octave: libinterp/corefcn/qz.cc annotate

annotate libinterp/corefcn/qz.cc @ 22964:0c12642be005

use F77_INT instead of octave_idx_type for libinterp QZ function * qz.cc: Use F77_INT instead of octave_idx_type for integer data passed to Fortran subroutines.

author	John W. Eaton <jwe@octave.org>
date	Tue, 27 Dec 2016 13:32:28 -0500
parents	0b1e25cc4457
children	cd33c785e80e

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
22323 bac0d6f07a3e maint: Update copyright notices for 2016. John W. Eaton <jwe@octave.org> parents: 22322 diff changeset	3 Copyright (C) 1998-2016 A. S. Hodel
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	4
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	5 This file is part of Octave.
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	6
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	7 Octave is free software; you can redistribute it and/or modify it
22755 3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22407 diff changeset	8 under the terms of the GNU General Public License as published by
3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22407 diff changeset	9 the Free Software Foundation; either version 3 of the License, or
3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22407 diff changeset	10 (at your option) any later version.
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	11
22755 3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22407 diff changeset	12 Octave is distributed in the hope that it will be useful, but
3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22407 diff changeset	13 WITHOUT ANY WARRANTY; without even the implied warranty of
3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22407 diff changeset	14 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22407 diff changeset	15 GNU General Public License for more details.
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	16
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	17 You should have received a copy of the GNU General Public License
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 5823 diff changeset	18 along with Octave; see the file COPYING. If not, see
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 5823 diff changeset	19 <http://www.gnu.org/licenses/>.
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	20
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	21 */
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	22
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	23 // Generalized eigenvalue balancing via LAPACK
3911 8389e78e67d4 [project @ 2002-04-28 02:15:38 by jwe] jwe parents: 3887 diff changeset	24
8389e78e67d4 [project @ 2002-04-28 02:15:38 by jwe] jwe parents: 3887 diff changeset	25 // Author: A. S. Hodel <scotte@eng.auburn.edu>
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	26
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	27 #undef DEBUG
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	28 #undef DEBUG_SORT
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	29 #undef DEBUG_EIG
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	30
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	31 #if defined (HAVE_CONFIG_H)
21301 40de9f8f23a6 Use '#include "config.h"' rather than <config.h>. Rik <rik@octave.org> parents: 21279 diff changeset	32 # include "config.h"
9786 2c279308f6ab fix includes in some src/DLD-FUNCTIONS files John W. Eaton <jwe@octave.org> parents: 9758 diff changeset	33 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	34
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	35 #include <cfloat>
4051 b79da8779a0e [project @ 2002-08-17 19:38:32 by jwe] jwe parents: 3911 diff changeset	36
3523 b80bbb43a1a9 [project @ 2000-02-02 10:25:52 by jwe] jwe parents: 3500 diff changeset	37 #include <iostream>
4051 b79da8779a0e [project @ 2002-08-17 19:38:32 by jwe] jwe parents: 3911 diff changeset	38 #include <iomanip>
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	39
4153 6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4051 diff changeset	40 #include "f77-fcn.h"
22322 93b3cdd36854 move most f77 function decls to separate header files John W. Eaton <jwe@octave.org> parents: 22317 diff changeset	41 #include "lo-lapack-proto.h"
7231 2eb392d058bb [project @ 2007-11-30 18:53:29 by jwe] jwe parents: 7017 diff changeset	42 #include "lo-math.h"
21279 eb1524b07fe3 better use of templates for qr classes John W. Eaton <jwe@octave.org> parents: 21200 diff changeset	43 #include "qr.h"
4153 6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4051 diff changeset	44 #include "quit.h"
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4051 diff changeset	45
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14876 diff changeset	46 #include "defun.h"
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	47 #include "error.h"
21100 e39e05d90788 Switch gripe_XXX to either err_XXX or warn_XXX naming scheme. Rik <rik@octave.org> parents: 21024 diff changeset	48 #include "errwarn.h"
20940 48b2ad5ee801 maint: Rename oct-obj.[cc\|h] to ovl.[cc\|h] for clarity. Rik <rik@octave.org> parents: 20892 diff changeset	49 #include "ovl.h"
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	50 #include "oct-map.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	51 #include "ov.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	52 #include "pager.h"
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	53 #if defined (DEBUG) \|\| defined (DEBUG_SORT)
21200 fcac5dbbf9ed maint: Indent #ifdef blocks in libinterp. Rik <rik@octave.org> parents: 21110 diff changeset	54 # include "pr-output.h"
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	55 #endif
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	56 #include "symtab.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	57 #include "utils.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	58 #include "variables.h"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	59
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	60 typedef F77_INT (*sort_function) (const F77_INT& LSIZE,
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	61 const double& ALPHA, const double& BETA,
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	62 const double& S, const double& P);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	63
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	64 extern "C"
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	65 {
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	66 // Van Dooren's code (netlib.org: toms/590) for reordering
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	67 // GEP. Only processes Z, not Q.
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	68 F77_RET_T
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	69 F77_FUNC (dsubsp, DSUBSP) (const F77_INT& NMAX, const F77_INT& N,
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	70 F77_DBLE* A, F77_DBLE* B, F77_DBLE* Z,
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	71 sort_function, const F77_DBLE& EPS,
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	72 F77_INT& NDIM, F77_INT& FAIL, F77_INT* IND);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	73 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	74
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	75 // fcrhp, fin, fout, folhp:
21562 6c2fd62db1f7 maint: Eliminate accidental double spaces in code. Rik <rik@octave.org> parents: 21301 diff changeset	76 // Routines for ordering of generalized eigenvalues.
6c2fd62db1f7 maint: Eliminate accidental double spaces in code. Rik <rik@octave.org> parents: 21301 diff changeset	77 // Return 1 if test is passed, 0 otherwise.
