octave: libinterp/corefcn/qz.cc annotate

annotate libinterp/corefcn/qz.cc @ 23429:b976347c1341

maint: Merge stable to default.

author	Rik <rik@octave.org>
date	Sat, 22 Apr 2017 20:56:13 -0700
parents	092078913d54 1bc0e610e293
children	32d532b8e7d0

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
23219 3ac9f9ecfae5 maint: Update copyright dates. John W. Eaton <jwe@octave.org> parents: 23083 diff changeset	3 Copyright (C) 1998-2017 A. S. Hodel
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	4
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	5 This file is part of Octave.
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	6
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	7 Octave is free software; you can redistribute it and/or modify it
22755 3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22407 diff changeset	8 under the terms of the GNU General Public License as published by
3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22407 diff changeset	9 the Free Software Foundation; either version 3 of the License, or
3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22407 diff changeset	10 (at your option) any later version.
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	11
22755 3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22407 diff changeset	12 Octave is distributed in the hope that it will be useful, but
3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22407 diff changeset	13 WITHOUT ANY WARRANTY; without even the implied warranty of
3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22407 diff changeset	14 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22407 diff changeset	15 GNU General Public License for more details.
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	16
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	17 You should have received a copy of the GNU General Public License
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 5823 diff changeset	18 along with Octave; see the file COPYING. If not, see
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 5823 diff changeset	19 <http://www.gnu.org/licenses/>.
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	20
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 // Generalized eigenvalue balancing via LAPACK
3911 8389e78e67d4 [project @ 2002-04-28 02:15:38 by jwe] jwe parents: 3887 diff changeset	24
8389e78e67d4 [project @ 2002-04-28 02:15:38 by jwe] jwe parents: 3887 diff changeset	25 // Author: A. S. Hodel <scotte@eng.auburn.edu>
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	26
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	27 #undef DEBUG
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	28 #undef DEBUG_SORT
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	29 #undef DEBUG_EIG
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	30
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	31 #if defined (HAVE_CONFIG_H)
21301 40de9f8f23a6 Use '#include "config.h"' rather than <config.h>. Rik <rik@octave.org> parents: 21279 diff changeset	32 # include "config.h"
9786 2c279308f6ab fix includes in some src/DLD-FUNCTIONS files John W. Eaton <jwe@octave.org> parents: 9758 diff changeset	33 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	34
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	35 #include <cfloat>
4051 b79da8779a0e [project @ 2002-08-17 19:38:32 by jwe] jwe parents: 3911 diff changeset	36
3523 b80bbb43a1a9 [project @ 2000-02-02 10:25:52 by jwe] jwe parents: 3500 diff changeset	37 #include <iostream>
4051 b79da8779a0e [project @ 2002-08-17 19:38:32 by jwe] jwe parents: 3911 diff changeset	38 #include <iomanip>
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	39
4153 6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4051 diff changeset	40 #include "f77-fcn.h"
22322 93b3cdd36854 move most f77 function decls to separate header files John W. Eaton <jwe@octave.org> parents: 22317 diff changeset	41 #include "lo-lapack-proto.h"
7231 2eb392d058bb [project @ 2007-11-30 18:53:29 by jwe] jwe parents: 7017 diff changeset	42 #include "lo-math.h"
21279 eb1524b07fe3 better use of templates for qr classes John W. Eaton <jwe@octave.org> parents: 21200 diff changeset	43 #include "qr.h"
4153 6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4051 diff changeset	44 #include "quit.h"
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4051 diff changeset	45
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14876 diff changeset	46 #include "defun.h"
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	47 #include "error.h"
21100 e39e05d90788 Switch gripe_XXX to either err_XXX or warn_XXX naming scheme. Rik <rik@octave.org> parents: 21024 diff changeset	48 #include "errwarn.h"
20940 48b2ad5ee801 maint: Rename oct-obj.[cc\|h] to ovl.[cc\|h] for clarity. Rik <rik@octave.org> parents: 20892 diff changeset	49 #include "ovl.h"
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	50 #include "oct-map.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	51 #include "ov.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	52 #include "pager.h"
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	53 #if defined (DEBUG) \|\| defined (DEBUG_SORT)
21200 fcac5dbbf9ed maint: Indent #ifdef blocks in libinterp. Rik <rik@octave.org> parents: 21110 diff changeset	54 # include "pr-output.h"
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	55 #endif
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	56 #include "symtab.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	57 #include "utils.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	58 #include "variables.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	59
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	60 typedef F77_INT (*sort_function) (const F77_INT& LSIZE,
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	61 const double& ALPHA, const double& BETA,
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	62 const double& S, const double& P);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	63
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	64 extern "C"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	65 {
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	66 // Van Dooren's code (netlib.org: toms/590) for reordering
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	67 // GEP. Only processes Z, not Q.
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	68 F77_RET_T
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	69 F77_FUNC (dsubsp, DSUBSP) (const F77_INT& NMAX, const F77_INT& N,
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	70 F77_DBLE* A, F77_DBLE* B, F77_DBLE* Z,
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	71 sort_function, const F77_DBLE& EPS,
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	72 F77_INT& NDIM, F77_INT& FAIL, F77_INT* IND);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	73 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	74
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	75 // fcrhp, fin, fout, folhp:
21562 6c2fd62db1f7 maint: Eliminate accidental double spaces in code. Rik <rik@octave.org> parents: 21301 diff changeset	76 // Routines for ordering of generalized eigenvalues.
6c2fd62db1f7 maint: Eliminate accidental double spaces in code. Rik <rik@octave.org> parents: 21301 diff changeset	77 // Return 1 if test is passed, 0 otherwise.
6c2fd62db1f7 maint: Eliminate accidental double spaces in code. Rik <rik@octave.org> parents: 21301 diff changeset	78 // fin: \|lambda\| < 1
6c2fd62db1f7 maint: Eliminate accidental double spaces in code. Rik <rik@octave.org> parents: 21301 diff changeset	79 // fout: \|lambda\| >= 1
6c2fd62db1f7 maint: Eliminate accidental double spaces in code. Rik <rik@octave.org> parents: 21301 diff changeset	80 // fcrhp: real(lambda) >= 0
6c2fd62db1f7 maint: Eliminate accidental double spaces in code. Rik <rik@octave.org> parents: 21301 diff changeset	81 // folhp: real(lambda) < 0
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	82
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	83 static F77_INT
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	84 fcrhp (const F77_INT& lsize, const double& alpha, const double& beta,
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	85 const double& s, const double&)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	86 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	87 if (lsize == 1)
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	88 return (alpha * beta >= 0 ? 1 : -1);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	89 else
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	90 return (s >= 0 ? 1 : -1);
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	91 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	92
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	93 static F77_INT
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	94 fin (const F77_INT& lsize, const double& alpha, const double& beta,
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	95 const double&, const double& p)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	96 {
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	97 F77_INT retval;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	98
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	99 if (lsize == 1)
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	100 retval = (fabs (alpha) < fabs (beta) ? 1 : -1);
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	101 else
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	102 retval = (fabs (p) < 1 ? 1 : -1);
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	103
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	104 #if defined (DEBUG)
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	105 std::cout << "qz: fin: retval=" << retval << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	106 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	107
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	108 return retval;
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	109 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	110
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	111 static F77_INT
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	112 folhp (const F77_INT& lsize, const double& alpha, const double& beta,
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	113 const double& s, const double&)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	114 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	115 if (lsize == 1)
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	116 return (alpha * beta < 0 ? 1 : -1);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	117 else
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	118 return (s < 0 ? 1 : -1);
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	119 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	120
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	121 static F77_INT
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	122 fout (const F77_INT& lsize, const double& alpha, const double& beta,
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	123 const double&, const double& p)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	124 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	125 if (lsize == 1)
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	126 return (fabs (alpha) >= fabs (beta) ? 1 : -1);
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	127 else
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	128 return (fabs (p) >= 1 ? 1 : -1);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	129 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	130
13074 0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	131 //FIXME: Matlab does not produce lambda as the first output argument.
