annotate liboctave/dbleQR.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 #ifdef HAVE_CONFIG_H
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25 #include <config.h>
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26 #endif
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27
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28 #include "dbleQR.h"
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29 #include "f77-fcn.h"
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30 #include "lo-error.h"
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31 #include "Range.h"
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32 #include "idx-vector.h"
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33
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34 extern "C"
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35 {
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36 F77_RET_T
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37 F77_FUNC (dgeqrf, DGEQRF) (const octave_idx_type&, const octave_idx_type&, double*, const octave_idx_type&,
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38 double*, double*, const octave_idx_type&, octave_idx_type&);
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39
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40 F77_RET_T
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41 F77_FUNC (dorgqr, DORGQR) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, double*,
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42 const octave_idx_type&, double*, double*, const octave_idx_type&, octave_idx_type&);
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43
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44 // these come from qrupdate
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45
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46 F77_RET_T
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47 F77_FUNC (dqr1up, DQR1UP) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&,
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48 double*, double*, const double*, const double*);
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49
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50 F77_RET_T
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51 F77_FUNC (dqrinc, DQRINC) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&,
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52 double*, const double*, double*, const octave_idx_type&, const double*);
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53
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54 F77_RET_T
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55 F77_FUNC (dqrdec, DQRDEC) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&,
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56 double*, const double*, double*, const octave_idx_type&);
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57
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58 F77_RET_T
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59 F77_FUNC (dqrinr, DQRINR) (const octave_idx_type&, const octave_idx_type&,
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60 const double*, double*, const double*, double*,
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61 const octave_idx_type&, const double*);
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62
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63 F77_RET_T
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64 F77_FUNC (dqrder, DQRDER) (const octave_idx_type&, const octave_idx_type&,
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65 const double*, double*, const double*, double *,
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66 const octave_idx_type&);
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67 }
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68
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69 QR::QR (const Matrix& a, QR::type qr_type)
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70 : q (), r ()
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71 {
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72 init (a, qr_type);
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73 }
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74
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75 void
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76 QR::init (const Matrix& a, QR::type qr_type)
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77 {
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78 octave_idx_type m = a.rows ();
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79 octave_idx_type n = a.cols ();
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80
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81 if (m == 0 || n == 0)
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82 {
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83 (*current_liboctave_error_handler) ("QR must have non-empty matrix");
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84 return;
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85 }
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86
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87 octave_idx_type min_mn = m < n ? m : n;
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88 Array<double> tau (min_mn);
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89 double *ptau = tau.fortran_vec ();
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90
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91 octave_idx_type lwork = 32*n;
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92 Array<double> work (lwork);
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93 double *pwork = work.fortran_vec ();
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94
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95 octave_idx_type info = 0;
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96
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97 Matrix A_fact = a;
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98 if (m > n && qr_type != QR::economy)
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99 A_fact.resize (m, m, 0.0);
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100
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101 double *tmp_data = A_fact.fortran_vec ();
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102
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103 F77_XFCN (dgeqrf, DGEQRF, (m, n, tmp_data, m, ptau, pwork, lwork, info));
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104
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105 if (qr_type == QR::raw)
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106 {
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107 for (octave_idx_type j = 0; j < min_mn; j++)
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108 {
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109 octave_idx_type limit = j < min_mn - 1 ? j : min_mn - 1;
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110 for (octave_idx_type i = limit + 1; i < m; i++)
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111 A_fact.elem (i, j) *= tau.elem (j);
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112 }
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113
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114 r = A_fact;
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115
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116 if (m > n)
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117 r.resize (m, n);
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118 }
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119 else
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120 {
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121 octave_idx_type n2 = (qr_type == QR::economy) ? min_mn : m;
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122
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123 if (qr_type == QR::economy && m > n)
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124 r.resize (n, n, 0.0);
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125 else
