// Copyright (c) 2014, the Dart project authors. Please see the AUTHORS file
// for details. All rights reserved. Use of this source code is governed by a
// BSD-style license that can be found in the LICENSE file.

/// Defines the type model. The type model is part of the
/// [element model](../dart_element_element/dart_element_element-library.html)
/// in that most types are defined by Dart code (the types `dynamic` and `void`
/// being the notable exceptions). All types are represented by an instance of a
/// subclass of [DartType].
///
/// Other than `dynamic` and `void`, all of the types define either the
/// interface defined by a class (an instance of [InterfaceType]) or the type of
/// a function (an instance of [FunctionType]).
///
/// We make a distinction between the declaration of a class (a [ClassElement])
/// and the type defined by that class (an [InterfaceType]). The biggest reason
/// for the distinction is to allow us to more cleanly represent the distinction
/// between type parameters and type arguments. For example, if we define a
/// class as `class Pair<K, V> {}`, the declarations of `K` and `V` represent
/// type parameters. But if we declare a variable as `Pair<String, int> pair;`
/// the references to `String` and `int` are type arguments.
import 'package:analyzer/dart/element/element.dart';
import 'package:analyzer/src/dart/element/type.dart' show InterfaceTypeImpl;
import 'package:analyzer/src/generated/type_system.dart' show TypeSystem;

/// The type associated with elements in the element model.
///
/// Clients may not extend, implement or mix-in this class.
abstract class DartType {
  /// Return the name of this type as it should appear when presented to users
  /// in contexts such as error messages.
  String get displayName;

  /// Return the element representing the declaration of this type, or `null` if
  /// the type has not, or cannot, be associated with an element. The former
  /// case will occur if the element model is not yet complete; the latter case
  /// will occur if this object represents an undefined type.
  Element get element;

  /// Return `true` if this type represents the bottom type.
  bool get isBottom;

  /// Return `true` if this type represents the type 'Future' defined in the
  /// dart:async library.
  bool get isDartAsyncFuture;

  /// Return `true` if this type represents the type 'FutureOr<T>' defined in
  /// the dart:async library.
  bool get isDartAsyncFutureOr;

  /// Return `true` if this type represents the type 'bool' defined in the
  /// dart:core library.
  bool get isDartCoreBool;

  /// Return `true` if this type represents the type 'double' defined in the
  /// dart:core library.
  bool get isDartCoreDouble;

  /// Return `true` if this type represents the type 'Function' defined in the
  /// dart:core library.
  bool get isDartCoreFunction;

  /// Return `true` if this type represents the type 'int' defined in the
  /// dart:core library.
  bool get isDartCoreInt;

  /// Return `true` if this type represents the type 'Null' defined in the
  /// dart:core library.
  bool get isDartCoreNull;

  /// Return `true` if this type represents the type 'String' defined in the
  /// dart:core library.
  bool get isDartCoreString;

  /// Return `true` if this type represents the type 'dynamic'.
  bool get isDynamic;

  /// Return `true` if this type represents the type 'Object'.
  bool get isObject;

  /// Return `true` if this type represents a typename that couldn't be
  /// resolved.
  bool get isUndefined;

  /// Return `true` if this type represents the type 'void'.
  bool get isVoid;

  /// Return the name of this type, or `null` if the type does not have a name,
  /// such as when the type represents the type of an unnamed function.
  String get name;

  /// Implements the function "flatten" defined in the spec, where T is this
  /// type:
  ///
  ///     If T = Future<S> then flatten(T) = flatten(S).
  ///
  ///     Otherwise if T <: Future then let S be a type such that T << Future<S>
  ///     and for all R, if T << Future<R> then S << R.  Then flatten(T) = S.
  ///
  ///     In any other circumstance, flatten(T) = T.
  DartType flattenFutures(TypeSystem typeSystem);

  /// Return `true` if this type is assignable to the given [type]. A type
  /// <i>T</i> may be assigned to a type <i>S</i>, written <i>T</i> &hArr;
  /// <i>S</i>, iff either <i>T</i> <: <i>S</i> or <i>S</i> <: <i>T</i>.
  bool isAssignableTo(DartType type);

