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1 // f-qzval.cc -*- C++ -*- |
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2 /* |
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3 |
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4 Copyright (C) 1993, 1994, 1995 John W. Eaton |
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5 |
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6 This file is part of Octave. |
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7 |
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8 Octave is free software; you can redistribute it and/or modify it |
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9 under the terms of the GNU General Public License as published by the |
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10 Free Software Foundation; either version 2, or (at your option) any |
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11 later version. |
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12 |
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13 Octave is distributed in the hope that it will be useful, but WITHOUT |
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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16 for more details. |
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17 |
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18 You should have received a copy of the GNU General Public License |
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19 along with Octave; see the file COPYING. If not, write to the Free |
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20 Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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21 |
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22 */ |
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23 |
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24 // Written by A. S. Hodel <scotte@eng.auburn.edu> |
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25 |
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26 #ifdef HAVE_CONFIG_H |
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27 #include <config.h> |
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28 #endif |
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29 |
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30 #include <cfloat> |
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31 |
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32 #include "CColVector.h" |
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33 #include "dColVector.h" |
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34 #include "dMatrix.h" |
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35 #include "f77-uscore.h" |
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36 |
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37 #include "defun-dld.h" |
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38 #include "error.h" |
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39 #include "gripes.h" |
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40 #include "help.h" |
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41 #include "tree-const.h" |
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42 #include "user-prefs.h" |
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43 #include "utils.h" |
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44 |
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47
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45 extern "C" |
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46 { |
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47 int F77_FCN (qzhes, QZHES) (const int&, const int&, double*, |
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48 double*, const long&, double*); |
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49 |
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50 int F77_FCN (qzit, QZIT) (const int&, const int&, double*, double*, |
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51 const double&, const long&, double*, |
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52 int&); |
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53 |
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54 int F77_FCN (qzval, QZVAL) (const int&, const int&, double*, |
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55 double*, double*, double*, double*, |
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56 const long&, double*); |
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57 } |
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58 |
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59 DEFUN_DLD_BUILTIN ("qzval", Fqzval, Sqzval, 3, 1, |
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60 "X = qzval (A, B)\n\ |
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61 \n\ |
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62 compute generalized eigenvalues of the matrix pencil (A - lambda B).\n\ |
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63 A and B must be real matrices.") |
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64 { |
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65 Octave_object retval; |
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66 |
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67 int nargin = args.length (); |
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68 |
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69 if (nargin != 2 || nargout > 1) |
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70 { |
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71 print_usage ("qzval"); |
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72 return retval; |
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73 } |
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74 |
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75 tree_constant arg_a = args(0); |
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76 tree_constant arg_b = args(1); |
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77 |
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78 int a_nr = arg_a.rows(); |
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79 int a_nc = arg_a.columns(); |
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80 |
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81 int b_nr = arg_b.rows(); |
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82 int b_nc = arg_b.columns(); |
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83 |
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84 int arg_a_is_empty = empty_arg ("qzval", a_nr, a_nc); |
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85 int arg_b_is_empty = empty_arg ("qzval", b_nr, b_nc); |
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86 |
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87 if (arg_a_is_empty > 0 && arg_b_is_empty > 0) |
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88 return Matrix (); |
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89 else if (arg_a_is_empty || arg_b_is_empty) |
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90 return retval; |
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91 |
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92 // Arguments are not empty, so check for correct dimensions. |
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93 |
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94 if (a_nr != a_nc || b_nr != b_nc) |
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95 { |
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96 gripe_square_matrix_required ("qzval: first two parameters:"); |
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97 return retval; |
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98 } |
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99 |
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100 if (a_nr != b_nr) |
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101 { |
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102 gripe_nonconformant (); |
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103 return retval; |
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104 } |
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105 |
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106 // Dimensions look o.k., let's solve the problem. |
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107 |
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108 if (arg_a.is_complex_type () || arg_b.is_complex_type ()) |
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109 { |
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110 error ("qzval: cannot yet do complex matrix arguments\n"); |
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111 return retval; |
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112 } |
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113 |
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114 // Do everything in real arithmetic. |
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115 |
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116 Matrix jnk (a_nr, a_nr, 0.0); |
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117 |
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118 ColumnVector alfr (a_nr); |
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119 ColumnVector alfi (a_nr); |
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120 ColumnVector beta (a_nr); |
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121 |
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122 long matz = 0; |
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123 int info; |
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124 |
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125 // XXX FIXME ??? XXX |
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126 double eps = DBL_EPSILON; |
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127 |
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128 Matrix ca = arg_a.matrix_value (); |
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129 |
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130 if (error_state) |
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131 return retval; |
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132 |
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133 Matrix cb = arg_b.matrix_value (); |
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134 |
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135 if (error_state) |
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136 return retval; |
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137 |
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138 // Use EISPACK qz functions. |
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139 |
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140 F77_FCN (qzhes, QZHES) (a_nr, a_nr, ca.fortran_vec (), |
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141 cb.fortran_vec (), matz, |
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142 jnk.fortran_vec ()); |
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143 |
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144 F77_FCN (qzit, QZIT) (a_nr, a_nr, ca.fortran_vec (), |
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145 cb.fortran_vec (), eps, matz, |
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146 jnk.fortran_vec (), info); |
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147 |
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148 if (info) |
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149 error ("qzval: trouble in qzit, info = %d", info); |
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150 |
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151 F77_FCN (qzval, QZVAL) (a_nr, a_nr, ca.fortran_vec (), |
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152 cb.fortran_vec (), alfr.fortran_vec (), |
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153 alfi.fortran_vec (), beta.fortran_vec (), |
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154 matz, jnk.fortran_vec ()); |
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155 |
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156 // Count and extract finite generalized eigenvalues. |
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157 |
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158 int i; |
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159 int cnt = 0; |
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160 |
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161 Complex Im (0, 1); |
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162 |
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163 for (i = 0; i < a_nr; i++) |
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164 if (beta (i) != 0) |
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165 cnt++; |
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166 |
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167 ComplexColumnVector cx (cnt, 0.0); |
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168 |
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169 for (i = 0; i < a_nr; i++) |
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170 { |
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171 if (beta (i) != 0) |
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172 { |
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173 |
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174 // Finite generalized eigenvalue. |
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175 |
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176 cnt--; |
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177 cx (cnt) = (alfr (i) + Im * alfi (i)) / beta (i); |
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178 } |
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179 } |
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180 |
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181 retval = cx; |
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182 |
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183 return retval; |
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184 } |
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185 |
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186 /* |
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187 ;;; Local Variables: *** |
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188 ;;; mode: C++ *** |
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189 ;;; page-delimiter: "^/\\*" *** |
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190 ;;; End: *** |
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191 */ |
