// Copyright (c) 2020, 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.

import 'dart:math' as math;

import 'package:analyzer/dart/ast/ast.dart'
    show
        Annotation,
        AsExpression,
        AstNode,
        ConstructorName,
        Expression,
        InvocationExpression,
        SimpleIdentifier;
import 'package:analyzer/dart/element/element.dart';
import 'package:analyzer/dart/element/type.dart';
import 'package:analyzer/error/listener.dart' show ErrorReporter;
import 'package:analyzer/src/dart/element/element.dart';
import 'package:analyzer/src/dart/element/nullability_eliminator.dart';
import 'package:analyzer/src/dart/element/type.dart';
import 'package:analyzer/src/dart/element/type_algebra.dart';
import 'package:analyzer/src/dart/element/type_constraint_gatherer.dart';
import 'package:analyzer/src/dart/element/type_provider.dart';
import 'package:analyzer/src/dart/element/type_schema.dart';
import 'package:analyzer/src/dart/element/type_system.dart';
import 'package:analyzer/src/error/codes.dart'
    show CompileTimeErrorCode, HintCode;
import 'package:meta/meta.dart';

/// Tracks upper and lower type bounds for a set of type parameters.
///
/// This class is used by calling [isSubtypeOf]. When it encounters one of
/// the type parameters it is inferring, it will record the constraint, and
/// optimistically assume the constraint will be satisfied.
///
/// For example if we are inferring type parameter A, and we ask if
/// `A <: num`, this will record that A must be a subytpe of `num`. It also
/// handles cases when A appears as part of the structure of another type, for
/// example `Iterable<A> <: Iterable<num>` would infer the same constraint
/// (due to covariant generic types) as would `() -> A <: () -> num`. In
/// contrast `(A) -> void <: (num) -> void`.
///
/// Once the lower/upper bounds are determined, [infer] should be called to
/// finish the inference. It will instantiate a generic function type with the
/// inferred types for each type parameter.
///
/// It can also optionally compute a partial solution, in case some of the type
/// parameters could not be inferred (because the constraints cannot be
/// satisfied), or bail on the inference when this happens.
///
/// As currently designed, an instance of this class should only be used to
/// infer a single call and discarded immediately afterwards.
class GenericInferrer {
  final TypeSystemImpl _typeSystem;
  final Set<TypeParameterElement> _typeParameters = Set.identity();
  final Map<TypeParameterElement, List<_TypeConstraint>> _constraints = {};

  /// The list of type parameters being inferred.
  final List<TypeParameterElement> _typeFormals;

  /// Indicates whether type parameter bounds should be included in constraints.
  final bool considerExtendsClause;

  /// The [ErrorReporter] to which inference errors should be reported, or
  /// `null` if errors shouldn't be reported.
  final ErrorReporter? errorReporter;

  /// The [AstNode] to which errors should be attached.  May be `null` if errors
  /// are not being reported (that is, if [errorReporter] is also `null`).
  final AstNode? errorNode;

  /// Indicates whether the "generic metadata" feature is enabled.  When it is,
  /// type arguments are allowed to be instantiated with generic function types.
  final bool genericMetadataIsEnabled;

  GenericInferrer(this._typeSystem, this._typeFormals,
      {this.considerExtendsClause = true,
      this.errorReporter,
      this.errorNode,
      required this.genericMetadataIsEnabled}) {
    if (errorReporter != null) {
      assert(errorNode != null);
    }
    _typeParameters.addAll(_typeFormals);
    for (var formal in _typeFormals) {
      _constraints[formal] = [];
    }
  }

  bool get isNonNullableByDefault => _typeSystem.isNonNullableByDefault;

  TypeProviderImpl get typeProvider => _typeSystem.typeProvider;

  /// Apply an argument constraint, which asserts that the [argument] staticType
  /// is a subtype of the [parameterType].
  void constrainArgument(
      DartType argumentType, DartType parameterType, String parameterName,
      {ClassElement? genericClass}) {
    var origin = _TypeConstraintFromArgument(
      argumentType,
      parameterType,
      parameterName,
      genericClass: genericClass,
      isNonNullableByDefault: isNonNullableByDefault,
    );
    tryMatchSubtypeOf(argumentType, parameterType, origin, covariant: false);
  }

