annotate libinterp/corefcn/balance.cc @ 17744:d63878346099

maint: Update copyright notices for release.
author John W. Eaton <jwe@octave.org>
date Wed, 23 Oct 2013 22:09:27 -0400
parents bc924baa2c4e
children 175b392e91fe
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1 /*
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2
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3 Copyright (C) 1996-2013 John W. Eaton
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4 Copyright (C) 2008-2009 Jaroslav Hajek
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5
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6 This file is part of Octave.
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7
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8 Octave is free software; you can redistribute it and/or modify it
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9 under the terms of the GNU General Public License as published by the
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10 Free Software Foundation; either version 3 of the License, or (at your
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11 option) any later version.
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12
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13 Octave is distributed in the hope that it will be useful, but WITHOUT
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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16 for more details.
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17
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18 You should have received a copy of the GNU General Public License
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19 along with Octave; see the file COPYING. If not, see
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20 <http://www.gnu.org/licenses/>.
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21
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22 */
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23
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24 // Author: A. S. Hodel <scotte@eng.auburn.edu>
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25
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26 #ifdef HAVE_CONFIG_H
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27 #include <config.h>
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28 #endif
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29
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30 #include <string>
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31
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32 #include "CmplxAEPBAL.h"
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33 #include "fCmplxAEPBAL.h"
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34 #include "dbleAEPBAL.h"
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35 #include "floatAEPBAL.h"
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36 #include "CmplxGEPBAL.h"
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37 #include "fCmplxGEPBAL.h"
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38 #include "dbleGEPBAL.h"
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39 #include "floatGEPBAL.h"
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40 #include "quit.h"
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41
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42 #include "defun.h"
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43 #include "error.h"
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44 #include "f77-fcn.h"
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45 #include "gripes.h"
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46 #include "oct-obj.h"
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47 #include "utils.h"
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48
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49 DEFUN (balance, args, nargout,
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50 "-*- texinfo -*-\n\
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51 @deftypefn {Built-in Function} {@var{AA} =} balance (@var{A})\n\
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52 @deftypefnx {Built-in Function} {@var{AA} =} balance (@var{A}, @var{opt})\n\
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53 @deftypefnx {Built-in Function} {[@var{DD}, @var{AA}] =} balance (@var{A}, @var{opt})\n\
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54 @deftypefnx {Built-in Function} {[@var{D}, @var{P}, @var{AA}] =} balance (@var{A}, @var{opt})\n\
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55 @deftypefnx {Built-in Function} {[@var{CC}, @var{DD}, @var{AA}, @var{BB}] =} balance (@var{A}, @var{B}, @var{opt})\n\
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56 \n\
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57 Compute @code{@var{AA} = @var{DD} \\ @var{A} * @var{DD}} in which @var{AA}\n\
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58 is a matrix whose row and column norms are roughly equal in magnitude, and\n\
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59 @code{@var{DD} = @var{P} * @var{D}}, in which @var{P} is a permutation\n\
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60 matrix and @var{D} is a diagonal matrix of powers of two. This allows the\n\
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61 equilibration to be computed without round-off. Results of eigenvalue\n\
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62 calculation are typically improved by balancing first.\n\
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63 \n\
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64 If two output values are requested, @code{balance} returns\n\
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65 the diagonal @var{D} and the permutation @var{P} separately as vectors.\n\
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66 In this case, @code{@var{DD} = eye(n)(:,@var{P}) * diag (@var{D})}, where\n\
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67 @math{n} is the matrix size.\n\
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68 \n\
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69 If four output values are requested, compute @code{@var{AA} =\n\
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70 @var{CC}*@var{A}*@var{DD}} and @code{@var{BB} = @var{CC}*@var{B}*@var{DD}},\n\
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71 in which @var{AA} and @var{BB} have non-zero elements of approximately the\n\
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72 same magnitude and @var{CC} and @var{DD} are permuted diagonal matrices as\n\
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73 in @var{DD} for the algebraic eigenvalue problem.\n\
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74 \n\
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75 The eigenvalue balancing option @var{opt} may be one of:\n\
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76 \n\
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77 @table @asis\n\
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78 @item @qcode{\"noperm\"}, @qcode{\"S\"}\n\
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79 Scale only; do not permute.\n\
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80 \n\
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81 @item @qcode{\"noscal\"}, @qcode{\"P\"}\n\
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82 Permute only; do not scale.\n\
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83 @end table\n\
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84 \n\
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85 Algebraic eigenvalue balancing uses standard @sc{lapack} routines.\n\
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86 \n\
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87 Generalized eigenvalue problem balancing uses Ward's algorithm\n\
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88 (SIAM Journal on Scientific and Statistical Computing, 1981).\n\
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89 @end deftypefn")
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90 {
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91 octave_value_list retval;
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92
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93 int nargin = args.length ();
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94
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95 if (nargin < 1 || nargin > 3 || nargout < 0 || nargout > 4)
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96 {
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97 print_usage ();
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98 return retval;
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99 }
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100
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101 // determine if it's AEP or GEP
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102 bool AEPcase = nargin == 1 || args(1).is_string ();
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103
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104 // problem dimension
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105 octave_idx_type nn = args(0).rows ();
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106
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107 if (nn != args(0).columns ())
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108 {
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109 gripe_square_matrix_required ("balance");
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110 return retval;
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111 }
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112
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113 bool isfloat = args(0).is_single_type () ||
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114 (! AEPcase && args(1).is_single_type ());
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115
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116 bool complex_case = (args(0).is_complex_type () ||
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117 (! AEPcase && args(1).is_complex_type ()));
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118
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119 // Extract argument 1 parameter for both AEP and GEP.
