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// Copyright 2013 the V8 project authors. All rights reserved.
// Use of this source code is governed by a BSD-style license that can be
// found in the LICENSE file.
#include <vector>
#include "src/compiler/types.h"
#include "src/factory-inl.h"
#include "src/heap/heap.h"
#include "src/isolate.h"
#include "src/objects.h"
#include "test/cctest/cctest.h"
#include "test/cctest/types-fuzz.h"
namespace v8 {
namespace internal {
namespace compiler {
namespace {
// Testing auxiliaries (breaking the Type abstraction).
static bool IsInteger(double x) {
return nearbyint(x) == x && !i::IsMinusZero(x); // Allows for infinities.
}
typedef uint32_t bitset;
struct Tests {
typedef Types::TypeVector::iterator TypeIterator;
typedef Types::ValueVector::iterator ValueIterator;
Isolate* isolate;
HandleScope scope;
Zone zone;
Types T;
Tests()
: isolate(CcTest::InitIsolateOnce()),
scope(isolate),
zone(isolate->allocator(), ZONE_NAME),
T(&zone, isolate, isolate->random_number_generator()) {}
bool IsBitset(Type* type) { return type->IsBitsetForTesting(); }
bool IsUnion(Type* type) { return type->IsUnionForTesting(); }
BitsetType::bitset AsBitset(Type* type) { return type->AsBitsetForTesting(); }
UnionType* AsUnion(Type* type) { return type->AsUnionForTesting(); }
bool Equal(Type* type1, Type* type2) {
return type1->Equals(type2) &&
this->IsBitset(type1) == this->IsBitset(type2) &&
this->IsUnion(type1) == this->IsUnion(type2) &&
type1->NumConstants() == type2->NumConstants() &&
(!this->IsBitset(type1) ||
this->AsBitset(type1) == this->AsBitset(type2)) &&
(!this->IsUnion(type1) ||
this->AsUnion(type1)->LengthForTesting() ==
this->AsUnion(type2)->LengthForTesting());
}
void CheckEqual(Type* type1, Type* type2) { CHECK(Equal(type1, type2)); }
void CheckSub(Type* type1, Type* type2) {
CHECK(type1->Is(type2));
CHECK(!type2->Is(type1));
if (this->IsBitset(type1) && this->IsBitset(type2)) {
CHECK(this->AsBitset(type1) != this->AsBitset(type2));
}
}
void CheckSubOrEqual(Type* type1, Type* type2) {
CHECK(type1->Is(type2));
if (this->IsBitset(type1) && this->IsBitset(type2)) {
CHECK((this->AsBitset(type1) | this->AsBitset(type2))
== this->AsBitset(type2));
}
}
void CheckUnordered(Type* type1, Type* type2) {
CHECK(!type1->Is(type2));
CHECK(!type2->Is(type1));
if (this->IsBitset(type1) && this->IsBitset(type2)) {
CHECK(this->AsBitset(type1) != this->AsBitset(type2));
}
}
void CheckOverlap(Type* type1, Type* type2) {
CHECK(type1->Maybe(type2));
CHECK(type2->Maybe(type1));
}
void CheckDisjoint(Type* type1, Type* type2) {
CHECK(!type1->Is(type2));
CHECK(!type2->Is(type1));
CHECK(!type1->Maybe(type2));
CHECK(!type2->Maybe(type1));
}
void IsSomeType() {
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
Type* t = *it;
CHECK_EQ(1, this->IsBitset(t) + t->IsHeapConstant() + t->IsRange() +
t->IsOtherNumberConstant() + this->IsUnion(t));
}
}
void Bitset() {
// None and Any are bitsets.