  /// Indicates whether `this` represents a type that is equivalent to `dest`.
  ///
  /// This is different from `operator==`.  Consider for example:
  ///
  ///     typedef void F<T>(); // T not used!
  ///
  /// `operator==` would consider F<int> and F<bool> to be different types;
  /// `isEquivalentTo` considers them to be equivalent.
  bool isEquivalentTo(DartType dest);

  /// Return `true` if this type is more specific than the given [type].
  bool isMoreSpecificThan(DartType type);

  /// Return `true` if this type is a subtype of the given [type].
  bool isSubtypeOf(DartType type);

  /// Return `true` if this type is a supertype of the given [type]. A type
  /// <i>S</i> is a supertype of <i>T</i>, written <i>S</i> :> <i>T</i>, iff
  /// <i>T</i> is a subtype of <i>S</i>.
  bool isSupertypeOf(DartType type);

  /// If this type is a [TypeParameterType], returns its bound if it has one, or
  /// [objectType] otherwise.
  ///
  /// For any other type, returns `this`. Applies recursively -- if the bound is
  /// itself a type parameter, that is resolved too.
  DartType resolveToBound(DartType objectType);

  /// Return the type resulting from substituting the given [argumentTypes] for
  /// the given [parameterTypes] in this type. The specification defines this
  /// operation in section 2:
  /// <blockquote>
  /// The notation <i>[x<sub>1</sub>, ..., x<sub>n</sub>/y<sub>1</sub>, ...,
  /// y<sub>n</sub>]E</i> denotes a copy of <i>E</i> in which all occurrences of
  /// <i>y<sub>i</sub>, 1 <= i <= n</i> have been replaced with
  /// <i>x<sub>i</sub></i>.
  /// </blockquote>
  /// Note that, contrary to the specification, this method will not create a
  /// copy of this type if no substitutions were required, but will return this
  /// type directly.
  ///
  /// Note too that the current implementation of this method is only guaranteed
  /// to work when the parameter types are type variables.
  DartType substitute2(
      List<DartType> argumentTypes, List<DartType> parameterTypes);
}

/// The type of a function, method, constructor, getter, or setter. Function
/// types come in three variations:
///
/// * The types of functions that only have required parameters. These have the
///   general form <i>(T<sub>1</sub>, &hellip;, T<sub>n</sub>) &rarr; T</i>.
/// * The types of functions with optional positional parameters. These have the
///   general form <i>(T<sub>1</sub>, &hellip;, T<sub>n</sub>, [T<sub>n+1</sub>
///   &hellip;, T<sub>n+k</sub>]) &rarr; T</i>.
/// * The types of functions with named parameters. These have the general form
///   <i>(T<sub>1</sub>, &hellip;, T<sub>n</sub>, {T<sub>x1</sub> x1, &hellip;,
///   T<sub>xk</sub> xk}) &rarr; T</i>.
///
/// Clients may not extend, implement or mix-in this class.
abstract class FunctionType implements ParameterizedType {
  /// Deprecated: use [typeFormals].
  @deprecated
  List<TypeParameterElement> get boundTypeParameters;

  /// Return a map from the names of named parameters to the types of the named
  /// parameters of this type of function. The entries in the map will be
  /// iterated in the same order as the order in which the named parameters were
  /// defined. If there were no named parameters declared then the map will be
  /// empty.
  Map<String, DartType> get namedParameterTypes;

  /// The names of the required positional parameters of this type of function,
  /// in the order that the parameters appear.
  List<String> get normalParameterNames;

  /// Return a list containing the types of the normal parameters of this type
  /// of function. The parameter types are in the same order as they appear in
  /// the declaration of the function.
  List<DartType> get normalParameterTypes;

  /// The names of the optional positional parameters of this type of function,
  /// in the order that the parameters appear.
  List<String> get optionalParameterNames;

  /// Return a map from the names of optional (positional) parameters to the
  /// types of the optional parameters of this type of function. The entries in
  /// the map will be iterated in the same order as the order in which the
  /// optional parameters were defined. If there were no optional parameters
  /// declared then the map will be empty.
  List<DartType> get optionalParameterTypes;

