annotate libinterp/corefcn/balance.cc @ 30564:796f54d4ddbf stable

update Octave Project Developers copyright for the new year In files that have the "Octave Project Developers" copyright notice, update for 2021. In all .txi and .texi files except gpl.txi and gpl.texi in the doc/liboctave and doc/interpreter directories, change the copyright to "Octave Project Developers", the same as used for other source files. Update copyright notices for 2022 (not done since 2019). For gpl.txi and gpl.texi, change the copyright notice to be "Free Software Foundation, Inc." and leave the date at 2007 only because this file only contains the text of the GPL, not anything created by the Octave Project Developers. Add Paul Thomas to contributors.in.
author John W. Eaton <jwe@octave.org>
date Tue, 28 Dec 2021 18:22:40 -0500
parents 7d6709900da7
children e88a07dec498
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1 ////////////////////////////////////////////////////////////////////////
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2 //
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3 // Copyright (C) 1996-2022 The Octave Project Developers
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4 //
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5 // See the file COPYRIGHT.md in the top-level directory of this
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6 // distribution or <https://octave.org/copyright/>.
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7 //
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8 // This file is part of Octave.
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9 //
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10 // Octave is free software: you can redistribute it and/or modify it
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11 // under the terms of the GNU General Public License as published by
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12 // the Free Software Foundation, either version 3 of the License, or
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13 // (at your option) any later version.
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14 //
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15 // Octave is distributed in the hope that it will be useful, but
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16 // WITHOUT ANY WARRANTY; without even the implied warranty of
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17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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18 // GNU General Public License for more details.
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19 //
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20 // You should have received a copy of the GNU General Public License
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21 // along with Octave; see the file COPYING. If not, see
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22 // <https://www.gnu.org/licenses/>.
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23 //
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24 ////////////////////////////////////////////////////////////////////////
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25
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26 #if defined (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 "CMatrix.h"
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33 #include "aepbalance.h"
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34 #include "dMatrix.h"
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35 #include "fCMatrix.h"
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36 #include "fMatrix.h"
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37 #include "gepbalance.h"
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38 #include "quit.h"
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39
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40 #include "defun.h"
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41 #include "error.h"
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42 #include "f77-fcn.h"
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43 #include "errwarn.h"
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44 #include "ovl.h"
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45 #include "utils.h"
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46
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47 OCTAVE_NAMESPACE_BEGIN
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48
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49 DEFUN (balance, args, nargout,
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50 doc: /* -*- texinfo -*-
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51 @deftypefn {} {@var{AA} =} balance (@var{A})
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52 @deftypefnx {} {@var{AA} =} balance (@var{A}, @var{opt})
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53 @deftypefnx {} {[@var{DD}, @var{AA}] =} balance (@var{A}, @var{opt})
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54 @deftypefnx {} {[@var{D}, @var{P}, @var{AA}] =} balance (@var{A}, @var{opt})
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55 @deftypefnx {} {[@var{CC}, @var{DD}, @var{AA}, @var{BB}] =} balance (@var{A}, @var{B}, @var{opt})
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56
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57 Balance the matrix @var{A} to reduce numerical errors in future
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58 calculations.
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59
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60 Compute @code{@var{AA} = @var{DD} \ @var{A} * @var{DD}} in which @var{AA}
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61 is a matrix whose row and column norms are roughly equal in magnitude, and
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62 @code{@var{DD} = @var{P} * @var{D}}, in which @var{P} is a permutation
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63 matrix and @var{D} is a diagonal matrix of powers of two. This allows the
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64 equilibration to be computed without round-off. Results of eigenvalue
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65 calculation are typically improved by balancing first.
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66
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67 If two output values are requested, @code{balance} returns
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68 the diagonal @var{D} and the permutation @var{P} separately as vectors.
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69 In this case, @code{@var{DD} = eye(n)(:,@var{P}) * diag (@var{D})}, where
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70 @math{n} is the matrix size.
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71
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72 If four output values are requested, compute @code{@var{AA} =
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73 @var{CC}*@var{A}*@var{DD}} and @code{@var{BB} = @var{CC}*@var{B}*@var{DD}},
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74 in which @var{AA} and @var{BB} have nonzero elements of approximately the
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75 same magnitude and @var{CC} and @var{DD} are permuted diagonal matrices as
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76 in @var{DD} for the algebraic eigenvalue problem.
