Mercurial > octave
annotate liboctave/numeric/svd.cc @ 29416:3f45f5b6fa7f
svd.cc: Use std::max<F77_INT> for Fortran integers (bug #55727).
* liboctave/numeric/svd.cc (gejsv_lwork<T>::optimal, svd<T>::svd): Use
std::max<F77_INT> for Fortran integers.
author | Markus Mützel <markus.muetzel@gmx.de> |
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date | Tue, 09 Mar 2021 20:15:27 +0100 |
parents | 9b6bf68ea663 |
children | 9245ae55b6bd |
rev | line source |
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1 //////////////////////////////////////////////////////////////////////// |
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2 // |
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3 // Copyright (C) 1994-2021 The Octave Project Developers |
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4 // |
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5 // See the file COPYRIGHT.md in the top-level directory of this |
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6 // distribution or <https://octave.org/copyright/>. |
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7 // |
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8 // This file is part of Octave. |
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9 // |
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10 // Octave is free software: you can redistribute it and/or modify it |
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11 // under the terms of the GNU General Public License as published by |
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12 // the Free Software Foundation, either version 3 of the License, or |
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13 // (at your option) any later version. |
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14 // |
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15 // Octave is distributed in the hope that it will be useful, but |
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16 // WITHOUT ANY WARRANTY; without even the implied warranty of |
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17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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18 // GNU General Public License for more details. |
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19 // |
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20 // You should have received a copy of the GNU General Public License |
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21 // along with Octave; see the file COPYING. If not, see |
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22 // <https://www.gnu.org/licenses/>. |
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23 // |
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24 //////////////////////////////////////////////////////////////////////// |
457 | 25 |
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26 #if defined (HAVE_CONFIG_H) |
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27 # include "config.h" |
457 | 28 #endif |
29 | |
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30 #include <cassert> |
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31 |
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32 #include <algorithm> |
1631 | 33 |
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34 #include "CMatrix.h" |
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35 #include "dDiagMatrix.h" |
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36 #include "dMatrix.h" |
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37 #include "fCMatrix.h" |
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38 #include "fDiagMatrix.h" |
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39 #include "fMatrix.h" |
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40 #include "lo-error.h" |
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41 #include "lo-lapack-proto.h" |
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42 #include "svd.h" |
457 | 43 |
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44 // class to compute optimal work space size (lwork) for DGEJSV and SGEJSV |
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45 template<typename T> |
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46 class |
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47 gejsv_lwork |
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48 { |
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49 public: |
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50 gejsv_lwork () = delete; |
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51 |
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52 // Unfortunately, dgejsv and sgejsv do not provide estimation of 'lwork'. |
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53 // Thus, we have to estimate it according to corresponding LAPACK |
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54 // documentation and related source codes (e.g. cgejsv). |
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55 // In LAPACKE (C interface to LAPACK), the memory handling code in |
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56 // LAPACKE_dgejsv() (lapacke_dgejsv.c, last visit 2019-02-17) uses |
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57 // the minimum required working space. In contrast, here the optimal |
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58 // working space size is computed, at the cost of much longer code. |
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59 |
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60 static F77_INT optimal (char& joba, char& jobu, char& jobv, |
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61 F77_INT m, F77_INT n); |
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62 |
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63 private: |
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64 typedef typename T::element_type P; |
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65 |
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66 // functions could be called from GEJSV |
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67 static F77_INT geqp3_lwork (F77_INT m, F77_INT n, |
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68 P *a, F77_INT lda, |
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69 F77_INT* jpvt, P *tau, P *work, |
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70 F77_INT lwork, F77_INT& info); |
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71 |
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72 static F77_INT geqrf_lwork (F77_INT m, F77_INT n, |
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73 P *a, F77_INT lda, |
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74 P *tau, P *work, |
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75 F77_INT lwork, F77_INT& info); |
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76 |
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77 static F77_INT gelqf_lwork (F77_INT m, F77_INT n, |
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78 P *a, F77_INT lda, |
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79 P *tau, P *work, |
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80 F77_INT lwork, F77_INT& info); |
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81 |
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82 static F77_INT ormlq_lwork (char& side, char& trans, |
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83 F77_INT m, F77_INT n, F77_INT k, |
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84 P *a, F77_INT lda, |
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85 P *tau, P *c, F77_INT ldc, |
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86 P *work, F77_INT lwork, F77_INT& info); |
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87 |
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88 static F77_INT ormqr_lwork (char& side, char& trans, |
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89 F77_INT m, F77_INT n, F77_INT k, |
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90 P *a, F77_INT lda, |
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91 P *tau, P *c, F77_INT ldc, |
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92 P *work, F77_INT lwork, F77_INT& info); |
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93 }; |
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94 |
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95 #define GEJSV_REAL_QP3_LWORK(f, F) \ |
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96 F77_XFCN (f, F, (m, n, a, lda, jpvt, \ |
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97 tau, work, lwork, info)) |
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98 |
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99 #define GEJSV_REAL_QR_LWORK(f, F) \ |
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100 F77_XFCN (f, F, (m, n, a, lda, \ |
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101 tau, work, lwork, info)) |
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102 |
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103 #define GEJSV_REAL_ORM_LWORK(f, F) \ |
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104 F77_XFCN (f, F, (F77_CONST_CHAR_ARG2 (&side, 1), \ |
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105 F77_CONST_CHAR_ARG2 (&trans, 1), \ |
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106 m, n, k, a, lda, tau, \ |
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107 c, ldc, work, lwork, info \ |
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108 F77_CHAR_ARG_LEN (1) \ |
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109 F77_CHAR_ARG_LEN (1))) |
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110 |
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111 // For Matrix |
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112 template<> |
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113 F77_INT |
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114 gejsv_lwork<Matrix>::geqp3_lwork (F77_INT m, F77_INT n, |
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115 P *a, F77_INT lda, |
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116 F77_INT* jpvt, P *tau, P *work, |
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117 F77_INT lwork, F77_INT& info) |
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118 { |
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119 GEJSV_REAL_QP3_LWORK (dgeqp3, DGEQP3); |
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120 return static_cast<F77_INT> (work[0]); |
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121 } |