6c2fd62db1f7 maint: Eliminate accidental double spaces in code. Rik <rik@octave.org> parents: 21301 diff changeset	78 // fin: \|lambda\| < 1
6c2fd62db1f7 maint: Eliminate accidental double spaces in code. Rik <rik@octave.org> parents: 21301 diff changeset	79 // fout: \|lambda\| >= 1
6c2fd62db1f7 maint: Eliminate accidental double spaces in code. Rik <rik@octave.org> parents: 21301 diff changeset	80 // fcrhp: real(lambda) >= 0
6c2fd62db1f7 maint: Eliminate accidental double spaces in code. Rik <rik@octave.org> parents: 21301 diff changeset	81 // folhp: real(lambda) < 0
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	82
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	83 static F77_INT
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	84 fcrhp (const F77_INT& lsize, const double& alpha, const double& beta,
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	85 const double& s, const double&)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	86 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	87 if (lsize == 1)
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	88 return (alpha * beta >= 0 ? 1 : -1);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	89 else
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	90 return (s >= 0 ? 1 : -1);
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	91 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	92
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	93 static F77_INT
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	94 fin (const F77_INT& lsize, const double& alpha, const double& beta,
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	95 const double&, const double& p)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	96 {
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	97 F77_INT retval;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	98
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	99 if (lsize == 1)
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	100 retval = (fabs (alpha) < fabs (beta) ? 1 : -1);
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	101 else
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	102 retval = (fabs (p) < 1 ? 1 : -1);
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	103
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	104 #if defined (DEBUG)
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	105 std::cout << "qz: fin: retval=" << retval << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	106 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	107
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	108 return retval;
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	109 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	110
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	111 static F77_INT
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	112 folhp (const F77_INT& lsize, const double& alpha, const double& beta,
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	113 const double& s, const double&)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	114 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	115 if (lsize == 1)
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	116 return (alpha * beta < 0 ? 1 : -1);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	117 else
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	118 return (s < 0 ? 1 : -1);
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	119 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	120
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	121 static F77_INT
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	122 fout (const F77_INT& lsize, const double& alpha, const double& beta,
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	123 const double&, const double& p)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	124 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	125 if (lsize == 1)
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	126 return (fabs (alpha) >= fabs (beta) ? 1 : -1);
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	127 else
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	128 return (fabs (p) >= 1 ? 1 : -1);
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	129 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	130
13074 0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	131 //FIXME: Matlab does not produce lambda as the first output argument.
0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	132 // Compatibility problem?
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14876 diff changeset	133 DEFUN (qz, args, nargout,
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	134 doc: /* -- texinfo --
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	135 @deftypefn {} {@var{lambda} =} qz (@var{A}, @var{B})
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	136 @deftypefnx {} {@var{lambda} =} qz (@var{A}, @var{B}, @var{opt})
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
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	138 (@math{A x = s B x}).
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	139
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	140 There are three ways to call this function:
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	141 @enumerate
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	142 @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	143
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	144 Computes the generalized eigenvalues
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	145 @tex
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	146 $\lambda$
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	147 @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	148 @ifnottex
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	149 @var{lambda}
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	150 @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	151 of @math{(A - s B)}.
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	152
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	153 @item @code{[AA, BB, Q, Z, V, W, @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	154
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	155 Computes QZ@tie{}decomposition, generalized eigenvectors, and generalized
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	156 eigenvalues of @math{(A - s B)}
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	157 @tex
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	158 $$ AV = BV{ \rm diag }(\lambda) $$
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	159 $$ W^T A = { \rm diag }(\lambda)W^T B $$
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	160 $$ AA = Q^T AZ, BB = Q^T BZ $$
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	161 @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	162 @ifnottex
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	163
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	164 @example
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	165 @group
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	166
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	167 A * V = B * V * diag (@var{lambda})
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	168 W' * A = diag (@var{lambda}) * W' * B
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	169 AA = Q * A * Z, BB = Q * B * Z
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 @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	172 @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	173
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	174 @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	175 with @var{Q} and @var{Z} orthogonal (unitary)= @var{I}
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	176
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	177 @item @code{[AA,BB,Z@{, @var{lambda}@}] = qz (@var{A}, @var{B}, @var{opt})}
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	178
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	179 As in form [2], but allows ordering of generalized eigenpairs for, e.g.,
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	180 solution of discrete time algebraic Riccati equations. Form 3 is not
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	181 available for complex matrices, and does not compute the generalized
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	182 eigenvectors @var{V}, @var{W}, nor the orthogonal matrix @var{Q}.
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	183
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	184 @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	185 @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	186 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	187 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	188
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	189 @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	190 @item @qcode{"N"}
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	191 = unordered (default)
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	192
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	193 @item @qcode{"S"}
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	194 = small: leading block has all \|lambda\| @leq{} 1
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 @item @qcode{"B"}
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	197 = big: leading block has all \|lambda\| @geq{} 1
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	198
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	199 @item @qcode{"-"}
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	200 = negative real part: leading block has all eigenvalues
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	201 in the open left half-plane
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	202
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	203 @item @qcode{"+"}
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	204 = non-negative real part: leading block has all eigenvalues
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	205 in the closed right half-plane
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	206 @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	207 @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	208 @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	209
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	210 Note: @code{qz} performs permutation balancing, but not scaling
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	211 (@pxref{XREFbalance}). The order of output arguments was selected for
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	212 compatibility with @sc{matlab}.
