-determined problem");
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	244 }
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	245 else if (nargout > 1)
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	246 {
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	247 retval(1) = q.R (economy);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	248 retval(0) = q.Q ();
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	249 }
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	250 else
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	251 retval(0) = q.R (economy);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	252 }
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	253 }
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	254 else
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	255 {
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	256 SparseQR q (arg.sparse_matrix_value ());
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	257 if (!error_state)
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	258 {
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	259 if (have_b > 0)
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	260 {
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	261 retval(1) = q.R (economy);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	262 retval(0) = q.C (args(have_b).matrix_value ());
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	263 if (args(0).rows() < args(0).columns())
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	264 warning ("qr: non minimum norm solution for under-determined problem");
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	265 }
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	266 else if (nargout > 1)
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	267 {
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	268 retval(1) = q.R (economy);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	269 retval(0) = q.Q ();
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	270 }
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	271 else
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	272 retval(0) = q.R (economy);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	273 }
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	274 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	275 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	276 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	277 else
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	278 {
7505 f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	279 QR::type type = (nargout == 0 \|\| nargout == 1) ? QR::raw
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	280 : (nargin == 2 ? QR::economy : QR::std);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	281
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	282 if (arg.is_single_type ())
7505 f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	283 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	284 if (arg.is_real_type ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	285 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	286 FloatMatrix m = arg.float_matrix_value ();
7505 f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	287
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	288 if (! error_state)
7505 f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	289 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	290 switch (nargout)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	291 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	292 case 0:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	293 case 1:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	294 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	295 FloatQR fact (m, type);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	296 retval(0) = fact.R ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	297 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	298 break;
7505 f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	299
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	300 case 2:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	301 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	302 FloatQR fact (m, type);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	303 retval(1) = fact.R ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	304 retval(0) = fact.Q ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	305 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	306 break;
7505 f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	307
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	308 default:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	309 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	310 FloatQRP fact (m, type);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	311 retval(2) = fact.P ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	312 retval(1) = fact.R ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	313 retval(0) = fact.Q ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	314 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	315 break;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	316 }
7505 f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	317 }
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	318 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	319 else if (arg.is_complex_type ())
7505 f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	320 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	321 FloatComplexMatrix m = arg.float_complex_matrix_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	322
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	323 if (! error_state)
7505 f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	324 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	325 switch (nargout)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	326 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	327 case 0:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	328 case 1:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	329 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	330 FloatComplexQR fact (m, type);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	331 retval(0) = fact.R ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	332 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	333 break;
7505 f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	334
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	335 case 2:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	336 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	337 FloatComplexQR fact (m, type);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	338 retval(1) = fact.R ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	339 retval(0) = fact.Q ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	340 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	341 break;
7505 f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	342
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	343 default:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	344 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	345 FloatComplexQRP fact (m, type);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	346 retval(2) = fact.P ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	347 retval(1) = fact.R ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	348 retval(0) = fact.Q ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	349 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	350 break;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	351 }
7505 f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	352 }
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	353 }
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	354 }
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	355 else
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	356 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	357 if (arg.is_real_type ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	358 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	359 Matrix m = arg.matrix_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	360
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	361 if (! error_state)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	362 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	363 switch (nargout)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	364 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	365 case 0:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	366 case 1:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	367 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	368 QR fact (m, type);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	369 retval(0) = fact.R ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	370 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	371 break;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	372
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	373 case 2:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	374 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	375 QR fact (m, type);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	376 retval(1) = fact.R ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	377 retval(0) = fact.Q ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	378 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	379 break;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	380
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	381 default:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	382 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	383 QRP fact (m, type);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	384 retval(2) = fact.P ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	385 retval(1) = fact.R ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	386 retval(0) = fact.Q ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	387 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	388 break;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	389 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	390 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	391 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	392 else if (arg.is_complex_type ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	393 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	394 ComplexMatrix m = arg.complex_matrix_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	395
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	396 if (! error_state)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	397 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	398 switch (nargout)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	399 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	400 case 0:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	401 case 1:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	402 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	403 ComplexQR fact (m, type);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	404 retval(0) = fact.R ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	405 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	406 break;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	407
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	408 case 2:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	409 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	410 ComplexQR fact (m, type);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	411 retval(1) = fact.R ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	412 retval(0) = fact.Q ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	413 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	414 break;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	415
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	416 default:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	417 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	418 ComplexQRP fact (m, type);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	419 retval(2) = fact.P ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	420 retval(1) = fact.R ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	421 retval(0) = fact.Q ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	422 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	423 break;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	424 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	425 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	426 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	427 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	428 gripe_wrong_type_arg ("qr", arg);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7700 diff changeset	429 }
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	430 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	431
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	432 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	433 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	434
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	435 /*
7505 f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	436
7814 87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	437 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	438 %! a = [0, 2, 1; 2, 1, 2];
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	439 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	440 %! [q, r] = qr (a);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	441 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	442 %! [qe, re] = qr (a, 0);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	443 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	444 %! assert (q * r, a, sqrt (eps));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	445 %! assert (qe * re, a, sqrt (eps));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	446
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	447 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	448 %! a = [0, 2, 1; 2, 1, 2];
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	449 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	450 %! [q, r, p] = qr (a); # not giving right dimensions. FIXME
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	451 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	452 %! [qe, re, pe] = qr (a, 0);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	453 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	454 %! assert (q * r, a * p, sqrt (eps));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	455 %! assert (qe * re, a(:, pe), sqrt (eps));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	456
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	457 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	458 %! a = [0, 2; 2, 1; 1, 2];
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	459 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	460 %! [q, r] = qr (a);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	461 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	462 %! [qe, re] = qr (a, 0);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	463 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	464 %! assert (q * r, a, sqrt (eps));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	465 %! assert (qe * re, a, sqrt (eps));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	466