0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	132 // Compatibility problem?
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14876 diff changeset	133 DEFUN (qz, args, nargout,
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	134 doc: /* -- texinfo --
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	135 @deftypefn {} {@var{lambda} =} qz (@var{A}, @var{B})
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	136 @deftypefnx {} {[@var{AA}, @var{BB}, @var{Q}, @var{Z}, @var{V}, @var{W}, @var{lambda}] =} qz (@var{A}, @var{B})
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	137 @deftypefnx {} {[@var{AA}, @var{BB}, @var{Z}] =} qz (@var{A}, @var{B}, @var{opt})
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	138 @deftypefnx {} {[@var{AA}, @var{BB}, @var{Z}, @var{lambda}] =} qz (@var{A}, @var{B}, @var{opt})
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	139 QZ@tie{}decomposition of the generalized eigenvalue problem
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	140 @tex
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	141 $$A x = \lambda B x$$
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	142 @end tex
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	143 @ifnottex
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	144
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	145 @math{A x = @var{lambda} B x}
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	146
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	147 @end ifnottex
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	148
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	149 There are three calling forms of the function:
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	150
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	151 @enumerate
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	152 @item @code{@var{lambda} = qz (@var{A}, @var{B})}
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	153
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	154 Compute the generalized eigenvalues
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	155 @tex
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	156 $\lambda.$
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	157 @end tex
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	158 @ifnottex
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	159 @var{lambda}.
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	160 @end ifnottex
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	161
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	162 @item @code{[@var{AA}, @var{BB}, @var{Q}, @var{Z}, @var{V}, @var{W}, @var{lambda}] = qz (@var{A}, @var{B})}
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	163
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	164 Compute QZ@tie{}decomposition, generalized eigenvectors, and generalized
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	165 eigenvalues.
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	166 @tex
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	167 $$ AV = BV{ \rm diag }(\lambda) $$
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	168 $$ W^T A = { \rm diag }(\lambda)W^T B $$
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	169 $$ AA = Q^T AZ, BB = Q^T BZ $$
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	170 @end tex
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	171 @ifnottex
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	172
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	173 @example
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	174 @group
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	175
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	176 @var{A} * @var{V} = @var{B} * @var{V} * diag (@var{lambda})
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	177 @var{W}' * @var{A} = diag (@var{lambda}) * @var{W}' * @var{B}
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	178 @var{AA} = @var{Q} * @var{A} * @var{Z}, @var{BB} = @var{Q} * @var{B} * @var{Z}
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	179
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	180 @end group
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	181 @end example
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	182
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	183 @end ifnottex
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	184 with @var{Q} and @var{Z} orthogonal (unitary for complex case).
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	185
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	186 @item @code{[@var{AA}, @var{BB}, @var{Z} @{, @var{lambda}@}] = qz (@var{A}, @var{B}, @var{opt})}
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	187
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	188 As in form 2 above, but allows ordering of generalized eigenpairs for, e.g.,
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	189 solution of discrete time algebraic Riccati equations. Form 3 is not available
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	190 for complex matrices, and does not compute the generalized eigenvectors
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	191 @var{V}, @var{W}, nor the orthogonal matrix @var{Q}.
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	192
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	193 @table @var
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	194 @item opt
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	195 for ordering eigenvalues of the @nospell{GEP} pencil. The leading block of
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	196 the revised pencil contains all eigenvalues that satisfy:
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	197
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	198 @table @asis
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	199 @item @qcode{"N"}
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	200 unordered (default)
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	201
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	202 @item @qcode{"S"}
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	203 small: leading block has all
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	204 @tex
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	205 $\|\lambda\| < 1$
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	206 @end tex
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	207 @ifnottex
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	208 \|@var{lambda}\| < 1
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	209 @end ifnottex
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	210
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	211 @item @qcode{"B"}
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	212 big: leading block has all
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	213 @tex
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	214 $\|\lambda\| \geq 1$
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	215 @end tex
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	216 @ifnottex
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	217 \|@var{lambda}\| @geq{} 1
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	218 @end ifnottex
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	219
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	220 @item @qcode{"-"}
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	221 negative real part: leading block has all eigenvalues in the open left
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	222 half-plane
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	223
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	224 @item @qcode{"+"}
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	225 non-negative real part: leading block has all eigenvalues in the closed right
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	226 half-plane
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	227 @end table
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	228 @end table
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	229 @end enumerate
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	230
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	231 Note: @code{qz} performs permutation balancing, but not scaling
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	232 (@pxref{XREFbalance}), which may be lead to less accurate results than
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	233 @code{eig}. The order of output arguments was selected for compatibility with
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	234 @sc{matlab}.
