Mercurial > octave
annotate liboctave/numeric/qr.cc @ 22322:93b3cdd36854
move most f77 function decls to separate header files
* liboctave/numeric/lo-amos-proto.h,
liboctave/numeric/lo-arpack-proto.h,
liboctave/numeric/lo-blas-proto.h,
liboctave/numeric/lo-fftpack-proto.h,
liboctave/numeric/lo-lapack-proto.h,
liboctave/numeric/lo-qrupdate-proto.h,
liboctave/numeric/lo-ranlib-proto.h,
liboctave/numeric/lo-slatec-proto.h: New files.
* liboctave/numeric/module.mk: Update.
* __pchip_deriv__.cc, dot.cc, interpreter.cc, ordschur.cc, qz.cc,
CColVector.cc, CMatrix.cc, CNDArray.cc, CRowVector.cc, CSparse.cc,
dColVector.cc, dMatrix.cc, dNDArray.cc, dRowVector.cc, dSparse.cc,
fCColVector.cc, fCMatrix.cc, fCNDArray.cc, fCRowVector.cc,
fColVector.cc, fMatrix.cc, fNDArray.cc, fRowVector.cc, EIG.cc,
aepbalance.cc, chol.cc, eigs-base.cc, fEIG.cc, gepbalance.cc, gsvd.cc,
hess.cc, lo-specfun.cc, lu.cc, oct-rand.cc, qr.cc, qrp.cc,
randpoisson.cc, schur.cc, sparse-qr.cc, svd.cc:
Use new header files.
author | John W. Eaton <jwe@octave.org> |
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date | Wed, 17 Aug 2016 00:18:08 -0400 |
parents | 6ca3acf5fad8 |
children | bac0d6f07a3e |
rev | line source |
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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 Copyright (C) 2008-2009 Jaroslav Hajek |
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5 Copyright (C) 2009 VZLU Prague |
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6 |
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7 This file is part of Octave. |
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8 |
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9 Octave is free software; you can redistribute it and/or modify it |
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10 under the terms of the GNU General Public License as published by the |
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11 Free Software Foundation; either version 3 of the License, or (at your |
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12 option) any later version. |
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13 |
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14 Octave is distributed in the hope that it will be useful, but WITHOUT |
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15 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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16 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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17 for more details. |
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18 |
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19 You should have received a copy of the GNU General Public License |
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20 along with Octave; see the file COPYING. If not, see |
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21 <http://www.gnu.org/licenses/>. |
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22 |
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23 */ |
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24 |
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25 #if defined (HAVE_CONFIG_H) |
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26 # include "config.h" |
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27 #endif |
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28 |
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29 #include "CColVector.h" |
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30 #include "CMatrix.h" |
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31 #include "CRowVector.h" |
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32 #include "dColVector.h" |
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33 #include "dMatrix.h" |
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34 #include "dRowVector.h" |
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35 #include "f77-fcn.h" |
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36 #include "fCColVector.h" |
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37 #include "fCMatrix.h" |
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38 #include "fCRowVector.h" |
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39 #include "fColVector.h" |
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40 #include "fMatrix.h" |
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41 #include "fRowVector.h" |
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42 #include "idx-vector.h" |
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43 #include "lo-error.h" |
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44 #include "lo-lapack-proto.h" |
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45 #include "lo-qrupdate-proto.h" |
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46 #include "oct-locbuf.h" |
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47 #include "qr.h" |
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48 |
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49 namespace octave |
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50 { |
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51 namespace math |
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52 { |
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53 |
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54 template <typename T> |
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55 qr<T>::qr (const T& q_arg, const T& r_arg) |
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56 : q (q_arg), r (r_arg) |
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57 { |
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58 octave_idx_type q_nr = q.rows (); |
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59 octave_idx_type q_nc = q.columns (); |
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60 |
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61 octave_idx_type r_nr = r.rows (); |
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62 octave_idx_type r_nc = r.columns (); |
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63 |
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64 if (! (q_nc == r_nr && (q_nr == q_nc || (q_nr > q_nc && r_nr == r_nc)))) |
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65 (*current_liboctave_error_handler) ("QR dimensions mismatch"); |
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66 } |
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67 |
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68 template <typename T> |
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69 typename qr<T>::type |
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70 qr<T>::get_type (void) const |
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71 { |
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72 type retval; |
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73 |
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74 if (! q.is_empty () && q.is_square ()) |
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75 retval = qr<T>::std; |
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76 else if (q.rows () > q.columns () && r.is_square ()) |
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77 retval = qr<T>::economy; |
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78 else |
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79 retval = qr<T>::raw; |
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80 |
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81 return retval; |
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82 } |
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83 |
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84 template <typename T> |
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85 bool |
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86 qr<T>::regular (void) const |
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87 { |
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88 bool retval = true; |
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89 |
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90 octave_idx_type k = std::min (r.rows (), r.columns ()); |
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91 |
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92 for (octave_idx_type i = 0; i < k; i++) |
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93 { |
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94 if (r(i, i) == ELT_T ()) |
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95 { |
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96 retval = false; |
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97 break; |
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98 } |
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99 } |
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100 |
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101 return retval; |
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102 } |
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103 |
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104 #if ! defined (HAVE_QRUPDATE) |
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105 |
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106 // Replacement update methods. |
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107 |
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108 void |
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109 warn_qrupdate_once (void) |
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110 { |
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111 static bool warned = false; |
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112 |
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113 if (! warned) |
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114 { |
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115 (*current_liboctave_warning_with_id_handler) |
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116 ("Octave:missing-dependency", |
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117 "In this version of Octave, QR & Cholesky updating routines " |
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118 "simply update the matrix and recalculate factorizations. " |
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119 "To use fast algorithms, link Octave with the qrupdate library. " |
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120 "See <http://sourceforge.net/projects/qrupdate>."); |
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121 |
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122 warned = true; |
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123 } |
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124 } |
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125 |
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126 template <typename T> |
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127 void |
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128 qr<T>::update (const CV_T& u, const CV_T& v) |
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129 { |
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130 warn_qrupdate_once (); |
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131 |
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132 octave_idx_type m = q.rows (); |
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133 octave_idx_type n = r.columns (); |
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134 |
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135 if (u.numel () != m || v.numel () != n) |
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136 (*current_liboctave_error_handler) ("qrupdate: dimensions mismatch"); |
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137 |
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138 init (q*r + T (u) * T (v).hermitian (), get_type ()); |
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139 } |
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140 |
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141 template <typename T> |
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142 void |
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143 qr<T>::update (const T& u, const T& v) |
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144 { |
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145 warn_qrupdate_once (); |
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146 |
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147 octave_idx_type m = q.rows (); |
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148 octave_idx_type n = r.columns (); |
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149 |
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150 if (u.rows () != m || v.rows () != n || u.cols () != v.cols ()) |
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151 (*current_liboctave_error_handler) ("qrupdate: dimensions mismatch"); |
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152 |
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153 init (q*r + u * v.hermitian (), get_type ()); |
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154 } |
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155 |
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156 template <typename T, typename CV_T> |
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157 static |
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158 T |
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159 insert_col (const T& a, octave_idx_type i, const CV_T& x) |
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160 { |
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161 T retval (a.rows (), a.columns () + 1); |
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162 retval.assign (idx_vector::colon, idx_vector (0, i), |
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163 a.index (idx_vector::colon, idx_vector (0, i))); |
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164 retval.assign (idx_vector::colon, idx_vector (i), x); |
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165 retval.assign (idx_vector::colon, idx_vector (i+1, retval.columns ()), |
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166 a.index (idx_vector::colon, idx_vector (i, a.columns ()))); |
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167 return retval; |
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168 } |
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169 |
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170 template <typename T, typename RV_T> |
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171 static |
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172 T |
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173 insert_row (const T& a, octave_idx_type i, const RV_T& x) |
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174 { |
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175 T retval (a.rows () + 1, a.columns ()); |
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176 retval.assign (idx_vector (0, i), idx_vector::colon, |
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177 a.index (idx_vector (0, i), idx_vector::colon)); |
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178 retval.assign (idx_vector (i), idx_vector::colon, x); |
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179 retval.assign (idx_vector (i+1, retval.rows ()), idx_vector::colon, |
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180 a.index (idx_vector (i, a.rows ()), idx_vector::colon)); |
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181 return retval; |
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182 } |
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183 |
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184 template <typename T> |
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185 static |
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186 T |
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187 delete_col (const T& a, octave_idx_type i) |
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188 { |
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189 T retval = a; |
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190 retval.delete_elements (1, idx_vector (i)); |
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191 return retval; |
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192 } |
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193 |
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194 template <typename T> |
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195 static |
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196 T |
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197 delete_row (const T& a, octave_idx_type i) |
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198 { |
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199 T retval = a; |
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200 retval.delete_elements (0, idx_vector (i)); |
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201 return retval; |
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202 } |
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203 |
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204 template <typename T> |
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205 static |
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206 T |
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207 shift_cols (const T& a, octave_idx_type i, octave_idx_type j) |
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208 { |
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209 octave_idx_type n = a.columns (); |
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210 Array<octave_idx_type> p (dim_vector (n, 1)); |
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211 for (octave_idx_type k = 0; k < n; k++) p(k) = k; |
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212 if (i < j) |
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213 { |
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214 for (octave_idx_type k = i; k < j; k++) p(k) = k+1; |
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215 p(j) = i; |
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216 } |
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217 else if (j < i) |
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218 { |
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219 p(j) = i; |
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220 for (octave_idx_type k = j+1; k < i+1; k++) p(k) = k-1; |
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221 } |
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222 |
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223 return a.index (idx_vector::colon, idx_vector (p)); |
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224 } |
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225 |
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226 template <typename T> |
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227 void |
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228 qr<T>::insert_col (const CV_T& u, octave_idx_type j) |
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229 { |
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230 warn_qrupdate_once (); |
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231 |
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232 octave_idx_type m = q.rows (); |
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233 octave_idx_type n = r.columns (); |
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234 |
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235 if (u.numel () != m) |
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236 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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237 if (j < 0 || j > n) |
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238 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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239 |
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240 init (::insert_col (q*r, j, u), get_type ()); |
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241 } |
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242 |
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243 template <typename T> |
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244 void |
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245 qr<T>::insert_col (const T& u, const Array<octave_idx_type>& j) |
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246 { |
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247 warn_qrupdate_once (); |
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248 |
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249 octave_idx_type m = q.rows (); |