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	467 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	468 %! a = [0, 2; 2, 1; 1, 2];
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	469 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	470 %! [q, r, p] = qr (a);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	471 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	472 %! [qe, re, pe] = qr (a, 0);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	473 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	474 %! assert (q * r, a * p, sqrt (eps));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	475 %! assert (qe * re, a(:, pe), sqrt (eps));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	476
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	477 %!error <Invalid call to qr.*> qr ();
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	478 %!error <Invalid call to qr.*> qr ([1, 2; 3, 4], 0, 2);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	479
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	480 %!function retval = testqr (q, r, a, p)
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	481 %! tol = 100*eps (class(q));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	482 %! retval = 0;
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	483 %! if (nargin == 3)
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	484 %! n1 = norm (q*r-a);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	485 %! n2 = norm (q'*q-eye(columns(q)));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	486 %! retval = (n1 < tol && n2 < tol);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	487 %! else
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	488 %! n1 = norm (q'*q-eye(columns(q)));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	489 %! retval = (n1 < tol);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	490 %! if (isvector (p))
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	491 %! n2 = norm (q*r-a(:,p));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	492 %! retval = (retval && n2 < tol);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	493 %! else
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	494 %! n2 = norm (qr - ap);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	495 %! retval = (retval && n2 < tol);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	496 %! endif
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	497 %! endif
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	498 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	499 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	500 %! t = ones (24, 1);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	501 %! j = 1;
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	502 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	503 %! if false # eliminate big matrix tests
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	504 %! a = rand(5000,20);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	505 %! [q,r]=qr(a,0); t(j++) = testqr(q,r,a);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	506 %! [q,r]=qr(a',0); t(j++) = testqr(q,r,a');
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	507 %! [q,r,p]=qr(a,0); t(j++) = testqr(q,r,a,p);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	508 %! [q,r,p]=qr(a',0); t(j++) = testqr(q,r,a',p);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	509 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	510 %! a = a+1i*eps;
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	511 %! [q,r]=qr(a,0); t(j++) = testqr(q,r,a);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	512 %! [q,r]=qr(a',0); t(j++) = testqr(q,r,a');
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	513 %! [q,r,p]=qr(a,0); t(j++) = testqr(q,r,a,p);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	514 %! [q,r,p]=qr(a',0); t(j++) = testqr(q,r,a',p);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	515 %! endif
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	516 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	517 %! a = [ ones(1,15); sqrt(eps)*eye(15) ];
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	518 %! [q,r]=qr(a); t(j++) = testqr(q,r,a);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	519 %! [q,r]=qr(a'); t(j++) = testqr(q,r,a');
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	520 %! [q,r,p]=qr(a); t(j++) = testqr(q,r,a,p);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	521 %! [q,r,p]=qr(a'); t(j++) = testqr(q,r,a',p);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	522 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	523 %! a = a+1i*eps;
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	524 %! [q,r]=qr(a); t(j++) = testqr(q,r,a);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	525 %! [q,r]=qr(a'); t(j++) = testqr(q,r,a');
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	526 %! [q,r,p]=qr(a); t(j++) = testqr(q,r,a,p);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	527 %! [q,r,p]=qr(a'); t(j++) = testqr(q,r,a',p);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	528 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	529 %! a = [ ones(1,15); sqrt(eps)*eye(15) ];
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	530 %! [q,r]=qr(a,0); t(j++) = testqr(q,r,a);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	531 %! [q,r]=qr(a',0); t(j++) = testqr(q,r,a');
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	532 %! [q,r,p]=qr(a,0); t(j++) = testqr(q,r,a,p);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	533 %! [q,r,p]=qr(a',0); t(j++) = testqr(q,r,a',p);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	534 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	535 %! a = a+1i*eps;
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	536 %! [q,r]=qr(a,0); t(j++) = testqr(q,r,a);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	537 %! [q,r]=qr(a',0); t(j++) = testqr(q,r,a');
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	538 %! [q,r,p]=qr(a,0); t(j++) = testqr(q,r,a,p);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	539 %! [q,r,p]=qr(a',0); t(j++) = testqr(q,r,a',p);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	540 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	541 %! a = [
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	542 %! 611 196 -192 407 -8 -52 -49 29
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	543 %! 196 899 113 -192 -71 -43 -8 -44
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	544 %! -192 113 899 196 61 49 8 52
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	545 %! 407 -192 196 611 8 44 59 -23
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	546 %! -8 -71 61 8 411 -599 208 208
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	547 %! -52 -43 49 44 -599 411 208 208
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	548 %! -49 -8 8 59 208 208 99 -911
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	549 %! 29 -44 52 -23 208 208 -911 99
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	550 %! ];
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	551 %! [q,r] = qr(a);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	552 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	553 %! assert(all (t) && norm(qr-a) < 5000eps);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	554
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	555 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	556 %! a = single ([0, 2, 1; 2, 1, 2]);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	557 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	558 %! [q, r] = qr (a);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	559 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	560 %! [qe, re] = qr (a, 0);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	561 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	562 %! assert (q * r, a, sqrt (eps ('single')));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	563 %! assert (qe * re, a, sqrt (eps ('single')));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	564
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	565 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	566 %! a = single([0, 2, 1; 2, 1, 2]);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	567 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	568 %! [q, r, p] = qr (a); # not giving right dimensions. FIXME
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	569 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	570 %! [qe, re, pe] = qr (a, 0);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	571 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	572 %! assert (q * r, a * p, sqrt (eps('single')));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	573 %! assert (qe * re, a(:, pe), sqrt (eps('single')));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	574
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	575 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	576 %! a = single([0, 2; 2, 1; 1, 2]);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	577 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	578 %! [q, r] = qr (a);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	579 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	580 %! [qe, re] = qr (a, 0);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	581 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	582 %! assert (q * r, a, sqrt (eps('single')));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	583 %! assert (qe * re, a, sqrt (eps('single')));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	584
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	585 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	586 %! a = single([0, 2; 2, 1; 1, 2]);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	587 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	588 %! [q, r, p] = qr (a);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	589 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	590 %! [qe, re, pe] = qr (a, 0);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	591 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	592 %! assert (q * r, a * p, sqrt (eps('single')));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	593 %! assert (qe * re, a(:, pe), sqrt (eps('single')));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	594
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	595 %!error <Invalid call to qr.*> qr ();
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	596 %!error <Invalid call to qr.*> qr ([1, 2; 3, 4], 0, 2);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	597
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	598 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	599 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	600 %! t = ones (24, 1);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	601 %! j = 1;
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	602 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	603 %! if false # eliminate big matrix tests
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	604 %! a = rand(5000,20);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	605 %! [q,r]=qr(a,0); t(j++) = testqr(q,r,a);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	606 %! [q,r]=qr(a',0); t(j++) = testqr(q,r,a');
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	607 %! [q,r,p]=qr(a,0); t(j++) = testqr(q,r,a,p);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	608 %! [q,r,p]=qr(a',0); t(j++) = testqr(q,r,a',p);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	609 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	610 %! a = a+1i*eps('single');
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	611 %! [q,r]=qr(a,0); t(j++) = testqr(q,r,a);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	612 %! [q,r]=qr(a',0); t(j++) = testqr(q,r,a');
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	613 %! [q,r,p]=qr(a,0); t(j++) = testqr(q,r,a,p);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	614 %! [q,r,p]=qr(a',0); t(j++) = testqr(q,r,a',p);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	615 %! endif
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	616 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	617 %! a = [ ones(1,15); sqrt(eps('single'))*eye(15) ];
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	618 %! [q,r]=qr(a); t(j++) = testqr(q,r,a);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	619 %! [q,r]=qr(a'); t(j++) = testqr(q,r,a');
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	620 %! [q,r,p]=qr(a); t(j++) = testqr(q,r,a,p);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	621 %! [q,r,p]=qr(a'); t(j++) = testqr(q,r,a',p);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	622 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	623 %! a = a+1i*eps('single');
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	624 %! [q,r]=qr(a); t(j++) = testqr(q,r,a);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	625 %! [q,r]=qr(a'); t(j++) = testqr(q,r,a');
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	626 %! [q,r,p]=qr(a); t(j++) = testqr(q,r,a,p);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	627 %! [q,r,p]=qr(a'); t(j++) = testqr(q,r,a',p);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	628 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	629 %! a = [ ones(1,15); sqrt(eps('single'))*eye(15) ];
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	630 %! [q,r]=qr(a,0); t(j++) = testqr(q,r,a);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	631 %! [q,r]=qr(a',0); t(j++) = testqr(q,r,a');
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	632 %! [q,r,p]=qr(a,0); t(j++) = testqr(q,r,a,p);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	633 %! [q,r,p]=qr(a',0); t(j++) = testqr(q,r,a',p);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	634 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	635 %! a = a+1i*eps('single');
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	636 %! [q,r]=qr(a,0); t(j++) = testqr(q,r,a);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	637 %! [q,r]=qr(a',0); t(j++) = testqr(q,r,a');
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	638 %! [q,r,p]=qr(a,0); t(j++) = testqr(q,r,a,p);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	639 %! [q,r,p]=qr(a',0); t(j++) = testqr(q,r,a',p);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	640 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	641 %! a = [
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	642 %! 611 196 -192 407 -8 -52 -49 29
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	643 %! 196 899 113 -192 -71 -43 -8 -44
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	644 %! -192 113 899 196 61 49 8 52
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	645 %! 407 -192 196 611 8 44 59 -23
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	646 %! -8 -71 61 8 411 -599 208 208
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	647 %! -52 -43 49 44 -599 411 208 208
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	648 %! -49 -8 8 59 208 208 99 -911
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	649 %! 29 -44 52 -23 208 208 -911 99
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	650 %! ];
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	651 %! [q,r] = qr(a);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	652 %!
