octave: libinterp/corefcn/qz.cc annotate

annotate libinterp/corefcn/qz.cc @ 24116:e1020353fff5

qz: initialize optional ordering flag safely * qz.cc (Fqz): Initialize optional ordering flag safely so it always has a valid value. Add input validation check for empty string. Silences clang compiler warning -Wsometimes-uninitialized.

author	Mike Miller <mtmiller@octave.org>
date	Thu, 28 Sep 2017 15:55:21 -0700
parents	d69021d58a61
children	9fbb5de78ec7

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
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	35 #include <cctype>
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	36 #include <cmath>
4051 b79da8779a0e [project @ 2002-08-17 19:38:32 by jwe] jwe parents: 3911 diff changeset	37
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	38 #if defined (DEBUG) \|\| defined (DEBUG_SORT) \|\| defined (DEBUG_EIG)
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	39 # include <iostream>
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	40 # if defined (DEBUG_EIG)
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	41 # include <iomanip>
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	42 # endif
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	43 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	44
4153 6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4051 diff changeset	45 #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	46 #include "lo-lapack-proto.h"
21279 eb1524b07fe3 better use of templates for qr classes John W. Eaton <jwe@octave.org> parents: 21200 diff changeset	47 #include "qr.h"
4153 6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4051 diff changeset	48 #include "quit.h"
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4051 diff changeset	49
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14876 diff changeset	50 #include "defun.h"
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	51 #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	52 #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	53 #include "ovl.h"
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	54 #if defined (DEBUG) \|\| defined (DEBUG_SORT)
21200 fcac5dbbf9ed maint: Indent #ifdef blocks in libinterp. Rik <rik@octave.org> parents: 21110 diff changeset	55 # include "pr-output.h"
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	56 #endif
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	57
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	58 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	59 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	60 const double& S, const double& P);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	61
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	62 extern "C"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	63 {
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	64 // Van Dooren's code (netlib.org: toms/590) for reordering GEP.
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	65 // Only processes Z, not Q.
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	66 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	67 F77_FUNC (dsubsp, DSUBSP) (const F77_INT& NMAX, const F77_INT& N,
23449 c763214a8260 maint: Use convention 'int x' for naming pointers. Rik <rik@octave.org>* parents: 23430 diff changeset	68 F77_DBLE A, F77_DBLE B, F77_DBLE *Z,
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 sort_function, const F77_DBLE& EPS,
23449 c763214a8260 maint: Use convention 'int x' for naming pointers. Rik <rik@octave.org>* parents: 23430 diff changeset	70 F77_INT& NDIM, F77_INT& FAIL, F77_INT *IND);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	71 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	72
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	73 // fcrhp, fin, fout, folhp:
21562 6c2fd62db1f7 maint: Eliminate accidental double spaces in code. Rik <rik@octave.org> parents: 21301 diff changeset	74 // Routines for ordering of generalized eigenvalues.
6c2fd62db1f7 maint: Eliminate accidental double spaces in code. Rik <rik@octave.org> parents: 21301 diff changeset	75 // Return 1 if test is passed, 0 otherwise.
6c2fd62db1f7 maint: Eliminate accidental double spaces in code. Rik <rik@octave.org> parents: 21301 diff changeset	76 // fin: \|lambda\| < 1
6c2fd62db1f7 maint: Eliminate accidental double spaces in code. Rik <rik@octave.org> parents: 21301 diff changeset	77 // fout: \|lambda\| >= 1
6c2fd62db1f7 maint: Eliminate accidental double spaces in code. Rik <rik@octave.org> parents: 21301 diff changeset	78 // fcrhp: real(lambda) >= 0
6c2fd62db1f7 maint: Eliminate accidental double spaces in code. Rik <rik@octave.org> parents: 21301 diff changeset	79 // folhp: real(lambda) < 0
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	80
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	81 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	82 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	83 const double& s, const double&)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	84 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	85 if (lsize == 1)
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	86 return (alpha * beta >= 0 ? 1 : -1);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	87 else
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	88 return (s >= 0 ? 1 : -1);
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	89 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	90
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	91 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	92 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	93 const double&, const double& p)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	94 {
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	95 F77_INT retval;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	96
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	97 if (lsize == 1)
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	98 retval = (std::abs (alpha) < std::abs (beta) ? 1 : -1);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	99 else
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	100 retval = (std::abs (p) < 1 ? 1 : -1);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	101
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	102 #if defined (DEBUG)
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	103 std::cout << "qz: fin: retval=" << retval << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	104 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	105
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	106 return retval;
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	107 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	108
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	109 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	110 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	111 const double& s, const double&)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	112 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	113 if (lsize == 1)
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	114 return (alpha * beta < 0 ? 1 : -1);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	115 else
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	116 return (s < 0 ? 1 : -1);
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	117 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	118
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	119 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	120 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	121 const double&, const double& p)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	122 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	123 if (lsize == 1)
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	124 return (std::abs (alpha) >= std::abs (beta) ? 1 : -1);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	125 else
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	126 return (std::abs (p) >= 1 ? 1 : -1);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	127 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	128
13074 0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	129 //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	130 // Compatibility problem?
