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Unified Diff: test/cctest/test-types.cc

Issue 226523004: Reland "More tests for Union & Intersect" (Closed) Base URL: https://v8.googlecode.com/svn/branches/bleeding_edge
Patch Set: Created 6 years, 8 months ago
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Index: test/cctest/test-types.cc
diff --git a/test/cctest/test-types.cc b/test/cctest/test-types.cc
index 1526b847dd05f99dbd2dab422e62880c817c61f3..ea7c73e322a0a7e1323d5e9b69271af9f448c3df 100644
--- a/test/cctest/test-types.cc
+++ b/test/cctest/test-types.cc
@@ -33,13 +33,69 @@
using namespace v8::internal;
+// Testing auxiliaries (breaking the Type abstraction).
+struct ZoneRep {
+ typedef void* Struct;
+
+ static bool IsStruct(Type* t, int tag) {
+ return !IsBitset(t) && reinterpret_cast<intptr_t>(AsStruct(t)[0]) == tag;
+ }
+ static bool IsBitset(Type* t) { return reinterpret_cast<intptr_t>(t) & 1; }
+ static bool IsClass(Type* t) { return IsStruct(t, 0); }
+ static bool IsConstant(Type* t) { return IsStruct(t, 1); }
+ static bool IsUnion(Type* t) { return IsStruct(t, 2); }
+
+ static Struct* AsStruct(Type* t) {
+ return reinterpret_cast<Struct*>(t);
+ }
+ static int AsBitset(Type* t) {
+ return static_cast<int>(reinterpret_cast<intptr_t>(t) >> 1);
+ }
+ static Map* AsClass(Type* t) {
+ return *static_cast<Map**>(AsStruct(t)[3]);
+ }
+ static Object* AsConstant(Type* t) {
+ return *static_cast<Object**>(AsStruct(t)[3]);
+ }
+ static Struct* AsUnion(Type* t) {
+ return AsStruct(t);
+ }
+ static int Length(Struct* structured) {
+ return static_cast<int>(reinterpret_cast<intptr_t>(structured[1]));
+ }
+
+ static Zone* ToRegion(Zone* zone, Isolate* isolate) { return zone; }
+};
+
+
+struct HeapRep {
+ typedef FixedArray Struct;
+
+ static bool IsStruct(Handle<HeapType> t, int tag) {
+ return t->IsFixedArray() && Smi::cast(AsStruct(t)->get(0))->value() == tag;
+ }
+ static bool IsBitset(Handle<HeapType> t) { return t->IsSmi(); }
+ static bool IsClass(Handle<HeapType> t) { return t->IsMap(); }
+ static bool IsConstant(Handle<HeapType> t) { return t->IsBox(); }
+ static bool IsUnion(Handle<HeapType> t) { return IsStruct(t, 2); }
+
+ static Struct* AsStruct(Handle<HeapType> t) { return FixedArray::cast(*t); }
+ static int AsBitset(Handle<HeapType> t) { return Smi::cast(*t)->value(); }
+ static Map* AsClass(Handle<HeapType> t) { return Map::cast(*t); }
+ static Object* AsConstant(Handle<HeapType> t) {
+ return Box::cast(*t)->value();
+ }
+ static Struct* AsUnion(Handle<HeapType> t) { return AsStruct(t); }
+ static int Length(Struct* structured) { return structured->length() - 1; }
+
+ static Isolate* ToRegion(Zone* zone, Isolate* isolate) { return isolate; }
+};
+
+
template<class Type, class TypeHandle, class Region>
class Types {
public:
Types(Region* region, Isolate* isolate) : region_(region) {
- static const size_t kMaxTypes = 300;
- types.reserve(kMaxTypes);
-
#define DECLARE_TYPE(name, value) \
name = Type::name(region); \
types.push_back(name);
@@ -83,15 +139,11 @@ class Types {
types.push_back(Type::Constant(*it, region));
}
- while (types.size() < kMaxTypes) {
- size_t i = rng.NextInt(static_cast<int>(types.size()));
- size_t j = rng.NextInt(static_cast<int>(types.size()));
- if (i != j) types.push_back(Type::Union(types[i], types[j], region));
+ for (int i = 0; i < 100; ++i) {
+ types.push_back(Fuzz());
}
}
- RandomNumberGenerator rng;
-
#define DECLARE_TYPE(name, value) TypeHandle name;
BITSET_TYPE_LIST(DECLARE_TYPE)
#undef DECLARE_TYPE
@@ -153,67 +205,44 @@ class Types {
return Type::template Convert<Type2>(t, region_);
}
- private:
- Region* region_;
-};
-
-
-// Testing auxiliaries (breaking the Type abstraction).
-struct ZoneRep {
- typedef void* Struct;
-
- static bool IsStruct(Type* t, int tag) {
- return !IsBitset(t) && reinterpret_cast<intptr_t>(AsStruct(t)[0]) == tag;
- }
- static bool IsBitset(Type* t) { return reinterpret_cast<intptr_t>(t) & 1; }
- static bool IsClass(Type* t) { return IsStruct(t, 0); }
- static bool IsConstant(Type* t) { return IsStruct(t, 1); }
- static bool IsUnion(Type* t) { return IsStruct(t, 2); }
-
- static Struct* AsStruct(Type* t) {
- return reinterpret_cast<Struct*>(t);
- }
- static int AsBitset(Type* t) {
- return static_cast<int>(reinterpret_cast<intptr_t>(t) >> 1);
- }
- static Map* AsClass(Type* t) {
- return *static_cast<Map**>(AsStruct(t)[3]);
- }
- static Object* AsConstant(Type* t) {