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	653 %! assert(all (t) && norm(qr-a) < 5000eps('single'));
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	654
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	655 %% The deactivated tests below can't be tested till rectangular back-subs is
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	656 %% implemented for sparse matrices.
7505 f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	657
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	658 %!testif HAVE_CXSPARSE
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	659 %! n = 20; d= 0.2;
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	660 %! a = sprandn(n,n,d)+speye(n,n);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	661 %! r = qr(a);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	662 %! assert(r'r,a'a,1e-10)
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	663
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	664 %!testif HAVE_CXSPARSE
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	665 %! n = 20; d= 0.2;
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	666 %! a = sprandn(n,n,d)+speye(n,n);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	667 %! q = symamd(a);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	668 %! a = a(q,q);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	669 %! r = qr(a);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	670 %! assert(r'r,a'a,1e-10)
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	671
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	672 %!testif HAVE_CXSPARSE
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	673 %! n = 20; d= 0.2;
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	674 %! a = sprandn(n,n,d)+speye(n,n);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	675 %! [c,r] = qr(a,ones(n,1));
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	676 %! assert (r\c,full(a)\ones(n,1),10e-10)
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	677
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	678 %!testif HAVE_CXSPARSE
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	679 %! n = 20; d= 0.2;
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	680 %! a = sprandn(n,n,d)+speye(n,n);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	681 %! b = randn(n,2);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	682 %! [c,r] = qr(a,b);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	683 %! assert (r\c,full(a)\b,10e-10)
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	684
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	685 %% Test under-determined systems!!
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	686 %!#testif HAVE_CXSPARSE
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	687 %! n = 20; d= 0.2;
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	688 %! a = sprandn(n,n+1,d)+speye(n,n+1);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	689 %! b = randn(n,2);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	690 %! [c,r] = qr(a,b);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	691 %! assert (r\c,full(a)\b,10e-10)
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	692
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	693 %!testif HAVE_CXSPARSE
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	694 %! n = 20; d= 0.2;
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	695 %! a = 1i*sprandn(n,n,d)+speye(n,n);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	696 %! r = qr(a);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	697 %! assert(r'r,a'a,1e-10)
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	698
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	699 %!testif HAVE_CXSPARSE
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	700 %! n = 20; d= 0.2;
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	701 %! a = 1i*sprandn(n,n,d)+speye(n,n);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	702 %! q = symamd(a);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	703 %! a = a(q,q);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	704 %! r = qr(a);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	705 %! assert(r'r,a'a,1e-10)
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	706
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	707 %!testif HAVE_CXSPARSE
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	708 %! n = 20; d= 0.2;
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	709 %! a = 1i*sprandn(n,n,d)+speye(n,n);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	710 %! [c,r] = qr(a,ones(n,1));
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	711 %! assert (r\c,full(a)\ones(n,1),10e-10)
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	712
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	713 %!testif HAVE_CXSPARSE
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	714 %! n = 20; d= 0.2;
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	715 %! a = 1i*sprandn(n,n,d)+speye(n,n);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	716 %! b = randn(n,2);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	717 %! [c,r] = qr(a,b);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	718 %! assert (r\c,full(a)\b,10e-10)
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	719
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	720 %% Test under-determined systems!!
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	721 %!#testif HAVE_CXSPARSE
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	722 %! n = 20; d= 0.2;
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	723 %! a = 1i*sprandn(n,n+1,d)+speye(n,n+1);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	724 %! b = randn(n,2);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	725 %! [c,r] = qr(a,b);
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	726 %! assert (r\c,full(a)\b,10e-10)
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	727
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	728 %!error qr(sprandn(10,10,0.2),ones(10,1));
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	729
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	730 */
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	731
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	732 DEFUN_DLD (qrupdate, args, ,
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	733 "-- texinfo --\n\
7650 eb7bdde776f2 Texinfo fixes John W. Eaton <jwe@octave.org> parents: 7560 diff changeset	734 @deftypefn {Loadable Function} {[@var{Q1}, @var{R1}] =} qrupdate (@var{Q}, @var{R}, @var{u}, @var{v})\n\
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	735 Given a QR@tie{}factorization of a real or complex matrix\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	736 @w{@var{A} = @var{Q}*@var{R}}, @var{Q}@tie{}unitary and\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	737 @var{R}@tie{}upper trapezoidal, return the QR@tie{}factorization\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	738 of @w{@var{A} + @var{u}*@var{v}'}, where @var{u} and @var{v} are\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	739 column vectors (rank-1 update).\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	740 \n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	741 If the matrix @var{Q} is not square, the matrix @var{A} is updated by\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	742 QQ'uv' instead of uv'.\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	743 @seealso{qr, qrinsert, qrdelete}\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	744 @end deftypefn")
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	745 {
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	746 octave_idx_type nargin = args.length ();
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	747 octave_value_list retval;
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	748
7559 07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	749 if (nargin != 4)
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	750 {
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	751 print_usage ();
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	752 return retval;
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	753 }
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	754
7559 07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	755 octave_value argq = args(0);
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	756 octave_value argr = args(1);
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	757 octave_value argu = args(2);
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	758 octave_value argv = args(3);
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	759
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	760 if (argq.is_matrix_type () && argr.is_matrix_type ()
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	761 && argu.is_matrix_type () && argv.is_matrix_type ())
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	762 {
7559 07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	763 octave_idx_type m = argq.rows ();
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	764 octave_idx_type n = argr.columns ();
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	765 octave_idx_type k = argq.columns ();
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	766
7559 07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	767 if (argr.rows () == k
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	768 && argu.rows () == m && argu.columns () == 1
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	769 && argv.rows () == n && argv.columns () == 1)
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	770 {
7559 07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	771 if (argq.is_real_matrix ()
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	772 && argr.is_real_matrix ()
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	773 && argu.is_real_matrix ()
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	774 && argv.is_real_matrix ())
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	775 {
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	776 // all real case
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	777 if (argq.is_single_type ()
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	778 \|\| argr.is_single_type ()
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	779 \|\| argu.is_single_type ()
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	780 \|\| argv.is_single_type ())
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	781 {
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	782 FloatMatrix Q = argq.float_matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	783 FloatMatrix R = argr.float_matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	784 FloatMatrix u = argu.float_matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	785 FloatMatrix v = argv.float_matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	786
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	787 FloatQR fact (Q, R);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	788 fact.update (u, v);
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	789
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	790 retval(1) = fact.R ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	791 retval(0) = fact.Q ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	792 }
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	793 else
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	794 {
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	795 Matrix Q = argq.matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	796 Matrix R = argr.matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	797 Matrix u = argu.matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	798 Matrix v = argv.matrix_value ();
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	799
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	800 QR fact (Q, R);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	801 fact.update (u, v);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	802
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	803 retval(1) = fact.R ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	804 retval(0) = fact.Q ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	805 }
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	806 }
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	807 else
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	808 {
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	809 // complex case
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	810 if (argq.is_single_type ()
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	811 \|\| argr.is_single_type ()
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	812 \|\| argu.is_single_type ()
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	813 \|\| argv.is_single_type ())
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	814 {
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	815 FloatComplexMatrix Q = argq.float_complex_matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	816 FloatComplexMatrix R = argr.float_complex_matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	817 FloatComplexMatrix u = argu.float_complex_matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	818 FloatComplexMatrix v = argv.float_complex_matrix_value ();
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	819
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	820 FloatComplexQR fact (Q, R);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	821 fact.update (u, v);
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	822
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	823 retval(1) = fact.R ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	824 retval(0) = fact.Q ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	825 }
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	826 else
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	827 {
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	828 ComplexMatrix Q = argq.complex_matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	829 ComplexMatrix R = argr.complex_matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	830 ComplexMatrix u = argu.complex_matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	831 ComplexMatrix v = argv.complex_matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	832
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	833 ComplexQR fact (Q, R);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	834 fact.update (u, v);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	835
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	836 retval(1) = fact.R ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	837 retval(0) = fact.Q ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	838 }
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	839 }
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	840 }
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	841 else
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	842 error ("qrupdate: dimensions mismatch");
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	843 }
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	844 else
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	845 print_usage ();
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	846
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	847 return retval;
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	848 }
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	849 /*
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	850 %!shared A, u, v, Ac, uc, vc
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	851 %! A = [0.091364 0.613038 0.999083;
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	852 %! 0.594638 0.425302 0.603537;
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	853 %! 0.383594 0.291238 0.085574;
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	854 %! 0.265712 0.268003 0.238409;
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	855 %! 0.669966 0.743851 0.445057 ];
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	856 %!
