octave-nkf: src/DLD-FUNCTIONS/qz.cc annotate

annotate src/DLD-FUNCTIONS/qz.cc @ 10350:12884915a8e4

merge MArray classes & improve Array interface

author	Jaroslav Hajek <highegg@gmail.com>
date	Sat, 23 Jan 2010 21:41:03 +0100
parents	a217e1d74353
children	3140cb7a05a1

rev	line source
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1 /*
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	2
8920 eb63fbe60fab update copyright notices John W. Eaton <jwe@octave.org> parents: 8517 diff changeset	3 Copyright (C) 1998, 1999, 2000, 2002, 2003, 2004, 2005, 2006, 2007,
eb63fbe60fab update copyright notices John W. Eaton <jwe@octave.org> parents: 8517 diff changeset	4 2008, 2009 A. S. Hodel
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	5
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	6 This file is part of Octave.
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	7
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	8 Octave is free software; you can redistribute it and/or modify it
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	9 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: 5823 diff changeset	10 Free Software Foundation; either version 3 of the License, or (at your
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 5823 diff changeset	11 option) any later version.
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	12
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	13 Octave is distributed in the hope that it will be useful, but WITHOUT
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	16 for more details.
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	17
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	18 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: 5823 diff changeset	19 along with Octave; see the file COPYING. If not, see
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 5823 diff changeset	20 <http://www.gnu.org/licenses/>.
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	21
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	22 */
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	23
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	24 // Generalized eigenvalue balancing via LAPACK
3911 8389e78e67d4 [project @ 2002-04-28 02:15:38 by jwe] jwe parents: 3887 diff changeset	25
8389e78e67d4 [project @ 2002-04-28 02:15:38 by jwe] jwe parents: 3887 diff changeset	26 // Author: A. S. Hodel <scotte@eng.auburn.edu>
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	27
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	28 #undef DEBUG
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	29 #undef DEBUG_SORT
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	30 #undef DEBUG_EIG
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	31
9786 2c279308f6ab fix includes in some src/DLD-FUNCTIONS files John W. Eaton <jwe@octave.org> parents: 9758 diff changeset	32 #ifdef HAVE_CONFIG_H
2c279308f6ab fix includes in some src/DLD-FUNCTIONS files John W. Eaton <jwe@octave.org> parents: 9758 diff changeset	33 #include <config.h>
2c279308f6ab fix includes in some src/DLD-FUNCTIONS files John W. Eaton <jwe@octave.org> parents: 9758 diff changeset	34 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	35
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	36 #include <cfloat>
4051 b79da8779a0e [project @ 2002-08-17 19:38:32 by jwe] jwe parents: 3911 diff changeset	37
3523 b80bbb43a1a9 [project @ 2000-02-02 10:25:52 by jwe] jwe parents: 3500 diff changeset	38 #include <iostream>
4051 b79da8779a0e [project @ 2002-08-17 19:38:32 by jwe] jwe parents: 3911 diff changeset	39 #include <iomanip>
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	40
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	41 #include "CmplxQRP.h"
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	42 #include "CmplxQR.h"
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	43 #include "dbleQR.h"
4153 6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4051 diff changeset	44 #include "f77-fcn.h"
7231 2eb392d058bb [project @ 2007-11-30 18:53:29 by jwe] jwe parents: 7017 diff changeset	45 #include "lo-math.h"
4153 6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4051 diff changeset	46 #include "quit.h"
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4051 diff changeset	47
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	48 #include "defun-dld.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	49 #include "error.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	50 #include "gripes.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	51 #include "oct-obj.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	52 #include "oct-map.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	53 #include "ov.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	54 #include "pager.h"
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	55 #if defined (DEBUG) \|\| defined (DEBUG_SORT)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	56 #include "pr-output.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	57 #endif
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	58 #include "symtab.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	59 #include "utils.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	60 #include "variables.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	61
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	62 typedef octave_idx_type (*sort_function) (const octave_idx_type& LSIZE, const double& ALPHA,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	63 const double& BETA, const double& S,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	64 const double& P);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	65
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	66 extern "C"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	67 {
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	68 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	69 F77_FUNC (dggbal, DGGBAL) (F77_CONST_CHAR_ARG_DECL,
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	70 const octave_idx_type& N, double* A,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	71 const octave_idx_type& LDA, double* B,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	72 const octave_idx_type& LDB, octave_idx_type& ILO,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	73 octave_idx_type& IHI, double* LSCALE,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	74 double* RSCALE, double* WORK,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	75 octave_idx_type& INFO
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	76 F77_CHAR_ARG_LEN_DECL);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	77
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	78 F77_RET_T
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	79 F77_FUNC (zggbal, ZGGBAL) (F77_CONST_CHAR_ARG_DECL,
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	80 const octave_idx_type& N, Complex* A,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	81 const octave_idx_type& LDA, Complex* B,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	82 const octave_idx_type& LDB, octave_idx_type& ILO,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	83 octave_idx_type& IHI, double* LSCALE,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	84 double* RSCALE, double* WORK,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	85 octave_idx_type& INFO
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	86 F77_CHAR_ARG_LEN_DECL);
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	87
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	88 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	89 F77_FUNC (dggbak, DGGBAK) (F77_CONST_CHAR_ARG_DECL,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	90 F77_CONST_CHAR_ARG_DECL,
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	91 const octave_idx_type& N,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	92 const octave_idx_type& ILO,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	93 const octave_idx_type& IHI,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	94 const double* LSCALE, const double* RSCALE,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	95 octave_idx_type& M, double* V,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	96 const octave_idx_type& LDV, octave_idx_type& INFO
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	97 F77_CHAR_ARG_LEN_DECL
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	98 F77_CHAR_ARG_LEN_DECL);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	99
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	100 F77_RET_T
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	101 F77_FUNC (zggbak, ZGGBAK) (F77_CONST_CHAR_ARG_DECL,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	102 F77_CONST_CHAR_ARG_DECL,
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	103 const octave_idx_type& N,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	104 const octave_idx_type& ILO,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	105 const octave_idx_type& IHI,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	106 const double* LSCALE, const double* RSCALE,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	107 octave_idx_type& M, Complex* V,
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	108 const octave_idx_type& LDV, octave_idx_type& INFO
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	109 F77_CHAR_ARG_LEN_DECL
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	110 F77_CHAR_ARG_LEN_DECL);
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	111
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	112 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	113 F77_FUNC (dgghrd, DGGHRD) (F77_CONST_CHAR_ARG_DECL,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	114 F77_CONST_CHAR_ARG_DECL,
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	115 const octave_idx_type& N,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	116 const octave_idx_type& ILO,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	117 const octave_idx_type& IHI, double* A,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	118 const octave_idx_type& LDA, double* B,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	119 const octave_idx_type& LDB, double* Q,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	120 const octave_idx_type& LDQ, double* Z,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	121 const octave_idx_type& LDZ, octave_idx_type& INFO
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	122 F77_CHAR_ARG_LEN_DECL
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	123 F77_CHAR_ARG_LEN_DECL);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	124
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	125 F77_RET_T
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	126 F77_FUNC (zgghrd, ZGGHRD) (F77_CONST_CHAR_ARG_DECL,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	127 F77_CONST_CHAR_ARG_DECL,
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	128 const octave_idx_type& N,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	129 const octave_idx_type& ILO,
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	130 const octave_idx_type& IHI, Complex* A,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	131 const octave_idx_type& LDA, Complex* B,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	132 const octave_idx_type& LDB, Complex* Q,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	133 const octave_idx_type& LDQ, Complex* Z,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	134 const octave_idx_type& LDZ, octave_idx_type& INFO