  /// Return a list containing the parameters elements of this type of function.
  /// The parameter types are in the same order as they appear in the
  /// declaration of the function.
  List<ParameterElement> get parameters;

  /// Return the type of object returned by this type of function.
  DartType get returnType;

  /// The formal type parameters of this generic function.
  /// For example `<T> T -> T`.
  ///
  /// These are distinct from the [typeParameters] list, which contains type
  /// parameters from surrounding contexts, and thus are free type variables
  /// from the perspective of this function type.
  List<TypeParameterElement> get typeFormals;

  @override
  FunctionType instantiate(List<DartType> argumentTypes);

  /// Return `true` if this type is a subtype of the given [type].
  ///
  /// A function type <i>(T<sub>1</sub>, &hellip;, T<sub>n</sub>) &rarr; T</i>
  /// is a subtype of the function type <i>(S<sub>1</sub>, &hellip;,
  /// S<sub>n</sub>) &rarr; S</i>, if all of the following conditions are met:
  ///
  /// * Either
  ///   * <i>S</i> is void, or
  ///   * <i>T &hArr; S</i>.
  ///
  /// * For all <i>i</i>, 1 <= <i>i</i> <= <i>n</i>, <i>T<sub>i</sub> &hArr;
  ///   S<sub>i</sub></i>.
  ///
  /// A function type <i>(T<sub>1</sub>, &hellip;, T<sub>n</sub>,
  /// [T<sub>n+1</sub>, &hellip;, T<sub>n+k</sub>]) &rarr; T</i> is a subtype of
  /// the function type <i>(S<sub>1</sub>, &hellip;, S<sub>n</sub>,
  /// [S<sub>n+1</sub>, &hellip;, S<sub>n+m</sub>]) &rarr; S</i>, if all of the
  /// following conditions are met:
  ///
  /// * Either
  ///   * <i>S</i> is void, or
  ///   * <i>T &hArr; S</i>.
  ///
  /// * <i>k</i> >= <i>m</i> and for all <i>i</i>, 1 <= <i>i</i> <= <i>n+m</i>,
  ///   <i>T<sub>i</sub> &hArr; S<sub>i</sub></i>.
  ///
  /// A function type <i>(T<sub>1</sub>, &hellip;, T<sub>n</sub>,
  /// {T<sub>x1</sub> x1, &hellip;, T<sub>xk</sub> xk}) &rarr; T</i> is a
  /// subtype of the function type <i>(S<sub>1</sub>, &hellip;, S<sub>n</sub>,
  /// {S<sub>y1</sub> y1, &hellip;, S<sub>ym</sub> ym}) &rarr; S</i>, if all of
  /// the following conditions are met:
  /// * Either
  ///   * <i>S</i> is void,
  ///   * or <i>T &hArr; S</i>.
  ///
  /// * For all <i>i</i>, 1 <= <i>i</i> <= <i>n</i>, <i>T<sub>i</sub> &hArr;
  ///   S<sub>i</sub></i>.
  /// * <i>k</i> >= <i>m</i> and <i>y<sub>i</sub></i> in <i>{x<sub>1</sub>,
  ///   &hellip;, x<sub>k</sub>}</i>, 1 <= <i>i</i> <= <i>m</i>.
  /// * For all <i>y<sub>i</sub></i> in <i>{y<sub>1</sub>, &hellip;,
  ///   y<sub>m</sub>}</i>, <i>y<sub>i</sub> = x<sub>j</sub> => Tj &hArr;
  ///   Si</i>.
  ///
  /// In addition, the following subtype rules apply:
  ///
  /// <i>(T<sub>1</sub>, &hellip;, T<sub>n</sub>, []) &rarr; T <:
  /// (T<sub>1</sub>, &hellip;, T<sub>n</sub>) &rarr; T.</i><br>
  /// <i>(T<sub>1</sub>, &hellip;, T<sub>n</sub>) &rarr; T <: (T<sub>1</sub>,
  /// &hellip;, T<sub>n</sub>, {}) &rarr; T.</i><br>
  /// <i>(T<sub>1</sub>, &hellip;, T<sub>n</sub>, {}) &rarr; T <:
  /// (T<sub>1</sub>, &hellip;, T<sub>n</sub>) &rarr; T.</i><br>
  /// <i>(T<sub>1</sub>, &hellip;, T<sub>n</sub>) &rarr; T <: (T<sub>1</sub>,
  /// &hellip;, T<sub>n</sub>, []) &rarr; T.</i>
  ///
  /// All functions implement the class `Function`. However not all function
  /// types are a subtype of `Function`. If an interface type <i>I</i> includes
  /// a method named `call()`, and the type of `call()` is the function type
  /// <i>F</i>, then <i>I</i> is considered to be a subtype of <i>F</i>.
  @override
  bool isSubtypeOf(DartType type);