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14876 diff changeset	131 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	132 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	133 @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	134 @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	135 @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	136 @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	137 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	138 @tex
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	139 $$A x = \lambda B x$$
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	140 @end tex
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	141 @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	142
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	143 @math{A x = @var{lambda} B x}
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	144
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	145 @end ifnottex
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 There are three calling forms of the function:
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	148
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	149 @enumerate
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	150 @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	151
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	152 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	153 @tex
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	154 $\lambda.$
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	155 @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	156 @ifnottex
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	157 @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	158 @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	159
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	160 @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	161
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	162 Compute QZ@tie{}decomposition, generalized eigenvectors, and generalized
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	163 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	164 @tex
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	165 $$ AV = BV{ \rm diag }(\lambda) $$
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	166 $$ W^T A = { \rm diag }(\lambda)W^T B $$
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	167 $$ AA = Q^T AZ, BB = Q^T BZ $$
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	168 @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	169 @ifnottex
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	170
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	171 @example
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	172 @group
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	173
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	174 @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	175 @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	176 @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	177
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	178 @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	179 @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	180
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 ifnottex
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	182 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	183
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	184 @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	185
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	186 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	187 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	188 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	189 @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	190
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	191 @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	192 @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	193 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	194 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	195
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	196 @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	197 @item @qcode{"N"}
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	198 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	199
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	200 @item @qcode{"S"}
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	201 small: leading block has all
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	202 @tex
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	203 $\|\lambda\| < 1$
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	204 @end tex
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	205 @ifnottex
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	206 \|@var{lambda}\| < 1
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	207 @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	208
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	209 @item @qcode{"B"}
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	210 big: leading block has all
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	211 @tex
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	212 $\|\lambda\| \geq 1$
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	213 @end tex
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	214 @ifnottex
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	215 \|@var{lambda}\| @geq{} 1
1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	216 @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	217
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	218 @item @qcode{"-"}
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	219 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	220 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	221
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	222 @item @qcode{"+"}
23428 1bc0e610e293 doc: Redo docstring for qz (bug #50846). Rik <rik@octave.org> parents: 23219 diff changeset	223 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	224 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	225 @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	226 @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	227 @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	228
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	229 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	230 (@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	231 @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	232 @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	233 @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	234 @end deftypefn */)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	235 {
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	236 int nargin = args.length ();
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	237
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	238 #if defined (DEBUG)
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	239 std::cout << "qz: nargin = " << nargin
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	240 << ", nargout = " << nargout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	241 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	242
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	243 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	244 print_usage ();
8bb38ba1bad6 eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20700 diff changeset	245
8bb38ba1bad6 eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20700 diff changeset	246 if (nargin == 3 && (nargout < 3 \|\| nargout > 4))
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	247 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	248
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	249 #if defined (DEBUG)
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	250 std::cout << "qz: determine ordering option" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	251 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	252
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	253 // Determine ordering option.
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	254 // declared volatile to avoid compiler warnings about long jumps vforks.
24116 e1020353fff5 qz: initialize optional ordering flag safely Mike Miller <mtmiller@octave.org> parents: 23826 diff changeset	255 volatile char ord_job = 'N';
e1020353fff5 qz: initialize optional ordering flag safely Mike Miller <mtmiller@octave.org> parents: 23826 diff changeset	256 double safmin = 0.0;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	257
24116 e1020353fff5 qz: initialize optional ordering flag safely Mike Miller <mtmiller@octave.org> parents: 23826 diff changeset	258 if (nargin == 3)
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	259 {
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	260 std::string opt = 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	261
24116 e1020353fff5 qz: initialize optional ordering flag safely Mike Miller <mtmiller@octave.org> parents: 23826 diff changeset	262 if (opt.empty ())
e1020353fff5 qz: initialize optional ordering flag safely Mike Miller <mtmiller@octave.org> parents: 23826 diff changeset	263 error ("qz: OPT must be a non-empty string");
e1020353fff5 qz: initialize optional ordering flag safely Mike Miller <mtmiller@octave.org> parents: 23826 diff changeset	264
e1020353fff5 qz: initialize optional ordering flag safely Mike Miller <mtmiller@octave.org> parents: 23826 diff changeset	265 ord_job = std::toupper (opt[0]);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	266
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	267 std::string valid_opts = "NSB+-";
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	268
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	269 if (valid_opts.find_first_of (ord_job) == std::string::npos)
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	270 error ("qz: invalid order option '%c'", ord_job);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	271
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	272 // overflow constant required by dlag2
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	273 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	274 safmin
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	275 F77_CHAR_ARG_LEN (1));
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	276
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	277 #if defined (DEBUG_EIG)
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	278 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	279 << setiosflags (std::ios::scientific)
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	280 << safmin << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	281 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	282
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	283 // Some machines (e.g., DEC alpha) get safmin = 0;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	284 // 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	285 if (safmin == 0)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	286 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	287 #if defined (DEBUG_EIG)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	288 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	289 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	290
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	291 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	292 safmin
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	293 F77_CHAR_ARG_LEN (1));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	294
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	295 #if defined (DEBUG_EIG)
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	296 std::cout << "qz: safmin set to "
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	297 << setiosflags (std::ios::scientific)
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	298 << safmin << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	299 #endif
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	300 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	301 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	302
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	303 #if defined (DEBUG)
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	304 std::cout << "qz: check matrix A" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	305 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	306
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	307 // Matrix A: check dimensions.