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	135 F77_CHAR_ARG_LEN_DECL
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	136 F77_CHAR_ARG_LEN_DECL);
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	137
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	138 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	139 F77_FUNC (dhgeqz, DHGEQZ) (F77_CONST_CHAR_ARG_DECL,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	140 F77_CONST_CHAR_ARG_DECL,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	141 F77_CONST_CHAR_ARG_DECL,
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	142 const octave_idx_type& N,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	143 const octave_idx_type& ILO,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	144 const octave_idx_type& IHI,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	145 double* A, const octave_idx_type& LDA, double* B,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	146 const octave_idx_type& LDB, double* ALPHAR,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	147 double* ALPHAI, double* BETA, double* Q,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	148 const octave_idx_type& LDQ, double* Z,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	149 const octave_idx_type& LDZ, double* WORK,
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	150 const octave_idx_type& LWORK,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	151 octave_idx_type& INFO
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	152 F77_CHAR_ARG_LEN_DECL
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	153 F77_CHAR_ARG_LEN_DECL
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	154 F77_CHAR_ARG_LEN_DECL);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	155
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	156 F77_RET_T
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	157 F77_FUNC (zhgeqz, ZHGEQZ) (F77_CONST_CHAR_ARG_DECL,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	158 F77_CONST_CHAR_ARG_DECL,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	159 F77_CONST_CHAR_ARG_DECL,
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	160 const octave_idx_type& N,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	161 const octave_idx_type& ILO,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	162 const octave_idx_type& IHI,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	163 Complex* A, const octave_idx_type& LDA,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	164 Complex* B, const octave_idx_type& LDB,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	165 Complex* ALPHA, Complex* BETA, Complex* CQ,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	166 const octave_idx_type& LDQ,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	167 Complex* CZ, const octave_idx_type& LDZ,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	168 Complex* WORK, const octave_idx_type& LWORK,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	169 double* RWORK, octave_idx_type& INFO
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	170 F77_CHAR_ARG_LEN_DECL
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	171 F77_CHAR_ARG_LEN_DECL
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	172 F77_CHAR_ARG_LEN_DECL);
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	173
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	174 F77_RET_T
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	175 F77_FUNC (dlag2, DLAG2) (const double* A, const octave_idx_type& LDA,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	176 const double* B, const octave_idx_type& LDB,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	177 const double& SAFMIN, double& SCALE1,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	178 double& SCALE2, double& WR1, double& WR2,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	179 double& WI);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	180
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	181 // Van Dooren's code (netlib.org: toms/590) for reordering
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	182 // GEP. Only processes Z, not Q.
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	183 F77_RET_T
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	184 F77_FUNC (dsubsp, DSUBSP) (const octave_idx_type& NMAX,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	185 const octave_idx_type& N, double* A,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	186 double* B, double* Z, sort_function,
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	187 const double& EPS, octave_idx_type& NDIM,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	188 octave_idx_type& FAIL, octave_idx_type* IND);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	189
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	190 // Documentation for DTGEVC incorrectly states that VR, VL are
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	191 // complex*16; they are declared in DTGEVC as double precision
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	192 // (probably a cut and paste problem fro ZTGEVC).
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	193 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	194 F77_FUNC (dtgevc, DTGEVC) (F77_CONST_CHAR_ARG_DECL,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	195 F77_CONST_CHAR_ARG_DECL,
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	196 octave_idx_type* SELECT,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	197 const octave_idx_type& N, double* A,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	198 const octave_idx_type& LDA, double* B,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	199 const octave_idx_type& LDB, double* VL,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	200 const octave_idx_type& LDVL, double* VR,
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	201 const octave_idx_type& LDVR,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	202 const octave_idx_type& MM, octave_idx_type& M,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	203 double* WORK, octave_idx_type& INFO
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	204 F77_CHAR_ARG_LEN_DECL
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	205 F77_CHAR_ARG_LEN_DECL);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	206
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	207 F77_RET_T
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	208 F77_FUNC (ztgevc, ZTGEVC) (F77_CONST_CHAR_ARG_DECL,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	209 F77_CONST_CHAR_ARG_DECL,
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	210 octave_idx_type* SELECT,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	211 const octave_idx_type& N, const Complex* A,
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	212 const octave_idx_type& LDA,const Complex* B,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	213 const octave_idx_type& LDB, Complex* xVL,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	214 const octave_idx_type& LDVL, Complex* xVR,
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	215 const octave_idx_type& LDVR,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	216 const octave_idx_type& MM, octave_idx_type& M,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	217 Complex* CWORK, double* RWORK,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	218 octave_idx_type& INFO
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	219 F77_CHAR_ARG_LEN_DECL
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	220 F77_CHAR_ARG_LEN_DECL);
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	221
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	222 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	223 F77_FUNC (xdlamch, XDLAMCH) (F77_CONST_CHAR_ARG_DECL,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	224 double& retval
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	225 F77_CHAR_ARG_LEN_DECL);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	226
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	227 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	228 F77_FUNC (xdlange, XDLANGE) (F77_CONST_CHAR_ARG_DECL,
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	229 const octave_idx_type&,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	230 const octave_idx_type&, const double*,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	231 const octave_idx_type&, double*, double&
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	232 F77_CHAR_ARG_LEN_DECL);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	233 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	234
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	235 // fcrhp, fin, fout, folhp:
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	236 // routines for ordering of generalized eigenvalues
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	237 // return 1 if test is passed, 0 otherwise
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	238 // fin: \|lambda\| < 1
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	239 // fout: \|lambda\| >= 1
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	240 // fcrhp: real(lambda) >= 0
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	241 // folhp: real(lambda) < 0
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	242
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	243 static octave_idx_type
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	244 fcrhp (const octave_idx_type& lsize, const double& alpha,
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	245 const double& beta, const double& s, const double&)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	246 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	247 if (lsize == 1)
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	248 return (alpha * beta >= 0 ? 1 : -1);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	249 else
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	250 return (s >= 0 ? 1 : -1);
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	251 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	252
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	253 static octave_idx_type
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	254 fin (const octave_idx_type& lsize, const double& alpha,
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	255 const double& beta, const double&, const double& p)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	256 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	257 octave_idx_type retval;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	258
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	259 if (lsize == 1)
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	260 retval = (fabs (alpha) < fabs (beta) ? 1 : -1);
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	261 else
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	262 retval = (fabs (p) < 1 ? 1 : -1);
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	263
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	264 #ifdef DEBUG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	265 std::cout << "qz: fin: retval=" << retval << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	266 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	267
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	268 return retval;
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	269 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	270