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	235 @seealso{eig, balance, lu, chol, hess, qr, qzhess, schur, svd}
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	236 @end deftypefn */)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	237 {
22137 37f41acc2c39 avoid GCC warning about longjmp possibly clobbering variable John W. Eaton <jwe@octave.org> parents: 22135 diff changeset	238 volatile int nargin = args.length ();
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	239
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	240 #if defined (DEBUG)
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	241 std::cout << "qz: nargin = " << nargin
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	242 << ", nargout = " << nargout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	243 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	244
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	245 if (nargin < 2 \|\| nargin > 3 \|\| nargout > 7)
20802 8bb38ba1bad6 eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20700 diff changeset	246 print_usage ();
8bb38ba1bad6 eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20700 diff changeset	247
8bb38ba1bad6 eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20700 diff changeset	248 if (nargin == 3 && (nargout < 3 \|\| nargout > 4))
8bb38ba1bad6 eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20700 diff changeset	249 error ("qz: invalid number of output arguments for form [3] call");
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	250
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	251 #if defined (DEBUG)
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	252 std::cout << "qz: determine ordering option" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	253 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	254
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	255 // 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	256 volatile char ord_job = 0;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	257 static double safmin;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	258
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	259 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	260 ord_job = 'N';
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	261 else
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	262 {
20700 68e3a747ca02 rename octave_value value extractors that accept error message args John W. Eaton <jwe@octave.org> parents: 20581 diff changeset	263 std::string tmp = args(2).xstring_value ("qz: OPT must be a string");
8927 d75f4ee0538d qz.cc (Fqz): avoid maybe clobbred by vfork warning from GCC John W. Eaton <jwe@octave.org> parents: 8920 diff changeset	264
d75f4ee0538d qz.cc (Fqz): avoid maybe clobbred by vfork warning from GCC John W. Eaton <jwe@octave.org> parents: 8920 diff changeset	265 if (! tmp.empty ())
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	266 ord_job = tmp[0];
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	267
8927 d75f4ee0538d qz.cc (Fqz): avoid maybe clobbred by vfork warning from GCC John W. Eaton <jwe@octave.org> parents: 8920 diff changeset	268 if (! (ord_job == 'N' \|\| ord_job == 'n'
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	269 \|\| ord_job == 'S' \|\| ord_job == 's'
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	270 \|\| ord_job == 'B' \|\| ord_job == 'b'
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	271 \|\| ord_job == '+' \|\| ord_job == '-'))
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	272 error ("qz: invalid order option");
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	273
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	274 // overflow constant required by dlag2
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	275 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	276 safmin
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	277 F77_CHAR_ARG_LEN (1));
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	278
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	279 #if defined (DEBUG_EIG)
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	280 std::cout << "qz: initial value of safmin="
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	281 << setiosflags (std::ios::scientific)
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	282 << safmin << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	283 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	284
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	285 // Some machines (e.g., DEC alpha) get safmin = 0;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	286 // for these, use eps instead to avoid problems in dlag2.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	287 if (safmin == 0)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	288 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	289 #if defined (DEBUG_EIG)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	290 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	291 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	292
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	293 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	294 safmin
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	295 F77_CHAR_ARG_LEN (1));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	296
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	297 #if defined (DEBUG_EIG)
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	298 std::cout << "qz: safmin set to "
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	299 << setiosflags (std::ios::scientific)
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	300 << safmin << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	301 #endif
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	302 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	303 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	304
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	305 #if defined (DEBUG)
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	306 std::cout << "qz: check argument 1" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	307 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	308
21751 b571fc85953f maint: Use two spaces after period to indicate sentence break. Rik <rik@octave.org> parents: 21724 diff changeset	309 // Argument 1: check if it's okay dimensioned.
22988 cd33c785e80e put to_f77_int inside octave namespace John W. Eaton <jwe@octave.org> parents: 22964 diff changeset	310 F77_INT nn = octave::to_f77_int (args(0).rows ());
cd33c785e80e put to_f77_int inside octave namespace John W. Eaton <jwe@octave.org> parents: 22964 diff changeset	311 F77_INT nc = octave::to_f77_int (args(0).columns ());
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	312
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	313 #if defined (DEBUG)
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	314 std::cout << "argument 1 dimensions: ("
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	315 << nn << "," << nc << ")"
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	316 << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	317 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	318
20892 c07bee629973 2015 Code Sprint: use ovl (). Rik <rik@octave.org> parents: 20853 diff changeset	319 octave_value_list retval;
c07bee629973 2015 Code Sprint: use ovl (). Rik <rik@octave.org> parents: 20853 diff changeset	320
22372 0c0de2205d38 utils.h: deprecated out of date arg_is_empty function. Carnë Draug <carandraug@octave.org> parents: 22323 diff changeset	321 if (args(0).is_empty ())
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	322 {
21100 e39e05d90788 Switch gripe_XXX to either err_XXX or warn_XXX naming scheme. Rik <rik@octave.org> parents: 21024 diff changeset	323 warn_empty_arg ("qz: parameter 1; continuing");
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	324 return octave_value_list (2, Matrix ());
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	325 }
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	326 else if (nc != nn)
21110 3d0d84305600 Use err_square_matrix_required more widely. Rik <rik@octave.org> parents: 21100 diff changeset	327 err_square_matrix_required ("qz", "A");
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	328
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	329 // Argument 1: dimensions look good; get the value.
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	330 Matrix aa;
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	331 ComplexMatrix caa;
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 if (args(0).is_complex_type ())
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	334 caa = args(0).complex_matrix_value ();
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	335 else
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	336 aa = args(0).matrix_value ();
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	337
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	338 #if defined (DEBUG)
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	339 std::cout << "qz: check argument 2" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	340 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	341
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	342 // Extract argument 2 (bb, or cbb if complex).
22988 cd33c785e80e put to_f77_int inside octave namespace John W. Eaton <jwe@octave.org> parents: 22964 diff changeset	343 F77_INT b_nr = octave::to_f77_int (args(1).rows ());
cd33c785e80e put to_f77_int inside octave namespace John W. Eaton <jwe@octave.org> parents: 22964 diff changeset	344 F77_INT b_nc = octave::to_f77_int (args(1).columns ());
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	345
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	346 if (nn != b_nc \|\| nn != b_nr)
21100 e39e05d90788 Switch gripe_XXX to either err_XXX or warn_XXX naming scheme. Rik <rik@octave.org> parents: 21024 diff changeset	347 err_nonconformant ();
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	348
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	349 Matrix bb;
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	350 ComplexMatrix cbb;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	351
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	352 if (args(1).is_complex_type ())
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	353 cbb = args(1).complex_matrix_value ();
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	354 else
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	355 bb = args(1).matrix_value ();
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	356
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	357 // Both matrices loaded, now let's check what kind of arithmetic:
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	358 // declared volatile to avoid compiler warnings about long jumps,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	359 // vforks.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	360
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	361 volatile int complex_case
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	362 = (args(0).is_complex_type () \|\| args(1).is_complex_type ());
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	363
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	364 if (nargin == 3 && complex_case)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	365 error ("qz: cannot re-order complex qz decomposition");
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	366
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	367 // First, declare variables used in both the real and complex case.
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	368 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	369 RowVector alphar(nn), alphai(nn), betar(nn);
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	370 ComplexRowVector xalpha(nn), xbeta(nn);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	371 ComplexMatrix CQ(nn,nn), CZ(nn,nn), CVR(nn,nn), CVL(nn,nn);
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	372 F77_INT ilo, ihi, info;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	373 char compq = (nargout >= 3 ? 'V' : 'N');
14876 54a386f2ac4e correcly compute Z for 3-output call to qz (bug #36728) John W. Eaton <jwe@octave.org> parents: 14844 diff changeset	374 char compz = ((nargout >= 4 \|\| nargin == 3)? 'V' : 'N');
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	375
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	376 // Initialize Q, Z to identity if we need either of them.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	377 if (compq == 'V' \|\| compz == 'V')
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	378 for (F77_INT ii = 0; ii < nn; ii++)
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	379 for (F77_INT jj = 0; jj < nn; jj++)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	380 {
22860 0b1e25cc4457 eliminate use of OCTAVE_QUIT macro in C++ sources John W. Eaton <jwe@octave.org> parents: 22755 diff changeset	381 octave_quit ();
0b1e25cc4457 eliminate use of OCTAVE_QUIT macro in C++ sources John W. Eaton <jwe@octave.org> parents: 22755 diff changeset	382
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	383 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	384 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	385
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	386 // Always perform permutation balancing.