22988 cd33c785e80e put to_f77_int inside octave namespace John W. Eaton <jwe@octave.org> parents: 22964 diff changeset	308 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	309 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	310
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	311 #if defined (DEBUG)
23807 336f89b6208b Use character literals 'c' rather than string literals "c" when possible. Rik <rik@octave.org> parents: 23795 diff changeset	312 std::cout << "Matrix A dimensions: (" << nn << ',' << nc << ')' << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	313 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	314
23577 80c42f4cca13 maint: Deprecate is_empty and replace with isempty. Rik <rik@octave.org> parents: 23477 diff changeset	315 if (args(0).isempty ())
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	316 {
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	317 warn_empty_arg ("qz: A");
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	318 return octave_value_list (2, Matrix ());
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	319 }
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	320 else if (nc != nn)
21110 3d0d84305600 Use err_square_matrix_required more widely. Rik <rik@octave.org> parents: 21100 diff changeset	321 err_square_matrix_required ("qz", "A");
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	322
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	323 // Matrix A: get value.
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	324 Matrix aa;
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	325 ComplexMatrix caa;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	326
23581 c3075ae020e1 maint: Deprecate is_complex_type and replace with iscomplex. Rik <rik@octave.org> parents: 23577 diff changeset	327 if (args(0).iscomplex ())
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	328 caa = args(0).complex_matrix_value ();
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	329 else
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	330 aa = args(0).matrix_value ();
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	331
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	332 #if defined (DEBUG)
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	333 std::cout << "qz: check matrix B" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	334 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	335
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	336 // 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	337 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	338 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	339
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	340 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	341 err_nonconformant ();
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	342
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	343 Matrix bb;
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	344 ComplexMatrix cbb;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	345
23581 c3075ae020e1 maint: Deprecate is_complex_type and replace with iscomplex. Rik <rik@octave.org> parents: 23577 diff changeset	346 if (args(1).iscomplex ())
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	347 cbb = args(1).complex_matrix_value ();
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	348 else
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	349 bb = args(1).matrix_value ();
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	350
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	351 // Both matrices loaded, now check whether to calculate complex or real val.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	352
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	353 // declared volatile to avoid compiler warnings about long jumps vforks.
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	354 volatile bool complex_case
23581 c3075ae020e1 maint: Deprecate is_complex_type and replace with iscomplex. Rik <rik@octave.org> parents: 23577 diff changeset	355 = (args(0).iscomplex () \|\| args(1).iscomplex ());
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	356
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	357 if (nargin == 3 && complex_case)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	358 error ("qz: cannot re-order complex qz decomposition");
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	359
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	360 // First, declare variables used in both the real and complex cases.
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	361 // FIXME: There are a lot of excess variables declared.
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	362 // Probably a better way to handle this.
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	363 Matrix QQ (nn,nn), ZZ (nn,nn), VR (nn,nn), VL (nn,nn);
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	364 RowVector alphar (nn), alphai (nn), betar (nn);
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	365 ComplexRowVector xalpha (nn), xbeta (nn);
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	366 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	367 F77_INT ilo, ihi, info;
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	368 char comp_q = (nargout >= 3 ? 'V' : 'N');
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	369 char comp_z = ((nargout >= 4 \|\| nargin == 3)? 'V' : 'N');
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	370
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	371 // Initialize Q, Z to identity matrix if either is needed
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	372 if (comp_q == 'V' \|\| comp_z == 'V')
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	373 {
23477 3530b956d707 maint: Strip trailing whitespace from source files. John W. Eaton <jwe@octave.org> parents: 23457 diff changeset	374 double *QQptr = QQ.fortran_vec ();
3530b956d707 maint: Strip trailing whitespace from source files. John W. Eaton <jwe@octave.org> parents: 23457 diff changeset	375 double *ZZptr = ZZ.fortran_vec ();
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	376 std::fill_n (QQptr, QQ.numel (), 0.0);
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	377 std::fill_n (ZZptr, ZZ.numel (), 0.0);
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	378 for (F77_INT i = 0; i < nn; i++)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	379 {
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	380 QQ(i,i) = 1.0;
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	381 ZZ(i,i) = 1.0;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	382 }
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	383 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	384
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	385 // Always perform permutation balancing.
