Mercurial > hg > octave-nkf
annotate liboctave/numeric/dbleCHOL.cc @ 20830:b65888ec820e draft default tip gccjit
dmalcom gcc jit import
author | Stefan Mahr <dac922@gmx.de> |
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date | Fri, 27 Feb 2015 16:59:36 +0100 |
parents | dcfbf4c1c3c8 |
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457 | 1 /* |
2 | |
19898
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3 Copyright (C) 1994-2015 John W. Eaton |
11523 | 4 Copyright (C) 2008-2009 Jaroslav Hajek |
457 | 5 |
6 This file is part of Octave. | |
7 | |
8 Octave is free software; you can redistribute it and/or modify it | |
9 under the terms of the GNU General Public License as published by the | |
7016 | 10 Free Software Foundation; either version 3 of the License, or (at your |
11 option) any later version. | |
457 | 12 |
13 Octave is distributed in the hope that it will be useful, but WITHOUT | |
14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
16 for more details. | |
17 | |
18 You should have received a copy of the GNU General Public License | |
7016 | 19 along with Octave; see the file COPYING. If not, see |
20 <http://www.gnu.org/licenses/>. | |
457 | 21 |
22 */ | |
23 | |
24 #ifdef HAVE_CONFIG_H | |
1192 | 25 #include <config.h> |
457 | 26 #endif |
27 | |
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28 #include <vector> |
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29 |
6486 | 30 #include "dRowVector.h" |
457 | 31 #include "dbleCHOL.h" |
1847 | 32 #include "f77-fcn.h" |
457 | 33 #include "lo-error.h" |
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34 #include "oct-locbuf.h" |
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35 #include "oct-norm.h" |
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36 #ifndef HAVE_QRUPDATE |
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37 #include "dbleQR.h" |
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38 #endif |
457 | 39 |
40 extern "C" | |
41 { | |
4552 | 42 F77_RET_T |
11518 | 43 F77_FUNC (dpotrf, DPOTRF) (F77_CONST_CHAR_ARG_DECL, |
44 const octave_idx_type&, double*, | |
45 const octave_idx_type&, octave_idx_type& | |
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46 F77_CHAR_ARG_LEN_DECL); |
5340 | 47 |
48 F77_RET_T | |
11518 | 49 F77_FUNC (dpotri, DPOTRI) (F77_CONST_CHAR_ARG_DECL, |
50 const octave_idx_type&, double*, | |
51 const octave_idx_type&, octave_idx_type& | |
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52 F77_CHAR_ARG_LEN_DECL); |
6486 | 53 |
54 F77_RET_T | |
11518 | 55 F77_FUNC (dpocon, DPOCON) (F77_CONST_CHAR_ARG_DECL, |
56 const octave_idx_type&, double*, | |
57 const octave_idx_type&, const double&, | |
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58 double&, double*, octave_idx_type*, |
11518 | 59 octave_idx_type& |
60 F77_CHAR_ARG_LEN_DECL); | |
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61 #ifdef HAVE_QRUPDATE |
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62 |
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63 F77_RET_T |
11495 | 64 F77_FUNC (dch1up, DCH1UP) (const octave_idx_type&, double*, |
65 const octave_idx_type&, double*, double*); | |
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66 |
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67 F77_RET_T |
11495 | 68 F77_FUNC (dch1dn, DCH1DN) (const octave_idx_type&, double*, |
69 const octave_idx_type&, double*, double*, | |
70 octave_idx_type&); | |
71 | |
72 F77_RET_T | |
73 F77_FUNC (dchinx, DCHINX) (const octave_idx_type&, double*, | |
74 const octave_idx_type&, const octave_idx_type&, | |
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75 double*, double*, octave_idx_type&); |
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76 |
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77 F77_RET_T |
11495 | 78 F77_FUNC (dchdex, DCHDEX) (const octave_idx_type&, double*, |
79 const octave_idx_type&, const octave_idx_type&, | |
80 double*); | |
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81 |
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82 F77_RET_T |
11495 | 83 F77_FUNC (dchshx, DCHSHX) (const octave_idx_type&, double*, |
84 const octave_idx_type&, const octave_idx_type&, | |
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85 const octave_idx_type&, double*); |
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86 #endif |
457 | 87 } |
88 | |
5275 | 89 octave_idx_type |
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90 CHOL::init (const Matrix& a, bool upper, bool calc_cond) |
457 | 91 { |
5275 | 92 octave_idx_type a_nr = a.rows (); |
93 octave_idx_type a_nc = a.cols (); | |
1944 | 94 |
457 | 95 if (a_nr != a_nc) |
96 { | |
97 (*current_liboctave_error_handler) ("CHOL requires square matrix"); | |
98 return -1; | |
99 } | |
100 | |
5275 | 101 octave_idx_type n = a_nc; |
102 octave_idx_type info; | |
457 | 103 |
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104 is_upper = upper; |
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105 |
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106 chol_mat.clear (n, n); |
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107 if (is_upper) |
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108 { |
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109 for (octave_idx_type j = 0; j < n; j++) |
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110 { |
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111 for (octave_idx_type i = 0; i <= j; i++) |
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112 chol_mat.xelem (i, j) = a (i, j); |
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113 for (octave_idx_type i = j + 1; i < n; i++) |
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114 chol_mat.xelem (i, j) = 0.0; |
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115 } |
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116 } |
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117 else |
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118 { |
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119 for (octave_idx_type j = 0; j < n; j++) |
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120 { |
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121 for (octave_idx_type i = 0; i < j; i++) |
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122 chol_mat.xelem (i, j) = 0.0; |
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123 for (octave_idx_type i = j; i < n; i++) |
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124 chol_mat.xelem (i, j) = a (i, j); |
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125 } |
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126 } |
1944 | 127 double *h = chol_mat.fortran_vec (); |
457 | 128 |
6486 | 129 // Calculate the norm of the matrix, for later use. |
130 double anorm = 0; | |
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131 if (calc_cond) |
