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1 /* |
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2 |
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3 Copyright (C) 2005 David Bateman |
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4 Copyright (C) 1998-2005 Andy Adler |
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5 |
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6 Octave is free software; you can redistribute it and/or modify it |
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7 under the terms of the GNU General Public License as published by the |
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8 Free Software Foundation; either version 2, or (at your option) any |
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9 later version. |
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10 |
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11 Octave is distributed in the hope that it will be useful, but WITHOUT |
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12 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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13 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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14 for more details. |
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15 |
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16 You should have received a copy of the GNU General Public License |
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17 along with this program; see the file COPYING. If not, write to the |
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18 Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, |
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19 Boston, MA 02110-1301, USA. |
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20 |
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21 */ |
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22 |
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23 #ifdef HAVE_CONFIG_H |
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24 #include <config.h> |
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25 #endif |
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26 |
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27 #include "sparse-base-chol.h" |
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28 #include "sparse-util.h" |
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29 #include "lo-error.h" |
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30 #include "oct-sparse.h" |
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31 #include "oct-spparms.h" |
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32 #include "quit.h" |
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33 #include "MatrixType.h" |
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34 |
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35 #ifdef HAVE_CHOLMOD |
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36 // Can't use CHOLMOD_NAME(drop)(0.0, S, cm). It doesn't treat complex matrices |
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37 template <class chol_type, class chol_elt, class p_type> |
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38 void |
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39 sparse_base_chol<chol_type, chol_elt, p_type>::sparse_base_chol_rep::drop_zeros |
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40 (const cholmod_sparse* S) |
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41 { |
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42 chol_elt sik; |
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43 octave_idx_type *Sp, *Si; |
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44 chol_elt *Sx; |
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45 octave_idx_type pdest, k, ncol, p, pend; |
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46 |
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47 if (! S) |
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48 return; |
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49 |
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50 Sp = static_cast<octave_idx_type *>(S->p); |
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51 Si = static_cast<octave_idx_type *>(S->i); |
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52 Sx = static_cast<chol_elt *>(S->x); |
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53 pdest = 0; |
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54 ncol = S->ncol; |
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55 |
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56 for (k = 0; k < ncol; k++) |
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57 { |
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58 p = Sp [k]; |
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59 pend = Sp [k+1]; |
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60 Sp [k] = pdest; |
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61 for (; p < pend; p++) |
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62 { |
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63 sik = Sx [p]; |
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64 if (CHOLMOD_IS_NONZERO (sik)) |
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65 { |
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66 if (p != pdest) |
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67 { |
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68 Si [pdest] = Si [p]; |
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69 Sx [pdest] = sik; |
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70 } |
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71 pdest++; |
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72 } |
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73 } |
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74 } |
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75 Sp [ncol] = pdest; |
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76 } |
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77 #endif |
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78 |
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79 template <class chol_type, class chol_elt, class p_type> |
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80 octave_idx_type |
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81 sparse_base_chol<chol_type, chol_elt, p_type>::sparse_base_chol_rep::init |
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82 (const chol_type& a, bool natural) |
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83 { |
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84 volatile octave_idx_type info = 0; |
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85 #ifdef HAVE_CHOLMOD |
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86 octave_idx_type a_nr = a.rows (); |
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87 octave_idx_type a_nc = a.cols (); |
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88 |
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89 if (a_nr != a_nc) |
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90 { |
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91 (*current_liboctave_error_handler) |
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92 ("SparseCHOL requires square matrix"); |
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93 return -1; |
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94 } |
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95 |
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96 cholmod_common *cm = &Common; |
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97 |
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98 // Setup initial parameters |
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99 CHOLMOD_NAME(start) (cm); |
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100 cm->prefer_zomplex = false; |
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101 |
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102 double spu = octave_sparse_params::get_key ("spumoni"); |
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103 if (spu == 0.) |
