| [13] | 1 | /* BDD composition routines */ |
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| 2 | |
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| 3 | |
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| 4 | #include "bddint.h" |
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| 5 | |
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| 6 | |
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| 7 | static |
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| 8 | bdd |
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| 9 | bdd_restrict_step(cmu_bdd_manager bddm, bdd f, bdd_indexindex_type g_indexindex, bdd h, long op) |
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| 10 | { |
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| 11 | bdd temp1, temp2; |
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| 12 | bdd result; |
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| 13 | |
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| 14 | BDD_SETUP(f); |
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| 15 | if (BDD_INDEX(bddm, f) > bddm->indexes[g_indexindex]) |
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| 16 | { |
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| 17 | /* f doesn't depend on the variable g. */ |
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| 18 | BDD_TEMP_INCREFS(f); |
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| 19 | return (f); |
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| 20 | } |
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| 21 | if (BDD_INDEXINDEX(f) == g_indexindex) |
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| 22 | { |
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| 23 | /* Do the restriction. */ |
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| 24 | result=(h == BDD_ONE(bddm) ? BDD_THEN(f) : BDD_ELSE(f)); |
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| 25 | { |
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| 26 | BDD_SETUP(result); |
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| 27 | BDD_TEMP_INCREFS(result); |
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| 28 | return (result); |
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| 29 | } |
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| 30 | } |
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| 31 | if (bdd_lookup_in_cache2(bddm, op, BDD_OUTPOS(f), h, &result)) |
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| 32 | return (BDD_IS_OUTPOS(f) ? result : BDD_NOT(result)); |
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| 33 | temp1=bdd_restrict_step(bddm, BDD_THEN(f), g_indexindex, h, op); |
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| 34 | temp2=bdd_restrict_step(bddm, BDD_ELSE(f), g_indexindex, h, op); |
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| 35 | result=bdd_find(bddm, BDD_INDEXINDEX(f), temp1, temp2); |
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| 36 | if (BDD_IS_OUTPOS(f)) |
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| 37 | bdd_insert_in_cache2(bddm, op, f, h, result); |
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| 38 | else |
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| 39 | bdd_insert_in_cache2(bddm, op, BDD_NOT(f), h, BDD_NOT(result)); |
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| 40 | return (result); |
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| 41 | } |
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| 42 | |
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| 43 | |
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| 44 | static |
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| 45 | bdd |
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| 46 | cmu_bdd_compose_step(cmu_bdd_manager bddm, bdd f, bdd_indexindex_type g_indexindex, bdd h, long op) |
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| 47 | { |
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| 48 | bdd_indexindex_type top_indexindex; |
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| 49 | bdd f1, f2; |
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| 50 | bdd h1, h2; |
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| 51 | bdd temp1, temp2; |
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| 52 | bdd result; |
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| 53 | |
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| 54 | BDD_SETUP(f); |
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| 55 | BDD_SETUP(h); |
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| 56 | /* Use restriction if possible. */ |
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| 57 | if (BDD_IS_CONST(h)) |
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| 58 | return (bdd_restrict_step(bddm, f, g_indexindex, h, op)); |
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| 59 | if (BDD_INDEX(bddm, f) > bddm->indexes[g_indexindex]) |
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| 60 | { |
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| 61 | /* f doesn't depend on the variable g. */ |
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| 62 | BDD_TEMP_INCREFS(f); |
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| 63 | return (f); |
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| 64 | } |
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| 65 | if (bdd_lookup_in_cache2(bddm, op, BDD_OUTPOS(f), h, &result)) |
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| 66 | return (BDD_IS_OUTPOS(f) ? result : BDD_NOT(result)); |
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| 67 | if (BDD_INDEXINDEX(f) == g_indexindex) |
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| 68 | { |
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| 69 | /* Do the replacement. */ |
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| 70 | bddm->op_cache.cache_level++; |
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| 71 | result=cmu_bdd_ite_step(bddm, h, BDD_THEN(f), BDD_ELSE(f)); |
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| 72 | bddm->op_cache.cache_level--; |
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| 73 | } |
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| 74 | else |
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| 75 | { |
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| 76 | BDD_TOP_VAR2(top_indexindex, bddm, f, h); |
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| 77 | BDD_COFACTOR(top_indexindex, f, f1, f2); |
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| 78 | BDD_COFACTOR(top_indexindex, h, h1, h2); |
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| 79 | temp1=cmu_bdd_compose_step(bddm, f1, g_indexindex, h1, op); |
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| 80 | temp2=cmu_bdd_compose_step(bddm, f2, g_indexindex, h2, op); |
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| 81 | result=bdd_find(bddm, top_indexindex, temp1, temp2); |
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| 82 | } |
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| 83 | if (BDD_IS_OUTPOS(f)) |
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| 84 | bdd_insert_in_cache2(bddm, op, f, h, result); |
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| 85 | else |
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| 86 | bdd_insert_in_cache2(bddm, op, BDD_NOT(f), h, BDD_NOT(result)); |
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| 87 | return (result); |
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| 88 | } |
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| 89 | |
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| 90 | |
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| 91 | /* cmu_bdd_compose_temp is used internally by cmu_bdd_swap_vars. */ |
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| 92 | |
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| 93 | bdd |
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| 94 | cmu_bdd_compose_temp(cmu_bdd_manager bddm, bdd f, bdd g, bdd h) |
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| 95 | { |
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| 96 | BDD_SETUP(g); |
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| 97 | return (cmu_bdd_compose_step(bddm, f, BDD_INDEXINDEX(g), h, OP_COMP+BDD_INDEXINDEX(g))); |
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| 98 | } |
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| 99 | |