- return *static_cast<Object**>(AsStruct(t)[3]);
- }
- static Struct* AsUnion(Type* t) {
- return AsStruct(t);
- }
- static int Length(Struct* structured) {
- return static_cast<int>(reinterpret_cast<intptr_t>(structured[1]));
- }
-
- static Zone* ToRegion(Zone* zone, Isolate* isolate) { return zone; }
-};
-
-
-struct HeapRep {
- typedef FixedArray Struct;
-
- static bool IsStruct(Handle<HeapType> t, int tag) {
- return t->IsFixedArray() && Smi::cast(AsStruct(t)->get(0))->value() == tag;
- }
- static bool IsBitset(Handle<HeapType> t) { return t->IsSmi(); }
- static bool IsClass(Handle<HeapType> t) { return t->IsMap(); }
- static bool IsConstant(Handle<HeapType> t) { return t->IsBox(); }
- static bool IsUnion(Handle<HeapType> t) { return IsStruct(t, 2); }
-
- static Struct* AsStruct(Handle<HeapType> t) { return FixedArray::cast(*t); }
- static int AsBitset(Handle<HeapType> t) { return Smi::cast(*t)->value(); }
- static Map* AsClass(Handle<HeapType> t) { return Map::cast(*t); }
- static Object* AsConstant(Handle<HeapType> t) {
- return Box::cast(*t)->value();
+ TypeHandle Fuzz(int depth = 5) {
+ switch (rng_.NextInt(depth == 0 ? 3 : 20)) {
+ case 0: { // bitset
+ int n = 0
+ #define COUNT_BITSET_TYPES(type, value) + 1
+ BITSET_TYPE_LIST(COUNT_BITSET_TYPES)
+ #undef COUNT_BITSET_TYPES
+ ;
+ int i = rng_.NextInt(n);
+ #define PICK_BITSET_TYPE(type, value) \
+ if (i-- == 0) return Type::type(region_);
+ BITSET_TYPE_LIST(PICK_BITSET_TYPE)
+ #undef PICK_BITSET_TYPE
+ UNREACHABLE();
+ }
+ case 1: { // class
+ int i = rng_.NextInt(static_cast<int>(maps.size()));
+ return Type::Class(maps[i], region_);
+ }
+ case 2: { // constant
+ int i = rng_.NextInt(static_cast<int>(values.size()));
+ return Type::Constant(values[i], region_);
+ }
+ default: { // union
+ int n = rng_.NextInt(10);
+ TypeHandle type = None;
+ for (int i = 0; i < n; ++i) {
+ type = Type::Union(type, Fuzz(depth - 1), region_);
+ }
+ return type;
+ }
+ }
+ UNREACHABLE();
}
- static Struct* AsUnion(Handle<HeapType> t) { return AsStruct(t); }
- static int Length(Struct* structured) { return structured->length() - 1; }
- static Isolate* ToRegion(Zone* zone, Isolate* isolate) { return isolate; }
+ private:
+ Region* region_;
+ RandomNumberGenerator rng_;
};
@@ -236,25 +265,27 @@ struct Tests : Rep {
T(Rep::ToRegion(&zone, isolate), isolate) {
}
+ bool Equal(TypeHandle type1, TypeHandle type2) {
+ return
+ type1->Is(type2) && type2->Is(type1) &&
+ Rep::IsBitset(type1) == Rep::IsBitset(type2) &&
+ Rep::IsClass(type1) == Rep::IsClass(type2) &&
+ Rep::IsConstant(type1) == Rep::IsConstant(type2) &&
+ Rep::IsUnion(type1) == Rep::IsUnion(type2) &&
+ type1->NumClasses() == type2->NumClasses() &&
+ type1->NumConstants() == type2->NumConstants() &&
+ (!Rep::IsBitset(type1) ||
+ Rep::AsBitset(type1) == Rep::AsBitset(type2)) &&
+ (!Rep::IsClass(type1) ||
+ Rep::AsClass(type1) == Rep::AsClass(type2)) &&
+ (!Rep::IsConstant(type1) ||
+ Rep::AsConstant(type1) == Rep::AsConstant(type2)) &&
+ (!Rep::IsUnion(type1) ||
+ Rep::Length(Rep::AsUnion(type1)) == Rep::Length(Rep::AsUnion(type2)));
+ }
+
void CheckEqual(TypeHandle type1, TypeHandle type2) {
- CHECK_EQ(Rep::IsBitset(type1), Rep::IsBitset(type2));
- CHECK_EQ(Rep::IsClass(type1), Rep::IsClass(type2));
- CHECK_EQ(Rep::IsConstant(type1), Rep::IsConstant(type2));
- CHECK_EQ(Rep::IsUnion(type1), Rep::IsUnion(type2));
- CHECK_EQ(type1->NumClasses(), type2->NumClasses());
- CHECK_EQ(type1->NumConstants(), type2->NumConstants());
- if (Rep::IsBitset(type1)) {
- CHECK_EQ(Rep::AsBitset(type1), Rep::AsBitset(type2));
- } else if (Rep::IsClass(type1)) {
- CHECK_EQ(Rep::AsClass(type1), Rep::AsClass(type2));
- } else if (Rep::IsConstant(type1)) {
- CHECK_EQ(Rep::AsConstant(type1), Rep::AsConstant(type2));
- } else if (Rep::IsUnion(type1)) {
- CHECK_EQ(
- Rep::Length(Rep::AsUnion(type1)), Rep::Length(Rep::AsUnion(type2)));
- }
- CHECK(type1->Is(type2));
- CHECK(type2->Is(type1));
+ CHECK(Equal(type1, type2));
}
void CheckSub(TypeHandle type1, TypeHandle type2) {
@@ -301,7 +332,7 @@ struct Tests : Rep {
CHECK_EQ(0, this->AsBitset(T.None));
CHECK_EQ(-1, this->AsBitset(T.Any));
- // Union(T1, T2) is a bitset for all bitsets T1,T2
+ // Union(T1, T2) is bitset for bitsets T1,T2
for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
TypeHandle type1 = *it1;
@@ -311,20 +342,17 @@ struct Tests : Rep {
}
}
- // Union(T1, T2) is a bitset if T2 is a bitset and T1->Is(T2)
- // (and vice versa).