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	271 static octave_idx_type
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	272 folhp (const octave_idx_type& lsize, const double& alpha,
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	273 const double& beta, const double& s, const double&)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	274 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	275 if (lsize == 1)
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	276 return (alpha * beta < 0 ? 1 : -1);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	277 else
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	278 return (s < 0 ? 1 : -1);
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	279 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	280
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	281 static octave_idx_type
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	282 fout (const octave_idx_type& lsize, const double& alpha,
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	283 const double& beta, const double&, const double& p)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	284 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	285 if (lsize == 1)
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	286 return (fabs (alpha) >= fabs (beta) ? 1 : -1);
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	287 else
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	288 return (fabs (p) >= 1 ? 1 : -1);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	289 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	290
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	291 DEFUN_DLD (qz, args, nargout,
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	292 "-- texinfo --\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	293 @deftypefn {Loadable Function} {@var{lambda} =} qz (@var{a}, @var{b})\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	294 Generalized eigenvalue problem @math{A x = s B x},\n\
9064 7c02ec148a3c Check grammar on all .cc files Rik <rdrider0-list@yahoo.com> parents: 8927 diff changeset	295 @var{QZ} decomposition. There are three ways to call this function:\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	296 @enumerate\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	297 @item @code{lambda = qz(A,B)}\n\
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	298 \n\
5016 bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe] jwe parents: 4629 diff changeset	299 Computes the generalized eigenvalues\n\
bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe] jwe parents: 4629 diff changeset	300 @tex\n\
bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe] jwe parents: 4629 diff changeset	301 $\\lambda$\n\
bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe] jwe parents: 4629 diff changeset	302 @end tex\n\
8517 81d6ab3ac93c Allow documentation tobe built for other formats than tex and info sh@sh-laptop parents: 8286 diff changeset	303 @ifnottex\n\
5016 bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe] jwe parents: 4629 diff changeset	304 @var{lambda}\n\
8517 81d6ab3ac93c Allow documentation tobe built for other formats than tex and info sh@sh-laptop parents: 8286 diff changeset	305 @end ifnottex\n\
5016 bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe] jwe parents: 4629 diff changeset	306 of @math{(A - s B)}.\n\
3500 7923abdeb4e5 [project @ 2000-01-31 06:35:00 by jwe] jwe parents: 3427 diff changeset	307 @item @code{[AA, BB, Q, Z, V, W, lambda] = qz (A, B)}\n\
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	308 \n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	309 Computes qz decomposition, generalized eigenvectors, and \n\
5481 65e02518f4f5 [project @ 2005-10-04 17:12:08 by jwe] jwe parents: 5333 diff changeset	310 generalized eigenvalues of @math{(A - sB)}\n\
5016 bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe] jwe parents: 4629 diff changeset	311 @tex\n\
bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe] jwe parents: 4629 diff changeset	312 $$ AV = BV{ \\rm diag }(\\lambda) $$\n\
bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe] jwe parents: 4629 diff changeset	313 $$ W^T A = { \\rm diag }(\\lambda)W^T B $$\n\
bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe] jwe parents: 4629 diff changeset	314 $$ AA = Q^T AZ, BB = Q^T BZ $$\n\
bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe] jwe parents: 4629 diff changeset	315 @end tex\n\
8517 81d6ab3ac93c Allow documentation tobe built for other formats than tex and info sh@sh-laptop parents: 8286 diff changeset	316 @ifnottex\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	317 @example\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	318 @group\n\
5481 65e02518f4f5 [project @ 2005-10-04 17:12:08 by jwe] jwe parents: 5333 diff changeset	319 \n\
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	320 A * V = B * V * diag (lambda)\n\
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	321 W' * A = diag (lambda) * W' * B\n\
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	322 AA = Q * A * Z, BB = Q * B * Z\n\
5481 65e02518f4f5 [project @ 2005-10-04 17:12:08 by jwe] jwe parents: 5333 diff changeset	323 \n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	324 @end group\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	325 @end example\n\
8517 81d6ab3ac93c Allow documentation tobe built for other formats than tex and info sh@sh-laptop parents: 8286 diff changeset	326 @end ifnottex\n\
5016 bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe] jwe parents: 4629 diff changeset	327 with @var{Q} and @var{Z} orthogonal (unitary)= @var{I}\n\
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	328 \n\
5016 bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe] jwe parents: 4629 diff changeset	329 @item @code{[AA,BB,Z@{, lambda@}] = qz(A,B,opt)}\n\
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	330 \n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	331 As in form [2], but allows ordering of generalized eigenpairs\n\
5481 65e02518f4f5 [project @ 2005-10-04 17:12:08 by jwe] jwe parents: 5333 diff changeset	332 for (e.g.) solution of discrete time algebraic Riccati equations.\n\
65e02518f4f5 [project @ 2005-10-04 17:12:08 by jwe] jwe parents: 5333 diff changeset	333 Form 3 is not available for complex matrices, and does not compute\n\
65e02518f4f5 [project @ 2005-10-04 17:12:08 by jwe] jwe parents: 5333 diff changeset	334 the generalized eigenvectors @var{V}, @var{W}, nor the orthogonal matrix @var{Q}.\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	335 @table @var\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	336 @item opt\n\
9064 7c02ec148a3c Check grammar on all .cc files Rik <rdrider0-list@yahoo.com> parents: 8927 diff changeset	337 for ordering eigenvalues of the GEP pencil. The leading block\n\
5481 65e02518f4f5 [project @ 2005-10-04 17:12:08 by jwe] jwe parents: 5333 diff changeset	338 of the revised pencil contains all eigenvalues that satisfy:\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	339 @table @code\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	340 @item \"N\"\n\
5481 65e02518f4f5 [project @ 2005-10-04 17:12:08 by jwe] jwe parents: 5333 diff changeset	341 = unordered (default) \n\
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	342 \n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	343 @item \"S\"\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	344 = small: leading block has all \|lambda\| <=1 \n\
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	345 \n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	346 @item \"B\"\n\
5481 65e02518f4f5 [project @ 2005-10-04 17:12:08 by jwe] jwe parents: 5333 diff changeset	347 = big: leading block has all \|lambda\| >= 1 \n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	348 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	349 @item \"-\"\n\
5481 65e02518f4f5 [project @ 2005-10-04 17:12:08 by jwe] jwe parents: 5333 diff changeset	350 = negative real part: leading block has all eigenvalues\n\
65e02518f4f5 [project @ 2005-10-04 17:12:08 by jwe] jwe parents: 5333 diff changeset	351 in the open left half-plane\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	352 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	353 @item \"+\"\n\
9209 923c7cb7f13f Simplify TeXinfo files by eliminating redundant @iftex followed by @tex construction. Rik <rdrider0-list@yahoo.com> parents: 9064 diff changeset	354 = non-negative real part: leading block has all eigenvalues\n\
5481 65e02518f4f5 [project @ 2005-10-04 17:12:08 by jwe] jwe parents: 5333 diff changeset	355 in the closed right half-plane\n\
9064 7c02ec148a3c Check grammar on all .cc files Rik <rdrider0-list@yahoo.com> parents: 8927 diff changeset	356 @end table\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	357 @end table\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	358 @end enumerate\n\
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	359 \n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	360 Note: qz performs permutation balancing, but not scaling (see balance).\n\
9064 7c02ec148a3c Check grammar on all .cc files Rik <rdrider0-list@yahoo.com> parents: 8927 diff changeset	361 Order of output arguments was selected for compatibility with @sc{matlab}\n\
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	362 \n\
8286 6f2d95255911 fix @seealso references to point to existing anchors Thorsten Meyer <thorsten.meyier@gmx.de> parents: 7520 diff changeset	363 @seealso{balance, eig, schur}\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	364 @end deftypefn")
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	365 {
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	366 octave_value_list retval;
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	367 int nargin = args.length ();
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	368
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	369 #ifdef DEBUG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	370 std::cout << "qz: nargin = " << nargin << ", nargout = " << nargout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	371 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	372
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	373 if (nargin < 2 \|\| nargin > 3 \|\| nargout > 7)
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	374 {
5823 080c08b192d8 [project @ 2006-05-19 05:32:17 by jwe] jwe parents: 5775 diff changeset	375 print_usage ();
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	376 return retval;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	377 }
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	378 else if (nargin == 3 && (nargout < 3 \|\| nargout > 4))
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	379 {
3427 e098ebb77023 [project @ 2000-01-13 09:25:53 by jwe] jwe parents: 3372 diff changeset	380 error ("qz: invalid number of output arguments for form [3] call");
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	381 return retval;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	382 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	383
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	384 #ifdef DEBUG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	385 std::cout << "qz: determine ordering option" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	386 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	387
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	388 // Determine ordering option.
