1 | /**CFile*********************************************************************** |
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2 | |
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3 | FileName [markInProb.c] |
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4 | |
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5 | PackageName [mark] |
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6 | |
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7 | Synopsis [Computation of transition probability matrix and convergence |
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8 | checks in markov analysis.] |
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9 | |
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10 | Description [[Computation of transition probability matrix and convergence |
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11 | checks in markov analysis.] |
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12 | |
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13 | Author [Balakrishna Kumthekar] |
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14 | |
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15 | Copyright [This file was created at the University of Colorado at |
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16 | Boulder. The University of Colorado at Boulder makes no warranty |
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17 | about the suitability of this software for any purpose. It is |
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18 | presented on an AS IS basis.] |
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19 | |
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20 | ******************************************************************************/ |
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21 | |
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22 | #include "markInt.h" |
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23 | |
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24 | /*---------------------------------------------------------------------------*/ |
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25 | /* Constant declarations */ |
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26 | /*---------------------------------------------------------------------------*/ |
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27 | |
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28 | |
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29 | /*---------------------------------------------------------------------------*/ |
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30 | /* Stucture declarations */ |
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31 | /*---------------------------------------------------------------------------*/ |
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32 | |
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33 | |
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34 | /*---------------------------------------------------------------------------*/ |
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35 | /* Type declarations */ |
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36 | /*---------------------------------------------------------------------------*/ |
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37 | |
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38 | |
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39 | /*---------------------------------------------------------------------------*/ |
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40 | /* Variable declarations */ |
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41 | /*---------------------------------------------------------------------------*/ |
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42 | |
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43 | |
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44 | /*---------------------------------------------------------------------------*/ |
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45 | /* Macro declarations */ |
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46 | /*---------------------------------------------------------------------------*/ |
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47 | |
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48 | |
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49 | /**AutomaticStart*************************************************************/ |
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50 | |
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51 | /*---------------------------------------------------------------------------*/ |
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52 | /* Static function prototypes */ |
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53 | /*---------------------------------------------------------------------------*/ |
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54 | |
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55 | |
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56 | /**AutomaticEnd***************************************************************/ |
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57 | |
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58 | |
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59 | /*---------------------------------------------------------------------------*/ |
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60 | /* Definition of exported functions */ |
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61 | /*---------------------------------------------------------------------------*/ |
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62 | |
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63 | /**Function******************************************************************** |
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64 | |
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65 | Synopsis [Computes one-step transition probability matrix given the 0-1 |
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66 | ADD of transition relation and a table of primary input probabiliites.] |
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67 | |
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68 | Description [Computes one-step transition probability matrix given the 0-1 |
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69 | ADD of transition relation and a table of primary input probabiliites. tr is |
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70 | the 0-1 ADD, cube is a cube of primary inputs and probTable is a hash table |
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71 | that stores (<mdd_id>,<probability of x = 1>). The function returns the ADD |
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72 | for one-step transition probability matrix.] |
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73 | |
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74 | SideEffects [None] |
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75 | |
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76 | SeeAlso [] |
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77 | |
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78 | ******************************************************************************/ |
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79 | bdd_node * |
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80 | Mark_addInProb( |
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81 | bdd_manager *manager, |
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82 | bdd_node *tr, |
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83 | bdd_node *cube, |
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84 | st_table *probTable) |
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85 | { |
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86 | st_table *visited; |
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87 | st_generator *gen; |
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88 | bdd_node *result, *r, *k; |
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89 | |
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90 | do { |
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91 | bdd_set_reordered_field(manager, 0); |
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92 | visited = st_init_table(st_ptrcmp,st_ptrhash); |
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93 | bdd_ref(result = bdd_read_one(manager)); |
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94 | st_insert(visited,(char *)result,(char *)result); |
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95 | bdd_ref(result = bdd_read_zero(manager)); |
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96 | st_insert(visited,(char *)result,(char *)result); |
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97 | result = MarkAddInProbRecur(manager,tr,cube,probTable,visited); |
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98 | if (result) |
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99 | bdd_ref(result); |
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100 | st_foreach_item(visited,gen,&k,&r) { |
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101 | bdd_recursive_deref(manager,r); |
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102 | } |
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103 | st_free_table(visited); |
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104 | } while (bdd_read_reordered_field(manager) == 1); |
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105 | |
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106 | bdd_deref(result); |
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107 | return(result); |
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108 | |
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109 | } /* end of Mark_addInProb */ |
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110 | |
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111 | |
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112 | /*---------------------------------------------------------------------------*/ |
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113 | /* Definition of internal functions */ |
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114 | /*---------------------------------------------------------------------------*/ |
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115 | |
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116 | /**Function******************************************************************** |
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117 | |
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118 | Synopsis [Implements the recursive step of Mark_addInProb.] |
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119 | |
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120 | Description [Implements the recursive step of Mark_addInProb.] |
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121 | |
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122 | SideEffects [None] |
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123 | |
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124 | SeeAlso [] |
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125 | |
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126 | ******************************************************************************/ |