+ // Union(T1, T2) is bitset if T2 is bitset and T1->Is(T2)
for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
TypeHandle type1 = *it1;
TypeHandle type2 = *it2;
CHECK(!(this->IsBitset(type2) && type1->Is(type2)) ||
this->IsBitset(T.Union(type1, type2)));
- CHECK(!(this->IsBitset(type1) && type2->Is(type1)) ||
- this->IsBitset(T.Union(type1, type2)));
}
}
- // Union(T1, T2) is bitwise disjunction for all bitsets T1,T2
+ // Union(T1, T2) is bitwise disjunction for bitsets T1,T2
for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
TypeHandle type1 = *it1;
@@ -337,7 +365,7 @@ struct Tests : Rep {
}
}
- // Intersect(T1, T2) is bitwise conjunction for all bitsets T1,T2
+ // Intersect(T1, T2) is bitwise conjunction for bitsets T1,T2
for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
TypeHandle type1 = *it1;
@@ -364,12 +392,12 @@ struct Tests : Rep {
CHECK(*map == *T.Class(map)->AsClass());
}
- // Functionality & Injectivity
+ // Functionality & Injectivity: Class(M1) = Class(M2) iff M1 = M2
for (MapIterator mt1 = T.maps.begin(); mt1 != T.maps.end(); ++mt1) {
for (MapIterator mt2 = T.maps.begin(); mt2 != T.maps.end(); ++mt2) {
Handle<i::Map> map1 = *mt1;
Handle<i::Map> map2 = *mt2;
- CHECK(T.Class(map1)->Is(T.Class(map2)) == (*map1 == *map2));
+ CHECK(Equal(T.Class(map1), T.Class(map2)) == (*map1 == *map2));
}
}
}
@@ -387,100 +415,100 @@ struct Tests : Rep {
CHECK(*value == *T.Constant(value)->AsConstant());
}
- // Functionality & Injectivity
+ // Functionality & Injectivity: Constant(V1) = Constant(v2) iff V1 = V2
for (ValueIterator vt1 = T.values.begin(); vt1 != T.values.end(); ++vt1) {
for (ValueIterator vt2 = T.values.begin(); vt2 != T.values.end(); ++vt2) {
Handle<i::Object> val1 = *vt1;
Handle<i::Object> val2 = *vt2;
- CHECK(T.Constant(val1)->Is(T.Constant(val2)) == (*val1 == *val2));
+ CHECK(Equal(T.Constant(val1), T.Constant(val2)) == (*val1 == *val2));
}
}
}
void Of() {
- // Constant(V)->Is(Of(V)) for all V
+ // Constant(V)->Is(Of(V))
for (ValueIterator vt = T.values.begin(); vt != T.values.end(); ++vt) {
Handle<i::Object> value = *vt;
CHECK(T.Constant(value)->Is(T.Of(value)));
}
- // Constant(V)->Is(T) implies Of(V)->Is(T) or T->Maybe(Constant(V))
+ // Constant(V)->Is(T) iff Of(V)->Is(T) or T->Maybe(Constant(V))
for (ValueIterator vt = T.values.begin(); vt != T.values.end(); ++vt) {
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
Handle<i::Object> value = *vt;
TypeHandle type = *it;
- CHECK(!T.Constant(value)->Is(type) ||
- T.Of(value)->Is(type) || type->Maybe(T.Constant(value)));
+ CHECK(T.Constant(value)->Is(type) ==
+ (T.Of(value)->Is(type) || type->Maybe(T.Constant(value))));
}
}
}
void NowOf() {
- // Constant(V)->NowIs(NowOf(V)) for all V
+ // Constant(V)->NowIs(NowOf(V))
for (ValueIterator vt = T.values.begin(); vt != T.values.end(); ++vt) {
Handle<i::Object> value = *vt;
CHECK(T.Constant(value)->NowIs(T.NowOf(value)));
}
- // NowOf(V)->Is(Of(V)) for all V
+ // NowOf(V)->Is(Of(V))
for (ValueIterator vt = T.values.begin(); vt != T.values.end(); ++vt) {
Handle<i::Object> value = *vt;
CHECK(T.NowOf(value)->Is(T.Of(value)));
}
- // Constant(V)->Is(T) implies NowOf(V)->Is(T) or T->Maybe(Constant(V))
+ // Constant(V)->NowIs(T) iff NowOf(V)->NowIs(T) or T->Maybe(Constant(V))
for (ValueIterator vt = T.values.begin(); vt != T.values.end(); ++vt) {
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
Handle<i::Object> value = *vt;
TypeHandle type = *it;
- CHECK(!T.Constant(value)->Is(type) ||
- T.NowOf(value)->Is(type) || type->Maybe(T.Constant(value)));
+ CHECK(T.Constant(value)->NowIs(type) ==
+ (T.NowOf(value)->NowIs(type) || type->Maybe(T.Constant(value))));
}
}
- // Constant(V)->NowIs(T) implies NowOf(V)->NowIs(T) or T->Maybe(Constant(V))
+ // Constant(V)->Is(T) implies NowOf(V)->Is(T) or T->Maybe(Constant(V))
for (ValueIterator vt = T.values.begin(); vt != T.values.end(); ++vt) {
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
Handle<i::Object> value = *vt;
TypeHandle type = *it;
- CHECK(!T.Constant(value)->NowIs(type) ||
- T.NowOf(value)->NowIs(type) || type->Maybe(T.Constant(value)));
+ CHECK(!T.Constant(value)->Is(type) ||
+ (T.NowOf(value)->Is(type) || type->Maybe(T.Constant(value))));
}
}
}
void Is() {
- // T->Is(None) implies T = None for all T
+ // Least Element (Bottom): None->Is(T)
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
TypeHandle type = *it;
- if (type->Is(T.None)) CheckEqual(type, T.None);
+ CHECK(T.None->Is(type));
}
- // None->Is(T) for all T
+ // Greatest Element (Top): T->Is(Any)
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
TypeHandle type = *it;
- CHECK(T.None->Is(type));
+ CHECK(type->Is(T.Any));
}
- // Any->Is(T) implies T = Any for all T
+ // Bottom Uniqueness: T->Is(None) implies T = None
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
TypeHandle type = *it;
- if (T.Any->Is(type)) CheckEqual(type, T.Any);
+ if (type->Is(T.None)) CheckEqual(type, T.None);
}
- // T->Is(Any) for all T
+ // Top Uniqueness: Any->Is(T) implies T = Any
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
TypeHandle type = *it;
- CHECK(type->Is(T.Any));
+ if (T.Any->Is(type)) CheckEqual(type, T.Any);
}
- // Reflexivity
+ // Reflexivity: T->Is(T)
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
TypeHandle type = *it;
CHECK(type->Is(type));
}
- // Transitivity
+ // Transitivity: T1->Is(T2) and T2->Is(T3) implies T1->Is(T3)
