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

annotate src/DLD-FUNCTIONS/qz.cc @ 10154:40dfc0c99116

DLD-FUNCTIONS/*.cc: untabify

author	John W. Eaton <jwe@octave.org>
date	Wed, 20 Jan 2010 17:33:41 -0500
parents	2c279308f6ab
children	d0ce5e973937

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"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	42 #include "dbleQR.h"
4153 6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4051 diff changeset	43 #include "f77-fcn.h"
7231 2eb392d058bb [project @ 2007-11-30 18:53:29 by jwe] jwe parents: 7017 diff changeset	44 #include "lo-math.h"
4153 6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4051 diff changeset	45 #include "quit.h"
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4051 diff changeset	46
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	47 #include "defun-dld.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	48 #include "error.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	49 #include "gripes.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	50 #include "oct-obj.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	51 #include "oct-map.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	52 #include "ov.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	53 #include "pager.h"
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	54 #if defined (DEBUG) \|\| defined (DEBUG_SORT)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	55 #include "pr-output.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	56 #endif
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	57 #include "symtab.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	58 #include "utils.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	59 #include "variables.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	60
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	61 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	62 const double& BETA, const double& S,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	63 const double& P);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	64
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	65 extern "C"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	66 {
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	67 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	68 F77_FUNC (dggbal, DGGBAL) (F77_CONST_CHAR_ARG_DECL,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	69 const octave_idx_type& N, double* A, const octave_idx_type& LDA,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	70 double* B, const octave_idx_type& LDB, octave_idx_type& ILO,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	71 octave_idx_type& IHI, double* LSCALE, double* RSCALE,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	72 double* WORK, octave_idx_type& INFO
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	73 F77_CHAR_ARG_LEN_DECL);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	74
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	75 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	76 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	77 F77_CONST_CHAR_ARG_DECL,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	78 const octave_idx_type& N, const octave_idx_type& ILO,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	79 const octave_idx_type& IHI, const double* LSCALE,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	80 const double* RSCALE, octave_idx_type& M, double* V,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	81 const octave_idx_type& LDV, octave_idx_type& INFO
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	82 F77_CHAR_ARG_LEN_DECL
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	83 F77_CHAR_ARG_LEN_DECL);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	84
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	85 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	86 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	87 F77_CONST_CHAR_ARG_DECL,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	88 const octave_idx_type& N, const octave_idx_type& ILO,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	89 const octave_idx_type& IHI, double* A,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	90 const octave_idx_type& LDA, double* B,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	91 const octave_idx_type& LDB, double* Q,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	92 const octave_idx_type& LDQ, double* Z,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	93 const octave_idx_type& LDZ, octave_idx_type& INFO
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	94 F77_CHAR_ARG_LEN_DECL
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	95 F77_CHAR_ARG_LEN_DECL);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	96
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	97 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	98 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	99 F77_CONST_CHAR_ARG_DECL,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	100 F77_CONST_CHAR_ARG_DECL,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	101 const octave_idx_type& N, const octave_idx_type& ILO, const octave_idx_type& IHI,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	102 double* A, const octave_idx_type& LDA, double* B,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	103 const octave_idx_type& LDB, double* ALPHAR,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	104 double* ALPHAI, double* BETA, double* Q,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	105 const octave_idx_type& LDQ, double* Z,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	106 const octave_idx_type& LDZ, double* WORK,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	107 const octave_idx_type& LWORK, octave_idx_type& INFO
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	108 F77_CHAR_ARG_LEN_DECL
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	109 F77_CHAR_ARG_LEN_DECL
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	110 F77_CHAR_ARG_LEN_DECL);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	111
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	112 F77_RET_T
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	113 F77_FUNC (dlag2, DLAG2) (const double* A, const octave_idx_type& LDA, const double* B,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	114 const octave_idx_type& LDB, const double& SAFMIN,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	115 double& SCALE1, double& SCALE2,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	116 double& WR1, double& WR2, double& WI);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	117
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	118 // Van Dooren's code (netlib.org: toms/590) for reordering
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	119 // GEP. Only processes Z, not Q.