  /// Applies all the argument constraints implied by [parameters] and
  /// [argumentTypes].
  void constrainArguments(
      {ClassElement? genericClass,
      required List<ParameterElement> parameters,
      required List<DartType> argumentTypes}) {
    for (int i = 0; i < argumentTypes.length; i++) {
      // Try to pass each argument to each parameter, recording any type
      // parameter bounds that were implied by this assignment.
      constrainArgument(
        argumentTypes[i],
        parameters[i].type,
        parameters[i].name,
        genericClass: genericClass,
      );
    }
  }

  /// Constrain a universal function type [fnType] used in a context
  /// [contextType].
  void constrainGenericFunctionInContext(
      FunctionType fnType, DartType contextType) {
    var origin = _TypeConstraintFromFunctionContext(
      fnType,
      contextType,
      isNonNullableByDefault: isNonNullableByDefault,
    );

    // Since we're trying to infer the instantiation, we want to ignore type
    // formals as we check the parameters and return type.
    var inferFnType = FunctionTypeImpl(
      typeFormals: const [],
      parameters: fnType.parameters,
      returnType: fnType.returnType,
      nullabilitySuffix: fnType.nullabilitySuffix,
    );
    tryMatchSubtypeOf(inferFnType, contextType, origin, covariant: true);
  }

  /// Apply a return type constraint, which asserts that the [declaredType]
  /// is a subtype of the [contextType].
  void constrainReturnType(DartType declaredType, DartType contextType) {
    var origin = _TypeConstraintFromReturnType(
      declaredType,
      contextType,
      isNonNullableByDefault: isNonNullableByDefault,
    );
    tryMatchSubtypeOf(declaredType, contextType, origin, covariant: true);
  }

  /// Performs downwards inference, producing a set of inferred types that may
  /// contain references to the "unknown type".
  List<DartType> downwardsInfer() => _chooseTypes(downwardsInferPhase: true);

  /// Tries to make [i1] a subtype of [i2] and accumulate constraints as needed.
  ///
  /// The return value indicates whether the match was successful.  If it was
  /// unsuccessful, any constraints that were accumulated during the match
  /// attempt have been rewound (see [_rewindConstraints]).
  bool tryMatchSubtypeOf(DartType t1, DartType t2, _TypeConstraintOrigin origin,
      {required bool covariant}) {
    var gatherer = TypeConstraintGatherer(
        typeSystem: _typeSystem, typeParameters: _typeParameters);
    var success = gatherer.trySubtypeMatch(t1, t2, !covariant);
    if (success) {
      var constraints = gatherer.computeConstraints();
      for (var entry in constraints.entries) {
        if (!entry.value.isEmpty) {
          var constraint = _constraints[entry.key]!;
          constraint.add(
            _TypeConstraint(origin, entry.key,
                lower: entry.value.lower, upper: entry.value.upper),
          );
        }
      }
    }

    return success;
  }

  /// Same as [upwardsInfer], but if [failAtError] is `true` (the default) and
  /// inference fails, returns `null` rather than trying to perform error
  /// recovery.
  List<DartType>? tryUpwardsInfer({bool failAtError = true}) {
    var inferredTypes = _chooseTypes(downwardsInferPhase: false);
    // Check the inferred types against all of the constraints.
    var knownTypes = <TypeParameterElement, DartType>{};
    var hasErrorReported = false;
    for (int i = 0; i < _typeFormals.length; i++) {
      TypeParameterElement parameter = _typeFormals[i];
      var constraints = _constraints[parameter]!;

      var inferred = inferredTypes[i];
      bool success =
          constraints.every((c) => c.isSatisfiedBy(_typeSystem, inferred));