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122 |
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123 template<> |
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124 F77_INT |
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125 gejsv_lwork<Matrix>::geqrf_lwork (F77_INT m, F77_INT n, |
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126 P *a, F77_INT lda, |
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127 P *tau, P *work, |
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128 F77_INT lwork, F77_INT& info) |
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129 { |
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130 GEJSV_REAL_QR_LWORK (dgeqrf, DGEQRF); |
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131 return static_cast<F77_INT> (work[0]); |
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132 } |
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133 |
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134 template<> |
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135 F77_INT |
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136 gejsv_lwork<Matrix>::gelqf_lwork (F77_INT m, F77_INT n, |
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137 P *a, F77_INT lda, |
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138 P *tau, P *work, |
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139 F77_INT lwork, F77_INT& info) |
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140 { |
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141 GEJSV_REAL_QR_LWORK (dgelqf, DGELQF); |
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142 return static_cast<F77_INT> (work[0]); |
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143 } |
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144 |
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145 template<> |
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146 F77_INT |
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147 gejsv_lwork<Matrix>::ormlq_lwork (char& side, char& trans, |
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148 F77_INT m, F77_INT n, F77_INT k, |
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149 P *a, F77_INT lda, |
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150 P *tau, P *c, F77_INT ldc, |
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151 P *work, F77_INT lwork, F77_INT& info) |
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152 { |
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153 GEJSV_REAL_ORM_LWORK (dormlq, DORMLQ); |
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154 return static_cast<F77_INT> (work[0]); |
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155 } |
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156 |
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157 template<> |
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158 F77_INT |
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159 gejsv_lwork<Matrix>::ormqr_lwork (char& side, char& trans, |
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160 F77_INT m, F77_INT n, F77_INT k, |
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161 P *a, F77_INT lda, |
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162 P *tau, P *c, F77_INT ldc, |
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163 P *work, F77_INT lwork, F77_INT& info) |
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164 { |
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165 GEJSV_REAL_ORM_LWORK (dormqr, DORMQR); |
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166 return static_cast<F77_INT> (work[0]); |
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167 } |
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168 |
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169 // For FloatMatrix |
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170 template<> |
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171 F77_INT |
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172 gejsv_lwork<FloatMatrix>::geqp3_lwork (F77_INT m, F77_INT n, |
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173 P *a, F77_INT lda, |
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174 F77_INT* jpvt, P *tau, P *work, |
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175 F77_INT lwork, F77_INT& info) |
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176 { |
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177 GEJSV_REAL_QP3_LWORK (sgeqp3, SGEQP3); |
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178 return static_cast<F77_INT> (work[0]); |
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179 } |
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180 |
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181 template<> |
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182 F77_INT |
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183 gejsv_lwork<FloatMatrix>::geqrf_lwork (F77_INT m, F77_INT n, |
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184 P *a, F77_INT lda, |
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185 P *tau, P *work, |
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186 F77_INT lwork, F77_INT& info) |
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187 { |
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188 GEJSV_REAL_QR_LWORK (sgeqrf, SGEQRF); |
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189 return static_cast<F77_INT> (work[0]); |
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190 } |
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191 |
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192 template<> |
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193 F77_INT |
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194 gejsv_lwork<FloatMatrix>::gelqf_lwork (F77_INT m, F77_INT n, |
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195 P *a, F77_INT lda, |
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196 P *tau, P *work, |
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197 F77_INT lwork, F77_INT& info) |
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198 { |
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199 GEJSV_REAL_QR_LWORK (sgelqf, SGELQF); |
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200 return static_cast<F77_INT> (work[0]); |
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201 } |
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202 |
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203 template<> |
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204 F77_INT |
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205 gejsv_lwork<FloatMatrix>::ormlq_lwork (char& side, char& trans, |
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206 F77_INT m, F77_INT n, F77_INT k, |
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207 P *a, F77_INT lda, |
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208 P *tau, P *c, F77_INT ldc, |
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209 P *work, F77_INT lwork, F77_INT& info) |
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210 { |
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211 GEJSV_REAL_ORM_LWORK (sormlq, SORMLQ); |
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212 return static_cast<F77_INT> (work[0]); |
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213 } |
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214 |
9b6bf68ea663
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215 template<> |
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216 F77_INT |
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217 gejsv_lwork<FloatMatrix>::ormqr_lwork (char& side, char& trans, |
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218 F77_INT m, F77_INT n, F77_INT k, |
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219 P *a, F77_INT lda, |
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220 P *tau, P *c, F77_INT ldc, |
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221 P *work, F77_INT lwork, F77_INT& info) |
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222 { |
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223 GEJSV_REAL_ORM_LWORK (sormqr, SORMQR); |
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224 return static_cast<F77_INT> (work[0]); |
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225 } |
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226 |
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227 #undef GEJSV_REAL_QP3_LWORK |
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228 #undef GEJSV_REAL_QR_LWORK |
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229 #undef GEJSV_REAL_ORM_LWORK |
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230 |
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231 template<typename T> |
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232 F77_INT |
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233 gejsv_lwork<T>::optimal (char& joba, char& jobu, char& jobv, |
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234 F77_INT m, F77_INT n) |
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235 { |
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236 F77_INT lwork = -1; |
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237 std::vector<P> work (2); // dummy work space |
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238 |
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239 // variables that mimic running environment of gejsv |
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240 F77_INT lda = std::max<F77_INT> (m, 1); |
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241 F77_INT ierr = 0; |
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242 char side = 'L'; |
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243 char trans = 'N'; |
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244 std::vector<P> mat_a (1); |
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245 P *a = mat_a.data (); // dummy input matrix |
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246 std::vector<F77_INT> vec_jpvt = {0}; |
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247 P *tau = work.data (); |
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248 P *u = work.data (); |
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249 P *v = work.data (); |
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250 |
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251 bool need_lsvec = jobu == 'U' || jobu == 'F'; |
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252 bool need_rsvec = jobv == 'V' || jobv == 'J'; |
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253 |