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	857 %! u = [0.85082;
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	858 %! 0.76426;
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	859 %! 0.42883;
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	860 %! 0.53010;
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	861 %! 0.80683 ];
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	862 %!
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	863 %! v = [0.98810;
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	864 %! 0.24295;
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	865 %! 0.43167 ];
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	866 %!
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	867 %! Ac = [0.620405 + 0.956953i 0.480013 + 0.048806i 0.402627 + 0.338171i;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	868 %! 0.589077 + 0.658457i 0.013205 + 0.279323i 0.229284 + 0.721929i;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	869 %! 0.092758 + 0.345687i 0.928679 + 0.241052i 0.764536 + 0.832406i;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	870 %! 0.912098 + 0.721024i 0.049018 + 0.269452i 0.730029 + 0.796517i;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	871 %! 0.112849 + 0.603871i 0.486352 + 0.142337i 0.355646 + 0.151496i ];
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	872 %!
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	873 %! uc = [0.20351 + 0.05401i;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	874 %! 0.13141 + 0.43708i;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	875 %! 0.29808 + 0.08789i;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	876 %! 0.69821 + 0.38844i;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	877 %! 0.74871 + 0.25821i ];
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	878 %!
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	879 %! vc = [0.85839 + 0.29468i;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	880 %! 0.20820 + 0.93090i;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	881 %! 0.86184 + 0.34689i ];
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	882 %!
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	883
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	884 %!test
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	885 %! [Q,R] = qr(A);
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	886 %! [Q,R] = qrupdate(Q,R,u,v);
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	887 %! assert(norm(vec(Q'Q - eye(5)),Inf) < 1e1eps)
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	888 %! assert(norm(vec(triu(R)-R),Inf) == 0)
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	889 %! assert(norm(vec(QR - A - uv'),Inf) < norm(A)1e1eps)
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	890 %!
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	891 %!test
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	892 %! [Q,R] = qr(Ac);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	893 %! [Q,R] = qrupdate(Q,R,uc,vc);
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	894 %! assert(norm(vec(Q'Q - eye(5)),Inf) < 1e1eps)
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	895 %! assert(norm(vec(triu(R)-R),Inf) == 0)
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	896 %! assert(norm(vec(QR - Ac - ucvc'),Inf) < norm(Ac)1e1eps)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	897
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	898 %!test
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	899 %! [Q,R] = qr(single(A));
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	900 %! [Q,R] = qrupdate(Q,R,single(u),single(v));
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	901 %! assert(norm(vec(Q'Q - eye(5,'single')),Inf) < 1e1eps('single'))
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	902 %! assert(norm(vec(triu(R)-R),Inf) == 0)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	903 %! assert(norm(vec(QR - single(A) - single(u)single(v)'),Inf) < norm(single(A))1e1eps('single'))
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	904 %!
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	905 %!test
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	906 %! [Q,R] = qr(single(Ac));
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	907 %! [Q,R] = qrupdate(Q,R,single(uc),single(vc));
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	908 %! assert(norm(vec(Q'Q - eye(5,'single')),Inf) < 1e1eps('single'))
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	909 %! assert(norm(vec(triu(R)-R),Inf) == 0)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	910 %! assert(norm(vec(QR - single(Ac) - single(uc)single(vc)'),Inf) < norm(single(Ac))1e1eps('single'))
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	911 */
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	912
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	913 DEFUN_DLD (qrinsert, args, ,
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	914 "-- texinfo --\n\
7650 eb7bdde776f2 Texinfo fixes John W. Eaton <jwe@octave.org> parents: 7560 diff changeset	915 @deftypefn {Loadable Function} {[@var{Q1}, @var{R1}] =} qrinsert (@var{Q}, @var{R}, @var{j}, @var{x}, @var{orient})\n\
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	916 Given a QR@tie{}factorization of a real or complex matrix\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	917 @w{@var{A} = @var{Q}*@var{R}}, @var{Q}@tie{}unitary and\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	918 @var{R}@tie{}upper trapezoidal, return the QR@tie{}factorization of\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	919 @w{[A(:,1:j-1) x A(:,j:n)]}, where @var{u} is a column vector to be\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	920 inserted into @var{A} (if @var{orient} is @code{\"col\"}), or the\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	921 QR@tie{}factorization of @w{[A(1:j-1,:);x;A(:,j:n)]}, where @var{x}\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	922 is a row vector to be inserted into @var{A} (if @var{orient} is\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	923 @code{\"row\"}).\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	924 \n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	925 The default value of @var{orient} is @code{\"col\"}.\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	926 \n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	927 If @var{orient} is @code{\"col\"} and the matrix @var{Q} is not square,\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	928 then what gets inserted is the projection of @var{u} onto the space\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	929 spanned by columns of @var{Q}, i.e. QQ'u.\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	930 \n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	931 If @var{orient} is @code{\"row\"}, @var{Q} must be square.\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	932 @seealso{qr, qrupdate, qrdelete}\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	933 @end deftypefn")
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	934 {
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	935 octave_idx_type nargin = args.length ();
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	936 octave_value_list retval;
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	937
7559 07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	938 if (nargin < 4 \|\| nargin > 5)
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	939 {
7559 07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	940 print_usage ();
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	941 return retval;
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	942 }
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	943
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	944 octave_value argq = args(0);
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	945 octave_value argr = args(1);
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	946 octave_value argj = args(2);
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	947 octave_value argx = args(3);
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	948
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	949 if (argq.is_matrix_type () && argr.is_matrix_type ()
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	950 && argj.is_scalar_type () && argx.is_matrix_type ()
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	951 && (nargin < 5 \|\| args(4).is_string ()))
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	952 {
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	953 octave_idx_type m = argq.rows ();
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	954 octave_idx_type n = argr.columns ();
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	955 octave_idx_type k = argq.columns ();
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	956
7559 07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	957 std::string orient = (nargin < 5) ? "col" : args(4).string_value ();
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	958
7559 07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	959 bool row = orient == "row";
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	960
7559 07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	961 if (row \|\| orient == "col")
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	962 if (argr.rows () == k
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	963 && (! row \|\| m == k)
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	964 && argx.rows () == (row ? 1 : m)
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	965 && argx.columns () == (row ? n : 1))
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	966 {
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	967 octave_idx_type j = argj.idx_type_value ();
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	968
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	969 if (j >= 1 && j <= (row ? n : m)+1)
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	970 {
7559 07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	971 if (argq.is_real_matrix ()
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	972 && argr.is_real_matrix ()
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	973 && argx.is_real_matrix ())
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	974 {
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	975 // real case
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	976 if (argq.is_single_type ()
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	977 \|\| argr.is_single_type ()
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	978 \|\| argx.is_single_type ())
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	979 {
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	980 FloatMatrix Q = argq.float_matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	981 FloatMatrix R = argr.float_matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	982 FloatMatrix x = argx.float_matrix_value ();