      // If everything else succeeded, check the `extends` constraint.
      if (success) {
        var parameterBoundRaw = parameter.bound;
        if (parameterBoundRaw != null) {
          var parameterBound =
              Substitution.fromPairs(_typeFormals, inferredTypes)
                  .substituteType(parameterBoundRaw);
          parameterBound = _toLegacyElementIfOptOut(parameterBound);
          var extendsConstraint = _TypeConstraint.fromExtends(
            parameter,
            parameterBoundRaw,
            parameterBound,
            isNonNullableByDefault: isNonNullableByDefault,
          );
          constraints.add(extendsConstraint);
          success = extendsConstraint.isSatisfiedBy(_typeSystem, inferred);
        }
      }

      if (!success) {
        if (failAtError) return null;
        hasErrorReported = true;
        errorReporter?.reportErrorForNode(
            CompileTimeErrorCode.COULD_NOT_INFER,
            errorNode!,
            [parameter.name, _formatError(parameter, inferred, constraints)]);

        // Heuristic: even if we failed, keep the erroneous type.
        // It should satisfy at least some of the constraints (e.g. the return
        // context). If we fall back to instantiateToBounds, we'll typically get
        // more errors (e.g. because `dynamic` is the most common bound).
      }

      if (inferred is FunctionType &&
          inferred.typeFormals.isNotEmpty &&
          !genericMetadataIsEnabled &&
          errorReporter != null) {
        if (failAtError) return null;
        hasErrorReported = true;
        var typeFormals = inferred.typeFormals;
        var typeFormalsStr = typeFormals.map(_elementStr).join(', ');
        errorReporter!.reportErrorForNode(
            CompileTimeErrorCode.COULD_NOT_INFER, errorNode!, [
          parameter.name,
          ' Inferred candidate type ${_typeStr(inferred)} has type parameters'
              ' [$typeFormalsStr], but a function with'
              ' type parameters cannot be used as a type argument.'
        ]);
      }

      if (UnknownInferredType.isKnown(inferred)) {
        knownTypes[parameter] = inferred;
      } else if (_typeSystem.strictInference) {
        // [typeParam] could not be inferred. A result will still be returned
        // by [infer], with [typeParam] filled in as its bounds. This is
        // considered a failure of inference, under the "strict-inference"
        // mode.
        _reportInferenceFailure(
          errorReporter: errorReporter,
          errorNode: errorNode,
          genericMetadataIsEnabled: genericMetadataIsEnabled,
        );
      }
    }

    // Use instantiate to bounds to finish things off.
    var hasError = List<bool>.filled(_typeFormals.length, false);
    var result = _typeSystem.instantiateTypeFormalsToBounds(_typeFormals,
        hasError: hasError, knownTypes: knownTypes);

    // Report any errors from instantiateToBounds.
    for (int i = 0; i < hasError.length; i++) {
      if (hasError[i]) {
        if (failAtError) return null;
        hasErrorReported = true;
        TypeParameterElement typeParam = _typeFormals[i];
        var typeParamBound = Substitution.fromPairs(_typeFormals, inferredTypes)
            .substituteType(typeParam.bound ?? typeProvider.objectType);
        // TODO(jmesserly): improve this error message.
        errorReporter?.reportErrorForNode(
            CompileTimeErrorCode.COULD_NOT_INFER, errorNode!, [
          typeParam.name,
          "\nRecursive bound cannot be instantiated: '$typeParamBound'."
              "\nConsider passing explicit type argument(s) "
              "to the generic.\n\n'"
        ]);
      }
    }

    if (!hasErrorReported) {
      _checkArgumentsNotMatchingBounds(
        errorNode: errorNode,
        errorReporter: errorReporter,
        typeArguments: result,
      );
    }

    _nonNullifyTypes(result);
    return result;
  }

  /// Performs upwards inference, producing a final set of inferred types that
  /// does not  contain references to the "unknown type".
  List<DartType> upwardsInfer() => tryUpwardsInfer(failAtError: false)!;