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254 F77_INT lw_pocon = 3 * n; // for [s,d]pocon |
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255 F77_INT lw_geqp3 = geqp3_lwork (m, n, a, lda, vec_jpvt.data (), |
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256 tau, work.data (), -1, ierr); |
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257 F77_INT lw_geqrf = geqrf_lwork (m, n, a, lda, |
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258 tau, work.data (), -1, ierr); |
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259 |
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260 if (! (need_lsvec || need_rsvec) ) |
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261 { |
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262 // only SIGMA is needed |
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263 if (! (joba == 'E' || joba == 'G') ) |
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264 lwork = std::max<F77_INT> ({2*m + n, n + lw_geqp3, n + lw_geqrf, 7}); |
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265 else |
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266 lwork = std::max<F77_INT> ({2*m + n, n + lw_geqp3, n + lw_geqrf, |
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267 n + n*n + lw_pocon, 7}); |
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268 } |
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269 else if (need_rsvec && ! need_lsvec) |
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270 { |
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271 // SIGMA and the right singular vectors are needed |
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272 F77_INT lw_gelqf = gelqf_lwork (n, n, a, lda, |
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273 tau, work.data (), -1, ierr); |
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274 trans = 'T'; |
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275 F77_INT lw_ormlq = ormlq_lwork (side, trans, n, n, n, a, lda, |
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276 tau, v, n, work.data (), -1, ierr); |
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277 lwork = std::max<F77_INT> ({2*m + n, n + lw_geqp3, n + lw_pocon, |
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278 n + lw_gelqf, 2*n + lw_geqrf, n + lw_ormlq}); |
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279 } |
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280 else if (need_lsvec && ! need_rsvec) |
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281 { |
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282 // SIGMA and the left singular vectors are needed |
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283 F77_INT n1 = (jobu == 'U') ? n : m; // size of U is m x n1 |
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284 F77_INT lw_ormqr = ormqr_lwork (side, trans, m, n1, n, a, lda, |
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285 tau, u, m, work.data (), -1, ierr); |
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286 lwork = std::max<F77_INT> ({2*m + n, n + lw_geqp3, n + lw_pocon, |
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287 2*n + lw_geqrf, n + lw_ormqr}); |
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288 } |
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289 else // full SVD is needed |
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290 { |
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291 if (jobv == 'V') |
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292 lwork = std::max (2*m + n, 6*n + 2*n*n); |
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293 else if (jobv == 'J') |
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294 lwork = std::max<F77_INT> ({2*m + n, 4*n + n*n, 2*n + n*n + 6}); |
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295 |
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296 F77_INT n1 = (jobu == 'U') ? n : m; // size of U is m x n1 |
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297 F77_INT lw_ormqr = ormqr_lwork (side, trans, m, n1, n, a, lda, |
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298 tau, u, m, work.data (), -1, ierr); |
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299 lwork = std::max (lwork, n + lw_ormqr); |
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300 } |
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301 |
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302 return lwork; |
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303 } |
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304 |
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305 namespace octave |
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306 { |
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307 namespace math |
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308 { |
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309 template <typename T> |
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310 T |
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311 svd<T>::left_singular_matrix (void) const |
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312 { |
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313 if (m_type == svd::Type::sigma_only) |
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314 (*current_liboctave_error_handler) |
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315 ("svd: U not computed because type == svd::sigma_only"); |
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316 |
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317 return left_sm; |
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318 } |
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320 template <typename T> |
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321 T |
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322 svd<T>::right_singular_matrix (void) const |
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323 { |
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324 if (m_type == svd::Type::sigma_only) |
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325 (*current_liboctave_error_handler) |
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326 ("svd: V not computed because type == svd::sigma_only"); |
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327 |
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328 return right_sm; |
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329 } |
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331 // GESVD specializations |
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332 |
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333 #define GESVD_REAL_STEP(f, F) \ |
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334 F77_XFCN (f, F, (F77_CONST_CHAR_ARG2 (&jobu, 1), \ |
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335 F77_CONST_CHAR_ARG2 (&jobv, 1), \ |
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336 m, n, tmp_data, m1, s_vec, u, m1, vt, \ |
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337 nrow_vt1, work.data (), lwork, info \ |
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338 F77_CHAR_ARG_LEN (1) \ |
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339 F77_CHAR_ARG_LEN (1))) |
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340 |
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341 #define GESVD_COMPLEX_STEP(f, F, CMPLX_ARG) \ |
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342 F77_XFCN (f, F, (F77_CONST_CHAR_ARG2 (&jobu, 1), \ |
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343 F77_CONST_CHAR_ARG2 (&jobv, 1), \ |
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344 m, n, CMPLX_ARG (tmp_data), \ |
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345 m1, s_vec, CMPLX_ARG (u), m1, \ |
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346 CMPLX_ARG (vt), nrow_vt1, \ |
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347 CMPLX_ARG (work.data ()), \ |
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348 lwork, rwork.data (), info \ |
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349 F77_CHAR_ARG_LEN (1) \ |
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350 F77_CHAR_ARG_LEN (1))) |
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351 |
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352 // DGESVD |
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353 template<> |
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354 OCTAVE_API void |
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355 svd<Matrix>::gesvd (char& jobu, char& jobv, F77_INT m, F77_INT n, |
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356 double *tmp_data, F77_INT m1, double *s_vec, |
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357 double *u, double *vt, F77_INT nrow_vt1, |
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358 std::vector<double>& work, F77_INT& lwork, |
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359 F77_INT& info) |
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360 { |
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361 GESVD_REAL_STEP (dgesvd, DGESVD); |
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362 |
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363 lwork = static_cast<F77_INT> (work[0]); |
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364 work.reserve (lwork); |
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365 |
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366 GESVD_REAL_STEP (dgesvd, DGESVD); |
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367 } |
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368 |
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369 // SGESVD |
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370 template<> |
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371 OCTAVE_API void |
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372 svd<FloatMatrix>::gesvd (char& jobu, char& jobv, F77_INT m, F77_INT n, |
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373 float *tmp_data, F77_INT m1, float *s_vec, |
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374 float *u, float *vt, F77_INT nrow_vt1, |
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375 std::vector<float>& work, F77_INT& lwork, |
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376 F77_INT& info) |
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377 { |
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378 GESVD_REAL_STEP (sgesvd, SGESVD); |
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379 |
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380 lwork = static_cast<F77_INT> (work[0]); |
