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annotate liboctave/numeric/floatSCHUR.cc @ 18238:8f256148d82b

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maint: Periodic merge of gui-release to default.
author John W. Eaton <jwe@octave.org>
date Tue, 07 Jan 2014 16:07:54 -0500
parents 49a5a4be04a1
children 4197fc428c7d
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1 /*
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2
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3 Copyright (C) 1994-2013 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 "floatSCHUR.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 (sgeesx, SGEESX) (F77_CONST_CHAR_ARG_DECL,
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37 F77_CONST_CHAR_ARG_DECL,
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38 FloatSCHUR::select_function,
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39 F77_CONST_CHAR_ARG_DECL,
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40 const octave_idx_type&, float*,
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41 const octave_idx_type&, octave_idx_type&,
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42 float*, float*, float*, const octave_idx_type&,
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43 float&, float&, float*, const octave_idx_type&,
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44 octave_idx_type*, const octave_idx_type&,
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45 octave_idx_type*, octave_idx_type&
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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 F77_CHAR_ARG_LEN_DECL);
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49 }
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50
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51 static octave_idx_type
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52 select_ana (const float& a, const float&)
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53 {
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54 return (a < 0.0);
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55 }
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56
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57 static octave_idx_type
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58 select_dig (const float& a, const float& b)
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59 {
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60 return (hypot (a, b) < 1.0);
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61 }
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62
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63 octave_idx_type
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64 FloatSCHUR::init (const FloatMatrix& a, const std::string& ord,
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65 bool calc_unitary)
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66 {
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67 octave_idx_type a_nr = a.rows ();
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68 octave_idx_type a_nc = a.cols ();
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69
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70 if (a_nr != a_nc)
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71 {
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72 (*current_liboctave_error_handler) ("FloatSCHUR requires square matrix");
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73 return -1;
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74 }
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75 else if (a_nr == 0)
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76 {
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77 schur_mat.clear ();
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78 unitary_mat.clear ();
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79 return 0;
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80 }
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81
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82 // Workspace requirements may need to be fixed if any of the
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83 // following change.
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84
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85 char jobvs;
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86 char sense = 'N';
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87 char sort = 'N';
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88
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89 if (calc_unitary)
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90 jobvs = 'V';
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91 else
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92 jobvs = 'N';
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93
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94 char ord_char = ord.empty () ? 'U' : ord[0];
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95
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96 if (ord_char == 'A' || ord_char == 'D' || ord_char == 'a' || ord_char == 'd')
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97 sort = 'S';
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98
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99 if (ord_char == 'A' || ord_char == 'a')
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100 selector = select_ana;
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101 else if (ord_char == 'D' || ord_char == 'd')
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102 selector = select_dig;
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103 else
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104 selector = 0;
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105
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106 octave_idx_type n = a_nc;
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107 octave_idx_type lwork = 8 * n;
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108 octave_idx_type liwork = 1;
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109 octave_idx_type info;
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110 octave_idx_type sdim;
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111 float rconde;
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112 float rcondv;
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113
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114 schur_mat = a;
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115
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116 if (calc_unitary)
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117 unitary_mat.clear (n, n);
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118
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119 float *s = schur_mat.fortran_vec ();
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120 float *q = unitary_mat.fortran_vec ();
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121
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122 Array<float> wr (dim_vector (n, 1));
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123 float *pwr = wr.fortran_vec ();
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124
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125 Array<float> wi (dim_vector (n, 1));
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126 float *pwi = wi.fortran_vec ();
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127
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128 Array<float> work (dim_vector (lwork, 1));
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129 float *pwork = work.fortran_vec ();
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130
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131 // BWORK is not referenced for the non-ordered Schur routine.
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132 octave_idx_type ntmp = (ord_char == 'N' || ord_char == 'n') ? 0 : n;
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133 Array<octave_idx_type> bwork (dim_vector (ntmp, 1));
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134 octave_idx_type *pbwork = bwork.fortran_vec ();
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135
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136 Array<octave_idx_type> iwork (dim_vector (liwork, 1));
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137 octave_idx_type *piwork = iwork.fortran_vec ();
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138
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139 F77_XFCN (sgeesx, SGEESX, (F77_CONST_CHAR_ARG2 (&jobvs, 1),
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140 F77_CONST_CHAR_ARG2 (&sort, 1),
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141 selector,
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142 F77_CONST_CHAR_ARG2 (&sense, 1),
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143 n, s, n, sdim, pwr, pwi, q, n, rconde, rcondv,
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144 pwork, lwork, piwork, liwork, pbwork, info
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145 F77_CHAR_ARG_LEN (1)
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146 F77_CHAR_ARG_LEN (1)
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147 F77_CHAR_ARG_LEN (1)));
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148
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149 return info;
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150 }
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151
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152 FloatSCHUR::FloatSCHUR (const FloatMatrix& s, const FloatMatrix& u)
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153 : schur_mat (s), unitary_mat (u), selector (0)
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154 {
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155 octave_idx_type n = s.rows ();
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156 if (s.columns () != n || u.rows () != n || u.columns () != n)
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157 (*current_liboctave_error_handler)
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158 ("schur: inconsistent matrix dimensions");
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159 }
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160
7789
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161 std::ostream&
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162 operator << (std::ostream& os, const FloatSCHUR& a)
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163 {
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164 os << a.schur_matrix () << "\n";
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165 os << a.unitary_matrix () << "\n";
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166
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167 return os;
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168 }