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	983
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	984 FloatQR fact (Q, R);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	985
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	986 if (row)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	987 fact.insert_row (x, j-1);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	988 else
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	989 fact.insert_col (x, j-1);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	990
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	991 retval(1) = fact.R ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	992 retval(0) = fact.Q ();
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	993
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	994 }
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	995 else
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	996 {
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	997 Matrix Q = argq.matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	998 Matrix R = argr.matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	999 Matrix x = argx.matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1000
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1001 QR fact (Q, R);
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1002
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1003 if (row)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1004 fact.insert_row (x, j-1);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1005 else
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1006 fact.insert_col (x, j-1);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1007
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1008 retval(1) = fact.R ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1009 retval(0) = fact.Q ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1010
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1011 }
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1012 }
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1013 else
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1014 {
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1015 // complex case
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1016 if (argq.is_single_type ()
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1017 \|\| argr.is_single_type ()
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1018 \|\| argx.is_single_type ())
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1019 {
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1020 FloatComplexMatrix Q = argq.float_complex_matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1021 FloatComplexMatrix R = argr.float_complex_matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1022 FloatComplexMatrix x = argx.float_complex_matrix_value ();
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1023
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1024 FloatComplexQR fact (Q, R);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1025
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1026 if (row)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1027 fact.insert_row (x, j-1);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1028 else
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1029 fact.insert_col (x, j-1);
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1030
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1031 retval(1) = fact.R ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1032 retval(0) = fact.Q ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1033 }
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1034 else
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1035 {
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1036 ComplexMatrix Q = argq.complex_matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1037 ComplexMatrix R = argr.complex_matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1038 ComplexMatrix x = argx.complex_matrix_value ();
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1039
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1040 ComplexQR fact (Q, R);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1041
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1042 if (row)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1043 fact.insert_row (x, j-1);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1044 else
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1045 fact.insert_col (x, j-1);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1046
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1047 retval(1) = fact.R ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1048 retval(0) = fact.Q ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1049 }
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1050 }
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1051
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1052 }
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1053 else
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1054 error ("qrinsert: index j out of range");
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1055 }
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1056 else
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1057 error ("qrinsert: dimension mismatch");
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1058
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1059 else
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1060 error ("qrinsert: orient must be \"col\" or \"row\"");
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1061 }
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1062 else
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1063 print_usage ();
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1064
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1065 return retval;
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1066 }
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1067
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1068 /*
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1069 %!test
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1070 %! [Q,R] = qr(A);
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1071 %! [Q,R] = qrinsert(Q,R,3,u);
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1072 %! assert(norm(vec(Q'Q - eye(5)),Inf) < 1e1eps)
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1073 %! assert(norm(vec(triu(R)-R),Inf) == 0)
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1074 %! assert(norm(vec(QR - [A(:,1:2) u A(:,3)]),Inf) < norm(A)1e1*eps)
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1075 %!test
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1076 %! [Q,R] = qr(Ac);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1077 %! [Q,R] = qrinsert(Q,R,3,uc);
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1078 %! assert(norm(vec(Q'Q - eye(5)),Inf) < 1e1eps)
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1079 %! assert(norm(vec(triu(R)-R),Inf) == 0)
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1080 %! assert(norm(vec(QR - [Ac(:,1:2) uc Ac(:,3)]),Inf) < norm(Ac)1e1*eps)
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1081 %!test
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1082 %! x = [0.85082 0.76426 0.42883 ];
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1083 %!
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1084 %! [Q,R] = qr(A);
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1085 %! [Q,R] = qrinsert(Q,R,3,x,'row');
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1086 %! assert(norm(vec(Q'Q - eye(6)),Inf) < 1e1eps)
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1087 %! assert(norm(vec(triu(R)-R),Inf) == 0)
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1088 %! assert(norm(vec(QR - [A(1:2,:);x;A(3:5,:)]),Inf) < norm(A)1e1*eps)
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1089 %!test
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1090 %! x = [0.20351 + 0.05401i 0.13141 + 0.43708i 0.29808 + 0.08789i ];
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1091 %!
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1092 %! [Q,R] = qr(Ac);
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1093 %! [Q,R] = qrinsert(Q,R,3,x,'row');
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1094 %! assert(norm(vec(Q'Q - eye(6)),Inf) < 1e1eps)
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1095 %! assert(norm(vec(triu(R)-R),Inf) == 0)
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1096 %! assert(norm(vec(QR - [Ac(1:2,:);x;Ac(3:5,:)]),Inf) < norm(Ac)1e1*eps)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1097
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1098 %!test
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1099 %! [Q,R] = qr(single(A));
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1100 %! [Q,R] = qrinsert(Q,R,3,single(u));
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1101 %! assert(norm(vec(Q'Q - eye(5,'single')),Inf) < 1e1eps('single'))
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1102 %! assert(norm(vec(triu(R)-R),Inf) == 0)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1103 %! assert(norm(vec(QR - single([A(:,1:2) u A(:,3)])),Inf) < norm(single(A))1e1*eps('single'))
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1104 %!test
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1105 %! [Q,R] = qr(single(Ac));
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1106 %! [Q,R] = qrinsert(Q,R,3,single(uc));
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1107 %! assert(norm(vec(Q'Q - eye(5,'single')),Inf) < 1e1eps('single'))
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1108 %! assert(norm(vec(triu(R)-R),Inf) == 0)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1109 %! assert(norm(vec(QR - single([Ac(:,1:2) uc Ac(:,3)])),Inf) < norm(single(Ac))1e1*eps('single'))
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1110 %!test
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1111 %! x = single([0.85082 0.76426 0.42883 ]);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1112 %!
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1113 %! [Q,R] = qr(single(A));
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1114 %! [Q,R] = qrinsert(Q,R,3,x,'row');
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1115 %! assert(norm(vec(Q'Q - eye(6,'single')),Inf) < 1e1eps('single'))
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1116 %! assert(norm(vec(triu(R)-R),Inf) == 0)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1117 %! assert(norm(vec(QR - single([A(1:2,:);x;A(3:5,:)])),Inf) < norm(single(A))1e1*eps('single'))
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1118 %!test
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1119 %! x = single([0.20351 + 0.05401i 0.13141 + 0.43708i 0.29808 + 0.08789i ]);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1120 %!
