annotate liboctave/CmplxQR.cc @ 7560:0ef0f9802a37

modify QR updating methods to use 0-based indexing
author Jaroslav Hajek <highegg@gmail.com>
date Wed, 05 Mar 2008 14:24:33 -0500
parents 07522d7dcdf8
children efccca5f2ad7
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1 /*
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2
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3 Copyright (C) 1994, 1995, 1996, 1997, 2002, 2003, 2004, 2005, 2007
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4 John W. Eaton
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5
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6 This file is part of Octave.
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7
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8 Octave is free software; you can redistribute it and/or modify it
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9 under the terms of the GNU General Public License as published by the
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10 Free Software Foundation; either version 3 of the License, or (at your
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11 option) any later version.
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12
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13 Octave is distributed in the hope that it will be useful, but WITHOUT
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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16 for more details.
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17
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18 You should have received a copy of the GNU General Public License
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19 along with Octave; see the file COPYING. If not, see
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20 <http://www.gnu.org/licenses/>.
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21
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22 */
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23
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24 // updating/downdating by Jaroslav Hajek 2008
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25
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26 #ifdef HAVE_CONFIG_H
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27 #include <config.h>
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28 #endif
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29
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30 #include "CmplxQR.h"
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31 #include "f77-fcn.h"
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32 #include "lo-error.h"
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33 #include "Range.h"
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34 #include "idx-vector.h"
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35
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36 extern "C"
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37 {
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38 F77_RET_T
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39 F77_FUNC (zgeqrf, ZGEQRF) (const octave_idx_type&, const octave_idx_type&, Complex*,
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40 const octave_idx_type&, Complex*, Complex*,
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41 const octave_idx_type&, octave_idx_type&);
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42
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43 F77_RET_T
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44 F77_FUNC (zungqr, ZUNGQR) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&,
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45 Complex*, const octave_idx_type&, Complex*,
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46 Complex*, const octave_idx_type&, octave_idx_type&);
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47
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48 // these come from qrupdate
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49
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50 F77_RET_T
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51 F77_FUNC (zqr1up, ZQR1UP) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&,
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52 Complex*, Complex*, const Complex*, const Complex*);
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53
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54 F77_RET_T
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55 F77_FUNC (zqrinc, ZQRINC) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&,
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56 Complex*, const Complex*, Complex*, const octave_idx_type&, const Complex*);
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57
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58 F77_RET_T
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59 F77_FUNC (zqrdec, ZQRDEC) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&,
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60 Complex*, const Complex*, Complex*, const octave_idx_type&);
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61
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62 F77_RET_T
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63 F77_FUNC (zqrinr, ZQRINR) (const octave_idx_type&, const octave_idx_type&,
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64 const Complex*, Complex*, const Complex*, Complex*,
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65 const octave_idx_type&, const Complex*);
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66
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67 F77_RET_T
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68 F77_FUNC (zqrder, ZQRDER) (const octave_idx_type&, const octave_idx_type&,
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69 const Complex*, Complex*, const Complex*, Complex *,
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70 const octave_idx_type&);
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71 }
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72
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73 ComplexQR::ComplexQR (const ComplexMatrix& a, QR::type qr_type)
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74 : q (), r ()
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75 {
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76 init (a, qr_type);
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77 }
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78
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79 void
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80 ComplexQR::init (const ComplexMatrix& a, QR::type qr_type)
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81 {
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82 octave_idx_type m = a.rows ();
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83 octave_idx_type n = a.cols ();
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84
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85 if (m == 0 || n == 0)
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86 {
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87 (*current_liboctave_error_handler)
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88 ("ComplexQR must have non-empty matrix");
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89 return;
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90 }
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91
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92 octave_idx_type min_mn = m < n ? m : n;
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93
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94 Array<Complex> tau (min_mn);
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95 Complex *ptau = tau.fortran_vec ();
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96
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97 octave_idx_type lwork = 32*n;
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98 Array<Complex> work (lwork);
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99 Complex *pwork = work.fortran_vec ();
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100
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101 octave_idx_type info = 0;
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102
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103 ComplexMatrix A_fact;
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104 if (m > n && qr_type != QR::economy)