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21751 diff changeset	213 @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	214 @end deftypefn */)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	215 {
22137 37f41acc2c39 avoid GCC warning about longjmp possibly clobbering variable John W. Eaton <jwe@octave.org> parents: 22135 diff changeset	216 volatile int nargin = args.length ();
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	217
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	218 #if defined (DEBUG)
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	219 std::cout << "qz: nargin = " << nargin
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	220 << ", nargout = " << nargout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	221 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	222
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	223 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	224 print_usage ();
8bb38ba1bad6 eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20700 diff changeset	225
8bb38ba1bad6 eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20700 diff changeset	226 if (nargin == 3 && (nargout < 3 \|\| nargout > 4))
8bb38ba1bad6 eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20700 diff changeset	227 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	228
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	229 #if defined (DEBUG)
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	230 std::cout << "qz: determine ordering option" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	231 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	232
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	233 // Determine ordering option.
8927 d75f4ee0538d qz.cc (Fqz): avoid maybe clobbred by vfork warning from GCC John W. Eaton <jwe@octave.org> parents: 8920 diff changeset	234 volatile char ord_job = 0;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	235 static double safmin;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	236
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	237 if (nargin == 2)
8927 d75f4ee0538d qz.cc (Fqz): avoid maybe clobbred by vfork warning from GCC John W. Eaton <jwe@octave.org> parents: 8920 diff changeset	238 ord_job = 'N';
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	239 else
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	240 {
20700 68e3a747ca02 rename octave_value value extractors that accept error message args John W. Eaton <jwe@octave.org> parents: 20581 diff changeset	241 std::string tmp = args(2).xstring_value ("qz: OPT must be a string");
8927 d75f4ee0538d qz.cc (Fqz): avoid maybe clobbred by vfork warning from GCC John W. Eaton <jwe@octave.org> parents: 8920 diff changeset	242
d75f4ee0538d qz.cc (Fqz): avoid maybe clobbred by vfork warning from GCC John W. Eaton <jwe@octave.org> parents: 8920 diff changeset	243 if (! tmp.empty ())
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	244 ord_job = tmp[0];
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	245
8927 d75f4ee0538d qz.cc (Fqz): avoid maybe clobbred by vfork warning from GCC John W. Eaton <jwe@octave.org> parents: 8920 diff changeset	246 if (! (ord_job == 'N' \|\| ord_job == 'n'
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	247 \|\| ord_job == 'S' \|\| ord_job == 's'
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	248 \|\| ord_job == 'B' \|\| ord_job == 'b'
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	249 \|\| ord_job == '+' \|\| ord_job == '-'))
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	250 error ("qz: invalid order option");
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	251
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	252 // overflow constant required by dlag2
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	253 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	254 safmin
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	255 F77_CHAR_ARG_LEN (1));
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	256
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	257 #if defined (DEBUG_EIG)
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	258 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	259 << setiosflags (std::ios::scientific)
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	260 << safmin << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	261 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	262
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	263 // Some machines (e.g., DEC alpha) get safmin = 0;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	264 // 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	265 if (safmin == 0)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	266 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	267 #if defined (DEBUG_EIG)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	268 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	269 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	270
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	271 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	272 safmin
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	273 F77_CHAR_ARG_LEN (1));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	274
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	275 #if defined (DEBUG_EIG)
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	276 std::cout << "qz: safmin set to "
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	277 << setiosflags (std::ios::scientific)
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	278 << safmin << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	279 #endif
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	280 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	281 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	282
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	283 #if defined (DEBUG)
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	284 std::cout << "qz: check argument 1" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	285 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	286
21751 b571fc85953f maint: Use two spaces after period to indicate sentence break. Rik <rik@octave.org> parents: 21724 diff changeset	287 // Argument 1: check if it's okay dimensioned.
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	288 F77_INT nn = to_f77_int (args(0).rows ());
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	289 F77_INT nc = to_f77_int (args(0).columns ());
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	290
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	291 #if defined (DEBUG)
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	292 std::cout << "argument 1 dimensions: ("
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	293 << nn << "," << nc << ")"
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	294 << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	295 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	296
20892 c07bee629973 2015 Code Sprint: use ovl (). Rik <rik@octave.org> parents: 20853 diff changeset	297 octave_value_list retval;
c07bee629973 2015 Code Sprint: use ovl (). Rik <rik@octave.org> parents: 20853 diff changeset	298
22372 0c0de2205d38 utils.h: deprecated out of date arg_is_empty function. Carnë Draug <carandraug@octave.org> parents: 22323 diff changeset	299 if (args(0).is_empty ())
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	300 {
21100 e39e05d90788 Switch gripe_XXX to either err_XXX or warn_XXX naming scheme. Rik <rik@octave.org> parents: 21024 diff changeset	301 warn_empty_arg ("qz: parameter 1; continuing");
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	302 return octave_value_list (2, Matrix ());
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	303 }
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	304 else if (nc != nn)
21110 3d0d84305600 Use err_square_matrix_required more widely. Rik <rik@octave.org> parents: 21100 diff changeset	305 err_square_matrix_required ("qz", "A");
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	306
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	307 // Argument 1: dimensions look good; get the value.
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	308 Matrix aa;
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	309 ComplexMatrix caa;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	310
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	311 if (args(0).is_complex_type ())
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	312 caa = args(0).complex_matrix_value ();
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	313 else
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	314 aa = args(0).matrix_value ();
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	315
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	316 #if defined (DEBUG)
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	317 std::cout << "qz: check argument 2" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	318 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	319
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	320 // Extract argument 2 (bb, or cbb if complex).
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	321 F77_INT b_nr = to_f77_int (args(1).rows ());
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	322 F77_INT b_nc = to_f77_int (args(1).columns ());
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	323
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	324 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	325 err_nonconformant ();
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	326
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	327 Matrix bb;
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	328 ComplexMatrix cbb;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	329
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	330 if (args(1).is_complex_type ())
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	331 cbb = args(1).complex_matrix_value ();
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	332 else
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	333 bb = args(1).matrix_value ();
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	334
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	335 // Both matrices loaded, now let's check what kind of arithmetic:
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	336 // declared volatile to avoid compiler warnings about long jumps,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	337 // vforks.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	338
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	339 volatile int complex_case
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	340 = (args(0).is_complex_type () \|\| args(1).is_complex_type ());
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	341
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	342 if (nargin == 3 && complex_case)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	343 error ("qz: cannot re-order complex qz decomposition");
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	344
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	345 // First, declare variables used in both the real and complex case.