CHECK(this->IsBitset(T.None));
CHECK(this->IsBitset(T.Any));
CHECK(bitset(0) == this->AsBitset(T.None));
CHECK(bitset(0xFFFFFFFEu) == this->AsBitset(T.Any));
// 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) {
Type* type1 = *it1;
Type* type2 = *it2;
Type* union12 = T.Union(type1, type2);
CHECK(!(this->IsBitset(type1) && this->IsBitset(type2)) ||
this->IsBitset(union12));
}
}
// Intersect(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) {
Type* type1 = *it1;
Type* type2 = *it2;
Type* intersect12 = T.Intersect(type1, type2);
CHECK(!(this->IsBitset(type1) && this->IsBitset(type2)) ||
this->IsBitset(intersect12));
}
}
// 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) {
Type* type1 = *it1;
Type* type2 = *it2;
Type* union12 = T.Union(type1, type2);
CHECK(!(this->IsBitset(type2) && type1->Is(type2)) ||
this->IsBitset(union12));
}
}
// 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) {
Type* type1 = *it1;
Type* type2 = *it2;
Type* union12 = T.Union(type1, type2);
if (this->IsBitset(type1) && this->IsBitset(type2)) {
CHECK(
(this->AsBitset(type1) | this->AsBitset(type2)) ==
this->AsBitset(union12));
}
}
}
// Intersect(T1, T2) is bitwise conjunction for bitsets T1,T2 (modulo None)
for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
Type* type1 = *it1;
Type* type2 = *it2;
if (this->IsBitset(type1) && this->IsBitset(type2)) {
Type* intersect12 = T.Intersect(type1, type2);
bitset bits = this->AsBitset(type1) & this->AsBitset(type2);
CHECK(bits == this->AsBitset(intersect12));
}
}
}
}
void Constant() {
// Constructor
for (ValueIterator vt = T.values.begin(); vt != T.values.end(); ++vt) {
Handle<i::Object> value = *vt;
Type* type = T.NewConstant(value);
CHECK(type->IsHeapConstant() || type->IsOtherNumberConstant() ||
type->IsRange());
}
// Value attribute
for (ValueIterator vt = T.values.begin(); vt != T.values.end(); ++vt) {
Handle<i::Object> value = *vt;
Type* type = T.NewConstant(value);
if (type->IsHeapConstant()) {
CHECK(value.address() == type->AsHeapConstant()->Value().address());
} else if (type->IsOtherNumberConstant()) {
CHECK(value->IsHeapNumber());
CHECK(value->Number() == type->AsOtherNumberConstant()->Value());
} else {
CHECK(type->IsRange());
double v = value->Number();
CHECK(v == type->AsRange()->Min() && v == type->AsRange()->Max());
}
}
// 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> value1 = *vt1;
Handle<i::Object> value2 = *vt2;
Type* type1 = T.NewConstant(value1);
Type* type2 = T.NewConstant(value2);
if (type1->IsOtherNumberConstant() && type2->IsOtherNumberConstant()) {
CHECK(Equal(type1, type2) ==
(type1->AsOtherNumberConstant()->Value() ==
type2->AsOtherNumberConstant()->Value()));
} else if (type1->IsRange() && type2->IsRange()) {
CHECK(Equal(type1, type2) ==
((type1->AsRange()->Min() == type2->AsRange()->Min()) &&
(type1->AsRange()->Max() == type2->AsRange()->Max())));
} else {
CHECK(Equal(type1, type2) == (*value1 == *value2));
}
}
}
// Typing of numbers
Factory* fac = isolate->factory();
CHECK(T.NewConstant(fac->NewNumber(0))->Is(T.UnsignedSmall));
CHECK(T.NewConstant(fac->NewNumber(1))->Is(T.UnsignedSmall));
CHECK(T.NewConstant(fac->NewNumber(0x3FFFFFFF))->Is(T.UnsignedSmall));
CHECK(T.NewConstant(fac->NewNumber(-1))->Is(T.Negative31));
CHECK(T.NewConstant(fac->NewNumber(-0x3FFFFFFF))->Is(T.Negative31));
CHECK(T.NewConstant(fac->NewNumber(-0x40000000))->Is(T.Negative31));
CHECK(T.NewConstant(fac->NewNumber(0x40000000))->Is(T.Unsigned31));
CHECK(!T.NewConstant(fac->NewNumber(0x40000000))->Is(T.Unsigned30));
CHECK(T.NewConstant(fac->NewNumber(0x7FFFFFFF))->Is(T.Unsigned31));
CHECK(!T.NewConstant(fac->NewNumber(0x7FFFFFFF))->Is(T.Unsigned30));
CHECK(T.NewConstant(fac->NewNumber(-0x40000001))->Is(T.Negative32));
CHECK(!T.NewConstant(fac->NewNumber(-0x40000001))->Is(T.Negative31));
CHECK(T.NewConstant(fac->NewNumber(-0x7FFFFFFF))->Is(T.Negative32));
CHECK(!T.NewConstant(fac->NewNumber(-0x7FFFFFFF - 1))->Is(T.Negative31));
if (SmiValuesAre31Bits()) {
CHECK(!T.NewConstant(fac->NewNumber(0x40000000))->Is(T.UnsignedSmall));
CHECK(!T.NewConstant(fac->NewNumber(0x7FFFFFFF))->Is(T.UnsignedSmall));
CHECK(!T.NewConstant(fac->NewNumber(-0x40000001))->Is(T.SignedSmall));
CHECK(!T.NewConstant(fac->NewNumber(-0x7FFFFFFF - 1))->Is(T.SignedSmall));
} else {
