Mercurial > octave-nkf
annotate libinterp/corefcn/balance.cc @ 20617:ba2b07c13913
use new string_value method to handle value extraction errors
* __dispatch__.cc, balance.cc, colloc.cc, conv2.cc, data.cc, debug.cc,
graphics.cc, input.cc, matrix_type.cc, oct-hist.cc, schur.cc,
spparms.cc, symtab.cc, sysdep.cc, toplev.cc, utils.cc:
Use new string_value method.
author | John W. Eaton <jwe@octave.org> |
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date | Fri, 09 Oct 2015 10:06:39 -0400 |
parents | f90c8372b7ba |
children |
rev | line source |
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2928 | 1 /* |
2 | |
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3 Copyright (C) 1996-2015 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 Balance the matrix @var{A} to reduce numerical errors in future\n\ |
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58 calculations.\n\ |
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59 \n\ |
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60 Compute @code{@var{AA} = @var{DD} \\ @var{A} * @var{DD}} in which @var{AA}\n\ |
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61 is a matrix whose row and column norms are roughly equal in magnitude, and\n\ |
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62 @code{@var{DD} = @var{P} * @var{D}}, in which @var{P} is a permutation\n\ |
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63 matrix and @var{D} is a diagonal matrix of powers of two. This allows the\n\ |
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64 equilibration to be computed without round-off. Results of eigenvalue\n\ |
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65 calculation are typically improved by balancing first.\n\ |
2928 | 66 \n\ |
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67 If two output values are requested, @code{balance} returns\n\ |
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68 the diagonal @var{D} and the permutation @var{P} separately as vectors.\n\ |
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69 In this case, @code{@var{DD} = eye(n)(:,@var{P}) * diag (@var{D})}, where\n\ |
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70 @math{n} is the matrix size.\n\ |
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71 \n\ |
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72 If four output values are requested, compute @code{@var{AA} =\n\ |
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73 @var{CC}*@var{A}*@var{DD}} and @code{@var{BB} = @var{CC}*@var{B}*@var{DD}},\n\ |
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74 in which @var{AA} and @var{BB} have nonzero elements of approximately the\n\ |
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75 same magnitude and @var{CC} and @var{DD} are permuted diagonal matrices as\n\ |
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76 in @var{DD} for the algebraic eigenvalue problem.\n\ |
3372 | 77 \n\ |
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78 The eigenvalue balancing option @var{opt} may be one of:\n\ |
2928 | 79 \n\ |
3372 | 80 @table @asis\n\ |
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81 @item @qcode{\"noperm\"}, @qcode{\"S\"}\n\ |
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82 Scale only; do not permute.\n\ |
3372 | 83 \n\ |
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84 @item @qcode{\"noscal\"}, @qcode{\"P\"}\n\ |
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85 Permute only; do not scale.\n\ |
3372 | 86 @end table\n\ |
2928 | 87 \n\ |
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88 Algebraic eigenvalue balancing uses standard @sc{lapack} routines.\n\ |
3372 | 89 \n\ |
90 Generalized eigenvalue problem balancing uses Ward's algorithm\n\ | |
91 (SIAM Journal on Scientific and Statistical Computing, 1981).\n\ | |
92 @end deftypefn") | |
2928 | 93 { |
94 octave_value_list retval; | |
95 | |
96 int nargin = args.length (); | |
97 | |
98 if (nargin < 1 || nargin > 3 || nargout < 0 || nargout > 4) | |
99 { | |
5823 | 100 print_usage (); |
2928 | 101 return retval; |
102 } | |
103 | |
3181 | 104 // determine if it's AEP or GEP |
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105 bool AEPcase = nargin == 1 || args(1).is_string (); |
2928 | 106 |
3181 | 107 // problem dimension |
5275 | 108 octave_idx_type nn = args(0).rows (); |
2928 | 109 |
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110 if (nn != args(0).columns ()) |
3185 | 111 { |
112 gripe_square_matrix_required ("balance"); | |
113 return retval; | |
114 } | |
2928 | 115 |
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116 bool isfloat = args(0).is_single_type () |
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117 || (! AEPcase && args(1).is_single_type ()); |
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118 |
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119 bool complex_case = args(0).is_complex_type () |
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120 || (! AEPcase && args(1).is_complex_type ()); |
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121 |
2928 | 122 // Extract argument 1 parameter for both AEP and GEP. |
123 Matrix aa; | |
124 ComplexMatrix caa; | |
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125 FloatMatrix faa; |
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126 FloatComplexMatrix fcaa; |
3185 | 127 |
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128 if (isfloat) |
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129 { |
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130 if (complex_case) |
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131 fcaa = args(0).float_complex_matrix_value (); |
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132 else |
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133 faa = args(0).float_matrix_value (); |
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134 } |
3185 | 135 else |
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136 { |
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137 if (complex_case) |
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138 caa = args(0).complex_matrix_value (); |
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139 else |
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140 aa = args(0).matrix_value (); |
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141 } |
3185 | 142 |
2928 | 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 |
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247 bal_job = args(2).string_value ("balance: OPT argument must be a string"); |
3185 | 248 |
249 if ((nn != args(1).columns ()) || (nn != args(1).rows ())) | |
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250 { |
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251 gripe_nonconformant (); |
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252 return retval; |
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253 } |
3185 | 254 |
255 Matrix bb; | |
256 ComplexMatrix cbb; | |
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257 FloatMatrix fbb; |
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258 FloatComplexMatrix fcbb; |
3185 | 259 |
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260 if (isfloat) |
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261 { |
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262 if (complex_case) |
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263 fcbb = args(1).float_complex_matrix_value (); |
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264 else |
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265 fbb = args(1).float_matrix_value (); |
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266 } |
3185 | 267 else |
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268 { |
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269 if (complex_case) |
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270 cbb = args(1).complex_matrix_value (); |
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271 else |
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272 bb = args(1).matrix_value (); |
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273 } |
4153 | 274 |
