Mercurial > octave
annotate libinterp/corefcn/balance.cc @ 20918:6f0bd96f93c0
maint: Use new C++ archetype in more files.
Place input validation first in files.
Move declaration of retval down in function to be closer to point of usage.
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Use "return ovl()" where it makes sense.
* __dispatch__.cc, __dsearchn__.cc, __ichol__.cc, __lin_interpn__.cc,
balance.cc, betainc.cc, bitfcns.cc, bsxfun.cc, cellfun.cc, colloc.cc, conv2.cc,
daspk.cc, dasrt.cc, dassl.cc, data.cc, debug.cc, dirfns.cc, dlmread.cc, dot.cc,
eig.cc, error.cc, fft.cc, fft2.cc, fftn.cc, file-io.cc, ov-type-conv.h:
Use new C++ archetype in more files.
author | Rik <rik@octave.org> |
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date | Wed, 16 Dec 2015 15:00:31 -0800 |
parents | 03e4ddd49396 |
children | 48b2ad5ee801 |
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 {} {@var{AA} =} balance (@var{A})\n\ |
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52 @deftypefnx {} {@var{AA} =} balance (@var{A}, @var{opt})\n\ |
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53 @deftypefnx {} {[@var{DD}, @var{AA}] =} balance (@var{A}, @var{opt})\n\ |
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54 @deftypefnx {} {[@var{D}, @var{P}, @var{AA}] =} balance (@var{A}, @var{opt})\n\ |
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55 @deftypefnx {} {[@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 int nargin = args.length (); | |
95 | |
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96 if (nargin < 1 || nargin > 3 || nargout < 0) |
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97 print_usage (); |
2928 | 98 |
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99 octave_value_list retval; |
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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 |
2928 | 140 // Treat AEP/GEP cases. |
3185 | 141 if (AEPcase) |
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142 { |
3185 | 143 // Algebraic eigenvalue problem. |
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144 bool noperm = false; |
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145 bool noscal = false; |
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146 if (nargin > 1) |
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147 { |
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148 std::string a1s = args(1).string_value (); |
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149 noperm = a1s == "noperm" || a1s == "S"; |
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150 noscal = a1s == "noscal" || a1s == "P"; |
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151 } |
3185 | 152 |
153 // balance the AEP | |
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154 if (isfloat) |
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155 { |
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156 if (complex_case) |
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157 { |
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158 FloatComplexAEPBALANCE result (fcaa, noperm, noscal); |
2928 | 159 |
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160 if (nargout == 0 || nargout == 1) |
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161 retval = ovl (result.balanced_matrix ()); |
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162 else if (nargout == 2) |
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163 retval = ovl (result.balancing_matrix (), |
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164 result.balanced_matrix ()); |
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165 else |
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166 retval = ovl (result.scaling_vector (), |
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167 result.permuting_vector (), |
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168 result.balanced_matrix ()); |
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169 } |
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170 else |
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171 { |
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172 FloatAEPBALANCE result (faa, noperm, noscal); |
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173 |
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174 if (nargout == 0 || nargout == 1) |
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175 retval = ovl (result.balanced_matrix ()); |
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176 else if (nargout == 2) |
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177 retval = ovl (result.balancing_matrix (), |
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178 result.balanced_matrix ()); |
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179 else |
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180 retval = ovl (result.scaling_vector (), |
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181 result.permuting_vector (), |
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182 result.balanced_matrix ()); |
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183 } |
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184 } |
3181 | 185 else |
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186 { |
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187 if (complex_case) |
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188 { |
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189 ComplexAEPBALANCE result (caa, noperm, noscal); |
3185 | 190 |
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191 if (nargout == 0 || nargout == 1) |
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192 retval = ovl (result.balanced_matrix ()); |
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193 else if (nargout == 2) |
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194 retval = ovl (result.balancing_matrix (), |
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195 result.balanced_matrix ()); |
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196 else |
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197 retval = ovl (result.scaling_vector (), |
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198 result.permuting_vector (), |
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199 result.balanced_matrix ()); |
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200 } |
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201 else |
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202 { |
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203 AEPBALANCE result (aa, noperm, noscal); |
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204 |
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205 if (nargout == 0 || nargout == 1) |
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206 retval = ovl (result.balanced_matrix ()); |
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207 else if (nargout == 2) |
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208 retval = ovl (result.balancing_matrix (), |
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209 result.balanced_matrix ()); |
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210 else |
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211 retval = ovl (result.scaling_vector (), |
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212 result.permuting_vector (), |
