annotate liboctave/numeric/svd.cc @ 22135:407c66ae1e20

reduce warnings from GCC's link-time optimization feature (bug #48531) * f77-fcn.h (F77_DBLE_CMPLX, F77_CMPLX): Use C types instead of typedefs for std::complex<T> types. (F77_CMPLX_ARG, F77_CONST_CMPLX_ARG, F77_DBLE_CMPLX_ARG, F77_CONST_DBLE_CMPLX_ARG): New macros. * dot.cc, ordschur.cc, qz.cc, CColVector.cc, CMatrix.cc, CRowVector.cc, CSparse.cc, dSparse.cc, fCColVector.cc, fCMatrix.cc, fCRowVector.cc, f77-fcn.h, EIG.cc, aepbalance.cc, chol.cc, eigs-base.cc, fEIG.cc, gepbalance.cc, hess.cc, lo-specfun.cc, lu.cc, oct-convn.cc, qr.cc, qrp.cc, schur.cc, svd.cc: Use new macros for passing complex arguments to Fortran function. Always pass pointers to complex arguments.
author John W. Eaton <jwe@octave.org>
date Mon, 18 Jul 2016 09:38:57 -0400
parents 59cadee1c74b
children 469c817eb256
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1 /*
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2
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3 Copyright (C) 1994-2015 John W. Eaton
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4
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5 This file is part of Octave.
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6
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
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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 #if defined (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 <cassert>
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28
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29 #include "CMatrix.h"
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30 #include "dDiagMatrix.h"
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31 #include "fDiagMatrix.h"
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32 #include "dMatrix.h"
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33 #include "f77-fcn.h"
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34 #include "fCMatrix.h"
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35 #include "fMatrix.h"
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36 #include "lo-error.h"
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37 #include "oct-locbuf.h"
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38 #include "svd.h"
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40 extern "C"
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41 {
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42 F77_RET_T
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43 F77_FUNC (dgesvd, DGESVD) (F77_CONST_CHAR_ARG_DECL,
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44 F77_CONST_CHAR_ARG_DECL,
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45 const F77_INT&, const F77_INT&,
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46 F77_DBLE*, const F77_INT&, F77_DBLE*,
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47 F77_DBLE*, const F77_INT&, F77_DBLE*,
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48 const F77_INT&, F77_DBLE*,
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49 const F77_INT&, F77_INT&
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50 F77_CHAR_ARG_LEN_DECL
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51 F77_CHAR_ARG_LEN_DECL);
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52
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53 F77_RET_T
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54 F77_FUNC (dgesdd, DGESDD) (F77_CONST_CHAR_ARG_DECL,
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55 const F77_INT&, const F77_INT&,
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56 F77_DBLE*, const F77_INT&, F77_DBLE*,
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57 F77_DBLE*, const F77_INT&, F77_DBLE*,
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58 const F77_INT&, F77_DBLE*,
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59 const F77_INT&, F77_INT *,
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60 F77_INT&
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61 F77_CHAR_ARG_LEN_DECL);
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62
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63 F77_RET_T
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64 F77_FUNC (sgesvd, SGESVD) (F77_CONST_CHAR_ARG_DECL,
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65 F77_CONST_CHAR_ARG_DECL,
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66 const F77_INT&, const F77_INT&,
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67 F77_REAL*, const F77_INT&, F77_REAL*,
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68 F77_REAL*, const F77_INT&, F77_REAL*,
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69 const F77_INT&, F77_REAL*,
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70 const F77_INT&, F77_INT&
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71 F77_CHAR_ARG_LEN_DECL
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72 F77_CHAR_ARG_LEN_DECL);
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73
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74 F77_RET_T
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75 F77_FUNC (sgesdd, SGESDD) (F77_CONST_CHAR_ARG_DECL,
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76 const F77_INT&, const F77_INT&,
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77 F77_REAL*, const F77_INT&, F77_REAL*,
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78 F77_REAL*, const F77_INT&, F77_REAL*,
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79 const F77_INT&, F77_REAL*,
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80 const F77_INT&, F77_INT *,
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81 F77_INT&
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82 F77_CHAR_ARG_LEN_DECL);
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83
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84 F77_RET_T
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85 F77_FUNC (zgesvd, ZGESVD) (F77_CONST_CHAR_ARG_DECL,
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86 F77_CONST_CHAR_ARG_DECL,
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87 const F77_INT&, const F77_INT&,
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88 F77_DBLE_CMPLX*, const F77_INT&,
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89 F77_DBLE*, F77_DBLE_CMPLX*, const F77_INT&,
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90 F77_DBLE_CMPLX*, const F77_INT&, F77_DBLE_CMPLX*,
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91 const F77_INT&, F77_DBLE*, F77_INT&
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92 F77_CHAR_ARG_LEN_DECL
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93 F77_CHAR_ARG_LEN_DECL);
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94
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95 F77_RET_T
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96 F77_FUNC (zgesdd, ZGESDD) (F77_CONST_CHAR_ARG_DECL,
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97 const F77_INT&, const F77_INT&,