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	120 F77_RET_T
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	121 F77_FUNC (dsubsp, DSUBSP) (const octave_idx_type& NMAX, const octave_idx_type& N, double* A,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	122 double* B, double* Z, sort_function,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	123 const double& EPS, octave_idx_type& NDIM, octave_idx_type& FAIL,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	124 octave_idx_type* IND);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	125
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	126 // documentation for DTGEVC incorrectly states that VR, VL are
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	127 // complex*16; they are declared in DTGEVC as double precision
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	128 // (probably a cut and paste problem fro ZTGEVC)
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	129 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	130 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	131 F77_CONST_CHAR_ARG_DECL,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	132 octave_idx_type* SELECT, const octave_idx_type& N, double* A,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	133 const octave_idx_type& LDA, double* B,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	134 const octave_idx_type& LDB, double* VL,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	135 const octave_idx_type& LDVL, double* VR,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	136 const octave_idx_type& LDVR, const octave_idx_type& MM,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	137 octave_idx_type& M, double* WORK, octave_idx_type& INFO
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	138 F77_CHAR_ARG_LEN_DECL
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	139 F77_CHAR_ARG_LEN_DECL);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	140
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	141 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	142 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	143 double& retval
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	144 F77_CHAR_ARG_LEN_DECL);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	145
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	146 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	147 F77_FUNC (xdlange, XDLANGE) (F77_CONST_CHAR_ARG_DECL,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	148 const octave_idx_type&, const octave_idx_type&, const double*,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	149 const octave_idx_type&, double*, double&
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	150 F77_CHAR_ARG_LEN_DECL);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	151 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	152
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	153 // fcrhp, fin, fout, folhp:
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	154 // routines for ordering of generalized eigenvalues
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	155 // return 1 if test is passed, 0 otherwise
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	156 // fin: \|lambda\| < 1
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	157 // fout: \|lambda\| >= 1
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	158 // fcrhp: real(lambda) >= 0
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	159 // folhp: real(lambda) < 0
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	160
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	161 static octave_idx_type
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	162 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	163 const double& beta, const double& s, const double&)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	164 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	165 if (lsize == 1)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	166 return (alpha*beta >= 0 ? 1 : -1);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	167 else
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	168 return (s >= 0 ? 1 : -1);
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	169 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	170
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	171 static octave_idx_type
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	172 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	173 const double& beta, const double&, const double& p)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	174 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	175 octave_idx_type retval;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	176
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	177 if (lsize == 1)
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	178 retval = (fabs (alpha) < fabs (beta) ? 1 : -1);
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	179 else
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	180 retval = (fabs (p) < 1 ? 1 : -1);
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	181
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	182 #ifdef DEBUG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	183 std::cout << "qz: fin: retval=" << retval << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	184 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	185
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	186 return retval;
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	187 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	188
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	189 static octave_idx_type
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	190 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	191 const double& beta, const double& s, const double&)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	192 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	193 if (lsize == 1)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	194 return (alpha*beta < 0 ? 1 : -1);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	195 else
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	196 return (s < 0 ? 1 : -1);
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	197 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	198
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	199 static octave_idx_type
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	200 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	201 const double& beta, const double&, const double& p)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	202 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	203 if (lsize == 1)
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	204 return (fabs (alpha) >= fabs (beta) ? 1 : -1);
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	205 else
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	206 return (fabs (p) >= 1 ? 1 : -1);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	207 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	208
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	209 DEFUN_DLD (qz, args, nargout,
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	210 "-- texinfo --\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	211 @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	212 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	213 @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	214 @enumerate\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	215 @item @code{lambda = qz(A,B)}\n\
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	216 \n\
5016 bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe] jwe parents: 4629 diff changeset	217 Computes the generalized eigenvalues\n\
bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe] jwe parents: 4629 diff changeset	218 @tex\n\
bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe] jwe parents: 4629 diff changeset	219 $\\lambda$\n\
bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe] jwe parents: 4629 diff changeset	220 @end tex\n\
8517 81d6ab3ac93c Allow documentation tobe built for other formats than tex and info sh@sh-laptop parents: 8286 diff changeset	221 @ifnottex\n\
5016 bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe] jwe parents: 4629 diff changeset	222 @var{lambda}\n\
8517 81d6ab3ac93c Allow documentation tobe built for other formats than tex and info sh@sh-laptop parents: 8286 diff changeset	223 @end ifnottex\n\
5016 bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe] jwe parents: 4629 diff changeset	224 of @math{(A - s B)}.\n\
3500 7923abdeb4e5 [project @ 2000-01-31 06:35:00 by jwe] jwe parents: 3427 diff changeset	225 @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	226 \n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	227 Computes qz decomposition, generalized eigenvectors, and \n\
5481 65e02518f4f5 [project @ 2005-10-04 17:12:08 by jwe] jwe parents: 5333 diff changeset	228 generalized eigenvalues of @math{(A - sB)}\n\
5016 bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe] jwe parents: 4629 diff changeset	229 @tex\n\
bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe] jwe parents: 4629 diff changeset	230 $$ AV = BV{ \\rm diag }(\\lambda) $$\n\
bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe] jwe parents: 4629 diff changeset	231 $$ W^T A = { \\rm diag }(\\lambda)W^T B $$\n\
bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe] jwe parents: 4629 diff changeset	232 $$ AA = Q^T AZ, BB = Q^T BZ $$\n\
bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe] jwe parents: 4629 diff changeset	233 @end tex\n\
8517 81d6ab3ac93c Allow documentation tobe built for other formats than tex and info sh@sh-laptop parents: 8286 diff changeset	234 @ifnottex\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	235 @example\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	236 @group\n\