  @override
  FunctionType substitute2(
      List<DartType> argumentTypes, List<DartType> parameterTypes);

  /// Return the type resulting from substituting the given [argumentTypes] for
  /// this type's parameters. This is fully equivalent to
  /// `substitute(argumentTypes, getTypeArguments())`.
  @deprecated // use instantiate
  FunctionType substitute3(List<DartType> argumentTypes);
}

/// The type introduced by either a class or an interface, or a reference to
/// such a type.
///
/// Clients may not extend, implement or mix-in this class.
abstract class InterfaceType implements ParameterizedType {
  /// Return a list containing all of the accessors (getters and setters)
  /// declared in this type.
  List<PropertyAccessorElement> get accessors;

  /// Return a list containing all of the constructors declared in this type.
  List<ConstructorElement> get constructors;

  @override
  ClassElement get element;

  /// Return a list containing all of the interfaces that are implemented by
  /// this interface. Note that this is <b>not</b>, in general, equivalent to
  /// getting the interfaces from this type's element because the types returned
  /// by this method will have had their type parameters replaced.
  List<InterfaceType> get interfaces;

  /// Return a list containing all of the methods declared in this type.
  List<MethodElement> get methods;

  /// Return a list containing all of the mixins that are applied to the class
  /// being extended in order to derive the superclass of this class. Note that
  /// this is <b>not</b>, in general, equivalent to getting the mixins from this
  /// type's element because the types returned by this method will have had
  /// their type parameters replaced.
  List<InterfaceType> get mixins;

  /// Return the type representing the superclass of this type, or null if this
  /// type represents the class 'Object'. Note that this is <b>not</b>, in
  /// general, equivalent to getting the superclass from this type's element
  /// because the type returned by this method will have had it's type
  /// parameters replaced.
  InterfaceType get superclass;

  /// Return a list containing all of the super-class constraints that this
  /// mixin declaration declares. The list will be empty if this class does not
  /// represent a mixin declaration.
  List<InterfaceType> get superclassConstraints;

  /// Return the element representing the getter with the given [name] that is
  /// declared in this class, or `null` if this class does not declare a getter
  /// with the given name.
  PropertyAccessorElement getGetter(String name);

  /// Return the element representing the method with the given [name] that is
  /// declared in this class, or `null` if this class does not declare a method
  /// with the given name.
  MethodElement getMethod(String name);

  /// Return the element representing the setter with the given [name] that is
  /// declared in this class, or `null` if this class does not declare a setter
  /// with the given name.
  PropertyAccessorElement getSetter(String name);

  @override
  InterfaceType instantiate(List<DartType> argumentTypes);

  /// Return `true` if this type is a direct supertype of the given [type]. The
  /// implicit interface of class <i>I</i> is a direct supertype of the implicit
  /// interface of class <i>J</i> iff:
  ///
  /// * <i>I</i> is Object, and <i>J</i> has no extends clause.
  /// * <i>I</i> is listed in the extends clause of <i>J</i>.
  /// * <i>I</i> is listed in the implements clause of <i>J</i>.
  /// * <i>I</i> is listed in the with clause of <i>J</i>.
  /// * <i>J</i> is a mixin application of the mixin of <i>I</i>.
  bool isDirectSupertypeOf(InterfaceType type);