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98 F77_DBLE_CMPLX*, const F77_INT&,
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99 F77_DBLE*, F77_DBLE_CMPLX*, const F77_INT&,
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100 F77_DBLE_CMPLX*, const F77_INT&, F77_DBLE_CMPLX*,
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101 const F77_INT&, F77_DBLE*,
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102 F77_INT *, F77_INT&
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103 F77_CHAR_ARG_LEN_DECL);
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104 F77_RET_T
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105 F77_FUNC (cgesvd, CGESVD) (F77_CONST_CHAR_ARG_DECL,
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106 F77_CONST_CHAR_ARG_DECL,
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107 const F77_INT&, const F77_INT&,
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108 F77_CMPLX*, const F77_INT&, F77_REAL*,
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109 F77_CMPLX*, const F77_INT&,
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110 F77_CMPLX*, const F77_INT&,
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111 F77_CMPLX*, const F77_INT&,
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112 F77_REAL*, F77_INT&
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113 F77_CHAR_ARG_LEN_DECL
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114 F77_CHAR_ARG_LEN_DECL);
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115
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116 F77_RET_T
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117 F77_FUNC (cgesdd, CGESDD) (F77_CONST_CHAR_ARG_DECL,
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118 const F77_INT&, const F77_INT&,
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119 F77_CMPLX*, const F77_INT&, F77_REAL*,
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120 F77_CMPLX*, const F77_INT&,
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121 F77_CMPLX*, const F77_INT&,
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122 F77_CMPLX*, const F77_INT&,
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123 F77_REAL*, F77_INT *, F77_INT&
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124 F77_CHAR_ARG_LEN_DECL);
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125 }
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126
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127 template <typename T>
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128 T
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129 svd<T>::left_singular_matrix (void) const
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130 {
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131 if (type_computed == svd::sigma_only)
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132 (*current_liboctave_error_handler)
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133 ("svd: U not computed because type == svd::sigma_only");
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diff changeset
134
7cac4e7458f2 maint: clean up code around calls to current_liboctave_error_handler.
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diff changeset
135 return left_sm;
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diff changeset
136 }
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diff changeset
137
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diff changeset
138 template <typename T>
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diff changeset
139 T
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diff changeset
140 svd<T>::right_singular_matrix (void) const
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141 {
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142 if (type_computed == svd::sigma_only)
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143 (*current_liboctave_error_handler)
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144 ("svd: V not computed because type == svd::sigma_only");
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145
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146 return right_sm;
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147 }
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148
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diff changeset
149 template <typename T>
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diff changeset
150 octave_idx_type
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151 svd<T>::empty_init (octave_idx_type nr, octave_idx_type nc, svd::type svd_type)
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152 {
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153 assert (nr == 0 || nc == 0);
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154
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155 static typename T::element_type zero (0);
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156 static typename T::element_type one (1);
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157
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158 switch (svd_type)
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159 {
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160 case svd::std:
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161 left_sm = T (nr, nr, zero);
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162 for (octave_idx_type i = 0; i < nr; i++)
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163 left_sm.xelem (i, i) = one;
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164 sigma = DM_T (nr, nc);
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165 right_sm = T (nc, nc, zero);
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166 for (octave_idx_type i = 0; i < nc; i++)
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167 right_sm.xelem (i, i) = one;
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168 break;
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169
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diff changeset
170 case svd::economy:
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171 left_sm = T (nr, 0, zero);
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172 sigma = DM_T (0, 0);
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173 right_sm = T (0, nc, zero);
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174 break;
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175
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176 case svd::sigma_only:
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diff changeset
177 default:
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178 sigma = DM_T (0, 1);
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179 break;
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180 }
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181
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182 return 0;
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183 }
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184
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185 // Specializations.