8927 d75f4ee0538d qz.cc (Fqz): avoid maybe clobbred by vfork warning from GCC John W. Eaton <jwe@octave.org> parents: 8920 diff changeset	389 volatile char ord_job = 0;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	390 static double safmin;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	391
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	392 if (nargin == 2)
8927 d75f4ee0538d qz.cc (Fqz): avoid maybe clobbred by vfork warning from GCC John W. Eaton <jwe@octave.org> parents: 8920 diff changeset	393 ord_job = 'N';
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	394 else if (!args(2).is_string ())
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	395 {
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	396 error ("qz: argument 3 must be a string");
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	397 return retval;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	398 }
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	399 else
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	400 {
8927 d75f4ee0538d qz.cc (Fqz): avoid maybe clobbred by vfork warning from GCC John W. Eaton <jwe@octave.org> parents: 8920 diff changeset	401 std::string tmp = args(2).string_value ();
d75f4ee0538d qz.cc (Fqz): avoid maybe clobbred by vfork warning from GCC John W. Eaton <jwe@octave.org> parents: 8920 diff changeset	402
d75f4ee0538d qz.cc (Fqz): avoid maybe clobbred by vfork warning from GCC John W. Eaton <jwe@octave.org> parents: 8920 diff changeset	403 if (! tmp.empty ())
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	404 ord_job = tmp[0];
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	405
8927 d75f4ee0538d qz.cc (Fqz): avoid maybe clobbred by vfork warning from GCC John W. Eaton <jwe@octave.org> parents: 8920 diff changeset	406 if (! (ord_job == 'N' \|\| ord_job == 'n'
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	407 \|\| ord_job == 'S' \|\| ord_job == 's'
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	408 \|\| ord_job == 'B' \|\| ord_job == 'b'
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	409 \|\| ord_job == '+' \|\| ord_job == '-'))
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	410 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	411 error ("qz: invalid order option");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	412 return retval;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	413 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	414
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	415 // overflow constant required by dlag2
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	416 F77_FUNC (xdlamch, XDLAMCH) (F77_CONST_CHAR_ARG2 ("S", 1),
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	417 safmin
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	418 F77_CHAR_ARG_LEN (1));
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	419
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	420 #ifdef DEBUG_EIG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	421 std::cout << "qz: initial value of safmin=" << setiosflags (std::ios::scientific)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	422 << safmin << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	423 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	424
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	425 // Some machines (e.g., DEC alpha) get safmin = 0;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	426 // for these, use eps instead to avoid problems in dlag2.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	427 if (safmin == 0)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	428 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	429 #ifdef DEBUG_EIG
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	430 std::cout << "qz: DANGER WILL ROBINSON: safmin is 0!" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	431 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	432
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	433 F77_FUNC (xdlamch, XDLAMCH) (F77_CONST_CHAR_ARG2 ("E", 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	434 safmin
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	435 F77_CHAR_ARG_LEN (1));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	436
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	437 #ifdef DEBUG_EIG
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	438 std::cout << "qz: safmin set to " << setiosflags (std::ios::scientific)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	439 << safmin << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	440 #endif
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	441 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	442 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	443
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	444 #ifdef DEBUG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	445 std::cout << "qz: check argument 1" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	446 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	447
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	448 // Argument 1: check if it's o.k. dimensioned.
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	449 octave_idx_type nn = args(0).rows ();
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	450
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	451 #ifdef DEBUG
3531 97cf542676e1 [project @ 2000-02-02 11:30:40 by jwe] jwe parents: 3523 diff changeset	452 std::cout << "argument 1 dimensions: (" << nn << "," << args(0).columns () << ")"
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	453 << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	454 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	455
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	456 int arg_is_empty = empty_arg ("qz", nn, args(0).columns ());
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	457
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	458 if (arg_is_empty < 0)
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	459 {
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	460 gripe_empty_arg ("qz: parameter 1", 0);
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	461 return retval;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	462 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	463 else if (arg_is_empty > 0)
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	464 {
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	465 gripe_empty_arg ("qz: parameter 1; continuing", 0);
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	466 return octave_value_list (2, Matrix ());
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	467 }
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	468 else if (args(0).columns () != nn)
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	469 {
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	470 gripe_square_matrix_required ("qz");
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	471 return retval;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	472 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	473
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	474 // Argument 1: dimensions look good; get the value.
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	475 Matrix aa;
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	476 ComplexMatrix caa;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	477
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	478 if (args(0).is_complex_type ())
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	479 caa = args(0).complex_matrix_value ();
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	480 else
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	481 aa = args(0).matrix_value ();
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	482
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	483 if (error_state)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	484 return retval;
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	485
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	486 #ifdef DEBUG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	487 std::cout << "qz: check argument 2" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	488 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	489
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	490 // Extract argument 2 (bb, or cbb if complex).
