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1 /* |
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2 |
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3 Copyright (C) 1994, 1995, 1996, 1997, 1999, 2000, 2002, 2003, 2004, |
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4 2005, 2007 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 3 of the License, or (at your |
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11 option) any 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, see |
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20 <http://www.gnu.org/licenses/>. |
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21 |
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22 */ |
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23 |
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24 #ifdef HAVE_CONFIG_H |
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25 #include <config.h> |
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26 #endif |
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27 |
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28 #include <iostream> |
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29 |
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30 #include "dbleSCHUR.h" |
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31 #include "f77-fcn.h" |
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32 #include "lo-error.h" |
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33 |
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34 extern "C" |
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35 { |
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36 F77_RET_T |
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37 F77_FUNC (dgeesx, DGEESX) (F77_CONST_CHAR_ARG_DECL, |
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38 F77_CONST_CHAR_ARG_DECL, |
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39 SCHUR::select_function, |
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40 F77_CONST_CHAR_ARG_DECL, |
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41 const octave_idx_type&, double*, const octave_idx_type&, octave_idx_type&, |
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42 double*, double*, double*, const octave_idx_type&, |
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43 double&, double&, double*, const octave_idx_type&, |
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44 octave_idx_type*, const octave_idx_type&, octave_idx_type*, octave_idx_type& |
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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 F77_CHAR_ARG_LEN_DECL); |
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48 } |
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49 |
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50 static octave_idx_type |
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51 select_ana (const double& a, const double&) |
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52 { |
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53 return (a < 0.0); |
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54 } |
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55 |
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56 static octave_idx_type |
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57 select_dig (const double& a, const double& b) |
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58 { |
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59 return (hypot (a, b) < 1.0); |
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60 } |
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61 |
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62 octave_idx_type |
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63 SCHUR::init (const Matrix& a, const std::string& ord, bool calc_unitary) |
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64 { |
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65 octave_idx_type a_nr = a.rows (); |
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66 octave_idx_type a_nc = a.cols (); |
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67 |
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68 if (a_nr != a_nc) |
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69 { |
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70 (*current_liboctave_error_handler) ("SCHUR requires square matrix"); |
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71 return -1; |
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72 } |
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73 |
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74 // Workspace requirements may need to be fixed if any of the |
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75 // following change. |
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76 |
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77 char jobvs; |
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78 char sense = 'N'; |
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79 char sort = 'N'; |
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80 |
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81 if (calc_unitary) |
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82 jobvs = 'V'; |
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83 else |
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84 jobvs = 'N'; |
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85 |
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86 char ord_char = ord.empty () ? 'U' : ord[0]; |
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87 |
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88 if (ord_char == 'A' || ord_char == 'D' || ord_char == 'a' || ord_char == 'd') |
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89 sort = 'S'; |
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90 |
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91 if (ord_char == 'A' || ord_char == 'a') |
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92 selector = select_ana; |
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93 else if (ord_char == 'D' || ord_char == 'd') |
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94 selector = select_dig; |
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95 else |
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96 selector = 0; |
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97 |
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98 octave_idx_type n = a_nc; |
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99 octave_idx_type lwork = 8 * n; |
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100 octave_idx_type liwork = 1; |
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101 octave_idx_type info; |
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102 octave_idx_type sdim; |
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103 double rconde; |
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104 double rcondv; |
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105 |
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106 schur_mat = a; |
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107 |
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108 if (calc_unitary) |
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109 unitary_mat.resize (n, n); |
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110 |
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111 double *s = schur_mat.fortran_vec (); |
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112 double *q = unitary_mat.fortran_vec (); |
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113 |
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114 Array<double> wr (n); |
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115 double *pwr = wr.fortran_vec (); |
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116 |
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117 Array<double> wi (n); |
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118 double *pwi = wi.fortran_vec (); |
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119 |
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120 Array<double> work (lwork); |
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121 double *pwork = work.fortran_vec (); |
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122 |
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123 // BWORK is not referenced for the non-ordered Schur routine. |
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124 Array<octave_idx_type> bwork ((ord_char == 'N' || ord_char == 'n') ? 0 : n); |
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125 octave_idx_type *pbwork = bwork.fortran_vec (); |
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126 |
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127 Array<octave_idx_type> iwork (liwork); |
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128 octave_idx_type *piwork = iwork.fortran_vec (); |
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129 |
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130 F77_XFCN (dgeesx, DGEESX, (F77_CONST_CHAR_ARG2 (&jobvs, 1), |
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131 F77_CONST_CHAR_ARG2 (&sort, 1), |
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132 selector, |
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133 F77_CONST_CHAR_ARG2 (&sense, 1), |
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134 n, s, n, sdim, pwr, pwi, q, n, rconde, rcondv, |
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135 pwork, lwork, piwork, liwork, pbwork, info |
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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 F77_CHAR_ARG_LEN (1))); |
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139 |
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140 if (f77_exception_encountered) |
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141 (*current_liboctave_error_handler) ("unrecoverable error in dgeesx"); |
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142 |
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143 return info; |
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144 } |
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145 |
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146 std::ostream& |
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147 operator << (std::ostream& os, const SCHUR& a) |
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148 { |
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149 os << a.schur_matrix () << "\n"; |
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150 os << a.unitary_matrix () << "\n"; |
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151 |
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152 return os; |
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153 } |
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154 |
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155 /* |
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156 ;;; Local Variables: *** |
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157 ;;; mode: C++ *** |
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158 ;;; End: *** |
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159 */ |