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	386 const char bal_job = 'P';
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	387 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	388
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	389 if (complex_case)
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	390 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	391 #if defined (DEBUG)
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	392 if (comp_q == 'V')
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	393 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	394 << CQ << std::endl;
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	395 #endif
23582 0cc2011d800e maint: Deprecate is_real_type and replace with isreal. Rik <rik@octave.org> parents: 23581 diff changeset	396 if (args(0).isreal ())
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	397 caa = ComplexMatrix (aa);
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	398
23582 0cc2011d800e maint: Deprecate is_real_type and replace with isreal. Rik <rik@octave.org> parents: 23581 diff changeset	399 if (args(1).isreal ())
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	400 cbb = ComplexMatrix (bb);
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	401
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	402 if (comp_q == 'V')
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	403 CQ = ComplexMatrix (QQ);
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	404
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	405 if (comp_z == 'V')
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	406 CZ = ComplexMatrix (ZZ);
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	407
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	408 F77_XFCN (zggbal, ZGGBAL,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	409 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
22407 34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22372 diff changeset	410 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	411 F77_DBLE_CMPLX_ARG (cbb.fortran_vec ()),
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	412 nn, ilo, ihi, lscale.fortran_vec (),
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	413 rscale.fortran_vec (), work.fortran_vec (), info
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	414 F77_CHAR_ARG_LEN (1)));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	415 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	416 else
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	417 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	418 #if defined (DEBUG)
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	419 if (comp_q == 'V')
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	420 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	421 << QQ << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	422 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	423
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	424 F77_XFCN (dggbal, DGGBAL,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	425 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	426 nn, aa.fortran_vec (), nn, bb.fortran_vec (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	427 nn, ilo, ihi, lscale.fortran_vec (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	428 rscale.fortran_vec (), work.fortran_vec (), info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	429 F77_CHAR_ARG_LEN (1)));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	430 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	431
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	432 // Only permutation balance above is done. Skip scaling balance.
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	433
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	434 #if 0
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	435 // 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	436 // 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	437
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	438 if (comp_q == 'V')
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	439 {
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	440 F77_XFCN (dggbak, DGGBAK,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	441 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	442 F77_CONST_CHAR_ARG2 ("L", 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	443 nn, ilo, ihi, lscale.data (), rscale.data (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	444 nn, QQ.fortran_vec (), nn, info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	445 F77_CHAR_ARG_LEN (1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	446 F77_CHAR_ARG_LEN (1)));
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	447
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	448 #if defined (DEBUG)
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	449 if (comp_q == 'V')
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	450 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	451 #endif
3183 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
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	454 // then right
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	455 if (comp_z == 'V')
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	456 {
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	457 F77_XFCN (dggbak, DGGBAK,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	458 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	459 F77_CONST_CHAR_ARG2 ("R", 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	460 nn, ilo, ihi, lscale.data (), rscale.data (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	461 nn, ZZ.fortran_vec (), nn, info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	462 F77_CHAR_ARG_LEN (1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	463 F77_CHAR_ARG_LEN (1)));
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	464
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	465 #if defined (DEBUG)
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	466 if (comp_z == 'V')
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	467 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	468 #endif
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	469 }
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	470 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	471
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	472 char 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,
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	487 (F77_CONST_CHAR_ARG2 (&comp_q, 1),
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	488 F77_CONST_CHAR_ARG2 (&comp_z, 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
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	496 ComplexRowVector cwork (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),
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	500 F77_CONST_CHAR_ARG2 (&comp_q, 1),
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	501 F77_CONST_CHAR_ARG2 (&comp_z, 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,
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	509 F77_DBLE_CMPLX_ARG (cwork.fortran_vec ()), nn,
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	510 rwork.fortran_vec (), info
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	511 F77_CHAR_ARG_LEN (1)
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	512 F77_CHAR_ARG_LEN (1)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11570 diff changeset	513 F77_CHAR_ARG_LEN (1)));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	514
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	515 if (comp_q == 'V')
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	516 {
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	517 // Left eigenvector.
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	518 F77_XFCN (zggbak, ZGGBAK,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	519 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	520 F77_CONST_CHAR_ARG2 ("L", 1),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	521 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	522 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	523 F77_CHAR_ARG_LEN (1)
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	524 F77_CHAR_ARG_LEN (1)));
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11570 diff changeset	525 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	526
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	527 if (comp_z == 'V')
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	528 {
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	529 // Right eigenvector.
