[13] | 1 | /* BDD reduce 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 | cmu_bdd_reduce_step(cmu_bdd_manager bddm, bdd f, bdd c) |
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| 10 | { |
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| 11 | bdd_indexindex_type top_indexindex; |
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| 12 | bdd f1, f2; |
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| 13 | bdd c1, c2; |
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| 14 | bdd temp1, temp2; |
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| 15 | bdd result; |
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| 16 | |
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| 17 | BDD_SETUP(f); |
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| 18 | BDD_SETUP(c); |
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| 19 | if (BDD_IS_CONST(c)) |
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| 20 | { |
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| 21 | if (c == BDD_ZERO(bddm)) |
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| 22 | return ((bdd)0); |
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| 23 | BDD_TEMP_INCREFS(f); |
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| 24 | return (f); |
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| 25 | } |
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| 26 | if (BDD_IS_CONST(f)) |
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| 27 | return (f); |
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| 28 | if (bdd_lookup_in_cache2(bddm, OP_RED, f, c, &result)) |
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| 29 | return (result); |
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| 30 | BDD_TOP_VAR2(top_indexindex, bddm, f, c); |
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| 31 | BDD_COFACTOR(top_indexindex, f, f1, f2); |
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| 32 | BDD_COFACTOR(top_indexindex, c, c1, c2); |
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| 33 | if (f == f1) |
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| 34 | { |
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| 35 | bddm->op_cache.cache_level++; |
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| 36 | temp1=cmu_bdd_ite_step(bddm, c1, BDD_ONE(bddm), c2); |
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| 37 | bddm->op_cache.cache_level--; |
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| 38 | result=cmu_bdd_reduce_step(bddm, f, temp1); |
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| 39 | { |
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| 40 | BDD_SETUP(temp1); |
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| 41 | BDD_TEMP_DECREFS(temp1); |
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| 42 | } |
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| 43 | } |
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| 44 | else |
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| 45 | { |
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| 46 | temp1=cmu_bdd_reduce_step(bddm, f1, c1); |
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| 47 | temp2=cmu_bdd_reduce_step(bddm, f2, c2); |
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| 48 | if (!temp1) |
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| 49 | result=temp2; |
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| 50 | else if (!temp2) |
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| 51 | result=temp1; |
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| 52 | else |
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| 53 | result=bdd_find(bddm, top_indexindex, temp1, temp2); |
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| 54 | } |
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| 55 | bdd_insert_in_cache2(bddm, OP_RED, f, c, result); |
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| 56 | return (result); |
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| 57 | } |
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| 58 | |
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| 59 | |
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| 60 | /* cmu_bdd_reduce(bddm, f, c) returns a BDD which agrees with f for all */ |
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| 61 | /* valuations for which c is true, and which is hopefully smaller than */ |
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| 62 | /* f. */ |
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| 63 | |
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| 64 | bdd |
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| 65 | cmu_bdd_reduce(cmu_bdd_manager bddm, bdd f, bdd c) |
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| 66 | { |
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| 67 | bdd result; |
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| 68 | |
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| 69 | if (bdd_check_arguments(2, f, c)) |
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| 70 | { |
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| 71 | FIREWALL(bddm); |
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| 72 | result=cmu_bdd_reduce_step(bddm, f, c); |
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| 73 | if (!result) |
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| 74 | return (BDD_ZERO(bddm)); |
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| 75 | RETURN_BDD(result); |
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| 76 | } |
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| 77 | return ((bdd)0); |
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| 78 | } |
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| 79 | |
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| 80 | |
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| 81 | static |
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| 82 | bdd |
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| 83 | cmu_bdd_cofactor_step(cmu_bdd_manager bddm, bdd f, bdd c) |
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| 84 | { |
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| 85 | bdd_indexindex_type top_indexindex; |
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| 86 | bdd f1, f2; |
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| 87 | bdd c1, c2; |
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| 88 | bdd temp1, temp2; |
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| 89 | bdd result; |
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| 90 | |
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| 91 | BDD_SETUP(f); |
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| 92 | BDD_SETUP(c); |
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| 93 | if (BDD_IS_CONST(c)) |
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| 94 | { |
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| 95 | if (c == BDD_ZERO(bddm)) |
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| 96 | return ((bdd)0); |
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| 97 | BDD_TEMP_INCREFS(f); |
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| 98 | return (f); |
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| 99 | } |
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| 100 | if (BDD_IS_CONST(f)) |
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| 101 | return (f); |
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| 102 | if (bdd_lookup_in_cache2(bddm, OP_COFACTOR, f, c, &result)) |
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| 103 | return (result); |
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| 104 | BDD_TOP_VAR2(top_indexindex, bddm, f, c); |
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| 105 | BDD_COFACTOR(top_indexindex, f, f1, f2); |
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| 106 | BDD_COFACTOR(top_indexindex, c, c1, c2); |
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| 107 | temp1=cmu_bdd_cofactor_step(bddm, f1, c1); |
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| 108 | temp2=cmu_bdd_cofactor_step(bddm, f2, c2); |
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| 109 | if (!temp1) |
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| 110 | result=temp2; |
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| 111 | else if (!temp2) |
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| 112 | result=temp1; |
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| 113 | else |
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| 114 | result=bdd_find(bddm, top_indexindex, temp1, temp2); |
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| 115 | bdd_insert_in_cache2(bddm, OP_COFACTOR, f, c, result); |
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| 116 | return (result); |
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| 117 | } |
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| 118 | |
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| 119 | |
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| 120 | /* cmu_bdd_cofactor(bddm, f, c) returns a BDD for the generalized cofactor */ |
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| 121 | /* of f by c. This operation has the useful property that if */ |
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| 122 | /* [f1, ..., fn] is a function vector and fi|c denotes the g.c. of fi */ |
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| 123 | /* by c, then the image of [f1|c, ..., fn|c] over all valuations is */ |
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| 124 | /* the same as the image of [f1, ..., fn] over the valuations for */ |
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| 125 | /* which c is true. */ |
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| 126 | |
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| 127 | bdd |
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| 128 | cmu_bdd_cofactor(cmu_bdd_manager bddm, bdd f, bdd c) |
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| 129 | { |
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| 130 | if (bdd_check_arguments(2, f, c)) |
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| 131 | { |
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| 132 | if (c == BDD_ZERO(bddm)) |
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| 133 | { |
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| 134 | cmu_bdd_warning("cmu_bdd_cofactor: second argument is false"); |
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| 135 | return (BDD_ONE(bddm)); |
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| 136 | } |
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| 137 | FIREWALL(bddm); |
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| 138 | RETURN_BDD(cmu_bdd_cofactor_step(bddm, f, c)); |
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| 139 | } |
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| 140 | return ((bdd)0); |
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| 141 | } |
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