CHECK(SmiValuesAre32Bits());
CHECK(T.NewConstant(fac->NewNumber(0x40000000))->Is(T.UnsignedSmall));
CHECK(T.NewConstant(fac->NewNumber(0x7FFFFFFF))->Is(T.UnsignedSmall));
CHECK(T.NewConstant(fac->NewNumber(-0x40000001))->Is(T.SignedSmall));
CHECK(T.NewConstant(fac->NewNumber(-0x7FFFFFFF - 1))->Is(T.SignedSmall));
}
CHECK(T.NewConstant(fac->NewNumber(0x80000000u))->Is(T.Unsigned32));
CHECK(!T.NewConstant(fac->NewNumber(0x80000000u))->Is(T.Unsigned31));
CHECK(T.NewConstant(fac->NewNumber(0xFFFFFFFFu))->Is(T.Unsigned32));
CHECK(!T.NewConstant(fac->NewNumber(0xFFFFFFFFu))->Is(T.Unsigned31));
CHECK(T.NewConstant(fac->NewNumber(0xFFFFFFFFu + 1.0))->Is(T.PlainNumber));
CHECK(!T.NewConstant(fac->NewNumber(0xFFFFFFFFu + 1.0))->Is(T.Integral32));
CHECK(T.NewConstant(fac->NewNumber(-0x7FFFFFFF - 2.0))->Is(T.PlainNumber));
CHECK(!T.NewConstant(fac->NewNumber(-0x7FFFFFFF - 2.0))->Is(T.Integral32));
CHECK(T.NewConstant(fac->NewNumber(0.1))->Is(T.PlainNumber));
CHECK(!T.NewConstant(fac->NewNumber(0.1))->Is(T.Integral32));
CHECK(T.NewConstant(fac->NewNumber(-10.1))->Is(T.PlainNumber));
CHECK(!T.NewConstant(fac->NewNumber(-10.1))->Is(T.Integral32));
CHECK(T.NewConstant(fac->NewNumber(10e60))->Is(T.PlainNumber));
CHECK(!T.NewConstant(fac->NewNumber(10e60))->Is(T.Integral32));
CHECK(T.NewConstant(fac->NewNumber(-1.0 * 0.0))->Is(T.MinusZero));
CHECK(
T.NewConstant(fac->NewNumber(std::numeric_limits<double>::quiet_NaN()))
->Is(T.NaN));
CHECK(T.NewConstant(fac->NewNumber(V8_INFINITY))->Is(T.PlainNumber));
CHECK(!T.NewConstant(fac->NewNumber(V8_INFINITY))->Is(T.Integral32));
CHECK(T.NewConstant(fac->NewNumber(-V8_INFINITY))->Is(T.PlainNumber));
CHECK(!T.NewConstant(fac->NewNumber(-V8_INFINITY))->Is(T.Integral32));
// Typing of Strings
Handle<String> s1 = fac->NewStringFromAsciiChecked("a");
CHECK(T.NewConstant(s1)->Is(T.InternalizedSeqString));
const uc16 two_byte[1] = {0x2603};
Handle<String> s2 =
fac->NewTwoByteInternalizedString(Vector<const uc16>(two_byte, 1), 1);
CHECK(T.NewConstant(s2)->Is(T.InternalizedSeqString));
}
void Range() {
// Constructor
for (ValueIterator i = T.integers.begin(); i != T.integers.end(); ++i) {
for (ValueIterator j = T.integers.begin(); j != T.integers.end(); ++j) {
double min = (*i)->Number();
double max = (*j)->Number();
if (min > max) std::swap(min, max);
Type* type = T.Range(min, max);
CHECK(type->IsRange());
}
}
// Range attributes
for (ValueIterator i = T.integers.begin(); i != T.integers.end(); ++i) {
for (ValueIterator j = T.integers.begin(); j != T.integers.end(); ++j) {
double min = (*i)->Number();
double max = (*j)->Number();
if (min > max) std::swap(min, max);
Type* type = T.Range(min, max);
CHECK(min == type->AsRange()->Min());
CHECK(max == type->AsRange()->Max());
}
}
// Functionality & Injectivity:
// Range(min1, max1) = Range(min2, max2) <=> min1 = min2 /\ max1 = max2
for (ValueIterator i1 = T.integers.begin();
i1 != T.integers.end(); ++i1) {
for (ValueIterator j1 = i1;
j1 != T.integers.end(); ++j1) {
for (ValueIterator i2 = T.integers.begin();
i2 != T.integers.end(); ++i2) {
for (ValueIterator j2 = i2;
j2 != T.integers.end(); ++j2) {
double min1 = (*i1)->Number();
double max1 = (*j1)->Number();
double min2 = (*i2)->Number();
double max2 = (*j2)->Number();
if (min1 > max1) std::swap(min1, max1);
if (min2 > max2) std::swap(min2, max2);
Type* type1 = T.Range(min1, max1);
Type* type2 = T.Range(min2, max2);
CHECK(Equal(type1, type2) == (min1 == min2 && max1 == max2));
}
}
}
}
}
void Of() {
// Constant(V)->Is(Of(V))
for (ValueIterator vt = T.values.begin(); vt != T.values.end(); ++vt) {
Handle<i::Object> value = *vt;
Type* const_type = T.NewConstant(value);
Type* of_type = T.Of(value);
CHECK(const_type->Is(of_type));
}
// If Of(V)->Is(T), then Constant(V)->Is(T)
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;
Type* type = *it;
Type* const_type = T.NewConstant(value);
Type* of_type = T.Of(value);
CHECK(!of_type->Is(type) || const_type->Is(type));
}
}
// If Constant(V)->Is(T), then 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;
Type* type = *it;
Type* const_type = T.NewConstant(value);
Type* of_type = T.Of(value);
CHECK(!const_type->Is(type) ||
of_type->Is(type) || type->Maybe(const_type));
}
}
}
void MinMax() {
// If b is regular numeric bitset, then Range(b->Min(), b->Max())->Is(b).