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	387 const char bal_job = 'P';
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	388 RowVector lscale (nn), rscale (nn), work (6 * nn), rwork (nn);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	389
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	390 if (complex_case)
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	391 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	392 #if defined (DEBUG)
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	393 if (compq == 'V')
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	394 std::cout << "qz: performing balancing; CQ=" << std::endl
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	395 << CQ << std::endl;
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	396 #endif
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	397 if (args(0).is_real_type ())
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	398 caa = ComplexMatrix (aa);
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	399
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	400 if (args(1).is_real_type ())
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	401 cbb = ComplexMatrix (bb);
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	402
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	403 if (compq == 'V')
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	404 CQ = ComplexMatrix (QQ);
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	405
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	406 if (compz == 'V')
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	407 CZ = ComplexMatrix (ZZ);
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	408
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	409 F77_XFCN (zggbal, ZGGBAL,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	410 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
22407 34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22372 diff changeset	411 nn, F77_DBLE_CMPLX_ARG (caa.fortran_vec ()), nn,
34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22372 diff changeset	412 F77_DBLE_CMPLX_ARG (cbb.fortran_vec ()),
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	413 nn, ilo, ihi, lscale.fortran_vec (),
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	414 rscale.fortran_vec (), work.fortran_vec (), info
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	415 F77_CHAR_ARG_LEN (1)));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	416 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	417 else
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	418 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	419 #if defined (DEBUG)
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	420 if (compq == 'V')
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	421 std::cout << "qz: performing balancing; QQ=" << std::endl
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	422 << QQ << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	423 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	424
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	425 F77_XFCN (dggbal, DGGBAL,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	426 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	427 nn, aa.fortran_vec (), nn, bb.fortran_vec (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	428 nn, ilo, ihi, lscale.fortran_vec (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	429 rscale.fortran_vec (), work.fortran_vec (), info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	430 F77_CHAR_ARG_LEN (1)));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	431 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	432
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	433 // Since we just want the balancing matrices, we can use dggbal
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	434 // for both the real and complex cases; left first
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	435
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	436 #if 0
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	437 if (compq == 'V')
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	438 {
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	439 F77_XFCN (dggbak, DGGBAK,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	440 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	441 F77_CONST_CHAR_ARG2 ("L", 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	442 nn, ilo, ihi, lscale.data (), rscale.data (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	443 nn, QQ.fortran_vec (), nn, info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	444 F77_CHAR_ARG_LEN (1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	445 F77_CHAR_ARG_LEN (1)));
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	446
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	447 #if defined (DEBUG)
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	448 if (compq == 'V')
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	449 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	450 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	451 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	452
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	453 // then right
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	454 if (compz == 'V')
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	455 {
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	456 F77_XFCN (dggbak, DGGBAK,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	457 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	458 F77_CONST_CHAR_ARG2 ("R", 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	459 nn, ilo, ihi, lscale.data (), rscale.data (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	460 nn, ZZ.fortran_vec (), nn, info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	461 F77_CHAR_ARG_LEN (1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	462 F77_CHAR_ARG_LEN (1)));
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	463
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	464 #if defined (DEBUG)
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	465 if (compz == 'V')
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	466 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	467 #endif
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	468 }
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	469 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	470
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	471 static char qz_job;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11570 diff changeset	472 qz_job = (nargout < 2 ? 'E' : 'S');
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	473
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	474 if (complex_case)
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	475 {
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	476 // Complex case.
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	477
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	478 // The QR decomposition of cbb.
22317 6ca3acf5fad8 move some new numeric classes to namespace octave::math John W. Eaton <jwe@octave.org> parents: 22137 diff changeset	479 octave::math::qr<ComplexMatrix> cbqr (cbb);
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	480 // The R matrix of QR decomposition for cbb.
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	481 cbb = cbqr.R ();
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	482 // (Q*)caa for following work.
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	483 caa = (cbqr.Q ().hermitian ()) * caa;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	484 CQ = CQ * cbqr.Q ();
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	485
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	486 F77_XFCN (zgghrd, ZGGHRD,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	487 (F77_CONST_CHAR_ARG2 (&compq, 1),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	488 F77_CONST_CHAR_ARG2 (&compz, 1),
22135 407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531) John W. Eaton <jwe@octave.org> parents: 22133 diff changeset	489 nn, ilo, ihi, F77_DBLE_CMPLX_ARG (caa.fortran_vec ()),
22407 34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22372 diff changeset	490 nn, F77_DBLE_CMPLX_ARG (cbb.fortran_vec ()), nn,
34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22372 diff changeset	491 F77_DBLE_CMPLX_ARG (CQ.fortran_vec ()), nn,
22135 407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531) John W. Eaton <jwe@octave.org> parents: 22133 diff changeset	492 F77_DBLE_CMPLX_ARG (CZ.fortran_vec ()), nn, info
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	493 F77_CHAR_ARG_LEN (1)
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	494 F77_CHAR_ARG_LEN (1)));
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	495
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11570 diff changeset	496 ComplexRowVector cwork (1 * nn);
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	497
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	498 F77_XFCN (zhgeqz, ZHGEQZ,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	499 (F77_CONST_CHAR_ARG2 (&qz_job, 1),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	500 F77_CONST_CHAR_ARG2 (&compq, 1),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	501 F77_CONST_CHAR_ARG2 (&compz, 1),
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11570 diff changeset	502 nn, ilo, ihi,
22135 407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531) John W. Eaton <jwe@octave.org> parents: 22133 diff changeset	503 F77_DBLE_CMPLX_ARG (caa.fortran_vec ()), nn,
407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531) John W. Eaton <jwe@octave.org> parents: 22133 diff changeset	504 F77_DBLE_CMPLX_ARG (cbb.fortran_vec ()), nn,
407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531) John W. Eaton <jwe@octave.org> parents: 22133 diff changeset	505 F77_DBLE_CMPLX_ARG (xalpha.fortran_vec ()),
407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531) John W. Eaton <jwe@octave.org> parents: 22133 diff changeset	506 F77_DBLE_CMPLX_ARG (xbeta.fortran_vec ()),
407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531) John W. Eaton <jwe@octave.org> parents: 22133 diff changeset	507 F77_DBLE_CMPLX_ARG (CQ.fortran_vec ()), nn,
407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531) John W. Eaton <jwe@octave.org> parents: 22133 diff changeset	508 F77_DBLE_CMPLX_ARG (CZ.fortran_vec ()), nn,
407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531) John W. Eaton <jwe@octave.org> parents: 22133 diff changeset	509 F77_DBLE_CMPLX_ARG (cwork.fortran_vec ()), nn, rwork.fortran_vec (), info
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	510 F77_CHAR_ARG_LEN (1)
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	511 F77_CHAR_ARG_LEN (1)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11570 diff changeset	512 F77_CHAR_ARG_LEN (1)));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	513
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11570 diff changeset	514 if (compq == 'V')
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	515 {
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	516 // Left eigenvector.
