// Copyright 2014 the V8 project authors. All rights reserved.
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// Use of this source code is governed by a BSD-style license that can be
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// found in the LICENSE file.
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#ifndef V8_COMPILER_TYPES_H_
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#define V8_COMPILER_TYPES_H_
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#include "src/base/compiler-specific.h"
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#include "src/compiler/js-heap-broker.h"
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#include "src/conversions.h"
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#include "src/globals.h"
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#include "src/handles.h"
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#include "src/objects.h"
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#include "src/ostreams.h"
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namespace v8 {
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namespace internal {
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namespace compiler {
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// SUMMARY
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//
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// A simple type system for compiler-internal use. It is based entirely on
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// union types, and all subtyping hence amounts to set inclusion. Besides the
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// obvious primitive types and some predefined unions, the type language also
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// can express class types (a.k.a. specific maps) and singleton types (i.e.,
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// concrete constants).
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//
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// The following equations and inequations hold:
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//
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// None <= T
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// T <= Any
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//
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// Number = Signed32 \/ Unsigned32 \/ Double
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// Smi <= Signed32
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// Name = String \/ Symbol
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// UniqueName = InternalizedString \/ Symbol
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// InternalizedString < String
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//
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// Receiver = Object \/ Proxy
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// OtherUndetectable < Object
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// DetectableReceiver = Receiver - OtherUndetectable
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//
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// Constant(x) < T iff instance_type(map(x)) < T
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//
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//
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// RANGE TYPES
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//
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// A range type represents a continuous integer interval by its minimum and
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// maximum value. Either value may be an infinity, in which case that infinity
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// itself is also included in the range. A range never contains NaN or -0.
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//
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// If a value v happens to be an integer n, then Constant(v) is considered a
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// subtype of Range(n, n) (and therefore also a subtype of any larger range).
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// In order to avoid large unions, however, it is usually a good idea to use
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// Range rather than Constant.
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//
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//
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// PREDICATES
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//
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// There are two main functions for testing types:
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//
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// T1.Is(T2) -- tests whether T1 is included in T2 (i.e., T1 <= T2)
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// T1.Maybe(T2) -- tests whether T1 and T2 overlap (i.e., T1 /\ T2 =/= 0)
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//
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// Typically, the former is to be used to select representations (e.g., via
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// T.Is(SignedSmall())), and the latter to check whether a specific case needs
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// handling (e.g., via T.Maybe(Number())).
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//
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// There is no functionality to discover whether a type is a leaf in the
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// lattice. That is intentional. It should always be possible to refine the
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// lattice (e.g., splitting up number types further) without invalidating any
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// existing assumptions or tests.
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// Consequently, do not normally use Equals for type tests, always use Is!
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//
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// The NowIs operator implements state-sensitive subtying, as described above.
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// Any compilation decision based on such temporary properties requires runtime
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// guarding!
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//
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//
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// PROPERTIES
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//
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// Various formal properties hold for constructors, operators, and predicates
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// over types. For example, constructors are injective and subtyping is a
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// complete partial order.
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//
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// See test/cctest/test-types.cc for a comprehensive executable specification,
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// especially with respect to the properties of the more exotic 'temporal'
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// constructors and predicates (those prefixed 'Now').
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//
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//
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// IMPLEMENTATION
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//
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// Internally, all 'primitive' types, and their unions, are represented as
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// bitsets. Bit 0 is reserved for tagging. Only structured types require
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// allocation.
