annotate liboctave/dbleCHOL.cc @ 11518:141b3fb5cef7

style fixes
author John W. Eaton <jwe@octave.org>
date Thu, 13 Jan 2011 16:52:30 -0500
parents 8a5e980da6aa
children fd0a3ac60b0e
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1 /*
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2
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3 Copyright (C) 1994, 1995, 1996, 1997, 2002, 2003, 2004, 2005, 2007
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4 John W. Eaton
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5 Copyright (C) 2008, 2009 Jaroslav Hajek
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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 #ifdef 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 <vector>
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30
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31 #include "dRowVector.h"
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32 #include "dbleCHOL.h"
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33 #include "f77-fcn.h"
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34 #include "lo-error.h"
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35 #include "oct-locbuf.h"
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36 #include "oct-norm.h"
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37 #ifndef HAVE_QRUPDATE
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38 #include "dbleQR.h"
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39 #endif
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40
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41 extern "C"
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42 {
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43 F77_RET_T
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44 F77_FUNC (dpotrf, DPOTRF) (F77_CONST_CHAR_ARG_DECL,
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45 const octave_idx_type&, double*,
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46 const octave_idx_type&, octave_idx_type&
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47 F77_CHAR_ARG_LEN_DECL);
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48
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49 F77_RET_T
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50 F77_FUNC (dpotri, DPOTRI) (F77_CONST_CHAR_ARG_DECL,
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51 const octave_idx_type&, double*,
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52 const octave_idx_type&, octave_idx_type&
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53 F77_CHAR_ARG_LEN_DECL);
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54
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55 F77_RET_T
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56 F77_FUNC (dpocon, DPOCON) (F77_CONST_CHAR_ARG_DECL,
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57 const octave_idx_type&, double*,
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58 const octave_idx_type&, const double&,
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59 double&, double*, octave_idx_type*,
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60 octave_idx_type&
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61 F77_CHAR_ARG_LEN_DECL);
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62 #ifdef HAVE_QRUPDATE
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63
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64 F77_RET_T
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65 F77_FUNC (dch1up, DCH1UP) (const octave_idx_type&, double*,
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66 const octave_idx_type&, double*, double*);
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67
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68 F77_RET_T
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69 F77_FUNC (dch1dn, DCH1DN) (const octave_idx_type&, double*,
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70 const octave_idx_type&, double*, double*,
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71 octave_idx_type&);
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72
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73 F77_RET_T
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74 F77_FUNC (dchinx, DCHINX) (const octave_idx_type&, double*,
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75 const octave_idx_type&, const octave_idx_type&,
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76 double*, double*, octave_idx_type&);
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77
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78 F77_RET_T
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79 F77_FUNC (dchdex, DCHDEX) (const octave_idx_type&, double*,
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80 const octave_idx_type&, const octave_idx_type&,
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81 double*);
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82
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83 F77_RET_T
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84 F77_FUNC (dchshx, DCHSHX) (const octave_idx_type&, double*,
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85 const octave_idx_type&, const octave_idx_type&,
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86 const octave_idx_type&, double*);
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87 #endif
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88 }
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89
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90 octave_idx_type
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91 CHOL::init (const Matrix& a, bool calc_cond)
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92 {
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93 octave_idx_type a_nr = a.rows ();
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94 octave_idx_type a_nc = a.cols ();
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95
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96 if (a_nr != a_nc)
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97 {
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98 (*current_liboctave_error_handler) ("CHOL requires square matrix");
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99 return -1;
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100 }
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101
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102 octave_idx_type n = a_nc;
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103 octave_idx_type info;
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104
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105 chol_mat.clear (n, n);
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106 for (octave_idx_type j = 0; j < n; j++)
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107 {
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108 for (octave_idx_type i = 0; i <= j; i++)
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109 chol_mat.xelem (i, j) = a(i, j);
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110 for (octave_idx_type i = j+1; i < n; i++)
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111 chol_mat.xelem (i, j) = 0.0;
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112 }
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113 double *h = chol_mat.fortran_vec ();
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114
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115 // Calculate the norm of the matrix, for later use.
