Mercurial > hg > octave-nkf
annotate liboctave/fCmplxSVD.cc @ 15283:a95432e7309c stable release-3-6-3
Version 3.6.3 released.
* configure.ac (AC_INIT): Version is now 3.6.3.
(OCTAVE_RELEASE_DATE): Now 2012-09-04.
author | John W. Eaton <jwe@octave.org> |
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date | Tue, 04 Sep 2012 13:17:13 -0400 |
parents | 72c96de7a403 |
children | 8ced82e96b48 |
rev | line source |
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1 /* |
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2 |
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3 Copyright (C) 1994-2012 John W. Eaton |
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4 |
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5 This file is part of Octave. |
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6 |
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7 Octave is free software; you can redistribute it and/or modify it |
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8 under the terms of the GNU General Public License as published by the |
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9 Free Software Foundation; either version 3 of the License, or (at your |
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10 option) any later version. |
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11 |
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12 Octave is distributed in the hope that it will be useful, but WITHOUT |
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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15 for more details. |
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16 |
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17 You should have received a copy of the GNU General Public License |
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18 along with Octave; see the file COPYING. If not, see |
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19 <http://www.gnu.org/licenses/>. |
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20 |
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21 */ |
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22 |
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23 #ifdef HAVE_CONFIG_H |
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24 #include <config.h> |
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25 #endif |
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26 |
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27 #include "fCmplxSVD.h" |
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28 #include "f77-fcn.h" |
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29 #include "lo-error.h" |
10601 | 30 #include "oct-locbuf.h" |
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31 |
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32 extern "C" |
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33 { |
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34 F77_RET_T |
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35 F77_FUNC (cgesvd, CGESVD) (F77_CONST_CHAR_ARG_DECL, |
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36 F77_CONST_CHAR_ARG_DECL, |
11495 | 37 const octave_idx_type&, const octave_idx_type&, |
38 FloatComplex*, const octave_idx_type&, float*, | |
39 FloatComplex*, const octave_idx_type&, | |
40 FloatComplex*, const octave_idx_type&, | |
41 FloatComplex*, const octave_idx_type&, | |
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42 float*, octave_idx_type& |
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43 F77_CHAR_ARG_LEN_DECL |
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44 F77_CHAR_ARG_LEN_DECL); |
10601 | 45 |
46 F77_RET_T | |
47 F77_FUNC (cgesdd, CGESDD) (F77_CONST_CHAR_ARG_DECL, | |
11495 | 48 const octave_idx_type&, const octave_idx_type&, |
49 FloatComplex*, const octave_idx_type&, float*, | |
50 FloatComplex*, const octave_idx_type&, | |
51 FloatComplex*, const octave_idx_type&, | |
52 FloatComplex*, const octave_idx_type&, | |
10601 | 53 float*, octave_idx_type *, octave_idx_type& |
54 F77_CHAR_ARG_LEN_DECL); | |
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55 } |
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56 |
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57 FloatComplexMatrix |
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58 FloatComplexSVD::left_singular_matrix (void) const |
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59 { |
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60 if (type_computed == SVD::sigma_only) |
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61 { |
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62 (*current_liboctave_error_handler) |
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63 ("FloatComplexSVD: U not computed because type == SVD::sigma_only"); |
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64 return FloatComplexMatrix (); |
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65 } |
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66 else |
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67 return left_sm; |
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68 } |
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69 |
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70 FloatComplexMatrix |
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71 FloatComplexSVD::right_singular_matrix (void) const |
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72 { |
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73 if (type_computed == SVD::sigma_only) |
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74 { |
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75 (*current_liboctave_error_handler) |
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76 ("FloatComplexSVD: V not computed because type == SVD::sigma_only"); |
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77 return FloatComplexMatrix (); |
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78 } |
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79 else |
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80 return right_sm; |
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81 } |
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82 |
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83 octave_idx_type |
11518 | 84 FloatComplexSVD::init (const FloatComplexMatrix& a, SVD::type svd_type, |
85 SVD::driver svd_driver) | |
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86 { |
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87 octave_idx_type info; |
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88 |
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89 octave_idx_type m = a.rows (); |
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90 octave_idx_type n = a.cols (); |
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91 |
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92 FloatComplexMatrix atmp = a; |
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93 FloatComplex *tmp_data = atmp.fortran_vec (); |
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94 |
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95 octave_idx_type min_mn = m < n ? m : n; |