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381 work.reserve (lwork); |
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382 |
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383 GESVD_REAL_STEP (sgesvd, SGESVD); |
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384 } |
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385 |
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386 // ZGESVD |
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387 template<> |
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388 OCTAVE_API void |
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389 svd<ComplexMatrix>::gesvd (char& jobu, char& jobv, F77_INT m, F77_INT n, |
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390 Complex *tmp_data, F77_INT m1, double *s_vec, |
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391 Complex *u, Complex *vt, F77_INT nrow_vt1, |
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392 std::vector<Complex>& work, F77_INT& lwork, |
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393 F77_INT& info) |
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394 { |
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395 std::vector<double> rwork (5 * std::max (m, n)); |
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396 |
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397 GESVD_COMPLEX_STEP (zgesvd, ZGESVD, F77_DBLE_CMPLX_ARG); |
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398 |
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399 lwork = static_cast<F77_INT> (work[0].real ()); |
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400 work.reserve (lwork); |
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401 |
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402 GESVD_COMPLEX_STEP (zgesvd, ZGESVD, F77_DBLE_CMPLX_ARG); |
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403 } |
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404 |
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405 // CGESVD |
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406 template<> |
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407 OCTAVE_API void |
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408 svd<FloatComplexMatrix>::gesvd (char& jobu, char& jobv, F77_INT m, |
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409 F77_INT n, FloatComplex *tmp_data, |
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410 F77_INT m1, float *s_vec, FloatComplex *u, |
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411 FloatComplex *vt, F77_INT nrow_vt1, |
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412 std::vector<FloatComplex>& work, |
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413 F77_INT& lwork, F77_INT& info) |
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414 { |
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415 std::vector<float> rwork (5 * std::max (m, n)); |
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416 |
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417 GESVD_COMPLEX_STEP (cgesvd, CGESVD, F77_CMPLX_ARG); |
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418 |
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419 lwork = static_cast<F77_INT> (work[0].real ()); |
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420 work.reserve (lwork); |
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421 |
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422 GESVD_COMPLEX_STEP (cgesvd, CGESVD, F77_CMPLX_ARG); |
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423 } |
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424 |
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425 #undef GESVD_REAL_STEP |
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426 #undef GESVD_COMPLEX_STEP |
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427 |
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428 // GESDD specializations |
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429 |
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430 #define GESDD_REAL_STEP(f, F) \ |
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431 F77_XFCN (f, F, (F77_CONST_CHAR_ARG2 (&jobz, 1), \ |
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432 m, n, tmp_data, m1, s_vec, u, m1, vt, nrow_vt1, \ |
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433 work.data (), lwork, iwork, info \ |
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434 F77_CHAR_ARG_LEN (1))) |
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435 |
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436 #define GESDD_COMPLEX_STEP(f, F, CMPLX_ARG) \ |
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437 F77_XFCN (f, F, (F77_CONST_CHAR_ARG2 (&jobz, 1), m, n, \ |
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438 CMPLX_ARG (tmp_data), m1, \ |
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439 s_vec, CMPLX_ARG (u), m1, \ |
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440 CMPLX_ARG (vt), nrow_vt1, \ |
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441 CMPLX_ARG (work.data ()), lwork, \ |
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442 rwork.data (), iwork, info \ |
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443 F77_CHAR_ARG_LEN (1))) |
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444 |
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445 // DGESDD |
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446 template<> |
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447 OCTAVE_API void |
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448 svd<Matrix>::gesdd (char& jobz, F77_INT m, F77_INT n, double *tmp_data, |
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449 F77_INT m1, double *s_vec, double *u, double *vt, |
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450 F77_INT nrow_vt1, std::vector<double>& work, |
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451 F77_INT& lwork, F77_INT *iwork, F77_INT& info) |
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452 { |
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453 GESDD_REAL_STEP (dgesdd, DGESDD); |
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454 |
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455 lwork = static_cast<F77_INT> (work[0]); |
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456 work.reserve (lwork); |
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457 |
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458 GESDD_REAL_STEP (dgesdd, DGESDD); |
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459 } |
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460 |
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461 // SGESDD |
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462 template<> |
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463 OCTAVE_API void |
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464 svd<FloatMatrix>::gesdd (char& jobz, F77_INT m, F77_INT n, float *tmp_data, |
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465 F77_INT m1, float *s_vec, float *u, float *vt, |
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466 F77_INT nrow_vt1, std::vector<float>& work, |
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467 F77_INT& lwork, F77_INT* iwork, F77_INT& info) |
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468 { |
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469 GESDD_REAL_STEP (sgesdd, SGESDD); |
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470 |
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471 lwork = static_cast<F77_INT> (work[0]); |
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472 work.reserve (lwork); |
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473 |
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474 GESDD_REAL_STEP (sgesdd, SGESDD); |
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475 } |
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476 |
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477 // ZGESDD |
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478 template<> |
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479 OCTAVE_API void |
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480 svd<ComplexMatrix>::gesdd (char& jobz, F77_INT m, F77_INT n, |
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481 Complex *tmp_data, F77_INT m1, double *s_vec, |
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482 Complex *u, Complex *vt, F77_INT nrow_vt1, |
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483 std::vector<Complex>& work, F77_INT& lwork, |
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484 F77_INT *iwork, F77_INT& info) |
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485 { |
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486 |
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487 F77_INT min_mn = std::min (m, n); |
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488 F77_INT max_mn = std::max (m, n); |
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489 |
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490 F77_INT lrwork; |
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491 if (jobz == 'N') |
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492 lrwork = 7*min_mn; |
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493 else |
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494 lrwork = min_mn * std::max (5*min_mn+5, 2*max_mn+2*min_mn+1); |
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495 |
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496 std::vector<double> rwork (lrwork); |
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497 |
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498 GESDD_COMPLEX_STEP (zgesdd, ZGESDD, F77_DBLE_CMPLX_ARG); |
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499 |
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500 lwork = static_cast<F77_INT> (work[0].real ()); |
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501 work.reserve (lwork); |
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502 |
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503 GESDD_COMPLEX_STEP (zgesdd, ZGESDD, F77_DBLE_CMPLX_ARG); |
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504 } |
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505 |
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506 // CGESDD |
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507 template<> |
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508 OCTAVE_API void |
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509 svd<FloatComplexMatrix>::gesdd (char& jobz, F77_INT m, F77_INT n, |