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126 r.resize (m, n, 0.0);
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127
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128 for (octave_idx_type j = 0; j < n; j++)
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129 {
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130 octave_idx_type limit = j < min_mn-1 ? j : min_mn-1;
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131 for (octave_idx_type i = 0; i <= limit; i++)
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132 r.elem (i, j) = tmp_data[m*j+i];
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133 }
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134
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135 lwork = 32 * n2;
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136 work.resize (lwork);
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137 double *pwork2 = work.fortran_vec ();
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138
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139 F77_XFCN (dorgqr, DORGQR, (m, n2, min_mn, tmp_data, m, ptau,
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140 pwork2, lwork, info));
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141
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142 q = A_fact;
29980c6b8604 don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
143 q.resize (m, n2);
1921
ce0db0ca0729 [project @ 1996-02-11 02:31:58 by jwe]
jwe
parents: 1882
diff changeset
144 }
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
145 }
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
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diff changeset
146
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diff changeset
147 QR::QR (const Matrix& q, const Matrix& r)
56be6f31dd4e implementation of QR factorization updating
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diff changeset
148 {
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
149 if (q.columns () != r.rows ())
56be6f31dd4e implementation of QR factorization updating
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diff changeset
150 {
56be6f31dd4e implementation of QR factorization updating
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diff changeset
151 (*current_liboctave_error_handler) ("QR dimensions mismatch");
56be6f31dd4e implementation of QR factorization updating
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diff changeset
152 return;
56be6f31dd4e implementation of QR factorization updating
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diff changeset
153 }
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
154
56be6f31dd4e implementation of QR factorization updating
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diff changeset
155 this->q = q;
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
156 this->r = r;
56be6f31dd4e implementation of QR factorization updating
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diff changeset
157 }
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
158
56be6f31dd4e implementation of QR factorization updating
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diff changeset
159 void
56be6f31dd4e implementation of QR factorization updating
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diff changeset
160 QR::update (const Matrix& u, const Matrix& v)
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
161 {
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
162 octave_idx_type m = q.rows ();
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
163 octave_idx_type n = r.columns ();
56be6f31dd4e implementation of QR factorization updating
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diff changeset
164 octave_idx_type k = q.columns ();
56be6f31dd4e implementation of QR factorization updating
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diff changeset
165
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
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diff changeset
166 if (u.length () == m && v.length () == n)
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
167 F77_XFCN (dqr1up, DQR1UP, (m, n, k, q.fortran_vec (), r.fortran_vec (),
56be6f31dd4e implementation of QR factorization updating
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diff changeset
168 u.data (), v.data ()));
56be6f31dd4e implementation of QR factorization updating
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diff changeset
169 else
56be6f31dd4e implementation of QR factorization updating
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diff changeset
170 (*current_liboctave_error_handler) ("QR update dimensions mismatch");
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
171 }
56be6f31dd4e implementation of QR factorization updating
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diff changeset
172
56be6f31dd4e implementation of QR factorization updating
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diff changeset
173 void
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diff changeset
174 QR::insert_col (const Matrix& u, octave_idx_type j)
56be6f31dd4e implementation of QR factorization updating
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diff changeset
175 {
56be6f31dd4e implementation of QR factorization updating
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diff changeset
176 octave_idx_type m = q.rows ();
56be6f31dd4e implementation of QR factorization updating
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diff changeset
177 octave_idx_type n = r.columns ();
56be6f31dd4e implementation of QR factorization updating
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diff changeset
178 octave_idx_type k = q.columns ();
56be6f31dd4e implementation of QR factorization updating
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diff changeset
179
56be6f31dd4e implementation of QR factorization updating
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diff changeset
180 if (u.length () != m)
56be6f31dd4e implementation of QR factorization updating
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diff changeset
181 (*current_liboctave_error_handler) ("QR insert dimensions mismatch");
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182 else if (j < 0 || j > n)
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56be6f31dd4e implementation of QR factorization updating
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diff changeset
183 (*current_liboctave_error_handler) ("QR insert index out of range");
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184 else
56be6f31dd4e implementation of QR factorization updating
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diff changeset
185 {
56be6f31dd4e implementation of QR factorization updating
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diff changeset
186 Matrix r1 (m, n+1);
56be6f31dd4e implementation of QR factorization updating
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diff changeset
187
56be6f31dd4e implementation of QR factorization updating
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diff changeset
188 F77_XFCN (dqrinc, DQRINC, (m, n, k, q.fortran_vec (), r.data (),
7560
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diff changeset
189 r1.fortran_vec (), j+1, u.data ()));
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diff changeset
190
56be6f31dd4e implementation of QR factorization updating
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diff changeset
191 r = r1;
56be6f31dd4e implementation of QR factorization updating
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192 }
56be6f31dd4e implementation of QR factorization updating
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193 }
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
194
56be6f31dd4e implementation of QR factorization updating
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diff changeset
195 void
56be6f31dd4e implementation of QR factorization updating
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diff changeset
196 QR::delete_col (octave_idx_type j)
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