// TODO(neis): Need to ignore representation for this to be true.
/*
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
Type* type = *it;
if (this->IsBitset(type) && type->Is(T.Number) &&
!type->Is(T.None) && !type->Is(T.NaN)) {
Type* range = T.Range(
isolate->factory()->NewNumber(type->Min()),
isolate->factory()->NewNumber(type->Max()));
CHECK(range->Is(type));
}
}
*/
// If b is regular numeric bitset, then b->Min() and b->Max() are integers.
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
Type* type = *it;
if (this->IsBitset(type) && type->Is(T.Number) && !type->Is(T.NaN)) {
CHECK(IsInteger(type->Min()) && IsInteger(type->Max()));
}
}
// If b1 and b2 are regular numeric bitsets with b1->Is(b2), then
// b1->Min() >= b2->Min() and b1->Max() <= b2->Max().
for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
Type* type1 = *it1;
Type* type2 = *it2;
if (this->IsBitset(type1) && type1->Is(type2) && type2->Is(T.Number) &&
!type1->Is(T.NaN) && !type2->Is(T.NaN)) {
CHECK(type1->Min() >= type2->Min());
CHECK(type1->Max() <= type2->Max());
}
}
}
// Lub(Range(x,y))->Min() <= x and y <= Lub(Range(x,y))->Max()
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
Type* type = *it;
if (type->IsRange()) {
Type* lub = BitsetType::NewForTesting(BitsetType::Lub(type));
CHECK(lub->Min() <= type->Min() && type->Max() <= lub->Max());
}
}
// Rangification: If T->Is(Range(-inf,+inf)) and T is inhabited, then
// T->Is(Range(T->Min(), T->Max())).
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
Type* type = *it;
CHECK(!type->Is(T.Integer) || type->IsNone() ||
type->Is(T.Range(type->Min(), type->Max())));
}
}
void BitsetGlb() {
// Lower: (T->BitsetGlb())->Is(T)
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
Type* type = *it;
Type* glb = BitsetType::NewForTesting(BitsetType::Glb(type));
CHECK(glb->Is(type));
}
// Greatest: If T1->IsBitset() and T1->Is(T2), then T1->Is(T2->BitsetGlb())
for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
Type* type1 = *it1;
Type* type2 = *it2;
Type* glb2 = BitsetType::NewForTesting(BitsetType::Glb(type2));
CHECK(!this->IsBitset(type1) || !type1->Is(type2) || type1->Is(glb2));
}
}
// Monotonicity: T1->Is(T2) implies (T1->BitsetGlb())->Is(T2->BitsetGlb())
for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
Type* type1 = *it1;
Type* type2 = *it2;
Type* glb1 = BitsetType::NewForTesting(BitsetType::Glb(type1));
Type* glb2 = BitsetType::NewForTesting(BitsetType::Glb(type2));
CHECK(!type1->Is(type2) || glb1->Is(glb2));
}
}
}
void BitsetLub() {
// Upper: T->Is(T->BitsetLub())
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
Type* type = *it;
Type* lub = BitsetType::NewForTesting(BitsetType::Lub(type));
CHECK(type->Is(lub));
}
// Least: If T2->IsBitset() and T1->Is(T2), then (T1->BitsetLub())->Is(T2)
for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
Type* type1 = *it1;
Type* type2 = *it2;
Type* lub1 = BitsetType::NewForTesting(BitsetType::Lub(type1));
CHECK(!this->IsBitset(type2) || !type1->Is(type2) || lub1->Is(type2));
}
}
// Monotonicity: T1->Is(T2) implies (T1->BitsetLub())->Is(T2->BitsetLub())
for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
Type* type1 = *it1;
Type* type2 = *it2;
Type* lub1 = BitsetType::NewForTesting(BitsetType::Lub(type1));
Type* lub2 = BitsetType::NewForTesting(BitsetType::Lub(type2));
CHECK(!type1->Is(type2) || lub1->Is(lub2));
}
}
}
void Is1() {
// Least Element (Bottom): None->Is(T)
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
Type* type = *it;
CHECK(T.None->Is(type));
}
// Greatest Element (Top): T->Is(Any)
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
Type* type = *it;
CHECK(type->Is(T.Any));
}
// Bottom Uniqueness: T->Is(None) implies T = None
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
Type* type = *it;
if (type->Is(T.None)) CheckEqual(type, T.None);
}
// Top Uniqueness: Any->Is(T) implies T = Any
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
Type* type = *it;
if (T.Any->Is(type)) CheckEqual(type, T.Any);
}
// Reflexivity: T->Is(T)
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
Type* type = *it;
CHECK(type->Is(type));
}
// 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) {
Type* type1 = *it1;
Type* type2 = *it2;
Type* type3 = *it3;
CHECK(!(type1->Is(type2) && type2->Is(type3)) || type1->Is(type3));
}
}
}
// 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) {
Type* type1 = *it1;
Type* type2 = *it2;
CHECK((type1->Is(type2) && type2->Is(type1)) == Equal(type1, type2));
}
}
// (In-)Compatibilities.