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	491 if ((nn != args(1).columns ()) \|\| (nn != args(1).rows ()))
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	492 {
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	493 gripe_nonconformant ();
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	494 return retval;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	495 }
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	496
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	497 Matrix bb;
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	498 ComplexMatrix cbb;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	499
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	500 if (args(1).is_complex_type ())
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	501 cbb = args(1).complex_matrix_value ();
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	502 else
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	503 bb = args(1).matrix_value ();
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	504
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	505 if (error_state)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	506 return retval;
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	507
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	508 // Both matrices loaded, now let's check what kind of arithmetic:
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	509 // declared volatile to avoid compiler warnings about long jumps,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	510 // vforks.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	511
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	512 volatile int complex_case
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	513 = (args(0).is_complex_type () \|\| args(1).is_complex_type ());
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	514
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	515 if (nargin == 3 && complex_case)
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	516 {
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	517 error ("qz: cannot re-order complex qz decomposition.");
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	518 return retval;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	519 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	520
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	521 // First, declare variables used in both the real and complex case.
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	522 Matrix QQ(nn,nn), ZZ(nn,nn), VR(nn,nn), VL(nn,nn);
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	523 RowVector alphar(nn), alphai(nn), betar(nn);
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	524 ComplexRowVector xalpha(nn), xbeta(nn);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	525 ComplexMatrix CQ(nn,nn), CZ(nn,nn), CVR(nn,nn), CVL(nn,nn);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	526 octave_idx_type ilo, ihi, info;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	527 char compq = (nargout >= 3 ? 'V' : 'N');
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	528 char compz = (nargout >= 4 ? 'V' : 'N');
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	529
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	530 // Initialize Q, Z to identity if we need either of them.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	531 if (compq == 'V' \|\| compz == 'V')
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	532 for (octave_idx_type ii = 0; ii < nn; ii++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	533 for (octave_idx_type jj = 0; jj < nn; jj++)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	534 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	535 OCTAVE_QUIT;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	536 QQ(ii,jj) = ZZ(ii,jj) = (ii == jj ? 1.0 : 0.0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	537 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	538
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	539 // Always perform permutation balancing.
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	540 const char bal_job = 'P';
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	541 RowVector lscale (nn), rscale (nn), work (6 * nn), rwork (nn);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	542
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	543 if (complex_case)
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	544 {
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	545 #ifdef DEBUG
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	546 if (compq == 'V')
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	547 std::cout << "qz: performing balancing; CQ=" << std::endl << CQ << std::endl;
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	548 #endif
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	549 if (args(0).is_real_type ())
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	550 caa = ComplexMatrix (aa);
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	551
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	552 if (args(1).is_real_type ())
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	553 cbb = ComplexMatrix (bb);
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	554
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	555 if (compq == 'V')
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	556 CQ = ComplexMatrix (QQ);
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	557
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	558 if (compz == 'V')
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	559 CZ = ComplexMatrix (ZZ);
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	560
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	561 F77_XFCN (zggbal, ZGGBAL,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	562 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	563 nn, caa.fortran_vec (), nn, cbb.fortran_vec (),
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	564 nn, ilo, ihi, lscale.fortran_vec (),
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	565 rscale.fortran_vec (), work.fortran_vec (), info
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	566 F77_CHAR_ARG_LEN (1)));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	567 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	568 else
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	569 {
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	570 #ifdef DEBUG
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	571 if (compq == 'V')
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	572 std::cout << "qz: performing balancing; QQ=" << std::endl << QQ << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	573 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	574
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	575 F77_XFCN (dggbal, DGGBAL,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	576 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	577 nn, aa.fortran_vec (), nn, bb.fortran_vec (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	578 nn, ilo, ihi, lscale.fortran_vec (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	579 rscale.fortran_vec (), work.fortran_vec (), info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	580 F77_CHAR_ARG_LEN (1)));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	581 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	582
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	583 // Since we just want the balancing matrices, we can use dggbal
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	584 // for both the real and complex cases; left first
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	585
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	586 #if 0
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	587 if (compq == 'V')
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	588 {
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	589 F77_XFCN (dggbak, DGGBAK,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	590 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	591 F77_CONST_CHAR_ARG2 ("L", 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	592 nn, ilo, ihi, lscale.data (), rscale.data (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	593 nn, QQ.fortran_vec (), nn, info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	594 F77_CHAR_ARG_LEN (1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	595 F77_CHAR_ARG_LEN (1)));
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	596
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	597 #ifdef DEBUG
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	598 if (compq == 'V')
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	599 std::cout << "qz: balancing done; QQ=" << std::endl << QQ << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	600 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	601 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	602
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	603 // then right
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	604 if (compz == 'V')
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	605 {
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	606 F77_XFCN (dggbak, DGGBAK,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	607 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	608 F77_CONST_CHAR_ARG2 ("R", 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	609 nn, ilo, ihi, lscale.data (), rscale.data (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	610 nn, ZZ.fortran_vec (), nn, info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	611 F77_CHAR_ARG_LEN (1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	612 F77_CHAR_ARG_LEN (1)));
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	613
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	614 #ifdef DEBUG
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	615 if (compz == 'V')
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	616 std::cout << "qz: balancing done; ZZ=" << std::endl << ZZ << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	617 #endif
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	618 }
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	619 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	620
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	621 static char qz_job;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	622 qz_job = (nargout < 2 ? 'E' : 'S');
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	623
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	624 if (complex_case)
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	625 {
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	626 // Complex case.
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	627
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	628 // The QR decomposition of cbb.
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	629 ComplexQR cbqr (cbb);
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	630 // The R matrix of QR decomposition for cbb.
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	631 cbb = cbqr.R ();
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	632 // (Q*)caa for following work.
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	633 caa = (cbqr.Q ().hermitian ()) * caa;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	634 CQ = CQ * cbqr.Q ();
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	635
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	636 F77_XFCN (zgghrd, ZGGHRD,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	637 (F77_CONST_CHAR_ARG2 (&compq, 1),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	638 F77_CONST_CHAR_ARG2 (&compz, 1),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	639 nn, ilo, ihi, caa.fortran_vec (),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	640 nn, cbb.fortran_vec (), nn, CQ.fortran_vec (), nn,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	641 CZ.fortran_vec (), nn, info
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	642 F77_CHAR_ARG_LEN (1)
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	643 F77_CHAR_ARG_LEN (1)));
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	644
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	645 ComplexRowVector cwork (1 * nn);
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	646
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	647 F77_XFCN (zhgeqz, ZHGEQZ,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	648 (F77_CONST_CHAR_ARG2 (&qz_job, 1),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	649 F77_CONST_CHAR_ARG2 (&compq, 1),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	650 F77_CONST_CHAR_ARG2 (&compz, 1),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	651 nn, ilo, ihi,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	652 caa.fortran_vec (), nn,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	653 cbb.fortran_vec (),nn,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	654 xalpha.fortran_vec (), xbeta.fortran_vec (),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	655 CQ.fortran_vec (), nn,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	656 CZ.fortran_vec (), nn,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	657 cwork.fortran_vec (), nn, rwork.fortran_vec (), info
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	658 F77_CHAR_ARG_LEN (1)
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	659 F77_CHAR_ARG_LEN (1)
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	660 F77_CHAR_ARG_LEN (1)));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	661
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	662 if (compq == 'V')
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	663 {
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	664 // Left eigenvector.