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77
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78 The eigenvalue balancing option @var{opt} may be one of:
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79
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80 @table @asis
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81 @item @qcode{"noperm"}, @qcode{"S"}
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82 Scale only; do not permute.
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83
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84 @item @qcode{"noscal"}, @qcode{"P"}
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85 Permute only; do not scale.
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86 @end table
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87
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88 Algebraic eigenvalue balancing uses standard @sc{lapack} routines.
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89
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90 Generalized eigenvalue problem balancing uses Ward's algorithm
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91 (SIAM Journal on Scientific and Statistical Computing, 1981).
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92 @end deftypefn */)
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93 {
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94 int nargin = args.length ();
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95
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96 if (nargin < 1 || nargin > 3 || nargout < 0)
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97 print_usage ();
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98
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99 octave_value_list retval;
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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 err_square_matrix_required ("balance", "A");
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109
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110 bool isfloat = args(0).is_single_type ()
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111 || (! AEPcase && args(1).is_single_type ());
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112
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113 bool complex_case = args(0).iscomplex ()
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114 || (! AEPcase && args(1).iscomplex ());
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115
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116 // Extract argument 1 parameter for both AEP and GEP.
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117 Matrix aa;
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118 ComplexMatrix caa;
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119 FloatMatrix faa;
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120 FloatComplexMatrix fcaa;
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121
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122 if (isfloat)
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123 {
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124 if (complex_case)
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125 fcaa = args(0).float_complex_matrix_value ();
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126 else
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127 faa = args(0).float_matrix_value ();
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128 }
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129 else
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130 {
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131 if (complex_case)
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132 caa = args(0).complex_matrix_value ();
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133 else
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134 aa = args(0).matrix_value ();
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135 }
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136
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137 // Treat AEP/GEP cases.
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diff changeset
138 if (AEPcase)
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diff changeset
139 {
3185
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140 // Algebraic eigenvalue problem.
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Rik <rik@octave.org>
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diff changeset
141 bool noperm = false;
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Rik <rik@octave.org>
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diff changeset
142 bool noscal = false;
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143 if (nargin > 1)
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144 {
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145 std::string a1s = args(1).string_value ();
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146 noperm = a1s == "noperm" || a1s == "S";
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147 noscal = a1s == "noscal" || a1s == "P";
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148 }
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149
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150 // balance the AEP
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151 if (isfloat)
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152 {
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153 if (complex_case)
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154 {
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155 math::aepbalance<FloatComplexMatrix> result (fcaa, noperm, noscal);
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156
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157 if (nargout == 0 || nargout == 1)
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diff changeset
158 retval = ovl (result.balanced_matrix ());
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159 else if (nargout == 2)
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160 retval = ovl (result.balancing_matrix (),
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161 result.balanced_matrix ());
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162 else
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163 retval = ovl (result.scaling_vector (),
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164 result.permuting_vector (),
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165 result.balanced_matrix ());
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166 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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167 else
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168 {
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169 math::aepbalance<FloatMatrix> result (faa, noperm, noscal);
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170
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171 if (nargout == 0 || nargout == 1)
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172 retval = ovl (result.balanced_matrix ());
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173 else if (nargout == 2)
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174 retval = ovl (result.balancing_matrix (),
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175 result.balanced_matrix ());
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176 else
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177 retval = ovl (result.scaling_vector (),
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178 result.permuting_vector (),
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179 result.balanced_matrix ());
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180 }
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181 }
3181
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parents: 3179
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182 else
10154
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183 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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184 if (complex_case)
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185 {
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186 math::aepbalance<ComplexMatrix> result (caa, noperm, noscal);
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187
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188 if (nargout == 0 || nargout == 1)
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diff changeset
189 retval = ovl (result.balanced_matrix ());
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190 else if (nargout == 2)
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191 retval = ovl (result.balancing_matrix (),
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192 result.balanced_matrix ());
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193 else
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194 retval = ovl (result.scaling_vector (),
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195 result.permuting_vector (),
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196 result.balanced_matrix ());
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197 }
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198 else
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199 {
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200 math::aepbalance<Matrix> result (aa, noperm, noscal);
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201
10154
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202 if (nargout == 0 || nargout == 1)
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diff changeset
203 retval = ovl (result.balanced_matrix ());
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204 else if (nargout == 2)
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205 retval = ovl (result.balancing_matrix (),
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diff changeset
206 result.balanced_matrix ());
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207 else
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208 retval = ovl (result.scaling_vector (),
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diff changeset
209 result.permuting_vector (),
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diff changeset
210 result.balanced_matrix ());
10154
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diff changeset
211 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
212 }
3181
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parents: 3179
diff changeset
213 }
3f6a813eb09e [project @ 1998-09-25 02:50:29 by jwe]
jwe
parents: 3179
diff changeset
214 else
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jwe
parents: 3179
diff changeset
215 {
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216 std::string bal_job;
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217 if (nargout == 1)
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218 warning ("balance: used GEP, should have two output arguments");
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diff changeset
219
3185
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220 // Generalized eigenvalue problem.