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104 { |
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105 cm->print = -1; |
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106 cm->print_function = 0; |
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107 } |
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108 else |
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109 { |
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110 cm->print = static_cast<int> (spu) + 2; |
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111 cm->print_function =&SparseCholPrint; |
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112 } |
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113 |
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114 cm->error_handler = &SparseCholError; |
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115 cm->complex_divide = CHOLMOD_NAME(divcomplex); |
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116 cm->hypotenuse = CHOLMOD_NAME(hypot); |
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117 |
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118 #ifdef HAVE_METIS |
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119 // METIS 4.0.1 uses malloc and free, and will terminate if it runs |
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120 // out of memory. Use CHOLMOD's memory guard for METIS, which |
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121 // allocates a huge block of memory (and then immediately frees it) |
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122 // before calling METIS |
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123 cm->metis_memory = 2.0; |
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124 |
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125 #if defined(METIS_VERSION) |
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126 #if (METIS_VERSION >= METIS_VER(4,0,2)) |
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127 // METIS 4.0.2 uses function pointers for malloc and free. |
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128 METIS_malloc = cm->malloc_memory; |
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129 METIS_free = cm->free_memory; |
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130 // Turn off METIS memory guard. |
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131 cm->metis_memory = 0.0; |
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132 #endif |
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133 #endif |
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134 #endif |
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135 |
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136 cm->final_asis = false; |
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137 cm->final_super = false; |
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138 cm->final_ll = true; |
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139 cm->final_pack = true; |
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140 cm->final_monotonic = true; |
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141 cm->final_resymbol = false; |
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142 |
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143 cholmod_sparse A; |
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144 cholmod_sparse *ac = &A; |
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145 double dummy; |
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146 ac->nrow = a_nr; |
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147 ac->ncol = a_nc; |
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148 |
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149 ac->p = a.cidx(); |
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150 ac->i = a.ridx(); |
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151 ac->nzmax = a.nnz(); |
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152 ac->packed = true; |
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153 ac->sorted = true; |
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154 ac->nz = 0; |
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155 #ifdef IDX_TYPE_LONG |
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156 ac->itype = CHOLMOD_LONG; |
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157 #else |
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158 ac->itype = CHOLMOD_INT; |
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159 #endif |
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160 ac->dtype = CHOLMOD_DOUBLE; |
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161 ac->stype = 1; |
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162 #ifdef OCTAVE_CHOLMOD_TYPE |
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163 ac->xtype = OCTAVE_CHOLMOD_TYPE; |
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164 #else |
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165 ac->xtype = CHOLMOD_REAL; |
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166 #endif |
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167 |
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168 if (a_nr < 1) |
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169 ac->x = &dummy; |
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170 else |
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171 ac->x = a.data(); |
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172 |
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173 // use natural ordering if no q output parameter |
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174 if (natural) |
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175 { |
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176 cm->nmethods = 1 ; |
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177 cm->method [0].ordering = CHOLMOD_NATURAL ; |
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178 cm->postorder = false ; |
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179 } |
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180 |
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181 cholmod_factor *Lfactor; |
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182 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
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183 Lfactor = CHOLMOD_NAME(analyze) (ac, cm); |
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184 CHOLMOD_NAME(factorize) (ac, Lfactor, cm); |
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185 cond = CHOLMOD_NAME(rcond) (Lfactor, cm); |
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186 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
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187 |
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188 minor_p = Lfactor->minor; |
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189 is_pd = cm->status == CHOLMOD_OK; |
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190 info = (is_pd ? 0 : cm->status); |
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191 |
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192 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
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193 Lsparse = CHOLMOD_NAME(factor_to_sparse) (Lfactor, cm); |
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194 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
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195 |
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196 if (minor_p > 0 && minor_p < a_nr) |
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197 { |
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198 size_t n1 = a_nr + 1; |
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199 Lsparse->p = CHOLMOD_NAME(realloc) (minor_p+1, sizeof(octave_idx_type), |
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200 Lsparse->p, &n1, cm); |
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201 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
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202 CHOLMOD_NAME(reallocate_sparse) |
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203 (static_cast<octave_idx_type *>(Lsparse->p)[minor_p], Lsparse, cm); |
