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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, 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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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 ("qzval", Fqzval, Sqzval, 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 ("qzval"); |
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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 int arg_a_is_empty = empty_arg ("qzval", a_nr, a_nc); |
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83 int arg_b_is_empty = empty_arg ("qzval", b_nr, b_nc); |
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84 |
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85 if (arg_a_is_empty > 0 && arg_b_is_empty > 0) |
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86 return Matrix (); |
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87 else if (arg_a_is_empty || arg_b_is_empty) |
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88 return retval; |
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89 |
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90 // Arguments are not empty, so check for correct dimensions. |
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91 |
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92 if (a_nr != a_nc || b_nr != b_nc) |
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93 { |
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94 gripe_square_matrix_required ("qzval: first two parameters:"); |
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95 return retval; |
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96 } |
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97 |
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98 if (a_nr != b_nr) |
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99 { |
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100 gripe_nonconformant (); |
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101 return retval; |
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102 } |
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103 |
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104 // Dimensions look o.k., let's solve the problem. |
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105 |
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106 if (arg_a.is_complex_type () || arg_b.is_complex_type ()) |
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107 { |
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108 error ("qzval: cannot yet do complex matrix arguments\n"); |
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109 return retval; |
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110 } |
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111 |
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112 // Do everything in real arithmetic. |
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113 |
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114 Matrix jnk (a_nr, a_nr, 0.0); |
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115 |
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116 ColumnVector alfr (a_nr); |
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117 ColumnVector alfi (a_nr); |
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118 ColumnVector beta (a_nr); |
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119 |
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120 long matz = 0; |
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121 int info; |
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122 |
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123 // XXX FIXME ??? XXX |
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124 double eps = DBL_EPSILON; |
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125 |
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126 Matrix ca = arg_a.matrix_value (); |
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127 |
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128 if (error_state) |
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129 return retval; |
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130 |
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131 Matrix cb = arg_b.matrix_value (); |
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132 |
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133 if (error_state) |
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134 return retval; |
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135 |
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136 // Use EISPACK qz functions. |
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137 |
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138 F77_FCN (qzhes) (&a_nr, &a_nr, ca.fortran_vec (), |
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139 cb.fortran_vec (), &matz, jnk.fortran_vec ()); |
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140 |
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141 F77_FCN (qzit) (&a_nr, &a_nr, ca.fortran_vec (), |
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142 cb.fortran_vec (), &eps, &matz, |
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143 jnk.fortran_vec (), &info); |
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144 |
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145 if (info) |
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146 error ("qzval: trouble in qzit, info = %d", info); |
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147 |
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148 F77_FCN (qzval) (&a_nr, &a_nr, ca.fortran_vec (), |
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149 cb.fortran_vec (), alfr.fortran_vec (), |
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150 alfi.fortran_vec (), beta.fortran_vec (), |
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151 &matz, jnk.fortran_vec ()); |
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152 |
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153 // Count and extract finite generalized eigenvalues. |
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154 |
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155 int i; |
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156 int cnt = 0; |
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157 |
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158 Complex Im (0, 1); |
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159 |
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160 for (i = 0; i < a_nr; i++) |
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161 if (beta (i) != 0) |
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162 cnt++; |
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163 |
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164 ComplexColumnVector cx (cnt, 0.0); |
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165 |
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166 for (i = 0; i < a_nr; i++) |
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167 { |
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168 if (beta (i) != 0) |
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169 { |
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170 |
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171 // Finite generalized eigenvalue. |
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172 |
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173 cnt--; |
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174 cx (cnt) = (alfr (i) + Im * alfi (i)) / beta (i); |
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175 } |
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176 } |
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177 |
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178 retval = cx; |
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179 |
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180 return retval; |
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181 } |
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182 |
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183 /* |
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184 ;;; Local Variables: *** |
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185 ;;; mode: C++ *** |
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186 ;;; page-delimiter: "^/\\*" *** |
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187 ;;; End: *** |
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188 */ |