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe]
jwe
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diff changeset
221 if (nargin == 2)
23807
336f89b6208b Use character literals 'c' rather than string literals "c" when possible.
Rik <rik@octave.org>
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diff changeset
222 bal_job = 'B';
3185
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diff changeset
223 else
20700
68e3a747ca02 rename octave_value value extractors that accept error message args
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diff changeset
224 bal_job = args(2).xstring_value ("balance: OPT argument must be a string");
3185
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diff changeset
225
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe]
jwe
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diff changeset
226 if ((nn != args(1).columns ()) || (nn != args(1).rows ()))
29958
32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace
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diff changeset
227 ::err_nonconformant ();
3185
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diff changeset
228
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe]
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diff changeset
229 Matrix bb;
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe]
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diff changeset
230 ComplexMatrix cbb;
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diff changeset
231 FloatMatrix fbb;
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diff changeset
232 FloatComplexMatrix fcbb;
3185
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diff changeset
233
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diff changeset
234 if (isfloat)
10154
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diff changeset
235 {
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diff changeset
236 if (complex_case)
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237 fcbb = args(1).float_complex_matrix_value ();
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diff changeset
238 else
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diff changeset
239 fbb = args(1).float_matrix_value ();
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diff changeset
240 }
3185
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diff changeset
241 else
10154
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diff changeset
242 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
243 if (complex_case)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
244 cbb = args(1).complex_matrix_value ();
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diff changeset
245 else
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246 bb = args(1).matrix_value ();
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247 }
4153
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diff changeset
248
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diff changeset
249 // balance the GEP
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250 if (isfloat)
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251 {
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252 if (complex_case)
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253 {
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diff changeset
254 math::gepbalance<FloatComplexMatrix> result (fcaa, fcbb, bal_job);
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diff changeset
255
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256 switch (nargout)
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257 {
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258 case 4:
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259 retval(3) = result.balanced_matrix2 ();
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260 OCTAVE_FALLTHROUGH;
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261
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262 case 3:
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263 retval(2) = result.balanced_matrix ();
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264 retval(1) = result.balancing_matrix2 ();
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265 retval(0) = result.balancing_matrix ();
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266 break;
23826
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267
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268 case 2:
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269 retval(1) = result.balancing_matrix2 ();
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270 OCTAVE_FALLTHROUGH;
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271
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272 case 1:
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273 retval(0) = result.balancing_matrix ();
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diff changeset
274 break;
23826
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diff changeset
275
10154
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diff changeset
276 default:
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diff changeset
277 error ("balance: invalid number of output arguments");
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diff changeset
278 break;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
279 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
280 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
281 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
282 {
29961
7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more
John W. Eaton <jwe@octave.org>
parents: 29958
diff changeset
283 math::gepbalance<FloatMatrix> result (faa, fbb, bal_job);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7482
diff changeset
284
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
285 switch (nargout)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
286 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
287 case 4:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
288 retval(3) = result.balanced_matrix2 ();
23826
d69021d58a61 avoid fallthrough warnings
John W. Eaton <jwe@octave.org>
parents: 23807
diff changeset
289 OCTAVE_FALLTHROUGH;
d69021d58a61 avoid fallthrough warnings
John W. Eaton <jwe@octave.org>
parents: 23807
diff changeset
290
10154
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;
23826
d69021d58a61 avoid fallthrough warnings
John W. Eaton <jwe@octave.org>
parents: 23807
diff changeset
296
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
