Mercurial > octave
annotate liboctave/numeric/sparse-chol.cc @ 27919:1891570abac8
update Octave Project Developers copyright for the new year
In files that have the "Octave Project Developers" copyright notice,
update for 2020.
author | John W. Eaton <jwe@octave.org> |
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date | Mon, 06 Jan 2020 22:29:51 -0500 |
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27919
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update Octave Project Developers copyright for the new year
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3 Copyright (C) 1998-2020 The Octave Project Developers |
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4 |
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5 See the file COPYRIGHT.md in the top-level directory of this distribution |
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6 or <https://octave.org/COPYRIGHT.html/>. |
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7 |
7016 | 8 |
9 This file is part of Octave. | |
5506 | 10 |
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11 Octave is free software: you can redistribute it and/or modify it |
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12 under the terms of the GNU General Public License as published by |
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13 the Free Software Foundation, either version 3 of the License, or |
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14 (at your option) any later version. |
5506 | 15 |
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16 Octave is distributed in the hope that it will be useful, but |
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17 WITHOUT ANY WARRANTY; without even the implied warranty of |
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18 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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19 GNU General Public License for more details. |
5506 | 20 |
21 You should have received a copy of the GNU General Public License | |
7016 | 22 along with Octave; see the file COPYING. If not, see |
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23 <https://www.gnu.org/licenses/>. |
5506 | 24 |
25 */ | |
26 | |
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27 #if defined (HAVE_CONFIG_H) |
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28 # include "config.h" |
5506 | 29 #endif |
30 | |
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31 #include <cstddef> |
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32 |
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33 #include "CSparse.h" |
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34 #include "MatrixType.h" |
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35 #include "dRowVector.h" |
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36 #include "dSparse.h" |
5506 | 37 #include "lo-error.h" |
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38 #include "oct-cmplx.h" |
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39 #include "oct-refcount.h" |
5506 | 40 #include "oct-sparse.h" |
41 #include "oct-spparms.h" | |
42 #include "quit.h" | |
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43 #include "sparse-chol.h" |
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44 #include "sparse-util.h" |
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46 namespace octave |
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47 { |
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48 namespace math |
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49 { |
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50 template <typename chol_type> |
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51 class sparse_chol<chol_type>::sparse_chol_rep |
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52 { |
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53 public: |
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54 |
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55 sparse_chol_rep (void) |
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56 : count (1), is_pd (false), minor_p (0), perms (), cond (0) |
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57 #if defined (HAVE_CHOLMOD) |
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58 , Lsparse (nullptr), Common () |
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59 #endif |
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60 { } |
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61 |
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62 sparse_chol_rep (const chol_type& a, bool natural, bool force) |
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63 : count (1), is_pd (false), minor_p (0), perms (), cond (0) |
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64 #if defined (HAVE_CHOLMOD) |
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65 , Lsparse (nullptr), Common () |
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66 #endif |
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67 { |
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68 init (a, natural, force); |
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69 } |
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70 |
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71 sparse_chol_rep (const chol_type& a, octave_idx_type& info, |
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72 bool natural, bool force) |
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73 : count (1), is_pd (false), minor_p (0), perms (), cond (0) |
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74 #if defined (HAVE_CHOLMOD) |
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75 , Lsparse (nullptr), Common () |
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76 #endif |
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77 { |
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78 info = init (a, natural, force); |
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79 } |
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80 |
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81 // No copying! |
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82 |
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83 sparse_chol_rep (const sparse_chol_rep&) = delete; |
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84 |
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85 sparse_chol_rep& operator = (const sparse_chol_rep&) = delete; |
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86 |
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87 ~sparse_chol_rep (void) |
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88 { |
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89 #if defined (HAVE_CHOLMOD) |
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90 if (Lsparse) |
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91 CHOLMOD_NAME (free_sparse) (&Lsparse, &Common); |
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92 |
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93 CHOLMOD_NAME(finish) (&Common); |
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94 #endif |
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95 } |
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96 |
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97 #if defined (HAVE_CHOLMOD) |
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98 cholmod_sparse * L (void) const |
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99 { |
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100 return Lsparse; |
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101 } |
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102 #endif |
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103 |
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104 octave_idx_type P (void) const |
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105 { |
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106 #if defined (HAVE_CHOLMOD) |
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107 return (minor_p == static_cast<octave_idx_type> (Lsparse->ncol) ? |
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108 0 : minor_p + 1); |
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109 #else |
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110 return 0; |
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111 #endif |
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112 } |
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113 |
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114 RowVector perm (void) const { return perms + 1; } |
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115 |
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116 SparseMatrix Q (void) const; |
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117 |
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118 bool is_positive_definite (void) const { return is_pd; } |
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119 |
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120 double rcond (void) const { return cond; } |
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121 |
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122 refcount<octave_idx_type> count; |
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123 |
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124 private: |
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125 |
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126 bool is_pd; |
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127 |