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250 octave_idx_type n = r.columns (); |
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251 |
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252 Array<octave_idx_type> jsi; |
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253 Array<octave_idx_type> js = j.sort (jsi, 0, ASCENDING); |
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254 octave_idx_type nj = js.numel (); |
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255 bool dups = false; |
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256 for (octave_idx_type i = 0; i < nj - 1; i++) |
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257 dups = dups && js(i) == js(i+1); |
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258 |
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259 if (dups) |
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260 (*current_liboctave_error_handler) ("qrinsert: duplicate index detected"); |
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261 if (u.numel () != m || u.columns () != nj) |
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262 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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263 if (nj > 0 && (js(0) < 0 || js(nj-1) > n)) |
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264 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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265 |
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266 if (nj > 0) |
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267 { |
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268 T a = q*r; |
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269 for (octave_idx_type i = 0; i < js.numel (); i++) |
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270 a = ::insert_col (a, js(i), u.column (i)); |
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271 init (a, get_type ()); |
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272 } |
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273 } |
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274 |
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275 template <typename T> |
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276 void |
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277 qr<T>::delete_col (octave_idx_type j) |
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278 { |
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279 warn_qrupdate_once (); |
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280 |
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281 octave_idx_type n = r.columns (); |
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282 |
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283 if (j < 0 || j > n-1) |
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284 (*current_liboctave_error_handler) ("qrdelete: index out of range"); |
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285 |
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286 init (::delete_col (q*r, j), get_type ()); |
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287 } |
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288 |
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289 template <typename T> |
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290 void |
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291 qr<T>::delete_col (const Array<octave_idx_type>& j) |
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292 { |
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293 warn_qrupdate_once (); |
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294 |
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295 octave_idx_type n = r.columns (); |
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296 |
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297 Array<octave_idx_type> jsi; |
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298 Array<octave_idx_type> js = j.sort (jsi, 0, DESCENDING); |
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299 octave_idx_type nj = js.numel (); |
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300 bool dups = false; |
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301 for (octave_idx_type i = 0; i < nj - 1; i++) |
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302 dups = dups && js(i) == js(i+1); |
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303 |
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304 if (dups) |
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305 (*current_liboctave_error_handler) ("qrinsert: duplicate index detected"); |
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306 if (nj > 0 && (js(0) > n-1 || js(nj-1) < 0)) |
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307 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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308 |
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309 if (nj > 0) |
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310 { |
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311 T a = q*r; |
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312 for (octave_idx_type i = 0; i < js.numel (); i++) |
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313 a = ::delete_col (a, js(i)); |
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314 init (a, get_type ()); |
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315 } |
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316 } |
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317 |
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318 template <typename T> |
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319 void |
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320 qr<T>::insert_row (const RV_T& u, octave_idx_type j) |
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321 { |
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322 warn_qrupdate_once (); |
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323 |
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324 octave_idx_type m = r.rows (); |
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325 octave_idx_type n = r.columns (); |
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326 |
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327 if (! q.is_square () || u.numel () != n) |
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328 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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329 if (j < 0 || j > m) |
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330 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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331 |
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332 init (::insert_row (q*r, j, u), get_type ()); |
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333 } |
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334 |
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335 template <typename T> |
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336 void |
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337 qr<T>::delete_row (octave_idx_type j) |
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338 { |
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339 warn_qrupdate_once (); |
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340 |
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341 octave_idx_type m = r.rows (); |
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342 |
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343 if (! q.is_square ()) |
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344 (*current_liboctave_error_handler) ("qrdelete: dimensions mismatch"); |
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345 if (j < 0 || j > m-1) |
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346 (*current_liboctave_error_handler) ("qrdelete: index out of range"); |
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347 |
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348 init (::delete_row (q*r, j), get_type ()); |
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349 } |
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350 |
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351 template <typename T> |
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352 void |
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353 qr<T>::shift_cols (octave_idx_type i, octave_idx_type j) |
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354 { |
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355 warn_qrupdate_once (); |
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356 |
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357 octave_idx_type n = r.columns (); |
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358 |
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359 if (i < 0 || i > n-1 || j < 0 || j > n-1) |
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360 (*current_liboctave_error_handler) ("qrshift: index out of range"); |
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361 |
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362 init (::shift_cols (q*r, i, j), get_type ()); |
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363 } |
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364 |
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365 #endif |
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366 |
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367 // Specializations. |
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368 |
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369 template <> |
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370 void |
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371 qr<Matrix>::form (octave_idx_type n, Matrix& afact, double *tau, type qr_type) |
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372 { |
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373 octave_idx_type m = afact.rows (); |
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374 octave_idx_type min_mn = std::min (m, n); |
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375 octave_idx_type info; |
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376 |
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377 if (qr_type == qr<Matrix>::raw) |
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378 { |
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379 for (octave_idx_type j = 0; j < min_mn; j++) |
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380 { |
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381 octave_idx_type limit = j < min_mn - 1 ? j : min_mn - 1; |
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382 for (octave_idx_type i = limit + 1; i < m; i++) |
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383 afact.elem (i, j) *= tau[j]; |
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384 } |
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385 |
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386 r = afact; |
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387 } |
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388 else |
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389 { |
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390 // Attempt to minimize copying. |
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391 if (m >= n) |
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392 { |
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393 // afact will become q. |
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394 q = afact; |
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395 octave_idx_type k = qr_type == qr<Matrix>::economy ? n : m; |
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396 r = Matrix (k, n); |
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397 for (octave_idx_type j = 0; j < n; j++) |
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398 { |
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399 octave_idx_type i = 0; |
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400 for (; i <= j; i++) |
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401 r.xelem (i, j) = afact.xelem (i, j); |
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402 for (; i < k; i++) |
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403 r.xelem (i, j) = 0; |
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404 } |
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405 afact = Matrix (); // optimize memory |
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406 } |
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407 else |
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408 { |
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409 // afact will become r. |
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410 q = Matrix (m, m); |
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411 for (octave_idx_type j = 0; j < m; j++) |
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412 for (octave_idx_type i = j + 1; i < m; i++) |
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413 { |
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414 q.xelem (i, j) = afact.xelem (i, j); |
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415 afact.xelem (i, j) = 0; |
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416 } |
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417 r = afact; |
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418 } |
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419 |
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420 if (m > 0) |
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421 { |
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422 octave_idx_type k = q.columns (); |
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423 // workspace query. |
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424 double rlwork; |
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425 F77_XFCN (dorgqr, DORGQR, (m, k, min_mn, q.fortran_vec (), m, tau, |
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426 &rlwork, -1, info)); |
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427 |
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428 // allocate buffer and do the job. |
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429 octave_idx_type lwork = rlwork; |
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430 lwork = std::max (lwork, static_cast<octave_idx_type> (1)); |
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431 OCTAVE_LOCAL_BUFFER (double, work, lwork); |
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432 F77_XFCN (dorgqr, DORGQR, (m, k, min_mn, q.fortran_vec (), m, tau, |
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433 work, lwork, info)); |
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434 } |
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435 } |
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436 } |
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437 |
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438 template <> |
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439 void |
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440 qr<Matrix>::init (const Matrix& a, type qr_type) |
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441 { |
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442 octave_idx_type m = a.rows (); |
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443 octave_idx_type n = a.cols (); |
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444 |
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445 octave_idx_type min_mn = m < n ? m : n; |
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446 OCTAVE_LOCAL_BUFFER (double, tau, min_mn); |
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447 |
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448 octave_idx_type info = 0; |
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449 |
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450 Matrix afact = a; |
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451 if (m > n && qr_type == qr<Matrix>::std) |
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452 afact.resize (m, m); |
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453 |
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454 if (m > 0) |
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455 { |
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456 // workspace query. |
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457 double rlwork; |
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458 F77_XFCN (dgeqrf, DGEQRF, (m, n, afact.fortran_vec (), m, tau, |
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459 &rlwork, -1, info)); |
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460 |
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461 // allocate buffer and do the job. |
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462 octave_idx_type lwork = rlwork; |
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463 lwork = std::max (lwork, static_cast<octave_idx_type> (1)); |
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464 OCTAVE_LOCAL_BUFFER (double, work, lwork); |
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465 F77_XFCN (dgeqrf, DGEQRF, (m, n, afact.fortran_vec (), m, tau, |
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466 work, lwork, info)); |
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467 } |
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468 |
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469 form (n, afact, tau, qr_type); |
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470 } |
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471 |
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472 #if defined (HAVE_QRUPDATE) |
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473 |
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474 template <> |
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475 void |
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476 qr<Matrix>::update (const ColumnVector& u, const ColumnVector& v) |
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477 { |
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478 octave_idx_type m = q.rows (); |
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479 octave_idx_type n = r.columns (); |
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480 octave_idx_type k = q.columns (); |
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481 |
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482 if (u.numel () != m || v.numel () != n) |
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483 (*current_liboctave_error_handler) ("qrupdate: dimensions mismatch"); |
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484 |
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485 ColumnVector utmp = u; |
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486 ColumnVector vtmp = v; |
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487 OCTAVE_LOCAL_BUFFER (double, w, 2*k); |
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488 F77_XFCN (dqr1up, DQR1UP, (m, n, k, q.fortran_vec (), |
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489 m, r.fortran_vec (), k, |
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490 utmp.fortran_vec (), vtmp.fortran_vec (), w)); |
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491 } |
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492 |
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493 template <> |
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494 void |
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495 qr<Matrix>::update (const Matrix& u, const Matrix& v) |
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496 { |
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497 octave_idx_type m = q.rows (); |
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498 octave_idx_type n = r.columns (); |
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499 octave_idx_type k = q.columns (); |
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500 |
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501 if (u.rows () != m || v.rows () != n || u.cols () != v.cols ()) |
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502 (*current_liboctave_error_handler) ("qrupdate: dimensions mismatch"); |
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503 |
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504 OCTAVE_LOCAL_BUFFER (double, w, 2*k); |
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505 for (volatile octave_idx_type i = 0; i < u.cols (); i++) |
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506 { |
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507 ColumnVector utmp = u.column (i); |