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	517 F77_XFCN (zggbak, ZGGBAK,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	518 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	519 F77_CONST_CHAR_ARG2 ("L", 1),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	520 nn, ilo, ihi, lscale.data (), rscale.data (),
22135 407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531) John W. Eaton <jwe@octave.org> parents: 22133 diff changeset	521 nn, F77_DBLE_CMPLX_ARG (CQ.fortran_vec ()), nn, info
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	522 F77_CHAR_ARG_LEN (1)
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	523 F77_CHAR_ARG_LEN (1)));
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11570 diff changeset	524 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	525
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	526 // Right eigenvector.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	527 if (compz == 'V')
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	528 {
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	529 F77_XFCN (zggbak, ZGGBAK,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	530 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	531 F77_CONST_CHAR_ARG2 ("R", 1),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	532 nn, ilo, ihi, lscale.data (), rscale.data (),
22135 407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531) John W. Eaton <jwe@octave.org> parents: 22133 diff changeset	533 nn, F77_DBLE_CMPLX_ARG (CZ.fortran_vec ()), nn, info
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	534 F77_CHAR_ARG_LEN (1)
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	535 F77_CHAR_ARG_LEN (1)));
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11570 diff changeset	536 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	537
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	538 }
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	539 else
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	540 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	541 #if defined (DEBUG)
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	542 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	543 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	544
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	545 // Compute the QR factorization of bb.
22317 6ca3acf5fad8 move some new numeric classes to namespace octave::math John W. Eaton <jwe@octave.org> parents: 22137 diff changeset	546 octave::math::qr<Matrix> bqr (bb);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	547
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	548 #if defined (DEBUG)
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	549 std::cout << "qz: qr (bb) done; now peforming qz decomposition"
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	550 << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	551 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	552
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	553 bb = bqr.R ();
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	554
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	555 #if defined (DEBUG)
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	556 std::cout << "qz: extracted bb" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	557 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	558
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	559 aa = (bqr.Q ()).transpose () * aa;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	560
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	561 #if defined (DEBUG)
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	562 std::cout << "qz: updated aa " << std::endl;
0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	563 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	564
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	565 if (compq == 'V')
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	566 std::cout << "QQ =" << QQ << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	567 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	568
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	569 if (compq == 'V')
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	570 QQ = QQ * bqr.Q ();
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	571
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	572 #if defined (DEBUG)
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	573 std::cout << "qz: precursors done..." << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	574 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	575
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	576 #if defined (DEBUG)
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	577 std::cout << "qz: compq = " << compq << ", compz = " << compz
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	578 << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	579 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	580
21562 6c2fd62db1f7 maint: Eliminate accidental double spaces in code. Rik <rik@octave.org> parents: 21301 diff changeset	581 // Reduce to generalized Hessenberg form.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	582 F77_XFCN (dgghrd, DGGHRD,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	583 (F77_CONST_CHAR_ARG2 (&compq, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	584 F77_CONST_CHAR_ARG2 (&compz, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	585 nn, ilo, ihi, aa.fortran_vec (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	586 nn, bb.fortran_vec (), nn, QQ.fortran_vec (), nn,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	587 ZZ.fortran_vec (), nn, info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	588 F77_CHAR_ARG_LEN (1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	589 F77_CHAR_ARG_LEN (1)));
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	590
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	591 // Check if just computing generalized eigenvalues or if we're
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	592 // actually computing the decomposition.
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	593
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	594 // Reduce to generalized Schur form.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	595 F77_XFCN (dhgeqz, DHGEQZ,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	596 (F77_CONST_CHAR_ARG2 (&qz_job, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	597 F77_CONST_CHAR_ARG2 (&compq, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	598 F77_CONST_CHAR_ARG2 (&compz, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	599 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	600 nn, alphar.fortran_vec (), alphai.fortran_vec (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	601 betar.fortran_vec (), QQ.fortran_vec (), nn,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	602 ZZ.fortran_vec (), nn, work.fortran_vec (), nn, info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	603 F77_CHAR_ARG_LEN (1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	604 F77_CHAR_ARG_LEN (1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	605 F77_CHAR_ARG_LEN (1)));
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	606
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	607 if (compq == 'V')
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	608 {
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	609 F77_XFCN (dggbak, DGGBAK,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	610 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	611 F77_CONST_CHAR_ARG2 ("L", 1),
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	612 nn, ilo, ihi, lscale.data (), rscale.data (),
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	613 nn, QQ.fortran_vec (), nn, info
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	614 F77_CHAR_ARG_LEN (1)
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	615 F77_CHAR_ARG_LEN (1)));
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	616
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	617 #if defined (DEBUG)
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	618 if (compq == 'V')
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	619 std::cout << "qz: balancing done; QQ=" << std::endl
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	620 << QQ << std::endl;
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	621 #endif
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	622 }
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	623
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	624 // then right
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	625 if (compz == 'V')
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	626 {
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	627 F77_XFCN (dggbak, DGGBAK,
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	628 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	629 F77_CONST_CHAR_ARG2 ("R", 1),
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	630 nn, ilo, ihi, lscale.data (), rscale.data (),
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	631 nn, ZZ.fortran_vec (), nn, info
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	632 F77_CHAR_ARG_LEN (1)
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	633 F77_CHAR_ARG_LEN (1)));
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	634
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	635 #if defined (DEBUG)
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	636 if (compz == 'V')
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	637 std::cout << "qz: balancing done; ZZ=" << std::endl
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	638 << ZZ << std::endl;
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	639 #endif
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	640 }
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	641
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	642 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	643
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	644 // 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	645 if (! (ord_job == 'N' \|\| ord_job == 'n'))
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	646 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	647 if (complex_case)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	648 // Probably not needed, but better be safe.
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	649 error ("qz: cannot re-order complex qz decomposition");
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	650
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	651 #if defined (DEBUG_SORT)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	652 std::cout << "qz: ordering eigenvalues: ord_job = "
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	653 << ord_job << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	654 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	655
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	656 // Declared static to avoid vfork/long jump compiler complaints.