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| 100 | |
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| 101 | /* cmu_bdd_compose(bddm, f, g, h) returns the BDD for substituting h for */ |
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| 102 | /* the variable g in f. h may depend on g. */ |
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| 103 | |
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| 104 | bdd |
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| 105 | cmu_bdd_compose(cmu_bdd_manager bddm, bdd f, bdd g, bdd h) |
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| 106 | { |
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| 107 | if (bdd_check_arguments(3, f, g, h)) |
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| 108 | { |
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| 109 | BDD_SETUP(f); |
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| 110 | BDD_SETUP(g); |
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| 111 | if (cmu_bdd_type_aux(bddm, g) != BDD_TYPE_POSVAR) |
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| 112 | { |
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| 113 | cmu_bdd_warning("cmu_bdd_compose: second argument is not a positive variable"); |
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| 114 | BDD_INCREFS(f); |
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| 115 | return (f); |
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| 116 | } |
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| 117 | FIREWALL(bddm); |
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| 118 | RETURN_BDD(cmu_bdd_compose_step(bddm, f, BDD_INDEXINDEX(g), h, OP_COMP+BDD_INDEXINDEX(g))); |
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| 119 | } |
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| 120 | return ((bdd)0); |
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| 121 | } |
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| 122 | |
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| 123 | |
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| 124 | bdd |
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| 125 | cmu_bdd_substitute_step(cmu_bdd_manager bddm, bdd f, long op, bdd (*ite_fn)(cmu_bdd_manager, bdd, bdd, bdd), var_assoc subst) |
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| 126 | { |
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| 127 | bdd g; |
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| 128 | bdd temp1, temp2; |
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| 129 | bdd result; |
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| 130 | bdd_index_type g_index; |
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| 131 | |
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| 132 | BDD_SETUP(f); |
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| 133 | if ((long)BDD_INDEX(bddm, f) > subst->last) |
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| 134 | { |
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| 135 | BDD_TEMP_INCREFS(f); |
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| 136 | return (f); |
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| 137 | } |
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| 138 | if (bdd_lookup_in_cache1(bddm, op, BDD_OUTPOS(f), &result)) |
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| 139 | return (BDD_IS_OUTPOS(f) ? result : BDD_NOT(result)); |
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| 140 | g=subst->assoc[BDD_INDEXINDEX(f)]; |
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| 141 | /* See if we are substituting a constant at this level. */ |
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| 142 | if (g == BDD_ONE(bddm)) |
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| 143 | return (cmu_bdd_substitute_step(bddm, BDD_THEN(f), op, ite_fn, subst)); |
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| 144 | if (g == BDD_ZERO(bddm)) |
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| 145 | return (cmu_bdd_substitute_step(bddm, BDD_ELSE(f), op, ite_fn, subst)); |
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| 146 | temp1=cmu_bdd_substitute_step(bddm, BDD_THEN(f), op, ite_fn, subst); |
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| 147 | temp2=cmu_bdd_substitute_step(bddm, BDD_ELSE(f), op, ite_fn, subst); |
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| 148 | if (!g) |
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| 149 | g=BDD_IF(bddm, f); |
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| 150 | { |
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| 151 | BDD_SETUP(g); |
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| 152 | BDD_SETUP(temp1); |
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| 153 | BDD_SETUP(temp2); |
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| 154 | if (g == BDD_IF(bddm, g) && |
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| 155 | (g_index=BDD_INDEX(bddm, g)) < BDD_INDEX(bddm, temp1) && |
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| 156 | g_index < BDD_INDEX(bddm, temp2)) |
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| 157 | /* Substituting with variable above the tops of the subresults. */ |
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| 158 | result=bdd_find(bddm, BDD_INDEXINDEX(g), temp1, temp2); |
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| 159 | else |
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| 160 | { |
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| 161 | /* Do an ITE. */ |
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| 162 | bddm->op_cache.cache_level++; |
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| 163 | result=(*ite_fn)(bddm, g, temp1, temp2); |
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| 164 | BDD_TEMP_DECREFS(temp1); |
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| 165 | BDD_TEMP_DECREFS(temp2); |
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| 166 | bddm->op_cache.cache_level--; |
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| 167 | } |
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| 168 | } |
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| 169 | if (BDD_IS_OUTPOS(f)) |
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| 170 | bdd_insert_in_cache1(bddm, op, f, result); |
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| 171 | else |
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| 172 | bdd_insert_in_cache1(bddm, op, BDD_NOT(f), BDD_NOT(result)); |
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| 173 | return (result); |
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| 174 | } |
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| 175 | |
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| 176 | |
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| 177 | /* cmu_bdd_substitute(bddm, f) returns the BDD for substituting in f */ |
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| 178 | /* according to the current variable association. */ |
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| 179 | |
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| 180 | bdd |
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| 181 | cmu_bdd_substitute(cmu_bdd_manager bddm, bdd f) |
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| 182 | { |
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| 183 | long op; |
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| 184 | |
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| 185 | if (bdd_check_arguments(1, f)) |
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| 186 | { |
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| 187 | FIREWALL(bddm); |
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| 188 | if (bddm->curr_assoc_id == -1) |
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| 189 | op=bddm->temp_op--; |
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| 190 | else |
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| 191 | op=OP_SUBST+bddm->curr_assoc_id; |
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| 192 | RETURN_BDD(cmu_bdd_substitute_step(bddm, f, op, cmu_bdd_ite_step, bddm->curr_assoc)); |
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| 193 | } |
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| 194 | return ((bdd)0); |
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| 195 | } |
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