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105 {
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106 A_fact.resize (m, m);
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107 A_fact.insert (a, 0, 0);
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108 }
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109 else
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110 A_fact = a;
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111
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112 Complex *tmp_data = A_fact.fortran_vec ();
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113
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114 F77_XFCN (zgeqrf, ZGEQRF, (m, n, tmp_data, m, ptau, pwork, lwork, info));
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115
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116 if (qr_type == QR::raw)
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117 {
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118 for (octave_idx_type j = 0; j < min_mn; j++)
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119 {
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120 octave_idx_type limit = j < min_mn - 1 ? j : min_mn - 1;
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121 for (octave_idx_type i = limit + 1; i < m; i++)
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122 A_fact.elem (i, j) *= tau.elem (j);
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123 }
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124
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125 r = A_fact;
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126
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127 if (m > n)
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128 r.resize (m, n);
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129 }
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130 else
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131 {
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132 octave_idx_type n2 = (qr_type == QR::economy) ? min_mn : m;
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133
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134 if (qr_type == QR::economy && m > n)
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135 r.resize (n, n, 0.0);
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136 else
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137 r.resize (m, n, 0.0);
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138
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139 for (octave_idx_type j = 0; j < n; j++)
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140 {
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141 octave_idx_type limit = j < min_mn-1 ? j : min_mn-1;
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142 for (octave_idx_type i = 0; i <= limit; i++)
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143 r.elem (i, j) = A_fact.elem (i, j);
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John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
144 }
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
145
7482
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John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
146 lwork = 32 * n2;
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diff changeset
147 work.resize (lwork);
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John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
148 Complex *pwork2 = work.fortran_vec ();
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
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diff changeset
149
7482
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John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
150 F77_XFCN (zungqr, ZUNGQR, (m, n2, min_mn, tmp_data, m, ptau,
29980c6b8604 don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
151 pwork2, lwork, info));
29980c6b8604 don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
152
29980c6b8604 don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
153 q = A_fact;
29980c6b8604 don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
154 q.resize (m, n2);
1921
ce0db0ca0729 [project @ 1996-02-11 02:31:58 by jwe]
jwe
parents: 1882
diff changeset
155 }
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
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parents:
diff changeset
156 }
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
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diff changeset
157
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56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
158 ComplexQR::ComplexQR (const ComplexMatrix &q, const ComplexMatrix& r)
56be6f31dd4e implementation of QR factorization updating
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diff changeset
159 {
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
160 if (q.columns () != r.rows ())
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
161 {
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
162 (*current_liboctave_error_handler) ("QR dimensions mismatch");
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
163 return;
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
164 }
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
165
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
166 this->q = q;
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
167 this->r = r;
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
168 }
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
169
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
170 void
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
171 ComplexQR::update (const ComplexMatrix& u, const ComplexMatrix& v)
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
172 {
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
173 octave_idx_type m = q.rows ();
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
174 octave_idx_type n = r.columns ();
56be6f31dd4e implementation of QR factorization updating
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diff changeset
175 octave_idx_type k = q.columns ();
56be6f31dd4e implementation of QR factorization updating
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diff changeset
176
7559
07522d7dcdf8 fixes to QR and Cholesky updating code
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parents: 7554
diff changeset
177 if (u.length () == m && v.length () == n)
7553
56be6f31dd4e implementation of QR factorization updating
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diff changeset
178 F77_XFCN (zqr1up, ZQR1UP, (m, n, k, q.fortran_vec (), r.fortran_vec (),
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
179 u.data (), v.data ()));
7559
07522d7dcdf8 fixes to QR and Cholesky updating code
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parents: 7554
diff changeset
180 else
07522d7dcdf8 fixes to QR and Cholesky updating code
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parents: 7554
diff changeset
181 (*current_liboctave_error_handler) ("QR update dimensions mismatch");
7553
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182 }
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
183
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
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diff changeset
184 void
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
185 ComplexQR::insert_col (const ComplexMatrix& u, octave_idx_type j)
56be6f31dd4e implementation of QR factorization updating
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diff changeset
186 {
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
187 octave_idx_type m = q.rows ();
56be6f31dd4e implementation of QR factorization updating
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diff changeset
188 octave_idx_type n = r.columns ();
56be6f31dd4e implementation of QR factorization updating
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diff changeset
189 octave_idx_type k = q.columns ();
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
190
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
191 if (u.length () != m)
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
192 (*current_liboctave_error_handler) ("QR insert dimensions mismatch");
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diff changeset
193 else if (j < 0 || j > n)
7553
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
194 (*current_liboctave_error_handler) ("QR insert index out of range");
56be6f31dd4e implementation of QR factorization updating