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128 octave_idx_type minor_p; |
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129 |
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130 RowVector perms; |
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132 double cond; |
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133 |
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134 #if defined (HAVE_CHOLMOD) |
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135 cholmod_sparse *Lsparse; |
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136 |
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137 cholmod_common Common; |
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138 |
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139 void drop_zeros (const cholmod_sparse *S); |
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140 #endif |
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141 |
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142 octave_idx_type init (const chol_type& a, bool natural, bool force); |
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143 }; |
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144 |
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145 #if defined (HAVE_CHOLMOD) |
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146 |
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147 // Can't use CHOLMOD_NAME(drop)(0.0, S, cm) because it doesn't treat |
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148 // complex matrices. |
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149 |
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150 template <typename chol_type> |
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151 void |
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152 sparse_chol<chol_type>::sparse_chol_rep::drop_zeros (const cholmod_sparse *S) |
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153 { |
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154 if (! S) |
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155 return; |
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157 octave_idx_type *Sp = static_cast<octave_idx_type *>(S->p); |
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158 octave_idx_type *Si = static_cast<octave_idx_type *>(S->i); |
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159 chol_elt *Sx = static_cast<chol_elt *>(S->x); |
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160 |
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161 octave_idx_type pdest = 0; |
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162 octave_idx_type ncol = S->ncol; |
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164 for (octave_idx_type k = 0; k < ncol; k++) |
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165 { |
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166 octave_idx_type p = Sp[k]; |
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167 octave_idx_type pend = Sp[k+1]; |
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168 Sp[k] = pdest; |
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169 |
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170 for (; p < pend; p++) |
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171 { |
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172 chol_elt sik = Sx[p]; |
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173 |
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174 if (CHOLMOD_IS_NONZERO (sik)) |
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175 { |
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176 if (p != pdest) |
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177 { |
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178 Si[pdest] = Si[p]; |
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179 Sx[pdest] = sik; |
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180 } |
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181 |
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182 pdest++; |
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183 } |
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184 } |
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185 } |
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186 |
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187 Sp[ncol] = pdest; |
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189 |
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190 // Must provide a specialization for this function. |
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191 template <typename T> |
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192 int |
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193 get_xtype (void); |
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194 |
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195 template <> |
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196 inline int |
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197 get_xtype<double> (void) |
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198 { |
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199 return CHOLMOD_REAL; |
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200 } |
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201 |
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202 template <> |
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203 inline int |
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204 get_xtype<Complex> (void) |
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205 { |
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206 return CHOLMOD_COMPLEX; |
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207 } |
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208 |
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211 template <typename chol_type> |
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212 octave_idx_type |
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213 sparse_chol<chol_type>::sparse_chol_rep::init (const chol_type& a, |
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214 bool natural, bool force) |
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215 { |
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216 volatile octave_idx_type info = 0; |
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217 |
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218 #if defined (HAVE_CHOLMOD) |
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219 |
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220 octave_idx_type a_nr = a.rows (); |
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221 octave_idx_type a_nc = a.cols (); |
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223 if (a_nr != a_nc) |
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224 (*current_liboctave_error_handler) |
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225 ("sparse_chol requires square matrix"); |
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227 cholmod_common *cm = &Common; |
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229 // Setup initial parameters |
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230 |
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231 CHOLMOD_NAME(start) (cm); |
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232 cm->prefer_zomplex = false; |
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234 double spu = octave_sparse_params::get_key ("spumoni"); |
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235 |
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236 if (spu == 0.) |
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237 { |
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238 cm->print = -1; |
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239 SUITESPARSE_ASSIGN_FPTR (printf_func, cm->print_function, nullptr); |
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240 } |
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241 else |
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242 { |
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243 cm->print = static_cast<int> (spu) + 2; |
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244 SUITESPARSE_ASSIGN_FPTR (printf_func, cm->print_function, |
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245 &SparseCholPrint); |
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246 } |
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247 |
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248 cm->error_handler = &SparseCholError; |
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249 |
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250 SUITESPARSE_ASSIGN_FPTR2 (divcomplex_func, cm->complex_divide, |
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251 divcomplex); |
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252 |
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253 SUITESPARSE_ASSIGN_FPTR2 (hypot_func, cm->hypotenuse, hypot); |
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255 cm->final_asis = false; |
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256 cm->final_super = false; |
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257 cm->final_ll = true; |
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258 cm->final_pack = true; |
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259 cm->final_monotonic = true; |
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260 cm->final_resymbol = false; |
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261 |
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262 cholmod_sparse A; |