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510 FloatComplex *tmp_data, F77_INT m1, |
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511 float *s_vec, FloatComplex *u, |
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512 FloatComplex *vt, F77_INT nrow_vt1, |
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513 std::vector<FloatComplex>& work, |
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514 F77_INT& lwork, F77_INT *iwork, |
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515 F77_INT& info) |
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516 { |
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517 F77_INT min_mn = std::min (m, n); |
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518 F77_INT max_mn = std::max (m, n); |
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519 |
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520 F77_INT lrwork; |
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521 if (jobz == 'N') |
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522 lrwork = 7*min_mn; |
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523 else |
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524 lrwork = min_mn * std::max (5*min_mn+5, 2*max_mn+2*min_mn+1); |
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525 std::vector<float> rwork (lrwork); |
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|
526 |
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527 GESDD_COMPLEX_STEP (cgesdd, CGESDD, F77_CMPLX_ARG); |
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528 |
22944
5126040e8f49
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|
529 lwork = static_cast<F77_INT> (work[0].real ()); |
22329
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|
530 work.reserve (lwork); |
22204
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531 |
22329
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532 GESDD_COMPLEX_STEP (cgesdd, CGESDD, F77_CMPLX_ARG); |
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|
533 } |
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|
534 |
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|
535 #undef GESDD_REAL_STEP |
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536 #undef GESDD_COMPLEX_STEP |
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|
537 |
29412
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538 // GEJSV specializations |
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539 |
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540 #define GEJSV_REAL_STEP(f, F) \ |
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541 F77_XFCN (f, F, (F77_CONST_CHAR_ARG2 (&joba, 1), \ |
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542 F77_CONST_CHAR_ARG2 (&jobu, 1), \ |
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543 F77_CONST_CHAR_ARG2 (&jobv, 1), \ |
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544 F77_CONST_CHAR_ARG2 (&jobr, 1), \ |
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545 F77_CONST_CHAR_ARG2 (&jobt, 1), \ |
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546 F77_CONST_CHAR_ARG2 (&jobp, 1), \ |
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547 m, n, tmp_data, m1, s_vec, u, m1, v, nrow_v1, \ |
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548 work.data (), lwork, iwork.data (), info \ |
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549 F77_CHAR_ARG_LEN (1) \ |
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550 F77_CHAR_ARG_LEN (1) \ |
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551 F77_CHAR_ARG_LEN (1) \ |
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552 F77_CHAR_ARG_LEN (1) \ |
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553 F77_CHAR_ARG_LEN (1) \ |
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554 F77_CHAR_ARG_LEN (1))) |
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555 |
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556 #define GEJSV_COMPLEX_STEP(f, F, CMPLX_ARG) \ |
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557 F77_XFCN (f, F, (F77_CONST_CHAR_ARG2 (&joba, 1), \ |
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558 F77_CONST_CHAR_ARG2 (&jobu, 1), \ |
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559 F77_CONST_CHAR_ARG2 (&jobv, 1), \ |
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560 F77_CONST_CHAR_ARG2 (&jobr, 1), \ |
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561 F77_CONST_CHAR_ARG2 (&jobt, 1), \ |
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562 F77_CONST_CHAR_ARG2 (&jobp, 1), \ |
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563 m, n, CMPLX_ARG (tmp_data), m1, \ |
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564 s_vec, CMPLX_ARG (u), m1, \ |
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565 CMPLX_ARG (v), nrow_v1, \ |
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566 CMPLX_ARG (work.data ()), lwork, \ |
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567 rwork.data (), lrwork, iwork.data (), info \ |
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568 F77_CHAR_ARG_LEN (1) \ |
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569 F77_CHAR_ARG_LEN (1) \ |
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570 F77_CHAR_ARG_LEN (1) \ |
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571 F77_CHAR_ARG_LEN (1) \ |
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572 F77_CHAR_ARG_LEN (1) \ |
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573 F77_CHAR_ARG_LEN (1))) |
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574 |
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575 // DGEJSV |
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576 template<> |
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577 void |
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578 svd<Matrix>::gejsv (char& joba, char& jobu, char& jobv, |
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579 char& jobr, char& jobt, char& jobp, |
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580 F77_INT m, F77_INT n, |
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581 P *tmp_data, F77_INT m1, DM_P *s_vec, P *u, |
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582 P *v, F77_INT nrow_v1, std::vector<P>& work, |
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583 F77_INT& lwork, std::vector<F77_INT>& iwork, |
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584 F77_INT& info) |
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585 { |
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586 lwork = gejsv_lwork<Matrix>::optimal(joba, jobu, jobv, m, n); |
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587 work.reserve (lwork); |
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588 |
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589 GEJSV_REAL_STEP (dgejsv, DGEJSV); |
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590 } |
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591 |
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592 // SGEJSV |
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593 template<> |
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594 void |
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595 svd<FloatMatrix>::gejsv (char& joba, char& jobu, char& jobv, |
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596 char& jobr, char& jobt, char& jobp, |
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597 F77_INT m, F77_INT n, |
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598 P *tmp_data, F77_INT m1, DM_P *s_vec, P *u, |
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599 P *v, F77_INT nrow_v1, std::vector<P>& work, |
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600 F77_INT& lwork, std::vector<F77_INT>& iwork, |
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601 F77_INT& info) |
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602 { |
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603 lwork = gejsv_lwork<FloatMatrix>::optimal(joba, jobu, jobv, m, n); |
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604 work.reserve (lwork); |
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|
605 |
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606 GEJSV_REAL_STEP (sgejsv, SGEJSV); |
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|
607 } |
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|
608 |
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609 // ZGEJSV |
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610 template<> |
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|
611 void |
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612 svd<ComplexMatrix>::gejsv (char& joba, char& jobu, char& jobv, |
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613 char& jobr, char& jobt, char& jobp, |
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614 F77_INT m, F77_INT n, |
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615 P *tmp_data, F77_INT m1, DM_P *s_vec, P *u, |
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616 P *v, F77_INT nrow_v1, std::vector<P>& work, |
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617 F77_INT& lwork, std::vector<F77_INT>& iwork, |
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618 F77_INT& info) |
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|
619 { |
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620 F77_INT lrwork = -1; // work space size query |
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621 std::vector<double> rwork (1); |
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622 work.reserve (2); |
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|
623 |
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624 GEJSV_COMPLEX_STEP (zgejsv, ZGEJSV, F77_DBLE_CMPLX_ARG); |
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|
625 |
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626 lwork = static_cast<F77_INT> (work[0].real ()); |
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627 work.reserve (lwork); |
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|
628 |
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|
629 lrwork = static_cast<F77_INT> (rwork[0]); |
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630 rwork.reserve (lrwork); |
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631 |
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632 F77_INT liwork = static_cast<F77_INT> (iwork[0]); |
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633 iwork.reserve (liwork); |
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634 |
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635 GEJSV_COMPLEX_STEP (zgejsv, ZGEJSV, F77_DBLE_CMPLX_ARG); |
