Mercurial > octave
annotate libinterp/corefcn/balance.cc @ 18100:6a71e5030df5
Follow coding convention of defining and initializing only 1 variable per line in liboctinterp.
* libinterp/corefcn/balance.cc, libinterp/corefcn/bsxfun.cc,
libinterp/corefcn/cellfun.cc, libinterp/corefcn/data.cc,
libinterp/corefcn/dlmread.cc, libinterp/corefcn/dot.cc,
libinterp/corefcn/eig.cc, libinterp/corefcn/find.cc, libinterp/corefcn/gcd.cc,
libinterp/corefcn/gl-render.cc, libinterp/corefcn/gl2ps-renderer.cc,
libinterp/corefcn/graphics.cc, libinterp/corefcn/kron.cc,
libinterp/corefcn/load-save.cc, libinterp/corefcn/lookup.cc,
libinterp/corefcn/ls-hdf5.cc, libinterp/corefcn/ls-mat5.cc,
libinterp/corefcn/lu.cc, libinterp/corefcn/max.cc,
libinterp/corefcn/oct-map.cc, libinterp/corefcn/oct-obj.cc,
libinterp/corefcn/oct-stream.cc, libinterp/corefcn/sparse.cc,
libinterp/corefcn/sqrtm.cc, libinterp/corefcn/str2double.cc,
libinterp/corefcn/strfind.cc, libinterp/corefcn/strfns.cc,
libinterp/corefcn/tril.cc, libinterp/corefcn/txt-eng-ft.cc,
libinterp/corefcn/variables.cc, libinterp/corefcn/xdiv.cc,
libinterp/dldfcn/__delaunayn__.cc, libinterp/dldfcn/qr.cc,
libinterp/dldfcn/symrcm.cc, libinterp/dldfcn/tsearch.cc,
libinterp/octave-value/ov-base-diag.cc, libinterp/octave-value/ov-base-int.cc,
libinterp/octave-value/ov-base-mat.cc, libinterp/octave-value/ov-bool-mat.cc,
libinterp/octave-value/ov-bool-sparse.cc, libinterp/octave-value/ov-bool.cc,
libinterp/octave-value/ov-cell.cc, libinterp/octave-value/ov-class.cc,
libinterp/octave-value/ov-complex.cc, libinterp/octave-value/ov-cx-diag.cc,
libinterp/octave-value/ov-cx-mat.cc, libinterp/octave-value/ov-cx-sparse.cc,
libinterp/octave-value/ov-fcn-handle.cc,
libinterp/octave-value/ov-fcn-inline.cc, libinterp/octave-value/ov-float.cc,
libinterp/octave-value/ov-flt-complex.cc,
libinterp/octave-value/ov-flt-cx-diag.cc,
libinterp/octave-value/ov-flt-cx-mat.cc,
libinterp/octave-value/ov-flt-re-diag.cc,
libinterp/octave-value/ov-flt-re-mat.cc, libinterp/octave-value/ov-java.cc,
libinterp/octave-value/ov-range.cc, libinterp/octave-value/ov-re-diag.cc,
libinterp/octave-value/ov-re-mat.cc, libinterp/octave-value/ov-re-sparse.cc,
libinterp/octave-value/ov-scalar.cc, libinterp/octave-value/ov-str-mat.cc,
libinterp/octave-value/ov-usr-fcn.cc, libinterp/parse-tree/pt-cbinop.cc,
libinterp/parse-tree/pt-eval.cc, libinterp/parse-tree/pt-mat.cc:
Follow coding convention of defining and initializing only 1 variable per line
in liboctinterp.
author | Rik <rik@octave.org> |
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date | Thu, 05 Dec 2013 10:50:17 -0800 |
parents | 175b392e91fe |
children | 9ac2357f19bc |
rev | line source |
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2928 | 1 /* |
2 | |
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3 Copyright (C) 1996-2013 John W. Eaton |
11523 | 4 Copyright (C) 2008-2009 Jaroslav Hajek |
2928 | 5 |
6 This file is part of Octave. | |
7 | |
8 Octave is free software; you can redistribute it and/or modify it | |
9 under the terms of the GNU General Public License as published by the | |
7016 | 10 Free Software Foundation; either version 3 of the License, or (at your |
11 option) any later version. | |
2928 | 12 |
13 Octave is distributed in the hope that it will be useful, but WITHOUT | |
14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
16 for more details. | |
17 | |
18 You should have received a copy of the GNU General Public License | |
7016 | 19 along with Octave; see the file COPYING. If not, see |
20 <http://www.gnu.org/licenses/>. | |
2928 | 21 |
22 */ | |
23 | |
3911 | 24 // Author: A. S. Hodel <scotte@eng.auburn.edu> |
2928 | 25 |
26 #ifdef HAVE_CONFIG_H | |
27 #include <config.h> | |
28 #endif | |
29 | |
30 #include <string> | |
31 | |
32 #include "CmplxAEPBAL.h" | |
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33 #include "fCmplxAEPBAL.h" |
2928 | 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" |
4153 | 40 #include "quit.h" |
2928 | 41 |
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42 #include "defun.h" |
2928 | 43 #include "error.h" |
3181 | 44 #include "f77-fcn.h" |
2928 | 45 #include "gripes.h" |
46 #include "oct-obj.h" | |
47 #include "utils.h" | |
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\ |
2928 | 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\ |
2928 | 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\ |
3372 | 74 \n\ |
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75 The eigenvalue balancing option @var{opt} may be one of:\n\ |
2928 | 76 \n\ |
3372 | 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\ |
3372 | 80 \n\ |
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81 @item @qcode{\"noscal\"}, @qcode{\"P\"}\n\ |
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82 Permute only; do not scale.\n\ |
3372 | 83 @end table\n\ |
2928 | 84 \n\ |
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85 Algebraic eigenvalue balancing uses standard @sc{lapack} routines.\n\ |
3372 | 86 \n\ |
87 Generalized eigenvalue problem balancing uses Ward's algorithm\n\ | |
88 (SIAM Journal on Scientific and Statistical Computing, 1981).\n\ | |
89 @end deftypefn") | |
2928 | 90 { |
91 octave_value_list retval; | |
92 | |
93 int nargin = args.length (); | |
94 | |
95 if (nargin < 1 || nargin > 3 || nargout < 0 || nargout > 4) | |
96 { | |
5823 | 97 print_usage (); |
2928 | 98 return retval; |
99 } | |
100 | |
3181 | 101 // determine if it's AEP or GEP |
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102 bool AEPcase = nargin == 1 || args(1).is_string (); |
2928 | 103 |
3181 | 104 // problem dimension |
5275 | 105 octave_idx_type nn = args(0).rows (); |
2928 | 106 |
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107 if (nn != args(0).columns ()) |
3185 | 108 { |
109 gripe_square_matrix_required ("balance"); | |
110 return retval; | |
111 } | |
2928 | 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 |
2928 | 119 // Extract argument 1 parameter for both AEP and GEP. |
120 Matrix aa; | |
121 ComplexMatrix caa; | |
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122 FloatMatrix faa; |
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123 FloatComplexMatrix fcaa; |
3185 | 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 } |
3185 | 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 } |
3185 | 139 |
140 if (error_state) | |
141 return retval; | |
2928 | 142 |
143 // Treat AEP/GEP cases. | |
3185 | 144 if (AEPcase) |
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145 { |
3185 | 146 // Algebraic eigenvalue problem. |
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147 bool noperm = false; |
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148 bool noscal = false; |
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149 if (nargin > 1) |
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150 { |
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151 std::string a1s = args(1).string_value (); |
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152 noperm = a1s == "noperm" || a1s == "S"; |
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153 noscal = a1s == "noscal" || a1s == "P"; |
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154 } |
3185 | 155 |
156 // balance the AEP | |
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157 if (isfloat) |
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158 { |
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159 if (complex_case) |
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160 { |
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161 FloatComplexAEPBALANCE result (fcaa, noperm, noscal); |
2928 | 162 |
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163 if (nargout == 0 || nargout == 1) |
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164 retval(0) = result.balanced_matrix (); |
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165 else if (nargout == 2) |
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166 { |