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120 Matrix aa;
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121 ComplexMatrix caa;
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122 FloatMatrix faa;
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123 FloatComplexMatrix fcaa;
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124
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125 if (isfloat)
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126 {
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127 if (complex_case)
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128 fcaa = args(0).float_complex_matrix_value ();
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129 else
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130 faa = args(0).float_matrix_value ();
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131 }
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132 else
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133 {
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134 if (complex_case)
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135 caa = args(0).complex_matrix_value ();
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136 else
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137 aa = args(0).matrix_value ();
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138 }
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139
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140 if (error_state)
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe]
jwe
parents: 3181
diff changeset
141 return retval;
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
142
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
143 // Treat AEP/GEP cases.
3185
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe]
jwe
parents: 3181
diff changeset
144 if (AEPcase)
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
145 {
3185
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe]
jwe
parents: 3181
diff changeset
146 // Algebraic eigenvalue problem.
8386
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Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
147 bool noperm = false, noscal = false;
a5e080076778 make balance more Matlab-compatible
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
148 if (nargin > 1)
a5e080076778 make balance more Matlab-compatible
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
149 {
a5e080076778 make balance more Matlab-compatible
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
150 std::string a1s = args(1).string_value ();
a5e080076778 make balance more Matlab-compatible
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
151 noperm = a1s == "noperm" || a1s == "S";
a5e080076778 make balance more Matlab-compatible
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
152 noscal = a1s == "noscal" || a1s == "P";
a5e080076778 make balance more Matlab-compatible
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
153 }
3185
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe]
jwe
parents: 3181
diff changeset
154
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe]
jwe
parents: 3181
diff changeset
155 // balance the AEP
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7482
diff changeset
156 if (isfloat)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
157 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
158 if (complex_case)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
159 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
160 FloatComplexAEPBALANCE result (fcaa, noperm, noscal);
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
161
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
162 if (nargout == 0 || nargout == 1)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
163 retval(0) = result.balanced_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
164 else if (nargout == 2)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
165 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
166 retval(1) = result.balanced_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
167 retval(0) = result.balancing_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
168 }
8386
a5e080076778 make balance more Matlab-compatible
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
169 else
a5e080076778 make balance more Matlab-compatible
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
170 {
a5e080076778 make balance more Matlab-compatible
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
171 retval(2) = result.balanced_matrix ();
14022
de90542b7afc Return retval(1) before retval(0) to avoid re-sizing call on retval.
Rik <octave@nomad.inbox5.com>
parents: 12642
diff changeset
172 retval(1) = result.permuting_vector ();
9048
867d5d1aed06 swap out args in balance for M*b compat
Jaroslav Hajek <highegg@gmail.com>
parents: 8386
diff changeset
173 retval(0) = result.scaling_vector ();
8386
a5e080076778 make balance more Matlab-compatible
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
174 }
a5e080076778 make balance more Matlab-compatible
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
175
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
176 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
177 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
178 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
179 FloatAEPBALANCE result (faa, noperm, noscal);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7482
diff changeset
180
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
181 if (nargout == 0 || nargout == 1)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
182 retval(0) = result.balanced_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
183 else if (nargout == 2)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
184 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
185 retval(1) = result.balanced_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
186 retval(0) = result.balancing_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
187 }
8386
a5e080076778 make balance more Matlab-compatible
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
188 else
a5e080076778 make balance more Matlab-compatible
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
189 {
a5e080076778 make balance more Matlab-compatible
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
190 retval(2) = result.balanced_matrix ();
14022
de90542b7afc Return retval(1) before retval(0) to avoid re-sizing call on retval.