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186
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187 template <>
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diff changeset
188 octave_idx_type
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diff changeset
189 svd<Matrix>::init (const Matrix& a, svd::type svd_type, svd::driver svd_driver)
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190 {
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191 octave_idx_type info = 0;
457
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192
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193 octave_idx_type m = a.rows ();
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diff changeset
194 octave_idx_type n = a.cols ();
457
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195
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196 if (m == 0 || n == 0)
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197 return empty_init (m, n, svd_type);
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diff changeset
198
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diff changeset
199 Matrix atmp = a;
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diff changeset
200 double *tmp_data = atmp.fortran_vec ();
457
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diff changeset
201
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202 octave_idx_type min_mn = m < n ? m : n;
457
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diff changeset
203
1930
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diff changeset
204 char jobu = 'A';
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diff changeset
205 char jobv = 'A';
537
4ecbfd3c3710 [project @ 1994-07-21 22:30:34 by jwe]
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diff changeset
206
5275
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207 octave_idx_type ncol_u = m;
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diff changeset
208 octave_idx_type nrow_vt = n;
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
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diff changeset
209 octave_idx_type nrow_s = m;
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
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diff changeset
210 octave_idx_type ncol_s = n;
537
4ecbfd3c3710 [project @ 1994-07-21 22:30:34 by jwe]
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diff changeset
211
1543
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diff changeset
212 switch (svd_type)
537
4ecbfd3c3710 [project @ 1994-07-21 22:30:34 by jwe]
jwe
parents: 457
diff changeset
213 {
21273
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parents: 21202
diff changeset
214 case svd::economy:
1930
d20ab06301e8 [project @ 1996-02-11 22:30:18 by jwe]
jwe
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diff changeset
215 jobu = jobv = 'S';
537
4ecbfd3c3710 [project @ 1994-07-21 22:30:34 by jwe]
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diff changeset
216 ncol_u = nrow_vt = nrow_s = ncol_s = min_mn;
1543
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diff changeset
217 break;
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jwe
parents: 1368
diff changeset
218
21273
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diff changeset
219 case svd::sigma_only:
2621
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diff changeset
220
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diff changeset
221 // Note: for this case, both jobu and jobv should be 'N', but
337a09dd1c06 [project @ 1997-01-24 21:49:41 by jwe]
jwe
parents: 1993
diff changeset
222 // there seems to be a bug in dgesvd from Lapack V2.0. To
337a09dd1c06 [project @ 1997-01-24 21:49:41 by jwe]
jwe
parents: 1993
diff changeset
223 // demonstrate the bug, set both jobu and jobv to 'N' and find
337a09dd1c06 [project @ 1997-01-24 21:49:41 by jwe]
jwe
parents: 1993
diff changeset
224 // the singular values of [eye(3), eye(3)]. The result is
337a09dd1c06 [project @ 1997-01-24 21:49:41 by jwe]
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diff changeset
225 // [-sqrt(2), -sqrt(2), -sqrt(2)].
3335
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parents: 2847
diff changeset
226 //
f39b97e13cf2 [project @ 1999-11-03 21:05:01 by jwe]
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diff changeset
227 // For Lapack 3.0, this problem seems to be fixed.
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diff changeset
228
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8ced82e96b48 Fix segfaults with gesdd driver for svd (bug #37998).
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parents: 14138
diff changeset
229 jobu = jobv = 'N';
1545
8bdfa6fe5d69 [project @ 1995-10-06 06:13:28 by jwe]
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diff changeset
230 ncol_u = nrow_vt = 1;
1543
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parents: 1368
diff changeset
231 break;
d6e96e0bc681 [project @ 1995-10-06 05:49:21 by jwe]
jwe
parents: 1368
diff changeset
232
d6e96e0bc681 [project @ 1995-10-06 05:49:21 by jwe]
jwe
parents: 1368
diff changeset
233 default:
d6e96e0bc681 [project @ 1995-10-06 05:49:21 by jwe]
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parents: 1368
diff changeset
234 break;
537
4ecbfd3c3710 [project @ 1994-07-21 22:30:34 by jwe]
jwe
parents: 457
diff changeset
235 }
4ecbfd3c3710 [project @ 1994-07-21 22:30:34 by jwe]
jwe
parents: 457
diff changeset
236
1544
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parents: 1543
diff changeset
237 type_computed = svd_type;
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parents: 1543
diff changeset
238
2621
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parents: 1993
diff changeset
239 if (! (jobu == 'N' || jobu == 'O'))
1931
c91f81d5f72c [project @ 1996-02-11 23:02:16 by jwe]
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parents: 1930
diff changeset
240 left_sm.resize (m, ncol_u);
1930
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diff changeset
241
d20ab06301e8 [project @ 1996-02-11 22:30:18 by jwe]
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parents: 1882
diff changeset
242 double *u = left_sm.fortran_vec ();
d20ab06301e8 [project @ 1996-02-11 22:30:18 by jwe]
jwe
parents: 1882
diff changeset
243
d20ab06301e8 [project @ 1996-02-11 22:30:18 by jwe]
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parents: 1882
diff changeset
244 sigma.resize (nrow_s, ncol_s);
15018
3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
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parents: 14138
diff changeset
245 double *s_vec = sigma.fortran_vec ();
1930
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parents: 1882
diff changeset
246
2621
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diff changeset
247 if (! (jobv == 'N' || jobv == 'O'))
1930
d20ab06301e8 [project @ 1996-02-11 22:30:18 by jwe]
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parents: 1882
diff changeset
248 right_sm.resize (nrow_vt, n);
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diff changeset
249
d20ab06301e8 [project @ 1996-02-11 22:30:18 by jwe]
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diff changeset
250 double *vt = right_sm.fortran_vec ();
457
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diff changeset
251
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8ced82e96b48 Fix segfaults with gesdd driver for svd (bug #37998).
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parents: 14138
diff changeset
252 // Query DGESVD for the correct dimension of WORK.
1930
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diff changeset
253
5275
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diff changeset
254 octave_idx_type lwork = -1;
3336
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parents: 3335
diff changeset
255
11570
57632dea2446 attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
256 Array<double> work (dim_vector (1, 1));
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
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parents:
diff changeset
257
10258
e317791645c4 64-bit fixes
John W. Eaton <jwe@octave.org>
parents: 10185
diff changeset
258 octave_idx_type one = 1;
15887
8ced82e96b48 Fix segfaults with gesdd driver for svd (bug #37998).