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167 retval(1) = result.balanced_matrix (); |
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168 retval(0) = result.balancing_matrix (); |
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169 } |
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170 else |
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171 { |
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172 retval(2) = result.balanced_matrix (); |
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173 retval(1) = result.permuting_vector (); |
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174 retval(0) = result.scaling_vector (); |
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175 } |
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176 |
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177 } |
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178 else |
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179 { |
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180 FloatAEPBALANCE result (faa, noperm, noscal); |
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181 |
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182 if (nargout == 0 || nargout == 1) |
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183 retval(0) = result.balanced_matrix (); |
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184 else if (nargout == 2) |
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185 { |
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186 retval(1) = result.balanced_matrix (); |
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187 retval(0) = result.balancing_matrix (); |
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188 } |
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189 else |
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190 { |
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191 retval(2) = result.balanced_matrix (); |
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192 retval(1) = result.permuting_vector (); |
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193 retval(0) = result.scaling_vector (); |
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194 } |
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195 } |
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196 } |
3181 | 197 else |
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198 { |
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199 if (complex_case) |
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200 { |
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201 ComplexAEPBALANCE result (caa, noperm, noscal); |
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203 if (nargout == 0 || nargout == 1) |
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204 retval(0) = result.balanced_matrix (); |
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205 else if (nargout == 2) |
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206 { |
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207 retval(1) = result.balanced_matrix (); |
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208 retval(0) = result.balancing_matrix (); |
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209 } |
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210 else |
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211 { |
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212 retval(2) = result.balanced_matrix (); |
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213 retval(1) = result.permuting_vector (); |
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214 retval(0) = result.scaling_vector (); |
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215 } |
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216 } |
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217 else |
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218 { |
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219 AEPBALANCE result (aa, noperm, noscal); |
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220 |
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221 if (nargout == 0 || nargout == 1) |
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222 retval(0) = result.balanced_matrix (); |
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223 else if (nargout == 2) |
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224 { |
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225 retval(1) = result.balanced_matrix (); |
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226 retval(0) = result.balancing_matrix (); |
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227 } |
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228 else |
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229 { |
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230 retval(2) = result.balanced_matrix (); |
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231 retval(1) = result.permuting_vector (); |
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232 retval(0) = result.scaling_vector (); |
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233 } |
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234 } |
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235 } |
3181 | 236 } |
237 else | |
238 { | |
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239 std::string bal_job; |
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240 if (nargout == 1) |
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241 warning ("balance: used GEP, should have two output arguments"); |
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242 |
3185 | 243 // Generalized eigenvalue problem. |
244 if (nargin == 2) | |
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245 bal_job = "B"; |
3185 | 246 else if (args(2).is_string ()) |
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247 bal_job = args(2).string_value (); |
3185 | 248 else |
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249 { |
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250 error ("balance: OPT argument must be a string"); |
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251 return retval; |
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252 } |
3185 | 253 |
254 if ((nn != args(1).columns ()) || (nn != args(1).rows ())) | |
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255 { |
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256 gripe_nonconformant (); |
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257 return retval; |
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258 } |
3185 | 259 |
260 Matrix bb; | |
261 ComplexMatrix cbb; | |
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262 FloatMatrix fbb; |
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263 FloatComplexMatrix fcbb; |
3185 | 264 |
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265 if (isfloat) |
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266 { |
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267 if (complex_case) |
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268 fcbb = args(1).float_complex_matrix_value (); |
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269 else |
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270 fbb = args(1).float_matrix_value (); |
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271 } |
3185 | 272 else |
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273 { |
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274 if (complex_case) |
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275 cbb = args(1).complex_matrix_value (); |
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276 else |
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277 bb = args(1).matrix_value (); |
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278 } |
4153 | 279 |
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280 // balance the GEP |
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281 if (isfloat) |
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282 { |