297 case 2:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
298 retval(1) = result.balancing_matrix2 ();
23826
d69021d58a61 avoid fallthrough warnings
John W. Eaton <jwe@octave.org>
parents: 23807
diff changeset
299 OCTAVE_FALLTHROUGH;
d69021d58a61 avoid fallthrough warnings
John W. Eaton <jwe@octave.org>
parents: 23807
diff changeset
300
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
301 case 1:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
302 retval(0) = result.balancing_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
303 break;
23826
d69021d58a61 avoid fallthrough warnings
John W. Eaton <jwe@octave.org>
parents: 23807
diff changeset
304
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
305 default:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
306 error ("balance: invalid number of output arguments");
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
307 break;
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 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
310 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7482
diff changeset
311 else
10154
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 if (complex_case)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
314 {
29961
7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more
John W. Eaton <jwe@octave.org>
parents: 29958
diff changeset
315 math::gepbalance<ComplexMatrix> result (caa, cbb, bal_job);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7482
diff changeset
316
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
317 switch (nargout)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
318 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
319 case 4:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
320 retval(3) = result.balanced_matrix2 ();
23826
d69021d58a61 avoid fallthrough warnings
John W. Eaton <jwe@octave.org>
parents: 23807
diff changeset
321 OCTAVE_FALLTHROUGH;
d69021d58a61 avoid fallthrough warnings
John W. Eaton <jwe@octave.org>
parents: 23807
diff changeset
322
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
323 case 3:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
324 retval(2) = result.balanced_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
325 retval(1) = result.balancing_matrix2 ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
326 retval(0) = result.balancing_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
327 break;
23826
d69021d58a61 avoid fallthrough warnings
John W. Eaton <jwe@octave.org>
parents: 23807
diff changeset
328
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
329 case 2:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
330 retval(1) = result.balancing_matrix2 ();
23826
d69021d58a61 avoid fallthrough warnings
John W. Eaton <jwe@octave.org>
parents: 23807
diff changeset
331 OCTAVE_FALLTHROUGH;
d69021d58a61 avoid fallthrough warnings
John W. Eaton <jwe@octave.org>
parents: 23807
diff changeset
332
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
333 case 1:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
334 retval(0) = result.balancing_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
335 break;
23826
d69021d58a61 avoid fallthrough warnings
John W. Eaton <jwe@octave.org>
parents: 23807
diff changeset
336
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
337 default:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
338 error ("balance: invalid number of output arguments");
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
339 break;
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 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
342 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
343 {
29961
7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more
John W. Eaton <jwe@octave.org>
parents: 29958
diff changeset
344 math::gepbalance<Matrix> result (aa, bb, bal_job);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7482
diff changeset
345
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
346 switch (nargout)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
347 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
348 case 4:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
349 retval(3) = result.balanced_matrix2 ();
23826
d69021d58a61 avoid fallthrough warnings
John W. Eaton <jwe@octave.org>
parents: 23807
diff changeset
350 OCTAVE_FALLTHROUGH;
d69021d58a61 avoid fallthrough warnings
John W. Eaton <jwe@octave.org>
parents: 23807
diff changeset
351
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
352 case 3:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
353 retval(2) = result.balanced_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
354 retval(1) = result.balancing_matrix2 ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
355 retval(0) = result.balancing_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
356 break;
23826
d69021d58a61 avoid fallthrough warnings
John W. Eaton <jwe@octave.org>
parents: 23807
diff changeset
357
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
358 case 2:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
359 retval(1) = result.balancing_matrix2 ();
23826
d69021d58a61 avoid fallthrough warnings
John W. Eaton <jwe@octave.org>
parents: 23807
diff changeset
360 OCTAVE_FALLTHROUGH;
d69021d58a61 avoid fallthrough warnings
John W. Eaton <jwe@octave.org>
parents: 23807
diff changeset
361
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
362 case 1:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
363 retval(0) = result.balancing_matrix ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
364 break;
23826
d69021d58a61 avoid fallthrough warnings
John W. Eaton <jwe@octave.org>
parents: 23807
diff changeset
365
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
366 default:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
367 error ("balance: invalid number of output arguments");
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
368 break;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
369 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
370 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9821
diff changeset
371 }
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
372 }
3185
9580887dd160 [project @ 1998-09-26 02:45:55 by jwe]
jwe
parents: 3181
diff changeset
373
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
374 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
375 }
29958
32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 29358
diff changeset
376
32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 29358
diff changeset
377 OCTAVE_NAMESPACE_END