Rik <rik@octave.org>
parents: 14138
diff changeset
259 octave_idx_type m1 = std::max (m, one);
8ced82e96b48 Fix segfaults with gesdd driver for svd (bug #37998).
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parents: 14138
diff changeset
260 octave_idx_type nrow_vt1 = std::max (nrow_vt, one);
10185
455759a5fcbe fix norm and svd on empty matrices
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parents: 10158
diff changeset
261
21273
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diff changeset
262 if (svd_driver == svd::GESVD)
10601
3ce0c530a9c9 implement svd_driver
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parents: 10350
diff changeset
263 {
3ce0c530a9c9 implement svd_driver
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parents: 10350
diff changeset
264 F77_XFCN (dgesvd, DGESVD, (F77_CONST_CHAR_ARG2 (&jobu, 1),
3ce0c530a9c9 implement svd_driver
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parents: 10350
diff changeset
265 F77_CONST_CHAR_ARG2 (&jobv, 1),
3ce0c530a9c9 implement svd_driver
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parents: 10350
diff changeset
266 m, n, tmp_data, m1, s_vec, u, m1, vt,
3ce0c530a9c9 implement svd_driver
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parents: 10350
diff changeset
267 nrow_vt1, work.fortran_vec (), lwork, info
3ce0c530a9c9 implement svd_driver
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parents: 10350
diff changeset
268 F77_CHAR_ARG_LEN (1)
3ce0c530a9c9 implement svd_driver
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parents: 10350
diff changeset
269 F77_CHAR_ARG_LEN (1)));
3ce0c530a9c9 implement svd_driver
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parents: 10350
diff changeset
270
3ce0c530a9c9 implement svd_driver
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parents: 10350
diff changeset
271 lwork = static_cast<octave_idx_type> (work(0));
11574
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parents: 11570
diff changeset
272 work.resize (dim_vector (lwork, 1));
10601
3ce0c530a9c9 implement svd_driver
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parents: 10350
diff changeset
273
3ce0c530a9c9 implement svd_driver
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parents: 10350
diff changeset
274 F77_XFCN (dgesvd, DGESVD, (F77_CONST_CHAR_ARG2 (&jobu, 1),
3ce0c530a9c9 implement svd_driver
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parents: 10350
diff changeset
275 F77_CONST_CHAR_ARG2 (&jobv, 1),
3ce0c530a9c9 implement svd_driver
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parents: 10350
diff changeset
276 m, n, tmp_data, m1, s_vec, u, m1, vt,
3ce0c530a9c9 implement svd_driver
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parents: 10350
diff changeset
277 nrow_vt1, work.fortran_vec (), lwork, info
3ce0c530a9c9 implement svd_driver
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parents: 10350
diff changeset
278 F77_CHAR_ARG_LEN (1)
3ce0c530a9c9 implement svd_driver
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parents: 10350
diff changeset
279 F77_CHAR_ARG_LEN (1)));
1543
d6e96e0bc681 [project @ 1995-10-06 05:49:21 by jwe]
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280
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281 }
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282 else if (svd_driver == svd::GESDD)
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283 {
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284 assert (jobu == jobv);
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285 char jobz = jobu;
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286 OCTAVE_LOCAL_BUFFER (octave_idx_type, iwork, 8*min_mn);
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287
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288 F77_XFCN (dgesdd, DGESDD, (F77_CONST_CHAR_ARG2 (&jobz, 1),
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289 m, n, tmp_data, m1, s_vec, u, m1, vt, nrow_vt1,
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290 work.fortran_vec (), lwork, iwork, info
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291 F77_CHAR_ARG_LEN (1)));
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08ad797989f8 [project @ 1999-11-03 21:41:34 by jwe]
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292
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293 lwork = static_cast<octave_idx_type> (work(0));
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294 work.resize (dim_vector (lwork, 1));
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295
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296 F77_XFCN (dgesdd, DGESDD, (F77_CONST_CHAR_ARG2 (&jobz, 1),
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297 m, n, tmp_data, m1, s_vec, u, m1, vt, nrow_vt1,
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298 work.fortran_vec (), lwork, iwork, info
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299 F77_CHAR_ARG_LEN (1)));
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300
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301 }
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302 else
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303 abort ();
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304
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305 if (! (jobv == 'N' || jobv == 'O'))
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306 right_sm = right_sm.transpose ();
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307
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308 return info;
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309 }
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310
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311 template <>
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312 octave_idx_type
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313 svd<FloatMatrix>::init (const FloatMatrix& a, svd::type svd_type,
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314 svd::driver svd_driver)
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315 {
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316 octave_idx_type info;
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317
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318 octave_idx_type m = a.rows ();
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319 octave_idx_type n = a.cols ();
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320
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321 if (m == 0 || n == 0)
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322 return empty_init (m, n, svd_type);
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323
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324 FloatMatrix atmp = a;
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325 float *tmp_data = atmp.fortran_vec ();
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326
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327 octave_idx_type min_mn = m < n ? m : n;
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328
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329 char jobu = 'A';
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330 char jobv = 'A';
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331
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332 octave_idx_type ncol_u = m;
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333 octave_idx_type nrow_vt = n;
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334 octave_idx_type nrow_s = m;
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335 octave_idx_type ncol_s = n;
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336
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337 switch (svd_type)
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338 {
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339 case svd::economy:
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340 jobu = jobv = 'S';
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341 ncol_u = nrow_vt = nrow_s = ncol_s = min_mn;
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342 break;
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343
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344 case svd::sigma_only:
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345
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346 // Note: for this case, both jobu and jobv should be 'N', but
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347 // there seems to be a bug in dgesvd from Lapack V2.0. To
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348 // demonstrate the bug, set both jobu and jobv to 'N' and find
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349 // the singular values of [eye(3), eye(3)]. The result is
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350 // [-sqrt(2), -sqrt(2), -sqrt(2)].