  /// Check that inferred [typeArguments] satisfy the [typeParameters] bounds.
  void _checkArgumentsNotMatchingBounds({
    required AstNode? errorNode,
    required ErrorReporter? errorReporter,
    required List<DartType> typeArguments,
  }) {
    for (int i = 0; i < _typeFormals.length; i++) {
      var parameter = _typeFormals[i];
      var argument = typeArguments[i];

      var rawBound = parameter.bound;
      if (rawBound == null) {
        continue;
      }
      rawBound = _typeSystem.toLegacyTypeIfOptOut(rawBound);

      var substitution = Substitution.fromPairs(_typeFormals, typeArguments);
      var bound = substitution.substituteType(rawBound);
      if (!_typeSystem.isSubtypeOf(argument, bound)) {
        errorReporter?.reportErrorForNode(
          CompileTimeErrorCode.COULD_NOT_INFER,
          errorNode!,
          [
            parameter.name,
            "\n'${_typeStr(argument)}' doesn't conform to "
                "the bound '${_typeStr(bound)}'"
                ", instantiated from '${_typeStr(rawBound)}'"
                " using type arguments ${typeArguments.map(_typeStr).toList()}.",
          ],
        );
      }
    }
  }

  /// Choose the bound that was implied by the return type, if any.
  ///
  /// Which bound this is depends on what positions the type parameter
  /// appears in. If the type only appears only in a contravariant position,
  /// we will choose the lower bound instead.
  ///
  /// For example given:
  ///
  ///     Func1<T, bool> makeComparer<T>(T x) => (T y) => x() == y;
  ///
  ///     main() {
  ///       Func1<num, bool> t = makeComparer/* infer <num> */(42);
  ///       print(t(42.0)); /// false, no error.
  ///     }
  ///
  /// The constraints we collect are:
  ///
  /// * `num <: T`
  /// * `int <: T`
  ///
  /// ... and no upper bound. Therefore the lower bound is the best choice.
  ///
  /// If [isContravariant] is `true`, then we are solving for a contravariant
  /// type parameter which means we choose the upper bound rather than the
  /// lower bound for normally covariant type parameters.
  DartType _chooseTypeFromConstraints(Iterable<_TypeConstraint> constraints,
      {bool toKnownType = false, required bool isContravariant}) {
    DartType lower = UnknownInferredType.instance;
    DartType upper = UnknownInferredType.instance;
    for (var constraint in constraints) {
      // Given constraints:
      //
      //     L1 <: T <: U1
      //     L2 <: T <: U2
      //
      // These can be combined to produce:
      //
      //     LUB(L1, L2) <: T <: GLB(U1, U2).
      //
      // This can then be done for all constraints in sequence.
      //
      // This resulting constraint may be unsatisfiable; in that case inference
      // will fail.
      upper = _typeSystem.getGreatestLowerBound(upper, constraint.upperBound);
      lower = _typeSystem.getLeastUpperBound(lower, constraint.lowerBound);
      upper = _toLegacyElementIfOptOut(upper);
      lower = _toLegacyElementIfOptOut(lower);
    }

    // Prefer the known bound, if any.
    // Otherwise take whatever bound has partial information, e.g. `Iterable<?>`
    //
    // For both of those, prefer the lower bound (arbitrary heuristic) or upper
    // bound if [isContravariant] is `true`
    if (isContravariant) {
      if (UnknownInferredType.isKnown(upper)) {
        return upper;
      }
      if (UnknownInferredType.isKnown(lower)) {
        return lower;
      }
      if (!identical(UnknownInferredType.instance, upper)) {
        return toKnownType ? _typeSystem.greatestClosureOfSchema(upper) : upper;
      }
      if (!identical(UnknownInferredType.instance, lower)) {
        return toKnownType ? _typeSystem.leastClosureOfSchema(lower) : lower;
      }
      return upper;
    } else {
      if (UnknownInferredType.isKnown(lower)) {
        return lower;
      }
      if (UnknownInferredType.isKnown(upper)) {
        return upper;
      }
      if (!identical(UnknownInferredType.instance, lower)) {
        return toKnownType ? _typeSystem.leastClosureOfSchema(lower) : lower;
      }
      if (!identical(UnknownInferredType.instance, upper)) {
        return toKnownType ? _typeSystem.greatestClosureOfSchema(upper) : upper;
      }
      return lower;
    }
  }