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// -----------------------------------------------------------------------------
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// Values for bitset types
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// clang-format off
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#define INTERNAL_BITSET_TYPE_LIST(V) \
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V(OtherUnsigned31, 1u << 1) \
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V(OtherUnsigned32, 1u << 2) \
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V(OtherSigned32, 1u << 3) \
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V(OtherNumber, 1u << 4) \
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V(OtherString, 1u << 5) \
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#define PROPER_BITSET_TYPE_LIST(V) \
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V(None, 0u) \
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V(Negative31, 1u << 6) \
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V(Null, 1u << 7) \
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V(Undefined, 1u << 8) \
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V(Boolean, 1u << 9) \
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V(Unsigned30, 1u << 10) \
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V(MinusZero, 1u << 11) \
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V(NaN, 1u << 12) \
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V(Symbol, 1u << 13) \
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V(InternalizedString, 1u << 14) \
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V(OtherCallable, 1u << 16) \
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V(OtherObject, 1u << 17) \
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V(OtherUndetectable, 1u << 18) \
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V(CallableProxy, 1u << 19) \
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V(OtherProxy, 1u << 20) \
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V(Function, 1u << 21) \
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V(BoundFunction, 1u << 22) \
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V(Hole, 1u << 23) \
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V(OtherInternal, 1u << 24) \
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V(ExternalPointer, 1u << 25) \
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V(Array, 1u << 26) \
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V(BigInt, 1u << 27) \
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\
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V(Signed31, kUnsigned30 | kNegative31) \
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V(Signed32, kSigned31 | kOtherUnsigned31 | \
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kOtherSigned32) \
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V(Signed32OrMinusZero, kSigned32 | kMinusZero) \
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V(Signed32OrMinusZeroOrNaN, kSigned32 | kMinusZero | kNaN) \
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V(Negative32, kNegative31 | kOtherSigned32) \
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V(Unsigned31, kUnsigned30 | kOtherUnsigned31) \
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V(Unsigned32, kUnsigned30 | kOtherUnsigned31 | \
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kOtherUnsigned32) \
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V(Unsigned32OrMinusZero, kUnsigned32 | kMinusZero) \
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V(Unsigned32OrMinusZeroOrNaN, kUnsigned32 | kMinusZero | kNaN) \
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V(Integral32, kSigned32 | kUnsigned32) \
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V(Integral32OrMinusZero, kIntegral32 | kMinusZero) \
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V(Integral32OrMinusZeroOrNaN, kIntegral32OrMinusZero | kNaN) \
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V(PlainNumber, kIntegral32 | kOtherNumber) \
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V(OrderedNumber, kPlainNumber | kMinusZero) \
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V(MinusZeroOrNaN, kMinusZero | kNaN) \
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V(Number, kOrderedNumber | kNaN) \
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V(Numeric, kNumber | kBigInt) \
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V(String, kInternalizedString | kOtherString) \
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V(UniqueName, kSymbol | kInternalizedString) \
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V(Name, kSymbol | kString) \
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V(InternalizedStringOrNull, kInternalizedString | kNull) \
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V(BooleanOrNumber, kBoolean | kNumber) \
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V(BooleanOrNullOrNumber, kBooleanOrNumber | kNull) \
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V(BooleanOrNullOrUndefined, kBoolean | kNull | kUndefined) \
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V(Oddball, kBooleanOrNullOrUndefined | kHole) \
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V(NullOrNumber, kNull | kNumber) \
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V(NullOrUndefined, kNull | kUndefined) \
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V(Undetectable, kNullOrUndefined | kOtherUndetectable) \
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V(NumberOrHole, kNumber | kHole) \
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V(NumberOrOddball, kNumber | kNullOrUndefined | kBoolean | \
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kHole) \
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V(NumericOrString, kNumeric | kString) \
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V(NumberOrUndefined, kNumber | kUndefined) \
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V(NumberOrUndefinedOrNullOrBoolean, \
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kNumber | kNullOrUndefined | kBoolean) \
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V(PlainPrimitive, kNumber | kString | kBoolean | \
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kNullOrUndefined) \
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V(Primitive, kSymbol | kBigInt | kPlainPrimitive) \
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V(OtherUndetectableOrUndefined, kOtherUndetectable | kUndefined) \
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V(Proxy, kCallableProxy | kOtherProxy) \
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V(ArrayOrOtherObject, kArray | kOtherObject) \
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V(ArrayOrProxy, kArray | kProxy) \
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V(DetectableCallable, kFunction | kBoundFunction | \
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kOtherCallable | kCallableProxy) \
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V(Callable, kDetectableCallable | kOtherUndetectable) \
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V(NonCallable, kArray | kOtherObject | kOtherProxy) \
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V(NonCallableOrNull, kNonCallable | kNull) \
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V(DetectableObject, kArray | kFunction | kBoundFunction | \
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kOtherCallable | kOtherObject) \
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V(DetectableReceiver, kDetectableObject | kProxy) \