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508 ColumnVector vtmp = v.column (i); |
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509 F77_XFCN (dqr1up, DQR1UP, (m, n, k, q.fortran_vec (), |
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510 m, r.fortran_vec (), k, |
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511 utmp.fortran_vec (), vtmp.fortran_vec (), |
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512 w)); |
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513 } |
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514 } |
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515 |
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516 template <> |
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517 void |
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518 qr<Matrix>::insert_col (const ColumnVector& u, octave_idx_type j) |
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519 { |
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520 octave_idx_type m = q.rows (); |
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521 octave_idx_type n = r.columns (); |
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522 octave_idx_type k = q.columns (); |
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523 |
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524 if (u.numel () != m) |
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525 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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526 if (j < 0 || j > n) |
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527 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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528 |
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529 if (k < m) |
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530 { |
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531 q.resize (m, k+1); |
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532 r.resize (k+1, n+1); |
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533 } |
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534 else |
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535 { |
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536 r.resize (k, n+1); |
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537 } |
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538 |
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539 ColumnVector utmp = u; |
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540 OCTAVE_LOCAL_BUFFER (double, w, k); |
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541 F77_XFCN (dqrinc, DQRINC, (m, n, k, q.fortran_vec (), q.rows (), |
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542 r.fortran_vec (), r.rows (), j + 1, |
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543 utmp.data (), w)); |
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544 } |
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545 |
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546 template <> |
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547 void |
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548 qr<Matrix>::insert_col (const Matrix& u, const Array<octave_idx_type>& j) |
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549 { |
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550 octave_idx_type m = q.rows (); |
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551 octave_idx_type n = r.columns (); |
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552 octave_idx_type k = q.columns (); |
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553 |
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554 Array<octave_idx_type> jsi; |
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555 Array<octave_idx_type> js = j.sort (jsi, 0, ASCENDING); |
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556 octave_idx_type nj = js.numel (); |
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557 bool dups = false; |
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558 for (octave_idx_type i = 0; i < nj - 1; i++) |
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559 dups = dups && js(i) == js(i+1); |
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560 |
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561 if (dups) |
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562 (*current_liboctave_error_handler) ("qrinsert: duplicate index detected"); |
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563 if (u.numel () != m || u.columns () != nj) |
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564 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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565 if (nj > 0 && (js(0) < 0 || js(nj-1) > n)) |
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566 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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567 |
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568 if (nj > 0) |
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569 { |
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570 octave_idx_type kmax = std::min (k + nj, m); |
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571 if (k < m) |
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572 { |
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573 q.resize (m, kmax); |
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574 r.resize (kmax, n + nj); |
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575 } |
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576 else |
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577 { |
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578 r.resize (k, n + nj); |
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579 } |
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580 |
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581 OCTAVE_LOCAL_BUFFER (double, w, kmax); |
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582 for (volatile octave_idx_type i = 0; i < js.numel (); i++) |
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583 { |
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584 octave_idx_type ii = i; |
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585 ColumnVector utmp = u.column (jsi(i)); |
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586 F77_XFCN (dqrinc, DQRINC, (m, n + ii, std::min (kmax, k + ii), |
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587 q.fortran_vec (), q.rows (), |
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588 r.fortran_vec (), r.rows (), js(ii) + 1, |
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589 utmp.data (), w)); |
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590 } |
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591 } |
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592 } |
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593 |
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594 template <> |
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595 void |
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596 qr<Matrix>::delete_col (octave_idx_type j) |
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597 { |
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598 octave_idx_type m = q.rows (); |
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599 octave_idx_type k = r.rows (); |
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600 octave_idx_type n = r.columns (); |
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601 |
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602 if (j < 0 || j > n-1) |
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603 (*current_liboctave_error_handler) ("qrdelete: index out of range"); |
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604 |
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605 OCTAVE_LOCAL_BUFFER (double, w, k); |
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606 F77_XFCN (dqrdec, DQRDEC, (m, n, k, q.fortran_vec (), q.rows (), |
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607 r.fortran_vec (), r.rows (), j + 1, w)); |
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608 |
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609 if (k < m) |
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610 { |
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611 q.resize (m, k-1); |
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612 r.resize (k-1, n-1); |
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613 } |
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614 else |
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615 { |
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616 r.resize (k, n-1); |
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617 } |
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618 } |
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619 |
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620 template <> |
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621 void |
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622 qr<Matrix>::delete_col (const Array<octave_idx_type>& j) |
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623 { |
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624 octave_idx_type m = q.rows (); |
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625 octave_idx_type n = r.columns (); |
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626 octave_idx_type k = q.columns (); |
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627 |
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628 Array<octave_idx_type> jsi; |
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629 Array<octave_idx_type> js = j.sort (jsi, 0, DESCENDING); |
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630 octave_idx_type nj = js.numel (); |
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631 bool dups = false; |
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632 for (octave_idx_type i = 0; i < nj - 1; i++) |
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633 dups = dups && js(i) == js(i+1); |
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634 |
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635 if (dups) |
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636 (*current_liboctave_error_handler) ("qrinsert: duplicate index detected"); |
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637 if (nj > 0 && (js(0) > n-1 || js(nj-1) < 0)) |
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638 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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639 |
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640 if (nj > 0) |
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641 { |
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642 OCTAVE_LOCAL_BUFFER (double, w, k); |
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643 for (volatile octave_idx_type i = 0; i < js.numel (); i++) |
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644 { |
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645 octave_idx_type ii = i; |
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646 F77_XFCN (dqrdec, DQRDEC, (m, n - ii, k == m ? k : k - ii, |
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647 q.fortran_vec (), q.rows (), |
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648 r.fortran_vec (), r.rows (), |
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649 js(ii) + 1, w)); |
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650 } |
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651 if (k < m) |
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652 { |
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653 q.resize (m, k - nj); |
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654 r.resize (k - nj, n - nj); |
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655 } |
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656 else |
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657 { |
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658 r.resize (k, n - nj); |
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659 } |
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660 |
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661 } |
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662 } |
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663 |
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664 template <> |
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665 void |
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666 qr<Matrix>::insert_row (const RowVector& u, octave_idx_type j) |
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667 { |
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668 octave_idx_type m = r.rows (); |
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669 octave_idx_type n = r.columns (); |
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670 octave_idx_type k = std::min (m, n); |
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671 |
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672 if (! q.is_square () || u.numel () != n) |
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673 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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674 if (j < 0 || j > m) |
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675 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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676 |
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677 q.resize (m + 1, m + 1); |
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678 r.resize (m + 1, n); |
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679 RowVector utmp = u; |
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680 OCTAVE_LOCAL_BUFFER (double, w, k); |
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681 F77_XFCN (dqrinr, DQRINR, (m, n, q.fortran_vec (), q.rows (), |
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682 r.fortran_vec (), r.rows (), |
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683 j + 1, utmp.fortran_vec (), w)); |
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684 |
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685 } |
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686 |
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687 template <> |
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688 void |
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689 qr<Matrix>::delete_row (octave_idx_type j) |
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690 { |
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691 octave_idx_type m = r.rows (); |
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692 octave_idx_type n = r.columns (); |
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693 |
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694 if (! q.is_square ()) |
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695 (*current_liboctave_error_handler) ("qrdelete: dimensions mismatch"); |
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696 if (j < 0 || j > m-1) |
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697 (*current_liboctave_error_handler) ("qrdelete: index out of range"); |
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698 |
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699 OCTAVE_LOCAL_BUFFER (double, w, 2*m); |
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700 F77_XFCN (dqrder, DQRDER, (m, n, q.fortran_vec (), q.rows (), |
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701 r.fortran_vec (), r.rows (), j + 1, |
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702 w)); |
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703 |
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704 q.resize (m - 1, m - 1); |
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705 r.resize (m - 1, n); |
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706 } |
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707 |
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708 template <> |
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709 void |
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710 qr<Matrix>::shift_cols (octave_idx_type i, octave_idx_type j) |
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711 { |
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712 octave_idx_type m = q.rows (); |
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713 octave_idx_type k = r.rows (); |
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714 octave_idx_type n = r.columns (); |
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715 |
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716 if (i < 0 || i > n-1 || j < 0 || j > n-1) |
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717 (*current_liboctave_error_handler) ("qrshift: index out of range"); |
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718 |
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719 OCTAVE_LOCAL_BUFFER (double, w, 2*k); |
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720 F77_XFCN (dqrshc, DQRSHC, (m, n, k, |
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721 q.fortran_vec (), q.rows (), |
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722 r.fortran_vec (), r.rows (), |
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723 i + 1, j + 1, w)); |
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724 } |
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725 |
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726 #endif |
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727 |
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728 template <> |
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729 void |
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730 qr<FloatMatrix>::form (octave_idx_type n, FloatMatrix& afact, float *tau, type qr_type) |
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731 { |
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732 octave_idx_type m = afact.rows (); |
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733 octave_idx_type min_mn = std::min (m, n); |
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734 octave_idx_type info; |
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735 |
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736 if (qr_type == qr<FloatMatrix>::raw) |
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737 { |
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738 for (octave_idx_type j = 0; j < min_mn; j++) |
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739 { |
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740 octave_idx_type limit = j < min_mn - 1 ? j : min_mn - 1; |
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741 for (octave_idx_type i = limit + 1; i < m; i++) |
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742 afact.elem (i, j) *= tau[j]; |
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|
743 } |
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744 |
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|
745 r = afact; |
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|
746 } |
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|
747 else |
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|
748 { |
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|
749 // Attempt to minimize copying. |
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|
750 if (m >= n) |
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751 { |
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|
752 // afact will become q. |
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753 q = afact; |
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754 octave_idx_type k = qr_type == qr<FloatMatrix>::economy ? n : m; |
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755 r = FloatMatrix (k, n); |
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|
756 for (octave_idx_type j = 0; j < n; j++) |
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757 { |
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|
758 octave_idx_type i = 0; |
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759 for (; i <= j; i++) |
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760 r.xelem (i, j) = afact.xelem (i, j); |
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761 for (; i < k; i++) |
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762 r.xelem (i, j) = 0; |
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|
763 } |
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764 afact = FloatMatrix (); // optimize memory |
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|
765 } |
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|
766 else |
