| 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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