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116 double anorm = 0;
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117 if (calc_cond)
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118 anorm = xnorm (a, 1);
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119
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120 F77_XFCN (dpotrf, DPOTRF, (F77_CONST_CHAR_ARG2 ("U", 1),
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121 n, h, n, info
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122 F77_CHAR_ARG_LEN (1)));
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123
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124 xrcond = 0.0;
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125 if (info > 0)
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126 chol_mat.resize (info - 1, info - 1);
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127 else if (calc_cond)
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128 {
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129 octave_idx_type dpocon_info = 0;
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130
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131 // Now calculate the condition number for non-singular matrix.
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132 Array<double> z (3*n, 1);
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133 double *pz = z.fortran_vec ();
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134 Array<octave_idx_type> iz (n, 1);
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135 octave_idx_type *piz = iz.fortran_vec ();
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136 F77_XFCN (dpocon, DPOCON, (F77_CONST_CHAR_ARG2 ("U", 1), n, h,
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137 n, anorm, xrcond, pz, piz, dpocon_info
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138 F77_CHAR_ARG_LEN (1)));
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139
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140 if (dpocon_info != 0)
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141 info = -1;
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142 }
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143
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144 return info;
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145 }
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146
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147 static Matrix
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148 chol2inv_internal (const Matrix& r)
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149 {
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150 Matrix retval;
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151
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152 octave_idx_type r_nr = r.rows ();
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153 octave_idx_type r_nc = r.cols ();
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154
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155 if (r_nr == r_nc)
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156 {
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157 octave_idx_type n = r_nc;
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158 octave_idx_type info = 0;
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159
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160 Matrix tmp = r;
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161 double *v = tmp.fortran_vec();
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162
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163 if (info == 0)
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164 {
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165 F77_XFCN (dpotri, DPOTRI, (F77_CONST_CHAR_ARG2 ("U", 1), n,
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166 v, n, info
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167 F77_CHAR_ARG_LEN (1)));
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168
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169 // If someone thinks of a more graceful way of doing this (or
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170 // faster for that matter :-)), please let me know!
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171
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172 if (n > 1)
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173 for (octave_idx_type j = 0; j < r_nc; j++)
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174 for (octave_idx_type i = j+1; i < r_nr; i++)
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175 tmp.xelem (i, j) = tmp.xelem (j, i);
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176
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177 retval = tmp;
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178 }
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179 }
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180 else
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181 (*current_liboctave_error_handler) ("chol2inv requires square matrix");
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182
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183 return retval;
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184 }
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185
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186 // Compute the inverse of a matrix using the Cholesky factorization.
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187 Matrix
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188 CHOL::inverse (void) const
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189 {
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190 return chol2inv_internal (chol_mat);
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191 }
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192
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193 void
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194 CHOL::set (const Matrix& R)
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195 {
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196 if (R.is_square ())
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197 chol_mat = R;
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198 else
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199 (*current_liboctave_error_handler) ("CHOL requires square matrix");
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200 }
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201
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202 #ifdef HAVE_QRUPDATE
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203
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204 void
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205 CHOL::update (const ColumnVector& u)
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206 {
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207 octave_idx_type n = chol_mat.rows ();
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208
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209 if (u.length () == n)
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210 {
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211 ColumnVector utmp = u;
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212
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213 OCTAVE_LOCAL_BUFFER (double, w, n);
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214
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215 F77_XFCN (dch1up, DCH1UP, (n, chol_mat.fortran_vec (), chol_mat.rows (),
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216 utmp.fortran_vec (), w));
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217 }
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218 else
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219 (*current_liboctave_error_handler) ("cholupdate: dimension mismatch");
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220 }
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221
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222 octave_idx_type
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223 CHOL::downdate (const ColumnVector& u)
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224 {
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225 octave_idx_type info = -1;
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226
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227 octave_idx_type n = chol_mat.rows ();
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228
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229 if (u.length () == n)
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230 {
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231 ColumnVector utmp = u;
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232
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233 OCTAVE_LOCAL_BUFFER (double, w, n);
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234
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235 F77_XFCN (dch1dn, DCH1DN, (n, chol_mat.fortran_vec (), chol_mat.rows (),