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1121 %! [Q,R] = qr(single(Ac));
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1122 %! [Q,R] = qrinsert(Q,R,3,x,'row');
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1123 %! assert(norm(vec(Q'Q - eye(6,'single')),Inf) < 1e1eps('single'))
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1124 %! assert(norm(vec(triu(R)-R),Inf) == 0)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1125 %! assert(norm(vec(QR - single([Ac(1:2,:);x;Ac(3:5,:)])),Inf) < norm(single(Ac))1e1*eps('single'))
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1126 */
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1127
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1128 DEFUN_DLD (qrdelete, args, ,
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1129 "-- texinfo --\n\
7650 eb7bdde776f2 Texinfo fixes John W. Eaton <jwe@octave.org> parents: 7560 diff changeset	1130 @deftypefn {Loadable Function} {[@var{Q1}, @var{R1}] =} qrdelete (@var{Q}, @var{R}, @var{j}, @var{orient})\n\
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1131 Given a QR@tie{}factorization of a real or complex matrix\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1132 @w{@var{A} = @var{Q}*@var{R}}, @var{Q}@tie{}unitary and\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1133 @var{R}@tie{}upper trapezoidal, return the QR@tie{}factorization of\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1134 @w{[A(:,1:j-1) A(:,j+1:n)]}, i.e. @var{A} with one column deleted\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1135 (if @var{orient} is \"col\"), or the QR@tie{}factorization of\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1136 @w{[A(1:j-1,:);A(:,j+1:n)]}, i.e. @var{A} with one row deleted (if\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1137 @var{orient} is \"row\").\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1138 \n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1139 The default value of @var{orient} is \"col\".\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1140 \n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1141 If @var{orient} is \"col\", the matrix @var{Q} is not required to\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1142 be square.\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1143 \n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1144 For @sc{Matlab} compatibility, if @var{Q} is nonsquare on input, the\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1145 updated factorization is always stripped to the economical form, i.e.\n\
7559 07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	1146 @code{columns (Q) == rows (R) <= columns (R)}.\n\
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1147 \n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1148 To get the less intelligent but more natural behaviour when @var{Q}\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1149 retains it shape and @var{R} loses one column, set @var{orient} to\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1150 \"col+\" instead.\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1151 \n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1152 If @var{orient} is \"row\", @var{Q} must be square.\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1153 @seealso{qr, qrinsert, qrupdate}\n\
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1154 @end deftypefn")
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1155 {
7559 07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	1156 octave_idx_type nargin = args.length ();
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1157 octave_value_list retval;
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1158
7559 07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	1159 if (nargin < 3 \|\| nargin > 4)
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	1160 {
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	1161 print_usage ();
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	1162 return retval;
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	1163 }
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1164
7559 07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	1165 octave_value argq = args(0);
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	1166 octave_value argr = args(1);
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	1167 octave_value argj = args(2);
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1168
7559 07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	1169 if (argq.is_matrix_type () && argr.is_matrix_type () && argj.is_scalar_type ()
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	1170 && (nargin < 4 \|\| args(3).is_string ()))
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	1171 {
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	1172 octave_idx_type m = argq.rows ();
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	1173 octave_idx_type k = argq.columns ();
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	1174 octave_idx_type n = argr.columns ();
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1175
7559 07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	1176 std::string orient = (nargin < 4) ? "col" : args(3).string_value ();
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1177
7559 07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	1178 bool row = orient == "row";
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	1179 bool colp = orient == "col+";
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	1180
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	1181 if (row \|\| colp \|\| orient == "col")
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	1182 if (argr.rows () == k
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	1183 && (! row \|\| m == k))
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1184 {
7559 07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	1185 octave_idx_type j = argj.scalar_value ();
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	1186 if (j >= 1 && j <= (row ? n : m))
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1187 {
7559 07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	1188 if (argq.is_real_matrix ()
07522d7dcdf8 fixes to QR and Cholesky updating code Jaroslav Hajek <highegg@gmail.com> parents: 7554 diff changeset	1189 && argr.is_real_matrix ())
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1190 {
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1191 // real case
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1192 if (argq.is_single_type ()
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1193 \|\| argr.is_single_type ())
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1194 {
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1195 FloatMatrix Q = argq.float_matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1196 FloatMatrix R = argr.float_matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1197
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1198 FloatQR fact (Q, R);
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1199
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1200 if (row)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1201 fact.delete_row (j-1);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1202 else
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1203 {
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1204 fact.delete_col (j-1);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1205
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1206 if (! colp && k < m)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1207 fact.economize ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1208 }
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1209
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1210 retval(1) = fact.R ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1211 retval(0) = fact.Q ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1212 }
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1213 else
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1214 {
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1215 Matrix Q = argq.matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1216 Matrix R = argr.matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1217
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1218 QR fact (Q, R);
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1219
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1220 if (row)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1221 fact.delete_row (j-1);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1222 else
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1223 {
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1224 fact.delete_col (j-1);
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1225
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1226 if (! colp && k < m)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1227 fact.economize ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1228 }
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1229
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1230 retval(1) = fact.R ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1231 retval(0) = fact.Q ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1232 }
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1233 }
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1234 else
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1235 {
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1236 // complex case
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1237 if (argq.is_single_type ()
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1238 \|\| argr.is_single_type ())
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1239 {
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1240 FloatComplexMatrix Q = argq.float_complex_matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1241 FloatComplexMatrix R = argr.float_complex_matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1242
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1243 FloatComplexQR fact (Q, R);
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1244
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1245 if (row)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1246 fact.delete_row (j-1);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1247 else
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1248 {
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1249 fact.delete_col (j-1);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1250
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1251 if (! colp && k < m)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1252 fact.economize ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1253 }
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1254
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1255 retval(1) = fact.R ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1256 retval(0) = fact.Q ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1257 }
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1258 else
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1259 {
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1260 ComplexMatrix Q = argq.complex_matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1261 ComplexMatrix R = argr.complex_matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1262
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1263 ComplexQR fact (Q, R);
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1264
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1265 if (row)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1266 fact.delete_row (j-1);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1267 else
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1268 {
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1269 fact.delete_col (j-1);
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1270
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1271 if (! colp && k < m)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1272 fact.economize ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1273 }
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1274
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1275 retval(1) = fact.R ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1276 retval(0) = fact.Q ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1277 }
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1278 }
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1279 }
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1280 else
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1281 error ("qrdelete: index j out of range");
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1282 }
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1283 else
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1284 error ("qrdelete: dimension mismatch");
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1285
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1286 else
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1287 error ("qrdelete: orient must be \"col\" or \"row\"");
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1288 }
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1289 else
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1290 print_usage ();
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1291
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1292 return retval;
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1293 }
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1294
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1295 /*
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1296 %!test
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1297 %! AA = [0.091364 0.613038 0.027504 0.999083;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1298 %! 0.594638 0.425302 0.562834 0.603537;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1299 %! 0.383594 0.291238 0.742073 0.085574;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1300 %! 0.265712 0.268003 0.783553 0.238409;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1301 %! 0.669966 0.743851 0.457255 0.445057 ];
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1302 %!
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1303 %! [Q,R] = qr(AA);
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1304 %! [Q,R] = qrdelete(Q,R,3);
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1305 %! assert(norm(vec(Q'Q - eye(5)),Inf) < 1e1eps)
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1306 %! assert(norm(vec(triu(R)-R),Inf) == 0)
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1307 %! assert(norm(vec(QR - [AA(:,1:2) AA(:,4)]),Inf) < norm(AA)1e1*eps)
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1308 %!
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1309 %!test
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1310 %! AA = [0.364554 + 0.993117i 0.669818 + 0.510234i 0.426568 + 0.041337i 0.847051 + 0.233291i;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1311 %! 0.049600 + 0.242783i 0.448946 + 0.484022i 0.141155 + 0.074420i 0.446746 + 0.392706i;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1312 %! 0.581922 + 0.657416i 0.581460 + 0.030016i 0.219909 + 0.447288i 0.201144 + 0.069132i;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1313 %! 0.694986 + 0.000571i 0.682327 + 0.841712i 0.807537 + 0.166086i 0.192767 + 0.358098i;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1314 %! 0.945002 + 0.066788i 0.350492 + 0.642638i 0.579629 + 0.048102i 0.600170 + 0.636938i ] * I;
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1315 %!
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1316 %! [Q,R] = qr(AA);
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1317 %! [Q,R] = qrdelete(Q,R,3);
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1318 %! assert(norm(vec(Q'Q - eye(5)),Inf) < 1e1eps)
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1319 %! assert(norm(vec(triu(R)-R),Inf) == 0)
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1320 %! assert(norm(vec(QR - [AA(:,1:2) AA(:,4)]),Inf) < norm(AA)1e1*eps)
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1321 %!
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1322 %!test
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1323 %! AA = [0.091364 0.613038 0.027504 0.999083;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1324 %! 0.594638 0.425302 0.562834 0.603537;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1325 %! 0.383594 0.291238 0.742073 0.085574;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1326 %! 0.265712 0.268003 0.783553 0.238409;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1327 %! 0.669966 0.743851 0.457255 0.445057 ];
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1328 %!
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1329 %! [Q,R] = qr(AA);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1330 %! [Q,R] = qrdelete(Q,R,3,'row');
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1331 %! assert(norm(vec(Q'Q - eye(4)),Inf) < 1e1eps)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1332 %! assert(norm(vec(triu(R)-R),Inf) == 0)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1333 %! assert(norm(vec(QR - [AA(1:2,:);AA(4:5,:)]),Inf) < norm(AA)1e1*eps)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1334 %!