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132 anorm = xnorm (a, 1); |
6486 | 133 |
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134 if (is_upper) |
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135 { |
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136 F77_XFCN (dpotrf, DPOTRF, (F77_CONST_CHAR_ARG2 ("U", 1), |
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137 n, h, n, info |
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138 F77_CHAR_ARG_LEN (1))); |
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139 } |
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140 else |
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141 { |
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142 F77_XFCN (dpotrf, DPOTRF, (F77_CONST_CHAR_ARG2 ("L", 1), |
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143 n, h, n, info |
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144 F77_CHAR_ARG_LEN (1))); |
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145 } |
457 | 146 |
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147 xrcond = 0.0; |
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148 if (info > 0) |
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149 chol_mat.resize (info - 1, info - 1); |
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150 else if (calc_cond) |
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151 { |
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152 octave_idx_type dpocon_info = 0; |
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153 |
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154 // Now calculate the condition number for non-singular matrix. |
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155 Array<double> z (dim_vector (3*n, 1)); |
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156 double *pz = z.fortran_vec (); |
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157 Array<octave_idx_type> iz (dim_vector (n, 1)); |
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158 octave_idx_type *piz = iz.fortran_vec (); |
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159 if (is_upper) |
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160 { |
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161 F77_XFCN (dpocon, DPOCON, (F77_CONST_CHAR_ARG2 ("U", 1), n, h, |
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162 n, anorm, xrcond, pz, piz, dpocon_info |
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163 F77_CHAR_ARG_LEN (1))); |
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164 } |
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165 else |
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166 { |
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167 F77_XFCN (dpocon, DPOCON, (F77_CONST_CHAR_ARG2 ("L", 1), n, h, |
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168 n, anorm, xrcond, pz, piz, dpocon_info |
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169 F77_CHAR_ARG_LEN (1))); |
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170 } |
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171 |
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172 if (dpocon_info != 0) |
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173 info = -1; |
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174 } |
457 | 175 |
176 return info; | |
177 } | |
178 | |
5340 | 179 static Matrix |
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180 chol2inv_internal (const Matrix& r, bool is_upper = true) |
5340 | 181 { |
182 Matrix retval; | |
183 | |
184 octave_idx_type r_nr = r.rows (); | |
185 octave_idx_type r_nc = r.cols (); | |
186 | |
187 if (r_nr == r_nc) | |
188 { | |
189 octave_idx_type n = r_nc; | |
6486 | 190 octave_idx_type info = 0; |
5340 | 191 |
192 Matrix tmp = r; | |
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193 double *v = tmp.fortran_vec (); |
5340 | 194 |
6486 | 195 if (info == 0) |
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196 { |
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197 if (is_upper) |
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198 { |
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199 F77_XFCN (dpotri, DPOTRI, (F77_CONST_CHAR_ARG2 ("U", 1), n, |
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200 v, n, info |
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201 F77_CHAR_ARG_LEN (1))); |
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202 } |
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203 else |
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204 { |
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205 F77_XFCN (dpotri, DPOTRI, (F77_CONST_CHAR_ARG2 ("L", 1), n, |
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206 v, n, info |
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207 F77_CHAR_ARG_LEN (1))); |
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208 } |
5340 | 209 |
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210 // If someone thinks of a more graceful way of doing this (or |
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211 // faster for that matter :-)), please let me know! |
5340 | 212 |
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213 if (n > 1) |
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214 { |
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215 if (is_upper) |
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216 { |
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217 for (octave_idx_type j = 0; j < r_nc; j++) |
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218 for (octave_idx_type i = j+1; i < r_nr; i++) |
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219 tmp.xelem (i, j) = tmp.xelem (j, i); |
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220 } |
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221 else |
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222 { |
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223 for (octave_idx_type j = 0; j < r_nc; j++) |
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224 for (octave_idx_type i = j+1; i < r_nr; i++) |
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225 tmp.xelem (j, i) = tmp.xelem (i, j); |
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226 } |
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227 } |
6486 | 228 |
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229 retval = tmp; |
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230 } |
5340 | 231 } |
232 else | |
233 (*current_liboctave_error_handler) ("chol2inv requires square matrix"); | |
234 | |
235 return retval; | |
236 } | |
237 | |
238 // Compute the inverse of a matrix using the Cholesky factorization. | |
239 Matrix | |
240 CHOL::inverse (void) const | |
241 { | |
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242 return chol2inv_internal (chol_mat, is_upper); |
5340 | 243 } |
244 | |