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	665 F77_XFCN (zggbak, ZGGBAK,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	666 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	667 F77_CONST_CHAR_ARG2 ("L", 1),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	668 nn, ilo, ihi, lscale.data (), rscale.data (),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	669 nn, CQ.fortran_vec (), nn, info
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	670 F77_CHAR_ARG_LEN (1)
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	671 F77_CHAR_ARG_LEN (1)));
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	672 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	673
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	674 // Right eigenvector.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	675 if (compz == 'V')
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	676 {
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	677 F77_XFCN (zggbak, ZGGBAK,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	678 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	679 F77_CONST_CHAR_ARG2 ("R", 1),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	680 nn, ilo, ihi, lscale.data (), rscale.data (),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	681 nn, CZ.fortran_vec (), nn, info
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	682 F77_CHAR_ARG_LEN (1)
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	683 F77_CHAR_ARG_LEN (1)));
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	684 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	685
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	686 }
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	687 else
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	688 {
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	689 #ifdef DEBUG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	690 std::cout << "qz: peforming qr decomposition of bb" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	691 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	692
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	693 // Compute the QR factorization of bb.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	694 QR bqr (bb);
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	695
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	696 #ifdef DEBUG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	697 std::cout << "qz: qr (bb) done; now peforming qz decomposition" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	698 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	699
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	700 bb = bqr.R ();
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	701
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	702 #ifdef DEBUG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	703 std::cout << "qz: extracted bb" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	704 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	705
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	706 aa = (bqr.Q ()).transpose () * aa;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	707
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	708 #ifdef DEBUG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	709 std::cout << "qz: updated aa " << std::endl;
0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	710 std::cout << "bqr.Q () = " << std::endl << bqr.Q () << std::endl;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	711
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	712 if (compq == 'V')
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	713 std::cout << "QQ =" << QQ << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	714 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	715
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	716 if (compq == 'V')
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	717 QQ = QQ * bqr.Q ();
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	718
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	719 #ifdef DEBUG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	720 std::cout << "qz: precursors done..." << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	721 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	722
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	723 #ifdef DEBUG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	724 std::cout << "qz: compq = " << compq << ", compz = " << compz << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	725 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	726
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	727 // Reduce to generalized hessenberg form.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	728 F77_XFCN (dgghrd, DGGHRD,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	729 (F77_CONST_CHAR_ARG2 (&compq, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	730 F77_CONST_CHAR_ARG2 (&compz, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	731 nn, ilo, ihi, aa.fortran_vec (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	732 nn, bb.fortran_vec (), nn, QQ.fortran_vec (), nn,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	733 ZZ.fortran_vec (), nn, info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	734 F77_CHAR_ARG_LEN (1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	735 F77_CHAR_ARG_LEN (1)));
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	736
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	737 // Check if just computing generalized eigenvalues or if we're
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	738 // actually computing the decomposition.
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	739
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	740 // Reduce to generalized Schur form.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	741 F77_XFCN (dhgeqz, DHGEQZ,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	742 (F77_CONST_CHAR_ARG2 (&qz_job, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	743 F77_CONST_CHAR_ARG2 (&compq, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	744 F77_CONST_CHAR_ARG2 (&compz, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	745 nn, ilo, ihi, aa.fortran_vec (), nn, bb.fortran_vec (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	746 nn, alphar.fortran_vec (), alphai.fortran_vec (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	747 betar.fortran_vec (), QQ.fortran_vec (), nn,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	748 ZZ.fortran_vec (), nn, work.fortran_vec (), nn, info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	749 F77_CHAR_ARG_LEN (1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	750 F77_CHAR_ARG_LEN (1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	751 F77_CHAR_ARG_LEN (1)));
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	752
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	753 if (compq == 'V')
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	754 {
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	755 F77_XFCN (dggbak, DGGBAK,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	756 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	757 F77_CONST_CHAR_ARG2 ("L", 1),
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	758 nn, ilo, ihi, lscale.data (), rscale.data (),
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	759 nn, QQ.fortran_vec (), nn, info
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	760 F77_CHAR_ARG_LEN (1)
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	761 F77_CHAR_ARG_LEN (1)));
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	762
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	763 #ifdef DEBUG
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	764 if (compq == 'V')
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	765 std::cout << "qz: balancing done; QQ=" << std::endl << QQ << std::endl;
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	766 #endif
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	767 }
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	768
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	769 // then right
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	770 if (compz == 'V')
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	771 {
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	772 F77_XFCN (dggbak, DGGBAK,
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	773 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	774 F77_CONST_CHAR_ARG2 ("R", 1),
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	775 nn, ilo, ihi, lscale.data (), rscale.data (),
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	776 nn, ZZ.fortran_vec (), nn, info
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	777 F77_CHAR_ARG_LEN (1)
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	778 F77_CHAR_ARG_LEN (1)));
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	779
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	780 #ifdef DEBUG
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	781 if (compz == 'V')
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	782 std::cout << "qz: balancing done; ZZ=" << std::endl << ZZ << std::endl;
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	783 #endif
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	784 }
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	785
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	786 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	787
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	788 // Order the QZ decomposition?
8927 d75f4ee0538d qz.cc (Fqz): avoid maybe clobbred by vfork warning from GCC John W. Eaton <jwe@octave.org> parents: 8920 diff changeset	789 if (! (ord_job == 'N' \|\| ord_job == 'n'))
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	790 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	791 if (complex_case)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	792 {
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	793 // Probably not needed, but better be safe.
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	794 error ("qz: cannot re-order complex qz decomposition.");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	795 return retval;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	796 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	797 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	798 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	799 #ifdef DEBUG_SORT
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	800 std::cout << "qz: ordering eigenvalues: ord_job = "
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	801 << ord_job << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	802 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	803
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	804 // Declared static to avoid vfork/long jump compiler complaints.
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	805 static sort_function sort_test;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	806 sort_test = 0;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	807
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	808 switch (ord_job)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	809 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	810 case 'S':
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	811 case 's':
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	812 sort_test = &fin;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	813 break;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	814
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	815 case 'B':
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	816 case 'b':
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	817 sort_test = &fout;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	818 break;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	819
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	820 case '+':
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	821 sort_test = &fcrhp;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	822 break;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	823
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	824 case '-':
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	825 sort_test = &folhp;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	826 break;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	827
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	828 default:
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	829 // Invalid order option (should never happen, since we
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	830 // checked the options at the top).