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1335 %!test
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1336 %! AA = [0.364554 + 0.993117i 0.669818 + 0.510234i 0.426568 + 0.041337i 0.847051 + 0.233291i;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1337 %! 0.049600 + 0.242783i 0.448946 + 0.484022i 0.141155 + 0.074420i 0.446746 + 0.392706i;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1338 %! 0.581922 + 0.657416i 0.581460 + 0.030016i 0.219909 + 0.447288i 0.201144 + 0.069132i;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1339 %! 0.694986 + 0.000571i 0.682327 + 0.841712i 0.807537 + 0.166086i 0.192767 + 0.358098i;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1340 %! 0.945002 + 0.066788i 0.350492 + 0.642638i 0.579629 + 0.048102i 0.600170 + 0.636938i ] * I;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1341 %!
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1342 %! [Q,R] = qr(AA);
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1343 %! [Q,R] = qrdelete(Q,R,3,'row');
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1344 %! assert(norm(vec(Q'Q - eye(4)),Inf) < 1e1eps)
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1345 %! assert(norm(vec(triu(R)-R),Inf) == 0)
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1346 %! assert(norm(vec(QR - [AA(1:2,:);AA(4:5,:)]),Inf) < norm(AA)1e1*eps)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1347
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1348 %!test
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1349 %! AA = single([0.091364 0.613038 0.027504 0.999083;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1350 %! 0.594638 0.425302 0.562834 0.603537;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1351 %! 0.383594 0.291238 0.742073 0.085574;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1352 %! 0.265712 0.268003 0.783553 0.238409;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1353 %! 0.669966 0.743851 0.457255 0.445057 ]);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1354 %!
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1355 %! [Q,R] = qr(AA);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1356 %! [Q,R] = qrdelete(Q,R,3);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1357 %! assert(norm(vec(Q'Q - eye(5,'single')),Inf) < 1e1eps('single'))
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1358 %! assert(norm(vec(triu(R)-R),Inf) == 0)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1359 %! assert(norm(vec(QR - [AA(:,1:2) AA(:,4)]),Inf) < norm(AA)1e1*eps('single'))
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1360 %!
56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1361 %!test
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1362 %! AA = single([0.364554 + 0.993117i 0.669818 + 0.510234i 0.426568 + 0.041337i 0.847051 + 0.233291i;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1363 %! 0.049600 + 0.242783i 0.448946 + 0.484022i 0.141155 + 0.074420i 0.446746 + 0.392706i;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1364 %! 0.581922 + 0.657416i 0.581460 + 0.030016i 0.219909 + 0.447288i 0.201144 + 0.069132i;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1365 %! 0.694986 + 0.000571i 0.682327 + 0.841712i 0.807537 + 0.166086i 0.192767 + 0.358098i;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1366 %! 0.945002 + 0.066788i 0.350492 + 0.642638i 0.579629 + 0.048102i 0.600170 + 0.636938i ]) * I;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1367 %!
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1368 %! [Q,R] = qr(AA);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1369 %! [Q,R] = qrdelete(Q,R,3);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1370 %! assert(norm(vec(Q'Q - eye(5,'single')),Inf) < 1e1eps('single'))
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1371 %! assert(norm(vec(triu(R)-R),Inf) == 0)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1372 %! assert(norm(vec(QR - [AA(:,1:2) AA(:,4)]),Inf) < norm(AA)1e1*eps('single'))
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1373 %!
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1374 %!test
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1375 %! AA = single([0.091364 0.613038 0.027504 0.999083;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1376 %! 0.594638 0.425302 0.562834 0.603537;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1377 %! 0.383594 0.291238 0.742073 0.085574;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1378 %! 0.265712 0.268003 0.783553 0.238409;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1379 %! 0.669966 0.743851 0.457255 0.445057 ]);
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1380 %!
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1381 %! [Q,R] = qr(AA);
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1382 %! [Q,R] = qrdelete(Q,R,3,'row');
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1383 %! assert(norm(vec(Q'Q - eye(4,'single')),Inf) < 1e1eps('single'))
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1384 %! assert(norm(vec(triu(R)-R),Inf) == 0)
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1385 %! assert(norm(vec(QR - [AA(1:2,:);AA(4:5,:)]),Inf) < norm(AA)1e1*eps('single'))
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1386 %!
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1387 %!test
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1388 %! AA = single([0.364554 + 0.993117i 0.669818 + 0.510234i 0.426568 + 0.041337i 0.847051 + 0.233291i;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1389 %! 0.049600 + 0.242783i 0.448946 + 0.484022i 0.141155 + 0.074420i 0.446746 + 0.392706i;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1390 %! 0.581922 + 0.657416i 0.581460 + 0.030016i 0.219909 + 0.447288i 0.201144 + 0.069132i;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1391 %! 0.694986 + 0.000571i 0.682327 + 0.841712i 0.807537 + 0.166086i 0.192767 + 0.358098i;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1392 %! 0.945002 + 0.066788i 0.350492 + 0.642638i 0.579629 + 0.048102i 0.600170 + 0.636938i ]) * I;
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1393 %!
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1394 %! [Q,R] = qr(AA);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1395 %! [Q,R] = qrdelete(Q,R,3,'row');
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1396 %! assert(norm(vec(Q'Q - eye(4,'single')),Inf) < 1e1eps('single'))
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1397 %! assert(norm(vec(triu(R)-R),Inf) == 0)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1398 %! assert(norm(vec(QR - [AA(1:2,:);AA(4:5,:)]),Inf) < norm(AA)1e1*eps('single'))
7553 56be6f31dd4e implementation of QR factorization updating Jaroslav Hajek <highegg@gmail.com> parents: 7505 diff changeset	1399 */
7505 f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	1400
7700 efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1401 DEFUN_DLD (qrshift, args, ,
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1402 "-- texinfo --\n\
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1403 @deftypefn {Loadable Function} {[@var{Q1}, @var{R1}] =} qrshift (@var{Q}, @var{R}, @var{i}, @var{j})\n\
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1404 Given a QR@tie{}factorization of a real or complex matrix\n\
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1405 @w{@var{A} = @var{Q}*@var{R}}, @var{Q}@tie{}unitary and\n\
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1406 @var{R}@tie{}upper trapezoidal, return the QR@tie{}factorization\n\
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1407 of @w{@var{A}(:,p)}, where @w{p} is the permutation @*\n\
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1408 @code{p = [1:i-1, shift(i:j, 1), j+1:n]} if @w{@var{i} < @var{j}} @*\n\
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1409 or @*\n\
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1410 @code{p = [1:j-1, shift(j:i,-1), i+1:n]} if @w{@var{j} < @var{i}}. @*\n\
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1411 \n\
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1412 @seealso{qr, qrinsert, qrdelete}\n\
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1413 @end deftypefn")
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1414 {
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1415 octave_idx_type nargin = args.length ();
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1416 octave_value_list retval;
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1417
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1418 if (nargin != 4)
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1419 {
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1420 print_usage ();
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1421 return retval;
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1422 }
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1423
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1424 octave_value argq = args(0);
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1425 octave_value argr = args(1);
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1426 octave_value argi = args(2);
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1427 octave_value argj = args(3);
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1428
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1429 if (argq.is_matrix_type () && argr.is_matrix_type ()
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1430 && argi.is_real_scalar () && argj.is_real_scalar ())
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1431 {
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1432 octave_idx_type m = argq.rows ();
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1433 octave_idx_type n = argr.columns ();
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1434 octave_idx_type k = argq.columns ();
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1435
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1436 if (argr.rows () == k)
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1437 {
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1438 octave_idx_type i = argi.scalar_value ();
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1439 octave_idx_type j = argj.scalar_value ();
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1440 if (i > 1 && i <= n && j > 1 && j <= n)
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1441 {
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1442 if (argq.is_real_matrix ()
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1443 && argr.is_real_matrix ())
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1444 {
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1445 // all real case
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1446 if (argq.is_single_type ()
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1447 && argr.is_single_type ())
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1448 {
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1449 FloatMatrix Q = argq.float_matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1450 FloatMatrix R = argr.float_matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1451
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1452 FloatQR fact (Q, R);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1453 fact.shift_cols (i-1, j-1);
