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1 /* |
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2 |
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3 Copyright (C) 1996, 1997 John W. Eaton |
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4 |
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5 This file is part of Octave. |
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6 |
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7 Octave is free software; you can redistribute it and/or modify it |
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8 under the terms of the GNU General Public License as published by the |
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9 Free Software Foundation; either version 3 of the License, or (at your |
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10 option) any later version. |
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11 |
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12 Octave is distributed in the hope that it will be useful, but WITHOUT |
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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15 for more details. |
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16 |
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17 You should have received a copy of the GNU General Public License |
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18 along with Octave; see the file COPYING. If not, see |
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19 <http://www.gnu.org/licenses/>. |
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20 |
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21 */ |
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22 |
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23 #ifdef HAVE_CONFIG_H |
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24 #include <config.h> |
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25 #endif |
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26 |
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27 #include <iostream> |
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28 |
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29 #include "dbleSCHUR.h" |
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30 #include "f77-fcn.h" |
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31 #include "lo-error.h" |
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32 |
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33 extern "C" |
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34 { |
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35 F77_RET_T |
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36 F77_FUNC (dgeesx, DGEESX) (F77_CONST_CHAR_ARG_DECL, |
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37 F77_CONST_CHAR_ARG_DECL, |
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38 SCHUR::select_function, |
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39 F77_CONST_CHAR_ARG_DECL, |
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40 const octave_idx_type&, double*, const octave_idx_type&, octave_idx_type&, |
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41 double*, double*, double*, const octave_idx_type&, |
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42 double&, double&, double*, const octave_idx_type&, |
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43 octave_idx_type*, const octave_idx_type&, octave_idx_type*, octave_idx_type& |
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44 F77_CHAR_ARG_LEN_DECL |
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45 F77_CHAR_ARG_LEN_DECL |
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46 F77_CHAR_ARG_LEN_DECL); |
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47 } |
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48 |
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49 static octave_idx_type |
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50 select_ana (const double& a, const double&) |
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51 { |
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52 return (a < 0.0); |
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53 } |
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54 |
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55 static octave_idx_type |
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56 select_dig (const double& a, const double& b) |
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57 { |
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58 return (hypot (a, b) < 1.0); |
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59 } |
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60 |
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61 octave_idx_type |
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62 SCHUR::init (const Matrix& a, const std::string& ord, bool calc_unitary) |
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63 { |
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64 octave_idx_type a_nr = a.rows (); |
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65 octave_idx_type a_nc = a.cols (); |
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66 |
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67 if (a_nr != a_nc) |
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68 { |
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69 (*current_liboctave_error_handler) ("SCHUR requires square matrix"); |
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70 return -1; |
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71 } |
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72 |
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73 // Workspace requirements may need to be fixed if any of the |
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74 // following change. |
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75 |
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76 char jobvs; |
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77 char sense = 'N'; |
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78 char sort = 'N'; |
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79 |
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80 if (calc_unitary) |
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81 jobvs = 'V'; |
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82 else |
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83 jobvs = 'N'; |
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84 |
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85 char ord_char = ord.empty () ? 'U' : ord[0]; |
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86 |
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87 if (ord_char == 'A' || ord_char == 'D' || ord_char == 'a' || ord_char == 'd') |
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88 sort = 'S'; |
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89 |
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90 if (ord_char == 'A' || ord_char == 'a') |
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91 selector = select_ana; |
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92 else if (ord_char == 'D' || ord_char == 'd') |
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93 selector = select_dig; |
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94 else |
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95 selector = 0; |
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96 |
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97 octave_idx_type n = a_nc; |
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98 octave_idx_type lwork = 8 * n; |
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99 octave_idx_type liwork = 1; |
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100 octave_idx_type info; |
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101 octave_idx_type sdim; |
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102 double rconde; |
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103 double rcondv; |
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104 |
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105 schur_mat = a; |
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106 |
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107 if (calc_unitary) |
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108 unitary_mat.resize (n, n); |
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109 |
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110 double *s = schur_mat.fortran_vec (); |
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111 double *q = unitary_mat.fortran_vec (); |
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112 |
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113 Array<double> wr (n); |
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114 double *pwr = wr.fortran_vec (); |
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115 |
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116 Array<double> wi (n); |
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117 double *pwi = wi.fortran_vec (); |
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118 |
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119 Array<double> work (lwork); |
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120 double *pwork = work.fortran_vec (); |
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121 |
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122 // BWORK is not referenced for the non-ordered Schur routine. |
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123 Array<octave_idx_type> bwork ((ord_char == 'N' || ord_char == 'n') ? 0 : n); |
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124 octave_idx_type *pbwork = bwork.fortran_vec (); |
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125 |
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126 Array<octave_idx_type> iwork (liwork); |
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127 octave_idx_type *piwork = iwork.fortran_vec (); |
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128 |
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129 F77_XFCN (dgeesx, DGEESX, (F77_CONST_CHAR_ARG2 (&jobvs, 1), |
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130 F77_CONST_CHAR_ARG2 (&sort, 1), |
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131 selector, |
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132 F77_CONST_CHAR_ARG2 (&sense, 1), |
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133 n, s, n, sdim, pwr, pwi, q, n, rconde, rcondv, |
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134 pwork, lwork, piwork, liwork, pbwork, info |
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135 F77_CHAR_ARG_LEN (1) |
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136 F77_CHAR_ARG_LEN (1) |
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137 F77_CHAR_ARG_LEN (1))); |
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138 |
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139 if (f77_exception_encountered) |
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140 (*current_liboctave_error_handler) ("unrecoverable error in dgeesx"); |
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141 |
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142 return info; |
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143 } |
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144 |
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145 std::ostream& |
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146 operator << (std::ostream& os, const SCHUR& a) |
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147 { |
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148 os << a.schur_matrix () << "\n"; |
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149 os << a.unitary_matrix () << "\n"; |
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150 |
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151 return os; |
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152 } |
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153 |
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154 /* |
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155 ;;; Local Variables: *** |
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156 ;;; mode: C++ *** |
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157 ;;; End: *** |
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158 */ |