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V(DetectableReceiverOrNull, kDetectableReceiver | kNull) \
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V(Object, kDetectableObject | kOtherUndetectable) \
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V(Receiver, kObject | kProxy) \
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V(ReceiverOrUndefined, kReceiver | kUndefined) \
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V(ReceiverOrNullOrUndefined, kReceiver | kNull | kUndefined) \
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V(SymbolOrReceiver, kSymbol | kReceiver) \
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V(StringOrReceiver, kString | kReceiver) \
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V(Unique, kBoolean | kUniqueName | kNull | \
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kUndefined | kReceiver) \
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V(Internal, kHole | kExternalPointer | kOtherInternal) \
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V(NonInternal, kPrimitive | kReceiver) \
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V(NonNumber, kUnique | kString | kInternal) \
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V(Any, 0xfffffffeu)
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// clang-format on
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/*
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* The following diagrams show how integers (in the mathematical sense) are
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* divided among the different atomic numerical types.
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*
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* ON OS32 N31 U30 OU31 OU32 ON
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* ______[_______[_______[_______[_______[_______[_______
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* -2^31 -2^30 0 2^30 2^31 2^32
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*
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* E.g., OtherUnsigned32 (OU32) covers all integers from 2^31 to 2^32-1.
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*
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* Some of the atomic numerical bitsets are internal only (see
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* INTERNAL_BITSET_TYPE_LIST). To a types user, they should only occur in
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* union with certain other bitsets. For instance, OtherNumber should only
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* occur as part of PlainNumber.
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*/
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#define BITSET_TYPE_LIST(V) \
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INTERNAL_BITSET_TYPE_LIST(V) \
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PROPER_BITSET_TYPE_LIST(V)
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class HeapConstantType;
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class OtherNumberConstantType;
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class TupleType;
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class Type;
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class UnionType;
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// -----------------------------------------------------------------------------
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// Bitset types (internal).
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class V8_EXPORT_PRIVATE BitsetType {
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public:
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typedef uint32_t bitset; // Internal
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enum : uint32_t {
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#define DECLARE_TYPE(type, value) k##type = (value),
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BITSET_TYPE_LIST(DECLARE_TYPE)
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#undef DECLARE_TYPE
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kUnusedEOL = 0
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};
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static bitset SignedSmall();
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static bitset UnsignedSmall();
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static bool IsNone(bitset bits) { return bits == kNone; }
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static bool Is(bitset bits1, bitset bits2) {
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return (bits1 | bits2) == bits2;
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}
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static double Min(bitset);
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static double Max(bitset);
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static bitset Glb(double min, double max);
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static bitset Lub(HeapObjectType const& type);
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static bitset Lub(double value);
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static bitset Lub(double min, double max);
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static bitset ExpandInternals(bitset bits);
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static const char* Name(bitset);
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static void Print(std::ostream& os, bitset); // NOLINT
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#ifdef DEBUG
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static void Print(bitset);
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#endif
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static bitset NumberBits(bitset bits);
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private:
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struct Boundary {
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bitset internal;
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bitset external;
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double min;
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};
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static const Boundary BoundariesArray[];
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static inline const Boundary* Boundaries();
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static inline size_t BoundariesSize();
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};
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// -----------------------------------------------------------------------------
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// Superclass for non-bitset types (internal).
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class TypeBase {
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protected:
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friend class Type;
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enum Kind { kHeapConstant, kOtherNumberConstant, kTuple, kUnion, kRange };
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Kind kind() const { return kind_; }
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explicit TypeBase(Kind kind) : kind_(kind) {}
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static bool IsKind(Type type, Kind kind);
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private:
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Kind kind_;
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};
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// -----------------------------------------------------------------------------
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// Range types.