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245 void |
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246 CHOL::set (const Matrix& R) |
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247 { |
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248 if (R.is_square ()) |
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249 chol_mat = R; |
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250 else |
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251 (*current_liboctave_error_handler) ("CHOL requires square matrix"); |
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252 } |
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253 |
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254 #ifdef HAVE_QRUPDATE |
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255 |
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256 void |
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257 CHOL::update (const ColumnVector& u) |
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258 { |
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259 octave_idx_type n = chol_mat.rows (); |
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260 |
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261 if (u.numel () == n) |
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262 { |
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263 ColumnVector utmp = u; |
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264 |
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265 OCTAVE_LOCAL_BUFFER (double, w, n); |
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266 |
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267 F77_XFCN (dch1up, DCH1UP, (n, chol_mat.fortran_vec (), chol_mat.rows (), |
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268 utmp.fortran_vec (), w)); |
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269 } |
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270 else |
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271 (*current_liboctave_error_handler) ("cholupdate: dimension mismatch"); |
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272 } |
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273 |
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274 octave_idx_type |
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275 CHOL::downdate (const ColumnVector& u) |
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276 { |
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277 octave_idx_type info = -1; |
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278 |
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279 octave_idx_type n = chol_mat.rows (); |
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280 |
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281 if (u.numel () == n) |
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282 { |
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283 ColumnVector utmp = u; |
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284 |
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285 OCTAVE_LOCAL_BUFFER (double, w, n); |
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286 |
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287 F77_XFCN (dch1dn, DCH1DN, (n, chol_mat.fortran_vec (), chol_mat.rows (), |
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288 utmp.fortran_vec (), w, info)); |
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289 } |
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290 else |
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291 (*current_liboctave_error_handler) ("cholupdate: dimension mismatch"); |
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292 |
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293 return info; |
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294 } |
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295 |
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296 octave_idx_type |
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297 CHOL::insert_sym (const ColumnVector& u, octave_idx_type j) |
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298 { |
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299 octave_idx_type info = -1; |
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300 |
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301 octave_idx_type n = chol_mat.rows (); |
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302 |
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303 if (u.numel () != n + 1) |
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304 (*current_liboctave_error_handler) ("cholinsert: dimension mismatch"); |
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305 else if (j < 0 || j > n) |
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306 (*current_liboctave_error_handler) ("cholinsert: index out of range"); |
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307 else |
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308 { |
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309 ColumnVector utmp = u; |
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310 |
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311 OCTAVE_LOCAL_BUFFER (double, w, n); |
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312 |
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313 chol_mat.resize (n+1, n+1); |
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314 |
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315 F77_XFCN (dchinx, DCHINX, (n, chol_mat.fortran_vec (), chol_mat.rows (), |
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316 j + 1, utmp.fortran_vec (), w, info)); |
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317 } |
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318 |
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319 return info; |
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320 } |
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321 |
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322 void |
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323 CHOL::delete_sym (octave_idx_type j) |
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324 { |
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325 octave_idx_type n = chol_mat.rows (); |
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326 |
7700
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327 if (j < 0 || j > n-1) |
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328 (*current_liboctave_error_handler) ("choldelete: index out of range"); |
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329 else |
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330 { |
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331 OCTAVE_LOCAL_BUFFER (double, w, n); |
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332 |
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333 F77_XFCN (dchdex, DCHDEX, (n, chol_mat.fortran_vec (), chol_mat.rows (), |