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213 result.balanced_matrix ()); |
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214 } |
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215 } |
3181 | 216 } |
217 else | |
218 { | |
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219 std::string bal_job; |
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220 if (nargout == 1) |
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221 warning ("balance: used GEP, should have two output arguments"); |
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222 |
3185 | 223 // Generalized eigenvalue problem. |
224 if (nargin == 2) | |
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225 bal_job = "B"; |
3185 | 226 else |
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227 bal_job = args(2).xstring_value ("balance: OPT argument must be a string"); |
3185 | 228 |
229 if ((nn != args(1).columns ()) || (nn != args(1).rows ())) | |
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230 { |
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231 gripe_nonconformant (); |
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232 return retval; |
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233 } |
3185 | 234 |
235 Matrix bb; | |
236 ComplexMatrix cbb; | |
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237 FloatMatrix fbb; |
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238 FloatComplexMatrix fcbb; |
3185 | 239 |
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240 if (isfloat) |
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241 { |
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242 if (complex_case) |
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243 fcbb = args(1).float_complex_matrix_value (); |
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244 else |
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245 fbb = args(1).float_matrix_value (); |
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246 } |
3185 | 247 else |
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248 { |
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249 if (complex_case) |
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250 cbb = args(1).complex_matrix_value (); |
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251 else |
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252 bb = args(1).matrix_value (); |
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253 } |
4153 | 254 |
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255 // balance the GEP |
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256 if (isfloat) |
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257 { |
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258 if (complex_case) |
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259 { |
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260 FloatComplexGEPBALANCE result (fcaa, fcbb, bal_job); |
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261 |
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262 switch (nargout) |
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263 { |
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264 case 4: |
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265 retval(3) = result.balanced_matrix2 (); |
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266 // fall through |
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267 case 3: |
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268 retval(2) = result.balanced_matrix (); |
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269 retval(1) = result.balancing_matrix2 (); |
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270 retval(0) = result.balancing_matrix (); |
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271 break; |
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272 case 2: |
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273 retval(1) = result.balancing_matrix2 (); |
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274 // fall through |
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275 case 1: |
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276 retval(0) = result.balancing_matrix (); |
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277 break; |
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278 default: |
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279 error ("balance: invalid number of output arguments"); |
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280 break; |
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281 } |
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282 } |
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283 else |
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284 { |
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285 FloatGEPBALANCE result (faa, fbb, 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 } |
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309 else |
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310 { |
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311 if (complex_case) |
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312 { |
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313 ComplexGEPBALANCE result (caa, cbb, bal_job); |
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314 |
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315 switch (nargout) |
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316 { |
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317 case 4: |
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318 retval(3) = result.balanced_matrix2 (); |
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319 // fall through |
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320 case 3: |
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321 retval(2) = result.balanced_matrix (); |
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322 retval(1) = result.balancing_matrix2 (); |
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323 retval(0) = result.balancing_matrix (); |
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324 break; |
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325 case 2: |
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326 retval(1) = result.balancing_matrix2 (); |
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327 // fall through |
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328 case 1: |
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329 retval(0) = result.balancing_matrix (); |
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330 break; |
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331 default: |
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332 error ("balance: invalid number of output arguments"); |
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333 break; |
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334 } |
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335 } |
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336 else |
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337 { |
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338 GEPBALANCE result (aa, bb, 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 } |
2928 | 362 } |
3185 | 363 |
2928 | 364 return retval; |
365 } |