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class RangeType : public TypeBase {
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public:
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struct Limits {
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double min;
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double max;
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Limits(double min, double max) : min(min), max(max) {}
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explicit Limits(const RangeType* range)
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: min(range->Min()), max(range->Max()) {}
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bool IsEmpty();
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static Limits Empty() { return Limits(1, 0); }
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static Limits Intersect(Limits lhs, Limits rhs);
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static Limits Union(Limits lhs, Limits rhs);
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};
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double Min() const { return limits_.min; }
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double Max() const { return limits_.max; }
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static bool IsInteger(double x) {
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return nearbyint(x) == x && !IsMinusZero(x); // Allows for infinities.
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}
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private:
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friend class Type;
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friend class BitsetType;
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friend class UnionType;
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static RangeType* New(double min, double max, Zone* zone) {
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return New(Limits(min, max), zone);
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}
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static RangeType* New(Limits lim, Zone* zone) {
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DCHECK(IsInteger(lim.min) && IsInteger(lim.max));
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DCHECK(lim.min <= lim.max);
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BitsetType::bitset bits = BitsetType::Lub(lim.min, lim.max);
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return new (zone->New(sizeof(RangeType))) RangeType(bits, lim);
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}
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RangeType(BitsetType::bitset bitset, Limits limits)
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: TypeBase(kRange), bitset_(bitset), limits_(limits) {}
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BitsetType::bitset Lub() const { return bitset_; }
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BitsetType::bitset bitset_;
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Limits limits_;
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};
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// -----------------------------------------------------------------------------
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// The actual type.
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class V8_EXPORT_PRIVATE Type {
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public:
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typedef BitsetType::bitset bitset; // Internal
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// Constructors.
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#define DEFINE_TYPE_CONSTRUCTOR(type, value) \
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static Type type() { return NewBitset(BitsetType::k##type); }
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PROPER_BITSET_TYPE_LIST(DEFINE_TYPE_CONSTRUCTOR)
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#undef DEFINE_TYPE_CONSTRUCTOR
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Type() : payload_(0) {}
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static Type SignedSmall() { return NewBitset(BitsetType::SignedSmall()); }
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static Type UnsignedSmall() { return NewBitset(BitsetType::UnsignedSmall()); }
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static Type OtherNumberConstant(double value, Zone* zone);
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static Type HeapConstant(JSHeapBroker* js_heap_broker,
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Handle<i::Object> value, Zone* zone);
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static Type HeapConstant(const HeapObjectRef& value, Zone* zone);
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static Type Range(double min, double max, Zone* zone);
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static Type Range(RangeType::Limits lims, Zone* zone);
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static Type Tuple(Type first, Type second, Type third, Zone* zone);
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static Type Union(int length, Zone* zone);
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// NewConstant is a factory that returns Constant, Range or Number.
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static Type NewConstant(JSHeapBroker* js_heap_broker, Handle<i::Object> value,
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Zone* zone);
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static Type NewConstant(double value, Zone* zone);
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static Type Union(Type type1, Type type2, Zone* zone);
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static Type Intersect(Type type1, Type type2, Zone* zone);
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static Type For(JSHeapBroker* js_heap_broker, Handle<i::Map> map) {
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HeapObjectType type = js_heap_broker->HeapObjectTypeFromMap(map);
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return NewBitset(BitsetType::ExpandInternals(BitsetType::Lub(type)));
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}
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// Predicates.
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bool IsNone() const { return payload_ == None().payload_; }
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bool IsInvalid() const { return payload_ == 0u; }
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bool Is(Type that) const {
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return payload_ == that.payload_ || this->SlowIs(that);
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}
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bool Maybe(Type that) const;
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bool Equals(Type that) const { return this->Is(that) && that.Is(*this); }
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// Inspection.