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|
767 { |
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|
768 // afact will become r. |
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|
769 q = FloatMatrix (m, m); |
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770 for (octave_idx_type j = 0; j < m; j++) |
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771 for (octave_idx_type i = j + 1; i < m; i++) |
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772 { |
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773 q.xelem (i, j) = afact.xelem (i, j); |
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774 afact.xelem (i, j) = 0; |
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775 } |
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776 r = afact; |
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777 } |
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778 |
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|
779 if (m > 0) |
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|
780 { |
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781 octave_idx_type k = q.columns (); |
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782 // workspace query. |
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|
783 float rlwork; |
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|
784 F77_XFCN (sorgqr, SORGQR, (m, k, min_mn, q.fortran_vec (), m, tau, |
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785 &rlwork, -1, info)); |
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786 |
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787 // allocate buffer and do the job. |
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788 octave_idx_type lwork = rlwork; |
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789 lwork = std::max (lwork, static_cast<octave_idx_type> (1)); |
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790 OCTAVE_LOCAL_BUFFER (float, work, lwork); |
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791 F77_XFCN (sorgqr, SORGQR, (m, k, min_mn, q.fortran_vec (), m, tau, |
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792 work, lwork, info)); |
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793 } |
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|
794 } |
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|
795 } |
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|
796 |
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|
797 template <> |
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|
798 void |
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799 qr<FloatMatrix>::init (const FloatMatrix& a, type qr_type) |
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800 { |
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801 octave_idx_type m = a.rows (); |
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802 octave_idx_type n = a.cols (); |
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803 |
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804 octave_idx_type min_mn = m < n ? m : n; |
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|
805 OCTAVE_LOCAL_BUFFER (float, tau, min_mn); |
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806 |
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807 octave_idx_type info = 0; |
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808 |
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809 FloatMatrix afact = a; |
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|
810 if (m > n && qr_type == qr<FloatMatrix>::std) |
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811 afact.resize (m, m); |
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|
812 |
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|
813 if (m > 0) |
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|
814 { |
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|
815 // workspace query. |
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|
816 float rlwork; |
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|
817 F77_XFCN (sgeqrf, SGEQRF, (m, n, afact.fortran_vec (), m, tau, |
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818 &rlwork, -1, info)); |
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|
819 |
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820 // allocate buffer and do the job. |
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821 octave_idx_type lwork = rlwork; |
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822 lwork = std::max (lwork, static_cast<octave_idx_type> (1)); |
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|
823 OCTAVE_LOCAL_BUFFER (float, work, lwork); |
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824 F77_XFCN (sgeqrf, SGEQRF, (m, n, afact.fortran_vec (), m, tau, |
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|
825 work, lwork, info)); |
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|
826 } |
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|
827 |
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828 form (n, afact, tau, qr_type); |
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829 } |
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|
830 |
21724
aba2e6293dd8
use "#if ..." consistently instead of "#ifdef" and "#ifndef"
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|
831 #if defined (HAVE_QRUPDATE) |
21279
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|
832 |
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|
833 template <> |
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|
834 void |
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835 qr<FloatMatrix>::update (const FloatColumnVector& u, const FloatColumnVector& v) |
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836 { |
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837 octave_idx_type m = q.rows (); |
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838 octave_idx_type n = r.columns (); |
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839 octave_idx_type k = q.columns (); |
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840 |
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841 if (u.numel () != m || v.numel () != n) |
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|
842 (*current_liboctave_error_handler) ("qrupdate: dimensions mismatch"); |
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843 |
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|
844 FloatColumnVector utmp = u; |
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|
845 FloatColumnVector vtmp = v; |
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846 OCTAVE_LOCAL_BUFFER (float, w, 2*k); |
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|
847 F77_XFCN (sqr1up, SQR1UP, (m, n, k, q.fortran_vec (), |
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|
848 m, r.fortran_vec (), k, |
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|
849 utmp.fortran_vec (), vtmp.fortran_vec (), w)); |
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|
850 } |
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|
851 |
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|
852 template <> |
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|
853 void |
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854 qr<FloatMatrix>::update (const FloatMatrix& u, const FloatMatrix& v) |
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855 { |
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856 octave_idx_type m = q.rows (); |
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857 octave_idx_type n = r.columns (); |
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858 octave_idx_type k = q.columns (); |
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|
859 |
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860 if (u.rows () != m || v.rows () != n || u.cols () != v.cols ()) |
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861 (*current_liboctave_error_handler) ("qrupdate: dimensions mismatch"); |
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862 |
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863 OCTAVE_LOCAL_BUFFER (float, w, 2*k); |
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864 for (volatile octave_idx_type i = 0; i < u.cols (); i++) |
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865 { |
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866 FloatColumnVector utmp = u.column (i); |
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867 FloatColumnVector vtmp = v.column (i); |
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868 F77_XFCN (sqr1up, SQR1UP, (m, n, k, q.fortran_vec (), |
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869 m, r.fortran_vec (), k, |
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870 utmp.fortran_vec (), vtmp.fortran_vec (), |
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871 w)); |
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872 } |
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|
873 } |
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874 |
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|
875 template <> |
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876 void |
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|
877 qr<FloatMatrix>::insert_col (const FloatColumnVector& u, octave_idx_type j) |
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878 { |
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879 octave_idx_type m = q.rows (); |
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880 octave_idx_type n = r.columns (); |
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881 octave_idx_type k = q.columns (); |
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882 |
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883 if (u.numel () != m) |
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884 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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885 if (j < 0 || j > n) |
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886 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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887 |
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|
888 if (k < m) |
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|
889 { |
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890 q.resize (m, k+1); |
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891 r.resize (k+1, n+1); |
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892 } |
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|
893 else |
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|
894 { |
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|
895 r.resize (k, n+1); |
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|
896 } |
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|
897 |
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|
898 FloatColumnVector utmp = u; |
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|
899 OCTAVE_LOCAL_BUFFER (float, w, k); |
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900 F77_XFCN (sqrinc, SQRINC, (m, n, k, q.fortran_vec (), q.rows (), |
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901 r.fortran_vec (), r.rows (), j + 1, |
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902 utmp.data (), w)); |
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|
903 } |
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|
904 |
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|
905 template <> |
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diff
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|
906 void |
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|
907 qr<FloatMatrix>::insert_col (const FloatMatrix& u, const Array<octave_idx_type>& j) |
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|
908 { |
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|
909 octave_idx_type m = q.rows (); |
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910 octave_idx_type n = r.columns (); |
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|
911 octave_idx_type k = q.columns (); |
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|
912 |
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|
913 Array<octave_idx_type> jsi; |
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|
914 Array<octave_idx_type> js = j.sort (jsi, 0, ASCENDING); |
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|
915 octave_idx_type nj = js.numel (); |
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|
916 bool dups = false; |
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|
917 for (octave_idx_type i = 0; i < nj - 1; i++) |
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918 dups = dups && js(i) == js(i+1); |
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diff
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|
919 |
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diff
changeset
|
920 if (dups) |
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diff
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|
921 (*current_liboctave_error_handler) ("qrinsert: duplicate index detected"); |
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21202
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|
922 if (u.numel () != m || u.columns () != nj) |
eb1524b07fe3
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John W. Eaton <jwe@octave.org>
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|
923 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
eb1524b07fe3
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|
924 if (nj > 0 && (js(0) < 0 || js(nj-1) > n)) |
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diff
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|
925 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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John W. Eaton <jwe@octave.org>
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diff
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|
926 |
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
927 if (nj > 0) |
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John W. Eaton <jwe@octave.org>
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diff
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|
928 { |
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better use of templates for qr classes
John W. Eaton <jwe@octave.org>
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diff
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|
929 octave_idx_type kmax = std::min (k + nj, m); |
eb1524b07fe3
better use of templates for qr classes
John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
930 if (k < m) |
eb1524b07fe3
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John W. Eaton <jwe@octave.org>
parents:
21202
diff
changeset
|
931 { |
eb1524b07fe3
better use of templates for qr classes
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parents:
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diff
changeset
|
932 q.resize (m, kmax); |
eb1524b07fe3
better use of templates for qr classes
John W. Eaton <jwe@octave.org>
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diff
changeset
|
933 r.resize (kmax, n + nj); |
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better use of templates for qr classes
John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
934 } |
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better use of templates for qr classes
John W. Eaton <jwe@octave.org>
parents:
21202
diff
changeset
|
935 else |
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better use of templates for qr classes
John W. Eaton <jwe@octave.org>
parents:
21202
diff
changeset
|
936 { |
eb1524b07fe3
better use of templates for qr classes
John W. Eaton <jwe@octave.org>
parents:
21202
diff
changeset
|
937 r.resize (k, n + nj); |
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John W. Eaton <jwe@octave.org>
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21202
diff
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|
938 } |
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better use of templates for qr classes
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parents:
21202
diff
changeset
|
939 |
eb1524b07fe3
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John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
940 OCTAVE_LOCAL_BUFFER (float, w, kmax); |
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better use of templates for qr classes
John W. Eaton <jwe@octave.org>
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21202
diff
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|
941 for (volatile octave_idx_type i = 0; i < js.numel (); i++) |
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21202
diff
changeset
|
942 { |
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diff
changeset
|
943 octave_idx_type ii = i; |
eb1524b07fe3
better use of templates for qr classes
John W. Eaton <jwe@octave.org>
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diff
changeset
|
944 FloatColumnVector utmp = u.column (jsi(i)); |
eb1524b07fe3
better use of templates for qr classes
John W. Eaton <jwe@octave.org>
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21202
diff
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|
945 F77_XFCN (sqrinc, SQRINC, (m, n + ii, std::min (kmax, k + ii), |
eb1524b07fe3
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diff
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|
946 q.fortran_vec (), q.rows (), |
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John W. Eaton <jwe@octave.org>
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diff
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|
947 r.fortran_vec (), r.rows (), js(ii) + 1, |
eb1524b07fe3
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John W. Eaton <jwe@octave.org>
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diff
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|
948 utmp.data (), w)); |
eb1524b07fe3
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21202
diff
changeset
|
949 } |
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better use of templates for qr classes
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diff
changeset
|
950 } |
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diff
changeset
|
951 } |
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John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
952 |
eb1524b07fe3
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diff
changeset
|
953 template <> |
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21202
diff
changeset
|
954 void |
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
955 qr<FloatMatrix>::delete_col (octave_idx_type j) |
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21202
diff
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|
956 { |
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diff
changeset
|
957 octave_idx_type m = q.rows (); |
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|
958 octave_idx_type k = r.rows (); |
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diff
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|
959 octave_idx_type n = r.columns (); |
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21202
diff
changeset
|
960 |
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diff
changeset
|
961 if (j < 0 || j > n-1) |
eb1524b07fe3
better use of templates for qr classes
John W. Eaton <jwe@octave.org>
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changeset
|
962 (*current_liboctave_error_handler) ("qrdelete: index out of range"); |
eb1524b07fe3
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
963 |
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diff
changeset
|
964 OCTAVE_LOCAL_BUFFER (float, w, k); |
eb1524b07fe3
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diff
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|
965 F77_XFCN (sqrdec, SQRDEC, (m, n, k, q.fortran_vec (), q.rows (), |
eb1524b07fe3
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changeset
|
966 r.fortran_vec (), r.rows (), j + 1, w)); |
eb1524b07fe3
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21202
diff
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|
967 |
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
968 if (k < m) |
eb1524b07fe3
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
969 { |
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changeset
|
970 q.resize (m, k-1); |
eb1524b07fe3
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diff
changeset
|
971 r.resize (k-1, n-1); |
eb1524b07fe3
better use of templates for qr classes
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21202
diff
changeset
|
972 } |
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better use of templates for qr classes
John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