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351 //
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352 // For Lapack 3.0, this problem seems to be fixed.
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353
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354 jobu = jobv = 'N';
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355 ncol_u = nrow_vt = 1;
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356 break;
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357
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358 default:
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359 break;
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360 }
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361
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362 type_computed = svd_type;
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363
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364 if (! (jobu == 'N' || jobu == 'O'))
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365 left_sm.resize (m, ncol_u);
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366
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367 float *u = left_sm.fortran_vec ();
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368
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369 sigma.resize (nrow_s, ncol_s);
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370 float *s_vec = sigma.fortran_vec ();
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371
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372 if (! (jobv == 'N' || jobv == 'O'))
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373 right_sm.resize (nrow_vt, n);
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374
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375 float *vt = right_sm.fortran_vec ();
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376
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377 // Query SGESVD for the correct dimension of WORK.
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378
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379 octave_idx_type lwork = -1;
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380
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381 Array<float> work (dim_vector (1, 1));
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382
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383 octave_idx_type one = 1;
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384 octave_idx_type m1 = std::max (m, one);
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385 octave_idx_type nrow_vt1 = std::max (nrow_vt, one);
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386
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387 if (svd_driver == svd::GESVD)
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388 {
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389 F77_XFCN (sgesvd, SGESVD, (F77_CONST_CHAR_ARG2 (&jobu, 1),
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390 F77_CONST_CHAR_ARG2 (&jobv, 1),
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391 m, n, tmp_data, m1, s_vec, u, m1, vt,
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392 nrow_vt1, work.fortran_vec (), lwork, info
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393 F77_CHAR_ARG_LEN (1)
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394 F77_CHAR_ARG_LEN (1)));
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395
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396 lwork = static_cast<octave_idx_type> (work(0));
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397 work.resize (dim_vector (lwork, 1));
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398
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399 F77_XFCN (sgesvd, SGESVD, (F77_CONST_CHAR_ARG2 (&jobu, 1),
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400 F77_CONST_CHAR_ARG2 (&jobv, 1),
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401 m, n, tmp_data, m1, s_vec, u, m1, vt,
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402 nrow_vt1, work.fortran_vec (), lwork, info
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403 F77_CHAR_ARG_LEN (1)
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404 F77_CHAR_ARG_LEN (1)));
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405
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406 }
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407 else if (svd_driver == svd::GESDD)
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408 {
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409 assert (jobu == jobv);
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410 char jobz = jobu;
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411 OCTAVE_LOCAL_BUFFER (octave_idx_type, iwork, 8*min_mn);
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412
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413 F77_XFCN (sgesdd, SGESDD, (F77_CONST_CHAR_ARG2 (&jobz, 1),
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414 m, n, tmp_data, m1, s_vec, u, m1, vt, nrow_vt1,
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415 work.fortran_vec (), lwork, iwork, info
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416 F77_CHAR_ARG_LEN (1)));
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417
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418 lwork = static_cast<octave_idx_type> (work(0));
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419 work.resize (dim_vector (lwork, 1));
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420
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421 F77_XFCN (sgesdd, SGESDD, (F77_CONST_CHAR_ARG2 (&jobz, 1),
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422 m, n, tmp_data, m1, s_vec, u, m1, vt, nrow_vt1,
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423 work.fortran_vec (), lwork, iwork, info
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424 F77_CHAR_ARG_LEN (1)));
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
425
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
426 }
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
427 else
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
428 abort ();
3336
08ad797989f8 [project @ 1999-11-03 21:41:34 by jwe]
jwe
parents: 3335
diff changeset
429
7482
29980c6b8604 don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
430 if (! (jobv == 'N' || jobv == 'O'))
29980c6b8604 don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
431 right_sm = right_sm.transpose ();
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
432
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
433 return info;
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
434 }
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
435
21273
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
436 template <>
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
437 octave_idx_type
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
438 svd<ComplexMatrix>::init (const ComplexMatrix& a, svd::type svd_type,
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
439 svd::driver svd_driver)
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
440 {
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
441 octave_idx_type info;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
442
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
443 octave_idx_type m = a.rows ();
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
444 octave_idx_type n = a.cols ();
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
445
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
446 if (m == 0 || n == 0)
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
447 return empty_init (m, n, svd_type);
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
448
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
449 ComplexMatrix atmp = a;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
450 Complex *tmp_data = atmp.fortran_vec ();
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
451
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
452 octave_idx_type min_mn = m < n ? m : n;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
453 octave_idx_type max_mn = m > n ? m : n;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
454
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
455 char jobu = 'A';
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
456 char jobv = 'A';
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
457
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
458 octave_idx_type ncol_u = m;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
459 octave_idx_type nrow_vt = n;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
460 octave_idx_type nrow_s = m;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
461 octave_idx_type ncol_s = n;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
462
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
463 switch (svd_type)
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
464 {
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
465 case svd::economy:
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
466 jobu = jobv = 'S';
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
467 ncol_u = nrow_vt = nrow_s = ncol_s = min_mn;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
468 break;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
469
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
470 case svd::sigma_only:
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
471
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
472 // Note: for this case, both jobu and jobv should be 'N', but
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
473 // there seems to be a bug in dgesvd from Lapack V2.0. To
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
474 // demonstrate the bug, set both jobu and jobv to 'N' and find
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
475 // the singular values of [eye(3), eye(3)]. The result is
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
476 // [-sqrt(2), -sqrt(2), -sqrt(2)].