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bool IsBitset() const { return payload_ & 1; }
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bool IsRange() const { return IsKind(TypeBase::kRange); }
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bool IsHeapConstant() const { return IsKind(TypeBase::kHeapConstant); }
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bool IsOtherNumberConstant() const {
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return IsKind(TypeBase::kOtherNumberConstant);
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}
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bool IsTuple() const { return IsKind(TypeBase::kTuple); }
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const HeapConstantType* AsHeapConstant() const;
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const OtherNumberConstantType* AsOtherNumberConstant() const;
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const RangeType* AsRange() const;
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const TupleType* AsTuple() const;
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// Minimum and maximum of a numeric type.
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// These functions do not distinguish between -0 and +0. NaN is ignored.
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// Only call them on subtypes of Number whose intersection with OrderedNumber
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// is not empty.
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double Min() const;
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double Max() const;
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// Extracts a range from the type: if the type is a range or a union
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// containing a range, that range is returned; otherwise, nullptr is returned.
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Type GetRange() const;
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int NumConstants() const;
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static Type Invalid() { return Type(); }
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bool operator==(Type other) const { return payload_ == other.payload_; }
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bool operator!=(Type other) const { return payload_ != other.payload_; }
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// Printing.
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void PrintTo(std::ostream& os) const;
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#ifdef DEBUG
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void Print() const;
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#endif
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// Helpers for testing.
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bool IsUnionForTesting() { return IsUnion(); }
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bitset AsBitsetForTesting() { return AsBitset(); }
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const UnionType* AsUnionForTesting() { return AsUnion(); }
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Type BitsetGlbForTesting() { return NewBitset(BitsetGlb()); }
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Type BitsetLubForTesting() { return NewBitset(BitsetLub()); }
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private:
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// Friends.
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template <class>
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friend class Iterator;
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friend BitsetType;
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friend UnionType;
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friend size_t hash_value(Type type);
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Type(bitset bits) : payload_(bits | 1u) {}
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Type(TypeBase* type_base)
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: payload_(reinterpret_cast<uintptr_t>(type_base)) {}
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// Internal inspection.
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bool IsKind(TypeBase::Kind kind) const {
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if (IsBitset()) return false;
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const TypeBase* base = ToTypeBase();
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return base->kind() == kind;
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}
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const TypeBase* ToTypeBase() const {
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return reinterpret_cast<TypeBase*>(payload_);
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}
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static Type FromTypeBase(TypeBase* type) { return Type(type); }
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bool IsAny() const { return payload_ == Any().payload_; }
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bool IsUnion() const { return IsKind(TypeBase::kUnion); }
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bitset AsBitset() const {
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DCHECK(IsBitset());
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return static_cast<bitset>(payload_) ^ 1u;
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}
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const UnionType* AsUnion() const;
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bitset BitsetGlb() const; // greatest lower bound that's a bitset
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bitset BitsetLub() const; // least upper bound that's a bitset
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bool SlowIs(Type that) const;
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static Type NewBitset(bitset bits) { return Type(bits); }
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static bool Overlap(const RangeType* lhs, const RangeType* rhs);
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static bool Contains(const RangeType* lhs, const RangeType* rhs);
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static int UpdateRange(Type type, UnionType* result, int size, Zone* zone);
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static RangeType::Limits IntersectRangeAndBitset(Type range, Type bits,
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Zone* zone);
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static RangeType::Limits ToLimits(bitset bits, Zone* zone);
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bool SimplyEquals(Type that) const;
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static int AddToUnion(Type type, UnionType* result, int size, Zone* zone);
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static int IntersectAux(Type type, Type other, UnionType* result, int size,
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RangeType::Limits* limits, Zone* zone);
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static Type NormalizeUnion(UnionType* unioned, int size, Zone* zone);
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static Type NormalizeRangeAndBitset(Type range, bitset* bits, Zone* zone);
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// If LSB is set, the payload is a bitset; if LSB is clear, the payload is
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// a pointer to a subtype of the TypeBase class.
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uintptr_t payload_;
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};
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inline size_t hash_value(Type type) { return type.payload_; }
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V8_EXPORT_PRIVATE std::ostream& operator<<(std::ostream& os, Type type);
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// -----------------------------------------------------------------------------
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// Constant types.