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	530 F77_XFCN (zggbak, ZGGBAK,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	531 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	532 F77_CONST_CHAR_ARG2 ("R", 1),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	533 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	534 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	535 F77_CHAR_ARG_LEN (1)
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	536 F77_CHAR_ARG_LEN (1)));
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11570 diff changeset	537 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	538
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	539 }
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	540 else
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	541 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	542 #if defined (DEBUG)
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	543 std::cout << "qz: performing qr decomposition of bb" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	544 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	545
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	546 // 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	547 octave::math::qr<Matrix> bqr (bb);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	548
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	549 #if defined (DEBUG)
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	550 std::cout << "qz: qr (bb) done; now performing qz decomposition"
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	551 << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	552 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	553
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	554 bb = bqr.R ();
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	555
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	556 #if defined (DEBUG)
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	557 std::cout << "qz: extracted bb" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	558 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	559
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	560 aa = (bqr.Q ()).transpose () * aa;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	561
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	562 #if defined (DEBUG)
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	563 std::cout << "qz: updated aa " << std::endl;
0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	564 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	565
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	566 if (comp_q == 'V')
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	567 std::cout << "QQ =" << QQ << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	568 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	569
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	570 if (comp_q == 'V')
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	571 QQ = QQ * bqr.Q ();
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	572
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	573 #if defined (DEBUG)
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	574 std::cout << "qz: precursors done..." << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	575 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	576
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	577 #if defined (DEBUG)
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	578 std::cout << "qz: comp_q = " << comp_q << ", comp_z = " << comp_z
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	579 << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	580 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	581
21562 6c2fd62db1f7 maint: Eliminate accidental double spaces in code. Rik <rik@octave.org> parents: 21301 diff changeset	582 // Reduce to generalized Hessenberg form.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	583 F77_XFCN (dgghrd, DGGHRD,
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	584 (F77_CONST_CHAR_ARG2 (&comp_q, 1),
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	585 F77_CONST_CHAR_ARG2 (&comp_z, 1),
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	586 nn, ilo, ihi, aa.fortran_vec (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	587 nn, bb.fortran_vec (), nn, QQ.fortran_vec (), nn,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	588 ZZ.fortran_vec (), nn, info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	589 F77_CHAR_ARG_LEN (1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	590 F77_CHAR_ARG_LEN (1)));
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	591
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	592 // Check if just computing generalized eigenvalues,
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	593 // or if we're actually computing the decomposition.
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	594
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	595 // Reduce to generalized Schur form.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	596 F77_XFCN (dhgeqz, DHGEQZ,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	597 (F77_CONST_CHAR_ARG2 (&qz_job, 1),
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	598 F77_CONST_CHAR_ARG2 (&comp_q, 1),
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	599 F77_CONST_CHAR_ARG2 (&comp_z, 1),
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	600 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	601 nn, alphar.fortran_vec (), alphai.fortran_vec (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	602 betar.fortran_vec (), QQ.fortran_vec (), nn,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	603 ZZ.fortran_vec (), nn, work.fortran_vec (), nn, info
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)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	606 F77_CHAR_ARG_LEN (1)));
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	607
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	608 if (comp_q == 'V')
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	609 {
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	610 F77_XFCN (dggbak, DGGBAK,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	611 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	612 F77_CONST_CHAR_ARG2 ("L", 1),
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	613 nn, ilo, ihi, lscale.data (), rscale.data (),
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	614 nn, QQ.fortran_vec (), nn, info
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	615 F77_CHAR_ARG_LEN (1)
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	616 F77_CHAR_ARG_LEN (1)));
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	617
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	618 #if defined (DEBUG)
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	619 if (comp_q == 'V')
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	620 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	621 << QQ << std::endl;
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	622 #endif
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	623 }
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	624
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	625 // then right
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	626 if (comp_z == 'V')
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	627 {
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	628 F77_XFCN (dggbak, DGGBAK,
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	629 (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	630 F77_CONST_CHAR_ARG2 ("R", 1),
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	631 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	632 nn, ZZ.fortran_vec (), nn, info
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	633 F77_CHAR_ARG_LEN (1)
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	634 F77_CHAR_ARG_LEN (1)));
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	635
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	636 #if defined (DEBUG)
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	637 if (comp_z == 'V')
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	638 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	639 << ZZ << std::endl;
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	640 #endif
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	641 }
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	642
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	643 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	644
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	645 // Order the QZ decomposition?
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	646 if (ord_job != 'N')
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	647 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	648 if (complex_case)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	649 // Probably not needed, but better be safe.
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	650 error ("qz: cannot re-order complex QZ decomposition");
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	651
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	652 #if defined (DEBUG_SORT)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	653 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	654 << ord_job << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	655 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	656
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	657 // 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	658 static sort_function sort_test;
23795 980f39c3ab90 Use C++11 nullptr rather than 0 in code (bug #51565). Rik <rik@octave.org> parents: 23662 diff changeset	659 sort_test = nullptr;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	660
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	661 switch (ord_job)
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	662 {
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 sort_test = &fout;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	669 break;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	670
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	671 case '+':
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	672 sort_test = &fcrhp;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	673 break;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	674
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	675 case '-':
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	676 sort_test = &folhp;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	677 break;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	678
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	679 default:
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	680 // Invalid order option
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	681 // (should never happen since options were checked at the top).
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	682 panic_impossible ();
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	683 break;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	684 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	685
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	686 double inf_norm;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	687
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	688 F77_XFCN (xdlange, XDLANGE,
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	689 (F77_CONST_CHAR_ARG2 ("I", 1),
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	690 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	691 F77_CHAR_ARG_LEN (1)));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	692
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	693 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	694
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	695 #if defined (DEBUG_SORT)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	696 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	697 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	698 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	699 octave_print_internal (std::cout, bb, 0);
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	700 if (comp_z == 'V')
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	701 {
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	702 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	703 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	704 }
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	705 std::cout << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	706 std::cout << "alphar = " << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	707 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	708 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	709 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	710 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	711 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	712 std::cout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	713 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	714
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	715 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	716
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	717 F77_INT ndim, fail;
3550 bc492f4a94cb [project @ 2000-02-03 01:36:30 by jwe] jwe parents: 3538 diff changeset	718
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	719 F77_XFCN (dsubsp, DSUBSP,
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	720 (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	721 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	722 ind.fortran_vec ()));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	723
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	724 #if defined (DEBUG)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	725 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	726 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	727 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	728 octave_print_internal (std::cout, bb, 0);
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	729 if (comp_z == 'V')
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	730 {
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	731 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	732 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	733 }
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	734 std::cout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	735 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	736
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	737 // Manually update alphar, alphai, betar.