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
477 //
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
478 // For Lapack 3.0, this problem seems to be fixed.
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
479
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
480 jobu = jobv = 'N';
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
481 ncol_u = nrow_vt = 1;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
482 break;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
483
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
484 default:
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
485 break;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
486 }
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
487
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
488 type_computed = svd_type;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
489
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
490 if (! (jobu == 'N' || jobu == 'O'))
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
491 left_sm.resize (m, ncol_u);
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
492
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
493 Complex *u = left_sm.fortran_vec ();
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
494
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
495 sigma.resize (nrow_s, ncol_s);
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
496 double *s_vec = sigma.fortran_vec ();
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
497
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
498 if (! (jobv == 'N' || jobv == 'O'))
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
499 right_sm.resize (nrow_vt, n);
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
500
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
501 Complex *vt = right_sm.fortran_vec ();
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
502
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
503 // Query ZGESVD for the correct dimension of WORK.
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
504
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
505 octave_idx_type lwork = -1;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
506
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
507 Array<Complex> work (dim_vector (1, 1));
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
508
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
509 octave_idx_type one = 1;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
510 octave_idx_type m1 = std::max (m, one);
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
511 octave_idx_type nrow_vt1 = std::max (nrow_vt, one);
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
512
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
513 if (svd_driver == svd::GESVD)
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
514 {
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
515 octave_idx_type lrwork = 5*max_mn;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
516 Array<double> rwork (dim_vector (lrwork, 1));
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
517
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
518 F77_XFCN (zgesvd, ZGESVD, (F77_CONST_CHAR_ARG2 (&jobu, 1),
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
519 F77_CONST_CHAR_ARG2 (&jobv, 1),
22135
407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531)
John W. Eaton <jwe@octave.org>
parents: 22133
diff changeset
520 m, n, F77_DBLE_CMPLX_ARG (tmp_data), m1, s_vec, F77_DBLE_CMPLX_ARG (u), m1, F77_DBLE_CMPLX_ARG (vt),
407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531)
John W. Eaton <jwe@octave.org>
parents: 22133
diff changeset
521 nrow_vt1, F77_DBLE_CMPLX_ARG (work.fortran_vec ()), lwork,
21273
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
522 rwork.fortran_vec (), info
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
523 F77_CHAR_ARG_LEN (1)
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
524 F77_CHAR_ARG_LEN (1)));
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
525
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
526 lwork = static_cast<octave_idx_type> (work(0).real ());
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
527 work.resize (dim_vector (lwork, 1));
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
528
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
529 F77_XFCN (zgesvd, ZGESVD, (F77_CONST_CHAR_ARG2 (&jobu, 1),
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
530 F77_CONST_CHAR_ARG2 (&jobv, 1),
22135
407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531)
John W. Eaton <jwe@octave.org>
parents: 22133
diff changeset
531 m, n, F77_DBLE_CMPLX_ARG (tmp_data), m1, s_vec, F77_DBLE_CMPLX_ARG (u), m1, F77_DBLE_CMPLX_ARG (vt),
407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531)
John W. Eaton <jwe@octave.org>
parents: 22133
diff changeset
532 nrow_vt1, F77_DBLE_CMPLX_ARG (work.fortran_vec ()), lwork,
21273
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
533 rwork.fortran_vec (), info
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
534 F77_CHAR_ARG_LEN (1)
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
535 F77_CHAR_ARG_LEN (1)));
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
536 }
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
537 else if (svd_driver == svd::GESDD)
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
538 {
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
539 assert (jobu == jobv);
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
540 char jobz = jobu;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
541
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
542 octave_idx_type lrwork;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
543 if (jobz == 'N')
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
544 lrwork = 7*min_mn;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
545 else
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
546 lrwork = 5*min_mn*min_mn + 5*min_mn;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
547 Array<double> rwork (dim_vector (lrwork, 1));
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
548
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
549 OCTAVE_LOCAL_BUFFER (octave_idx_type, iwork, 8*min_mn);
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
550
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
551 F77_XFCN (zgesdd, ZGESDD, (F77_CONST_CHAR_ARG2 (&jobz, 1),
22135
407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531)
John W. Eaton <jwe@octave.org>
parents: 22133
diff changeset
552 m, n, F77_DBLE_CMPLX_ARG (tmp_data), m1, s_vec, F77_DBLE_CMPLX_ARG (u), m1, F77_DBLE_CMPLX_ARG (vt),
407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531)
John W. Eaton <jwe@octave.org>
parents: 22133
diff changeset
553 nrow_vt1, F77_DBLE_CMPLX_ARG (work.fortran_vec ()), lwork,
21273
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
554 rwork.fortran_vec (), iwork, info
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
555 F77_CHAR_ARG_LEN (1)));