Rik <octave@nomad.inbox5.com>
parents: 12642
diff changeset
191 retval(1) = result.permuting_vector ();
9048
867d5d1aed06 swap out args in balance for M*b compat
Jaroslav Hajek <highegg@gmail.com>
parents: 8386
diff changeset
192 retval(0) = result.scaling_vector ();
8386
a5e080076778 make balance more Matlab-compatible
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
193 }
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
194 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
195 }
3181
3f6a813eb09e [project @ 1998-09-25 02:50:29 by jwe]
jwe
parents: 3179
diff changeset
196 else
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
197 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
198 if (complex_case)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
199 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
200 ComplexAEPBALANCE result (caa, noperm, noscal);
3185
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe]
jwe
parents: 3181
diff changeset
201
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
202 if (nargout == 0 || nargout == 1)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
203 retval(0) = result.balanced_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
204 else if (nargout == 2)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
205 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
206 retval(1) = result.balanced_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
207 retval(0) = result.balancing_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
208 }
8386
a5e080076778 make balance more Matlab-compatible
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
209 else
a5e080076778 make balance more Matlab-compatible
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
210 {
a5e080076778 make balance more Matlab-compatible
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
211 retval(2) = result.balanced_matrix ();
14022
de90542b7afc Return retval(1) before retval(0) to avoid re-sizing call on retval.
Rik <octave@nomad.inbox5.com>
parents: 12642
diff changeset
212 retval(1) = result.permuting_vector ();
9048
867d5d1aed06 swap out args in balance for M*b compat
Jaroslav Hajek <highegg@gmail.com>
parents: 8386
diff changeset
213 retval(0) = result.scaling_vector ();
8386
a5e080076778 make balance more Matlab-compatible
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
214 }
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
215 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
216 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
217 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
218 AEPBALANCE result (aa, noperm, noscal);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7482
diff changeset
219
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
220 if (nargout == 0 || nargout == 1)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
221 retval(0) = result.balanced_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
222 else if (nargout == 2)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
223 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
224 retval(1) = result.balanced_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
225 retval(0) = result.balancing_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
226 }
8386
a5e080076778 make balance more Matlab-compatible
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
227 else
a5e080076778 make balance more Matlab-compatible
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
228 {
a5e080076778 make balance more Matlab-compatible
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
229 retval(2) = result.balanced_matrix ();
14022
de90542b7afc Return retval(1) before retval(0) to avoid re-sizing call on retval.
Rik <octave@nomad.inbox5.com>
parents: 12642
diff changeset
230 retval(1) = result.permuting_vector ();
9048
867d5d1aed06 swap out args in balance for M*b compat
Jaroslav Hajek <highegg@gmail.com>
parents: 8386
diff changeset
231 retval(0) = result.scaling_vector ();
8386
a5e080076778 make balance more Matlab-compatible
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
232 }
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
233 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
234 }
3181
3f6a813eb09e [project @ 1998-09-25 02:50:29 by jwe]
jwe
parents: 3179
diff changeset
235 }
3f6a813eb09e [project @ 1998-09-25 02:50:29 by jwe]
jwe
parents: 3179
diff changeset
236 else
3f6a813eb09e [project @ 1998-09-25 02:50:29 by jwe]
jwe
parents: 3179
diff changeset
237 {
8386
a5e080076778 make balance more Matlab-compatible
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
238 std::string bal_job;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7482
diff changeset
239 if (nargout == 1)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
240 warning ("balance: used GEP, should have two output arguments");
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7482
diff changeset
241
3185
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe]
jwe
parents: 3181
diff changeset
242 // Generalized eigenvalue problem.