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636 } |
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|
637 |
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|
638 // CGEJSV |
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639 template<> |
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640 void |
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641 svd<FloatComplexMatrix>::gejsv (char& joba, char& jobu, char& jobv, |
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642 char& jobr, char& jobt, char& jobp, |
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643 F77_INT m, F77_INT n, P *tmp_data, |
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644 F77_INT m1, DM_P *s_vec, P *u, P *v, |
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645 F77_INT nrow_v1, std::vector<P>& work, |
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646 F77_INT& lwork, |
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647 std::vector<F77_INT>& iwork, F77_INT& info) |
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648 { |
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649 F77_INT lrwork = -1; // work space size query |
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650 std::vector<float> rwork (1); |
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651 work.reserve (2); |
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652 |
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653 GEJSV_COMPLEX_STEP (cgejsv, CGEJSV, F77_CMPLX_ARG); |
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654 |
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655 lwork = static_cast<F77_INT> (work[0].real ()); |
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656 work.reserve (lwork); |
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|
657 |
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658 lrwork = static_cast<F77_INT> (rwork[0]); |
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|
659 rwork.reserve (lrwork); |
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|
660 |
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|
661 F77_INT liwork = static_cast<F77_INT> (iwork[0]); |
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662 iwork.reserve (liwork); |
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663 |
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|
664 GEJSV_COMPLEX_STEP (cgejsv, CGEJSV, F77_CMPLX_ARG); |
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|
665 } |
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|
666 |
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|
667 #undef GEJSV_REAL_STEP |
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668 #undef GEJSV_COMPLEX_STEP |
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669 |
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670 template<typename T> |
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671 svd<T>::svd (const T& a, svd::Type type, |
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672 svd::Driver driver) |
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673 : m_type (type), m_driver (driver), left_sm (), sigma (), right_sm () |
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674 { |
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|
675 F77_INT info; |
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676 |
23696
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677 F77_INT m = to_f77_int (a.rows ()); |
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678 F77_INT n = to_f77_int (a.cols ()); |
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|
679 |
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680 if (m == 0 || n == 0) |
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681 { |
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|
682 switch (m_type) |
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683 { |
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684 case svd::Type::std: |
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|
685 left_sm = T (m, m, 0); |
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|
686 for (F77_INT i = 0; i < m; i++) |
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687 left_sm.xelem (i, i) = 1; |
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688 sigma = DM_T (m, n); |
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|
689 right_sm = T (n, n, 0); |
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|
690 for (F77_INT i = 0; i < n; i++) |
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|
691 right_sm.xelem (i, i) = 1; |
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|
692 break; |
457 | 693 |
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|
694 case svd::Type::economy: |
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|
695 left_sm = T (m, 0, 0); |
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|
696 sigma = DM_T (0, 0); |
29412
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|
697 right_sm = T (n, 0, 0); |
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|
698 break; |
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|
699 |
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|
700 case svd::Type::sigma_only: |
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|
701 default: |
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|
702 sigma = DM_T (0, 1); |
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|
703 break; |
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|
704 } |
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|
705 return; |
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|
706 } |
457 | 707 |
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|
708 T atmp = a; |
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|
709 P *tmp_data = atmp.fortran_vec (); |
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|
710 |
23450
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maint: Wrap tertiary operator in parentheses "(COND ? x : y)".
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|
711 F77_INT min_mn = (m < n ? m : n); |
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|
712 |
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|
713 char jobu = 'A'; |
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|
714 char jobv = 'A'; |
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|
715 |
22944
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|
716 F77_INT ncol_u = m; |
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|
717 F77_INT nrow_vt = n; |
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|
718 F77_INT nrow_s = m; |
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|
719 F77_INT ncol_s = n; |
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|
720 |
22228
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|
721 switch (m_type) |
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|
722 { |
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|
723 case svd::Type::economy: |
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|
724 jobu = jobv = 'S'; |
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|
725 ncol_u = nrow_vt = nrow_s = ncol_s = min_mn; |
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|
726 break; |
469c817eb256
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|
727 |
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|
728 case svd::Type::sigma_only: |
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|
729 |
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|
730 // Note: for this case, both jobu and jobv should be 'N', but there |
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|
731 // seems to be a bug in dgesvd from Lapack V2.0. To demonstrate the |
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|
732 // bug, set both jobu and jobv to 'N' and find the singular values of |
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|
733 // [eye(3), eye(3)]. The result is [-sqrt(2), -sqrt(2), -sqrt(2)]. |
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|
734 // |
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|
735 // For Lapack 3.0, this problem seems to be fixed. |
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|
736 |
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|
737 jobu = jobv = 'N'; |
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|
738 ncol_u = nrow_vt = 1; |
7f3c7a8bd131
maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents:
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changeset
|
739 break; |
7f3c7a8bd131
maint: Indent namespaces in liboctave/numeric files.
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parents:
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diff
changeset
|
740 |
22204
469c817eb256
svd: reduce code duplication with more use of template and macro.
Carnë Draug <carandraug@octave.org>
parents:
22135
diff
changeset
|
741 default: |
469c817eb256
svd: reduce code duplication with more use of template and macro.
Carnë Draug <carandraug@octave.org>
parents:
22135
diff
changeset
|
742 break; |
469c817eb256
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Carnë Draug <carandraug@octave.org>
parents:
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diff
changeset
|
743 } |
22329
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parents:
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|
744 |
7f3c7a8bd131
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parents:
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diff
changeset
|
745 if (! (jobu == 'N' || jobu == 'O')) |
7f3c7a8bd131
maint: Indent namespaces in liboctave/numeric files.
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parents:
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diff
changeset
|
746 left_sm.resize (m, ncol_u); |
22204
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Carnë Draug <carandraug@octave.org>
parents:
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diff
changeset
|
747 |
23449
c763214a8260
maint: Use convention 'int *x' for naming pointers.
Rik <rik@octave.org>
parents:
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diff
changeset
|
748 P *u = left_sm.fortran_vec (); |
457 | 749 |
22329
7f3c7a8bd131
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diff
changeset
|
750 sigma.resize (nrow_s, ncol_s); |
23449
c763214a8260
maint: Use convention 'int *x' for naming pointers.
Rik <rik@octave.org>
parents:
23448
diff
changeset
|
751 DM_P *s_vec = sigma.fortran_vec (); |
457 | 752 |
22329
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changeset
|
753 if (! (jobv == 'N' || jobv == 'O')) |
29412
9b6bf68ea663
Add additional svd driver GEJSV for accurate SVD (bug #55727).