973 else |
eb1524b07fe3
better use of templates for qr classes
John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
974 { |
eb1524b07fe3
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diff
changeset
|
975 r.resize (k, n-1); |
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21202
diff
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|
976 } |
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21202
diff
changeset
|
977 } |
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21202
diff
changeset
|
978 |
eb1524b07fe3
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John W. Eaton <jwe@octave.org>
parents:
21202
diff
changeset
|
979 template <> |
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John W. Eaton <jwe@octave.org>
parents:
21202
diff
changeset
|
980 void |
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
981 qr<FloatMatrix>::delete_col (const Array<octave_idx_type>& j) |
eb1524b07fe3
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John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
982 { |
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
983 octave_idx_type m = q.rows (); |
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984 octave_idx_type n = r.columns (); |
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985 octave_idx_type k = q.columns (); |
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986 |
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987 Array<octave_idx_type> jsi; |
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988 Array<octave_idx_type> js = j.sort (jsi, 0, DESCENDING); |
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989 octave_idx_type nj = js.numel (); |
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990 bool dups = false; |
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991 for (octave_idx_type i = 0; i < nj - 1; i++) |
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992 dups = dups && js(i) == js(i+1); |
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993 |
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994 if (dups) |
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995 (*current_liboctave_error_handler) ("qrinsert: duplicate index detected"); |
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996 if (nj > 0 && (js(0) > n-1 || js(nj-1) < 0)) |
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997 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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998 |
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999 if (nj > 0) |
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1000 { |
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1001 OCTAVE_LOCAL_BUFFER (float, w, k); |
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1002 for (volatile octave_idx_type i = 0; i < js.numel (); i++) |
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1003 { |
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1004 octave_idx_type ii = i; |
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1005 F77_XFCN (sqrdec, SQRDEC, (m, n - ii, k == m ? k : k - ii, |
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1006 q.fortran_vec (), q.rows (), |
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1007 r.fortran_vec (), r.rows (), |
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1008 js(ii) + 1, w)); |
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1009 } |
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1010 if (k < m) |
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1011 { |
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1012 q.resize (m, k - nj); |
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1013 r.resize (k - nj, n - nj); |
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1014 } |
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1015 else |
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1016 { |
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1017 r.resize (k, n - nj); |
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1018 } |
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1019 |
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1020 } |
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1021 } |
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1022 |
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1023 template <> |
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1024 void |
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1025 qr<FloatMatrix>::insert_row (const FloatRowVector& u, octave_idx_type j) |
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1026 { |
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1027 octave_idx_type m = r.rows (); |
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1028 octave_idx_type n = r.columns (); |
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1029 octave_idx_type k = std::min (m, n); |
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1030 |
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1031 if (! q.is_square () || u.numel () != n) |
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1032 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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1033 if (j < 0 || j > m) |
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1034 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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1035 |
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1036 q.resize (m + 1, m + 1); |
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1037 r.resize (m + 1, n); |
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1038 FloatRowVector utmp = u; |
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1039 OCTAVE_LOCAL_BUFFER (float, w, k); |
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1040 F77_XFCN (sqrinr, SQRINR, (m, n, q.fortran_vec (), q.rows (), |
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1041 r.fortran_vec (), r.rows (), |
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1042 j + 1, utmp.fortran_vec (), w)); |
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1043 |
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1044 } |
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1045 |
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1046 template <> |
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1047 void |
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1048 qr<FloatMatrix>::delete_row (octave_idx_type j) |
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1049 { |
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1050 octave_idx_type m = r.rows (); |
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1051 octave_idx_type n = r.columns (); |
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1052 |
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1053 if (! q.is_square ()) |
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1054 (*current_liboctave_error_handler) ("qrdelete: dimensions mismatch"); |
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1055 if (j < 0 || j > m-1) |
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1056 (*current_liboctave_error_handler) ("qrdelete: index out of range"); |
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1057 |
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1058 OCTAVE_LOCAL_BUFFER (float, w, 2*m); |
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1059 F77_XFCN (sqrder, SQRDER, (m, n, q.fortran_vec (), q.rows (), |
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1060 r.fortran_vec (), r.rows (), j + 1, |
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1061 w)); |
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1062 |
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1063 q.resize (m - 1, m - 1); |
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1064 r.resize (m - 1, n); |
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1065 } |
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1066 |
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1067 template <> |
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1068 void |
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1069 qr<FloatMatrix>::shift_cols (octave_idx_type i, octave_idx_type j) |
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1070 { |
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1071 octave_idx_type m = q.rows (); |
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1072 octave_idx_type k = r.rows (); |
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1073 octave_idx_type n = r.columns (); |
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1074 |
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1075 if (i < 0 || i > n-1 || j < 0 || j > n-1) |
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1076 (*current_liboctave_error_handler) ("qrshift: index out of range"); |
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1077 |
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1078 OCTAVE_LOCAL_BUFFER (float, w, 2*k); |
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1079 F77_XFCN (sqrshc, SQRSHC, (m, n, k, |
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1080 q.fortran_vec (), q.rows (), |
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1081 r.fortran_vec (), r.rows (), |
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1082 i + 1, j + 1, w)); |
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1083 } |
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1084 |
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1085 #endif |
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1086 |
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1087 template <> |
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1088 void |
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1089 qr<ComplexMatrix>::form (octave_idx_type n, ComplexMatrix& afact, |
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1090 Complex *tau, type qr_type) |
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1091 { |
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1092 octave_idx_type m = afact.rows (); |
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1093 octave_idx_type min_mn = std::min (m, n); |
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1094 octave_idx_type info; |
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1095 |
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1096 if (qr_type == qr<ComplexMatrix>::raw) |
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1097 { |
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1098 for (octave_idx_type j = 0; j < min_mn; j++) |
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1099 { |
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1100 octave_idx_type limit = j < min_mn - 1 ? j : min_mn - 1; |
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1101 for (octave_idx_type i = limit + 1; i < m; i++) |
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1102 afact.elem (i, j) *= tau[j]; |
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1103 } |
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1104 |
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1105 r = afact; |
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1106 } |
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1107 else |
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1108 { |
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1109 // Attempt to minimize copying. |
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1110 if (m >= n) |
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1111 { |
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1112 // afact will become q. |
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1113 q = afact; |
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1114 octave_idx_type k = qr_type == qr<ComplexMatrix>::economy ? n : m; |
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1115 r = ComplexMatrix (k, n); |
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1116 for (octave_idx_type j = 0; j < n; j++) |
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1117 { |
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1118 octave_idx_type i = 0; |
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1119 for (; i <= j; i++) |
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1120 r.xelem (i, j) = afact.xelem (i, j); |
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1121 for (; i < k; i++) |
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1122 r.xelem (i, j) = 0; |
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1123 } |
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1124 afact = ComplexMatrix (); // optimize memory |
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1125 } |
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1126 else |
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1127 { |
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1128 // afact will become r. |
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1129 q = ComplexMatrix (m, m); |
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1130 for (octave_idx_type j = 0; j < m; j++) |
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1131 for (octave_idx_type i = j + 1; i < m; i++) |
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1132 { |
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1133 q.xelem (i, j) = afact.xelem (i, j); |
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1134 afact.xelem (i, j) = 0; |
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1135 } |
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1136 r = afact; |
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1137 } |
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1138 |
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1139 if (m > 0) |
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1140 { |
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1141 octave_idx_type k = q.columns (); |
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1142 // workspace query. |
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1143 Complex clwork; |
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1144 F77_XFCN (zungqr, ZUNGQR, (m, k, min_mn, F77_DBLE_CMPLX_ARG (q.fortran_vec ()), m, F77_DBLE_CMPLX_ARG (tau), |
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1145 F77_DBLE_CMPLX_ARG (&clwork), -1, info)); |
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1146 |
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1147 // allocate buffer and do the job. |
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1148 octave_idx_type lwork = clwork.real (); |
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1149 lwork = std::max (lwork, static_cast<octave_idx_type> (1)); |
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1150 OCTAVE_LOCAL_BUFFER (Complex, work, lwork); |
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1151 F77_XFCN (zungqr, ZUNGQR, (m, k, min_mn, F77_DBLE_CMPLX_ARG (q.fortran_vec ()), m, F77_DBLE_CMPLX_ARG (tau), |
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1152 F77_DBLE_CMPLX_ARG (work), lwork, info)); |
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1153 } |
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1154 } |
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1155 } |
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1156 |
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1157 template <> |
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1158 void |
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1159 qr<ComplexMatrix>::init (const ComplexMatrix& a, type qr_type) |
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1160 { |
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1161 octave_idx_type m = a.rows (); |
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1162 octave_idx_type n = a.cols (); |
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1163 |
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1164 octave_idx_type min_mn = m < n ? m : n; |
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1165 OCTAVE_LOCAL_BUFFER (Complex, tau, min_mn); |
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1166 |
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1167 octave_idx_type info = 0; |
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1168 |
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1169 ComplexMatrix afact = a; |
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1170 if (m > n && qr_type == qr<ComplexMatrix>::std) |
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1171 afact.resize (m, m); |
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1172 |
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1173 if (m > 0) |
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1174 { |
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1175 // workspace query. |
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1176 Complex clwork; |
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1177 F77_XFCN (zgeqrf, ZGEQRF, (m, n, F77_DBLE_CMPLX_ARG (afact.fortran_vec ()), m, F77_DBLE_CMPLX_ARG (tau), |
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1178 F77_DBLE_CMPLX_ARG (&clwork), -1, info)); |
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1179 |
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1180 // allocate buffer and do the job. |
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1181 octave_idx_type lwork = clwork.real (); |
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1182 lwork = std::max (lwork, static_cast<octave_idx_type> (1)); |
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1183 OCTAVE_LOCAL_BUFFER (Complex, work, lwork); |
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1184 F77_XFCN (zgeqrf, ZGEQRF, (m, n, F77_DBLE_CMPLX_ARG (afact.fortran_vec ()), m, F77_DBLE_CMPLX_ARG (tau), |
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1185 F77_DBLE_CMPLX_ARG (work), lwork, info)); |
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1186 } |
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1187 |
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1188 form (n, afact, tau, qr_type); |
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1189 } |
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1190 |
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1191 #if defined (HAVE_QRUPDATE) |
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1192 |
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1193 template <> |
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1194 void |
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1195 qr<ComplexMatrix>::update (const ComplexColumnVector& u, const ComplexColumnVector& v) |
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1196 { |
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1197 octave_idx_type m = q.rows (); |
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1198 octave_idx_type n = r.columns (); |
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1199 octave_idx_type k = q.columns (); |
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1200 |
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1201 if (u.numel () != m || v.numel () != n) |
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1202 (*current_liboctave_error_handler) ("qrupdate: dimensions mismatch"); |
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1203 |
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1204 ComplexColumnVector utmp = u; |
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1205 ComplexColumnVector vtmp = v; |
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1206 OCTAVE_LOCAL_BUFFER (Complex, w, k); |
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1207 OCTAVE_LOCAL_BUFFER (double, rw, k); |
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1208 F77_XFCN (zqr1up, ZQR1UP, (m, n, k, F77_DBLE_CMPLX_ARG (q.fortran_vec ()), |
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1209 m, F77_DBLE_CMPLX_ARG (r.fortran_vec ()), k, |
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1210 F77_DBLE_CMPLX_ARG (utmp.fortran_vec ()), F77_DBLE_CMPLX_ARG (vtmp.fortran_vec ()), |
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1211 F77_DBLE_CMPLX_ARG (w), rw)); |
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1212 } |
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1213 |
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1214 template <> |
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1215 void |
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1216 qr<ComplexMatrix>::update (const ComplexMatrix& u, const ComplexMatrix& v) |
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1217 { |
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1218 octave_idx_type m = q.rows (); |