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283 if (complex_case) |
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284 { |
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285 FloatComplexGEPBALANCE result (fcaa, fcbb, bal_job); |
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286 |
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287 switch (nargout) |
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288 { |
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289 case 4: |
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290 retval(3) = result.balanced_matrix2 (); |
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291 // fall through |
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292 case 3: |
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293 retval(2) = result.balanced_matrix (); |
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294 retval(1) = result.balancing_matrix2 (); |
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295 retval(0) = result.balancing_matrix (); |
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296 break; |
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297 case 2: |
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298 retval(1) = result.balancing_matrix2 (); |
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299 // fall through |
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300 case 1: |
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301 retval(0) = result.balancing_matrix (); |
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302 break; |
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303 default: |
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304 error ("balance: invalid number of output arguments"); |
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305 break; |
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306 } |
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307 } |
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308 else |
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309 { |
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310 FloatGEPBALANCE result (faa, fbb, bal_job); |
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311 |
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312 switch (nargout) |
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313 { |
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314 case 4: |
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315 retval(3) = result.balanced_matrix2 (); |
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316 // fall through |
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317 case 3: |
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318 retval(2) = result.balanced_matrix (); |
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319 retval(1) = result.balancing_matrix2 (); |
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320 retval(0) = result.balancing_matrix (); |
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321 break; |
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322 case 2: |
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323 retval(1) = result.balancing_matrix2 (); |
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324 // fall through |
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325 case 1: |
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326 retval(0) = result.balancing_matrix (); |
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327 break; |
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328 default: |
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329 error ("balance: invalid number of output arguments"); |
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330 break; |
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331 } |
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332 } |
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333 } |
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334 else |
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335 { |
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336 if (complex_case) |
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337 { |
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338 ComplexGEPBALANCE result (caa, cbb, bal_job); |
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339 |
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340 switch (nargout) |
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341 { |
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342 case 4: |
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343 retval(3) = result.balanced_matrix2 (); |
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344 // fall through |
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345 case 3: |
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346 retval(2) = result.balanced_matrix (); |
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347 retval(1) = result.balancing_matrix2 (); |
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348 retval(0) = result.balancing_matrix (); |
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349 break; |
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350 case 2: |
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351 retval(1) = result.balancing_matrix2 (); |
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352 // fall through |
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353 case 1: |
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354 retval(0) = result.balancing_matrix (); |
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355 break; |
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356 default: |
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357 error ("balance: invalid number of output arguments"); |
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358 break; |
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359 } |
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360 } |
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361 else |
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362 { |
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363 GEPBALANCE result (aa, bb, bal_job); |
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364 |
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365 switch (nargout) |
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366 { |
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367 case 4: |
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368 retval(3) = result.balanced_matrix2 (); |
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369 // fall through |
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370 case 3: |
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371 retval(2) = result.balanced_matrix (); |
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372 retval(1) = result.balancing_matrix2 (); |
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373 retval(0) = result.balancing_matrix (); |
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374 break; |
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375 case 2: |
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376 retval(1) = result.balancing_matrix2 (); |
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377 // fall through |
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378 case 1: |
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379 retval(0) = result.balancing_matrix (); |
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380 break; |
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381 default: |
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382 error ("balance: invalid number of output arguments"); |
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383 break; |
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384 } |
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385 } |
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386 } |
2928 | 387 } |
3185 | 388 |
2928 | 389 return retval; |
390 } |