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96 octave_idx_type max_mn = m > n ? m : n; |
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97 |
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98 char jobu = 'A'; |
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99 char jobv = 'A'; |
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100 |
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101 octave_idx_type ncol_u = m; |
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102 octave_idx_type nrow_vt = n; |
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103 octave_idx_type nrow_s = m; |
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104 octave_idx_type ncol_s = n; |
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105 |
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106 switch (svd_type) |
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107 { |
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108 case SVD::economy: |
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109 jobu = jobv = 'S'; |
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110 ncol_u = nrow_vt = nrow_s = ncol_s = min_mn; |
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111 break; |
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112 |
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113 case SVD::sigma_only: |
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114 |
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115 // Note: for this case, both jobu and jobv should be 'N', but |
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116 // there seems to be a bug in dgesvd from Lapack V2.0. To |
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117 // demonstrate the bug, set both jobu and jobv to 'N' and find |
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118 // the singular values of [eye(3), eye(3)]. The result is |
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119 // [-sqrt(2), -sqrt(2), -sqrt(2)]. |
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120 // |
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121 // For Lapack 3.0, this problem seems to be fixed. |
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122 |
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123 jobu = 'N'; |
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124 jobv = 'N'; |
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125 ncol_u = nrow_vt = 1; |
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126 break; |
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127 |
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128 default: |
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129 break; |
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130 } |
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131 |
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132 type_computed = svd_type; |
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133 |
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134 if (! (jobu == 'N' || jobu == 'O')) |
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135 left_sm.resize (m, ncol_u); |
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136 |
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137 FloatComplex *u = left_sm.fortran_vec (); |
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138 |
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139 sigma.resize (nrow_s, ncol_s); |
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140 float *s_vec = sigma.fortran_vec (); |
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141 |
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142 if (! (jobv == 'N' || jobv == 'O')) |
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143 right_sm.resize (nrow_vt, n); |
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144 |
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145 FloatComplex *vt = right_sm.fortran_vec (); |
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146 |
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147 octave_idx_type lrwork = 5*max_mn; |
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148 |
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149 Array<float> rwork (dim_vector (lrwork, 1)); |
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150 |
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151 // Ask ZGESVD what the dimension of WORK should be. |
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152 |
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153 octave_idx_type lwork = -1; |
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154 |
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155 Array<FloatComplex> work (dim_vector (1, 1)); |
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156 |
10258 | 157 octave_idx_type one = 1; |
158 octave_idx_type m1 = std::max (m, one), nrow_vt1 = std::max (nrow_vt, one); | |
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159 |
10601 | 160 if (svd_driver == SVD::GESVD) |
161 { | |
162 F77_XFCN (cgesvd, CGESVD, (F77_CONST_CHAR_ARG2 (&jobu, 1), | |
163 F77_CONST_CHAR_ARG2 (&jobv, 1), | |
164 m, n, tmp_data, m1, s_vec, u, m1, vt, | |
165 nrow_vt1, work.fortran_vec (), lwork, | |
166 rwork.fortran_vec (), info | |
167 F77_CHAR_ARG_LEN (1) | |
168 F77_CHAR_ARG_LEN (1))); | |
169 | |
170 lwork = static_cast<octave_idx_type> (work(0).real ()); | |
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171 work.resize (dim_vector (lwork, 1)); |
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172 |
10601 | 173 F77_XFCN (cgesvd, CGESVD, (F77_CONST_CHAR_ARG2 (&jobu, 1), |
174 F77_CONST_CHAR_ARG2 (&jobv, 1), | |
175 m, n, tmp_data, m1, s_vec, u, m1, vt, | |
176 nrow_vt1, work.fortran_vec (), lwork, | |
177 rwork.fortran_vec (), info | |
178 F77_CHAR_ARG_LEN (1) | |
179 F77_CHAR_ARG_LEN (1))); | |
180 } | |
181 else if (svd_driver == SVD::GESDD) | |
182 { | |
183 assert (jobu == jobv); | |
184 char jobz = jobu; | |
185 OCTAVE_LOCAL_BUFFER (octave_idx_type, iwork, 8*min_mn); | |
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186 |
10601 | 187 F77_XFCN (cgesdd, CGESDD, (F77_CONST_CHAR_ARG2 (&jobz, 1), |
188 m, n, tmp_data, m1, s_vec, u, m1, vt, | |
189 nrow_vt1, work.fortran_vec (), lwork, | |
190 rwork.fortran_vec (), iwork, info | |
191 F77_CHAR_ARG_LEN (1))); | |
192 | |
193 lwork = static_cast<octave_idx_type> (work(0).real ()); | |
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194 work.resize (dim_vector (lwork, 1)); |
10601 | 195 |
196 F77_XFCN (cgesdd, CGESDD, (F77_CONST_CHAR_ARG2 (&jobz, 1), | |
197 m, n, tmp_data, m1, s_vec, u, m1, vt, | |
198 nrow_vt1, work.fortran_vec (), lwork, | |
199 rwork.fortran_vec (), iwork, info | |
200 F77_CHAR_ARG_LEN (1))); | |
201 } | |
202 else | |
203 assert (0); // impossible | |
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204 |
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205 if (! (jobv == 'N' || jobv == 'O')) |
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206 right_sm = right_sm.hermitian (); |
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207 |
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208 return info; |
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209 } |