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1219 octave_idx_type n = r.columns (); |
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1220 octave_idx_type k = q.columns (); |
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1221 |
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1222 if (u.rows () != m || v.rows () != n || u.cols () != v.cols ()) |
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|
1223 (*current_liboctave_error_handler) ("qrupdate: dimensions mismatch"); |
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1224 |
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1225 OCTAVE_LOCAL_BUFFER (Complex, w, k); |
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1226 OCTAVE_LOCAL_BUFFER (double, rw, k); |
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1227 for (volatile octave_idx_type i = 0; i < u.cols (); i++) |
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1228 { |
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1229 ComplexColumnVector utmp = u.column (i); |
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1230 ComplexColumnVector vtmp = v.column (i); |
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1231 F77_XFCN (zqr1up, ZQR1UP, (m, n, k, F77_DBLE_CMPLX_ARG (q.fortran_vec ()), |
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1232 m, F77_DBLE_CMPLX_ARG (r.fortran_vec ()), k, |
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1233 F77_DBLE_CMPLX_ARG (utmp.fortran_vec ()), F77_DBLE_CMPLX_ARG (vtmp.fortran_vec ()), |
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1234 F77_DBLE_CMPLX_ARG (w), rw)); |
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1235 } |
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1236 } |
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|
1237 |
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|
1238 template <> |
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|
1239 void |
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1240 qr<ComplexMatrix>::insert_col (const ComplexColumnVector& u, octave_idx_type j) |
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1241 { |
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1242 octave_idx_type m = q.rows (); |
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1243 octave_idx_type n = r.columns (); |
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1244 octave_idx_type k = q.columns (); |
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|
1245 |
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|
1246 if (u.numel () != m) |
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1247 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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1248 if (j < 0 || j > n) |
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1249 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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1250 |
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1251 if (k < m) |
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1252 { |
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1253 q.resize (m, k+1); |
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1254 r.resize (k+1, n+1); |
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1255 } |
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|
1256 else |
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|
1257 { |
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|
1258 r.resize (k, n+1); |
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1259 } |
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|
1260 |
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|
1261 ComplexColumnVector utmp = u; |
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1262 OCTAVE_LOCAL_BUFFER (double, rw, k); |
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1263 F77_XFCN (zqrinc, ZQRINC, (m, n, k, F77_DBLE_CMPLX_ARG (q.fortran_vec ()), q.rows (), |
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1264 F77_DBLE_CMPLX_ARG (r.fortran_vec ()), r.rows (), j + 1, |
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1265 F77_CONST_DBLE_CMPLX_ARG (utmp.data ()), rw)); |
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1266 } |
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|
1267 |
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|
1268 template <> |
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|
1269 void |
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1270 qr<ComplexMatrix>::insert_col (const ComplexMatrix& u, const Array<octave_idx_type>& j) |
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1271 { |
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1272 octave_idx_type m = q.rows (); |
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1273 octave_idx_type n = r.columns (); |
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1274 octave_idx_type k = q.columns (); |
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1275 |
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1276 Array<octave_idx_type> jsi; |
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1277 Array<octave_idx_type> js = j.sort (jsi, 0, ASCENDING); |
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1278 octave_idx_type nj = js.numel (); |
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1279 bool dups = false; |
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1280 for (octave_idx_type i = 0; i < nj - 1; i++) |
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1281 dups = dups && js(i) == js(i+1); |
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|
1282 |
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|
1283 if (dups) |
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|
1284 (*current_liboctave_error_handler) ("qrinsert: duplicate index detected"); |
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|
1285 if (u.numel () != m || u.columns () != nj) |
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|
1286 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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1287 if (nj > 0 && (js(0) < 0 || js(nj-1) > n)) |
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|
1288 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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|
1289 |
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|
1290 if (nj > 0) |
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|
1291 { |
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|
1292 octave_idx_type kmax = std::min (k + nj, m); |
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|
1293 if (k < m) |
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|
1294 { |
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|
1295 q.resize (m, kmax); |
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|
1296 r.resize (kmax, n + nj); |
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|
1297 } |
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|
1298 else |
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|
1299 { |
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|
1300 r.resize (k, n + nj); |
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|
1301 } |
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|
1302 |
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|
1303 OCTAVE_LOCAL_BUFFER (double, rw, kmax); |
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|
1304 for (volatile octave_idx_type i = 0; i < js.numel (); i++) |
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|
1305 { |
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|
1306 octave_idx_type ii = i; |
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1307 ComplexColumnVector utmp = u.column (jsi(i)); |
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|
1308 F77_XFCN (zqrinc, ZQRINC, (m, n + ii, std::min (kmax, k + ii), |
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|
1309 F77_DBLE_CMPLX_ARG (q.fortran_vec ()), q.rows (), |
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|
1310 F77_DBLE_CMPLX_ARG (r.fortran_vec ()), r.rows (), js(ii) + 1, |
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|
1311 F77_CONST_DBLE_CMPLX_ARG (utmp.data ()), rw)); |
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1312 } |
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|
1313 } |
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|
1314 } |
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|
1315 |
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|
1316 template <> |
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|
1317 void |
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1318 qr<ComplexMatrix>::delete_col (octave_idx_type j) |
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1319 { |
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|
1320 octave_idx_type m = q.rows (); |
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1321 octave_idx_type k = r.rows (); |
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1322 octave_idx_type n = r.columns (); |
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1323 |
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1324 if (j < 0 || j > n-1) |
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1325 (*current_liboctave_error_handler) ("qrdelete: index out of range"); |
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|
1326 |
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|
1327 OCTAVE_LOCAL_BUFFER (double, rw, k); |
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1328 F77_XFCN (zqrdec, ZQRDEC, (m, n, k, F77_DBLE_CMPLX_ARG (q.fortran_vec ()), q.rows (), |
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1329 F77_DBLE_CMPLX_ARG (r.fortran_vec ()), r.rows (), j + 1, rw)); |
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1330 |
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1331 if (k < m) |
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|
1332 { |
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1333 q.resize (m, k-1); |
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|
1334 r.resize (k-1, n-1); |
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|
1335 } |
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1336 else |
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|
1337 { |
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|
1338 r.resize (k, n-1); |
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1339 } |
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1340 } |
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1341 |
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|
1342 template <> |
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1343 void |
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1344 qr<ComplexMatrix>::delete_col (const Array<octave_idx_type>& j) |
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1345 { |
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1346 octave_idx_type m = q.rows (); |
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1347 octave_idx_type n = r.columns (); |
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1348 octave_idx_type k = q.columns (); |
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1349 |
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1350 Array<octave_idx_type> jsi; |
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1351 Array<octave_idx_type> js = j.sort (jsi, 0, DESCENDING); |
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1352 octave_idx_type nj = js.numel (); |
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1353 bool dups = false; |
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1354 for (octave_idx_type i = 0; i < nj - 1; i++) |
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1355 dups = dups && js(i) == js(i+1); |
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1356 |
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1357 if (dups) |
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1358 (*current_liboctave_error_handler) ("qrinsert: duplicate index detected"); |
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1359 if (nj > 0 && (js(0) > n-1 || js(nj-1) < 0)) |
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1360 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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1361 |
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1362 if (nj > 0) |
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1363 { |
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1364 OCTAVE_LOCAL_BUFFER (double, rw, k); |
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1365 for (volatile octave_idx_type i = 0; i < js.numel (); i++) |
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1366 { |
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1367 octave_idx_type ii = i; |
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1368 F77_XFCN (zqrdec, ZQRDEC, (m, n - ii, k == m ? k : k - ii, |
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1369 F77_DBLE_CMPLX_ARG (q.fortran_vec ()), q.rows (), |
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1370 F77_DBLE_CMPLX_ARG (r.fortran_vec ()), r.rows (), |
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1371 js(ii) + 1, rw)); |
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1372 } |
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1373 if (k < m) |
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1374 { |
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1375 q.resize (m, k - nj); |
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1376 r.resize (k - nj, n - nj); |
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1377 } |
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|
1378 else |
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|
1379 { |
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1380 r.resize (k, n - nj); |
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1381 } |
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1382 |
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1383 } |
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1384 } |
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|
1385 |
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|
1386 template <> |
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|
1387 void |
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1388 qr<ComplexMatrix>::insert_row (const ComplexRowVector& u, octave_idx_type j) |
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1389 { |
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1390 octave_idx_type m = r.rows (); |
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1391 octave_idx_type n = r.columns (); |
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1392 octave_idx_type k = std::min (m, n); |
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1393 |
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1394 if (! q.is_square () || u.numel () != n) |
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1395 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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1396 if (j < 0 || j > m) |
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|
1397 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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1398 |
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1399 q.resize (m + 1, m + 1); |
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1400 r.resize (m + 1, n); |
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1401 ComplexRowVector utmp = u; |
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1402 OCTAVE_LOCAL_BUFFER (double, rw, k); |
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1403 F77_XFCN (zqrinr, ZQRINR, (m, n, F77_DBLE_CMPLX_ARG (q.fortran_vec ()), q.rows (), |
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|
1404 F77_DBLE_CMPLX_ARG (r.fortran_vec ()), r.rows (), |
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1405 j + 1, F77_DBLE_CMPLX_ARG (utmp.fortran_vec ()), rw)); |
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1406 |
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1407 } |
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|
1408 |
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|
1409 template <> |
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1410 void |
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1411 qr<ComplexMatrix>::delete_row (octave_idx_type j) |
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1412 { |
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1413 octave_idx_type m = r.rows (); |
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1414 octave_idx_type n = r.columns (); |
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1415 |
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1416 if (! q.is_square ()) |
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1417 (*current_liboctave_error_handler) ("qrdelete: dimensions mismatch"); |
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1418 if (j < 0 || j > m-1) |
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1419 (*current_liboctave_error_handler) ("qrdelete: index out of range"); |
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1420 |
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1421 OCTAVE_LOCAL_BUFFER (Complex, w, m); |
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1422 OCTAVE_LOCAL_BUFFER (double, rw, m); |
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1423 F77_XFCN (zqrder, ZQRDER, (m, n, F77_DBLE_CMPLX_ARG (q.fortran_vec ()), q.rows (), |
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1424 F77_DBLE_CMPLX_ARG (r.fortran_vec ()), r.rows (), j + 1, |
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1425 F77_DBLE_CMPLX_ARG (w), rw)); |
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|
1426 |
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1427 q.resize (m - 1, m - 1); |
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1428 r.resize (m - 1, n); |
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1429 } |
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|
1430 |
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|
1431 template <> |
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1432 void |
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1433 qr<ComplexMatrix>::shift_cols (octave_idx_type i, octave_idx_type j) |
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1434 { |
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1435 octave_idx_type m = q.rows (); |
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1436 octave_idx_type k = r.rows (); |
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1437 octave_idx_type n = r.columns (); |
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|
1438 |
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|
1439 if (i < 0 || i > n-1 || j < 0 || j > n-1) |
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|
1440 (*current_liboctave_error_handler) ("qrshift: index out of range"); |
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1441 |
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|
1442 OCTAVE_LOCAL_BUFFER (Complex, w, k); |
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|
1443 OCTAVE_LOCAL_BUFFER (double, rw, k); |
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1444 F77_XFCN (zqrshc, ZQRSHC, (m, n, k, |
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1445 F77_DBLE_CMPLX_ARG (q.fortran_vec ()), q.rows (), |
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|
1446 F77_DBLE_CMPLX_ARG (r.fortran_vec ()), r.rows (), |
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1447 i + 1, j + 1, F77_DBLE_CMPLX_ARG (w), rw)); |
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1448 } |
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|
1449 |
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|
1450 #endif |
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1451 |
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|
1452 template <> |
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1453 void |
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1454 qr<FloatComplexMatrix>::form (octave_idx_type n, FloatComplexMatrix& afact, FloatComplex *tau, type qr_type) |
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1455 { |
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|
1456 octave_idx_type m = afact.rows (); |
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|
1457 octave_idx_type min_mn = std::min (m, n); |
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|
1458 octave_idx_type info; |
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|
1459 |
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|
1460 if (qr_type == qr<FloatComplexMatrix>::raw) |
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|
1461 { |
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|
1462 for (octave_idx_type j = 0; j < min_mn; j++) |