for (TypeIterator i = T.types.begin(); i != T.types.end(); ++i) {
for (TypeIterator j = T.types.begin(); j != T.types.end(); ++j) {
Type* type1 = *i;
Type* type2 = *j;
CHECK(!type1->Is(type2) || this->IsBitset(type2) ||
this->IsUnion(type2) || this->IsUnion(type1) ||
(type1->IsHeapConstant() && type2->IsHeapConstant()) ||
(this->IsBitset(type1) && type2->IsRange()) ||
(type1->IsRange() && type2->IsRange()) ||
(type1->IsOtherNumberConstant() &&
type2->IsOtherNumberConstant()) ||
type1->IsNone());
}
}
}
void Is2() {
// Range(X1, Y1)->Is(Range(X2, Y2)) iff X1 >= X2 /\ Y1 <= Y2
for (ValueIterator i1 = T.integers.begin();
i1 != T.integers.end(); ++i1) {
for (ValueIterator j1 = i1;
j1 != T.integers.end(); ++j1) {
for (ValueIterator i2 = T.integers.begin();
i2 != T.integers.end(); ++i2) {
for (ValueIterator j2 = i2;
j2 != T.integers.end(); ++j2) {
double min1 = (*i1)->Number();
double max1 = (*j1)->Number();
double min2 = (*i2)->Number();
double max2 = (*j2)->Number();
if (min1 > max1) std::swap(min1, max1);
if (min2 > max2) std::swap(min2, max2);
Type* type1 = T.Range(min1, max1);
Type* type2 = T.Range(min2, max2);
CHECK(type1->Is(type2) == (min1 >= min2 && max1 <= max2));
}
}
}
}
// 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) {
Handle<i::Object> value1 = *vt1;
Handle<i::Object> value2 = *vt2;
Type* const_type1 = T.NewConstant(value1);
Type* const_type2 = T.NewConstant(value2);
if (const_type1->IsOtherNumberConstant() &&
const_type2->IsOtherNumberConstant()) {
CHECK(const_type1->Is(const_type2) ==
(const_type1->AsOtherNumberConstant()->Value() ==
const_type2->AsOtherNumberConstant()->Value()));
} else if (const_type1->IsRange() && const_type2->IsRange()) {
CHECK(Equal(const_type1, const_type2) ==
((const_type1->AsRange()->Min() ==
const_type2->AsRange()->Min()) &&
(const_type1->AsRange()->Max() ==
const_type2->AsRange()->Max())));
} else {
CHECK(const_type1->Is(const_type2) == (*value1 == *value2));
}
}
}
// Range-specific subtyping
// Lub(Range(x,y))->Is(T.Union(T.Integral32, T.OtherNumber))
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
Type* type = *it;
if (type->IsRange()) {
Type* lub = BitsetType::NewForTesting(BitsetType::Lub(type));
CHECK(lub->Is(T.PlainNumber));
}
}
// Subtyping between concrete basic types
CheckUnordered(T.Boolean, T.Null);
CheckUnordered(T.Undefined, T.Null);
CheckUnordered(T.Boolean, T.Undefined);
CheckSub(T.SignedSmall, T.Number);
CheckSub(T.Signed32, T.Number);
CheckSubOrEqual(T.SignedSmall, T.Signed32);
CheckUnordered(T.SignedSmall, T.MinusZero);
CheckUnordered(T.Signed32, T.Unsigned32);
CheckSub(T.UniqueName, T.Name);
CheckSub(T.String, T.Name);
CheckSub(T.InternalizedSeqString, T.InternalizedString);
CheckSub(T.InternalizedNonSeqString, T.InternalizedString);
CheckSub(T.InternalizedString, T.String);
CheckSub(T.InternalizedString, T.UniqueName);
CheckSub(T.InternalizedString, T.Name);
CheckSub(T.OtherSeqString, T.OtherString);
CheckSub(T.OtherNonSeqString, T.OtherString);
CheckSub(T.OtherString, T.String);
CheckSub(T.Symbol, T.UniqueName);
CheckSub(T.Symbol, T.Name);
CheckUnordered(T.String, T.UniqueName);
CheckUnordered(T.String, T.Symbol);
CheckUnordered(T.InternalizedString, T.Symbol);
CheckSub(T.Object, T.Receiver);
CheckSub(T.Proxy, T.Receiver);
CheckSub(T.Array, T.Object);
CheckSub(T.OtherObject, T.Object);
CheckSub(T.OtherUndetectable, T.Object);
CheckUnordered(T.Object, T.Proxy);
CheckUnordered(T.Array, T.Undetectable);
CheckUnordered(T.OtherObject, T.Undetectable);
// Subtyping between concrete structural types
CheckSub(T.SmiConstant, T.SignedSmall);
CheckSub(T.SmiConstant, T.Signed32);
CheckSub(T.SmiConstant, T.Number);
CheckSub(T.ObjectConstant1, T.Object);
CheckSub(T.ObjectConstant2, T.Object);
CheckSub(T.ArrayConstant, T.Object);
CheckSub(T.ArrayConstant, T.Array);
CheckSub(T.ArrayConstant, T.Receiver);
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);
}
void Maybe() {
// T->Maybe(Any) iff T inhabited
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