  /// Return `true` if this type is more specific than the given [type]. An
  /// interface type <i>T</i> is more specific than an interface type <i>S</i>,
  /// written <i>T &laquo; S</i>, if one of the following conditions is met:
  ///
  /// * Reflexivity: <i>T</i> is <i>S</i>.
  /// * <i>T</i> is bottom.
  /// * <i>S</i> is dynamic.
  /// * Direct supertype: <i>S</i> is a direct supertype of <i>T</i>.
  /// * <i>T</i> is a type parameter and <i>S</i> is the upper bound of
  /// <i>T</i>.
  /// * Covariance: <i>T</i> is of the form <i>I&lt;T<sub>1</sub>, &hellip;,
  ///   T<sub>n</sub>&gt;</i> and S</i> is of the form <i>I&lt;S<sub>1</sub>,
  ///   &hellip;, S<sub>n</sub>&gt;</i> and <i>T<sub>i</sub> &laquo;
  ///   S<sub>i</sub></i>, <i>1 <= i <= n</i>.
  /// * Transitivity: <i>T &laquo; U</i> and <i>U &laquo; S</i>.
  @override
  bool isMoreSpecificThan(DartType type);

  /// Return `true` if this type is a subtype of the given [type]. An interface
  /// type <i>T</i> is a subtype of an interface type <i>S</i>, written <i>T</i>
  /// <: <i>S</i>, iff <i>[bottom/dynamic]T</i> &laquo; <i>S</i> (<i>T</i> is
  /// more specific than <i>S</i>). If an interface type <i>I</i> includes a
  /// method named <i>call()</i>, and the type of <i>call()</i> is the function
  /// type <i>F</i>, then <i>I</i> is considered to be a subtype of <i>F</i>.
  @override
  bool isSubtypeOf(DartType type);

  /// Return the element representing the constructor that results from looking
  /// up the constructor with the given [name] in this class with respect to the
  /// given [library], or `null` if the look up fails. The behavior of this
  /// method is defined by the Dart Language Specification in section 12.11.1:
  /// <blockquote>
  /// If <i>e</i> is of the form <b>new</b> <i>T.id()</i> then let <i>q<i> be
  /// the constructor <i>T.id</i>, otherwise let <i>q<i> be the constructor
  /// <i>T<i>. Otherwise, if <i>q</i> is not defined or not accessible, a
  /// NoSuchMethodException is thrown.
  /// </blockquote>
  ConstructorElement lookUpConstructor(String name, LibraryElement library);

  /// Return the element representing the getter that results from looking up
  /// the getter with the given [name] in this class with respect to the given
  /// [library], or `null` if the look up fails. The behavior of this method is
  /// defined by the Dart Language Specification in section 12.15.1:
  /// <blockquote>
  /// The result of looking up getter (respectively setter) <i>m</i> in class
  /// <i>C</i> with respect to library <i>L</i> is:
  /// * If <i>C</i> declares an instance getter (respectively setter) named
  ///   <i>m</i> that is accessible to <i>L</i>, then that getter (respectively
  ///   setter) is the result of the lookup. Otherwise, if <i>C</i> has a
  ///   superclass <i>S</i>, then the result of the lookup is the result of
  ///   looking up getter (respectively setter) <i>m</i> in <i>S</i> with
  ///   respect to <i>L</i>. Otherwise, we say that the lookup has failed.
  /// </blockquote>
  PropertyAccessorElement lookUpGetter(String name, LibraryElement library);

  /// Return the element representing the getter that results from looking up
  /// the getter with the given [name] in the superclass of this class with
  /// respect to the given [library], or `null` if the look up fails. The
  /// behavior of this method is defined by the Dart Language Specification in
  /// section 12.15.1:
  /// <blockquote>
  /// The result of looking up getter (respectively setter) <i>m</i> in class
  /// <i>C</i> with respect to library <i>L</i> is:
  /// * If <i>C</i> declares an instance getter (respectively setter) named
  ///   <i>m</i> that is accessible to <i>L</i>, then that getter (respectively
  ///   setter) is the result of the lookup. Otherwise, if <i>C</i> has a
  ///   superclass <i>S</i>, then the result of the lookup is the result of
  ///   looking up getter (respectively setter) <i>m</i> in <i>S</i> with
  ///   respect to <i>L</i>. Otherwise, we say that the lookup has failed.
  /// </blockquote>
  PropertyAccessorElement lookUpGetterInSuperclass(
      String name, LibraryElement library);