5481 65e02518f4f5 [project @ 2005-10-04 17:12:08 by jwe] jwe parents: 5333 diff changeset	237 \n\
65e02518f4f5 [project @ 2005-10-04 17:12:08 by jwe] jwe parents: 5333 diff changeset	238 AV = BV*diag(lambda)\n\
65e02518f4f5 [project @ 2005-10-04 17:12:08 by jwe] jwe parents: 5333 diff changeset	239 W'A = diag(lambda)W'*B\n\
65e02518f4f5 [project @ 2005-10-04 17:12:08 by jwe] jwe parents: 5333 diff changeset	240 AA = Q'AZ, BB = Q'BZ\n\
65e02518f4f5 [project @ 2005-10-04 17:12:08 by jwe] jwe parents: 5333 diff changeset	241 \n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	242 @end group\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	243 @end example\n\
8517 81d6ab3ac93c Allow documentation tobe built for other formats than tex and info sh@sh-laptop parents: 8286 diff changeset	244 @end ifnottex\n\
5016 bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe] jwe parents: 4629 diff changeset	245 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	246 \n\
5016 bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe] jwe parents: 4629 diff changeset	247 @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	248 \n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	249 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	250 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	251 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	252 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	253 @table @var\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	254 @item opt\n\
9064 7c02ec148a3c Check grammar on all .cc files Rik <rdrider0-list@yahoo.com> parents: 8927 diff changeset	255 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	256 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	257 @table @code\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	258 @item \"N\"\n\
5481 65e02518f4f5 [project @ 2005-10-04 17:12:08 by jwe] jwe parents: 5333 diff changeset	259 = unordered (default) \n\
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	260 \n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	261 @item \"S\"\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	262 = small: leading block has all \|lambda\| <=1 \n\
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	263 \n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	264 @item \"B\"\n\
5481 65e02518f4f5 [project @ 2005-10-04 17:12:08 by jwe] jwe parents: 5333 diff changeset	265 = big: leading block has all \|lambda\| >= 1 \n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	266 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	267 @item \"-\"\n\
5481 65e02518f4f5 [project @ 2005-10-04 17:12:08 by jwe] jwe parents: 5333 diff changeset	268 = negative real part: leading block has all eigenvalues\n\
65e02518f4f5 [project @ 2005-10-04 17:12:08 by jwe] jwe parents: 5333 diff changeset	269 in the open left half-plane\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	270 \n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	271 @item \"+\"\n\
9209 923c7cb7f13f Simplify TeXinfo files by eliminating redundant @iftex followed by @tex construction. Rik <rdrider0-list@yahoo.com> parents: 9064 diff changeset	272 = 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	273 in the closed right half-plane\n\
9064 7c02ec148a3c Check grammar on all .cc files Rik <rdrider0-list@yahoo.com> parents: 8927 diff changeset	274 @end table\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	275 @end table\n\
f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	276 @end enumerate\n\
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	277 \n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	278 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	279 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	280 \n\
8286 6f2d95255911 fix @seealso references to point to existing anchors Thorsten Meyer <thorsten.meyier@gmx.de> parents: 7520 diff changeset	281 @seealso{balance, eig, schur}\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3187 diff changeset	282 @end deftypefn")
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	283 {
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	284 octave_value_list retval;
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	285 int nargin = args.length ();
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	286
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	287 #ifdef DEBUG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	288 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	289 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	290
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	291 if (nargin < 2 \|\| nargin > 3 \|\| nargout > 7)
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	292 {
5823 080c08b192d8 [project @ 2006-05-19 05:32:17 by jwe] jwe parents: 5775 diff changeset	293 print_usage ();
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	294 return retval;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	295 }
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	296 else if (nargin == 3 && (nargout < 3 \|\| nargout > 4))
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	297 {
3427 e098ebb77023 [project @ 2000-01-13 09:25:53 by jwe] jwe parents: 3372 diff changeset	298 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	299 return retval;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	300 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	301
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	302 #ifdef DEBUG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	303 std::cout << "qz: determine ordering option" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	304 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	305
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	306 // 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	307 volatile char ord_job = 0;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	308 static double safmin;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	309
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	310 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	311 ord_job = 'N';
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	312 else if (!args(2).is_string ())
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	313 {
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	314 error ("qz: argument 3 must be a string");
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	315 return retval;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	316 }
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	317 else
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	318 {
8927 d75f4ee0538d qz.cc (Fqz): avoid maybe clobbred by vfork warning from GCC John W. Eaton <jwe@octave.org> parents: 8920 diff changeset	319 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	320
d75f4ee0538d qz.cc (Fqz): avoid maybe clobbred by vfork warning from GCC John W. Eaton <jwe@octave.org> parents: 8920 diff changeset	321 if (! tmp.empty ())
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	322 ord_job = tmp[0];
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	323
8927 d75f4ee0538d qz.cc (Fqz): avoid maybe clobbred by vfork warning from GCC John W. Eaton <jwe@octave.org> parents: 8920 diff changeset	324 if (! (ord_job == 'N' \|\| ord_job == 'n'
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	325 \|\| ord_job == 'S' \|\| ord_job == 's'
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	326 \|\| ord_job == 'B' \|\| ord_job == 'b'
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	327 \|\| ord_job == '+' \|\| ord_job == '-'))
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	328 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	329 error ("qz: invalid order option");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	330 return retval;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	331 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	332
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	333 // overflow constant required by dlag2
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	334 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	335 safmin
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	336 F77_CHAR_ARG_LEN (1));
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	337
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	338 #ifdef DEBUG_EIG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	339 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	340 << safmin << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	341 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	342
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	343 // some machines (e.g., DEC alpha) get safmin = 0;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	344 // for these, use eps instead to avoid problems in dlag2
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	345 if (safmin == 0)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	346 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	347 #ifdef DEBUG_EIG
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	348 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	349 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	350
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	351 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	352 safmin
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	353 F77_CHAR_ARG_LEN (1));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	354
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	355 #ifdef DEBUG_EIG
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	356 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	357 << safmin << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	358 #endif