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236 utmp.fortran_vec (), w, info));
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237 }
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238 else
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239 (*current_liboctave_error_handler) ("cholupdate: dimension mismatch");
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240
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241 return info;
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242 }
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243
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244 octave_idx_type
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245 CHOL::insert_sym (const ColumnVector& u, octave_idx_type j)
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246 {
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247 octave_idx_type info = -1;
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248
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249 octave_idx_type n = chol_mat.rows ();
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250
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251 if (u.length () != n + 1)
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252 (*current_liboctave_error_handler) ("cholinsert: dimension mismatch");
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253 else if (j < 0 || j > n)
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254 (*current_liboctave_error_handler) ("cholinsert: index out of range");
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255 else
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256 {
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257 ColumnVector utmp = u;
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258
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259 OCTAVE_LOCAL_BUFFER (double, w, n);
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260
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261 chol_mat.resize (n+1, n+1);
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262
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263 F77_XFCN (dchinx, DCHINX, (n, chol_mat.fortran_vec (), chol_mat.rows (),
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264 j + 1, utmp.fortran_vec (), w, info));
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265 }
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266
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267 return info;
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268 }
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269
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270 void
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271 CHOL::delete_sym (octave_idx_type j)
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272 {
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273 octave_idx_type n = chol_mat.rows ();
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274
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275 if (j < 0 || j > n-1)
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276 (*current_liboctave_error_handler) ("choldelete: index out of range");
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277 else
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278 {
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279 OCTAVE_LOCAL_BUFFER (double, w, n);
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280
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281 F77_XFCN (dchdex, DCHDEX, (n, chol_mat.fortran_vec (), chol_mat.rows (),
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282 j + 1, w));
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283
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284 chol_mat.resize (n-1, n-1);
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285 }
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286 }
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287
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288 void
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289 CHOL::shift_sym (octave_idx_type i, octave_idx_type j)
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290 {
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291 octave_idx_type n = chol_mat.rows ();
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292
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293 if (i < 0 || i > n-1 || j < 0 || j > n-1)
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294 (*current_liboctave_error_handler) ("cholshift: index out of range");
7700
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295 else
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296 {
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297 OCTAVE_LOCAL_BUFFER (double, w, 2*n);
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298
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299 F77_XFCN (dchshx, DCHSHX, (n, chol_mat.fortran_vec (), chol_mat.rows (),
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300 i + 1, j + 1, w));
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301 }
7700
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302 }
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303
8562
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304 #else
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305
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306 void
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307 CHOL::update (const ColumnVector& u)
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308 {
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309 warn_qrupdate_once ();
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310
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311 octave_idx_type n = chol_mat.rows ();
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312
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313 if (u.length () == n)
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314 {
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315 init (chol_mat.transpose () * chol_mat
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316 + Matrix (u) * Matrix (u).transpose (), false);
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317 }
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318 else
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319 (*current_liboctave_error_handler) ("cholupdate: dimension mismatch");
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320 }
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321
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322 static bool
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323 singular (const Matrix& a)
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324 {
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325 for (octave_idx_type i = 0; i < a.rows (); i++)
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326 if (a(i,i) == 0.0) return true;
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327 return false;
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328 }
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329
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330 octave_idx_type
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331 CHOL::downdate (const ColumnVector& u)
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332 {
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333 warn_qrupdate_once ();
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334
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335 octave_idx_type info = -1;
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336
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337 octave_idx_type n = chol_mat.rows ();
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338
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339 if (u.length () == n)
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340 {
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341 if (singular (chol_mat))
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342 info = 2;
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343 else
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344 {
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345 info = init (chol_mat.transpose () * chol_mat
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346 - Matrix (u) * Matrix (u).transpose (), false);
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347 if (info) info = 1;
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348 }
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349 }
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350 else
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351 (*current_liboctave_error_handler) ("cholupdate: dimension mismatch");
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352
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353 return info;
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354 }
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355
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356 octave_idx_type