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	657 static sort_function sort_test;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	658 sort_test = 0;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	659
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	660 switch (ord_job)
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	661 {
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	662 case 'S':
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	663 case 's':
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	664 sort_test = &fin;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	665 break;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	666
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	667 case 'B':
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	668 case 'b':
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	669 sort_test = &fout;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	670 break;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	671
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	672 case '+':
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	673 sort_test = &fcrhp;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	674 break;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	675
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	676 case '-':
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	677 sort_test = &folhp;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	678 break;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	679
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	680 default:
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	681 // Invalid order option (should never happen, since we
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	682 // checked the options at the top).
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	683 panic_impossible ();
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	684 break;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	685 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	686
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	687 double inf_norm;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	688
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	689 F77_XFCN (xdlange, XDLANGE,
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	690 (F77_CONST_CHAR_ARG2 ("I", 1),
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	691 nn, nn, aa.data (), nn, work.fortran_vec (), inf_norm
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	692 F77_CHAR_ARG_LEN (1)));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	693
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	694 double eps = std::numeric_limits<double>::epsilon () * inf_norm * nn;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	695
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	696 #if defined (DEBUG_SORT)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	697 std::cout << "qz: calling dsubsp: aa=" << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	698 octave_print_internal (std::cout, aa, 0);
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	699 std::cout << std::endl << "bb=" << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	700 octave_print_internal (std::cout, bb, 0);
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	701 if (compz == 'V')
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	702 {
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	703 std::cout << std::endl << "ZZ=" << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	704 octave_print_internal (std::cout, ZZ, 0);
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	705 }
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	706 std::cout << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	707 std::cout << "alphar = " << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	708 octave_print_internal (std::cout, (Matrix) alphar, 0);
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	709 std::cout << std::endl << "alphai = " << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	710 octave_print_internal (std::cout, (Matrix) alphai, 0);
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	711 std::cout << std::endl << "beta = " << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	712 octave_print_internal (std::cout, (Matrix) betar, 0);
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	713 std::cout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	714 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	715
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	716 Array<F77_INT> ind (dim_vector (nn, 1));
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	717
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	718 F77_INT ndim, fail;
3550 bc492f4a94cb [project @ 2000-02-03 01:36:30 by jwe] jwe parents: 3538 diff changeset	719
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	720 F77_XFCN (dsubsp, DSUBSP,
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	721 (nn, nn, aa.fortran_vec (), bb.fortran_vec (),
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	722 ZZ.fortran_vec (), sort_test, eps, ndim, fail,
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	723 ind.fortran_vec ()));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	724
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	725 #if defined (DEBUG)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	726 std::cout << "qz: back from dsubsp: aa=" << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	727 octave_print_internal (std::cout, aa, 0);
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	728 std::cout << std::endl << "bb=" << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	729 octave_print_internal (std::cout, bb, 0);
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	730 if (compz == 'V')
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	731 {
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	732 std::cout << std::endl << "ZZ=" << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	733 octave_print_internal (std::cout, ZZ, 0);
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	734 }
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	735 std::cout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	736 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	737
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	738 // Manually update alphar, alphai, betar.
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	739 static F77_INT jj;
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	740
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	741 jj = 0;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	742 while (jj < nn)
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	743 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	744 #if defined (DEBUG_EIG)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	745 std::cout << "computing gen eig #" << jj << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	746 #endif
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	747
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	748 // Number of zeros in this block.
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	749 static F77_INT zcnt;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	750
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	751 if (jj == (nn-1))
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	752 zcnt = 1;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	753 else if (aa(jj+1,jj) == 0)
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	754 zcnt = 1;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	755 else zcnt = 2;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	756
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	757 if (zcnt == 1)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	758 {
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	759 // Real zero.
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	760 #if defined (DEBUG_EIG)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	761 std::cout << " single gen eig:" << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	762 std::cout << " alphar(" << jj << ") = " << aa(jj,jj)
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	763 << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	764 std::cout << " betar(" << jj << ") = " << bb(jj,jj)
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	765 << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	766 std::cout << " alphai(" << jj << ") = 0" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	767 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	768
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	769 alphar(jj) = aa(jj,jj);
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	770 alphai(jj) = 0;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	771 betar(jj) = bb(jj,jj);
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	772 }
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	773 else
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	774 {
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	775 // Complex conjugate pair.
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	776 #if defined (DEBUG_EIG)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	777 std::cout << "qz: calling dlag2:" << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	778 std::cout << "safmin="
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	779 << setiosflags (std::ios::scientific)
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	780 << safmin << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	781
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	782 for (F77_INT idr = jj; idr <= jj+1; idr++)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	783 {
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	784 for (F77_INT idc = jj; idc <= jj+1; idc++)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	785 {
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	786 std::cout << "aa(" << idr << "," << idc << ")="
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	787 << aa(idr,idc) << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	788 std::cout << "bb(" << idr << "," << idc << ")="
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	789 << bb(idr,idc) << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	790 }
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	791 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	792 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	793
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	794 // FIXME: probably should be using
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	795 // fortran_vec instead of &aa(jj,jj) here.
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	796
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	797 double scale1, scale2, wr1, wr2, wi;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	798 const double aa_ptr = aa.data () + jj nn + jj;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	799 const double bb_ptr = bb.data () + jj nn + jj;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	800 F77_XFCN (dlag2, DLAG2,
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	801 (aa_ptr, nn, bb_ptr, nn, safmin,
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	802 scale1, scale2, wr1, wr2, wi));
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	803
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	804 #if defined (DEBUG_EIG)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	805 std::cout << "dlag2 returns: scale1=" << scale1
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	806 << "\tscale2=" << scale2 << std::endl
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	807 << "\twr1=" << wr1 << "\twr2=" << wr2
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	808 << "\twi=" << wi << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	809 #endif
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	810
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	811 // Just to be safe, check if it's a real pair.
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	812 if (wi == 0)
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	813 {
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	814 alphar(jj) = wr1;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	815 alphai(jj) = 0;
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	816 betar(jj) = scale1;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	817 alphar(jj+1) = wr2;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	818 alphai(jj+1) = 0;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	819 betar(jj+1) = scale2;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	820 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	821 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	822 {
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	823 alphar(jj) = alphar(jj+1) = wr1;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	824 alphai(jj) = -(alphai(jj+1) = wi);
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	825 betar(jj) = betar(jj+1) = scale1;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	826 }
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
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	829 // Advance past this block.