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	346 Matrix QQ(nn,nn), ZZ(nn,nn), VR(nn,nn), VL(nn,nn);
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	347 RowVector alphar(nn), alphai(nn), betar(nn);
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	348 ComplexRowVector xalpha(nn), xbeta(nn);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	349 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	350 F77_INT ilo, ihi, info;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	351 char compq = (nargout >= 3 ? 'V' : 'N');
14876 54a386f2ac4e correcly compute Z for 3-output call to qz (bug #36728) John W. Eaton <jwe@octave.org> parents: 14844 diff changeset	352 char compz = ((nargout >= 4 \|\| nargin == 3)? 'V' : 'N');
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	353
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	354 // Initialize Q, Z to identity if we need either of them.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	355 if (compq == 'V' \|\| compz == 'V')
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	356 for (F77_INT ii = 0; ii < nn; ii++)
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	357 for (F77_INT jj = 0; jj < nn; jj++)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	358 {
22860 0b1e25cc4457 eliminate use of OCTAVE_QUIT macro in C++ sources John W. Eaton <jwe@octave.org> parents: 22755 diff changeset	359 octave_quit ();
0b1e25cc4457 eliminate use of OCTAVE_QUIT macro in C++ sources John W. Eaton <jwe@octave.org> parents: 22755 diff changeset	360
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	361 QQ(ii,jj) = ZZ(ii,jj) = (ii == jj ? 1.0 : 0.0);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	362 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	363
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	364 // Always perform permutation balancing.
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	365 const char bal_job = 'P';
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	366 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	367
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	368 if (complex_case)
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	369 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	370 #if defined (DEBUG)
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	371 if (compq == 'V')
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	372 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	373 << CQ << std::endl;
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	374 #endif
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	375 if (args(0).is_real_type ())
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	376 caa = ComplexMatrix (aa);
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	377
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	378 if (args(1).is_real_type ())
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	379 cbb = ComplexMatrix (bb);
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	380
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	381 if (compq == 'V')
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	382 CQ = ComplexMatrix (QQ);
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	383
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	384 if (compz == 'V')
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	385 CZ = ComplexMatrix (ZZ);
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	386
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	387 F77_XFCN (zggbal, ZGGBAL,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	388 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
22407 34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22372 diff changeset	389 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	390 F77_DBLE_CMPLX_ARG (cbb.fortran_vec ()),
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	391 nn, ilo, ihi, lscale.fortran_vec (),
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	392 rscale.fortran_vec (), work.fortran_vec (), info
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	393 F77_CHAR_ARG_LEN (1)));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	394 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	395 else
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	396 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	397 #if defined (DEBUG)
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	398 if (compq == 'V')
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	399 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	400 << QQ << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	401 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	402
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	403 F77_XFCN (dggbal, DGGBAL,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	404 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	405 nn, aa.fortran_vec (), nn, bb.fortran_vec (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	406 nn, ilo, ihi, lscale.fortran_vec (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	407 rscale.fortran_vec (), work.fortran_vec (), info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	408 F77_CHAR_ARG_LEN (1)));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	409 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	410
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	411 // 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	412 // 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	413
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	414 #if 0
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	415 if (compq == 'V')
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	416 {
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	417 F77_XFCN (dggbak, DGGBAK,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	418 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	419 F77_CONST_CHAR_ARG2 ("L", 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	420 nn, ilo, ihi, lscale.data (), rscale.data (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	421 nn, QQ.fortran_vec (), nn, info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	422 F77_CHAR_ARG_LEN (1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	423 F77_CHAR_ARG_LEN (1)));
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	424
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	425 #if defined (DEBUG)
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	426 if (compq == 'V')
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	427 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	428 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	429 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	430
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	431 // then right
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	432 if (compz == 'V')
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	433 {
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4153 diff changeset	434 F77_XFCN (dggbak, DGGBAK,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	435 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	436 F77_CONST_CHAR_ARG2 ("R", 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	437 nn, ilo, ihi, lscale.data (), rscale.data (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	438 nn, ZZ.fortran_vec (), nn, info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	439 F77_CHAR_ARG_LEN (1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	440 F77_CHAR_ARG_LEN (1)));
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	441
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	442 #if defined (DEBUG)
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	443 if (compz == 'V')
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	444 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	445 #endif
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	446 }
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	447 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	448
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	449 static char qz_job;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11570 diff changeset	450 qz_job = (nargout < 2 ? 'E' : 'S');
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	451
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	452 if (complex_case)
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	453 {
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	454 // Complex case.
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	455
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	456 // 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	457 octave::math::qr<ComplexMatrix> cbqr (cbb);
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	458 // The R matrix of QR decomposition for cbb.
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	459 cbb = cbqr.R ();
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	460 // (Q*)caa for following work.