  /// Computes (or recomputes) a set of [inferredTypes] based on the constraints
  /// that have been recorded so far.
  List<DartType> _chooseTypes({required bool downwardsInferPhase}) {
    var inferredTypes = List<DartType>.filled(
        _typeFormals.length, UnknownInferredType.instance);
    for (int i = 0; i < _typeFormals.length; i++) {
      // TODO (kallentu) : Clean up TypeParameterElementImpl casting once
      // variance is added to the interface.
      var typeParam = _typeFormals[i] as TypeParameterElementImpl;
      _TypeConstraint? extendsClause;
      var bound = typeParam.bound;
      if (considerExtendsClause && bound != null) {
        extendsClause = _TypeConstraint.fromExtends(
            typeParam,
            bound,
            Substitution.fromPairs(_typeFormals, inferredTypes)
                .substituteType(bound),
            isNonNullableByDefault: isNonNullableByDefault);
      }

      var constraints = _constraints[typeParam]!;
      inferredTypes[i] = downwardsInferPhase
          ? _inferTypeParameterFromContext(constraints, extendsClause,
              isContravariant: typeParam.variance.isContravariant)
          : _inferTypeParameterFromAll(constraints, extendsClause,
              isContravariant: typeParam.variance.isContravariant,
              preferUpwardsInference: !typeParam.isLegacyCovariant);
    }

    return inferredTypes;
  }

  String _elementStr(Element element) {
    return element.getDisplayString(withNullability: isNonNullableByDefault);
  }

  String _formatError(TypeParameterElement typeParam, DartType inferred,
      Iterable<_TypeConstraint> constraints) {
    var inferredStr = inferred.getDisplayString(
      withNullability: isNonNullableByDefault,
    );
    var intro = "Tried to infer '$inferredStr' for '${typeParam.name}'"
        " which doesn't work:";

    var constraintsByOrigin = <_TypeConstraintOrigin, List<_TypeConstraint>>{};
    for (var c in constraints) {
      constraintsByOrigin.putIfAbsent(c.origin, () => []).add(c);
    }

    // Only report unique constraint origins.
    Iterable<_TypeConstraint> isSatisified(bool expected) => constraintsByOrigin
        .values
        .where((l) =>
            l.every((c) => c.isSatisfiedBy(_typeSystem, inferred)) == expected)
        .expand((i) => i);

    String unsatisified = _formatConstraints(isSatisified(false));
    String satisified = _formatConstraints(isSatisified(true));

    assert(unsatisified.isNotEmpty);
    if (satisified.isNotEmpty) {
      satisified = "\nThe type '$inferredStr' was inferred from:\n$satisified";
    }

    return '\n\n$intro\n$unsatisified$satisified\n\n'
        'Consider passing explicit type argument(s) to the generic.\n\n';
  }

  DartType _inferTypeParameterFromAll(
      List<_TypeConstraint> constraints, _TypeConstraint? extendsClause,
      {required bool isContravariant, required bool preferUpwardsInference}) {
    // See if we already fixed this type from downwards inference.
    // If so, then we aren't allowed to change it based on argument types unless
    // [preferUpwardsInference] is true.
    DartType t = _inferTypeParameterFromContext(
        constraints.where((c) => c.isDownwards), extendsClause,
        isContravariant: isContravariant);
    if (!preferUpwardsInference && UnknownInferredType.isKnown(t)) {
      // Remove constraints that aren't downward ones; we'll ignore these for
      // error reporting, because inference already succeeded.
      constraints.removeWhere((c) => !c.isDownwards);
      return t;
    }

    if (extendsClause != null) {
      constraints = constraints.toList()..add(extendsClause);
    }

    var choice = _chooseTypeFromConstraints(constraints,
        toKnownType: true, isContravariant: isContravariant);
    return choice;
  }