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	359 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	360 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	361
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	362 #ifdef DEBUG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	363 std::cout << "qz: check argument 1" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	364 #endif
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 // 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	367 octave_idx_type nn = args(0).rows ();
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	368
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	369 #ifdef DEBUG
3531 97cf542676e1 [project @ 2000-02-02 11:30:40 by jwe] jwe parents: 3523 diff changeset	370 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	371 << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	372 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	373
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	374 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	375
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	376 if (arg_is_empty < 0)
3185 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 gripe_empty_arg ("qz: parameter 1", 0);
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	379 return retval;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	380 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	381 else if (arg_is_empty > 0)
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	382 {
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	383 gripe_empty_arg ("qz: parameter 1; continuing", 0);
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	384 return octave_value_list (2, Matrix ());
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	385 }
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	386 else if (args(0).columns () != nn)
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	387 {
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	388 gripe_square_matrix_required ("qz");
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	389 return retval;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	390 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	391
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	392 // Argument 1: dimensions look good; get the value
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	393 Matrix aa;
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	394 ComplexMatrix caa;
3185 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 if (args(0).is_complex_type ())
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	397 caa = args(0).complex_matrix_value ();
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	398 else
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	399 aa = args(0).matrix_value ();
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	400
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	401 if (error_state)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	402 return retval;
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	403
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	404 #ifdef DEBUG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	405 std::cout << "qz: check argument 2" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	406 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	407
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	408 // Extract argument 2 (bb, or cbb if complex)
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	409 if ((nn != args(1).columns ()) \|\| (nn != args(1).rows ()))
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	410 {
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	411 gripe_nonconformant ();
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	412 return retval;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	413 }
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	414
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	415 Matrix bb;
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	416 ComplexMatrix cbb;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	417
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	418 if (args(1).is_complex_type ())
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	419 cbb = args(1).complex_matrix_value ();
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	420 else
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	421 bb = args(1).matrix_value ();
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	422
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	423 if (error_state)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	424 return retval;
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	425
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	426 // Both matrices loaded, now let's check what kind of arithmetic:
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	427 //declared static to avoid compiler warnings about long jumps, vforks.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	428
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	429 static int complex_case
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	430 = (args(0).is_complex_type () \|\| args(1).is_complex_type ());
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	431
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	432 if (nargin == 3 && complex_case)
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	433 {
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	434 error ("qz: cannot re-order complex qz decomposition.");
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	435 return retval;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	436 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	437
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	438 // first, declare variables used in both the real and complex case
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	439 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	440 RowVector alphar(nn), alphai(nn), betar(nn);
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	441
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	442 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	443 octave_idx_type ilo, ihi, info;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	444 char compq = (nargout >= 3 ? 'V' : 'N');
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	445 char compz = (nargout >= 4 ? 'V' : 'N');
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	446
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	447 // initialize Q, Z to identity if we need either of them
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	448 if (compq == 'V' \|\| compz == 'V')
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	449 for (octave_idx_type ii = 0; ii < nn; ii++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	450 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	451 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	452 OCTAVE_QUIT;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	453 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	454 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	455
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	456 // always perform permutation balancing
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	457 const char bal_job = 'P';
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	458 RowVector lscale(nn), rscale(nn), work(6*nn);
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	459
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	460 if (complex_case)
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	461 {
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	462 error ("Complex case not implemented yet");
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	463 return retval;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	464 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	465 else
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	466 {
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	467 #ifdef DEBUG
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	468 if (compq == 'V')
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	469 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	470 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	471
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	472 F77_XFCN (dggbal, DGGBAL,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	473 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	474 nn, aa.fortran_vec (), nn, bb.fortran_vec (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	475 nn, ilo, ihi, lscale.fortran_vec (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	476 rscale.fortran_vec (), work.fortran_vec (), info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	477 F77_CHAR_ARG_LEN (1)));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	478 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	479
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	480 // Since we just want the balancing matrices, we can use dggbal
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	481 // for both the real and complex cases;
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	482 // left first
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	483
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	484 if (compq == 'V')
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	485 {
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	486 F77_XFCN (dggbak, DGGBAK,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	487 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	488 F77_CONST_CHAR_ARG2 ("L", 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	489 nn, ilo, ihi, lscale.data (), rscale.data (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	490 nn, QQ.fortran_vec (), nn, info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	491 F77_CHAR_ARG_LEN (1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	492 F77_CHAR_ARG_LEN (1)));