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|
1463 { |
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|
1464 octave_idx_type limit = j < min_mn - 1 ? j : min_mn - 1; |
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|
1465 for (octave_idx_type i = limit + 1; i < m; i++) |
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|
1466 afact.elem (i, j) *= tau[j]; |
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|
1467 } |
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|
1468 |
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|
1469 r = afact; |
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|
1470 } |
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|
1471 else |
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|
1472 { |
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|
1473 // Attempt to minimize copying. |
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|
1474 if (m >= n) |
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|
1475 { |
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|
1476 // afact will become q. |
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|
1477 q = afact; |
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|
1478 octave_idx_type k = qr_type == qr<FloatComplexMatrix>::economy ? n : m; |
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|
1479 r = FloatComplexMatrix (k, n); |
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|
1480 for (octave_idx_type j = 0; j < n; j++) |
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|
1481 { |
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|
1482 octave_idx_type i = 0; |
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|
1483 for (; i <= j; i++) |
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|
1484 r.xelem (i, j) = afact.xelem (i, j); |
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|
1485 for (; i < k; i++) |
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|
1486 r.xelem (i, j) = 0; |
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|
1487 } |
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|
1488 afact = FloatComplexMatrix (); // optimize memory |
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|
1489 } |
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|
1490 else |
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|
1491 { |
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|
1492 // afact will become r. |
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|
1493 q = FloatComplexMatrix (m, m); |
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|
1494 for (octave_idx_type j = 0; j < m; j++) |
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|
1495 for (octave_idx_type i = j + 1; i < m; i++) |
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|
1496 { |
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|
1497 q.xelem (i, j) = afact.xelem (i, j); |
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|
1498 afact.xelem (i, j) = 0; |
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|
1499 } |
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|
1500 r = afact; |
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|
1501 } |
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|
1502 |
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|
1503 if (m > 0) |
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diff
changeset
|
1504 { |
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diff
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|
1505 octave_idx_type k = q.columns (); |
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diff
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|
1506 // workspace query. |
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diff
changeset
|
1507 FloatComplex clwork; |
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|
1508 F77_XFCN (cungqr, CUNGQR, (m, k, min_mn, F77_CMPLX_ARG (q.fortran_vec ()), m, F77_CMPLX_ARG (tau), |
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|
1509 F77_CMPLX_ARG (&clwork), -1, info)); |
21279
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|
1510 |
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|
1511 // allocate buffer and do the job. |
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|
1512 octave_idx_type lwork = clwork.real (); |
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|
1513 lwork = std::max (lwork, static_cast<octave_idx_type> (1)); |
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|
1514 OCTAVE_LOCAL_BUFFER (FloatComplex, work, lwork); |
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|
1515 F77_XFCN (cungqr, CUNGQR, (m, k, min_mn, F77_CMPLX_ARG (q.fortran_vec ()), m, F77_CMPLX_ARG (tau), |
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|
1516 F77_CMPLX_ARG (work), lwork, info)); |
21279
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diff
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|
1517 } |
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diff
changeset
|
1518 } |
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diff
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|
1519 } |
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diff
changeset
|
1520 |
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diff
changeset
|
1521 template <> |
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diff
changeset
|
1522 void |
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|
1523 qr<FloatComplexMatrix>::init (const FloatComplexMatrix& a, type qr_type) |
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|
1524 { |
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|
1525 octave_idx_type m = a.rows (); |
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better use of templates for qr classes
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|
1526 octave_idx_type n = a.cols (); |
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diff
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|
1527 |
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diff
changeset
|
1528 octave_idx_type min_mn = m < n ? m : n; |
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diff
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|
1529 OCTAVE_LOCAL_BUFFER (FloatComplex, tau, min_mn); |
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diff
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|
1530 |
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
1531 octave_idx_type info = 0; |
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John W. Eaton <jwe@octave.org>
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diff
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|
1532 |
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|
1533 FloatComplexMatrix afact = a; |
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changeset
|
1534 if (m > n && qr_type == qr<FloatComplexMatrix>::std) |
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diff
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|
1535 afact.resize (m, m); |
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21202
diff
changeset
|
1536 |
eb1524b07fe3
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21202
diff
changeset
|
1537 if (m > 0) |
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John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
1538 { |
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21202
diff
changeset
|
1539 // workspace query. |
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diff
changeset
|
1540 FloatComplex clwork; |
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John W. Eaton <jwe@octave.org>
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changeset
|
1541 F77_XFCN (cgeqrf, CGEQRF, (m, n, F77_CMPLX_ARG (afact.fortran_vec ()), m, F77_CMPLX_ARG (tau), |
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|
1542 F77_CMPLX_ARG (&clwork), -1, info)); |
21279
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|
1543 |
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changeset
|
1544 // allocate buffer and do the job. |
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|
1545 octave_idx_type lwork = clwork.real (); |
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|
1546 lwork = std::max (lwork, static_cast<octave_idx_type> (1)); |
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|
1547 OCTAVE_LOCAL_BUFFER (FloatComplex, work, lwork); |
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|
1548 F77_XFCN (cgeqrf, CGEQRF, (m, n, F77_CMPLX_ARG (afact.fortran_vec ()), m, F77_CMPLX_ARG (tau), |
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|
1549 F77_CMPLX_ARG (work), lwork, info)); |
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|
1550 } |
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diff
changeset
|
1551 |
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changeset
|
1552 form (n, afact, tau, qr_type); |
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|
1553 } |
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|
1554 |
21724
aba2e6293dd8
use "#if ..." consistently instead of "#ifdef" and "#ifndef"
John W. Eaton <jwe@octave.org>
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21301
diff
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|
1555 #if defined (HAVE_QRUPDATE) |
21279
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changeset
|
1556 |
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changeset
|
1557 template <> |
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diff
changeset
|
1558 void |
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|
1559 qr<FloatComplexMatrix>::update (const FloatComplexColumnVector& u, const FloatComplexColumnVector& v) |
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|
1560 { |
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|
1561 octave_idx_type m = q.rows (); |
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|
1562 octave_idx_type n = r.columns (); |
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|
1563 octave_idx_type k = q.columns (); |
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|
1564 |
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|
1565 if (u.numel () != m || v.numel () != n) |
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|
1566 (*current_liboctave_error_handler) ("qrupdate: dimensions mismatch"); |
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|
1567 |
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|
1568 FloatComplexColumnVector utmp = u; |
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|
1569 FloatComplexColumnVector vtmp = v; |
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|
1570 OCTAVE_LOCAL_BUFFER (FloatComplex, w, k); |
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|
1571 OCTAVE_LOCAL_BUFFER (float, rw, k); |
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changeset
|
1572 F77_XFCN (cqr1up, CQR1UP, (m, n, k, F77_CMPLX_ARG (q.fortran_vec ()), |
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|
1573 m, F77_CMPLX_ARG (r.fortran_vec ()), k, |
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|
1574 F77_CMPLX_ARG (utmp.fortran_vec ()), F77_CMPLX_ARG (vtmp.fortran_vec ()), |
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|
1575 F77_CMPLX_ARG (w), rw)); |
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|
1576 } |
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changeset
|
1577 |
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|
1578 template <> |
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changeset
|
1579 void |
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|
1580 qr<FloatComplexMatrix>::update (const FloatComplexMatrix& u, const FloatComplexMatrix& v) |
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|
1581 { |
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|
1582 octave_idx_type m = q.rows (); |
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|
1583 octave_idx_type n = r.columns (); |
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better use of templates for qr classes
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|
1584 octave_idx_type k = q.columns (); |
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|
1585 |
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|
1586 if (u.rows () != m || v.rows () != n || u.cols () != v.cols ()) |
eb1524b07fe3
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|
1587 (*current_liboctave_error_handler) ("qrupdate: dimensions mismatch"); |
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|
1588 |
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|
1589 OCTAVE_LOCAL_BUFFER (FloatComplex, w, k); |
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|
1590 OCTAVE_LOCAL_BUFFER (float, rw, k); |
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|
1591 for (volatile octave_idx_type i = 0; i < u.cols (); i++) |
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|
1592 { |
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|
1593 FloatComplexColumnVector utmp = u.column (i); |
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|
1594 FloatComplexColumnVector vtmp = v.column (i); |
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|
1595 F77_XFCN (cqr1up, CQR1UP, (m, n, k, F77_CMPLX_ARG (q.fortran_vec ()), |
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John W. Eaton <jwe@octave.org>
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|
1596 m, F77_CMPLX_ARG (r.fortran_vec ()), k, |
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|
1597 F77_CMPLX_ARG (utmp.fortran_vec ()), F77_CMPLX_ARG (vtmp.fortran_vec ()), |
407c66ae1e20
reduce warnings from GCC's link-time optimization feature (bug #48531)
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|
1598 F77_CMPLX_ARG (w), rw)); |
21279
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|
1599 } |
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|
1600 } |
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|
1601 |
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|
1602 template <> |
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|
1603 void |
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|
1604 qr<FloatComplexMatrix>::insert_col (const FloatComplexColumnVector& u, octave_idx_type j) |
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|
1605 { |
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|
1606 octave_idx_type m = q.rows (); |
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|
1607 octave_idx_type n = r.columns (); |
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John W. Eaton <jwe@octave.org>
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|
1608 octave_idx_type k = q.columns (); |
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|
1609 |
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|
1610 if (u.numel () != m) |
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John W. Eaton <jwe@octave.org>
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|
1611 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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|
1612 if (j < 0 || j > n) |
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|
1613 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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|
1614 |
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|
1615 if (k < m) |
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|
1616 { |
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|
1617 q.resize (m, k+1); |
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diff
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|
1618 r.resize (k+1, n+1); |
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|
1619 } |
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diff
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|
1620 else |
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diff
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|
1621 { |
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|
1622 r.resize (k, n+1); |
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|
1623 } |
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|
1624 |
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|
1625 FloatComplexColumnVector utmp = u; |
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|
1626 OCTAVE_LOCAL_BUFFER (float, rw, k); |
22135
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John W. Eaton <jwe@octave.org>
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|
1627 F77_XFCN (cqrinc, CQRINC, (m, n, k, F77_CMPLX_ARG (q.fortran_vec ()), q.rows (), |
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John W. Eaton <jwe@octave.org>
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|
1628 F77_CMPLX_ARG (r.fortran_vec ()), r.rows (), j + 1, |
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reduce warnings from GCC's link-time optimization feature (bug #48531)
John W. Eaton <jwe@octave.org>
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|
1629 F77_CONST_CMPLX_ARG (utmp.data ()), rw)); |
21279
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|
1630 } |
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diff
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|
1631 |
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John W. Eaton <jwe@octave.org>
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diff
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|
1632 template <> |
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John W. Eaton <jwe@octave.org>
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diff
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|
1633 void |
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John W. Eaton <jwe@octave.org>
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|
1634 qr<FloatComplexMatrix>::insert_col (const FloatComplexMatrix& u, const Array<octave_idx_type>& j) |
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|
1635 { |
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diff
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|
1636 octave_idx_type m = q.rows (); |
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|
1637 octave_idx_type n = r.columns (); |
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|
1638 octave_idx_type k = q.columns (); |
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|
1639 |
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|
1640 Array<octave_idx_type> jsi; |
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John W. Eaton <jwe@octave.org>
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|
1641 Array<octave_idx_type> js = j.sort (jsi, 0, ASCENDING); |
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John W. Eaton <jwe@octave.org>
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|
1642 octave_idx_type nj = js.numel (); |
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|
1643 bool dups = false; |
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John W. Eaton <jwe@octave.org>
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|
1644 for (octave_idx_type i = 0; i < nj - 1; i++) |
eb1524b07fe3
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John W. Eaton <jwe@octave.org>
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|
1645 dups = dups && js(i) == js(i+1); |
eb1524b07fe3
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John W. Eaton <jwe@octave.org>
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21202
diff
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|
1646 |
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diff
changeset
|
1647 if (dups) |
eb1524b07fe3
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diff
changeset
|
1648 (*current_liboctave_error_handler) ("qrinsert: duplicate index detected"); |
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John W. Eaton <jwe@octave.org>
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21202
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|
1649 if (u.numel () != m || u.columns () != nj) |
eb1524b07fe3
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John W. Eaton <jwe@octave.org>
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21202
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|
1650 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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John W. Eaton <jwe@octave.org>
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21202
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|
1651 if (nj > 0 && (js(0) < 0 || js(nj-1) > n)) |
eb1524b07fe3
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John W. Eaton <jwe@octave.org>
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|
1652 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
eb1524b07fe3
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John W. Eaton <jwe@octave.org>
parents:
21202
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|
1653 |