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe]
jwe
parents: 3181
diff changeset
243 if (nargin == 2)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
244 bal_job = "B";
3185
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe]
jwe
parents: 3181
diff changeset
245 else if (args(2).is_string ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
246 bal_job = args(2).string_value ();
3185
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe]
jwe
parents: 3181
diff changeset
247 else
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
248 {
11553
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
249 error ("balance: OPT argument must be a string");
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
250 return retval;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
251 }
3185
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe]
jwe
parents: 3181
diff changeset
252
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe]
jwe
parents: 3181
diff changeset
253 if ((nn != args(1).columns ()) || (nn != args(1).rows ()))
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
254 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
255 gripe_nonconformant ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
256 return retval;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
257 }
3185
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe]
jwe
parents: 3181
diff changeset
258
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe]
jwe
parents: 3181
diff changeset
259 Matrix bb;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe]
jwe
parents: 3181
diff changeset
260 ComplexMatrix cbb;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7482
diff changeset
261 FloatMatrix fbb;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7482
diff changeset
262 FloatComplexMatrix fcbb;
3185
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe]
jwe
parents: 3181
diff changeset
263
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7482
diff changeset
264 if (isfloat)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
265 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
266 if (complex_case)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
267 fcbb = args(1).float_complex_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
268 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
269 fbb = args(1).float_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
270 }
3185
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe]
jwe
parents: 3181
diff changeset
271 else
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
272 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
273 if (complex_case)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
274 cbb = args(1).complex_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
275 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
276 bb = args(1).matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
277 }
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 3911
diff changeset
278
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7482
diff changeset
279 // balance the GEP
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7482
diff changeset
280 if (isfloat)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
281 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
282 if (complex_case)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
283 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
284 FloatComplexGEPBALANCE result (fcaa, fcbb, bal_job);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7482
diff changeset
285
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
286 switch (nargout)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
287 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
288 case 4:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
289 retval(3) = result.balanced_matrix2 ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
290 // fall through
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
291 case 3:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
292 retval(2) = result.balanced_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
293 retval(1) = result.balancing_matrix2 ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
294 retval(0) = result.balancing_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
295 break;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
296 case 2:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
297 retval(1) = result.balancing_matrix2 ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
298 // fall through
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
299 case 1:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
300 retval(0) = result.balancing_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
301 break;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
302 default:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
303 error ("balance: invalid number of output arguments");
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
304 break;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
305 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
306 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
307 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
308 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
309 FloatGEPBALANCE result (faa, fbb, bal_job);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7482
diff changeset
310
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
311 switch (nargout)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
312 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
313 case 4:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
314 retval(3) = result.balanced_matrix2 ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
315 // fall through
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
316 case 3:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
317 retval(2) = result.balanced_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
318 retval(1) = result.balancing_matrix2 ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
319 retval(0) = result.balancing_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
320 break;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
321 case 2:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
322 retval(1) = result.balancing_matrix2 ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
323 // fall through
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
324 case 1:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
325 retval(0) = result.balancing_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
326 break;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
327 default:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
328 error ("balance: invalid number of output arguments");
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
329 break;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
330 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
331 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
332 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7482
diff changeset
333 else
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
334 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
335 if (complex_case)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
336 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
337 ComplexGEPBALANCE result (caa, cbb, bal_job);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7482
diff changeset
338
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
339 switch (nargout)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
340 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
341 case 4:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
342 retval(3) = result.balanced_matrix2 ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
343 // fall through
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
344 case 3:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
345 retval(2) = result.balanced_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
346 retval(1) = result.balancing_matrix2 ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
347 retval(0) = result.balancing_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
348 break;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
349 case 2:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
350 retval(1) = result.balancing_matrix2 ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
351 // fall through
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
352 case 1:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
353 retval(0) = result.balancing_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
354 break;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
355 default:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
356 error ("balance: invalid number of output arguments");
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
357 break;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
358 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
359 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
360 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
361 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
362 GEPBALANCE result (aa, bb, bal_job);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7482
diff changeset
363
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
364 switch (nargout)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
365 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
366 case 4:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
367 retval(3) = result.balanced_matrix2 ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
368 // fall through
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
369 case 3:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
370 retval(2) = result.balanced_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
371 retval(1) = result.balancing_matrix2 ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
372 retval(0) = result.balancing_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
373 break;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
374 case 2:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
375 retval(1) = result.balancing_matrix2 ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
376 // fall through
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
377 case 1:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
378 retval(0) = result.balancing_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
379 break;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
380 default:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
381 error ("balance: invalid number of output arguments");
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
382 break;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
383 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
384 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
385 }
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
386 }
3185
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe]
jwe
parents: 3181
diff changeset
387
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
388 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
389 }