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	493
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	494 #ifdef DEBUG
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	495 if (compq == 'V')
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	496 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	497 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	498 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	499
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	500 // then right
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	501 if (compz == 'V')
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	502 {
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	503 F77_XFCN (dggbak, DGGBAK,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	504 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	505 F77_CONST_CHAR_ARG2 ("R", 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	506 nn, ilo, ihi, lscale.data (), rscale.data (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	507 nn, ZZ.fortran_vec (), nn, info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	508 F77_CHAR_ARG_LEN (1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	509 F77_CHAR_ARG_LEN (1)));
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	510
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	511 #ifdef DEBUG
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	512 if (compz == 'V')
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	513 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	514 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	515 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	516
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	517 static char qz_job;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	518 qz_job = (nargout < 2 ? 'E' : 'S');
3185 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 if (complex_case)
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	521 {
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	522 // complex case
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	523 if (args(0).is_real_type ())
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	524 caa = ComplexMatrix (aa);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	525
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	526 if (args(1).is_real_type ())
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	527 cbb = ComplexMatrix (bb);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	528
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	529 if (compq == 'V')
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	530 CQ = ComplexMatrix (QQ);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	531
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	532 if (compz == 'V')
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	533 CZ = ComplexMatrix (ZZ);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	534
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	535 error ("complex case not done yet");
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	536 return retval;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	537 }
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	538 else // real matrices case
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	539 {
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	540 #ifdef DEBUG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	541 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	542 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	543
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	544 // compute the QR factorization of bb
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	545 QR bqr (bb);
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	546
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	547 #ifdef DEBUG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	548 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	549 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	550
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	551 bb = bqr.R ();
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	552
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	553 #ifdef DEBUG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	554 std::cout << "qz: extracted bb" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	555 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	556
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	557 aa = (bqr.Q ()).transpose ()*aa;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	558
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	559 #ifdef DEBUG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	560 std::cout << "qz: updated aa " << std::endl;
0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	561 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	562
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	563 if (compq == 'V')
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	564 std::cout << "QQ =" << QQ << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	565 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	566
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	567 if (compq == 'V')
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	568 QQ = QQ*bqr.Q ();
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	569
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	570 #ifdef DEBUG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	571 std::cout << "qz: precursors done..." << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	572 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	573
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	574 #ifdef DEBUG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	575 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	576 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	577
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	578 // reduce to generalized hessenberg form
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	579 F77_XFCN (dgghrd, DGGHRD,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	580 (F77_CONST_CHAR_ARG2 (&compq, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	581 F77_CONST_CHAR_ARG2 (&compz, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	582 nn, ilo, ihi, aa.fortran_vec (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	583 nn, bb.fortran_vec (), nn, QQ.fortran_vec (), nn,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	584 ZZ.fortran_vec (), nn, info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	585 F77_CHAR_ARG_LEN (1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	586 F77_CHAR_ARG_LEN (1)));
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	587
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	588 // check if just computing generalized eigenvalues or if we're
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	589 // actually computing the decomposition
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	590
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	591 // reduce to generalized Schur form
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	592 F77_XFCN (dhgeqz, DHGEQZ,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	593 (F77_CONST_CHAR_ARG2 (&qz_job, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	594 F77_CONST_CHAR_ARG2 (&compq, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	595 F77_CONST_CHAR_ARG2 (&compz, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	596 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	597 nn, alphar.fortran_vec (), alphai.fortran_vec (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	598 betar.fortran_vec (), QQ.fortran_vec (), nn,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	599 ZZ.fortran_vec (), nn, work.fortran_vec (), nn, info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	600 F77_CHAR_ARG_LEN (1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	601 F77_CHAR_ARG_LEN (1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	602 F77_CHAR_ARG_LEN (1)));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	603 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	604
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	605 // 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	606 if (! (ord_job == 'N' \|\| ord_job == 'n'))
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	607 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	608 if (complex_case)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	609 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	610 // probably not needed, but better be safe
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	611 error ("qz: cannot re-order complex qz decomposition.");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	612 return retval;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	613 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	614 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	615 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	616 #ifdef DEBUG_SORT
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	617 std::cout << "qz: ordering eigenvalues: ord_job = "
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	618 << ord_job << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	619 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	620
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	621 // declared static to avoid vfork/long jump compiler complaints
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	622 static sort_function sort_test;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	623 sort_test = 0;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	624
