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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 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, 675 Mass Ave, Cambridge, MA 02139, 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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240
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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 <float.h> |
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31 |
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32 #include "dMatrix.h" |
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33 #include "dColVector.h" |
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34 #include "CColVector.h" |
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35 #include "f77-uscore.h" |
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36 |
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37 #include "tree-const.h" |
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38 #include "user-prefs.h" |
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39 #include "gripes.h" |
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40 #include "error.h" |
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41 #include "utils.h" |
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42 #include "help.h" |
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43 #include "defun-dld.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) (const int*, const int*, double*, double*, const |
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48 long*, double*); |
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49 |
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50 int F77_FCN (qzit) (const int*, const int*, double*, double*, const |
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51 double*, const long*, double*, int*); |
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52 |
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53 int F77_FCN (qzval) (const int*, const int*, double*, double*, |
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54 double*, double*, double*, const long*, double*); |
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55 } |
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56 |
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57 DEFUN_DLD_BUILTIN ("qzvalue", Fqzvalue, Sqzvalue, 3, 1, |
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58 "X = qzval (A, B)\n\ |
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59 \n\ |
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60 compute generalized eigenvalues of the matrix pencil (A - lambda B).\n\ |
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61 A and B must be real matrices.") |
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62 { |
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63 Octave_object retval; |
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64 |
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65 int nargin = args.length (); |
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66 |
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67 if (nargin != 2 || nargout > 1) |
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68 { |
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69 print_usage ("qzvalue"); |
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70 return retval; |
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71 } |
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72 |
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73 tree_constant arg_a = args(0); |
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74 tree_constant arg_b = args(1); |
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75 |
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76 int a_nr = arg_a.rows(); |
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77 int a_nc = arg_a.columns(); |
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78 |
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79 int b_nr = arg_b.rows(); |
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80 int b_nc = arg_b.columns(); |
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81 |
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82 if (empty_arg ("qzvalue", a_nr, a_nc) < 0 |
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83 || empty_arg ("qzvalue", b_nr, b_nc) < 0) |
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84 return retval; |
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85 |
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86 // Arguments are not empty, so check for correct dimensions. |
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87 |
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88 if (a_nr != a_nc || b_nr != b_nc) |
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89 { |
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90 gripe_square_matrix_required ("qzvalue: first two parameters:"); |
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91 return retval; |
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92 } |
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93 |
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94 if (a_nr != b_nr) |
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95 { |
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96 gripe_nonconformant (); |
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97 return retval; |
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98 } |
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99 |
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100 // Dimensions look o.k., let's solve the problem. |
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101 |
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102 if (arg_a.is_complex_type () || arg_b.is_complex_type ()) |
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103 { |
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104 error ("qzvalue: cannot yet do complex matrix arguments\n"); |
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105 return retval; |
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106 } |
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107 |
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108 // Do everything in real arithmetic. |
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109 |
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110 Matrix jnk (a_nr, a_nr, 0.0); |
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111 |
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112 ColumnVector alfr (a_nr); |
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113 ColumnVector alfi (a_nr); |
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114 ColumnVector beta (a_nr); |
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115 |
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116 long matz = 0; |
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117 int info; |
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118 |
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119 // XXX FIXME ??? XXX |
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120 double eps = DBL_EPSILON; |
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121 |
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122 Matrix ca = arg_a.matrix_value (); |
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123 |
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124 if (error_state) |
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125 return retval; |
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126 |
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127 Matrix cb = arg_b.matrix_value (); |
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128 |
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129 if (error_state) |
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130 return retval; |
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131 |
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132 // Use EISPACK qz functions. |
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133 |
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134 F77_FCN (qzhes) (&a_nr, &a_nr, ca.fortran_vec (), |
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135 cb.fortran_vec (), &matz, jnk.fortran_vec ()); |
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136 |
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137 F77_FCN (qzit) (&a_nr, &a_nr, ca.fortran_vec (), |
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138 cb.fortran_vec (), &eps, &matz, |
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139 jnk.fortran_vec (), &info); |
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140 |
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141 if (info) |
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142 error ("qzvalue: trouble in qzit, info = %d", info); |
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143 |
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144 F77_FCN (qzval) (&a_nr, &a_nr, ca.fortran_vec (), |
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145 cb.fortran_vec (), alfr.fortran_vec (), |
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146 alfi.fortran_vec (), beta.fortran_vec (), |
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147 &matz, jnk.fortran_vec ()); |
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148 |
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149 // Count and extract finite generalized eigenvalues. |
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150 |
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151 int i; |
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152 int cnt = 0; |
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153 |
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154 Complex Im (0, 1); |
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155 |
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156 for (i = 0; i < a_nr; i++) |
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157 if (beta (i) != 0) |
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158 cnt++; |
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159 |
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160 ComplexColumnVector cx (cnt, 0.0); |
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161 |
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162 for (i = 0; i < a_nr; i++) |
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163 { |
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164 if (beta (i) != 0) |
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165 { |
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166 |
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167 // Finite generalized eigenvalue. |
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168 |
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169 cnt--; |
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170 cx (cnt) = (alfr (i) + Im * alfi (i)) / beta (i); |
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171 } |
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172 } |
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173 |
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174 retval = cx; |
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175 |
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176 return retval; |
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177 } |
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178 |
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179 /* |
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180 ;;; Local Variables: *** |
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181 ;;; mode: C++ *** |
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182 ;;; page-delimiter: "^/\\*" *** |
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183 ;;; End: *** |
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184 */ |