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	461 caa = (cbqr.Q ().hermitian ()) * caa;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	462 CQ = CQ * cbqr.Q ();
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	463
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	464 F77_XFCN (zgghrd, ZGGHRD,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	465 (F77_CONST_CHAR_ARG2 (&compq, 1),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	466 F77_CONST_CHAR_ARG2 (&compz, 1),
22135 407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531) John W. Eaton <jwe@octave.org> parents: 22133 diff changeset	467 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	468 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	469 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	470 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	471 F77_CHAR_ARG_LEN (1)
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	472 F77_CHAR_ARG_LEN (1)));
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	473
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11570 diff changeset	474 ComplexRowVector cwork (1 * nn);
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	475
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	476 F77_XFCN (zhgeqz, ZHGEQZ,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	477 (F77_CONST_CHAR_ARG2 (&qz_job, 1),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	478 F77_CONST_CHAR_ARG2 (&compq, 1),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	479 F77_CONST_CHAR_ARG2 (&compz, 1),
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11570 diff changeset	480 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	481 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	482 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	483 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	484 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	485 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	486 F77_DBLE_CMPLX_ARG (CZ.fortran_vec ()), nn,
407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531) John W. Eaton <jwe@octave.org> parents: 22133 diff changeset	487 F77_DBLE_CMPLX_ARG (cwork.fortran_vec ()), nn, rwork.fortran_vec (), info
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	488 F77_CHAR_ARG_LEN (1)
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	489 F77_CHAR_ARG_LEN (1)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11570 diff changeset	490 F77_CHAR_ARG_LEN (1)));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	491
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11570 diff changeset	492 if (compq == 'V')
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	493 {
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	494 // Left eigenvector.
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	495 F77_XFCN (zggbak, ZGGBAK,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	496 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	497 F77_CONST_CHAR_ARG2 ("L", 1),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	498 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	499 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	500 F77_CHAR_ARG_LEN (1)
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	501 F77_CHAR_ARG_LEN (1)));
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11570 diff changeset	502 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	503
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	504 // Right eigenvector.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	505 if (compz == 'V')
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	506 {
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	507 F77_XFCN (zggbak, ZGGBAK,
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	508 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	509 F77_CONST_CHAR_ARG2 ("R", 1),
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	510 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	511 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	512 F77_CHAR_ARG_LEN (1)
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	513 F77_CHAR_ARG_LEN (1)));
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11570 diff changeset	514 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	515
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	516 }
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	517 else
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	518 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	519 #if defined (DEBUG)
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	520 std::cout << "qz: peforming qr decomposition of bb" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	521 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	522
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	523 // 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	524 octave::math::qr<Matrix> bqr (bb);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	525
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	526 #if defined (DEBUG)
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	527 std::cout << "qz: qr (bb) done; now peforming qz decomposition"
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	528 << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	529 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	530
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	531 bb = bqr.R ();
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	532
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	533 #if defined (DEBUG)
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	534 std::cout << "qz: extracted bb" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	535 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	536
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	537 aa = (bqr.Q ()).transpose () * aa;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	538
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	539 #if defined (DEBUG)
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	540 std::cout << "qz: updated aa " << std::endl;
0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	541 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	542
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	543 if (compq == 'V')
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	544 std::cout << "QQ =" << QQ << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	545 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	546
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	547 if (compq == 'V')
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	548 QQ = QQ * bqr.Q ();
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	549
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	550 #if defined (DEBUG)
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	551 std::cout << "qz: precursors done..." << 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
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	554 #if defined (DEBUG)
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	555 std::cout << "qz: compq = " << compq << ", compz = " << compz
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	556 << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	557 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	558
21562 6c2fd62db1f7 maint: Eliminate accidental double spaces in code. Rik <rik@octave.org> parents: 21301 diff changeset	559 // Reduce to generalized Hessenberg form.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	560 F77_XFCN (dgghrd, DGGHRD,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	561 (F77_CONST_CHAR_ARG2 (&compq, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	562 F77_CONST_CHAR_ARG2 (&compz, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	563 nn, ilo, ihi, aa.fortran_vec (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	564 nn, bb.fortran_vec (), nn, QQ.fortran_vec (), nn,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	565 ZZ.fortran_vec (), nn, info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	566 F77_CHAR_ARG_LEN (1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	567 F77_CHAR_ARG_LEN (1)));
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	568
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	569 // Check if just computing generalized eigenvalues or if we're
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	570 // actually computing the decomposition.
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	571
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	572 // Reduce to generalized Schur form.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	573 F77_XFCN (dhgeqz, DHGEQZ,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	574 (F77_CONST_CHAR_ARG2 (&qz_job, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	575 F77_CONST_CHAR_ARG2 (&compq, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	576 F77_CONST_CHAR_ARG2 (&compz, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	577 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	578 nn, alphar.fortran_vec (), alphai.fortran_vec (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	579 betar.fortran_vec (), QQ.fortran_vec (), nn,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	580 ZZ.fortran_vec (), nn, work.fortran_vec (), nn, info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	581 F77_CHAR_ARG_LEN (1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	582 F77_CHAR_ARG_LEN (1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	583 F77_CHAR_ARG_LEN (1)));
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	584
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	585 if (compq == 'V')
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	586 {
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	587 F77_XFCN (dggbak, DGGBAK,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	588 (F77_CONST_CHAR_ARG2 (&bal_job, 1),
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	589 F77_CONST_CHAR_ARG2 ("L", 1),
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	590 nn, ilo, ihi, lscale.data (), rscale.data (),
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	591 nn, QQ.fortran_vec (), nn, info
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	592 F77_CHAR_ARG_LEN (1)
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	593 F77_CHAR_ARG_LEN (1)));
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	594
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	595 #if defined (DEBUG)
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	596 if (compq == 'V')
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	597 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	598 << QQ << std::endl;
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	599 #endif
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	600 }
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	601
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	602 // then right
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	603 if (compz == 'V')
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	604 {
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	605 F77_XFCN (dggbak, DGGBAK,
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	606 (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	607 F77_CONST_CHAR_ARG2 ("R", 1),
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	608 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	609 nn, ZZ.fortran_vec (), nn, info
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	610 F77_CHAR_ARG_LEN (1)
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	611 F77_CHAR_ARG_LEN (1)));
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	612
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	613 #if defined (DEBUG)
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	614 if (compz == 'V')
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	615 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	616 << ZZ << std::endl;
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	617 #endif
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	618 }
4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	619
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	620 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	621
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	622 // Order the QZ decomposition?