  /// Look up the member with the given [name] in this type and all extended
  /// and mixed in classes, and by default including [thisType]. If the search
  /// fails, this will then search interfaces.
  ///
  /// Return the element representing the member that was found, or `null` if
  /// there is no getter with the given name.
  ///
  /// The [library] determines if a private member name is visible, and does not
  /// need to be supplied for public names.
  PropertyAccessorElement lookUpInheritedGetter(String name,
      {LibraryElement library, bool thisType: true});

  /// Look up the member with the given [name] in this type and all extended
  /// and mixed in classes, starting from this type. If the search fails,
  /// search interfaces.
  ///
  /// Return the element representing the member that was found, or `null` if
  /// there is no getter with the given name.
  ///
  /// The [library] determines if a private member name is visible, and does not
  /// need to be supplied for public names.
  ExecutableElement lookUpInheritedGetterOrMethod(String name,
      {LibraryElement library});

  /// Look up the member with the given [name] in this type and all extended
  /// and mixed in classes, and by default including [thisType]. If the search
  /// fails, this will then search interfaces.
  ///
  /// Return the element representing the member that was found, or `null` if
  /// there is no getter with the given name.
  ///
  /// The [library] determines if a private member name is visible, and does not
  /// need to be supplied for public names.
  MethodElement lookUpInheritedMethod(String name,
      {LibraryElement library, bool thisType: true});

  /// Look up the member with the given [name] in this type and all extended
  /// and mixed in classes, and by default including [thisType]. If the search
  /// fails, this will then search interfaces.
  ///
  /// Return the element representing the member that was found, or `null` if
  /// there is no getter with the given name.
  ///
  /// The [library] determines if a private member name is visible, and does not
  /// need to be supplied for public names.
  PropertyAccessorElement lookUpInheritedSetter(String name,
      {LibraryElement library, bool thisType: true});

  /// Return the element representing the method that results from looking up
  /// the method with the given [name] in this class with respect to the given
  /// [library], or `null` if the look up fails. The behavior of this method is
  /// defined by the Dart Language Specification in section 12.15.1:
  /// <blockquote>
  /// The result of looking up method <i>m</i> in class <i>C</i> with respect to
  /// library <i>L</i> is:
  /// * If <i>C</i> declares an instance method named <i>m</i> that is
  ///   accessible to <i>L</i>, then that method is the result of the lookup.
  ///   Otherwise, if <i>C</i> has a superclass <i>S</i>, then the result of the
  ///   lookup is the result of looking up method <i>m</i> in <i>S</i> with
  ///   respect to <i>L</i> Otherwise, we say that the lookup has failed.
  /// </blockquote>
  MethodElement lookUpMethod(String name, LibraryElement library);

  /// Return the element representing the method that results from looking up
  /// the method with the given [name] in the superclass of this class with
  /// respect to the given [library], or `null` if the look up fails. The
  /// behavior of this method is defined by the Dart Language Specification in
  /// section 12.15.1:
  /// <blockquote>
  /// The result of looking up method <i>m</i> in class <i>C</i> with respect to
  /// library <i>L</i> is:
  /// * If <i>C</i> declares an instance method named <i>m</i> that is
  ///   accessible to <i>L</i>, then that method is the result of the lookup.
  ///   Otherwise, if <i>C</i> has a superclass <i>S</i>, then the result of the
  /// * lookup is the result of looking up method <i>m</i> in <i>S</i> with
  ///   respect to <i>L</i>.
  /// * Otherwise, we say that the lookup has failed.
  /// </blockquote>
  MethodElement lookUpMethodInSuperclass(String name, LibraryElement library);

  /// Return the element representing the setter that results from looking up
  /// the setter with the given [name] in this class with respect to the given
  /// [library], or `null` if the look up fails. The behavior of this method is
  /// defined by the Dart Language Specification in section 12.16:
  /// <blockquote>
  /// The result of looking up getter (respectively setter) <i>m</i> in class
  /// <i>C</i> with respect to library <i>L</i> is:
  /// * If <i>C</i> declares an instance getter (respectively setter) named
  ///   <i>m</i> that is accessible to <i>L</i>, then that getter (respectively
  ///   setter) is the result of the lookup. Otherwise, if <i>C</i> has a
  ///   superclass <i>S</i>, then the result of the lookup is the result of
  ///   looking up getter (respectively setter) <i>m</i> in <i>S</i> with
  ///   respect to <i>L</i>. Otherwise, we say that the lookup has failed.
  /// </blockquote>
  PropertyAccessorElement lookUpSetter(String name, LibraryElement library);