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	831 panic_impossible ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	832 break;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	833 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	834
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	835 octave_idx_type ndim, fail;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	836 double inf_norm;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	837
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	838 F77_XFCN (xdlange, XDLANGE,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	839 (F77_CONST_CHAR_ARG2 ("I", 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	840 nn, nn, aa.data (), nn, work.fortran_vec (), inf_norm
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	841 F77_CHAR_ARG_LEN (1)));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	842
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	843 double eps = DBL_EPSILON * inf_norm * nn;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	844
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	845 #ifdef DEBUG_SORT
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	846 std::cout << "qz: calling dsubsp: aa=" << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	847 octave_print_internal (std::cout, aa, 0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	848 std::cout << std::endl << "bb=" << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	849 octave_print_internal (std::cout, bb, 0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	850 if (compz == 'V')
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	851 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	852 std::cout << std::endl << "ZZ=" << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	853 octave_print_internal (std::cout, ZZ, 0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	854 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	855 std::cout << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	856 std::cout << "alphar = " << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	857 octave_print_internal (std::cout, (Matrix) alphar, 0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	858 std::cout << std::endl << "alphai = " << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	859 octave_print_internal (std::cout, (Matrix) alphai, 0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	860 std::cout << std::endl << "beta = " << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	861 octave_print_internal (std::cout, (Matrix) betar, 0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	862 std::cout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	863 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	864
10350 12884915a8e4 merge MArray classes & improve Array interface Jaroslav Hajek <highegg@gmail.com> parents: 10311 diff changeset	865 Array<octave_idx_type> ind (nn, 1);
3550 bc492f4a94cb [project @ 2000-02-03 01:36:30 by jwe] jwe parents: 3538 diff changeset	866
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	867 F77_XFCN (dsubsp, DSUBSP,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	868 (nn, nn, aa.fortran_vec (), bb.fortran_vec (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	869 ZZ.fortran_vec (), sort_test, eps, ndim, fail,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	870 ind.fortran_vec ()));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	871
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	872 #ifdef DEBUG
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	873 std::cout << "qz: back from dsubsp: aa=" << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	874 octave_print_internal (std::cout, aa, 0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	875 std::cout << std::endl << "bb=" << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	876 octave_print_internal (std::cout, bb, 0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	877 if (compz == 'V')
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	878 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	879 std::cout << std::endl << "ZZ=" << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	880 octave_print_internal (std::cout, ZZ, 0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	881 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	882 std::cout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	883 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	884
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	885 // Manually update alphar, alphai, betar.
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	886 static int jj;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	887
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	888 jj = 0;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	889 while (jj < nn)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	890 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	891 #ifdef DEBUG_EIG
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	892 std::cout << "computing gen eig #" << jj << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	893 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	894
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	895 // Number of zeros in this block.
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	896 static int zcnt;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	897
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	898 if (jj == (nn-1))
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	899 zcnt = 1;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	900 else if (aa(jj+1,jj) == 0)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	901 zcnt = 1;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	902 else zcnt = 2;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	903
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	904 if (zcnt == 1)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	905 {
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	906 // Real zero.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	907 #ifdef DEBUG_EIG
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	908 std::cout << " single gen eig:" << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	909 std::cout << " alphar(" << jj << ") = " << aa(jj,jj) << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	910 std::cout << " betar( " << jj << ") = " << bb(jj,jj) << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	911 std::cout << " alphai(" << jj << ") = 0" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	912 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	913
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	914 alphar(jj) = aa(jj,jj);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	915 alphai(jj) = 0;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	916 betar(jj) = bb(jj,jj);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	917 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	918 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	919 {
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	920 // Complex conjugate pair.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	921 #ifdef DEBUG_EIG
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	922 std::cout << "qz: calling dlag2:" << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	923 std::cout << "safmin="
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	924 << setiosflags (std::ios::scientific) << safmin << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	925
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	926 for (int idr = jj; idr <= jj+1; idr++)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	927 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	928 for (int idc = jj; idc <= jj+1; idc++)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	929 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	930 std::cout << "aa(" << idr << "," << idc << ")="
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	931 << aa(idr,idc) << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	932 std::cout << "bb(" << idr << "," << idc << ")="
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	933 << bb(idr,idc) << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	934 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	935 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	936 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	937
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	938 // FIXME -- probably should be using
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	939 // fortran_vec instead of &aa(jj,jj) here.
4566 30ba814d6700 [project @ 2003-10-29 15:06:29 by jwe] jwe parents: 4552 diff changeset	940
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	941 double scale1, scale2, wr1, wr2, wi;
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	942 const double aa_ptr = aa.data () + jj nn + jj;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	943 const double bb_ptr = bb.data () + jj nn + jj;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	944 F77_XFCN (dlag2, DLAG2,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	945 (aa_ptr, nn, bb_ptr, nn, safmin,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	946 scale1, scale2, wr1, wr2, wi));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	947
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	948 #ifdef DEBUG_EIG
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	949 std::cout << "dlag2 returns: scale1=" << scale1
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	950 << "\tscale2=" << scale2 << std::endl
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	951 << "\twr1=" << wr1 << "\twr2=" << wr2
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	952 << "\twi=" << wi << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	953 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	954
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	955 // Just to be safe, check if it's a real pair.
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	956 if (wi == 0)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	957 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	958 alphar(jj) = wr1;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	959 alphai(jj) = 0;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	960 betar(jj) = scale1;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	961 alphar(jj+1) = wr2;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	962 alphai(jj+1) = 0;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	963 betar(jj+1) = scale2;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	964 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	965 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	966 {
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	967 alphar(jj) = alphar(jj+1) = wr1;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	968 alphai(jj) = -(alphai(jj+1) = wi);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	969 betar(jj) = betar(jj+1) = scale1;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	970 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	971 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	972
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	973 // Advance past this block.
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	974 jj += zcnt;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	975 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	976
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	977 #ifdef DEBUG_SORT
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	978 std::cout << "qz: back from dsubsp: aa=" << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	979 octave_print_internal (std::cout, aa, 0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	980 std::cout << std::endl << "bb=" << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	981 octave_print_internal (std::cout, bb, 0);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	982
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	983 if (compz == 'V')
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	984 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	985 std::cout << std::endl << "ZZ=" << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	986 octave_print_internal (std::cout, ZZ, 0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	987 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	988 std::cout << std::endl << "qz: ndim=" << ndim << std::endl
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	989 << "fail=" << fail << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	990 std::cout << "alphar = " << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	991 octave_print_internal (std::cout, (Matrix) alphar, 0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	992 std::cout << std::endl << "alphai = " << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	993 octave_print_internal (std::cout, (Matrix) alphai, 0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	994 std::cout << std::endl << "beta = " << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	995 octave_print_internal (std::cout, (Matrix) betar, 0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	996 std::cout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	997 #endif
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	998 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	999 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1000
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1001 // Compute generalized eigenvalues?
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1002 ComplexColumnVector gev;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1003
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1004 if (nargout < 2 \|\| nargout == 7 \|\| (nargin == 3 && nargout == 4))
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1005 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1006 if (complex_case)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1007 {
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1008 int cnt = 0;
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	1009
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1010 for (int ii = 0; ii < nn; ii++)
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1011 cnt++;
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	1012
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1013 ComplexColumnVector tmp (cnt);
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	1014
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1015 cnt = 0;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1016 for (int ii = 0; ii < nn; ii++)
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1017 tmp(cnt++) = xalpha(ii) / xbeta(ii);
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1018
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1019 gev = tmp;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1020 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1021 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1022 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1023 #ifdef DEBUG
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1024 std::cout << "qz: computing generalized eigenvalues" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1025 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1026
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1027 // Return finite generalized eigenvalues.
