| [14] | 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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