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	738 static F77_INT j;
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	739
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	740 j = 0;
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	741 while (j < nn)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	742 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	743 #if defined (DEBUG_EIG)
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	744 std::cout << "computing gen eig #" << j << std::endl;
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	745 #endif
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	746
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	747 // 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	748 static F77_INT zcnt;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	749
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	750 if (j == (nn-1))
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	751 zcnt = 1;
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	752 else if (aa(j+1,j) == 0)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	753 zcnt = 1;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	754 else zcnt = 2;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	755
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	756 if (zcnt == 1)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	757 {
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	758 // Real zero.
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	759 #if defined (DEBUG_EIG)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	760 std::cout << " single gen eig:" << std::endl;
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	761 std::cout << " alphar(" << j << ") = " << aa(j,j)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	762 << std::endl;
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	763 std::cout << " betar(" << j << ") = " << bb(j,j)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	764 << std::endl;
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	765 std::cout << " alphai(" << j << ") = 0" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	766 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	767
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	768 alphar(j) = aa(j,j);
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	769 alphai(j) = 0;
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	770 betar(j) = bb(j,j);
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	771 }
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	772 else
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	773 {
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	774 // Complex conjugate pair.
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	775 #if defined (DEBUG_EIG)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	776 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	777 std::cout << "safmin="
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	778 << setiosflags (std::ios::scientific)
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	779 << safmin << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	780
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	781 for (F77_INT idr = j; idr <= j+1; idr++)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	782 {
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	783 for (F77_INT idc = j; idc <= j+1; idc++)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	784 {
23807 336f89b6208b Use character literals 'c' rather than string literals "c" when possible. Rik <rik@octave.org> parents: 23795 diff changeset	785 std::cout << "aa(" << idr << ',' << idc << ")="
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	786 << aa(idr,idc) << std::endl;
23807 336f89b6208b Use character literals 'c' rather than string literals "c" when possible. Rik <rik@octave.org> parents: 23795 diff changeset	787 std::cout << "bb(" << idr << ',' << idc << ")="
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	788 << bb(idr,idc) << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	789 }
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	790 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	791 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	792
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	793 // FIXME: probably should be using
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	794 // fortran_vec instead of &aa(j,j) here.
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	795
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	796 double scale1, scale2, wr1, wr2, wi;
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	797 const double aa_ptr = aa.data () + j nn + j;
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	798 const double bb_ptr = bb.data () + j nn + j;
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	799 F77_XFCN (dlag2, DLAG2,
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	800 (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	801 scale1, scale2, wr1, wr2, wi));
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	802
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	803 #if defined (DEBUG_EIG)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	804 std::cout << "dlag2 returns: scale1=" << scale1
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	805 << "\tscale2=" << scale2 << std::endl
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	806 << "\twr1=" << wr1 << "\twr2=" << wr2
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	807 << "\twi=" << wi << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	808 #endif
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	809
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	810 // 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	811 if (wi == 0)
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	812 {
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	813 alphar(j) = wr1;
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	814 alphai(j) = 0;
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	815 betar(j) = scale1;
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	816 alphar(j+1) = wr2;
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	817 alphai(j+1) = 0;
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	818 betar(j+1) = scale2;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	819 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	820 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	821 {
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	822 alphar(j) = alphar(j+1) = wr1;
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	823 alphai(j) = -(alphai(j+1) = wi);
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	824 betar(j) = betar(j+1) = scale1;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	825 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	826 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	827
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	828 // Advance past this block.
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	829 j += zcnt;
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	830 }
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	831
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	832 #if defined (DEBUG_SORT)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	833 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	834 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	835 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	836 octave_print_internal (std::cout, bb, 0);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	837
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	838 if (comp_z == 'V')
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	839 {
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	840 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	841 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	842 }
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	843 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	844 << "fail=" << fail << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	845 std::cout << "alphar = " << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	846 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	847 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	848 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	849 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	850 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	851 std::cout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	852 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	853 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	854
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	855 // Compute the generalized eigenvalues as well?
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	856 ComplexColumnVector gev;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	857
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	858 if (nargout < 2 \|\| nargout == 7 \|\| (nargin == 3 && nargout == 4))
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	859 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	860 if (complex_case)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	861 {
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	862 ComplexColumnVector tmp (nn);
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	863
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	864 for (F77_INT i = 0; i < nn; i++)
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	865 tmp(i) = xalpha(i) / xbeta(i);
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	866
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	867 gev = tmp;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	868 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	869 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	870 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	871 #if defined (DEBUG)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	872 std::cout << "qz: computing generalized eigenvalues" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	873 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	874
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	875 // Return finite generalized eigenvalues.