Type* type = *it;
CHECK(type->Maybe(T.Any) == !type->IsNone());
}
// T->Maybe(None) never
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
Type* type = *it;
CHECK(!type->Maybe(T.None));
}
// Reflexivity upto Inhabitation: T->Maybe(T) iff T inhabited
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
Type* type = *it;
CHECK(type->Maybe(type) == !type->IsNone());
}
// 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) {
Type* type1 = *it1;
Type* type2 = *it2;
CHECK(type1->Maybe(type2) == type2->Maybe(type1));
}
}
// 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) {
Type* type1 = *it1;
Type* type2 = *it2;
CHECK(!type1->Maybe(type2) || (!type1->IsNone() && !type2->IsNone()));
}
}
// T1->Maybe(T2) implies 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) {
Type* type1 = *it1;
Type* type2 = *it2;
Type* intersect12 = T.Intersect(type1, type2);
CHECK(!type1->Maybe(type2) || !intersect12->IsNone());
}
}
// 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) {
Type* type1 = *it1;
Type* type2 = *it2;
CHECK(!(type1->Is(type2) && !type1->IsNone()) || type1->Maybe(type2));
}
}
// Constant(V1)->Maybe(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> value1 = *vt1;
Handle<i::Object> value2 = *vt2;
Type* const_type1 = T.NewConstant(value1);
Type* const_type2 = T.NewConstant(value2);
if (const_type1->IsOtherNumberConstant() &&
const_type2->IsOtherNumberConstant()) {
CHECK(const_type1->Maybe(const_type2) ==
(const_type1->AsOtherNumberConstant()->Value() ==
const_type2->AsOtherNumberConstant()->Value()));
} else if (const_type1->IsRange() && const_type2->IsRange()) {
CHECK(Equal(const_type1, const_type2) ==
((const_type1->AsRange()->Min() ==
const_type2->AsRange()->Min()) &&
(const_type1->AsRange()->Max() ==
const_type2->AsRange()->Max())));
} else {
CHECK(const_type1->Maybe(const_type2) == (*value1 == *value2));
}
}
}
// Basic types
CheckDisjoint(T.Boolean, T.Null);
CheckDisjoint(T.Undefined, T.Null);
CheckDisjoint(T.Boolean, T.Undefined);
CheckOverlap(T.SignedSmall, T.Number);
CheckOverlap(T.NaN, T.Number);
CheckDisjoint(T.Signed32, T.NaN);
CheckOverlap(T.UniqueName, T.Name);
CheckOverlap(T.InternalizedNonSeqString, T.InternalizedString);
CheckOverlap(T.InternalizedSeqString, T.InternalizedString);
CheckOverlap(T.OtherNonSeqString, T.OtherString);
CheckOverlap(T.OtherSeqString, T.OtherString);
CheckOverlap(T.String, T.Name);
CheckOverlap(T.InternalizedString, T.String);
CheckOverlap(T.InternalizedString, T.UniqueName);
CheckOverlap(T.InternalizedString, T.Name);
CheckOverlap(T.OtherString, T.String);
CheckOverlap(T.Symbol, T.UniqueName);
CheckOverlap(T.Symbol, T.Name);
CheckOverlap(T.String, T.UniqueName);
CheckDisjoint(T.String, T.Symbol);
CheckDisjoint(T.InternalizedString, T.Symbol);
CheckOverlap(T.Object, T.Receiver);
CheckOverlap(T.OtherObject, T.Object);
CheckOverlap(T.Proxy, T.Receiver);
CheckDisjoint(T.Object, T.Proxy);
// Structural types
CheckOverlap(T.SmiConstant, T.SignedSmall);
CheckOverlap(T.SmiConstant, T.Signed32);
CheckOverlap(T.SmiConstant, T.Number);
CheckOverlap(T.ObjectConstant1, T.Object);
CheckOverlap(T.ObjectConstant2, T.Object);
CheckOverlap(T.ArrayConstant, T.Object);
CheckOverlap(T.ArrayConstant, T.Receiver);
CheckOverlap(T.ObjectConstant1, T.ObjectConstant1);
CheckDisjoint(T.ObjectConstant1, T.ObjectConstant2);
CheckDisjoint(T.ObjectConstant1, T.ArrayConstant);
}
void Union1() {
// Identity: Union(T, None) = T
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
Type* type = *it;
Type* union_type = T.Union(type, T.None);
CheckEqual(union_type, type);
}
// Domination: Union(T, Any) = Any
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
Type* type = *it;
Type* union_type = T.Union(type, T.Any);
CheckEqual(union_type, T.Any);
}
// Idempotence: Union(T, T) = T
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
Type* type = *it;
Type* union_type = T.Union(type, type);
CheckEqual(union_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) {
Type* type1 = *it1;
Type* type2 = *it2;