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334 j + 1, w)); |
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335 |
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336 chol_mat.resize (n-1, n-1); |
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337 } |
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338 } |
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339 |
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340 void |
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341 CHOL::shift_sym (octave_idx_type i, octave_idx_type j) |
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342 { |
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343 octave_idx_type n = chol_mat.rows (); |
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344 |
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345 if (i < 0 || i > n-1 || j < 0 || j > n-1) |
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346 (*current_liboctave_error_handler) ("cholshift: index out of range"); |
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347 else |
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348 { |
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349 OCTAVE_LOCAL_BUFFER (double, w, 2*n); |
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350 |
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351 F77_XFCN (dchshx, DCHSHX, (n, chol_mat.fortran_vec (), chol_mat.rows (), |
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352 i + 1, j + 1, w)); |
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353 } |
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354 } |
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355 |
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356 #else |
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357 |
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358 void |
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359 CHOL::update (const ColumnVector& u) |
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360 { |
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361 warn_qrupdate_once (); |
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362 |
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363 octave_idx_type n = chol_mat.rows (); |
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364 |
20442
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Deprecate Array::length() and Sparse::length() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents:
19898
diff
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|
365 if (u.numel () == n) |
8562
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366 { |
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|
367 init (chol_mat.transpose () * chol_mat |
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368 + Matrix (u) * Matrix (u).transpose (), false); |
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369 } |
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370 else |
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371 (*current_liboctave_error_handler) ("cholupdate: dimension mismatch"); |
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372 } |
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373 |
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374 static bool |
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375 singular (const Matrix& a) |
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376 { |
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377 for (octave_idx_type i = 0; i < a.rows (); i++) |
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378 if (a(i,i) == 0.0) return true; |
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379 return false; |
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380 } |
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381 |
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382 octave_idx_type |
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383 CHOL::downdate (const ColumnVector& u) |
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384 { |
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|
385 warn_qrupdate_once (); |
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|
386 |
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|
387 octave_idx_type info = -1; |
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|
388 |
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389 octave_idx_type n = chol_mat.rows (); |
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|
390 |
20442
a9574e3c6e9e
Deprecate Array::length() and Sparse::length() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents:
19898
diff
changeset
|
391 if (u.numel () == n) |
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|
392 { |
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|
393 if (singular (chol_mat)) |
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394 info = 2; |
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|
395 else |
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|
396 { |
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|
397 info = init (chol_mat.transpose () * chol_mat |
17769
49a5a4be04a1
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Rik <rik@octave.org>
parents:
17744
diff
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|
398 - Matrix (u) * Matrix (u).transpose (), false); |
8562
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|
399 if (info) info = 1; |
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|
400 } |
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|
401 } |
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|
402 else |
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changeset
|
403 (*current_liboctave_error_handler) ("cholupdate: dimension mismatch"); |
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diff
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|
404 |
a6edd5c23cb5
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|
405 return info; |
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|
406 } |
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diff
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|
407 |
a6edd5c23cb5
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|
408 octave_idx_type |
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|
409 CHOL::insert_sym (const ColumnVector& u, octave_idx_type j) |
a6edd5c23cb5
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|
410 { |
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|
411 warn_qrupdate_once (); |
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|
412 |
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|
413 octave_idx_type info = -1; |
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|
414 |
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changeset
|
415 octave_idx_type n = chol_mat.rows (); |