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204 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
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205 Lsparse->ncol = minor_p; |
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206 } |
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207 |
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208 drop_zeros (Lsparse); |
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209 |
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210 if (! natural) |
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211 { |
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212 perms.resize (a_nr); |
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213 for (octave_idx_type i = 0; i < a_nr; i++) |
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214 perms(i) = static_cast<octave_idx_type *>(Lfactor->Perm)[i]; |
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215 } |
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216 |
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217 static char tmp[] = " "; |
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218 |
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219 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
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220 CHOLMOD_NAME(free_factor) (&Lfactor, cm); |
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221 CHOLMOD_NAME(finish) (cm); |
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222 CHOLMOD_NAME(print_common) (tmp, cm); |
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223 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
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224 #else |
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225 (*current_liboctave_error_handler) |
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226 ("Missing CHOLMOD. Sparse cholesky factorization disabled"); |
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227 #endif |
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228 return info; |
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229 } |
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230 |
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231 template <class chol_type, class chol_elt, class p_type> |
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232 chol_type |
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233 sparse_base_chol<chol_type, chol_elt, p_type>::L (void) const |
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234 { |
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235 #ifdef HAVE_CHOLMOD |
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236 cholmod_sparse *m = rep->L(); |
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237 octave_idx_type nc = m->ncol; |
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238 octave_idx_type nnz = m->nzmax; |
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239 chol_type ret (m->nrow, nc, nnz); |
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240 for (octave_idx_type j = 0; j < nc+1; j++) |
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241 ret.xcidx(j) = static_cast<octave_idx_type *>(m->p)[j]; |
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242 for (octave_idx_type i = 0; i < nnz; i++) |
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243 { |
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244 ret.xridx(i) = static_cast<octave_idx_type *>(m->i)[i]; |
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245 ret.xdata(i) = static_cast<chol_elt *>(m->x)[i]; |
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246 } |
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247 return ret; |
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248 #else |
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249 return chol_type(); |
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250 #endif |
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251 } |
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252 |
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253 template <class chol_type, class chol_elt, class p_type> |
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254 p_type |
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255 sparse_base_chol<chol_type, chol_elt, p_type>:: |
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256 sparse_base_chol_rep::Q (void) const |
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257 { |
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258 #ifdef HAVE_CHOLMOD |
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259 octave_idx_type n = Lsparse->nrow; |
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260 p_type p (n, n, n); |
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261 |
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262 for (octave_idx_type i = 0; i < n; i++) |
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263 { |
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264 p.xcidx(i) = i; |
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265 p.xridx(i) = static_cast<octave_idx_type>(perms(i)); |
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266 p.xdata(i) = 1; |
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267 } |
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268 p.xcidx(n) = n; |
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269 |
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270 return p; |
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271 #else |
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272 return p_type(); |
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273 #endif |
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274 } |
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275 |
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276 template <class chol_type, class chol_elt, class p_type> |
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277 chol_type |
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278 sparse_base_chol<chol_type, chol_elt, p_type>::inverse (void) const |
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279 { |
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280 chol_type retval; |
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281 #ifdef HAVE_CHOLMOD |
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282 cholmod_sparse *m = rep->L(); |
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283 octave_idx_type n = m->ncol; |
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284 ColumnVector perms = rep->perm(); |
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285 chol_type ret; |
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286 double rcond2; |
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287 octave_idx_type info; |
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288 MatrixType mattype (MatrixType::Upper); |
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289 chol_type linv = L().transpose().inverse(mattype, info, rcond2, 1, 0); |
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290 |
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291 if (perms.length() == n) |
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292 { |
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293 p_type Qc = Q(); |
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294 retval = Qc * linv.transpose() * linv * Qc.transpose(); |
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295 } |
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296 else |
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297 retval = linv.transpose() * linv; |
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298 #endif |
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299 return retval; |
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300 } |
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301 |
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302 /* |
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303 ;;; Local Variables: *** |
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304 ;;; mode: C++ *** |
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305 ;;; End: *** |
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306 */ |