Type* union12 = T.Union(type1, type2);
Type* union21 = T.Union(type2, type1);
CheckEqual(union12, union21);
}
}
// Associativity: Union(T1, Union(T2, T3)) = Union(Union(T1, T2), T3)
// This does NOT hold! For example:
// (Unsigned32 \/ Range(0,5)) \/ Range(-5,0) = Unsigned32 \/ Range(-5,0)
// Unsigned32 \/ (Range(0,5) \/ Range(-5,0)) = Unsigned32 \/ Range(-5,5)
/*
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) {
Type* type1 = *it1;
Type* type2 = *it2;
Type* type3 = *it3;
Type* union12 = T.Union(type1, type2);
Type* union23 = T.Union(type2, type3);
Type* union1_23 = T.Union(type1, union23);
Type* union12_3 = T.Union(union12, type3);
CheckEqual(union1_23, union12_3);
}
}
}
*/
// 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) {
Type* type1 = *it1;
Type* type2 = *it2;
Type* union12 = T.Union(type1, type2);
CHECK(type1->Is(union12));
CHECK(type2->Is(union12));
}
}
// 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) {
Type* type1 = *it1;
Type* type2 = *it2;
Type* union12 = T.Union(type1, type2);
if (type1->Is(type2)) CheckEqual(union12, type2);
}
}
// Monotonicity: T1->Is(T2) implies Union(T1, T3)->Is(Union(T2, T3))
// This does NOT hold. For example:
// Range(-5,-1) <= Signed32
// Range(-5,-1) \/ Range(1,5) = Range(-5,5) </= Signed32 \/ Range(1,5)
/*
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) {
Type* type1 = *it1;
Type* type2 = *it2;
Type* type3 = *it3;
Type* union13 = T.Union(type1, type3);
Type* union23 = T.Union(type2, type3);
CHECK(!type1->Is(type2) || union13->Is(union23));
}
}
}
*/
}
void Union2() {
// Monotonicity: T1->Is(T3) and T2->Is(T3) implies Union(T1, T2)->Is(T3)
// This does NOT hold. For example:
// Range(-2^33, -2^33) <= OtherNumber
// Range(2^33, 2^33) <= OtherNumber
// Range(-2^33, 2^33) </= OtherNumber
/*
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) {
Type* type1 = *it1;
Type* type2 = *it2;
Type* type3 = *it3;
Type* union12 = T.Union(type1, type2);
CHECK(!(type1->Is(type3) && type2->Is(type3)) || union12->Is(type3));
}
}
}
*/
}
void Union3() {
// 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) {
HandleScope scope(isolate);
for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
for (TypeIterator it3 = it2; it3 != T.types.end(); ++it3) {
Type* type1 = *it1;
Type* type2 = *it2;
Type* type3 = *it3;
Type* union23 = T.Union(type2, type3);
CHECK(!(type1->Is(type2) || type1->Is(type3)) || type1->Is(union23));
}
}
}
}
void Union4() {
// Constant-constant
CheckSub(T.Union(T.ObjectConstant1, T.ObjectConstant2), T.Object);
CheckOverlap(T.Union(T.ObjectConstant1, T.ArrayConstant), T.OtherObject);
CheckOverlap(T.Union(T.ObjectConstant1, T.ArrayConstant), T.OtherObject);
CheckDisjoint(
T.Union(T.ObjectConstant1, T.ArrayConstant), T.Number);
// Bitset-constant
CheckSub(
T.Union(T.ObjectConstant1, T.Signed32), T.Union(T.Object, T.Number));
CheckSub(T.Union(T.ObjectConstant1, T.OtherObject), T.Object);
CheckUnordered(T.Union(T.ObjectConstant1, T.String), T.OtherObject);
CheckOverlap(T.Union(T.ObjectConstant1, T.String), T.Object);
CheckDisjoint(T.Union(T.ObjectConstant1, T.String), T.Number);
// Constant-union
CheckEqual(
T.Union(
T.ObjectConstant1, T.Union(T.ObjectConstant1, T.ObjectConstant2)),
T.Union(T.ObjectConstant2, T.ObjectConstant1));
CheckEqual(
T.Union(
T.Union(T.ArrayConstant, T.ObjectConstant2), T.ObjectConstant1),
T.Union(
T.ObjectConstant2, T.Union(T.ArrayConstant, T.ObjectConstant1)));
// Union-union
CheckEqual(
T.Union(
T.Union(T.ObjectConstant2, T.ObjectConstant1),
T.Union(T.ObjectConstant1, T.ObjectConstant2)),
T.Union(T.ObjectConstant2, T.ObjectConstant1));
}
void Intersect() {
// Identity: Intersect(T, Any) = T
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
Type* type = *it;
Type* intersect_type = T.Intersect(type, T.Any);
CheckEqual(intersect_type, type);
}
// Domination: Intersect(T, None) = None
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
Type* type = *it;
Type* intersect_type = T.Intersect(type, T.None);
CheckEqual(intersect_type, T.None);