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|
416 |
20442
a9574e3c6e9e
Deprecate Array::length() and Sparse::length() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents:
19898
diff
changeset
|
417 if (u.numel () != n + 1) |
8562
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|
418 (*current_liboctave_error_handler) ("cholinsert: dimension mismatch"); |
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|
419 else if (j < 0 || j > n) |
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|
420 (*current_liboctave_error_handler) ("cholinsert: index out of range"); |
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|
421 else |
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diff
changeset
|
422 { |
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changeset
|
423 if (singular (chol_mat)) |
a6edd5c23cb5
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|
424 info = 2; |
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diff
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|
425 else |
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parents:
8547
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changeset
|
426 { |
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changeset
|
427 Matrix a = chol_mat.transpose () * chol_mat; |
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changeset
|
428 Matrix a1 (n+1, n+1); |
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diff
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|
429 for (octave_idx_type k = 0; k < n+1; k++) |
a6edd5c23cb5
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changeset
|
430 for (octave_idx_type l = 0; l < n+1; l++) |
a6edd5c23cb5
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diff
changeset
|
431 { |
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diff
changeset
|
432 if (l == j) |
a6edd5c23cb5
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|
433 a1(k, l) = u(k); |
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diff
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|
434 else if (k == j) |
a6edd5c23cb5
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|
435 a1(k, l) = u(l); |
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436 else |
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437 a1(k, l) = a(k < j ? k : k-1, l < j ? l : l-1); |
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438 } |
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439 info = init (a1, false); |
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440 if (info) info = 1; |
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441 } |
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442 } |
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443 |
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444 return info; |
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445 } |
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446 |
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447 void |
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448 CHOL::delete_sym (octave_idx_type j) |
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449 { |
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450 warn_qrupdate_once (); |
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451 |
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452 octave_idx_type n = chol_mat.rows (); |
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453 |
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454 if (j < 0 || j > n-1) |
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455 (*current_liboctave_error_handler) ("choldelete: index out of range"); |
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456 else |
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457 { |
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458 Matrix a = chol_mat.transpose () * chol_mat; |
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459 a.delete_elements (1, idx_vector (j)); |
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460 a.delete_elements (0, idx_vector (j)); |
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461 init (a, false); |
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462 } |
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463 } |
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464 |
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465 void |
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466 CHOL::shift_sym (octave_idx_type i, octave_idx_type j) |
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467 { |
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468 warn_qrupdate_once (); |
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469 |
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470 octave_idx_type n = chol_mat.rows (); |
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471 |
11586
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472 if (i < 0 || i > n-1 || j < 0 || j > n-1) |
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473 (*current_liboctave_error_handler) ("cholshift: index out of range"); |
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474 else |
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475 { |
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476 Matrix a = chol_mat.transpose () * chol_mat; |
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477 Array<octave_idx_type> p (dim_vector (n, 1)); |
8562
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478 for (octave_idx_type k = 0; k < n; k++) p(k) = k; |
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479 if (i < j) |
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480 { |
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481 for (octave_idx_type k = i; k < j; k++) p(k) = k+1; |
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482 p(j) = i; |
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483 } |
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484 else if (j < i) |
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485 { |
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486 p(j) = i; |
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487 for (octave_idx_type k = j+1; k < i+1; k++) p(k) = k-1; |
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488 } |
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489 |
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490 init (a.index (idx_vector (p), idx_vector (p)), false); |
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491 } |
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492 } |
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493 |
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494 #endif |
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495 |
5340 | 496 Matrix |
497 chol2inv (const Matrix& r) | |
498 { | |
499 return chol2inv_internal (r); | |
500 } |