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	876 ComplexColumnVector tmp (nn);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	877
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	878 F77_INT cnt = 0;
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	879 for (F77_INT i = 0; i < nn; i++)
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	880 if (betar(i) != 0)
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	881 tmp(cnt++) = Complex (alphar(i), alphai(i)) / betar(i);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	882
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	883 tmp.resize (cnt); // Trim vector to number of return values
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	884
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	885 gev = tmp;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	886 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	887 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	888
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	889 // Right, left eigenvector matrices.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	890 if (nargout >= 5)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	891 {
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	892 // Which side to compute?
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	893 char side = (nargout == 5 ? 'R' : 'B');
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	894 // Compute all of them and backtransform
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	895 char howmany = 'B';
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	896 // Dummy pointer; select is not used.
23457 21baad6b35c4 maint: Use C++11 nullptr rather than 0 or NULL when possible. Rik <rik@octave.org> parents: 23449 diff changeset	897 F77_INT *select = nullptr;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	898
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	899 if (complex_case)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	900 {
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	901 CVL = CQ;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	902 CVR = CZ;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	903 ComplexRowVector cwork2 (2 * nn);
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	904 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	905 F77_INT m;
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	906
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	907 F77_XFCN (ztgevc, ZTGEVC,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	908 (F77_CONST_CHAR_ARG2 (&side, 1),
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	909 F77_CONST_CHAR_ARG2 (&howmany, 1),
22407 34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22372 diff changeset	910 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	911 F77_DBLE_CMPLX_ARG (cbb.fortran_vec ()),
34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22372 diff changeset	912 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	913 F77_DBLE_CMPLX_ARG (CVR.fortran_vec ()), nn, nn,
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	914 m, F77_DBLE_CMPLX_ARG (cwork2.fortran_vec ()),
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	915 rwork2.fortran_vec (), info
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	916 F77_CHAR_ARG_LEN (1)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11570 diff changeset	917 F77_CHAR_ARG_LEN (1)));
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	918 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	919 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	920 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	921 #if defined (DEBUG)
21562 6c2fd62db1f7 maint: Eliminate accidental double spaces in code. Rik <rik@octave.org> parents: 21301 diff changeset	922 std::cout << "qz: computing generalized eigenvectors" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	923 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	924
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	925 VL = QQ;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	926 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	927 F77_INT m;
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	928
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	929 F77_XFCN (dtgevc, DTGEVC,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	930 (F77_CONST_CHAR_ARG2 (&side, 1),
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	931 F77_CONST_CHAR_ARG2 (&howmany, 1),
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	932 select, nn, aa.fortran_vec (), nn, bb.fortran_vec (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	933 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	934 m, work.fortran_vec (), info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	935 F77_CHAR_ARG_LEN (1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	936 F77_CHAR_ARG_LEN (1)));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	937
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	938 // Now construct the complex form of VV, WW.
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	939 F77_INT j = 0;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	940
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	941 while (j < nn)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	942 {
22860 0b1e25cc4457 eliminate use of OCTAVE_QUIT macro in C++ sources John W. Eaton <jwe@octave.org> parents: 22755 diff changeset	943 octave_quit ();
4153 6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4051 diff changeset	944
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	945 // See if real or complex eigenvalue.
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	946
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	947 // Column increment; assume complex eigenvalue.
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	948 int cinc = 2;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	949
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	950 if (j == (nn-1))
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	951 // Single column.
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	952 cinc = 1;
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	953 else if (aa(j+1,j) == 0)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	954 cinc = 1;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	955
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	956 // Now copy the eigenvector (s) to CVR, CVL.
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	957 if (cinc == 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	958 {
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	959 for (F77_INT i = 0; i < nn; i++)
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	960 CVR(i,j) = VR(i,j);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	961
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	962 if (side == 'B')
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	963 for (F77_INT i = 0; i < nn; i++)
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	964 CVL(i,j) = VL(i,j);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	965 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	966 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	967 {
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	968 // Double column; complex vector.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	969
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	970 for (F77_INT i = 0; i < nn; i++)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	971 {
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	972 CVR(i,j) = Complex (VR(i,j), VR(i,j+1));
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	973 CVR(i,j+1) = Complex (VR(i,j), -VR(i,j+1));
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	974 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	975
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	976 if (side == 'B')
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	977 for (F77_INT i = 0; i < nn; i++)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	978 {
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	979 CVL(i,j) = Complex (VL(i,j), VL(i,j+1));
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	980 CVL(i,j+1) = Complex (VL(i,j), -VL(i,j+1));
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 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	983
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	984 // Advance to next eigenvectors (if any).
