// This file is part of the Luau programming language and is licensed under MIT License; see LICENSE.txt for details #pragma once #include "Luau/NotNull.h" #include "Luau/Type.h" #include "Luau/UnifierSharedState.h" #include namespace Luau { struct InternalErrorReporter; struct Module; struct Scope; struct BuiltinTypes; using ModulePtr = std::shared_ptr; bool isSubtype(TypeId subTy, TypeId superTy, NotNull scope, NotNull builtinTypes, InternalErrorReporter& ice); bool isSubtype(TypePackId subTy, TypePackId superTy, NotNull scope, NotNull builtinTypes, InternalErrorReporter& ice); bool isConsistentSubtype(TypeId subTy, TypeId superTy, NotNull scope, NotNull builtinTypes, InternalErrorReporter& ice); bool isConsistentSubtype(TypePackId subTy, TypePackId superTy, NotNull scope, NotNull builtinTypes, InternalErrorReporter& ice); class TypeIds { private: std::unordered_set types; std::vector order; std::size_t hash = 0; public: using iterator = std::vector::iterator; using const_iterator = std::vector::const_iterator; TypeIds(const TypeIds&) = default; TypeIds(TypeIds&&) = default; TypeIds() = default; ~TypeIds() = default; TypeIds& operator=(TypeIds&&) = default; void insert(TypeId ty); /// Erase every element that does not also occur in tys void retain(const TypeIds& tys); void clear(); TypeId front() const; iterator begin(); iterator end(); const_iterator begin() const; const_iterator end() const; iterator erase(const_iterator it); size_t size() const; bool empty() const; size_t count(TypeId ty) const; template void insert(Iterator begin, Iterator end) { for (Iterator it = begin; it != end; ++it) insert(*it); } bool operator==(const TypeIds& there) const; size_t getHash() const; bool isNever() const; }; } // namespace Luau template<> struct std::hash { std::size_t operator()(const Luau::TypeIds& tys) const { return tys.getHash(); } }; template<> struct std::hash { std::size_t operator()(const Luau::TypeIds* tys) const { return tys->getHash(); } }; template<> struct std::equal_to { bool operator()(const Luau::TypeIds& here, const Luau::TypeIds& there) const { return here == there; } }; template<> struct std::equal_to { bool operator()(const Luau::TypeIds* here, const Luau::TypeIds* there) const { return *here == *there; } }; namespace Luau { /** A normalized string type is either `string` (represented by `nullopt`) or a * union of string singletons. * * The representation is as follows: * * * A union of string singletons is finite and includes the singletons named by * the `singletons` field. * * An intersection of negated string singletons is cofinite and includes the * singletons excluded by the `singletons` field. It is implied that cofinite * values are exclusions from `string` itself. * * The `string` data type is a cofinite set minus zero elements. * * The `never` data type is a finite set plus zero elements. */ struct NormalizedStringType { // When false, this type represents a union of singleton string types. // eg "a" | "b" | "c" // // When true, this type represents string intersected with negated string // singleton types. // eg string & ~"a" & ~"b" & ... bool isCofinite = false; std::map singletons; void resetToString(); void resetToNever(); bool isNever() const; bool isString() const; /// Returns true if the string has finite domain. /// /// Important subtlety: This method returns true for `never`. The empty set /// is indeed an empty set. bool isUnion() const; /// Returns true if the string has infinite domain. bool isIntersection() const; bool includes(const std::string& str) const; static const NormalizedStringType never; NormalizedStringType(); NormalizedStringType(bool isCofinite, std::map singletons); }; bool isSubtype(const NormalizedStringType& subStr, const NormalizedStringType& superStr); struct NormalizedClassType { /** Has the following structure: * * (C1 & ~N11 & ... & ~Nn) | (C2 & ~N21 & ... & ~N2n) | ... * * C2 is either not a subtype of any other Cm, or it is and is also a * subtype of one of Nmn types within the same cluster. * * Each TypeId is a class type. */ std::unordered_map classes; /** * In order to maintain a consistent insertion order, we use this vector to * keep track of it. An ordered std::map will sort by pointer identity, * which is undesirable. */ std::vector ordering; void pushPair(TypeId ty, TypeIds negations); void resetToNever(); bool isNever() const; }; // A normalized function type can be `never`, the top function type `function`, // or an intersection of function types. // // NOTE: type normalization can fail on function types with generics (e.g. // because we do not support unions and intersections of generic type packs), so // this type may contain `error`. struct NormalizedFunctionType { bool isTop = false; TypeIds parts; void resetToNever(); void resetToTop(); bool isNever() const; }; // A normalized generic/free type is a union, where each option is of the form (X & T) where // * X is either a free type, a generic or a blocked type. // * T is a normalized type. struct NormalizedType; using NormalizedTyvars = std::unordered_map>; // A normalized type is either any, unknown, or one of the form P | T | F | G where // * P is a union of primitive types (including singletons, classes and the error type) // * T is a union of table types // * F is a union of an intersection of function types // * G is a union of generic/free/blocked types, intersected with a normalized type struct NormalizedType { // The top part of the type. // This type is either never, unknown, or any. // If this type is not never, all the other fields are null. TypeId tops; // The boolean part of the type. // This type is either never, boolean type, or a boolean singleton. TypeId booleans; NormalizedClassType classes; // The error part of the type. // This type is either never