for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
for (TypeIterator it3 = T.types.begin(); it3 != T.types.end(); ++it3) {
@@ -492,6 +520,15 @@ struct Tests : Rep {
}
}
+ // Antisymmetry: T1->Is(T2) and T2->Is(T1) iff T1 = T2
+ for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
+ for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
+ TypeHandle type1 = *it1;
+ TypeHandle type2 = *it2;
+ CHECK((type1->Is(type2) && type2->Is(type1)) == Equal(type1, type2));
+ }
+ }
+
// Constant(V1)->Is(Constant(V2)) iff V1 = V2
for (ValueIterator vt1 = T.values.begin(); vt1 != T.values.end(); ++vt1) {
for (ValueIterator vt2 = T.values.begin(); vt2 != T.values.end(); ++vt2) {
@@ -510,7 +547,7 @@ struct Tests : Rep {
}
}
- // Constant(V)->Is(Class(M)) for no V,M
+ // Constant(V)->Is(Class(M)) never
for (MapIterator mt = T.maps.begin(); mt != T.maps.end(); ++mt) {
for (ValueIterator vt = T.values.begin(); vt != T.values.end(); ++vt) {
Handle<i::Map> map = *mt;
@@ -519,7 +556,7 @@ struct Tests : Rep {
}
}
- // Class(M)->Is(Constant(V)) for no V,M
+ // Class(M)->Is(Constant(V)) never
for (MapIterator mt = T.maps.begin(); mt != T.maps.end(); ++mt) {
for (ValueIterator vt = T.values.begin(); vt != T.values.end(); ++vt) {
Handle<i::Map> map = *mt;
@@ -558,17 +595,13 @@ struct Tests : Rep {
CheckUnordered(T.Object, T.Proxy);
CheckUnordered(T.Array, T.Function);
- CheckSub(T.UninitializedClass, T.Internal);
- CheckSub(T.UninitializedConstant, T.Internal);
- CheckUnordered(T.UninitializedClass, T.Null);
- CheckUnordered(T.UninitializedClass, T.Undefined);
- CheckUnordered(T.UninitializedConstant, T.Null);
- CheckUnordered(T.UninitializedConstant, T.Undefined);
-
// Structural types
CheckSub(T.ObjectClass, T.Object);
CheckSub(T.ArrayClass, T.Object);
+ CheckSub(T.UninitializedClass, T.Internal);
CheckUnordered(T.ObjectClass, T.ArrayClass);
+ CheckUnordered(T.UninitializedClass, T.Null);
+ CheckUnordered(T.UninitializedClass, T.Undefined);
CheckSub(T.SmiConstant, T.SignedSmall);
CheckSub(T.SmiConstant, T.Signed32);
@@ -577,8 +610,11 @@ struct Tests : Rep {
CheckSub(T.ObjectConstant2, T.Object);
CheckSub(T.ArrayConstant, T.Object);
CheckSub(T.ArrayConstant, T.Array);
+ CheckSub(T.UninitializedConstant, T.Internal);
CheckUnordered(T.ObjectConstant1, T.ObjectConstant2);
CheckUnordered(T.ObjectConstant1, T.ArrayConstant);
+ CheckUnordered(T.UninitializedConstant, T.Null);
+ CheckUnordered(T.UninitializedConstant, T.Undefined);
CheckUnordered(T.ObjectConstant1, T.ObjectClass);
CheckUnordered(T.ObjectConstant2, T.ObjectClass);
@@ -588,51 +624,60 @@ struct Tests : Rep {
}
void NowIs() {
- // T->NowIs(None) implies T = None for all T
+ // Least Element (Bottom): None->NowIs(T)
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
TypeHandle type = *it;
- if (type->NowIs(T.None)) CheckEqual(type, T.None);
+ CHECK(T.None->NowIs(type));
}
- // None->NowIs(T) for all T
+ // Greatest Element (Top): T->NowIs(Any)
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
TypeHandle type = *it;
- CHECK(T.None->NowIs(type));
+ CHECK(type->NowIs(T.Any));
}
- // Any->NowIs(T) implies T = Any for all T
+ // Bottom Uniqueness: T->NowIs(None) implies T = None
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
TypeHandle type = *it;
- if (T.Any->NowIs(type)) CheckEqual(type, T.Any);
+ if (type->NowIs(T.None)) CheckEqual(type, T.None);
}
- // T->NowIs(Any) for all T
+ // Top Uniqueness: Any->NowIs(T) implies T = Any
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
TypeHandle type = *it;
- CHECK(type->NowIs(T.Any));
+ if (T.Any->NowIs(type)) CheckEqual(type, T.Any);
}
- // Reflexivity
+ // Reflexivity: T->NowIs(T)
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
TypeHandle type = *it;
CHECK(type->NowIs(type));
}
- // Transitivity
+ // Transitivity: T1->NowIs(T2) and T2->NowIs(T3) implies T1->NowIs(T3)
for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
for (TypeIterator it3 = T.types.begin(); it3 != T.types.end(); ++it3) {
TypeHandle type1 = *it1;
TypeHandle type2 = *it2;
TypeHandle type3 = *it3;
- CHECK(!type1->NowIs(type2) ||
- !type2->NowIs(type3) ||
+ CHECK(!(type1->NowIs(type2) && type2->NowIs(type3)) ||
type1->NowIs(type3));
}
}
}
- // T1->Is(T2) implies T1->NowIs(T2) for all T1,T2
+ // Antisymmetry: T1->NowIs(T2) and T2->NowIs(T1) iff T1 = T2
+ for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
+ for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
+ TypeHandle type1 = *it1;
+ TypeHandle type2 = *it2;
+ CHECK((type1->NowIs(type2) && type2->NowIs(type1)) ==
+ Equal(type1, type2));
+ }
+ }
+
+ // T1->Is(T2) implies T1->NowIs(T2)
for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
TypeHandle type1 = *it1;
@@ -670,7 +715,7 @@ struct Tests : Rep {
}
}
- // Class(M)->NowIs(Constant(V)) for no V,M
+ // Class(M)->NowIs(Constant(V)) never
for (MapIterator mt = T.maps.begin(); mt != T.maps.end(); ++mt) {
for (ValueIterator vt = T.values.begin(); vt != T.values.end(); ++vt) {
Handle<i::Map> map = *mt;
@@ -681,7 +726,7 @@ struct Tests : Rep {
}
void Contains() {
- // T->Contains(V) iff Constant(V)->Is(T) for all T,V
+ // T->Contains(V) iff Constant(V)->Is(T)
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
for (ValueIterator vt = T.values.begin(); vt != T.values.end(); ++vt) {
TypeHandle type = *it;
@@ -690,7 +735,7 @@ struct Tests : Rep {
}
}
- // Of(V)->Is(T) implies T->Contains(V) for all T,V