Eddy Xiao <bewantbe@gmail.com>
parents:
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diff
changeset
|
754 { |
9b6bf68ea663
Add additional svd driver GEJSV for accurate SVD (bug #55727).
Eddy Xiao <bewantbe@gmail.com>
parents:
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|
755 if (m_driver == svd::Driver::GEJSV) |
9b6bf68ea663
Add additional svd driver GEJSV for accurate SVD (bug #55727).
Eddy Xiao <bewantbe@gmail.com>
parents:
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diff
changeset
|
756 right_sm.resize (n, nrow_vt); |
9b6bf68ea663
Add additional svd driver GEJSV for accurate SVD (bug #55727).
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parents:
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diff
changeset
|
757 else |
9b6bf68ea663
Add additional svd driver GEJSV for accurate SVD (bug #55727).
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parents:
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diff
changeset
|
758 right_sm.resize (nrow_vt, n); |
9b6bf68ea663
Add additional svd driver GEJSV for accurate SVD (bug #55727).
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parents:
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diff
changeset
|
759 } |
22329
7f3c7a8bd131
maint: Indent namespaces in liboctave/numeric files.
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parents:
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diff
changeset
|
760 |
23449
c763214a8260
maint: Use convention 'int *x' for naming pointers.
Rik <rik@octave.org>
parents:
23448
diff
changeset
|
761 P *vt = right_sm.fortran_vec (); |
537 | 762 |
22329
7f3c7a8bd131
maint: Indent namespaces in liboctave/numeric files.
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parents:
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changeset
|
763 // Query _GESVD for the correct dimension of WORK. |
7f3c7a8bd131
maint: Indent namespaces in liboctave/numeric files.
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parents:
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changeset
|
764 |
22944
5126040e8f49
use F77_INT instead of octave_idx_type for liboctave svd class
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
765 F77_INT lwork = -1; |
22329
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parents:
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diff
changeset
|
766 |
7f3c7a8bd131
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parents:
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diff
changeset
|
767 std::vector<P> work (1); |
537 | 768 |
29412
9b6bf68ea663
Add additional svd driver GEJSV for accurate SVD (bug #55727).
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diff
changeset
|
769 const F77_INT f77_int_one = static_cast<F77_INT> (1); |
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Add additional svd driver GEJSV for accurate SVD (bug #55727).
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|
770 F77_INT m1 = std::max (m, f77_int_one); |
9b6bf68ea663
Add additional svd driver GEJSV for accurate SVD (bug #55727).
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changeset
|
771 F77_INT nrow_vt1 = std::max (nrow_vt, f77_int_one); |
21273
cbced1c09916
better use of templates for svd classes
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parents:
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diff
changeset
|
772 |
22329
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changeset
|
773 if (m_driver == svd::Driver::GESVD) |
7f3c7a8bd131
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parents:
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changeset
|
774 gesvd (jobu, jobv, m, n, tmp_data, m1, s_vec, u, vt, nrow_vt1, |
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changeset
|
775 work, lwork, info); |
7f3c7a8bd131
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|
776 else if (m_driver == svd::Driver::GESDD) |
7f3c7a8bd131
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parents:
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changeset
|
777 { |
7f3c7a8bd131
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parents:
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changeset
|
778 assert (jobu == jobv); |
7f3c7a8bd131
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|
779 char jobz = jobu; |
21273
cbced1c09916
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diff
changeset
|
780 |
22944
5126040e8f49
use F77_INT instead of octave_idx_type for liboctave svd class
John W. Eaton <jwe@octave.org>
parents:
22755
diff
changeset
|
781 std::vector<F77_INT> iwork (8 * std::min (m, n)); |
21273
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parents:
21202
diff
changeset
|
782 |
22329
7f3c7a8bd131
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John W. Eaton <jwe@octave.org>
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changeset
|
783 gesdd (jobz, m, n, tmp_data, m1, s_vec, u, vt, nrow_vt1, |
7f3c7a8bd131
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parents:
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changeset
|
784 work, lwork, iwork.data (), info); |
7f3c7a8bd131
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John W. Eaton <jwe@octave.org>
parents:
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changeset
|
785 } |
29412
9b6bf68ea663
Add additional svd driver GEJSV for accurate SVD (bug #55727).
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|
786 else if (m_driver == svd::Driver::GEJSV) |
9b6bf68ea663
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parents:
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changeset
|
787 { |
9b6bf68ea663
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changeset
|
788 bool transposed = false; |
9b6bf68ea663
Add additional svd driver GEJSV for accurate SVD (bug #55727).
Eddy Xiao <bewantbe@gmail.com>
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|
789 if (n > m) |
9b6bf68ea663
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|
790 { |
9b6bf68ea663
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|
791 // GEJSV only accepts m >= n, thus we need to transpose here |
9b6bf68ea663
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|
792 transposed = true; |
9b6bf68ea663
Add additional svd driver GEJSV for accurate SVD (bug #55727).
Eddy Xiao <bewantbe@gmail.com>
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|
793 |
9b6bf68ea663
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changeset
|
794 std::swap (m, n); |
9b6bf68ea663
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29359
diff
changeset
|
795 m1 = std::max (m, f77_int_one); |
9b6bf68ea663
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|
796 nrow_vt1 = std::max (n, f77_int_one); // we have m > n |
9b6bf68ea663
Add additional svd driver GEJSV for accurate SVD (bug #55727).
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changeset
|
797 if (m_type == svd::Type::sigma_only) |
9b6bf68ea663
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parents:
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changeset
|
798 nrow_vt1 = 1; |
9b6bf68ea663
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changeset
|
799 std::swap (jobu, jobv); |
9b6bf68ea663
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parents:
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diff
changeset
|
800 |
9b6bf68ea663
Add additional svd driver GEJSV for accurate SVD (bug #55727).
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parents:
29359
diff
changeset
|
801 atmp = atmp.hermitian (); |
9b6bf68ea663
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Eddy Xiao <bewantbe@gmail.com>
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|
802 tmp_data = atmp.fortran_vec (); |
9b6bf68ea663
Add additional svd driver GEJSV for accurate SVD (bug #55727).
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parents:
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diff
changeset
|
803 |
9b6bf68ea663
Add additional svd driver GEJSV for accurate SVD (bug #55727).