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diff changeset
195 else
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
196 {
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
197 ComplexMatrix r1 (m,n+1);
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
198
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
199 F77_XFCN (zqrinc, ZQRINC, (m, n, k, q.fortran_vec (), r.data (),
7560
0ef0f9802a37 modify QR updating methods to use 0-based indexing
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parents: 7559
diff changeset
200 r1.fortran_vec (), j+1, u.data ()));
7553
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
201
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
202 r = r1;
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
203 }
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
204 }
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
205
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
206 void
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
207 ComplexQR::delete_col (octave_idx_type j)
56be6f31dd4e implementation of QR factorization updating
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diff changeset
208 {
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
209 octave_idx_type m = q.rows ();
56be6f31dd4e implementation of QR factorization updating
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diff changeset
210 octave_idx_type k = r.rows ();
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
211 octave_idx_type n = r.columns ();
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
212
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
213 if (k < m && k < n)
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
214 (*current_liboctave_error_handler) ("QR delete dimensions mismatch");
7560
0ef0f9802a37 modify QR updating methods to use 0-based indexing
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parents: 7559
diff changeset
215 else if (j < 0 || j > n-1)
7553
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
216 (*current_liboctave_error_handler) ("QR delete index out of range");
56be6f31dd4e implementation of QR factorization updating
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diff changeset
217 else
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
218 {
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
219 ComplexMatrix r1 (k, n-1);
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
220
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
221 F77_XFCN (zqrdec, ZQRDEC, (m, n, k, q.fortran_vec (), r.data (),
7560
0ef0f9802a37 modify QR updating methods to use 0-based indexing
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parents: 7559
diff changeset
222 r1.fortran_vec (), j+1));
7553
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
223
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
224 r = r1;
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
225 }
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
226 }
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
227
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
228 void
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
229 ComplexQR::insert_row (const ComplexMatrix& u, octave_idx_type j)
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
230 {
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
231 octave_idx_type m = r.rows ();
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
232 octave_idx_type n = r.columns ();
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
233
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
234 if (! q.is_square () || u.length () != n)
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
235 (*current_liboctave_error_handler) ("QR insert dimensions mismatch");
7560
0ef0f9802a37 modify QR updating methods to use 0-based indexing
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parents: 7559
diff changeset
236 else if (j < 0 || j > m)
7553
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
237 (*current_liboctave_error_handler) ("QR insert index out of range");
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
238 else
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
239 {
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
240 ComplexMatrix q1 (m+1, m+1);
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
241 ComplexMatrix r1 (m+1, n);
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
242
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
243 F77_XFCN (zqrinr, ZQRINR, (m, n, q.data (), q1.fortran_vec (),
7560
0ef0f9802a37 modify QR updating methods to use 0-based indexing
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parents: 7559
diff changeset
244 r.data (), r1.fortran_vec (), j+1, u.data ()));
7553
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
245
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
246 q = q1;
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
247 r = r1;
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
248 }
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
249 }
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
250
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
251 void
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
252 ComplexQR::delete_row (octave_idx_type j)
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
253 {
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
254 octave_idx_type m = r.rows ();
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
255 octave_idx_type n = r.columns ();
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
256
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
257 if (! q.is_square ())
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
258 (*current_liboctave_error_handler) ("QR insert dimensions mismatch");
7560
0ef0f9802a37 modify QR updating methods to use 0-based indexing
Jaroslav Hajek <highegg@gmail.com>
parents: 7559
diff changeset
259 else if (j < 0 || j > m-1)
7553
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
260 (*current_liboctave_error_handler) ("QR delete index out of range");
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
261 else
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
262 {
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
263 ComplexMatrix q1 (m-1, m-1);
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
264 ComplexMatrix r1 (m-1, n);
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
265
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
266 F77_XFCN (zqrder, ZQRDER, (m, n, q.data (), q1.fortran_vec (),
7560
0ef0f9802a37 modify QR updating methods to use 0-based indexing
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parents: 7559
diff changeset
267 r.data (), r1.fortran_vec (), j+1 ));
7553
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
268
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
269 q = q1;
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
270 r = r1;
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
271 }
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
272 }
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
273
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
274 void
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
275 ComplexQR::economize (void)
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
276 {
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
277 octave_idx_type r_nc = r.columns ();
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
278
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
279 if (r.rows () > r_nc)
56be6f31dd4e implementation of QR factorization updating
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diff changeset
280 {
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
281 q.resize (q.rows (), r_nc);
56be6f31dd4e implementation of QR factorization updating
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diff changeset
282 r.resize (r_nc, r_nc);
56be6f31dd4e implementation of QR factorization updating
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diff changeset
283 }
56be6f31dd4e implementation of QR factorization updating
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diff changeset
284 }
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
285
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
286 /*
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
287 ;;; Local Variables: ***
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
288 ;;; mode: C++ ***
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
289 ;;; End: ***
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
290 */