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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 2, or (at your option) any |
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10 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, write to the Free |
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19 Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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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 "CmplxSVD.h" |
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28 #include "f77-fcn.h" |
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29 #include "lo-error.h" |
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30 |
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31 extern "C" |
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32 { |
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33 F77_RET_T |
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34 F77_FUNC (zgesvd, ZGESVD) (F77_CONST_CHAR_ARG_DECL, |
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35 F77_CONST_CHAR_ARG_DECL, |
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36 const int&, const int&, Complex*, |
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37 const int&, double*, Complex*, const int&, |
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38 Complex*, const int&, Complex*, const int&, |
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39 double*, int& |
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40 F77_CHAR_ARG_LEN_DECL |
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41 F77_CHAR_ARG_LEN_DECL); |
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42 } |
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43 |
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44 ComplexMatrix |
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45 ComplexSVD::left_singular_matrix (void) const |
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46 { |
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47 if (type_computed == SVD::sigma_only) |
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48 { |
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49 (*current_liboctave_error_handler) |
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50 ("ComplexSVD: U not computed because type == SVD::sigma_only"); |
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51 return ComplexMatrix (); |
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52 } |
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53 else |
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54 return left_sm; |
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55 } |
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56 |
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57 ComplexMatrix |
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58 ComplexSVD::right_singular_matrix (void) const |
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59 { |
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60 if (type_computed == SVD::sigma_only) |
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61 { |
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62 (*current_liboctave_error_handler) |
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63 ("ComplexSVD: V not computed because type == SVD::sigma_only"); |
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64 return ComplexMatrix (); |
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65 } |
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66 else |
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67 return right_sm; |
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68 } |
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69 |
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70 int |
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71 ComplexSVD::init (const ComplexMatrix& a, SVD::type svd_type) |
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72 { |
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73 int info; |
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74 |
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75 int m = a.rows (); |
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76 int n = a.cols (); |
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77 |
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78 ComplexMatrix atmp = a; |
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79 Complex *tmp_data = atmp.fortran_vec (); |
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80 |
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81 int min_mn = m < n ? m : n; |
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82 int max_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 int ncol_u = m; |
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88 int nrow_vt = n; |
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89 int nrow_s = m; |
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90 int 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 Complex *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 Complex *vt = right_sm.fortran_vec (); |
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132 |
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133 int lrwork = 5*max_mn; |
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134 |
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135 Array<double> rwork (lrwork); |
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136 |
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137 // Ask ZGESVD what the dimension of WORK should be. |
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138 |
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139 int lwork = -1; |
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140 |
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141 Array<Complex> work (1); |
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142 |
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143 F77_XFCN (zgesvd, ZGESVD, (F77_CONST_CHAR_ARG2 (&jobu, 1), |
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144 F77_CONST_CHAR_ARG2 (&jobv, 1), |
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145 m, n, tmp_data, m, s_vec, u, m, vt, |
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146 nrow_vt, work.fortran_vec (), lwork, |
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147 rwork.fortran_vec (), info |
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148 F77_CHAR_ARG_LEN (1) |
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149 F77_CHAR_ARG_LEN (1))); |
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150 |
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151 if (f77_exception_encountered) |
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152 (*current_liboctave_error_handler) ("unrecoverable error in zgesvd"); |
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153 else |
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154 { |
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155 lwork = static_cast<int> (work(0).real ()); |
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156 work.resize (lwork); |
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157 |
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158 F77_XFCN (zgesvd, ZGESVD, (F77_CONST_CHAR_ARG2 (&jobu, 1), |
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159 F77_CONST_CHAR_ARG2 (&jobv, 1), |
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160 m, n, tmp_data, m, s_vec, u, m, vt, |
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161 nrow_vt, work.fortran_vec (), lwork, |
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162 rwork.fortran_vec (), info |
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163 F77_CHAR_ARG_LEN (1) |
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164 F77_CHAR_ARG_LEN (1))); |
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165 |
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166 if (f77_exception_encountered) |
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167 (*current_liboctave_error_handler) ("unrecoverable error in zgesvd"); |
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168 else |
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169 { |
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170 if (! (jobv == 'N' || jobv == 'O')) |
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171 right_sm = right_sm.hermitian (); |
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172 } |
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173 } |
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174 |
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175 return info; |
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176 } |
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177 |
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178 /* |
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179 ;;; Local Variables: *** |
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180 ;;; mode: C++ *** |
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181 ;;; End: *** |
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182 */ |