8927 d75f4ee0538d qz.cc (Fqz): avoid maybe clobbred by vfork warning from GCC John W. Eaton <jwe@octave.org> parents: 8920 diff changeset	623 if (! (ord_job == 'N' \|\| ord_job == 'n'))
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	624 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	625 if (complex_case)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	626 // Probably not needed, but better be safe.
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	627 error ("qz: cannot re-order complex qz decomposition");
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	628
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	629 #if defined (DEBUG_SORT)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	630 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	631 << ord_job << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	632 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	633
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	634 // 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	635 static sort_function sort_test;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	636 sort_test = 0;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	637
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	638 switch (ord_job)
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	639 {
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	640 case 'S':
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	641 case 's':
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	642 sort_test = &fin;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	643 break;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	644
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	645 case 'B':
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	646 case 'b':
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	647 sort_test = &fout;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	648 break;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	649
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	650 case '+':
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	651 sort_test = &fcrhp;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	652 break;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	653
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	654 case '-':
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	655 sort_test = &folhp;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	656 break;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	657
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	658 default:
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	659 // Invalid order option (should never happen, since we
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	660 // checked the options at the top).
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	661 panic_impossible ();
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	662 break;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	663 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	664
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	665 double inf_norm;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	666
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	667 F77_XFCN (xdlange, XDLANGE,
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	668 (F77_CONST_CHAR_ARG2 ("I", 1),
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	669 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	670 F77_CHAR_ARG_LEN (1)));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	671
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	672 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	673
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	674 #if defined (DEBUG_SORT)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	675 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	676 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	677 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	678 octave_print_internal (std::cout, bb, 0);
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	679 if (compz == 'V')
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	680 {
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	681 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	682 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	683 }
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	684 std::cout << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	685 std::cout << "alphar = " << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	686 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	687 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	688 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	689 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	690 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	691 std::cout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	692 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	693
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	694 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	695
0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	696 F77_INT ndim, fail;
3550 bc492f4a94cb [project @ 2000-02-03 01:36:30 by jwe] jwe parents: 3538 diff changeset	697
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	698 F77_XFCN (dsubsp, DSUBSP,
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	699 (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	700 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	701 ind.fortran_vec ()));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	702
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	703 #if defined (DEBUG)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	704 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	705 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	706 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	707 octave_print_internal (std::cout, bb, 0);
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	708 if (compz == 'V')
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	709 {
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	710 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	711 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	712 }
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	713 std::cout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	714 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	715
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	716 // Manually update alphar, alphai, betar.
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	717 static F77_INT jj;
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	718
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	719 jj = 0;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	720 while (jj < nn)
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	721 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	722 #if defined (DEBUG_EIG)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	723 std::cout << "computing gen eig #" << jj << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	724 #endif
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	725
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	726 // 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	727 static F77_INT zcnt;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	728
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	729 if (jj == (nn-1))
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	730 zcnt = 1;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	731 else if (aa(jj+1,jj) == 0)
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	732 zcnt = 1;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	733 else zcnt = 2;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	734
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	735 if (zcnt == 1)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	736 {
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	737 // Real zero.
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	738 #if defined (DEBUG_EIG)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	739 std::cout << " single gen eig:" << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	740 std::cout << " alphar(" << jj << ") = " << aa(jj,jj)
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	741 << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	742 std::cout << " betar(" << jj << ") = " << bb(jj,jj)
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	743 << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	744 std::cout << " alphai(" << jj << ") = 0" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	745 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	746
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	747 alphar(jj) = aa(jj,jj);
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	748 alphai(jj) = 0;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	749 betar(jj) = bb(jj,jj);
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	750 }
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	751 else
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	752 {
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	753 // Complex conjugate pair.
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	754 #if defined (DEBUG_EIG)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	755 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	756 std::cout << "safmin="
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	757 << setiosflags (std::ios::scientific)
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	758 << safmin << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	759
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	760 for (F77_INT idr = jj; idr <= jj+1; idr++)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	761 {
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	762 for (F77_INT idc = jj; idc <= jj+1; idc++)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	763 {
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	764 std::cout << "aa(" << idr << "," << idc << ")="
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	765 << aa(idr,idc) << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	766 std::cout << "bb(" << idr << "," << idc << ")="
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	767 << bb(idr,idc) << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	768 }
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	769 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	770 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	771
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	772 // FIXME: probably should be using
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	773 // fortran_vec instead of &aa(jj,jj) here.
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	774
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	775 double scale1, scale2, wr1, wr2, wi;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	776 const double aa_ptr = aa.data () + jj nn + jj;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	777 const double bb_ptr = bb.data () + jj nn + jj;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	778 F77_XFCN (dlag2, DLAG2,
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	779 (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	780 scale1, scale2, wr1, wr2, wi));
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	781
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	782 #if defined (DEBUG_EIG)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	783 std::cout << "dlag2 returns: scale1=" << scale1
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	784 << "\tscale2=" << scale2 << std::endl
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	785 << "\twr1=" << wr1 << "\twr2=" << wr2
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	786 << "\twi=" << wi << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	787 #endif
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	788
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	789 // 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	790 if (wi == 0)
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	791 {
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	792 alphar(jj) = wr1;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	793 alphai(jj) = 0;
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	794 betar(jj) = scale1;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	795 alphar(jj+1) = wr2;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	796 alphai(jj+1) = 0;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	797 betar(jj+1) = scale2;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	798 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	799 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	800 {
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	801 alphar(jj) = alphar(jj+1) = wr1;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	802 alphai(jj) = -(alphai(jj+1) = wi);
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	803 betar(jj) = betar(jj+1) = scale1;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	804 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	805 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	806
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	807 // Advance past this block.