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	625 switch (ord_job)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	626 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	627 case 'S':
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	628 case 's':
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	629 sort_test = &fin;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	630 break;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	631
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	632 case 'B':
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	633 case 'b':
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	634 sort_test = &fout;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	635 break;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	636
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	637 case '+':
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	638 sort_test = &fcrhp;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	639 break;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	640
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	641 case '-':
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	642 sort_test = &folhp;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	643 break;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	644
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	645 default:
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	646 // invalid order option (should never happen, since we
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	647 // checked the options at the top).
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	648 panic_impossible ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	649 break;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	650 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	651
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	652 octave_idx_type ndim, fail;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	653 double inf_norm;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	654
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	655 F77_XFCN (xdlange, XDLANGE,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	656 (F77_CONST_CHAR_ARG2 ("I", 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	657 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	658 F77_CHAR_ARG_LEN (1)));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	659
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	660 double eps = DBL_EPSILONinf_normnn;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	661
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	662 #ifdef DEBUG_SORT
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	663 std::cout << "qz: calling dsubsp: aa=" << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	664 octave_print_internal (std::cout, aa, 0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	665 std::cout << std::endl << "bb=" << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	666 octave_print_internal (std::cout, bb, 0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	667 if (compz == 'V')
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	668 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	669 std::cout << std::endl << "ZZ=" << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	670 octave_print_internal (std::cout, ZZ, 0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	671 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	672 std::cout << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	673 std::cout << "alphar = " << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	674 octave_print_internal (std::cout, (Matrix) alphar, 0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	675 std::cout << std::endl << "alphai = " << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	676 octave_print_internal (std::cout, (Matrix) alphai, 0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	677 std::cout << std::endl << "beta = " << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	678 octave_print_internal (std::cout, (Matrix) betar, 0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	679 std::cout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	680 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	681
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	682 Array<octave_idx_type> ind (nn);
3550 bc492f4a94cb [project @ 2000-02-03 01:36:30 by jwe] jwe parents: 3538 diff changeset	683
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	684 F77_XFCN (dsubsp, DSUBSP,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	685 (nn, nn, aa.fortran_vec (), bb.fortran_vec (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	686 ZZ.fortran_vec (), sort_test, eps, ndim, fail,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	687 ind.fortran_vec ()));
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
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	690 std::cout << "qz: back from dsubsp: aa=" << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	691 octave_print_internal (std::cout, aa, 0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	692 std::cout << std::endl << "bb=" << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	693 octave_print_internal (std::cout, bb, 0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	694 if (compz == 'V')
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	695 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	696 std::cout << std::endl << "ZZ=" << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	697 octave_print_internal (std::cout, ZZ, 0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	698 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	699 std::cout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	700 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	701
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	702 // manually update alphar, alphai, betar
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	703 static int jj;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	704
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	705 jj=0;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	706 while (jj < nn)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	707 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	708 #ifdef DEBUG_EIG
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	709 std::cout << "computing gen eig #" << jj << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	710 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	711
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	712 static int zcnt; // number of zeros in this block
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	713
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	714 if (jj == (nn-1))
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	715 zcnt = 1;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	716 else if (aa(jj+1,jj) == 0)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	717 zcnt = 1;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	718 else zcnt = 2;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	719
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	720 if (zcnt == 1) // real zero
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	721 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	722 #ifdef DEBUG_EIG
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	723 std::cout << " single gen eig:" << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	724 std::cout << " alphar(" << jj << ") = " << aa(jj,jj) << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	725 std::cout << " betar( " << jj << ") = " << bb(jj,jj) << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	726 std::cout << " alphai(" << jj << ") = 0" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	727 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	728
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	729 alphar(jj) = aa(jj,jj);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	730 alphai(jj) = 0;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	731 betar(jj) = bb(jj,jj);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	732 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	733 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	734 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	735 // complex conjugate pair
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	736 #ifdef DEBUG_EIG
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	737 std::cout << "qz: calling dlag2:" << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	738 std::cout << "safmin="
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	739 << setiosflags (std::ios::scientific) << safmin << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	740
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	741 for (int idr = jj; idr <= jj+1; idr++)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	742 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	743 for (int idc = jj; idc <= jj+1; idc++)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	744 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	745 std::cout << "aa(" << idr << "," << idc << ")="
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	746 << aa(idr,idc) << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	747 std::cout << "bb(" << idr << "," << idc << ")="
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	748 << bb(idr,idc) << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	749 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	750 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	751 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	752
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	753 // FIXME -- probably should be using
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	754 // fortran_vec instead of &aa(jj,jj) here.
