annotate liboctave/fCmplxSVD.cc @ 10843:229675bb7647 ss-3-3-52

version is now 3.3.52
author John W. Eaton <jwe@octave.org>
date Sun, 01 Aug 2010 11:49:45 -0400
parents 3ce0c530a9c9
children 8a5e980da6aa
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1 /*
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2
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3 Copyright (C) 1994, 1995, 1996, 1997, 1999, 2002, 2003, 2004, 2005,
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4 2007, 2008 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 "fCmplxSVD.h"
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29 #include "f77-fcn.h"
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30 #include "lo-error.h"
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31 #include "oct-locbuf.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 (cgesvd, CGESVD) (F77_CONST_CHAR_ARG_DECL,
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37 F77_CONST_CHAR_ARG_DECL,
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38 const octave_idx_type&, const octave_idx_type&, FloatComplex*,
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39 const octave_idx_type&, float*, FloatComplex*, const octave_idx_type&,
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40 FloatComplex*, const octave_idx_type&, FloatComplex*, const octave_idx_type&,
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41 float*, octave_idx_type&
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42 F77_CHAR_ARG_LEN_DECL
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43 F77_CHAR_ARG_LEN_DECL);
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44
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45 F77_RET_T
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46 F77_FUNC (cgesdd, CGESDD) (F77_CONST_CHAR_ARG_DECL,
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47 const octave_idx_type&, const octave_idx_type&, FloatComplex*,
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48 const octave_idx_type&, float*, FloatComplex*, const octave_idx_type&,
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49 FloatComplex*, const octave_idx_type&, FloatComplex*, const octave_idx_type&,
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50 float*, octave_idx_type *, octave_idx_type&
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51 F77_CHAR_ARG_LEN_DECL);
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52 }
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53
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54 FloatComplexMatrix
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55 FloatComplexSVD::left_singular_matrix (void) const
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56 {
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57 if (type_computed == SVD::sigma_only)
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58 {
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59 (*current_liboctave_error_handler)
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60 ("FloatComplexSVD: U not computed because type == SVD::sigma_only");
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61 return FloatComplexMatrix ();
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62 }
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63 else
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64 return left_sm;
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65 }
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66
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67 FloatComplexMatrix
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68 FloatComplexSVD::right_singular_matrix (void) const
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69 {
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70 if (type_computed == SVD::sigma_only)
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71 {
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72 (*current_liboctave_error_handler)
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73 ("FloatComplexSVD: V not computed because type == SVD::sigma_only");
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74 return FloatComplexMatrix ();
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75 }
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76 else
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77 return right_sm;
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78 }
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79
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80 octave_idx_type
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81 FloatComplexSVD::init (const FloatComplexMatrix& a, SVD::type svd_type, SVD::driver svd_driver)
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82 {
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83 octave_idx_type info;
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84
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85 octave_idx_type m = a.rows ();
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86 octave_idx_type n = a.cols ();
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87
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88 FloatComplexMatrix atmp = a;
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89 FloatComplex *tmp_data = atmp.fortran_vec ();
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90
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91 octave_idx_type min_mn = m < n ? m : n;
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92 octave_idx_type max_mn = m > n ? m : n;
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93
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94 char jobu = 'A';
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95 char jobv = 'A';
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96
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97 octave_idx_type ncol_u = m;
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98 octave_idx_type nrow_vt = n;
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99 octave_idx_type nrow_s = m;
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100 octave_idx_type ncol_s = n;
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101
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102 switch (svd_type)
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103 {
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104 case SVD::economy:
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105 jobu = jobv = 'S';
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106 ncol_u = nrow_vt = nrow_s = ncol_s = min_mn;
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107 break;
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108
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109 case SVD::sigma_only:
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110
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111 // Note: for this case, both jobu and jobv should be 'N', but
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112 // there seems to be a bug in dgesvd from Lapack V2.0. To
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113 // demonstrate the bug, set both jobu and jobv to 'N' and find
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114 // the singular values of [eye(3), eye(3)]. The result is
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115 // [-sqrt(2), -sqrt(2), -sqrt(2)].
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116 //
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117 // For Lapack 3.0, this problem seems to be fixed.
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118
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119 jobu = 'N';
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120 jobv = 'N';
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121 ncol_u = nrow_vt = 1;
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122 break;
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123
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124 default:
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125 break;
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126 }
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127
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128 type_computed = svd_type;
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129
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130 if (! (jobu == 'N' || jobu == 'O'))
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131 left_sm.resize (m, ncol_u);
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132
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133 FloatComplex *u = left_sm.fortran_vec ();
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134
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135 sigma.resize (nrow_s, ncol_s);
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136 float *s_vec = sigma.fortran_vec ();
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137
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138 if (! (jobv == 'N' || jobv == 'O'))
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139 right_sm.resize (nrow_vt, n);
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140
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141 FloatComplex *vt = right_sm.fortran_vec ();
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142
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143 octave_idx_type lrwork = 5*max_mn;
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144
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145 Array<float> rwork (lrwork, 1);
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146
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147 // Ask ZGESVD what the dimension of WORK should be.
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148
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149 octave_idx_type lwork = -1;
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150
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151 Array<FloatComplex> work (1, 1);
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152
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153 octave_idx_type one = 1;
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154 octave_idx_type m1 = std::max (m, one), nrow_vt1 = std::max (nrow_vt, one);
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155
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156 if (svd_driver == SVD::GESVD)
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157 {
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158 F77_XFCN (cgesvd, CGESVD, (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, m1, s_vec, u, m1, vt,
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161 nrow_vt1, 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 lwork = static_cast<octave_idx_type> (work(0).real ());
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167 work.resize (lwork, 1);
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168
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169 F77_XFCN (cgesvd, CGESVD, (F77_CONST_CHAR_ARG2 (&jobu, 1),
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170 F77_CONST_CHAR_ARG2 (&jobv, 1),
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171 m, n, tmp_data, m1, s_vec, u, m1, vt,
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172 nrow_vt1, work.fortran_vec (), lwork,
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173 rwork.fortran_vec (), info
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174 F77_CHAR_ARG_LEN (1)
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175 F77_CHAR_ARG_LEN (1)));
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176 }
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177 else if (svd_driver == SVD::GESDD)
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178 {
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179 assert (jobu == jobv);
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180 char jobz = jobu;
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181 OCTAVE_LOCAL_BUFFER (octave_idx_type, iwork, 8*min_mn);
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182
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183 F77_XFCN (cgesdd, CGESDD, (F77_CONST_CHAR_ARG2 (&jobz, 1),
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184 m, n, tmp_data, m1, s_vec, u, m1, vt,
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185 nrow_vt1, work.fortran_vec (), lwork,
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186 rwork.fortran_vec (), iwork, info
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187 F77_CHAR_ARG_LEN (1)));
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188
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189 lwork = static_cast<octave_idx_type> (work(0).real ());
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190 work.resize (lwork, 1);
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191
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192 F77_XFCN (cgesdd, CGESDD, (F77_CONST_CHAR_ARG2 (&jobz, 1),
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193 m, n, tmp_data, m1, s_vec, u, m1, vt,
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194 nrow_vt1, work.fortran_vec (), lwork,
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195 rwork.fortran_vec (), iwork, info
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196 F77_CHAR_ARG_LEN (1)));
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197 }
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198 else
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199 assert (0); // impossible
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200
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201 if (! (jobv == 'N' || jobv == 'O'))
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202 right_sm = right_sm.hermitian ();
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203
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204 return info;
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205 }