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	808 jj += zcnt;
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
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	811 #if defined (DEBUG_SORT)
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	812 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	813 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	814 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	815 octave_print_internal (std::cout, bb, 0);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	816
20831 35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	817 if (compz == 'V')
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	818 {
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	819 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	820 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	821 }
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	822 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	823 << "fail=" << fail << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	824 std::cout << "alphar = " << std::endl;
35241c4b696c eliminate return statements after calls to error John W. Eaton <jwe@octave.org> parents: 20802 diff changeset	825 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	826 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	827 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	828 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	829 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	830 std::cout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	831 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	832 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	833
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	834 // Compute generalized eigenvalues?
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	835 ComplexColumnVector gev;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	836
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	837 if (nargout < 2 \|\| nargout == 7 \|\| (nargin == 3 && nargout == 4))
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	838 {
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	839 if (complex_case)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	840 {
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	841 F77_INT cnt = 0;
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	842
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	843 for (F77_INT ii = 0; ii < nn; ii++)
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	844 cnt++;
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	845
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	846 ComplexColumnVector tmp (cnt);
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	847
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	848 cnt = 0;
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	849 for (F77_INT ii = 0; ii < nn; ii++)
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	850 tmp(cnt++) = xalpha(ii) / xbeta(ii);
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	851
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	852 gev = tmp;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	853 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	854 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	855 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	856 #if defined (DEBUG)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	857 std::cout << "qz: computing generalized eigenvalues" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	858 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	859
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	860 // Return finite generalized eigenvalues.
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	861 F77_INT cnt = 0;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	862
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	863 for (F77_INT ii = 0; ii < nn; ii++)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	864 if (betar(ii) != 0)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	865 cnt++;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	866
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	867 ComplexColumnVector tmp (cnt);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	868
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	869 cnt = 0;
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	870 for (F77_INT ii = 0; ii < nn; ii++)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	871 if (betar(ii) != 0)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	872 tmp(cnt++) = Complex(alphar(ii), alphai(ii))/betar(ii);
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	873
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	874 gev = tmp;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	875 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	876 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	877
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	878 // Right, left eigenvector matrices.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	879 if (nargout >= 5)
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	880 {
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	881 // Which side to compute?
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	882 char side = (nargout == 5 ? 'R' : 'B');
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	883 // Compute all of them and backtransform
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	884 char howmny = 'B';
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	885 // Dummy pointer; select is not used.
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	886 F77_INT *select = 0;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	887
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	888 if (complex_case)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	889 {
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	890 CVL = CQ;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	891 CVR = CZ;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	892 ComplexRowVector cwork2 (2 * nn);
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	893 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	894 F77_INT m;
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	895
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	896 F77_XFCN (ztgevc, ZTGEVC,
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	897 (F77_CONST_CHAR_ARG2 (&side, 1),
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	898 F77_CONST_CHAR_ARG2 (&howmny, 1),
22407 34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22372 diff changeset	899 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	900 F77_DBLE_CMPLX_ARG (cbb.fortran_vec ()),
34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22372 diff changeset	901 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	902 F77_DBLE_CMPLX_ARG (CVR.fortran_vec ()), nn, nn,
22135 407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531) John W. Eaton <jwe@octave.org> parents: 22133 diff changeset	903 m, F77_DBLE_CMPLX_ARG (cwork2.fortran_vec ()), rwork2.fortran_vec (), info
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	904 F77_CHAR_ARG_LEN (1)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11570 diff changeset	905 F77_CHAR_ARG_LEN (1)));
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	906 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	907 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	908 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	909 #if defined (DEBUG)
21562 6c2fd62db1f7 maint: Eliminate accidental double spaces in code. Rik <rik@octave.org> parents: 21301 diff changeset	910 std::cout << "qz: computing generalized eigenvectors" << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	911 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	912
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	913 VL = QQ;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	914 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	915 F77_INT m;
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	916
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	917 F77_XFCN (dtgevc, DTGEVC,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	918 (F77_CONST_CHAR_ARG2 (&side, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	919 F77_CONST_CHAR_ARG2 (&howmny, 1),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	920 select, nn, aa.fortran_vec (), nn, bb.fortran_vec (),
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	921 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	922 m, work.fortran_vec (), info
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	923 F77_CHAR_ARG_LEN (1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	924 F77_CHAR_ARG_LEN (1)));
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	925
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	926 // Now construct the complex form of VV, WW.
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	927 F77_INT jj = 0;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	928
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	929 while (jj < nn)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	930 {
22860 0b1e25cc4457 eliminate use of OCTAVE_QUIT macro in C++ sources John W. Eaton <jwe@octave.org> parents: 22755 diff changeset	931 octave_quit ();
4153 6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4051 diff changeset	932
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	933 // See if real or complex eigenvalue.
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	934
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	935 // Column increment; assume complex eigenvalue.
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	936 int cinc = 2;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	937
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	938 if (jj == (nn-1))
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	939 // Single column.
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	940 cinc = 1;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	941 else if (aa(jj+1,jj) == 0)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	942 cinc = 1;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	943
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	944 // Now copy the eigenvector (s) to CVR, CVL.
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	945 if (cinc == 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	946 {
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	947 for (F77_INT ii = 0; ii < nn; ii++)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	948 CVR(ii,jj) = VR(ii,jj);
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	949
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	950 if (side == 'B')
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	951 for (F77_INT ii = 0; ii < nn; ii++)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	952 CVL(ii,jj) = VL(ii,jj);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	953 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	954 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	955 {
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	956 // Double column; complex vector.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	957
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	958 for (F77_INT ii = 0; ii < nn; ii++)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	959 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	960 CVR(ii,jj) = Complex (VR(ii,jj), VR(ii,jj+1));
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	961 CVR(ii,jj+1) = Complex (VR(ii,jj), -VR(ii,jj+1));
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	962 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	963
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	964 if (side == 'B')
22964 0c12642be005 use F77_INT instead of octave_idx_type for libinterp QZ function John W. Eaton <jwe@octave.org> parents: 22860 diff changeset	965 for (F77_INT ii = 0; ii < nn; ii++)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	966 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	967 CVL(ii,jj) = Complex (VL(ii,jj), VL(ii,jj+1));
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	968 CVL(ii,jj+1) = Complex (VL(ii,jj), -VL(ii,jj+1));
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	969 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	970 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	971
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	972 // Advance to next eigenvectors (if any).