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263 cholmod_sparse *ac = &A; |
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264 double dummy; |
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266 ac->nrow = a_nr; |
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267 ac->ncol = a_nc; |
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269 ac->p = a.cidx (); |
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270 ac->i = a.ridx (); |
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271 ac->nzmax = a.nnz (); |
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272 ac->packed = true; |
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273 ac->sorted = true; |
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274 ac->nz = nullptr; |
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275 #if defined (OCTAVE_ENABLE_64) |
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276 ac->itype = CHOLMOD_LONG; |
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277 #else |
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278 ac->itype = CHOLMOD_INT; |
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279 #endif |
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280 ac->dtype = CHOLMOD_DOUBLE; |
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281 ac->stype = 1; |
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282 ac->xtype = get_xtype<chol_elt> (); |
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284 if (a_nr < 1) |
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285 ac->x = &dummy; |
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286 else |
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287 ac->x = a.data (); |
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289 // use natural ordering if no q output parameter |
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290 if (natural) |
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291 { |
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292 cm->nmethods = 1; |
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293 cm->method[0].ordering = CHOLMOD_NATURAL; |
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294 cm->postorder = false; |
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295 } |
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297 cholmod_factor *Lfactor; |
5506 | 298 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
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299 Lfactor = CHOLMOD_NAME(analyze) (ac, cm); |
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300 CHOLMOD_NAME(factorize) (ac, Lfactor, cm); |
5506 | 301 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
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302 |
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303 is_pd = cm->status == CHOLMOD_OK; |
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304 info = (is_pd ? 0 : cm->status); |
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305 |
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306 if (is_pd || force) |
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307 { |
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308 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
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309 cond = CHOLMOD_NAME(rcond) (Lfactor, cm); |
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310 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
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311 |
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312 minor_p = Lfactor->minor; |
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313 |
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314 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
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315 Lsparse = CHOLMOD_NAME(factor_to_sparse) (Lfactor, cm); |
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316 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
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317 |
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318 if (minor_p > 0 && minor_p < a_nr) |
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319 { |
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320 size_t n1 = a_nr + 1; |
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321 Lsparse->p = CHOLMOD_NAME(realloc) (minor_p+1, |
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322 sizeof(octave_idx_type), |
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323 Lsparse->p, &n1, cm); |
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324 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
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325 CHOLMOD_NAME(reallocate_sparse) |
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326 (static_cast<octave_idx_type *>(Lsparse->p)[minor_p], |
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327 Lsparse, cm); |
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328 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
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329 |
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330 Lsparse->ncol = minor_p; |
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331 } |
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332 |
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333 drop_zeros (Lsparse); |
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334 |
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335 if (! natural) |
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336 { |
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337 perms.resize (a_nr); |
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338 for (octave_idx_type i = 0; i < a_nr; i++) |
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339 perms(i) = static_cast<octave_idx_type *>(Lfactor->Perm)[i]; |
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340 } |
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341 } |
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342 |
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343 // NAME used to prefix statistics report from print_common |
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344 static char blank_name[] = " "; |
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345 |
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346 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
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347 CHOLMOD_NAME(print_common) (blank_name, cm); |
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348 CHOLMOD_NAME(free_factor) (&Lfactor, cm); |
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349 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
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350 |
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351 return info; |
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352 |
5506 | 353 #else |
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354 |
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355 octave_unused_parameter (a); |
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356 octave_unused_parameter (natural); |
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357 octave_unused_parameter (force); |
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358 |
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359 (*current_liboctave_error_handler) |
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360 ("support for CHOLMOD was unavailable or disabled when liboctave was built"); |
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361 |
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362 return info; |
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363 |
5506 | 364 #endif |
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365 } |
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367 template <typename chol_type> |
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368 SparseMatrix |
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369 sparse_chol<chol_type>::sparse_chol_rep::Q (void) const |
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370 { |
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371 #if defined (HAVE_CHOLMOD) |
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372 |
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373 octave_idx_type n = Lsparse->nrow; |
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374 SparseMatrix p (n, n, n); |
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375 |
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376 for (octave_idx_type i = 0; i < n; i++) |
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377 { |
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378 p.xcidx (i) = i; |
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379 p.xridx (i) = static_cast<octave_idx_type> (perms (i)); |
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380 p.xdata (i) = 1; |
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381 } |
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382 |
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383 p.xcidx (n) = n; |
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384 |
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385 return p; |
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386 |
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387 #else |
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388 |
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389 return SparseMatrix (); |
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390 |