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
556
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
557 lwork = static_cast<octave_idx_type> (work(0).real ());
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
558 work.resize (dim_vector (lwork, 1));
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
559
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
560 F77_XFCN (zgesdd, ZGESDD, (F77_CONST_CHAR_ARG2 (&jobz, 1),
22135
407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531)
John W. Eaton <jwe@octave.org>
parents: 22133
diff changeset
561 m, n, F77_DBLE_CMPLX_ARG (tmp_data), m1, s_vec, F77_DBLE_CMPLX_ARG (u), m1, F77_DBLE_CMPLX_ARG (vt),
407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531)
John W. Eaton <jwe@octave.org>
parents: 22133
diff changeset
562 nrow_vt1, F77_DBLE_CMPLX_ARG (work.fortran_vec ()), lwork,
21273
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
563 rwork.fortran_vec (), iwork, info
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
564 F77_CHAR_ARG_LEN (1)));
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
565 }
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
566 else
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
567 abort ();
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
568
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
569 if (! (jobv == 'N' || jobv == 'O'))
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
570 right_sm = right_sm.hermitian ();
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
571
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
572 return info;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
573 }
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
574
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
575 template <>
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
576 octave_idx_type
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
577 svd<FloatComplexMatrix>::init (const FloatComplexMatrix& a, svd::type svd_type,
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
578 svd::driver svd_driver)
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
579 {
21273
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
580 octave_idx_type info;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
581
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
582 octave_idx_type m = a.rows ();
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
583 octave_idx_type n = a.cols ();
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
584
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
585 if (m == 0 || n == 0)
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
586 return empty_init (m, n, svd_type);
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
587
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
588 FloatComplexMatrix atmp = a;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
589 FloatComplex *tmp_data = atmp.fortran_vec ();
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
590
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
591 octave_idx_type min_mn = m < n ? m : n;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
592 octave_idx_type max_mn = m > n ? m : n;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
593
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
594 char jobu = 'A';
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
595 char jobv = 'A';
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
596
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
597 octave_idx_type ncol_u = m;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
598 octave_idx_type nrow_vt = n;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
599 octave_idx_type nrow_s = m;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
600 octave_idx_type ncol_s = n;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
601
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
602 switch (svd_type)
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
603 {
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
604 case svd::economy:
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
605 jobu = jobv = 'S';
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
606 ncol_u = nrow_vt = nrow_s = ncol_s = min_mn;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
607 break;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
608
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
609 case svd::sigma_only:
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
610
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
611 // Note: for this case, both jobu and jobv should be 'N', but
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
612 // there seems to be a bug in dgesvd from Lapack V2.0. To
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
613 // demonstrate the bug, set both jobu and jobv to 'N' and find
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
614 // the singular values of [eye(3), eye(3)]. The result is
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
615 // [-sqrt(2), -sqrt(2), -sqrt(2)].
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
616 //
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
617 // For Lapack 3.0, this problem seems to be fixed.
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
618
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
619 jobu = jobv = 'N';
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
620 ncol_u = nrow_vt = 1;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
621 break;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
622
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
623 default:
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
624 break;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
625 }
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
626
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
627 type_computed = svd_type;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
628
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
629 if (! (jobu == 'N' || jobu == 'O'))
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
630 left_sm.resize (m, ncol_u);
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
631
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
632 FloatComplex *u = left_sm.fortran_vec ();
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
633
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
634 sigma.resize (nrow_s, ncol_s);
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
635 float *s_vec = sigma.fortran_vec ();
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
636
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
637 if (! (jobv == 'N' || jobv == 'O'))
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
638 right_sm.resize (nrow_vt, n);
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
639
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
640 FloatComplex *vt = right_sm.fortran_vec ();
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
641
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
642 // Query CGESVD for the correct dimension of WORK.