or the error type. TypeId errors; // The nil part of the type. // This type is either never or nil. TypeId nils; // The number part of the type. // This type is either never or number. TypeId numbers; // The string part of the type. // This may be the `string` type, or a union of singletons. NormalizedStringType strings; // The thread part of the type. // This type is either never or thread. TypeId threads; // The (meta)table part of the type. // Each element of this set is a (meta)table type, or the top `table` type. // An empty set denotes never. TypeIds tables; // The function part of the type. NormalizedFunctionType functions; // The generic/free part of the type. NormalizedTyvars tyvars; NormalizedType(NotNull builtinTypes); NormalizedType() = delete; ~NormalizedType() = default; NormalizedType(const NormalizedType&) = delete; NormalizedType& operator=(const NormalizedType&) = delete; NormalizedType(NormalizedType&&) = default; NormalizedType& operator=(NormalizedType&&) = default; // IsType functions /// Returns true if the type is exactly a number. Behaves like Type::isNumber() bool isExactlyNumber() const; /// Returns true if the type is a subtype of string(it could be a singleton). Behaves like Type::isString() bool isSubtypeOfString() const; // Helpers that improve readability of the above (they just say if the component is present) bool hasTops() const; bool hasBooleans() const; bool hasClasses() const; bool hasErrors() const; bool hasNils() const; bool hasNumbers() const; bool hasStrings() const; bool hasThreads() const; bool hasTables() const; bool hasFunctions() const; bool hasTyvars() const; }; class Normalizer { std::unordered_map> cachedNormals; std::unordered_map cachedIntersections; std::unordered_map cachedUnions; std::unordered_map> cachedTypeIds; DenseHashMap cachedIsInhabited{nullptr}; DenseHashMap, bool, TypeIdPairHash> cachedIsInhabitedIntersection{{nullptr, nullptr}}; bool withinResourceLimits(); public: TypeArena* arena; NotNull builtinTypes; NotNull sharedState; bool cacheInhabitance = false; Normalizer(TypeArena* arena, NotNull builtinTypes, NotNull sharedState, bool cacheInhabitance = false); Normalizer(const Normalizer&) = delete; Normalizer(Normalizer&&) = delete; Normalizer() = delete; ~Normalizer() = default; Normalizer& operator=(Normalizer&&) = delete; Normalizer& operator=(Normalizer&) = delete; // If this returns null, the typechecker should emit a "too complex" error const NormalizedType* normalize(TypeId ty); void clearNormal(NormalizedType& norm); // ------- Cached TypeIds TypeId unionType(TypeId here, TypeId there); TypeId intersectionType(TypeId here, TypeId there); const TypeIds* cacheTypeIds(TypeIds tys); void clearCaches(); // ------- Normalizing unions void unionTysWithTy(TypeIds& here, TypeId there); TypeId unionOfTops(TypeId here, TypeId there); TypeId unionOfBools(TypeId here, TypeId there); void unionClassesWithClass(TypeIds& heres, TypeId there); void unionClasses(TypeIds& heres, const TypeIds& theres); void unionClassesWithClass(NormalizedClassType& heres, TypeId there); void unionClasses(NormalizedClassType& heres, const NormalizedClassType& theres); void unionStrings(NormalizedStringType& here, const NormalizedStringType& there); std::optional unionOfTypePacks(TypePackId here, TypePackId there); std::optional unionOfFunctions(TypeId here, TypeId there); std::optional unionSaturatedFunctions(TypeId here, TypeId there); void unionFunctionsWithFunction(NormalizedFunctionType& heress, TypeId there); void unionFunctions(NormalizedFunctionType& heress, const NormalizedFunctionType& theress); void unionTablesWithTable(TypeIds& heres, TypeId there); void unionTables(TypeIds& heres, const TypeIds& theres); bool unionNormals(NormalizedType& here, const NormalizedType& there, int ignoreSmallerTyvars = -1); bool unionNormalWithTy(NormalizedType& here, TypeId there, int ignoreSmallerTyvars = -1); // ------- Negations std::optional negateNormal(const NormalizedType& here); TypeIds negateAll(const TypeIds& theres); TypeId negate(TypeId there); void subtractPrimitive(NormalizedType& here, TypeId ty); void subtractSingleton(NormalizedType& here, TypeId ty); // ------- Normalizing intersections TypeId intersectionOfTops(TypeId here, TypeId there); TypeId intersectionOfBools(TypeId here, TypeId there); void intersectClasses(NormalizedClassType& heres, const NormalizedClassType& theres); void intersectClassesWithClass(NormalizedClassType& heres, TypeId there); void intersectStrings(NormalizedStringType& here, const NormalizedStringType& there); std::optional intersectionOfTypePacks(TypePackId here, TypePackId there); std::optional intersectionOfTables(TypeId here, TypeId there); void intersectTablesWithTable(TypeIds& heres, TypeId there); void intersectTables(TypeIds& heres, const TypeIds& theres); std::optional intersectionOfFunctions(TypeId here, TypeId there); void intersectFunctionsWithFunction(NormalizedFunctionType& heress, TypeId there); void intersectFunctions(NormalizedFunctionType& heress, const NormalizedFunctionType& theress); bool intersectTyvarsWithTy(NormalizedTyvars& here, TypeId there); bool intersectNormals(NormalizedType& here, const NormalizedType& there, int ignoreSmallerTyvars = -1); bool intersectNormalWithTy(NormalizedType& here, TypeId there); bool normalizeIntersections(const std::vector& intersections, NormalizedType& outType); // Check for inhabitance bool isInhabited(TypeId ty); bool isInhabited(TypeId ty, std::unordered_set seen); bool isInhabited(const NormalizedType* norm, std::unordered_set seen = {}); // Check for intersections being inhabited bool isIntersectionInhabited(TypeId left, TypeId right); // -------- Convert back from a normalized type to a type TypeId typeFromNormal(const NormalizedType& norm); }; } // namespace Luau