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diff changeset
197 {
56be6f31dd4e implementation of QR factorization updating
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diff changeset
198 octave_idx_type m = q.rows ();
56be6f31dd4e implementation of QR factorization updating
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diff changeset
199 octave_idx_type k = r.rows ();
56be6f31dd4e implementation of QR factorization updating
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diff changeset
200 octave_idx_type n = r.columns ();
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 if (k < m && k < n)
56be6f31dd4e implementation of QR factorization updating
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diff changeset
203 (*current_liboctave_error_handler) ("QR delete dimensions mismatch");
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diff changeset
204 else if (j < 0 || j > n-1)
7553
56be6f31dd4e implementation of QR factorization updating
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diff changeset
205 (*current_liboctave_error_handler) ("QR delete index out of range");
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
206 else
56be6f31dd4e implementation of QR factorization updating
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diff changeset
207 {
56be6f31dd4e implementation of QR factorization updating
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diff changeset
208 Matrix r1 (k, n-1);
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
209
56be6f31dd4e implementation of QR factorization updating
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diff changeset
210 F77_XFCN (dqrdec, DQRDEC, (m, n, k, q.fortran_vec (), r.data (),
7560
0ef0f9802a37 modify QR updating methods to use 0-based indexing
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diff changeset
211 r1.fortran_vec (), j+1));
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diff changeset
212
56be6f31dd4e implementation of QR factorization updating
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diff changeset
213 r = r1;
56be6f31dd4e implementation of QR factorization updating
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diff changeset
214 }
56be6f31dd4e implementation of QR factorization updating
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diff changeset
215 }
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
216
56be6f31dd4e implementation of QR factorization updating
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diff changeset
217 void
56be6f31dd4e implementation of QR factorization updating
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diff changeset
218 QR::insert_row (const Matrix& u, octave_idx_type j)
56be6f31dd4e implementation of QR factorization updating
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diff changeset
219 {
56be6f31dd4e implementation of QR factorization updating
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diff changeset
220 octave_idx_type m = r.rows ();
56be6f31dd4e implementation of QR factorization updating
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diff changeset
221 octave_idx_type n = r.columns ();
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
222
56be6f31dd4e implementation of QR factorization updating
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diff changeset
223 if (! q.is_square () || u.length () != n)
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
224 (*current_liboctave_error_handler) ("QR insert dimensions mismatch");
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diff changeset
225 else if (j < 0 || j > m)
7553
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diff changeset
226 (*current_liboctave_error_handler) ("QR insert index out of range");
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diff changeset
227 else
56be6f31dd4e implementation of QR factorization updating
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diff changeset
228 {
56be6f31dd4e implementation of QR factorization updating
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diff changeset
229 Matrix q1 (m+1, m+1);
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
230 Matrix r1 (m+1, n);
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
231
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
232 F77_XFCN (dqrinr, DQRINR, (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
233 r.data (), r1.fortran_vec (), j+1, u.data ()));
7553
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
234
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
235 q = q1;
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
236 r = r1;
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
237 }
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
238 }
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
239
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
240 void
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
241 QR::delete_row (octave_idx_type j)
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
242 {
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
243 octave_idx_type m = r.rows ();
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
244 octave_idx_type n = r.columns ();
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
245
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
246 if (! q.is_square ())
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
247 (*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
248 else if (j < 0 || j > m-1)
7553
56be6f31dd4e implementation of QR factorization updating
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diff changeset
249 (*current_liboctave_error_handler) ("QR delete index out of range");
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
250 else
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
251 {
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
252 Matrix q1 (m-1, m-1);
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
253 Matrix r1 (m-1, n);
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
254
56be6f31dd4e implementation of QR factorization updating
Jaroslav Hajek <highegg@gmail.com>
parents: 7482
diff changeset
255 F77_XFCN (dqrder, DQRDER, (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
256 r.data (), r1.fortran_vec (), j+1 ));
7553
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
257
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
258 q = q1;
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
259 r = r1;
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
260 }
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
261 }
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
262
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
263 void
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
264 QR::economize (void)
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
265 {
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
266 octave_idx_type r_nc = r.columns ();
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
267
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
268 if (r.rows () > r_nc)
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
269 {
56be6f31dd4e implementation of QR factorization updating
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parents: 7482
diff changeset
270 q.resize (q.rows (), r_nc);
56be6f31dd4e implementation of QR factorization updating
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diff changeset
271 r.resize (r_nc, r_nc);
56be6f31dd4e implementation of QR factorization updating
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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
56be6f31dd4e implementation of QR factorization updating
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diff changeset
275
457
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
276 /*
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
277 ;;; Local Variables: ***
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
278 ;;; mode: C++ ***
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
279 ;;; End: ***
3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
jwe
parents:
diff changeset
280 */