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diff changeset
357 CHOL::insert_sym (const ColumnVector& u, octave_idx_type j)
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358 {
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359 warn_qrupdate_once ();
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360
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361 octave_idx_type info = -1;
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362
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diff changeset
363 octave_idx_type n = chol_mat.rows ();
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364
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365 if (u.length () != n + 1)
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366 (*current_liboctave_error_handler) ("cholinsert: dimension mismatch");
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367 else if (j < 0 || j > n)
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368 (*current_liboctave_error_handler) ("cholinsert: index out of range");
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369 else
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370 {
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371 if (singular (chol_mat))
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372 info = 2;
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373 else
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374 {
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375 Matrix a = chol_mat.transpose () * chol_mat;
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diff changeset
376 Matrix a1 (n+1, n+1);
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diff changeset
377 for (octave_idx_type k = 0; k < n+1; k++)
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diff changeset
378 for (octave_idx_type l = 0; l < n+1; l++)
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diff changeset
379 {
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380 if (l == j)
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diff changeset
381 a1(k, l) = u(k);
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382 else if (k == j)
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diff changeset
383 a1(k, l) = u(l);
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384 else
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385 a1(k, l) = a(k < j ? k : k-1, l < j ? l : l-1);
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386 }
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diff changeset
387 info = init (a1, false);
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diff changeset
388 if (info) info = 1;
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diff changeset
389 }
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diff changeset
390 }
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diff changeset
391
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392 return info;
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393 }
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diff changeset
394
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diff changeset
395 void
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diff changeset
396 CHOL::delete_sym (octave_idx_type j)
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diff changeset
397 {
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diff changeset
398 warn_qrupdate_once ();
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diff changeset
399
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diff changeset
400 octave_idx_type n = chol_mat.rows ();
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diff changeset
401
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diff changeset
402 if (j < 0 || j > n-1)
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diff changeset
403 (*current_liboctave_error_handler) ("choldelete: index out of range");
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diff changeset
404 else
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diff changeset
405 {
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diff changeset
406 Matrix a = chol_mat.transpose () * chol_mat;
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diff changeset
407 a.delete_elements (1, idx_vector (j));
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diff changeset
408 a.delete_elements (0, idx_vector (j));
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diff changeset
409 init (a, false);
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diff changeset
410 }
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diff changeset
411 }
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diff changeset
412
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diff changeset
413 void
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diff changeset
414 CHOL::shift_sym (octave_idx_type i, octave_idx_type j)
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diff changeset
415 {
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diff changeset
416 warn_qrupdate_once ();
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diff changeset
417
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diff changeset
418 octave_idx_type n = chol_mat.rows ();
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diff changeset
419
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diff changeset
420 if (i < 0 || i > n-1 || j < 0 || j > n-1)
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diff changeset
421 (*current_liboctave_error_handler) ("cholshift: index out of range");
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diff changeset
422 else
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diff changeset
423 {
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diff changeset
424 Matrix a = chol_mat.transpose () * chol_mat;
10350
12884915a8e4 merge MArray classes & improve Array interface
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parents: 10314
diff changeset
425 Array<octave_idx_type> p (n, 1);
8562
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diff changeset
426 for (octave_idx_type k = 0; k < n; k++) p(k) = k;
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diff changeset
427 if (i < j)
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diff changeset
428 {
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diff changeset
429 for (octave_idx_type k = i; k < j; k++) p(k) = k+1;
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diff changeset
430 p(j) = i;
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431 }
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parents: 8547
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432 else if (j < i)
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parents: 8547
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433 {
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parents: 8547
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434 p(j) = i;
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parents: 8547
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435 for (octave_idx_type k = j+1; k < i+1; k++) p(k) = k-1;
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parents: 8547
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436 }
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Jaroslav Hajek <highegg@gmail.com>
parents: 8547
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437
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parents: 8547
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438 init (a.index (idx_vector (p), idx_vector (p)), false);
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Jaroslav Hajek <highegg@gmail.com>
parents: 8547
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439 }
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Jaroslav Hajek <highegg@gmail.com>
parents: 8547
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440 }
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Jaroslav Hajek <highegg@gmail.com>
parents: 8547
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441
8547
d66c9b6e506a imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents: 8377
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442 #endif
d66c9b6e506a imported patch qrupdate.diff
Jaroslav Hajek <highegg@gmail.com>
parents: 8377
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443
5340
15843d76156d [project @ 2005-05-06 16:26:58 by jwe]
jwe
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444 Matrix
15843d76156d [project @ 2005-05-06 16:26:58 by jwe]
jwe
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445 chol2inv (const Matrix& r)
15843d76156d [project @ 2005-05-06 16:26:58 by jwe]
jwe
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446 {
15843d76156d [project @ 2005-05-06 16:26:58 by jwe]
jwe
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447 return chol2inv_internal (r);
15843d76156d [project @ 2005-05-06 16:26:58 by jwe]
jwe
parents: 5307
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448 }