4566 30ba814d6700 [project @ 2003-10-29 15:06:29 by jwe] jwe parents: 4552 diff changeset	755
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	756 double scale1, scale2, wr1, wr2, wi;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	757 const double aa_ptr = aa.data () + jjnn+jj;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	758 const double bb_ptr = bb.data () + jjnn+jj;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	759 F77_XFCN (dlag2, DLAG2,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	760 (aa_ptr, nn, bb_ptr, nn, safmin,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	761 scale1, scale2, wr1, wr2, wi));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	762
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	763 #ifdef DEBUG_EIG
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	764 std::cout << "dlag2 returns: scale1=" << scale1
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	765 << "\tscale2=" << scale2 << std::endl
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	766 << "\twr1=" << wr1 << "\twr2=" << wr2
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	767 << "\twi=" << wi << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	768 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	769
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	770 // just to be safe, check if it's a real pair
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	771 if (wi == 0)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	772 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	773 alphar(jj) = wr1;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	774 alphai(jj) = 0;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	775 betar(jj) = scale1;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	776 alphar(jj+1) = wr2;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	777 alphai(jj+1) = 0;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	778 betar(jj+1) = scale2;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	779 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	780 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	781 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	782 alphar(jj) = alphar(jj+1)=wr1;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	783 alphai(jj) = -(alphai(jj+1) = wi);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	784 betar(jj) = betar(jj+1) = scale1;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	785 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	786 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	787
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	788 // advance past this block
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	789 jj += zcnt;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	790 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	791
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	792 #ifdef DEBUG_SORT
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	793 std::cout << "qz: back from dsubsp: aa=" << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	794 octave_print_internal (std::cout, aa, 0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	795 std::cout << std::endl << "bb=" << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	796 octave_print_internal (std::cout, bb, 0);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	797
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	798 if (compz == 'V')
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	799 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	800 std::cout << std::endl << "ZZ=" << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	801 octave_print_internal (std::cout, ZZ, 0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	802 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	803 std::cout << std::endl << "qz: ndim=" << ndim << std::endl
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	804 << "fail=" << fail << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	805 std::cout << "alphar = " << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	806 octave_print_internal (std::cout, (Matrix) alphar, 0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	807 std::cout << std::endl << "alphai = " << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	808 octave_print_internal (std::cout, (Matrix) alphai, 0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	809 std::cout << std::endl << "beta = " << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	810 octave_print_internal (std::cout, (Matrix) betar, 0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	811 std::cout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	812 #endif
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	813 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	814 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	815
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	816 // compute generalized eigenvalues?
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	817 ComplexColumnVector gev;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	818
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	819 if (nargout < 2 \|\| nargout == 7 \|\| (nargin == 3 && nargout == 4))
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	820 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	821 if (complex_case)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	822 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	823 error ("complex case not yet implemented");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	824 return retval;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	825 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	826 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	827 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	828 #ifdef DEBUG
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	829 std::cout << "qz: computing generalized eigenvalues" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	830 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	831
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	832 // return finite generalized eigenvalues
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	833 int cnt = 0;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	834
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	835 for (int ii = 0; ii < nn; ii++)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	836 if (betar(ii) != 0)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	837 cnt++;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	838
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	839 ComplexColumnVector tmp(cnt);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	840
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	841 cnt = 0;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	842 for (int ii = 0; ii < nn; ii++)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	843 if (betar(ii) != 0)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	844 tmp(cnt++) = Complex(alphar(ii), alphai(ii))/betar(ii);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	845 gev = tmp;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	846 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	847 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	848
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	849 // right, left eigenvector matrices
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	850 if (nargout >= 5)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	851 {
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	852 char side = (nargout == 5 ? 'R' : 'B'); // which side to compute?