+ // Of(V)->Is(T) implies T->Contains(V)
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
for (ValueIterator vt = T.values.begin(); vt != T.values.end(); ++vt) {
TypeHandle type = *it;
@@ -701,7 +746,7 @@ struct Tests : Rep {
}
void NowContains() {
- // T->NowContains(V) iff Constant(V)->NowIs(T) for all T,V
+ // T->NowContains(V) iff Constant(V)->NowIs(T)
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
for (ValueIterator vt = T.values.begin(); vt != T.values.end(); ++vt) {
TypeHandle type = *it;
@@ -710,7 +755,7 @@ struct Tests : Rep {
}
}
- // T->Contains(V) implies T->NowContains(V) for all T,V
+ // T->Contains(V) implies T->NowContains(V)
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
for (ValueIterator vt = T.values.begin(); vt != T.values.end(); ++vt) {
TypeHandle type = *it;
@@ -719,7 +764,7 @@ struct Tests : Rep {
}
}
- // NowOf(V)->Is(T) implies T->NowContains(V) for all T,V
+ // NowOf(V)->Is(T) implies T->NowContains(V)
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
for (ValueIterator vt = T.values.begin(); vt != T.values.end(); ++vt) {
TypeHandle type = *it;
@@ -728,7 +773,7 @@ struct Tests : Rep {
}
}
- // NowOf(V)->NowIs(T) implies T->NowContains(V) for all T,V
+ // NowOf(V)->NowIs(T) implies T->NowContains(V)
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
for (ValueIterator vt = T.values.begin(); vt != T.values.end(); ++vt) {
TypeHandle type = *it;
@@ -739,12 +784,6 @@ struct Tests : Rep {
}
void Maybe() {
- // T->Maybe(T) iff T inhabited
- for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
- TypeHandle type = *it;
- CHECK(type->Maybe(type) == type->IsInhabited());
- }
-
// T->Maybe(Any) iff T inhabited
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
TypeHandle type = *it;
@@ -757,7 +796,13 @@ struct Tests : Rep {
CHECK(!type->Maybe(T.None));
}
- // Symmetry
+ // Reflexivity upto Inhabitation: T->Maybe(T) iff T inhabited
+ for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
+ TypeHandle type = *it;
+ CHECK(type->Maybe(type) == type->IsInhabited());
+ }
+
+ // Symmetry: T1->Maybe(T2) iff T2->Maybe(T1)
for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
TypeHandle type1 = *it1;
@@ -766,7 +811,7 @@ struct Tests : Rep {
}
}
- // T1->Maybe(T2) only if T1, T2 inhabited
+ // T1->Maybe(T2) implies T1, T2 inhabited
for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
TypeHandle type1 = *it1;
@@ -776,7 +821,16 @@ struct Tests : Rep {
}
}
- // T1->Is(T2) and T1 inhabited implies T1->Maybe(T2) for all T1,T2
+ // T1->Maybe(T2) iff Intersect(T1, T2) inhabited
+ for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
+ for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
+ TypeHandle type1 = *it1;
+ TypeHandle type2 = *it2;
+ CHECK(type1->Maybe(type2) == T.Intersect(type1, type2)->IsInhabited());
+ }
+ }
+
+ // T1->Is(T2) and T1 inhabited implies T1->Maybe(T2)
for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
TypeHandle type1 = *it1;
@@ -804,7 +858,7 @@ struct Tests : Rep {
}
}
- // Constant(V)->Maybe(Class(M)) for no V,M
+ // Constant(V)->Maybe(Class(M)) never
for (MapIterator mt = T.maps.begin(); mt != T.maps.end(); ++mt) {
for (ValueIterator vt = T.values.begin(); vt != T.values.end(); ++vt) {
Handle<i::Map> map = *mt;
@@ -813,7 +867,7 @@ struct Tests : Rep {
}
}
- // Class(M)->Maybe(Constant(V)) for no V,M
+ // Class(M)->Maybe(Constant(V)) never
for (MapIterator mt = T.maps.begin(); mt != T.maps.end(); ++mt) {
for (ValueIterator vt = T.values.begin(); vt != T.values.end(); ++vt) {
Handle<i::Map> map = *mt;
@@ -876,62 +930,124 @@ struct Tests : Rep {
}
void Union() {
- // Bitset-bitset
- CHECK(this->IsBitset(T.Union(T.Object, T.Number)));
- CHECK(this->IsBitset(T.Union(T.Object, T.Object)));
- CHECK(this->IsBitset(T.Union(T.Any, T.None)));
+ // Identity: Union(T, None) = T
+ for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
+ TypeHandle type = *it;
+ CheckEqual(T.Union(type, T.None), type);
+ }
+
+ // Domination: Union(T, Any) = Any
+ for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
+ TypeHandle type = *it;
+ CheckEqual(T.Union(type, T.Any), T.Any);
+ }
+
+ // Idempotence: Union(T, T) = T
+ for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
+ TypeHandle type = *it;
+ CheckEqual(T.Union(type, type), type);
+ }
+
+ // Commutativity: Union(T1, T2) = Union(T2, T1)
+ for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
+ for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
+ TypeHandle type1 = *it1;
+ TypeHandle type2 = *it2;
+ CheckEqual(T.Union(type1, type2), T.Union(type2, type1));
+ }
+ }
+
+ // Associativity: Union(T1, Union(T2, T3)) = Union(Union(T1, T2), T3)
+ for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
+ for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
+ for (TypeIterator it3 = T.types.begin(); it3 != T.types.end(); ++it3) {
+ TypeHandle type1 = *it1;
+ TypeHandle type2 = *it2;
+ TypeHandle type3 = *it3;
+ CheckEqual(
+ T.Union(type1, T.Union(type2, type3)),
+ T.Union(T.Union(type1, type2), type3));
+ }
+ }
+ }
+
+ // Meet: T1->Is(Union(T1, T2)) and T2->Is(Union(T1, T2))
+ for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
+ for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
+ TypeHandle type1 = *it1;
+ TypeHandle type2 = *it2;
+ CHECK(type1->Is(T.Union(type1, type2)));
+ CHECK(type2->Is(T.Union(type1, type2)));
+ }
+ }