  /// Return the element representing the setter that results from looking up
  /// the setter with the given [name] in the superclass of this class with
  /// respect to the given [library], or `null` if the look up fails. The
  /// behavior of this method is defined by the Dart Language Specification in
  /// section 12.16:
  /// <blockquote>
  /// The result of looking up getter (respectively setter) <i>m</i> in class
  /// <i>C</i> with respect to library <i>L</i> is:
  /// * If <i>C</i> declares an instance getter (respectively setter) named
  ///   <i>m</i> that is accessible to <i>L</i>, then that getter (respectively
  ///   setter) is the result of the lookup. Otherwise, if <i>C</i> has a
  ///   superclass <i>S</i>, then the result of the lookup is the result of
  ///   looking up getter (respectively setter) <i>m</i> in <i>S</i> with
  ///   respect to <i>L</i>. Otherwise, we say that the lookup has failed.
  /// </blockquote>
  PropertyAccessorElement lookUpSetterInSuperclass(
      String name, LibraryElement library);

  @override
  InterfaceType substitute2(
      List<DartType> argumentTypes, List<DartType> parameterTypes);

  /// Return the type resulting from substituting the given arguments for this
  /// type's parameters. This is fully equivalent to `substitute2(argumentTypes,
  /// getTypeArguments())`.
  @deprecated // use instantiate
  InterfaceType substitute4(List<DartType> argumentTypes);

  /// Returns a "smart" version of the "least upper bound" of the given types.
  ///
  /// If these types have the same element and differ only in terms of the type
  /// arguments, attempts to find a compatible set of type arguments.
  ///
  /// Otherwise, returns the same result as [DartType.getLeastUpperBound].
  // TODO(brianwilkerson) This needs to be deprecated and moved to TypeSystem.
  static InterfaceType getSmartLeastUpperBound(
          InterfaceType first, InterfaceType second) =>
      InterfaceTypeImpl.getSmartLeastUpperBound(first, second);
}

/// A type that can track substituted type parameters, either for itself after
/// instantiation, or from a surrounding context.
///
/// For example, given a class `Foo<T>`, after instantiation with S for T, it
/// will track the substitution `{S/T}`.
///
/// This substitution will be propagated to its members. For example, say our
/// `Foo<T>` class has a field `T bar;`. When we look up this field, we will get
/// back a [FieldElement] that tracks the substituted type as `{S/T}T`, so when
/// we ask for the field type we will get `S`.
///
/// Clients may not extend, implement or mix-in this class.
abstract class ParameterizedType implements DartType {
  /// Return a list containing the actual types of the type arguments. If this
  /// type's element does not have type parameters, then the array should be
  /// empty (although it is possible for type arguments to be erroneously
  /// declared). If the element has type parameters and the actual type does not
  /// explicitly include argument values, then the type "dynamic" will be
  /// automatically provided.
  List<DartType> get typeArguments;

  /// Return a list containing all of the type parameters declared for this
  /// type.
  List<TypeParameterElement> get typeParameters;

  /// Return the type resulting from instantiating (replacing) the given
  /// [argumentTypes] for this type's bound type parameters.
  ParameterizedType instantiate(List<DartType> argumentTypes);
}

/// The type introduced by a type parameter.
///
/// Clients may not extend, implement or mix-in this class.
abstract class TypeParameterType implements DartType {
  /// Return the type representing the bound associated with this parameter,
  /// or `dynamic` if there was no explicit bound.
  DartType get bound;

  /// An object that can be used to identify this type parameter with `==`.
  ///
  /// Depending on the use, [bound] may also need to be taken into account.
  /// A given type parameter, it may have different bounds in different scopes.
  /// Always consult the bound if that could be relevant.
  ElementLocation get definition;

  @override
  TypeParameterElement get element;
}