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	853 char howmny = 'B'; // compute all of them and backtransform
7520 b166043585a8 use 0 instead of NULL John W. Eaton <jwe@octave.org> parents: 7482 diff changeset	854 octave_idx_type *select = 0; // dummy pointer; select is not used.
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5016 diff changeset	855 octave_idx_type m;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	856
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	857 if (complex_case)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	858 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	859 error ("complex type not yet implemented");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	860 return retval;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	861 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	862 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	863 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	864 #ifdef DEBUG
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	865 std::cout << "qz: computing generalized eigenvectors" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	866 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	867
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	868 VL = QQ;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	869 VR = ZZ;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	870
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	871 F77_XFCN (dtgevc, DTGEVC,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	872 (F77_CONST_CHAR_ARG2 (&side, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	873 F77_CONST_CHAR_ARG2 (&howmny, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	874 select, nn, aa.fortran_vec (), nn, bb.fortran_vec (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	875 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	876 m, work.fortran_vec (), info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	877 F77_CHAR_ARG_LEN (1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	878 F77_CHAR_ARG_LEN (1)));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	879
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	880 // now construct the complex form of VV, WW
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	881 int jj = 0;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	882
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	883 while (jj < nn)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	884 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	885 OCTAVE_QUIT;
4153 6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4051 diff changeset	886
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	887 // see if real or complex eigenvalue
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	888 int cinc = 2; // column increment; assume complex eigenvalue
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	889
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	890 if (jj == (nn-1))
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	891 cinc = 1; // single column
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	892 else if (aa(jj+1,jj) == 0)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	893 cinc = 1;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	894
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	895 // now copy the eigenvector (s) to CVR, CVL
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	896 if (cinc == 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	897 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	898 for (int ii = 0; ii < nn; ii++)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	899 CVR(ii,jj) = VR(ii,jj);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	900
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	901 if (side == 'B')
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	902 for (int ii = 0; ii < nn; ii++)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	903 CVL(ii,jj) = VL(ii,jj);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	904 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	905 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	906 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	907 // double column; complex vector
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	908
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	909 for (int ii = 0; ii < nn; ii++)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	910 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	911 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	912 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	913 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	914
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	915 if (side == 'B')
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	916 for (int ii = 0; ii < nn; ii++)
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 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	919 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	920 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	921 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	922
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	923 // advance to next eigenvectors (if any)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	924 jj += cinc;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	925 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	926 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	927 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	928
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	929 switch (nargout)
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	930 {
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	931 case 7:
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	932 retval(6) = gev;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	933
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	934 case 6: // return eigenvectors
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	935 retval(5) = CVL;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	936
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	937 case 5: // return eigenvectors
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	938 retval(4) = CVR;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	939
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	940 case 4:
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	941 if (nargin == 3)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	942 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	943 #ifdef DEBUG
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	944 std::cout << "qz: sort: retval(3) = gev = " << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	945 octave_print_internal (std::cout, gev);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	946 std::cout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	947 #endif
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	948 retval(3) = gev;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	949 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	950 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	951 retval(3) = ZZ;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	952
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	953 case 3:
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	954 if (nargin == 3)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	955 retval(2) = ZZ;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	956 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	957 retval(2) = QQ;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	958
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	959 case 2:
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	960 #ifdef DEBUG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	961 std::cout << "qz: retval (1) = bb = " << std::endl;
3531 97cf542676e1 [project @ 2000-02-02 11:30:40 by jwe] jwe parents: 3523 diff changeset	962 octave_print_internal (std::cout, bb, 0);
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	963 std::cout << std::endl << "qz: retval(0) = aa = " <<std::endl;
3531 97cf542676e1 [project @ 2000-02-02 11:30:40 by jwe] jwe parents: 3523 diff changeset	964 octave_print_internal (std::cout, aa, 0);
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	965 std::cout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	966 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	967 retval(1) = bb;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	968 retval(0) = aa;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	969 break;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	970
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	971 case 1:
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	972 case 0:
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	973 #ifdef DEBUG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	974 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	975 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	976 retval(0) = gev;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	977 break;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	978
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	979 default:
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	980 error ("qz: too many return arguments.");
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	981 break;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	982 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	983
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	984 #ifdef DEBUG
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	985 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	986 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	987
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	988 return retval;
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	989 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	990
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	991 /*
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	992 ;;; Local Variables: ***
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	993 ;;; mode: C++ ***
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	994 ;;; End: ***
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	995 */

Mercurial > octave-nkf

annotate src/DLD-FUNCTIONS/qz.cc @ 10154:40dfc0c99116