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391 #endif |
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392 } |
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393 |
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394 template <typename chol_type> |
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395 sparse_chol<chol_type>::sparse_chol (void) |
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396 : rep (new typename sparse_chol<chol_type>::sparse_chol_rep ()) |
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397 { } |
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398 |
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399 template <typename chol_type> |
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400 sparse_chol<chol_type>::sparse_chol (const chol_type& a, bool natural, |
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401 bool force) |
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402 : rep (new typename |
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403 sparse_chol<chol_type>::sparse_chol_rep (a, natural, force)) |
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404 { } |
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405 |
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406 template <typename chol_type> |
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407 sparse_chol<chol_type>::sparse_chol (const chol_type& a, |
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408 octave_idx_type& info, |
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409 bool natural, bool force) |
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410 : rep (new typename |
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411 sparse_chol<chol_type>::sparse_chol_rep (a, info, natural, force)) |
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412 { } |
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413 |
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414 template <typename chol_type> |
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415 sparse_chol<chol_type>::sparse_chol (const chol_type& a, |
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416 octave_idx_type& info, |
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417 bool natural) |
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418 : rep (new typename |
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419 sparse_chol<chol_type>::sparse_chol_rep (a, info, natural, false)) |
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420 { } |
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421 |
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422 template <typename chol_type> |
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423 sparse_chol<chol_type>::sparse_chol (const chol_type& a, |
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424 octave_idx_type& info) |
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425 : rep (new typename |
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426 sparse_chol<chol_type>::sparse_chol_rep (a, info, false, false)) |
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427 { } |
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428 |
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429 template <typename chol_type> |
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430 sparse_chol<chol_type>::sparse_chol (const sparse_chol<chol_type>& a) |
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431 : rep (a.rep) |
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432 { |
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433 rep->count++; |
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434 } |
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435 |
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436 template <typename chol_type> |
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437 sparse_chol<chol_type>::~sparse_chol (void) |
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438 { |
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439 if (--rep->count == 0) |
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440 delete rep; |
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441 } |
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442 |
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443 template <typename chol_type> |
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444 sparse_chol<chol_type>& |
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445 sparse_chol<chol_type>::operator = (const sparse_chol& a) |
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446 { |
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447 if (this != &a) |
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448 { |
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449 if (--rep->count == 0) |
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450 delete rep; |
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451 |
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452 rep = a.rep; |
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453 rep->count++; |
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454 } |
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455 |
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456 return *this; |
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457 } |
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458 |
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459 template <typename chol_type> |
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460 chol_type |
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461 sparse_chol<chol_type>::L (void) const |
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462 { |
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463 #if defined (HAVE_CHOLMOD) |
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464 |
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465 cholmod_sparse *m = rep->L (); |
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466 |
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467 octave_idx_type nc = m->ncol; |
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468 octave_idx_type nnz = m->nzmax; |
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469 |
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470 chol_type ret (m->nrow, nc, nnz); |
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471 |
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472 for (octave_idx_type j = 0; j < nc+1; j++) |
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473 ret.xcidx (j) = static_cast<octave_idx_type *>(m->p)[j]; |
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474 |
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475 for (octave_idx_type i = 0; i < nnz; i++) |
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476 { |
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477 ret.xridx (i) = static_cast<octave_idx_type *>(m->i)[i]; |
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478 ret.xdata (i) = static_cast<chol_elt *>(m->x)[i]; |
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479 } |
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480 |
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481 return ret; |
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482 |
5506 | 483 #else |
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484 |
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485 return chol_type (); |
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486 |
5506 | 487 #endif |
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488 } |
5506 | 489 |
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490 template <typename chol_type> |
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491 octave_idx_type |
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492 sparse_chol<chol_type>::P (void) const |
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493 { |
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494 return rep->P (); |
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495 } |
5506 | 496 |
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497 template <typename chol_type> |
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498 RowVector |
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499 sparse_chol<chol_type>::perm (void) const |
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500 { |
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|
501 return rep->perm (); |
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502 } |
5506 | 503 |
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504 template <typename chol_type> |
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505 SparseMatrix |
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|
506 sparse_chol<chol_type>::Q (void) const |
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507 { |
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508 return rep->Q (); |
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509 } |
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revamp sparse Cholesky factorization classes
John W. Eaton <jwe@octave.org>
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510 |
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|
511 template <typename chol_type> |
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|
512 bool |
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|
513 sparse_chol<chol_type>::is_positive_definite (void) const |
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514 { |