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	830 jj += zcnt;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	831 }
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	832
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	833 #if defined (DEBUG_SORT)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	834 std::cout << "qz: back from dsubsp: aa=" << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	835 octave_print_internal (std::cout, aa, 0);
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	836 std::cout << std::endl << "bb=" << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	837 octave_print_internal (std::cout, bb, 0);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	838
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	839 if (compz == 'V')
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	840 {
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	841 std::cout << std::endl << "ZZ=" << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	842 octave_print_internal (std::cout, ZZ, 0);
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	843 }
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	844 std::cout << std::endl << "qz: ndim=" << ndim << std::endl
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	845 << "fail=" << fail << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	846 std::cout << "alphar = " << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	847 octave_print_internal (std::cout, (Matrix) alphar, 0);
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	848 std::cout << std::endl << "alphai = " << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	849 octave_print_internal (std::cout, (Matrix) alphai, 0);
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	850 std::cout << std::endl << "beta = " << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	851 octave_print_internal (std::cout, (Matrix) betar, 0);
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	852 std::cout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	853 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	854 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	855
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	856 // Compute generalized eigenvalues?
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	857 ComplexColumnVector gev;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	858
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	859 if (nargout < 2 \|\| nargout == 7 \|\| (nargin == 3 && nargout == 4))
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	860 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	861 if (complex_case)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	862 {
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	863 F77_INT cnt = 0;
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	864
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	865 for (F77_INT ii = 0; ii < nn; ii++)
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	866 cnt++;
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	867
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	868 ComplexColumnVector tmp (cnt);
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	869
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	870 cnt = 0;
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	871 for (F77_INT ii = 0; ii < nn; ii++)
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	872 tmp(cnt++) = xalpha(ii) / xbeta(ii);
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	873
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	874 gev = tmp;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	875 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	876 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	877 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	878 #if defined (DEBUG)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	879 std::cout << "qz: computing generalized eigenvalues" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	880 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	881
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	882 // Return finite generalized eigenvalues.
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	883 F77_INT cnt = 0;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	884
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	885 for (F77_INT ii = 0; ii < nn; ii++)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	886 if (betar(ii) != 0)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	887 cnt++;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	888
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	889 ComplexColumnVector tmp (cnt);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	890
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	891 cnt = 0;
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	892 for (F77_INT ii = 0; ii < nn; ii++)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	893 if (betar(ii) != 0)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	894 tmp(cnt++) = Complex(alphar(ii), alphai(ii))/betar(ii);
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	895
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	896 gev = tmp;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	897 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	898 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	899
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	900 // Right, left eigenvector matrices.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	901 if (nargout >= 5)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	902 {
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	903 // Which side to compute?
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	904 char side = (nargout == 5 ? 'R' : 'B');
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	905 // Compute all of them and backtransform
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	906 char howmny = 'B';
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	907 // Dummy pointer; select is not used.
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	908 F77_INT *select = 0;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	909
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	910 if (complex_case)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	911 {
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	912 CVL = CQ;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	913 CVR = CZ;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	914 ComplexRowVector cwork2 (2 * nn);
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	915 RowVector rwork2 (8 * nn);
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	916 F77_INT m;
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	917
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	918 F77_XFCN (ztgevc, ZTGEVC,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	919 (F77_CONST_CHAR_ARG2 (&side, 1),
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	920 F77_CONST_CHAR_ARG2 (&howmny, 1),
22407 34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22372 diff changeset	921 select, nn, F77_DBLE_CMPLX_ARG (caa.fortran_vec ()), nn,
34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22372 diff changeset	922 F77_DBLE_CMPLX_ARG (cbb.fortran_vec ()),
34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22372 diff changeset	923 nn, F77_DBLE_CMPLX_ARG (CVL.fortran_vec ()), nn,
34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22372 diff changeset	924 F77_DBLE_CMPLX_ARG (CVR.fortran_vec ()), nn, nn,
22135 407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531) John W. Eaton <jwe@octave.org> parents: 22133 diff changeset	925 m, F77_DBLE_CMPLX_ARG (cwork2.fortran_vec ()), rwork2.fortran_vec (), info
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	926 F77_CHAR_ARG_LEN (1)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11570 diff changeset	927 F77_CHAR_ARG_LEN (1)));
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	928 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	929 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	930 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	931 #if defined (DEBUG)
21562 6c2fd62db1f7 maint: Eliminate accidental double spaces in code. Rik <rik@octave.org> parents: 21301 diff changeset	932 std::cout << "qz: computing generalized eigenvectors" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	933 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	934
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	935 VL = QQ;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	936 VR = ZZ;
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	937 F77_INT m;
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	938
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	939 F77_XFCN (dtgevc, DTGEVC,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	940 (F77_CONST_CHAR_ARG2 (&side, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	941 F77_CONST_CHAR_ARG2 (&howmny, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	942 select, nn, aa.fortran_vec (), nn, bb.fortran_vec (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	943 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	944 m, work.fortran_vec (), info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	945 F77_CHAR_ARG_LEN (1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	946 F77_CHAR_ARG_LEN (1)));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	947
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	948 // Now construct the complex form of VV, WW.
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	949 F77_INT jj = 0;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	950
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	951 while (jj < nn)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	952 {
22860 0b1e25cc4457 eliminate use of OCTAVE_QUIT macro in C++ sources John W. Eaton <jwe@octave.org> parents: 22755 diff changeset	953 octave_quit ();
4153 6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4051 diff changeset	954
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	955 // See if real or complex eigenvalue.
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	956
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	957 // Column increment; assume complex eigenvalue.
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	958 int cinc = 2;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	959
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	960 if (jj == (nn-1))
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	961 // Single column.
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	962 cinc = 1;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	963 else if (aa(jj+1,jj) == 0)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	964 cinc = 1;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	965
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	966 // Now copy the eigenvector (s) to CVR, CVL.
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	967 if (cinc == 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	968 {
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	969 for (F77_INT ii = 0; ii < nn; ii++)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	970 CVR(ii,jj) = VR(ii,jj);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	971
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	972 if (side == 'B')
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	973 for (F77_INT ii = 0; ii < nn; ii++)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	974 CVL(ii,jj) = VL(ii,jj);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	975 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	976 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	977 {
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	978 // Double column; complex vector.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	979
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	980 for (F77_INT ii = 0; ii < nn; ii++)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	981 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	982 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	983 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	984 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	985
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	986 if (side == 'B')
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	987 for (F77_INT ii = 0; ii < nn; ii++)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	988 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	989 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	990 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	991 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	992 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	993
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	994 // Advance to next eigenvectors (if any).
