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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 "dbleSVD.h" |
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30 #include "f77-fcn.h" |
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31 |
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32 extern "C" |
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33 { |
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34 F77_RET_T |
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35 F77_FUNC (dgesvd, DGESVD) (F77_CONST_CHAR_ARG_DECL, |
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36 F77_CONST_CHAR_ARG_DECL, |
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37 const octave_idx_type&, const octave_idx_type&, double*, |
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38 const octave_idx_type&, double*, double*, |
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39 const octave_idx_type&, double*, const octave_idx_type&, |
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40 double*, const octave_idx_type&, octave_idx_type& |
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41 F77_CHAR_ARG_LEN_DECL |
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42 F77_CHAR_ARG_LEN_DECL); |
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43 } |
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44 |
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45 Matrix |
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46 SVD::left_singular_matrix (void) const |
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47 { |
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48 if (type_computed == SVD::sigma_only) |
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49 { |
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50 (*current_liboctave_error_handler) |
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51 ("ComplexSVD: U not computed because type == SVD::sigma_only"); |
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52 return Matrix (); |
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53 } |
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54 else |
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55 return left_sm; |
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56 } |
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57 |
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58 Matrix |
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59 SVD::right_singular_matrix (void) const |
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60 { |
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61 if (type_computed == SVD::sigma_only) |
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62 { |
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63 (*current_liboctave_error_handler) |
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64 ("ComplexSVD: V not computed because type == SVD::sigma_only"); |
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65 return Matrix (); |
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66 } |
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67 else |
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68 return right_sm; |
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69 } |
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70 |
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71 octave_idx_type |
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72 SVD::init (const Matrix& a, SVD::type svd_type) |
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73 { |
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74 octave_idx_type info; |
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75 |
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76 octave_idx_type m = a.rows (); |
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77 octave_idx_type n = a.cols (); |
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78 |
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79 Matrix atmp = a; |
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80 double *tmp_data = atmp.fortran_vec (); |
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81 |
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82 octave_idx_type min_mn = m < n ? m : n; |
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83 |
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84 char jobu = 'A'; |
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85 char jobv = 'A'; |
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86 |
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87 octave_idx_type ncol_u = m; |
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88 octave_idx_type nrow_vt = n; |
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89 octave_idx_type nrow_s = m; |
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90 octave_idx_type ncol_s = n; |
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91 |
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92 switch (svd_type) |
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93 { |
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94 case SVD::economy: |
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95 jobu = jobv = 'S'; |
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96 ncol_u = nrow_vt = nrow_s = ncol_s = min_mn; |
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97 break; |
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98 |
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99 case SVD::sigma_only: |
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100 |
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101 // Note: for this case, both jobu and jobv should be 'N', but |
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102 // there seems to be a bug in dgesvd from Lapack V2.0. To |
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103 // demonstrate the bug, set both jobu and jobv to 'N' and find |
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104 // the singular values of [eye(3), eye(3)]. The result is |
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105 // [-sqrt(2), -sqrt(2), -sqrt(2)]. |
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106 // |
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107 // For Lapack 3.0, this problem seems to be fixed. |
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108 |
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109 jobu = 'N'; |
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110 jobv = 'N'; |
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111 ncol_u = nrow_vt = 1; |
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112 break; |
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113 |
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114 default: |
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115 break; |
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116 } |
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117 |
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118 type_computed = svd_type; |
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119 |
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120 if (! (jobu == 'N' || jobu == 'O')) |
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121 left_sm.resize (m, ncol_u); |
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122 |
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123 double *u = left_sm.fortran_vec (); |
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124 |
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125 sigma.resize (nrow_s, ncol_s); |
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126 double *s_vec = sigma.fortran_vec (); |
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127 |
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128 if (! (jobv == 'N' || jobv == 'O')) |
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129 right_sm.resize (nrow_vt, n); |
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130 |
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131 double *vt = right_sm.fortran_vec (); |
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132 |
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133 // Ask DGESVD what the dimension of WORK should be. |
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134 |
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135 octave_idx_type lwork = -1; |
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136 |
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137 Array<double> work (1); |
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138 |
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139 F77_XFCN (dgesvd, DGESVD, (F77_CONST_CHAR_ARG2 (&jobu, 1), |
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140 F77_CONST_CHAR_ARG2 (&jobv, 1), |
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141 m, n, tmp_data, m, s_vec, u, m, vt, |
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142 nrow_vt, work.fortran_vec (), lwork, info |
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143 F77_CHAR_ARG_LEN (1) |
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144 F77_CHAR_ARG_LEN (1))); |
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145 |
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146 if (f77_exception_encountered) |
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147 (*current_liboctave_error_handler) ("unrecoverable error in dgesvd"); |
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148 else |
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149 { |
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150 lwork = static_cast<octave_idx_type> (work(0)); |
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151 work.resize (lwork); |
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152 |
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153 F77_XFCN (dgesvd, DGESVD, (F77_CONST_CHAR_ARG2 (&jobu, 1), |
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154 F77_CONST_CHAR_ARG2 (&jobv, 1), |
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155 m, n, tmp_data, m, s_vec, u, m, vt, |
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156 nrow_vt, work.fortran_vec (), lwork, info |
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157 F77_CHAR_ARG_LEN (1) |
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158 F77_CHAR_ARG_LEN (1))); |
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159 |
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160 if (f77_exception_encountered) |
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161 (*current_liboctave_error_handler) ("unrecoverable error in dgesvd"); |
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162 else |
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163 { |
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164 if (! (jobv == 'N' || jobv == 'O')) |
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165 right_sm = right_sm.transpose (); |
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166 } |
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167 } |
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168 |
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169 return info; |
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170 } |
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171 |
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172 std::ostream& |
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173 operator << (std::ostream& os, const SVD& a) |
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174 { |
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175 os << a.left_singular_matrix () << "\n"; |
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176 os << a.singular_values () << "\n"; |
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177 os << a.right_singular_matrix () << "\n"; |
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178 |
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179 return os; |
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180 } |
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181 |
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182 /* |
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183 ;;; Local Variables: *** |
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184 ;;; mode: C++ *** |
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185 ;;; End: *** |
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186 */ |