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class OtherNumberConstantType : public TypeBase {
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public:
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double Value() const { return value_; }
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static bool IsOtherNumberConstant(double value);
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private:
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friend class Type;
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friend class BitsetType;
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static OtherNumberConstantType* New(double value, Zone* zone) {
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return new (zone->New(sizeof(OtherNumberConstantType)))
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OtherNumberConstantType(value); // NOLINT
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}
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explicit OtherNumberConstantType(double value)
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: TypeBase(kOtherNumberConstant), value_(value) {
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CHECK(IsOtherNumberConstant(value));
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}
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BitsetType::bitset Lub() const { return BitsetType::kOtherNumber; }
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double value_;
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};
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class V8_EXPORT_PRIVATE HeapConstantType : public NON_EXPORTED_BASE(TypeBase) {
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public:
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Handle<HeapObject> Value() const;
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const HeapObjectRef& Ref() const { return heap_ref_; }
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private:
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friend class Type;
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friend class BitsetType;
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static HeapConstantType* New(const HeapObjectRef& heap_ref, Zone* zone) {
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DCHECK(!heap_ref.IsHeapNumber());
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DCHECK_IMPLIES(heap_ref.IsString(), heap_ref.IsInternalizedString());
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BitsetType::bitset bitset = BitsetType::Lub(heap_ref.type());
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return new (zone->New(sizeof(HeapConstantType)))
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HeapConstantType(bitset, heap_ref);
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}
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HeapConstantType(BitsetType::bitset bitset, const HeapObjectRef& heap_ref);
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BitsetType::bitset Lub() const { return bitset_; }
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BitsetType::bitset bitset_;
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HeapObjectRef heap_ref_;
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};
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// -----------------------------------------------------------------------------
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// Superclass for types with variable number of type fields.
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class StructuralType : public TypeBase {
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public:
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int LengthForTesting() const { return Length(); }
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protected:
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friend class Type;
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int Length() const { return length_; }
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Type Get(int i) const {
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DCHECK(0 <= i && i < this->Length());
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return elements_[i];
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}
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void Set(int i, Type type) {
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DCHECK(0 <= i && i < this->Length());
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elements_[i] = type;
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}
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void Shrink(int length) {
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DCHECK(2 <= length && length <= this->Length());
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length_ = length;
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}
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StructuralType(Kind kind, int length, Zone* zone)
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: TypeBase(kind), length_(length) {
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elements_ = reinterpret_cast<Type*>(zone->New(sizeof(Type) * length));
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}
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private:
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int length_;
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Type* elements_;
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};
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// -----------------------------------------------------------------------------
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// Tuple types.
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class TupleType : public StructuralType {
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public:
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int Arity() const { return this->Length(); }
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Type Element(int i) const { return this->Get(i); }
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void InitElement(int i, Type type) { this->Set(i, type); }
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private:
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friend class Type;
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TupleType(int length, Zone* zone) : StructuralType(kTuple, length, zone) {}
|
|
static TupleType* New(int length, Zone* zone) {
|
return new (zone->New(sizeof(TupleType))) TupleType(length, zone);
|
}
|
};
|
|
// -----------------------------------------------------------------------------
|
// Union types (internal).
|
// A union is a structured type with the following invariants:
|
// - its length is at least 2
|
// - at most one field is a bitset, and it must go into index 0
|
// - no field is a union
|
// - no field is a subtype of any other field
|
class UnionType : public StructuralType {
|
private:
|
friend Type;
|
friend BitsetType;
|
|
UnionType(int length, Zone* zone) : StructuralType(kUnion, length, zone) {}
|
|
static UnionType* New(int length, Zone* zone) {
|
return new (zone->New(sizeof(UnionType))) UnionType(length, zone);
|
}
|
|
bool Wellformed() const;
|
};
|
|
} // namespace compiler
|
} // namespace internal
|
} // namespace v8
|
|
#endif // V8_COMPILER_TYPES_H_
|