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
643
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
644 octave_idx_type lwork = -1;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
645
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
646 Array<FloatComplex> work (dim_vector (1, 1));
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
647
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
648 octave_idx_type one = 1;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
649 octave_idx_type m1 = std::max (m, one);
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
650 octave_idx_type nrow_vt1 = std::max (nrow_vt, one);
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
651
21273
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
652 if (svd_driver == svd::GESVD)
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
653 {
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
654 octave_idx_type lrwork = 5*max_mn;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
655 Array<float> rwork (dim_vector (lrwork, 1));
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
656
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
657 F77_XFCN (cgesvd, CGESVD, (F77_CONST_CHAR_ARG2 (&jobu, 1),
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
658 F77_CONST_CHAR_ARG2 (&jobv, 1),
22135
407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531)
John W. Eaton <jwe@octave.org>
parents: 22133
diff changeset
659 m, n, F77_CMPLX_ARG (tmp_data), m1, s_vec, F77_CMPLX_ARG (u), m1, F77_CMPLX_ARG (vt),
407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531)
John W. Eaton <jwe@octave.org>
parents: 22133
diff changeset
660 nrow_vt1, F77_CMPLX_ARG (work.fortran_vec ()), lwork,
21273
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
661 rwork.fortran_vec (), info
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
662 F77_CHAR_ARG_LEN (1)
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
663 F77_CHAR_ARG_LEN (1)));
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
664
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
665 lwork = static_cast<octave_idx_type> (work(0).real ());
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
666 work.resize (dim_vector (lwork, 1));
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
667
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
668 F77_XFCN (cgesvd, CGESVD, (F77_CONST_CHAR_ARG2 (&jobu, 1),
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
669 F77_CONST_CHAR_ARG2 (&jobv, 1),
22135
407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531)
John W. Eaton <jwe@octave.org>
parents: 22133
diff changeset
670 m, n, F77_CMPLX_ARG (tmp_data), m1, s_vec, F77_CMPLX_ARG (u), m1, F77_CMPLX_ARG (vt),
407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531)
John W. Eaton <jwe@octave.org>
parents: 22133
diff changeset
671 nrow_vt1, F77_CMPLX_ARG (work.fortran_vec ()), lwork,
21273
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
672 rwork.fortran_vec (), info
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
673 F77_CHAR_ARG_LEN (1)
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
674 F77_CHAR_ARG_LEN (1)));
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
675 }
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
676 else if (svd_driver == svd::GESDD)
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
677 {
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
678 assert (jobu == jobv);
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
679 char jobz = jobu;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
680
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
681 octave_idx_type lrwork;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
682 if (jobz == 'N')
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
683 lrwork = 5*min_mn;
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
684 else
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
685 lrwork = min_mn * std::max (5*min_mn+7, 2*max_mn+2*min_mn+1);
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
686 Array<float> rwork (dim_vector (lrwork, 1));
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
687
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
688 OCTAVE_LOCAL_BUFFER (octave_idx_type, iwork, 8*min_mn);
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
689
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
690 F77_XFCN (cgesdd, CGESDD, (F77_CONST_CHAR_ARG2 (&jobz, 1),
22135
407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531)
John W. Eaton <jwe@octave.org>
parents: 22133
diff changeset
691 m, n, F77_CMPLX_ARG (tmp_data), m1, s_vec, F77_CMPLX_ARG (u), m1, F77_CMPLX_ARG (vt),
407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531)
John W. Eaton <jwe@octave.org>
parents: 22133
diff changeset
692 nrow_vt1, F77_CMPLX_ARG (work.fortran_vec ()), lwork,
21273
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
693 rwork.fortran_vec (), iwork, info
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
694 F77_CHAR_ARG_LEN (1)));
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
695
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
696 lwork = static_cast<octave_idx_type> (work(0).real ());
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
697 work.resize (dim_vector (lwork, 1));
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
698
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
699 F77_XFCN (cgesdd, CGESDD, (F77_CONST_CHAR_ARG2 (&jobz, 1),
22135
407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531)
John W. Eaton <jwe@octave.org>
parents: 22133
diff changeset
700 m, n, F77_CMPLX_ARG (tmp_data), m1, s_vec, F77_CMPLX_ARG (u), m1, F77_CMPLX_ARG (vt),
407c66ae1e20 reduce warnings from GCC's link-time optimization feature (bug #48531)
John W. Eaton <jwe@octave.org>
parents: 22133
diff changeset
701 nrow_vt1, F77_CMPLX_ARG (work.fortran_vec ()), lwork,
21273
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
702 rwork.fortran_vec (), iwork, info
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
703 F77_CHAR_ARG_LEN (1)));
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
704 }
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
705 else
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
706 abort ();
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
707
cbced1c09916 better use of templates for svd classes
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
708 if (! (jobv == 'N' || jobv == 'O'))
cbced1c09916 better use of templates for svd classes
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709 right_sm = right_sm.hermitian ();
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710
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711 return info;
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
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712 }
21273
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713
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714 // Instantiations we need.
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715
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716 template class svd<Matrix>;
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717
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718 template class svd<FloatMatrix>;
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719
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720 template class svd<ComplexMatrix>;
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721
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722 template class svd<FloatComplexMatrix>;