}
// Idempotence: Intersect(T, T) = T
for (TypeIterator it = T.types.begin(); it != T.types.end(); ++it) {
Type* type = *it;
Type* intersect_type = T.Intersect(type, type);
CheckEqual(intersect_type, type);
}
// 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) {
Type* type1 = *it1;
Type* type2 = *it2;
Type* intersect12 = T.Intersect(type1, type2);
Type* intersect21 = T.Intersect(type2, type1);
CheckEqual(intersect12, intersect21);
}
}
// 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) {
Type* type1 = *it1;
Type* type2 = *it2;
Type* intersect12 = T.Intersect(type1, type2);
if (type1->Is(type2)) CheckEqual(intersect12, type1);
}
}
// 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) {
HandleScope scope(isolate);
for (TypeIterator it2 = T.types.begin(); it2 != T.types.end(); ++it2) {
for (TypeIterator it3 = T.types.begin(); it3 != T.types.end(); ++it3) {
Type* type1 = *it1;
Type* type2 = *it2;
Type* type3 = *it3;
Type* intersect23 = T.Intersect(type2, type3);
CHECK(!(type1->Is(type2) && type1->Is(type3)) ||
type1->Is(intersect23));
}
}
}
// Constant-union
CheckEqual(
T.Intersect(
T.ObjectConstant1, T.Union(T.ObjectConstant1, T.ObjectConstant2)),
T.ObjectConstant1);
CheckEqual(
T.Intersect(T.SmiConstant, T.Union(T.Number, T.ObjectConstant2)),
T.SmiConstant);
// Union-union
CheckEqual(
T.Intersect(
T.Union(T.ObjectConstant2, T.ObjectConstant1),
T.Union(T.ObjectConstant1, T.ObjectConstant2)),
T.Union(T.ObjectConstant2, T.ObjectConstant1));
}
void Distributivity() {
// Union(T1, Intersect(T2, T3)) = Intersect(Union(T1, T2), Union(T1, T3))
// This does NOT hold. For example:
// Untagged \/ (Untagged /\ Class(../Tagged)) = Untagged \/ Class(../Tagged)
// (Untagged \/ Untagged) /\ (Untagged \/ Class(../Tagged)) =
// Untagged /\ (Untagged \/ Class(../Tagged)) = Untagged
// because Untagged <= Untagged \/ Class(../Tagged)
/*
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) {
Type* type1 = *it1;
Type* type2 = *it2;
Type* type3 = *it3;
Type* union12 = T.Union(type1, type2);
Type* union13 = T.Union(type1, type3);
Type* intersect23 = T.Intersect(type2, type3);
Type* union1_23 = T.Union(type1, intersect23);
Type* intersect12_13 = T.Intersect(union12, union13);
CHECK(Equal(union1_23, intersect12_13));
}
}
}
*/
// Intersect(T1, Union(T2, T3)) = Union(Intersect(T1, T2), Intersect(T1,T3))
// This does NOT hold. For example:
// Untagged /\ (Untagged \/ Class(../Tagged)) = Untagged
// (Untagged /\ Untagged) \/ (Untagged /\ Class(../Tagged)) =
// Untagged \/ Class(../Tagged)
/*
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) {
Type* type1 = *it1;
Type* type2 = *it2;
Type* type3 = *it3;
Type* intersect12 = T.Intersect(type1, type2);
Type* intersect13 = T.Intersect(type1, type3);
Type* union23 = T.Union(type2, type3);
Type* intersect1_23 = T.Intersect(type1, union23);
Type* union12_13 = T.Union(intersect12, intersect13);
CHECK(Equal(intersect1_23, union12_13));
}
}
}
*/
}
void GetRange() {
// GetRange(Range(a, b)) = Range(a, b).
for (TypeIterator it1 = T.types.begin(); it1 != T.types.end(); ++it1) {
Type* type1 = *it1;
if (type1->IsRange()) {
RangeType* range = type1->GetRange()->AsRange();
CHECK(type1->Min() == range->Min());
CHECK(type1->Max() == range->Max());
}
}
}
};
} // namespace
TEST(IsSomeType) { Tests().IsSomeType(); }
TEST(BitsetType) { Tests().Bitset(); }
TEST(ConstantType) { Tests().Constant(); }
TEST(RangeType) { Tests().Range(); }
TEST(Of) { Tests().Of(); }
TEST(MinMax) { Tests().MinMax(); }
TEST(BitsetGlb) { Tests().BitsetGlb(); }
TEST(BitsetLub) { Tests().BitsetLub(); }
TEST(Is1) { Tests().Is1(); }
TEST(Is2) { Tests().Is2(); }
TEST(Maybe) { Tests().Maybe(); }
TEST(Union1) { Tests().Union1(); }
TEST(Union2) { Tests().Union2(); }
TEST(Union3) { Tests().Union3(); }
TEST(Union4) { Tests().Union4(); }
TEST(Intersect) { Tests().Intersect(); }
TEST(Distributivity) { Tests().Distributivity(); }
TEST(GetRange) { Tests().GetRange(); }
} // namespace compiler
} // namespace internal
} // namespace v8