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127 | bdd_node * |
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128 | MarkAddInProbRecur( |
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129 | bdd_manager *manager, |
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130 | bdd_node *tr, |
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131 | bdd_node *cube, |
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132 | st_table *probTable, |
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133 | st_table *visited) |
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134 | { |
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135 | int topTR,topC; |
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136 | int index; |
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137 | double *prob; |
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138 | bdd_node *solT,*solE; |
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139 | bdd_node *solPT,*solPE; |
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140 | bdd_node *result; |
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141 | bdd_node *unique; |
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142 | |
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143 | /* lookup in the cache */ |
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144 | if(st_lookup(visited,tr,&result)) |
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145 | return(result); |
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146 | |
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147 | /* the cube is one then return */ |
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148 | if ( cube == bdd_read_one(manager)) |
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149 | return tr; |
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150 | |
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151 | /* Obtain the top variable indexes */ |
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152 | topTR = bdd_get_level_from_id(manager,bdd_node_read_index(tr)); |
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153 | topC = bdd_get_level_from_id(manager,bdd_node_read_index(cube)); |
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154 | |
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155 | /* The function does not depend on the top variable of the cube */ |
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156 | if (topTR > topC ) { |
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157 | result = MarkAddInProbRecur(manager,tr,bdd_bdd_T(cube),probTable,visited); |
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158 | return(result); |
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159 | } |
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160 | |
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161 | /* If both top variables are equal, solve subproblems and combine */ |
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162 | if (topTR == topC ) { |
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163 | solT = MarkAddInProbRecur(manager,bdd_bdd_T(tr),bdd_bdd_T(cube), |
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164 | probTable,visited); |
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165 | if (solT == NULL) { |
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166 | return NULL; |
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167 | } |
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168 | bdd_ref(solT); |
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169 | solE = MarkAddInProbRecur(manager,bdd_bdd_E(tr),bdd_bdd_T(cube), |
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170 | probTable,visited); |
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171 | if (solE == NULL) { |
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172 | bdd_recursive_deref(manager,solT); |
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173 | return NULL; |
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174 | } |
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175 | bdd_ref(solE); |
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176 | index = bdd_node_read_index(cube); |
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177 | st_lookup(probTable,(char *)(long)index,&prob); |
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178 | unique = bdd_add_const(manager,*prob); |
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179 | if(unique == NULL) { |
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180 | bdd_recursive_deref(manager,solT); |
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181 | bdd_recursive_deref(manager,solE); |
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182 | return NULL; |
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183 | } |
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184 | bdd_ref(unique); |
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185 | solPT = bdd_add_apply_recur(manager,bdd_add_times,solT,unique); |
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186 | if (solPT == NULL) { |
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187 | bdd_recursive_deref(manager,solT); |
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188 | bdd_recursive_deref(manager,solE); |
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189 | bdd_recursive_deref(manager,unique); |
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190 | return NULL; |
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191 | } |
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192 | bdd_ref(solPT); |
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193 | bdd_recursive_deref(manager,unique); |
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194 | bdd_recursive_deref(manager,solT); |
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195 | unique = bdd_add_const(manager,1.0 - *prob); |
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196 | if (unique == NULL) { |
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197 | bdd_recursive_deref(manager,solE); |
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198 | bdd_recursive_deref(manager,solPT); |
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199 | return NULL; |
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200 | } |
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201 | bdd_ref(unique); |
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202 | solPE = bdd_add_apply_recur(manager,bdd_add_times,solE,unique); |
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203 | if (solPE == NULL) { |
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204 | bdd_recursive_deref(manager,unique); |
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205 | bdd_recursive_deref(manager,solPT); |
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206 | bdd_recursive_deref(manager,solE); |
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207 | return NULL; |
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208 | } |
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209 | bdd_ref(solPE); |
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210 | bdd_recursive_deref(manager,unique); |
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211 | bdd_recursive_deref(manager,solE); |
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212 | result = bdd_add_apply_recur(manager,bdd_add_plus,solPT,solPE); |
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213 | if (result == NULL) { |
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214 | bdd_recursive_deref(manager,solPT); |
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215 | bdd_recursive_deref(manager,solPE); |
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216 | return NULL; |
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217 | } |
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218 | bdd_ref(result); |
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219 | bdd_recursive_deref(manager,solPE); |
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220 | bdd_recursive_deref(manager,solPT); |
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221 | st_insert(visited,(char *)tr,(char *)result); |
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222 | /* bdd_deref(result); */ |
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223 | return(result); |
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224 | } |
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225 | |
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226 | /* Split on a state variable, solve subproblems and combine by ite */ |
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227 | solT = MarkAddInProbRecur(manager,bdd_bdd_T(tr),cube, probTable,visited); |
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228 | if (solT == NULL) { |
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229 | return NULL; |
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230 | } |
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231 | bdd_ref(solT); |
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232 | solE = MarkAddInProbRecur(manager,bdd_bdd_E(tr),cube, |
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233 | probTable,visited); |
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234 | if (solE == NULL) { |
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235 | bdd_recursive_deref(manager,solT); |
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236 | return NULL; |
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237 | } |
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238 | bdd_ref(solE); |
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239 | result = bdd_unique_inter(manager,bdd_node_read_index(tr), |
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240 | solT,solE); |
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241 | if (result == NULL) { |
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242 | bdd_recursive_deref(manager,solT); |
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243 | bdd_recursive_deref(manager,solE); |
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244 | return NULL; |
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245 | } |
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246 | bdd_ref(result); |
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247 | bdd_recursive_deref(manager,solT); |
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248 | bdd_recursive_deref(manager,solE); |
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249 | st_insert(visited,(char *)tr,(char *)result); |
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250 | /* bdd_deref(result); */ |
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251 | return(result); |
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252 | |
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253 | } /* end of MarkAddInProbRecur */ |
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254 | |
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255 | |
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256 | /*---------------------------------------------------------------------------*/ |
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257 | /* Definition of static functions */ |
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258 | /*---------------------------------------------------------------------------*/ |
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259 | |
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