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	995 jj += cinc;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	996 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	997 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	998 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	999
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1000 switch (nargout)
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1001 {
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1002 case 7:
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1003 retval(6) = gev;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1004
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1005 case 6:
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1006 // Return eigenvectors.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1007 retval(5) = CVL;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1008
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1009 case 5:
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1010 // Return eigenvectors.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1011 retval(4) = CVR;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1012
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1013 case 4:
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1014 if (nargin == 3)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1015 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	1016 #if defined (DEBUG)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1017 std::cout << "qz: sort: retval(3) = gev = " << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1018 octave_print_internal (std::cout, gev);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1019 std::cout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1020 #endif
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1021 retval(3) = gev;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1022 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1023 else
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1024 {
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1025 if (complex_case)
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1026 retval(3) = CZ;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1027 else
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1028 retval(3) = ZZ;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1029 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1030
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1031 case 3:
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1032 if (nargin == 3)
14876 54a386f2ac4e correcly compute Z for 3-output call to qz (bug #36728) John W. Eaton <jwe@octave.org> parents: 14844 diff changeset	1033 {
54a386f2ac4e correcly compute Z for 3-output call to qz (bug #36728) John W. Eaton <jwe@octave.org> parents: 14844 diff changeset	1034 if (complex_case)
54a386f2ac4e correcly compute Z for 3-output call to qz (bug #36728) John W. Eaton <jwe@octave.org> parents: 14844 diff changeset	1035 retval(2) = CZ;
54a386f2ac4e correcly compute Z for 3-output call to qz (bug #36728) John W. Eaton <jwe@octave.org> parents: 14844 diff changeset	1036 else
54a386f2ac4e correcly compute Z for 3-output call to qz (bug #36728) John W. Eaton <jwe@octave.org> parents: 14844 diff changeset	1037 retval(2) = ZZ;
54a386f2ac4e correcly compute Z for 3-output call to qz (bug #36728) John W. Eaton <jwe@octave.org> parents: 14844 diff changeset	1038 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1039 else
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1040 {
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1041 if (complex_case)
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1042 retval(2) = CQ.hermitian ();
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1043 else
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1044 retval(2) = QQ.transpose ();
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1045 }
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1046
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1047 case 2:
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	1048 {
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1049 if (complex_case)
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1050 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	1051 #if defined (DEBUG)
14844 5bc9b9cb4362 maint: Use Octave coding conventions for cuddled parenthesis in retval assignments. Rik <octave@nomad.inbox5.com> parents: 14501 diff changeset	1052 std::cout << "qz: retval(1) = cbb = " << std::endl;
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1053 octave_print_internal (std::cout, cbb, 0);
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1054 std::cout << std::endl << "qz: retval(0) = caa = " <<std::endl;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1055 octave_print_internal (std::cout, caa, 0);
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1056 std::cout << std::endl;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11570 diff changeset	1057 #endif
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1058 retval(1) = cbb;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1059 retval(0) = caa;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1060 }
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	1061 else
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	1062 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	1063 #if defined (DEBUG)
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	1064 std::cout << "qz: retval(1) = bb = " << std::endl;
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	1065 octave_print_internal (std::cout, bb, 0);
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	1066 std::cout << std::endl << "qz: retval(0) = aa = " <<std::endl;
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	1067 octave_print_internal (std::cout, aa, 0);
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	1068 std::cout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1069 #endif
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	1070 retval(1) = bb;
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	1071 retval(0) = aa;
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	1072 }
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11570 diff changeset	1073 }
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1074 break;
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	1075
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1076 case 1:
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1077 case 0:
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	1078 #if defined (DEBUG)
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	1079 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	1080 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1081 retval(0) = gev;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1082 break;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1083
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1084 default:
11553 01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	1085 error ("qz: too many return arguments");
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1086 break;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1087 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1088
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	1089 #if defined (DEBUG)
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	1090 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	1091 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1092
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1093 return retval;
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1094 }
13074 0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	1095
0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	1096 /*
0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	1097 %!shared a, b, c
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14360 diff changeset	1098 %! a = [1 2; 0 3];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14360 diff changeset	1099 %! b = [1 0; 0 0];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14360 diff changeset	1100 %! c = [0 1; 0 0];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14360 diff changeset	1101 %!assert (qz (a,b), 1)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14360 diff changeset	1102 %!assert (isempty (qz (a,c)))
13074 0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	1103
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14360 diff changeset	1104 ## Exaple 7.7.3 in Golub & Van Loan
13074 0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	1105 %!test
0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	1106 %! a = [ 10 1 2;
0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	1107 %! 1 2 -1;
0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	1108 %! 1 1 2];
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14360 diff changeset	1109 %! b = reshape (1:9,3,3);
13074 0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	1110 %! [aa, bb, q, z, v, w, lambda] = qz (a, b);
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14360 diff changeset	1111 %! sz = length (lambda);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14360 diff changeset	1112 %! observed = (b * v * diag ([lambda;0])) (:, 1:sz);
18678 6113e0c6920b maint: Clean up extra spaces before/after parentheses. Rik <rik@octave.org> parents: 17787 diff changeset	1113 %! assert ((av)(:, 1:sz), observed, norm (observed) 1e-14);
13088 4ffea87ad71b codesprint: Fix tolerance for qz.cc tests. Ben Abbott <bpabbott@mac.com> parents: 13074 diff changeset	1114 %! observed = (diag ([lambda;0]) * w' * b) (1:sz, :);
18678 6113e0c6920b maint: Clean up extra spaces before/after parentheses. Rik <rik@octave.org> parents: 17787 diff changeset	1115 %! assert ((w'a)(1:sz, :) , observed, norm (observed) 1e-13);
13088 4ffea87ad71b codesprint: Fix tolerance for qz.cc tests. Ben Abbott <bpabbott@mac.com> parents: 13074 diff changeset	1116 %! assert (q * a * z, aa, norm (aa) * 1e-14);
4ffea87ad71b codesprint: Fix tolerance for qz.cc tests. Ben Abbott <bpabbott@mac.com> parents: 13074 diff changeset	1117 %! assert (q * b * z, bb, norm (bb) * 1e-14);
13074 0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	1118
14876 54a386f2ac4e correcly compute Z for 3-output call to qz (bug #36728) John W. Eaton <jwe@octave.org> parents: 14844 diff changeset	1119 %!test
54a386f2ac4e correcly compute Z for 3-output call to qz (bug #36728) John W. Eaton <jwe@octave.org> parents: 14844 diff changeset	1120 %! A = [0, 0, -1, 0; 1, 0, 0, 0; -1, 0, -2, -1; 0, -1, 1, 0];
54a386f2ac4e correcly compute Z for 3-output call to qz (bug #36728) John W. Eaton <jwe@octave.org> parents: 14844 diff changeset	1121 %! B = [0, 0, 0, 0; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1];
54a386f2ac4e correcly compute Z for 3-output call to qz (bug #36728) John W. Eaton <jwe@octave.org> parents: 14844 diff changeset	1122 %! [AA, BB, Q, Z1] = qz (A, B);
54a386f2ac4e correcly compute Z for 3-output call to qz (bug #36728) John W. Eaton <jwe@octave.org> parents: 14844 diff changeset	1123 %! [AA, BB, Z2] = qz (A, B, '-');
54a386f2ac4e correcly compute Z for 3-output call to qz (bug #36728) John W. Eaton <jwe@octave.org> parents: 14844 diff changeset	1124 %! assert (Z1, Z2);
13074 0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	1125 */

Mercurial > octave

annotate libinterp/corefcn/qz.cc @ 23429:b976347c1341