7700 efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1454
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1455 retval(1) = fact.R ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1456 retval(0) = fact.Q ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1457 }
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1458 else
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1459 {
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1460 Matrix Q = argq.matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1461 Matrix R = argr.matrix_value ();
7700 efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1462
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1463 QR fact (Q, R);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1464 fact.shift_cols (i-1, j-1);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1465
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1466 retval(1) = fact.R ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1467 retval(0) = fact.Q ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1468 }
7700 efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1469 }
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1470 else
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1471 {
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1472 // complex case
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1473 if (argq.is_single_type ()
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1474 && argr.is_single_type ())
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1475 {
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1476 FloatComplexMatrix Q = argq.float_complex_matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1477 FloatComplexMatrix R = argr.float_complex_matrix_value ();
7700 efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1478
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1479 FloatComplexQR fact (Q, R);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1480 fact.shift_cols (i-1, j-1);
7700 efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1481
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1482 retval(1) = fact.R ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1483 retval(0) = fact.Q ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1484 }
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1485 else
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1486 {
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1487 ComplexMatrix Q = argq.complex_matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1488 ComplexMatrix R = argr.complex_matrix_value ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1489
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1490 ComplexQR fact (Q, R);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1491 fact.shift_cols (i-1, j-1);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1492
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1493 retval(1) = fact.R ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1494 retval(0) = fact.Q ();
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1495 }
7700 efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1496 }
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1497 }
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1498 else
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1499 error ("qrshift: index out of range");
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1500 }
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1501 else
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1502 error ("qrshift: dimensions mismatch");
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1503 }
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1504 else
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1505 print_usage ();
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1506
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1507 return retval;
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1508 }
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1509 /*
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1510 %!test
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1511 %! AA = A.';
7700 efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1512 %! i = 2; j = 4; p = [1:i-1, shift(i:j,-1), j+1:5];
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1513 %!
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1514 %! [Q,R] = qr(AA);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1515 %! [Q,R] = qrshift(Q,R,i,j);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1516 %! assert(norm(vec(Q'Q - eye(3)),Inf) < 1e1eps)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1517 %! assert(norm(vec(triu(R)-R),Inf) == 0)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1518 %! assert(norm(vec(QR - AA(:,p)),Inf) < norm(AA)1e1*eps)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1519 %!
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1520 %! j = 2; i = 4; p = [1:j-1, shift(j:i,+1), i+1:5];
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1521 %!
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1522 %! [Q,R] = qr(AA);
7700 efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1523 %! [Q,R] = qrshift(Q,R,i,j);
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1524 %! assert(norm(vec(Q'Q - eye(3)),Inf) < 1e1eps)
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1525 %! assert(norm(vec(triu(R)-R),Inf) == 0)
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1526 %! assert(norm(vec(QR - AA(:,p)),Inf) < norm(AA)1e1*eps)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1527 %!
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1528 %!test
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1529 %! AA = Ac.';
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1530 %! i = 2; j = 4; p = [1:i-1, shift(i:j,-1), j+1:5];
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1531 %!
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1532 %! [Q,R] = qr(AA);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1533 %! [Q,R] = qrshift(Q,R,i,j);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1534 %! assert(norm(vec(Q'Q - eye(3)),Inf) < 1e1eps)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1535 %! assert(norm(vec(triu(R)-R),Inf) == 0)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1536 %! assert(norm(vec(QR - AA(:,p)),Inf) < norm(AA)1e1*eps)
7700 efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1537 %!
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1538 %! j = 2; i = 4; p = [1:j-1, shift(j:i,+1), i+1:5];
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1539 %!
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1540 %! [Q,R] = qr(AA);
7700 efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1541 %! [Q,R] = qrshift(Q,R,i,j);
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1542 %! assert(norm(vec(Q'Q - eye(3)),Inf) < 1e1eps)
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1543 %! assert(norm(vec(triu(R)-R),Inf) == 0)
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1544 %! assert(norm(vec(QR - AA(:,p)),Inf) < norm(AA)1e1*eps)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1545
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1546
7700 efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1547 %!test
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1548 %! AA = single (A).';
7700 efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1549 %! i = 2; j = 4; p = [1:i-1, shift(i:j,-1), j+1:5];
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1550 %!
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1551 %! [Q,R] = qr(AA);
7700 efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1552 %! [Q,R] = qrshift(Q,R,i,j);
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1553 %! assert(norm(vec(Q'Q - eye(3,'single')),Inf) < 1e1eps('single'))
7700 efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1554 %! assert(norm(vec(triu(R)-R),Inf) == 0)
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1555 %! assert(norm(vec(QR - AA(:,p)),Inf) < norm(AA)1e1*eps('single'))
7700 efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1556 %!
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1557 %! j = 2; i = 4; p = [1:j-1, shift(j:i,+1), i+1:5];
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1558 %!
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1559 %! [Q,R] = qr(AA);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1560 %! [Q,R] = qrshift(Q,R,i,j);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1561 %! assert(norm(vec(Q'Q - eye(3,'single')),Inf) < 1e1eps('single'))
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1562 %! assert(norm(vec(triu(R)-R),Inf) == 0)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1563 %! assert(norm(vec(QR - AA(:,p)),Inf) < norm(AA)1e1*eps('single'))
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1564 %!
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1565 %!test
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1566 %! AA = single(Ac).';
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1567 %! i = 2; j = 4; p = [1:i-1, shift(i:j,-1), j+1:5];
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1568 %!
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1569 %! [Q,R] = qr(AA);
7700 efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1570 %! [Q,R] = qrshift(Q,R,i,j);
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1571 %! assert(norm(vec(Q'Q - eye(3,'single')),Inf) < 1e1eps('single'))
7700 efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1572 %! assert(norm(vec(triu(R)-R),Inf) == 0)
7886 e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1573 %! assert(norm(vec(QR - AA(:,p)),Inf) < norm(AA)1e1*eps('single'))
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1574 %!
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1575 %! j = 2; i = 4; p = [1:j-1, shift(j:i,+1), i+1:5];
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1576 %!
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1577 %! [Q,R] = qr(AA);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1578 %! [Q,R] = qrshift(Q,R,i,j);
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1579 %! assert(norm(vec(Q'Q - eye(3,'single')),Inf) < 1e1eps('single'))
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1580 %! assert(norm(vec(triu(R)-R),Inf) == 0)
e3e94982dfd4 Convert qrshift, qrinsert, qrdelete, qrupdate to allow single precision arguments David Bateman <dbateman@free.fr> parents: 7814 diff changeset	1581 %! assert(norm(vec(QR - AA(:,p)),Inf) < norm(AA)1e1*eps('single'))
7700 efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1582 */
efccca5f2ad7 more QR & Cholesky updating functions Jaroslav Hajek <highegg@gmail.com> parents: 7650 diff changeset	1583
7505 f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions David Bateman <dbateman@free.fr> parents: 7491 diff changeset	1584 /*
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	1585 ;;; Local Variables: ***
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	1586 ;;; mode: C++ ***
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	1587 ;;; End: ***
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	1588 */

Mercurial > octave-antonio

annotate src/DLD-FUNCTIONS/qr.cc @ 7886:e3e94982dfd4