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515 return rep->is_positive_definite (); |
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516 } |
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|
517 |
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|
518 template <typename chol_type> |
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519 double |
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520 sparse_chol<chol_type>::rcond (void) const |
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521 { |
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522 return rep->rcond (); |
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|
523 } |
21145
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revamp sparse Cholesky factorization classes
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|
524 |
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525 template <typename chol_type> |
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|
526 chol_type |
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|
527 sparse_chol<chol_type>::inverse (void) const |
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528 { |
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529 chol_type retval; |
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530 |
21724
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531 #if defined (HAVE_CHOLMOD) |
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|
532 |
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|
533 cholmod_sparse *m = rep->L (); |
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534 octave_idx_type n = m->ncol; |
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535 RowVector perms = rep->perm (); |
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536 double rcond2; |
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537 octave_idx_type info; |
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538 MatrixType mattype (MatrixType::Upper); |
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539 chol_type linv = L ().hermitian ().inverse (mattype, info, rcond2, 1, 0); |
5506 | 540 |
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541 if (perms.numel () == n) |
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542 { |
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543 SparseMatrix Qc = Q (); |
21177
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|
544 |
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545 retval = Qc * linv * linv.hermitian () * Qc.transpose (); |
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546 } |
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547 else |
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548 retval = linv * linv.hermitian (); |
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changeset
|
549 |
5506 | 550 #endif |
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|
551 |
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552 return retval; |
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553 } |
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554 |
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|
555 template <typename chol_type> |
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diff
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|
556 chol_type |
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|
557 chol2inv (const chol_type& r) |
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558 { |
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|
559 octave_idx_type r_nr = r.rows (); |
7f3c7a8bd131
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|
560 octave_idx_type r_nc = r.cols (); |
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parents:
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changeset
|
561 chol_type retval; |
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revamp sparse Cholesky factorization classes
John W. Eaton <jwe@octave.org>
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|
562 |
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563 if (r_nr != r_nc) |
7f3c7a8bd131
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|
564 (*current_liboctave_error_handler) ("U must be a square matrix"); |
21145
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diff
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|
565 |
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|
566 MatrixType mattype (r); |
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|
567 int typ = mattype.type (false); |
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|
568 double rcond; |
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|
569 octave_idx_type info; |
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|
570 chol_type rtra, multip; |
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|
571 |
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|
572 if (typ == MatrixType::Upper) |
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|
573 { |
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|
574 rtra = r.transpose (); |
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|
575 multip = (rtra*r); |
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|
576 } |
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|
577 else if (typ == MatrixType::Lower) |
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|
578 { |
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|
579 rtra = r.transpose (); |
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|
580 multip = (r*rtra); |
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|
581 } |
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|
582 else |
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|
583 (*current_liboctave_error_handler) ("U must be a triangular matrix"); |
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changeset
|
584 |
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|
585 MatrixType mattypenew (multip); |
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|
586 retval = multip.inverse (mattypenew, info, rcond, true, false); |
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|
587 return retval; |
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|
588 } |
21186
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|
589 |
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|
590 // SparseComplexMatrix specialization (the value for the NATURAL |
7f3c7a8bd131
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|
591 // parameter in the sparse_chol<T>::sparse_chol_rep constructor is |
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|
592 // different from the default). |
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|
593 |
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|
594 template <> |
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|
595 sparse_chol<SparseComplexMatrix>::sparse_chol (const SparseComplexMatrix& a, |
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|
596 octave_idx_type& info) |
22402
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Rik <rik@octave.org>
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|
597 : rep (new sparse_chol<SparseComplexMatrix>::sparse_chol_rep (a, info, |
4caa7b28d183
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|
598 true, |
4caa7b28d183
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|
599 false)) |
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|
600 { } |
21186
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|
601 |
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|
602 // Instantiations we need. |
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603 |
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|
604 template class sparse_chol<SparseMatrix>; |
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|
605 |
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changeset
|
606 template class sparse_chol<SparseComplexMatrix>; |
22317
6ca3acf5fad8
move some new numeric classes to namespace octave::math
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|
607 |
22329
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maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents:
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608 template SparseMatrix |
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John W. Eaton <jwe@octave.org>
parents:
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609 chol2inv<SparseMatrix> (const SparseMatrix& r); |
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maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents:
22323
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changeset
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610 |
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maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents:
22323
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changeset
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611 template SparseComplexMatrix |
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maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents:
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changeset
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612 chol2inv<SparseComplexMatrix> (const SparseComplexMatrix& r); |
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maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents:
22323
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613 } |
22317
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move some new numeric classes to namespace octave::math
John W. Eaton <jwe@octave.org>
parents:
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614 } |