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John W. Eaton <jwe@octave.org>
parents:
21202
diff
changeset
|
1654 if (nj > 0) |
eb1524b07fe3
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John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
1655 { |
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John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
1656 octave_idx_type kmax = std::min (k + nj, m); |
eb1524b07fe3
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John W. Eaton <jwe@octave.org>
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21202
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changeset
|
1657 if (k < m) |
eb1524b07fe3
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John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
1658 { |
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John W. Eaton <jwe@octave.org>
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|
1659 q.resize (m, kmax); |
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John W. Eaton <jwe@octave.org>
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|
1660 r.resize (kmax, n + nj); |
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21202
diff
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|
1661 } |
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John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
1662 else |
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John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
1663 { |
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21202
diff
changeset
|
1664 r.resize (k, n + nj); |
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21202
diff
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|
1665 } |
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diff
changeset
|
1666 |
eb1524b07fe3
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|
1667 OCTAVE_LOCAL_BUFFER (float, rw, kmax); |
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|
1668 for (volatile octave_idx_type i = 0; i < js.numel (); i++) |
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|
1669 { |
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changeset
|
1670 octave_idx_type ii = i; |
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|
1671 F77_XFCN (cqrinc, CQRINC, (m, n + ii, std::min (kmax, k + ii), |
22135
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|
1672 F77_CMPLX_ARG (q.fortran_vec ()), q.rows (), |
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|
1673 F77_CMPLX_ARG (r.fortran_vec ()), r.rows (), js(ii) + 1, |
407c66ae1e20
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John W. Eaton <jwe@octave.org>
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|
1674 F77_CONST_CMPLX_ARG (u.column (jsi(i)).data ()), rw)); |
21279
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|
1675 } |
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diff
changeset
|
1676 } |
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diff
changeset
|
1677 } |
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diff
changeset
|
1678 |
eb1524b07fe3
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John W. Eaton <jwe@octave.org>
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changeset
|
1679 template <> |
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
1680 void |
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changeset
|
1681 qr<FloatComplexMatrix>::delete_col (octave_idx_type j) |
eb1524b07fe3
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|
1682 { |
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|
1683 octave_idx_type m = q.rows (); |
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|
1684 octave_idx_type k = r.rows (); |
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|
1685 octave_idx_type n = r.columns (); |
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|
1686 |
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changeset
|
1687 if (j < 0 || j > n-1) |
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John W. Eaton <jwe@octave.org>
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|
1688 (*current_liboctave_error_handler) ("qrdelete: index out of range"); |
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John W. Eaton <jwe@octave.org>
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|
1689 |
eb1524b07fe3
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21202
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|
1690 OCTAVE_LOCAL_BUFFER (float, rw, k); |
22135
407c66ae1e20
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|
1691 F77_XFCN (cqrdec, CQRDEC, (m, n, k, F77_CMPLX_ARG (q.fortran_vec ()), q.rows (), |
407c66ae1e20
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22133
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|
1692 F77_CMPLX_ARG (r.fortran_vec ()), r.rows (), j + 1, rw)); |
21279
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1693 |
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|
1694 if (k < m) |
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|
1695 { |
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|
1696 q.resize (m, k-1); |
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John W. Eaton <jwe@octave.org>
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diff
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|
1697 r.resize (k-1, n-1); |
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diff
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|
1698 } |
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diff
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|
1699 else |
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diff
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|
1700 { |
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diff
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|
1701 r.resize (k, n-1); |
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|
1702 } |
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|
1703 } |
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|
1704 |
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|
1705 template <> |
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John W. Eaton <jwe@octave.org>
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diff
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|
1706 void |
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|
1707 qr<FloatComplexMatrix>::delete_col (const Array<octave_idx_type>& j) |
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diff
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|
1708 { |
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diff
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|
1709 octave_idx_type m = q.rows (); |
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diff
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|
1710 octave_idx_type n = r.columns (); |
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John W. Eaton <jwe@octave.org>
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|
1711 octave_idx_type k = q.columns (); |
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diff
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|
1712 |
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|
1713 Array<octave_idx_type> jsi; |
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better use of templates for qr classes
John W. Eaton <jwe@octave.org>
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1714 Array<octave_idx_type> js = j.sort (jsi, 0, DESCENDING); |
eb1524b07fe3
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|
1715 octave_idx_type nj = js.numel (); |
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|
1716 bool dups = false; |
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|
1717 for (octave_idx_type i = 0; i < nj - 1; i++) |
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|
1718 dups = dups && js(i) == js(i+1); |
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|
1719 |
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|
1720 if (dups) |
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|
1721 (*current_liboctave_error_handler) ("qrinsert: duplicate index detected"); |
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|
1722 if (nj > 0 && (js(0) > n-1 || js(nj-1) < 0)) |
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|
1723 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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|
1724 |
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|
1725 if (nj > 0) |
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John W. Eaton <jwe@octave.org>
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diff
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|
1726 { |
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|
1727 OCTAVE_LOCAL_BUFFER (float, rw, k); |
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John W. Eaton <jwe@octave.org>
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|
1728 for (volatile octave_idx_type i = 0; i < js.numel (); i++) |
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|
1729 { |
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|
1730 octave_idx_type ii = i; |
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diff
changeset
|
1731 F77_XFCN (cqrdec, CQRDEC, (m, n - ii, k == m ? k : k - ii, |
22135
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John W. Eaton <jwe@octave.org>
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|
1732 F77_CMPLX_ARG (q.fortran_vec ()), q.rows (), |
407c66ae1e20
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John W. Eaton <jwe@octave.org>
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diff
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|
1733 F77_CMPLX_ARG (r.fortran_vec ()), r.rows (), |
21279
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|
1734 js(ii) + 1, rw)); |
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diff
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|
1735 } |
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John W. Eaton <jwe@octave.org>
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diff
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|
1736 if (k < m) |
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John W. Eaton <jwe@octave.org>
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diff
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|
1737 { |
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diff
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|
1738 q.resize (m, k - nj); |
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|
1739 r.resize (k - nj, n - nj); |
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diff
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|
1740 } |
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diff
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|
1741 else |
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diff
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|
1742 { |
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diff
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|
1743 r.resize (k, n - nj); |
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21202
diff
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|
1744 } |
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21202
diff
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|
1745 |
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21202
diff
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|
1746 } |
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diff
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|
1747 } |
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John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
1748 |
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John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
1749 template <> |
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John W. Eaton <jwe@octave.org>
parents:
21202
diff
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|
1750 void |
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John W. Eaton <jwe@octave.org>
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21202
diff
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|
1751 qr<FloatComplexMatrix>::insert_row (const FloatComplexRowVector& u, octave_idx_type j) |
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John W. Eaton <jwe@octave.org>
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diff
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|
1752 { |
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|
1753 octave_idx_type m = r.rows (); |
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|
1754 octave_idx_type n = r.columns (); |
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John W. Eaton <jwe@octave.org>
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diff
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|
1755 octave_idx_type k = std::min (m, n); |
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John W. Eaton <jwe@octave.org>
parents:
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diff
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|
1756 |
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
1757 if (! q.is_square () || u.numel () != n) |
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|
1758 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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|
1759 if (j < 0 || j > m) |
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John W. Eaton <jwe@octave.org>
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diff
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|
1760 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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John W. Eaton <jwe@octave.org>
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21202
diff
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|
1761 |
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John W. Eaton <jwe@octave.org>
parents:
21202
diff
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|
1762 q.resize (m + 1, m + 1); |
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John W. Eaton <jwe@octave.org>
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|
1763 r.resize (m + 1, n); |
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John W. Eaton <jwe@octave.org>
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|
1764 FloatComplexRowVector utmp = u; |
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John W. Eaton <jwe@octave.org>
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21202
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|
1765 OCTAVE_LOCAL_BUFFER (float, rw, k); |
22135
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John W. Eaton <jwe@octave.org>
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22133
diff
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|
1766 F77_XFCN (cqrinr, CQRINR, (m, n, F77_CMPLX_ARG (q.fortran_vec ()), q.rows (), |
407c66ae1e20
reduce warnings from GCC's link-time optimization feature (bug #48531)
John W. Eaton <jwe@octave.org>
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22133
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|
1767 F77_CMPLX_ARG (r.fortran_vec ()), r.rows (), |
407c66ae1e20
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|
1768 j + 1, F77_CMPLX_ARG (utmp.fortran_vec ()), rw)); |
21279
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|
1769 |
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John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
1770 } |
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John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
1771 |
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John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
1772 template <> |
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John W. Eaton <jwe@octave.org>
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21202
diff
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|
1773 void |
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|
1774 qr<FloatComplexMatrix>::delete_row (octave_idx_type j) |
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|
1775 { |
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diff
changeset
|
1776 octave_idx_type m = r.rows (); |
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|
1777 octave_idx_type n = r.columns (); |
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|
1778 |
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diff
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|
1779 if (! q.is_square ()) |
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changeset
|
1780 (*current_liboctave_error_handler) ("qrdelete: dimensions mismatch"); |
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|
1781 if (j < 0 || j > m-1) |
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|
1782 (*current_liboctave_error_handler) ("qrdelete: index out of range"); |
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|
1783 |
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|
1784 OCTAVE_LOCAL_BUFFER (FloatComplex, w, m); |
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|
1785 OCTAVE_LOCAL_BUFFER (float, rw, m); |
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|
1786 F77_XFCN (cqrder, CQRDER, (m, n, F77_CMPLX_ARG (q.fortran_vec ()), q.rows (), |
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John W. Eaton <jwe@octave.org>
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|
1787 F77_CMPLX_ARG (r.fortran_vec ()), r.rows (), j + 1, |
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|
1788 F77_CMPLX_ARG (w), rw)); |
21279
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|
1789 |
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|
1790 q.resize (m - 1, m - 1); |
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|
1791 r.resize (m - 1, n); |
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|
1792 } |
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|
1793 |
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changeset
|
1794 template <> |
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diff
changeset
|
1795 void |
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|
1796 qr<FloatComplexMatrix>::shift_cols (octave_idx_type i, octave_idx_type j) |
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|
1797 { |
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|
1798 octave_idx_type m = q.rows (); |
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|
1799 octave_idx_type k = r.rows (); |
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|
1800 octave_idx_type n = r.columns (); |
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|
1801 |
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|
1802 if (i < 0 || i > n-1 || j < 0 || j > n-1) |
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|
1803 (*current_liboctave_error_handler) ("qrshift: index out of range"); |
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|
1804 |
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|
1805 OCTAVE_LOCAL_BUFFER (FloatComplex, w, k); |
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|
1806 OCTAVE_LOCAL_BUFFER (float, rw, k); |
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|
1807 F77_XFCN (cqrshc, CQRSHC, (m, n, k, |
22135
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|
1808 F77_CMPLX_ARG (q.fortran_vec ()), q.rows (), |
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|
1809 F77_CMPLX_ARG (r.fortran_vec ()), r.rows (), |
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1810 i + 1, j + 1, F77_CMPLX_ARG (w), rw)); |
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1811 } |
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1812 |
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1813 #endif |
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1814 |
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1815 // Instantiations we need. |
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1816 |
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1817 template class qr<Matrix>; |
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1818 |
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1819 template class qr<FloatMatrix>; |
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parents:
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1820 |
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1821 template class qr<ComplexMatrix>; |
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1822 |
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1823 template class qr<FloatComplexMatrix>; |
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John W. Eaton <jwe@octave.org>
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1824 |
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1825 } |
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1826 } |