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1028 int cnt = 0;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1029
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1030 for (int ii = 0; ii < nn; ii++)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1031 if (betar(ii) != 0)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1032 cnt++;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1033
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1034 ComplexColumnVector tmp (cnt);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1035
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1036 cnt = 0;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1037 for (int ii = 0; ii < nn; ii++)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1038 if (betar(ii) != 0)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1039 tmp(cnt++) = Complex(alphar(ii), alphai(ii))/betar(ii);
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1040
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1041 gev = tmp;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1042 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1043 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1044
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1045 // Right, left eigenvector matrices.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1046 if (nargout >= 5)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1047 {
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1048 // Which side to compute?
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1049 char side = (nargout == 5 ? 'R' : 'B');
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1050 // Compute all of them and backtransform
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1051 char howmny = 'B';
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1052 // Dummy pointer; select is not used.
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1053 octave_idx_type *select = 0;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1054
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1055 if (complex_case)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1056 {
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1057 CVL = CQ;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1058 CVR = CZ;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1059 ComplexRowVector cwork2 (2 * nn);
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1060 RowVector rwork2 (8 * nn);
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	1061 octave_idx_type m;
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	1062
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1063 F77_XFCN (ztgevc, ZTGEVC,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1064 (F77_CONST_CHAR_ARG2 (&side, 1),
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1065 F77_CONST_CHAR_ARG2 (&howmny, 1),
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1066 select, nn, caa.fortran_vec (), nn, cbb.fortran_vec (),
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1067 nn, CVL.fortran_vec (), nn, CVR.fortran_vec (), nn, nn,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1068 m, cwork2.fortran_vec (), rwork2.fortran_vec (), info
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1069 F77_CHAR_ARG_LEN (1)
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1070 F77_CHAR_ARG_LEN (1)));
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1071 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1072 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1073 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1074 #ifdef DEBUG
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1075 std::cout << "qz: computing generalized eigenvectors" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1076 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1077
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1078 VL = QQ;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1079 VR = ZZ;
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1080 octave_idx_type m;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1081
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1082 F77_XFCN (dtgevc, DTGEVC,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1083 (F77_CONST_CHAR_ARG2 (&side, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1084 F77_CONST_CHAR_ARG2 (&howmny, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1085 select, nn, aa.fortran_vec (), nn, bb.fortran_vec (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1086 nn, VL.fortran_vec (), nn, VR.fortran_vec (), nn, nn,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1087 m, work.fortran_vec (), info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1088 F77_CHAR_ARG_LEN (1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1089 F77_CHAR_ARG_LEN (1)));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1090
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1091 // Now construct the complex form of VV, WW.
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1092 int jj = 0;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1093
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1094 while (jj < nn)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1095 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1096 OCTAVE_QUIT;
4153 6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4051 diff changeset	1097
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1098 // See if real or complex eigenvalue.
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1099
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1100 // Column increment; assume complex eigenvalue.
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1101 int cinc = 2;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1102
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1103 if (jj == (nn-1))
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1104 // Single column.
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1105 cinc = 1;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1106 else if (aa(jj+1,jj) == 0)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1107 cinc = 1;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1108
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1109 // Now copy the eigenvector (s) to CVR, CVL.
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1110 if (cinc == 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1111 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1112 for (int ii = 0; ii < nn; ii++)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1113 CVR(ii,jj) = VR(ii,jj);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1114
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1115 if (side == 'B')
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1116 for (int ii = 0; ii < nn; ii++)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1117 CVL(ii,jj) = VL(ii,jj);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1118 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1119 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1120 {
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1121 // Double column; complex vector.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1122
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1123 for (int ii = 0; ii < nn; ii++)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1124 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1125 CVR(ii,jj) = Complex (VR(ii,jj), VR(ii,jj+1));
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1126 CVR(ii,jj+1) = Complex (VR(ii,jj), -VR(ii,jj+1));
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1127 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1128
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1129 if (side == 'B')
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1130 for (int ii = 0; ii < nn; ii++)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1131 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1132 CVL(ii,jj) = Complex (VL(ii,jj), VL(ii,jj+1));
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1133 CVL(ii,jj+1) = Complex (VL(ii,jj), -VL(ii,jj+1));
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1134 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1135 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1136
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1137 // Advance to next eigenvectors (if any).
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1138 jj += cinc;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1139 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1140 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1141 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1142
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1143 switch (nargout)
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1144 {
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1145 case 7:
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1146 retval(6) = gev;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1147
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1148 case 6:
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1149 // Return eigenvectors.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1150 retval(5) = CVL;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1151
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1152 case 5:
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1153 // Return eigenvectors.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1154 retval(4) = CVR;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1155
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1156 case 4:
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1157 if (nargin == 3)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1158 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1159 #ifdef DEBUG
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1160 std::cout << "qz: sort: retval(3) = gev = " << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1161 octave_print_internal (std::cout, gev);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1162 std::cout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1163 #endif
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1164 retval(3) = gev;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1165 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1166 else
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1167 {
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1168 if (complex_case)
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1169 retval(3) = CZ;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1170 else
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1171 retval(3) = ZZ;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1172 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1173
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1174 case 3:
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1175 if (nargin == 3)
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1176 retval(2) = CZ;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1177 else
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1178 {
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1179 if (complex_case)
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1180 retval(2) = CQ.hermitian ();
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1181 else
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1182 retval(2) = QQ.transpose ();
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1183 }
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1184
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1185 case 2:
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	1186 {
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1187 if (complex_case)
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1188 {
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	1189 #ifdef DEBUG
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1190 std::cout << "qz: retval (1) = cbb = " << std::endl;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1191 octave_print_internal (std::cout, cbb, 0);
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1192 std::cout << std::endl << "qz: retval(0) = caa = " <<std::endl;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1193 octave_print_internal (std::cout, caa, 0);
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1194 std::cout << std::endl;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1195 #endif
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1196 retval(1) = cbb;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1197 retval(0) = caa;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1198 }
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	1199 else
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1200 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1201 #ifdef DEBUG
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1202 std::cout << "qz: retval (1) = bb = " << std::endl;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1203 octave_print_internal (std::cout, bb, 0);
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1204 std::cout << std::endl << "qz: retval(0) = aa = " <<std::endl;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1205 octave_print_internal (std::cout, aa, 0);
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1206 std::cout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1207 #endif
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1208 retval(1) = bb;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1209 retval(0) = aa;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1210 }
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1211 }
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1212 break;
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	1213
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1214
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1215 case 1:
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1216 case 0:
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1217 #ifdef DEBUG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	1218 std::cout << "qz: retval(0) = gev = " << gev << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1219 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1220 retval(0) = gev;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1221 break;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1222
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1223 default:
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1224 error ("qz: too many return arguments.");
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1225 break;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1226 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1227
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1228 #ifdef DEBUG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	1229 std::cout << "qz: exiting (at long last)" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1230 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1231
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1232 return retval;
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1233 }

Mercurial > octave-nkf

annotate src/DLD-FUNCTIONS/qz.cc @ 10350:12884915a8e4