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	985 j += cinc;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	986 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	987 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	988 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	989
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	990 octave_value_list retval (nargout);
32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	991
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	992 switch (nargout)
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	993 {
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	994 case 7:
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	995 retval(6) = gev;
23826 d69021d58a61 avoid fallthrough warnings John W. Eaton <jwe@octave.org> parents: 23807 diff changeset	996 OCTAVE_FALLTHROUGH;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	997
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	998 case 6:
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	999 // Return left eigenvectors.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1000 retval(5) = CVL;
23826 d69021d58a61 avoid fallthrough warnings John W. Eaton <jwe@octave.org> parents: 23807 diff changeset	1001 OCTAVE_FALLTHROUGH;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1002
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1003 case 5:
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	1004 // Return right eigenvectors.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1005 retval(4) = CVR;
23826 d69021d58a61 avoid fallthrough warnings John W. Eaton <jwe@octave.org> parents: 23807 diff changeset	1006 OCTAVE_FALLTHROUGH;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1007
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1008 case 4:
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1009 if (nargin == 3)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1010 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	1011 #if defined (DEBUG)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1012 std::cout << "qz: sort: retval(3) = gev = " << std::endl;
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	1013 octave_print_internal (std::cout, ComplexMatrix (gev));
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1014 std::cout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1015 #endif
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1016 retval(3) = gev;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1017 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1018 else
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1019 {
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1020 if (complex_case)
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1021 retval(3) = CZ;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1022 else
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1023 retval(3) = ZZ;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1024 }
23826 d69021d58a61 avoid fallthrough warnings John W. Eaton <jwe@octave.org> parents: 23807 diff changeset	1025 OCTAVE_FALLTHROUGH;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1026
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1027 case 3:
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1028 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	1029 {
54a386f2ac4e correcly compute Z for 3-output call to qz (bug #36728) John W. Eaton <jwe@octave.org> parents: 14844 diff changeset	1030 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	1031 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	1032 else
54a386f2ac4e correcly compute Z for 3-output call to qz (bug #36728) John W. Eaton <jwe@octave.org> parents: 14844 diff changeset	1033 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	1034 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1035 else
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1036 {
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1037 if (complex_case)
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1038 retval(2) = CQ.hermitian ();
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1039 else
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1040 retval(2) = QQ.transpose ();
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1041 }
23826 d69021d58a61 avoid fallthrough warnings John W. Eaton <jwe@octave.org> parents: 23807 diff changeset	1042 OCTAVE_FALLTHROUGH;
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1043
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1044 case 2:
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	1045 {
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1046 if (complex_case)
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1047 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	1048 #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	1049 std::cout << "qz: retval(1) = cbb = " << std::endl;
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1050 octave_print_internal (std::cout, cbb, 0);
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1051 std::cout << std::endl << "qz: retval(0) = caa = " <<std::endl;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1052 octave_print_internal (std::cout, caa, 0);
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1053 std::cout << std::endl;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11570 diff changeset	1054 #endif
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1055 retval(1) = cbb;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1056 retval(0) = caa;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1057 }
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	1058 else
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	1059 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	1060 #if defined (DEBUG)
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	1061 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	1062 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	1063 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	1064 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	1065 std::cout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1066 #endif
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	1067 retval(1) = bb;
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	1068 retval(0) = aa;
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	1069 }
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11570 diff changeset	1070 }
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1071 break;
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	1072
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1073 case 1:
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1074 case 0:
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	1075 #if defined (DEBUG)
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	1076 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	1077 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1078 retval(0) = gev;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1079 break;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1080
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1081 default:
11553 01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	1082 error ("qz: too many return arguments");
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1083 break;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1084 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1085
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	1086 #if defined (DEBUG)
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	1087 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	1088 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1089
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1090 return retval;
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1091 }
13074 0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	1092
0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	1093 /*
0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	1094 %!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	1095 %! 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	1096 %! 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	1097 %! 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	1098 %!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	1099 %!assert (isempty (qz (a,c)))
13074 0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	1100
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	1101 ## Example 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	1102 %!test
0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	1103 %! a = [ 10 1 2;
0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	1104 %! 1 2 -1;
0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	1105 %! 1 1 2];
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14360 diff changeset	1106 %! 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	1107 %! [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	1108 %! sz = length (lambda);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14360 diff changeset	1109 %! 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	1110 %! 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	1111 %! 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	1112 %! 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	1113 %! 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	1114 %! 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	1115
14876 54a386f2ac4e correcly compute Z for 3-output call to qz (bug #36728) John W. Eaton <jwe@octave.org> parents: 14844 diff changeset	1116 %!test
54a386f2ac4e correcly compute Z for 3-output call to qz (bug #36728) John W. Eaton <jwe@octave.org> parents: 14844 diff changeset	1117 %! 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	1118 %! 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	1119 %! [AA, BB, Q, Z1] = qz (A, B);
23430 32d532b8e7d0 qz.cc: Overhaul qz function. Rik <rik@octave.org> parents: 23429 diff changeset	1120 %! [AA, BB, Z2] = qz (A, B, "-");
14876 54a386f2ac4e correcly compute Z for 3-output call to qz (bug #36728) John W. Eaton <jwe@octave.org> parents: 14844 diff changeset	1121 %! assert (Z1, Z2);
13074 0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	1122 */

Mercurial > octave

annotate libinterp/corefcn/qz.cc @ 24116:e1020353fff5