+
+ // Upper Boundedness: T1->Is(T2) implies Union(T1, T2) = T2
+ for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
+ for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
+ TypeHandle type1 = *it1;
+ TypeHandle type2 = *it2;
+ if (type1->Is(type2)) CheckEqual(T.Union(type1, type2), type2);
+ }
+ }
+
+ // Monotonicity: T1->Is(T2) implies Union(T1, T3)->Is(Union(T2, T3))
+ for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
+ for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
+ for (TypeIterator it3 = T.types.begin(); it3 != T.types.end(); ++it3) {
+ TypeHandle type1 = *it1;
+ TypeHandle type2 = *it2;
+ TypeHandle type3 = *it3;
+ CHECK(!type1->Is(type2) ||
+ (T.Union(type1, type3)->Is(T.Union(type2, type3))));
+ }
+ }
+ }
+
+ // Monotonicity: T1->Is(T3) and T2->Is(T3) implies Union(T1, T2)->Is(T3)
+ for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
+ for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
+ for (TypeIterator it3 = T.types.begin(); it3 != T.types.end(); ++it3) {
+ TypeHandle type1 = *it1;
+ TypeHandle type2 = *it2;
+ TypeHandle type3 = *it3;
+ CHECK(!(type1->Is(type3) && type2->Is(type3)) ||
+ T.Union(type1, type2)->Is(type3));
+ }
+ }
+ }
- CheckEqual(T.Union(T.None, T.Number), T.Number);
- CheckEqual(T.Union(T.Object, T.Proxy), T.Receiver);
- CheckEqual(T.Union(T.Number, T.String), T.Union(T.String, T.Number));
- CheckSub(T.Union(T.Number, T.String), T.Any);
+ // Monotonicity: T1->Is(T2) or T1->Is(T3) implies T1->Is(Union(T2, T3))
+ for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
+ for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
+ for (TypeIterator it3 = T.types.begin(); it3 != T.types.end(); ++it3) {
+ TypeHandle type1 = *it1;
+ TypeHandle type2 = *it2;
+ TypeHandle type3 = *it3;
+ CHECK(!(type1->Is(type2) || type1->Is(type3)) ||
+ type1->Is(T.Union(type2, type3)));
+ }
+ }
+ }
// Class-class
- CHECK(this->IsClass(T.Union(T.ObjectClass, T.ObjectClass)));
- CHECK(this->IsUnion(T.Union(T.ObjectClass, T.ArrayClass)));
-
- CheckEqual(T.Union(T.ObjectClass, T.ObjectClass), T.ObjectClass);
- CheckSub(T.None, T.Union(T.ObjectClass, T.ArrayClass));
- CheckSub(T.Union(T.ObjectClass, T.ArrayClass), T.Any);
- CheckSub(T.ObjectClass, T.Union(T.ObjectClass, T.ArrayClass));
- CheckSub(T.ArrayClass, T.Union(T.ObjectClass, T.ArrayClass));
CheckSub(T.Union(T.ObjectClass, T.ArrayClass), T.Object);
CheckUnordered(T.Union(T.ObjectClass, T.ArrayClass), T.Array);
CheckOverlap(T.Union(T.ObjectClass, T.ArrayClass), T.Array, T.Semantic);
CheckDisjoint(T.Union(T.ObjectClass, T.ArrayClass), T.Number, T.Semantic);
// Constant-constant
- CHECK(this->IsConstant(T.Union(T.ObjectConstant1, T.ObjectConstant1)));
- CHECK(this->IsConstant(T.Union(T.ArrayConstant, T.ArrayConstant)));
- CHECK(this->IsUnion(T.Union(T.ObjectConstant1, T.ObjectConstant2)));
-
- CheckEqual(
- T.Union(T.ObjectConstant1, T.ObjectConstant1),
- T.ObjectConstant1);
- CheckEqual(T.Union(T.ArrayConstant, T.ArrayConstant), T.ArrayConstant);
- CheckSub(T.None, T.Union(T.ObjectConstant1, T.ObjectConstant2));
- CheckSub(T.Union(T.ObjectConstant1, T.ObjectConstant2), T.Any);
- CheckSub(T.ObjectConstant1, T.Union(T.ObjectConstant1, T.ObjectConstant2));
- CheckSub(T.ObjectConstant2, T.Union(T.ObjectConstant1, T.ObjectConstant2));
CheckSub(T.Union(T.ObjectConstant1, T.ObjectConstant2), T.Object);
+ CheckUnordered(T.Union(T.ObjectConstant1, T.ArrayConstant), T.Array);
CheckUnordered(
T.Union(T.ObjectConstant1, T.ObjectConstant2), T.ObjectClass);
- CheckUnordered(T.Union(T.ObjectConstant1, T.ArrayConstant), T.Array);
CheckOverlap(
T.Union(T.ObjectConstant1, T.ArrayConstant), T.Array, T.Semantic);
CheckDisjoint(
T.Union(T.ObjectConstant1, T.ArrayConstant), T.Number, T.Semantic);
CheckDisjoint(
- T.Union(T.ObjectConstant1, T.ArrayConstant), T.ObjectClass,
- T.Semantic);
+ T.Union(T.ObjectConstant1, T.ArrayConstant), T.ObjectClass, T.Semantic);
// Bitset-class
- CHECK(this->IsBitset(T.Union(T.ObjectClass, T.Object)));
- CHECK(this->IsUnion(T.Union(T.ObjectClass, T.Number)));
-
- CheckEqual(T.Union(T.ObjectClass, T.Object), T.Object);
- CheckSub(T.None, T.Union(T.ObjectClass, T.Number));
- CheckSub(T.Union(T.ObjectClass, T.Number), T.Any);
CheckSub(
T.Union(T.ObjectClass, T.SignedSmall), T.Union(T.Object, T.Number));
CheckSub(T.Union(T.ObjectClass, T.Array), T.Object);
@@ -940,31 +1056,15 @@ struct Tests : Rep {
CheckDisjoint(T.Union(T.ObjectClass, T.String), T.Number, T.Semantic);
// Bitset-constant
- CHECK(this->IsBitset(T.Union(T.SmiConstant, T.Number)));
- CHECK(this->IsBitset(T.Union(T.ObjectConstant1, T.Object)));
- CHECK(this->IsUnion(T.Union(T.ObjectConstant2, T.Number)));
-
- CheckEqual(T.Union(T.SmiConstant, T.Number), T.Number);
- CheckEqual(T.Union(T.ObjectConstant1, T.Object), T.Object);
- CheckSub(T.None, T.Union(T.ObjectConstant1, T.Number));
- CheckSub(T.Union(T.ObjectConstant1, T.Number), T.Any);
CheckSub(
T.Union(T.ObjectConstant1, T.Signed32), T.Union(T.Object, T.Number));
CheckSub(T.Union(T.ObjectConstant1, T.Array), T.Object);
CheckUnordered(T.Union(T.ObjectConstant1, T.String), T.Array);
CheckOverlap(T.Union(T.ObjectConstant1, T.String), T.Object, T.Semantic);
CheckDisjoint(T.Union(T.ObjectConstant1, T.String), T.Number, T.Semantic);
- CheckEqual(T.Union(T.Signed32, T.Signed32Constant), T.Signed32);
// Class-constant
- CHECK(this->IsUnion(T.Union(T.ObjectConstant1, T.ObjectClass)));
