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