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parents:
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diff
changeset
|
804 // Swap pointers of U and V. |
9b6bf68ea663
Add additional svd driver GEJSV for accurate SVD (bug #55727).
Eddy Xiao <bewantbe@gmail.com>
parents:
29359
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changeset
|
805 u = right_sm.fortran_vec (); |
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Eddy Xiao <bewantbe@gmail.com>
parents:
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changeset
|
806 vt = left_sm.fortran_vec (); |
9b6bf68ea663
Add additional svd driver GEJSV for accurate SVD (bug #55727).
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parents:
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diff
changeset
|
807 } |
9b6bf68ea663
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Eddy Xiao <bewantbe@gmail.com>
parents:
29359
diff
changeset
|
808 |
9b6bf68ea663
Add additional svd driver GEJSV for accurate SVD (bug #55727).
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parents:
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changeset
|
809 // translate jobu and jobv from gesvd to gejsv. |
9b6bf68ea663
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parents:
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diff
changeset
|
810 assert ('A' <= jobu && jobu <= 'S' && 'A' <= jobv && jobv <= 'S'); |
9b6bf68ea663
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parents:
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diff
changeset
|
811 char job_svd2jsv[1 + 'S' - 'A'][2] = {0}; |
9b6bf68ea663
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diff
changeset
|
812 job_svd2jsv['A' - 'A'][0] = 'F'; |
9b6bf68ea663
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Eddy Xiao <bewantbe@gmail.com>
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changeset
|
813 job_svd2jsv['A' - 'A'][1] = 'J'; |
9b6bf68ea663
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parents:
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diff
changeset
|
814 job_svd2jsv['S' - 'A'][0] = 'U'; |
9b6bf68ea663
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changeset
|
815 job_svd2jsv['S' - 'A'][1] = 'V'; |
9b6bf68ea663
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changeset
|
816 job_svd2jsv['O' - 'A'][0] = 'W'; |
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Add additional svd driver GEJSV for accurate SVD (bug #55727).
Eddy Xiao <bewantbe@gmail.com>
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changeset
|
817 job_svd2jsv['O' - 'A'][1] = 'W'; |
9b6bf68ea663
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changeset
|
818 job_svd2jsv['N' - 'A'][0] = 'N'; |
9b6bf68ea663
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changeset
|
819 job_svd2jsv['N' - 'A'][1] = 'N'; |
9b6bf68ea663
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changeset
|
820 jobu = job_svd2jsv[jobu - 'A'][0]; |
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changeset
|
821 jobv = job_svd2jsv[jobv - 'A'][1]; |
9b6bf68ea663
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changeset
|
822 |
9b6bf68ea663
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changeset
|
823 char joba = 'F'; // 'F': most conservative |
9b6bf68ea663
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changeset
|
824 char jobr = 'R'; // 'R' is recommended. |
9b6bf68ea663
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changeset
|
825 char jobt = 'N'; // or 'T', but that requires U and V appear together |
9b6bf68ea663
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changeset
|
826 char jobp = 'N'; // use 'P' if denormal is poorly implemented. |
9b6bf68ea663
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changeset
|
827 |
29416
3f45f5b6fa7f
svd.cc: Use std::max<F77_INT> for Fortran integers (bug #55727).
Markus Mützel <markus.muetzel@gmx.de>
parents:
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diff
changeset
|
828 std::vector<F77_INT> iwork (std::max<F77_INT> (m + 3*n, 1)); |
29412
9b6bf68ea663
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Eddy Xiao <bewantbe@gmail.com>
parents:
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changeset
|
829 |
9b6bf68ea663
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parents:
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diff
changeset
|
830 gejsv (joba, jobu, jobv, jobr, jobt, jobp, m, n, tmp_data, m1, |
9b6bf68ea663
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changeset
|
831 s_vec, u, vt, nrow_vt1, work, lwork, iwork, info); |
9b6bf68ea663
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changeset
|
832 |
9b6bf68ea663
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changeset
|
833 if (iwork[2] == 1) |
9b6bf68ea663
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changeset
|
834 (*current_liboctave_warning_with_id_handler) |
9b6bf68ea663
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changeset
|
835 ("Octave:convergence", "svd: (driver: GEJSV) " |
9b6bf68ea663
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changeset
|
836 "Denormal occured, possible loss of accuracy."); |
9b6bf68ea663
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changeset
|
837 |
9b6bf68ea663
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changeset
|
838 if (info < 0) |
9b6bf68ea663
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changeset
|
839 (*current_liboctave_error_handler) |
9b6bf68ea663
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changeset
|
840 ("svd: (driver: GEJSV) Illegal argument at #%d", |
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diff
changeset
|
841 static_cast<int> (-info)); |
9b6bf68ea663
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changeset
|
842 else if (info > 0) |
9b6bf68ea663
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Eddy Xiao <bewantbe@gmail.com>
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diff
changeset
|
843 (*current_liboctave_warning_with_id_handler) |
9b6bf68ea663
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changeset
|
844 ("Octave:convergence", "svd: (driver: GEJSV) " |
9b6bf68ea663
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845 "Fail to converge within max sweeps, " |
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846 "possible inaccurate result."); |
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847 |
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848 if (transposed) // put things that need to transpose back here |
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849 std::swap (m, n); |
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850 } |
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851 else |
23448
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852 (*current_liboctave_error_handler) ("svd: unknown driver"); |
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853 |
26731
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854 // LAPACK can return -0 which is a small problem (bug #55710). |
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855 for (octave_idx_type i = 0; i < sigma.diag_length (); i++) |
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856 { |
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857 if (! sigma.dgxelem (i)) |
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858 sigma.dgxelem (i) = DM_P (0); |
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859 } |
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860 |
29412
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861 // GESVD and GESDD return VT instead of V, GEJSV return V. |
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862 if (! (jobv == 'N' || jobv == 'O') && (m_driver != svd::Driver::GEJSV)) |
22592
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863 right_sm = right_sm.hermitian (); |
21273
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864 } |
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865 |
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866 // Instantiations we need. |
21273
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867 |
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868 template class svd<Matrix>; |
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869 |
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870 template class svd<FloatMatrix>; |
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871 |
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872 template class svd<ComplexMatrix>; |
3336 | 873 |
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874 template class svd<FloatComplexMatrix>; |
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875 } |
457 | 876 } |