- CHECK(this->IsUnion(T.Union(T.ArrayClass, T.ObjectConstant2)));
-
- CheckSub(T.None, T.Union(T.ObjectConstant1, T.ArrayClass));
- CheckSub(T.Union(T.ObjectConstant1, T.ArrayClass), T.Any);
CheckSub(T.Union(T.ObjectConstant1, T.ArrayClass), T.Object);
- CheckSub(T.ObjectConstant1, T.Union(T.ObjectConstant1, T.ArrayClass));
- CheckSub(T.ArrayClass, T.Union(T.ObjectConstant1, T.ArrayClass));
CheckUnordered(T.ObjectClass, T.Union(T.ObjectConstant1, T.ArrayClass));
CheckSub(
T.Union(T.ObjectConstant1, T.ArrayClass), T.Union(T.Array, T.Object));
@@ -976,48 +1076,14 @@ struct Tests : Rep {
T.Union(T.ObjectConstant1, T.ArrayClass), T.ObjectClass, T.Semantic);
// Bitset-union
- CHECK(this->IsBitset(
- T.Union(T.Object, T.Union(T.ObjectConstant1, T.ObjectClass))));
- CHECK(this->IsUnion(
- T.Union(T.Union(T.ArrayClass, T.ObjectConstant2), T.Number)));
-
- CheckEqual(
- T.Union(T.Object, T.Union(T.ObjectConstant1, T.ObjectClass)),
- T.Object);
- CheckEqual(
- T.Union(T.Union(T.ArrayClass, T.ObjectConstant1), T.Number),
- T.Union(T.ObjectConstant1, T.Union(T.Number, T.ArrayClass)));
CheckSub(
T.Float,
T.Union(T.Union(T.ArrayClass, T.ObjectConstant1), T.Number));
CheckSub(
- T.ObjectConstant1,
- T.Union(T.Union(T.ArrayClass, T.ObjectConstant1), T.Float));
- CheckSub(
- T.None,
- T.Union(T.Union(T.ArrayClass, T.ObjectConstant1), T.Float));
- CheckSub(
- T.Union(T.Union(T.ArrayClass, T.ObjectConstant1), T.Float),
- T.Any);
- CheckSub(
T.Union(T.Union(T.ArrayClass, T.ObjectConstant1), T.Float),
T.Union(T.ObjectConstant1, T.Union(T.Number, T.ArrayClass)));
// Class-union
- CHECK(this->IsUnion(
- T.Union(T.Union(T.ArrayClass, T.ObjectConstant2), T.ArrayClass)));
- CHECK(this->IsUnion(
- T.Union(T.Union(T.ArrayClass, T.ObjectConstant2), T.ObjectClass)));
-
- CheckEqual(
- T.Union(T.ObjectClass, T.Union(T.ObjectConstant1, T.ObjectClass)),
- T.Union(T.ObjectClass, T.ObjectConstant1));
- CheckSub(
- T.None,
- T.Union(T.ObjectClass, T.Union(T.ObjectConstant1, T.ObjectClass)));
- CheckSub(
- T.Union(T.ObjectClass, T.Union(T.ObjectConstant1, T.ObjectClass)),
- T.Any);
CheckSub(
T.Union(T.ObjectClass, T.Union(T.ObjectConstant1, T.ObjectClass)),
T.Object);
@@ -1026,13 +1092,6 @@ struct Tests : Rep {
T.Union(T.ArrayClass, T.ObjectConstant2));
// Constant-union
- CHECK(this->IsUnion(T.Union(
- T.ObjectConstant1, T.Union(T.ObjectConstant1, T.ObjectConstant2))));
- CHECK(this->IsUnion(T.Union(
- T.Union(T.ArrayConstant, T.ObjectClass), T.ObjectConstant1)));
- CHECK(this->IsUnion(T.Union(
- T.Union(T.ArrayConstant, T.ObjectConstant2), T.ObjectConstant1)));
-
CheckEqual(
T.Union(
T.ObjectConstant1, T.Union(T.ObjectConstant1, T.ObjectConstant2)),
@@ -1044,13 +1103,6 @@ struct Tests : Rep {
T.ObjectConstant2, T.Union(T.ArrayConstant, T.ObjectConstant1)));
// Union-union
- CHECK(this->IsBitset(T.Union(
- T.Union(T.Number, T.ArrayClass),
- T.Union(T.Signed32, T.Array))));
- CHECK(this->IsUnion(T.Union(
- T.Union(T.Number, T.ArrayClass),
- T.Union(T.ObjectClass, T.ArrayClass))));
-
CheckEqual(
T.Union(
T.Union(T.ObjectConstant2, T.ObjectConstant1),
@@ -1064,61 +1116,129 @@ struct Tests : Rep {
}
void Intersect() {
- // Bitset-bitset
- CHECK(this->IsBitset(T.Intersect(T.Object, T.Number)));
- CHECK(this->IsBitset(T.Intersect(T.Object, T.Object)));
- CHECK(this->IsBitset(T.Intersect(T.Any, T.None)));
+ // Identity: Intersect(T, Any) = T
+ for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
+ TypeHandle type = *it;
+ CheckEqual(T.Intersect(type, T.Any), type);
+ }
- CheckEqual(T.Intersect(T.None, T.Number), T.None);
- CheckSub(T.Intersect(T.Object, T.Proxy), T.Representation);
- CheckEqual(T.Intersect(T.Name, T.String), T.Intersect(T.String, T.Name));
- CheckEqual(T.Intersect(T.UniqueName, T.String), T.InternalizedString);
+ // Domination: Intersect(T, None) = None
+ for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
+ TypeHandle type = *it;
+ CheckEqual(T.Intersect(type, T.None), T.None);
+ }
- // Class-class
- CHECK(this->IsClass(T.Intersect(T.ObjectClass, T.ObjectClass)));
- CHECK(this->IsBitset(T.Intersect(T.ObjectClass, T.ArrayClass)));
+ // Idempotence: Intersect(T, T) = T
+ for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
+ TypeHandle type = *it;
+ CheckEqual(T.Intersect(type, type), type);
+ }
- CheckEqual(T.Intersect(T.ObjectClass, T.ObjectClass), T.ObjectClass);
- CheckEqual(T.Intersect(T.ObjectClass, T.ArrayClass), T.None);
+ // Commutativity: Intersect(T1, T2) = Intersect(T2, T1)
+ for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
+ for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
+ TypeHandle type1 = *it1;
+ TypeHandle type2 = *it2;
+ CheckEqual(T.Intersect(type1, type2), T.Intersect(type2, type1));
+ }
+ }
- // Constant-constant
- CHECK(this->IsConstant(T.Intersect(T.ObjectConstant1, T.ObjectConstant1)));
- CHECK(this->IsBitset(T.Intersect(T.ObjectConstant1, T.ObjectConstant2)));
+ // Associativity:
+ // Intersect(T1, Intersect(T2, T3)) = Intersect(Intersect(T1, T2), T3)
+ for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
+ for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
+ for (TypeIterator it3 = T.types.begin(); it3 != T.types.end(); ++it3) {
+ TypeHandle type1 = *it1;
+ TypeHandle type2 = *it2;
+ TypeHandle type3 = *it3;
+ CheckEqual(
+ T.Intersect(type1, T.Intersect(type2, type3)),
+ T.Intersect(T.Intersect(type1, type2), type3));
