annotate liboctave/fCmplxSVD.cc @ 12312:b10ea6efdc58 release-3-4-x ss-3-3-91

version is now 3.3.91
author John W. Eaton <jwe@octave.org>
date Mon, 31 Jan 2011 08:36:58 -0500
parents a83bad07f7e3
children 72c96de7a403
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1 /*
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2
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3 Copyright (C) 1994-2011 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 "fCmplxSVD.h"
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28 #include "f77-fcn.h"
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29 #include "lo-error.h"
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30 #include "oct-locbuf.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 (cgesvd, CGESVD) (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&,
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38 FloatComplex*, const octave_idx_type&, float*,
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39 FloatComplex*, const octave_idx_type&,
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40 FloatComplex*, const octave_idx_type&,
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41 FloatComplex*, const octave_idx_type&,
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42 float*, octave_idx_type&
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43 F77_CHAR_ARG_LEN_DECL
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44 F77_CHAR_ARG_LEN_DECL);
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45
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46 F77_RET_T
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47 F77_FUNC (cgesdd, CGESDD) (F77_CONST_CHAR_ARG_DECL,
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48 const octave_idx_type&, const octave_idx_type&,
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49 FloatComplex*, const octave_idx_type&, float*,
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50 FloatComplex*, const octave_idx_type&,
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51 FloatComplex*, const octave_idx_type&,
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52 FloatComplex*, const octave_idx_type&,
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53 float*, octave_idx_type *, octave_idx_type&
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54 F77_CHAR_ARG_LEN_DECL);
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55 }
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56
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57 FloatComplexMatrix
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58 FloatComplexSVD::left_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 ("FloatComplexSVD: U not computed because type == SVD::sigma_only");
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64 return FloatComplexMatrix ();
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65 }
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66 else
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67 return left_sm;
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68 }
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69
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70 FloatComplexMatrix
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71 FloatComplexSVD::right_singular_matrix (void) const
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72 {
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73 if (type_computed == SVD::sigma_only)
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74 {
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75 (*current_liboctave_error_handler)
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76 ("FloatComplexSVD: V not computed because type == SVD::sigma_only");
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77 return FloatComplexMatrix ();
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78 }
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79 else
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80 return right_sm;
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81 }
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82
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83 octave_idx_type
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84 FloatComplexSVD::init (const FloatComplexMatrix& a, SVD::type svd_type,
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85 SVD::driver svd_driver)
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86 {
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87 octave_idx_type info;
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88
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89 octave_idx_type m = a.rows ();
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90 octave_idx_type n = a.cols ();
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91
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92 FloatComplexMatrix atmp = a;
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93 FloatComplex *tmp_data = atmp.fortran_vec ();
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94
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95 octave_idx_type min_mn = m < n ? m : n;
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96 octave_idx_type max_mn = m > n ? m : n;
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97
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98 char jobu = 'A';
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99 char jobv = 'A';
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100
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101 octave_idx_type ncol_u = m;
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102 octave_idx_type nrow_vt = n;
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103 octave_idx_type nrow_s = m;
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104 octave_idx_type ncol_s = n;
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105
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106 switch (svd_type)
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107 {
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108 case SVD::economy:
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109 jobu = jobv = 'S';
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110 ncol_u = nrow_vt = nrow_s = ncol_s = min_mn;
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111 break;
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112
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113 case SVD::sigma_only:
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114
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115 // Note: for this case, both jobu and jobv should be 'N', but
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116 // there seems to be a bug in dgesvd from Lapack V2.0. To
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117 // demonstrate the bug, set both jobu and jobv to 'N' and find
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118 // the singular values of [eye(3), eye(3)]. The result is
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119 // [-sqrt(2), -sqrt(2), -sqrt(2)].
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120 //
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121 // For Lapack 3.0, this problem seems to be fixed.
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122
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123 jobu = 'N';
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124 jobv = 'N';
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125 ncol_u = nrow_vt = 1;
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126 break;
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127
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128 default:
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129 break;
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130 }
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131
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132 type_computed = svd_type;
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133
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134 if (! (jobu == 'N' || jobu == 'O'))
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135 left_sm.resize (m, ncol_u);
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136
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137 FloatComplex *u = left_sm.fortran_vec ();
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138
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139 sigma.resize (nrow_s, ncol_s);
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140 float *s_vec = sigma.fortran_vec ();
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141
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142 if (! (jobv == 'N' || jobv == 'O'))
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143 right_sm.resize (nrow_vt, n);
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144
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145 FloatComplex *vt = right_sm.fortran_vec ();
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146
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147 octave_idx_type lrwork = 5*max_mn;
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148
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149 Array<float> rwork (dim_vector (lrwork, 1));
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150
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151 // Ask ZGESVD what the dimension of WORK should be.
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152
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153 octave_idx_type lwork = -1;
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154
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155 Array<FloatComplex> work (dim_vector (1, 1));
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156
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157 octave_idx_type one = 1;
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158 octave_idx_type m1 = std::max (m, one), nrow_vt1 = std::max (nrow_vt, one);
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159
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160 if (svd_driver == SVD::GESVD)
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161 {
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162 F77_XFCN (cgesvd, CGESVD, (F77_CONST_CHAR_ARG2 (&jobu, 1),
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163 F77_CONST_CHAR_ARG2 (&jobv, 1),
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164 m, n, tmp_data, m1, s_vec, u, m1, vt,
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165 nrow_vt1, work.fortran_vec (), lwork,
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166 rwork.fortran_vec (), info
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167 F77_CHAR_ARG_LEN (1)
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168 F77_CHAR_ARG_LEN (1)));
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169
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170 lwork = static_cast<octave_idx_type> (work(0).real ());
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171 work.resize (dim_vector (lwork, 1));
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172
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173 F77_XFCN (cgesvd, CGESVD, (F77_CONST_CHAR_ARG2 (&jobu, 1),
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174 F77_CONST_CHAR_ARG2 (&jobv, 1),
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175 m, n, tmp_data, m1, s_vec, u, m1, vt,
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176 nrow_vt1, work.fortran_vec (), lwork,
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177 rwork.fortran_vec (), info
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178 F77_CHAR_ARG_LEN (1)
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179 F77_CHAR_ARG_LEN (1)));
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180 }
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181 else if (svd_driver == SVD::GESDD)
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182 {
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183 assert (jobu == jobv);
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184 char jobz = jobu;
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185 OCTAVE_LOCAL_BUFFER (octave_idx_type, iwork, 8*min_mn);
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186
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187 F77_XFCN (cgesdd, CGESDD, (F77_CONST_CHAR_ARG2 (&jobz, 1),
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188 m, n, tmp_data, m1, s_vec, u, m1, vt,
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189 nrow_vt1, work.fortran_vec (), lwork,
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190 rwork.fortran_vec (), iwork, info
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191 F77_CHAR_ARG_LEN (1)));
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192
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193 lwork = static_cast<octave_idx_type> (work(0).real ());
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194 work.resize (dim_vector (lwork, 1));
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195
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196 F77_XFCN (cgesdd, CGESDD, (F77_CONST_CHAR_ARG2 (&jobz, 1),
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197 m, n, tmp_data, m1, s_vec, u, m1, vt,
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198 nrow_vt1, work.fortran_vec (), lwork,
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199 rwork.fortran_vec (), iwork, info
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200 F77_CHAR_ARG_LEN (1)));
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201 }
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202 else
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203 assert (0); // impossible
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204
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205 if (! (jobv == 'N' || jobv == 'O'))
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206 right_sm = right_sm.hermitian ();
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207
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208 return info;
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209 }