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275 // balance the GEP |
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276 if (isfloat) |
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277 { |
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278 if (complex_case) |
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279 { |
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280 FloatComplexGEPBALANCE result (fcaa, fcbb, bal_job); |
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281 |
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282 switch (nargout) |
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283 { |
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284 case 4: |
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285 retval(3) = result.balanced_matrix2 (); |
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286 // fall through |
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287 case 3: |
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288 retval(2) = result.balanced_matrix (); |
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289 retval(1) = result.balancing_matrix2 (); |
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290 retval(0) = result.balancing_matrix (); |
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291 break; |
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292 case 2: |
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293 retval(1) = result.balancing_matrix2 (); |
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294 // fall through |
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295 case 1: |
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296 retval(0) = result.balancing_matrix (); |
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297 break; |
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298 default: |
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299 error ("balance: invalid number of output arguments"); |
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300 break; |
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301 } |
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302 } |
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303 else |
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304 { |
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305 FloatGEPBALANCE result (faa, fbb, bal_job); |
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306 |
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307 switch (nargout) |
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308 { |
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309 case 4: |
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310 retval(3) = result.balanced_matrix2 (); |
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311 // fall through |
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312 case 3: |
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313 retval(2) = result.balanced_matrix (); |
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314 retval(1) = result.balancing_matrix2 (); |
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315 retval(0) = result.balancing_matrix (); |
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316 break; |
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317 case 2: |
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318 retval(1) = result.balancing_matrix2 (); |
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319 // fall through |
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320 case 1: |
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321 retval(0) = result.balancing_matrix (); |
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322 break; |
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323 default: |
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324 error ("balance: invalid number of output arguments"); |
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325 break; |
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326 } |
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327 } |
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328 } |
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329 else |
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330 { |
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331 if (complex_case) |
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332 { |
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333 ComplexGEPBALANCE result (caa, cbb, bal_job); |
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334 |
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335 switch (nargout) |
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336 { |
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337 case 4: |
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338 retval(3) = result.balanced_matrix2 (); |
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339 // fall through |
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340 case 3: |
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341 retval(2) = result.balanced_matrix (); |
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342 retval(1) = result.balancing_matrix2 (); |
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343 retval(0) = result.balancing_matrix (); |
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344 break; |
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345 case 2: |
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346 retval(1) = result.balancing_matrix2 (); |
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347 // fall through |
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348 case 1: |
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349 retval(0) = result.balancing_matrix (); |
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350 break; |
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351 default: |
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352 error ("balance: invalid number of output arguments"); |
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353 break; |
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354 } |
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355 } |
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356 else |
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357 { |
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358 GEPBALANCE result (aa, bb, bal_job); |
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359 |
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360 switch (nargout) |
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361 { |
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362 case 4: |
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363 retval(3) = result.balanced_matrix2 (); |
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364 // fall through |
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365 case 3: |
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366 retval(2) = result.balanced_matrix (); |
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367 retval(1) = result.balancing_matrix2 (); |
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368 retval(0) = result.balancing_matrix (); |
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369 break; |
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370 case 2: |
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371 retval(1) = result.balancing_matrix2 (); |
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372 // fall through |
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373 case 1: |
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374 retval(0) = result.balancing_matrix (); |
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375 break; |
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376 default: |
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377 error ("balance: invalid number of output arguments"); |
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378 break; |
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379 } |
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380 } |
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381 } |
2928 | 382 } |
3185 | 383 |
2928 | 384 return retval; |
385 } |