+ }
+ }
+ }
- CheckEqual(
- T.Intersect(T.ObjectConstant1, T.ObjectConstant1), T.ObjectConstant1);
- CheckEqual(T.Intersect(T.ObjectConstant1, T.ObjectConstant2), T.None);
+ // Join: Intersect(T1, T2)->Is(T1) and Intersect(T1, T2)->Is(T2)
+ for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
+ for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
+ TypeHandle type1 = *it1;
+ TypeHandle type2 = *it2;
+ CHECK(T.Intersect(type1, type2)->Is(type1));
+ CHECK(T.Intersect(type1, type2)->Is(type2));
+ }
+ }
- // Bitset-class
- CHECK(this->IsClass(T.Intersect(T.ObjectClass, T.Object)));
- CHECK(this->IsBitset(T.Intersect(T.ObjectClass, T.Number)));
+ // Lower Boundedness: T1->Is(T2) implies Intersect(T1, T2) = T1
+ for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
+ for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
+ TypeHandle type1 = *it1;
+ TypeHandle type2 = *it2;
+ if (type1->Is(type2)) CheckEqual(T.Intersect(type1, type2), type1);
+ }
+ }
+
+ // Monotonicity: T1->Is(T2) implies Intersect(T1, T3)->Is(Intersect(T2, T3))
+ for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
+ for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
+ for (TypeIterator it3 = T.types.begin(); it3 != T.types.end(); ++it3) {
+ TypeHandle type1 = *it1;
+ TypeHandle type2 = *it2;
+ TypeHandle type3 = *it3;
+ CHECK(!type1->Is(type2) ||
+ (T.Intersect(type1, type3)->Is(T.Intersect(type2, type3))));
+ }
+ }
+ }
+
+ // Monotonicity: T1->Is(T2) implies Intersect(T1, T3)->Is(Intersect(T2, T3))
+ for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
+ for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
+ for (TypeIterator it3 = T.types.begin(); it3 != T.types.end(); ++it3) {
+ TypeHandle type1 = *it1;
+ TypeHandle type2 = *it2;
+ TypeHandle type3 = *it3;
+ CHECK(!type1->Is(type2) ||
+ (T.Intersect(type1, type3)->Is(T.Intersect(type2, type3))));
+ }
+ }
+ }
+
+ // Monotonicity: T1->Is(T3) or T2->Is(T3) implies Intersect(T1, T2)->Is(T3)
+ for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
+ for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
+ for (TypeIterator it3 = T.types.begin(); it3 != T.types.end(); ++it3) {
+ TypeHandle type1 = *it1;
+ TypeHandle type2 = *it2;
+ TypeHandle type3 = *it3;
+ CHECK(!(type1->Is(type3) || type2->Is(type3)) ||
+ T.Intersect(type1, type2)->Is(type3));
+ }
+ }
+ }
+
+ // Monotonicity: T1->Is(T2) and T1->Is(T3) implies T1->Is(Intersect(T2, T3))
+ for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
+ for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
+ for (TypeIterator it3 = T.types.begin(); it3 != T.types.end(); ++it3) {
+ TypeHandle type1 = *it1;
+ TypeHandle type2 = *it2;
+ TypeHandle type3 = *it3;
+ CHECK(!(type1->Is(type2) && type1->Is(type3)) ||
+ type1->Is(T.Intersect(type2, type3)));
+ }
+ }
+ }
+ // Bitset-class
CheckEqual(T.Intersect(T.ObjectClass, T.Object), T.ObjectClass);
CheckSub(T.Intersect(T.ObjectClass, T.Array), T.Representation);
CheckSub(T.Intersect(T.ObjectClass, T.Number), T.Representation);
- // Bitset-constant
- CHECK(this->IsBitset(T.Intersect(T.SignedSmall, T.Number)));
- CHECK(this->IsConstant(T.Intersect(T.SmiConstant, T.Number)));
- CHECK(this->IsConstant(T.Intersect(T.ObjectConstant1, T.Object)));
-
- CheckEqual(T.Intersect(T.SignedSmall, T.Number), T.SignedSmall);
- CheckEqual(T.Intersect(T.SmiConstant, T.Number), T.SmiConstant);
- CheckEqual(T.Intersect(T.ObjectConstant1, T.Object), T.ObjectConstant1);
-
// Class-constant
- CHECK(this->IsBitset(T.Intersect(T.ObjectConstant1, T.ObjectClass)));
- CHECK(this->IsBitset(T.Intersect(T.ArrayClass, T.ObjectConstant2)));
-
CheckEqual(T.Intersect(T.ObjectConstant1, T.ObjectClass), T.None);
CheckEqual(T.Intersect(T.ArrayClass, T.ObjectConstant2), T.None);
// Bitset-union
- CHECK(this->IsUnion(
- T.Intersect(T.Object, T.Union(T.ObjectConstant1, T.ObjectClass))));
- CHECK(this->IsBitset(
- T.Intersect(T.Union(T.ArrayClass, T.ObjectConstant2), T.Number)));
-
CheckEqual(
T.Intersect(T.Object, T.Union(T.ObjectConstant1, T.ObjectClass)),
T.Union(T.ObjectConstant1, T.ObjectClass));
@@ -1127,13 +1247,6 @@ struct Tests : Rep {
T.None);
// Class-union
- CHECK(this->IsClass(
- T.Intersect(T.Union(T.ArrayClass, T.ObjectConstant2), T.ArrayClass)));
- CHECK(this->IsClass(
- T.Intersect(T.Union(T.Object, T.SmiConstant), T.ArrayClass)));
- CHECK(this->IsBitset(
- T.Intersect(T.Union(T.ObjectClass, T.ArrayConstant), T.ArrayClass)));
-
CheckEqual(
T.Intersect(T.ArrayClass, T.Union(T.ObjectConstant2, T.ArrayClass)),
T.ArrayClass);
@@ -1145,13 +1258,6 @@ struct Tests : Rep {
T.None);
// Constant-union
- CHECK(this->IsConstant(T.Intersect(
- T.ObjectConstant1, T.Union(T.ObjectConstant1, T.ObjectConstant2))));
- CHECK(this->IsConstant(T.Intersect(
- T.Union(T.Number, T.ObjectClass), T.SmiConstant)));
- CHECK(this->IsBitset(T.Intersect(
- T.Union(T.ArrayConstant, T.ObjectClass), T.ObjectConstant1)));
-
CheckEqual(
T.Intersect(
T.ObjectConstant1, T.Union(T.ObjectConstant1, T.ObjectConstant2)),
@@ -1165,11 +1271,6 @@ struct Tests : Rep {
T.None);
// Union-union
- CHECK(this->IsUnion(T.Intersect(
- T.Union(T.Number, T.ArrayClass), T.Union(T.Signed32, T.Array))));
- CHECK(this->IsBitset(T.Intersect(
- T.Union(T.Number, T.ObjectClass), T.Union(T.Signed32, T.Array))));
-
CheckEqual(
T.Intersect(
T.Union(T.Number, T.ArrayClass),
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