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	973 jj += cinc;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	974 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	975 }
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	976 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	977
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	978 switch (nargout)
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	979 {
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	980 case 7:
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	981 retval(6) = gev;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	982
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	983 case 6:
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	984 // Return eigenvectors.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	985 retval(5) = CVL;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	986
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	987 case 5:
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	988 // Return eigenvectors.
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	989 retval(4) = CVR;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	990
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	991 case 4:
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	992 if (nargin == 3)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	993 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	994 #if defined (DEBUG)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	995 std::cout << "qz: sort: retval(3) = gev = " << std::endl;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	996 octave_print_internal (std::cout, gev);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	997 std::cout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	998 #endif
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	999 retval(3) = gev;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9786 diff changeset	1000 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1001 else
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1002 {
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1003 if (complex_case)
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1004 retval(3) = CZ;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1005 else
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1006 retval(3) = ZZ;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1007 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1008
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1009 case 3:
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1010 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	1011 {
54a386f2ac4e correcly compute Z for 3-output call to qz (bug #36728) John W. Eaton <jwe@octave.org> parents: 14844 diff changeset	1012 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	1013 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	1014 else
54a386f2ac4e correcly compute Z for 3-output call to qz (bug #36728) John W. Eaton <jwe@octave.org> parents: 14844 diff changeset	1015 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	1016 }
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1017 else
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1018 {
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1019 if (complex_case)
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1020 retval(2) = CQ.hermitian ();
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1021 else
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1022 retval(2) = QQ.transpose ();
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1023 }
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1024
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1025 case 2:
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	1026 {
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1027 if (complex_case)
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1028 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	1029 #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	1030 std::cout << "qz: retval(1) = cbb = " << std::endl;
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1031 octave_print_internal (std::cout, cbb, 0);
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1032 std::cout << std::endl << "qz: retval(0) = caa = " <<std::endl;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1033 octave_print_internal (std::cout, caa, 0);
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1034 std::cout << std::endl;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11570 diff changeset	1035 #endif
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1036 retval(1) = cbb;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1037 retval(0) = caa;
a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1038 }
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	1039 else
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	1040 {
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	1041 #if defined (DEBUG)
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	1042 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	1043 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	1044 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	1045 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	1046 std::cout << std::endl;
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1047 #endif
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	1048 retval(1) = bb;
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	1049 retval(0) = aa;
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	1050 }
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11570 diff changeset	1051 }
10311 a217e1d74353 untabify qz.cc John W. Eaton <jwe@octave.org> parents: 10307 diff changeset	1052 break;
10307 4e4270ab70d6 support complex case in qz Jyh-miin Lin <jyhmiinlin@gmail.com> parents: 10155 diff changeset	1053
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1054 case 1:
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1055 case 0:
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	1056 #if defined (DEBUG)
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	1057 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	1058 #endif
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1059 retval(0) = gev;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1060 break;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1061
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1062 default:
11553 01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	1063 error ("qz: too many return arguments");
3185 9580887dd160 [project @ 1998-09-26 02:45:55 by jwe] jwe parents: 3183 diff changeset	1064 break;
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1065 }
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1066
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21562 diff changeset	1067 #if defined (DEBUG)
3538 0ff7323dab8b [project @ 2000-02-02 12:36:25 by jwe] jwe parents: 3531 diff changeset	1068 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	1069 #endif
3183 5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1070
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1071 return retval;
5edc539c2f80 [project @ 1998-09-25 03:37:22 by jwe] jwe parents: diff changeset	1072 }
13074 0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	1073
0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	1074 /*
0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	1075 %!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	1076 %! 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	1077 %! 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	1078 %! 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	1079 %!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	1080 %!assert (isempty (qz (a,c)))
13074 0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	1081
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14360 diff changeset	1082 ## Exaple 7.7.3 in Golub & Van Loan
13074 0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	1083 %!test
0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	1084 %! a = [ 10 1 2;
0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	1085 %! 1 2 -1;
0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	1086 %! 1 1 2];
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14360 diff changeset	1087 %! 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	1088 %! [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	1089 %! sz = length (lambda);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14360 diff changeset	1090 %! 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	1091 %! 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	1092 %! 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	1093 %! 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	1094 %! 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	1095 %! 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	1096
14876 54a386f2ac4e correcly compute Z for 3-output call to qz (bug #36728) John W. Eaton <jwe@octave.org> parents: 14844 diff changeset	1097 %!test
54a386f2ac4e correcly compute Z for 3-output call to qz (bug #36728) John W. Eaton <jwe@octave.org> parents: 14844 diff changeset	1098 %! 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	1099 %! 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	1100 %! [AA, BB, Q, Z1] = qz (A, B);
54a386f2ac4e correcly compute Z for 3-output call to qz (bug #36728) John W. Eaton <jwe@octave.org> parents: 14844 diff changeset	1101 %! [AA, BB, Z2] = qz (A, B, '-');
54a386f2ac4e correcly compute Z for 3-output call to qz (bug #36728) John W. Eaton <jwe@octave.org> parents: 14844 diff changeset	1102 %! assert (Z1, Z2);
13074 0b789a03bde1 codesprint: Add 3 tests for qz.cc Jordi Gutiérrez Hermoso <jordigh@gmail.com> parents: 12642 diff changeset	1103 */
22407 34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22372 diff changeset	1104

Mercurial > octave

annotate libinterp/corefcn/qz.cc @ 22964:0c12642be005