  DartType _inferTypeParameterFromContext(
      Iterable<_TypeConstraint> constraints, _TypeConstraint? extendsClause,
      {required bool isContravariant}) {
    DartType t = _chooseTypeFromConstraints(constraints,
        isContravariant: isContravariant);
    if (UnknownInferredType.isUnknown(t)) {
      return t;
    }

    // If we're about to make our final choice, apply the extends clause.
    // This gives us a chance to refine the choice, in case it would violate
    // the `extends` clause. For example:
    //
    //     Object obj = math.min/*<infer Object, error>*/(1, 2);
    //
    // If we consider the `T extends num` we conclude `<num>`, which works.
    if (extendsClause != null) {
      constraints = constraints.toList()..add(extendsClause);
      return _chooseTypeFromConstraints(constraints,
          isContravariant: isContravariant);
    }
    return t;
  }

  void _nonNullifyTypes(List<DartType> types) {
    if (_typeSystem.isNonNullableByDefault) {
      for (var i = 0; i < types.length; i++) {
        types[i] = _typeSystem.nonNullifyLegacy(types[i]);
      }
    }
    for (var i = 0; i < types.length; i++) {
      types[i] = _typeSystem.demoteType(types[i]);
    }
  }

  /// Reports an inference failure on [errorNode] according to its type.
  void _reportInferenceFailure({
    ErrorReporter? errorReporter,
    AstNode? errorNode,
    required bool genericMetadataIsEnabled,
  }) {
    if (errorReporter == null || errorNode == null) {
      return;
    }
    if (errorNode.parent is InvocationExpression &&
        errorNode.parent?.parent is AsExpression) {
      // Casts via `as` do not play a part in downward inference. We allow an
      // exception when inference has "failed" but the return value is
      // immediately cast with `as`.
      return;
    }
    if (errorNode is ConstructorName &&
        !(errorNode.type.type as InterfaceType).element.hasOptionalTypeArgs) {
      String constructorName = errorNode.name == null
          ? errorNode.type.name.name
          : '${errorNode.type}.${errorNode.name}';
      errorReporter.reportErrorForNode(
          HintCode.INFERENCE_FAILURE_ON_INSTANCE_CREATION,
          errorNode,
          [constructorName]);
    } else if (errorNode is Annotation) {
      if (genericMetadataIsEnabled) {
        // Only report an error if generic metadata is valid syntax.
        var element = errorNode.name.staticElement;
        if (element != null && !element.hasOptionalTypeArgs) {
          String constructorName = errorNode.constructorName == null
              ? errorNode.name.name
              : '${errorNode.name.name}.${errorNode.constructorName}';
          errorReporter.reportErrorForNode(
              HintCode.INFERENCE_FAILURE_ON_INSTANCE_CREATION,
              errorNode,
              [constructorName]);
        }
      }
    } else if (errorNode is SimpleIdentifier) {
      var element = errorNode.staticElement;
      if (element != null) {
        if (element is VariableElement) {
          // For variable elements, we check their type and possible alias type.
          var type = element.type;
          var typeElement = type.element;
          if (typeElement != null && typeElement.hasOptionalTypeArgs) {
            return;
          }
          var typeAliasElement = type.alias?.element;
          if (typeAliasElement != null &&
              typeAliasElement.hasOptionalTypeArgs) {
            return;
          }
        }
        if (!element.hasOptionalTypeArgs) {
          errorReporter.reportErrorForNode(
              HintCode.INFERENCE_FAILURE_ON_FUNCTION_INVOCATION,
              errorNode,
              [errorNode.name]);
          return;
        }
      }
    } else if (errorNode is Expression) {
      var type = errorNode.staticType;
      if (type != null) {
        var typeDisplayString = type.getDisplayString(
            withNullability: _typeSystem.isNonNullableByDefault);
        errorReporter.reportErrorForNode(
            HintCode.INFERENCE_FAILURE_ON_GENERIC_INVOCATION,
            errorNode,
            [typeDisplayString]);
        return;
      }
    }
  }

  /// If in a legacy library, return the legacy version of the [type].
  /// Otherwise, return the original type.
  DartType _toLegacyElementIfOptOut(DartType type) {
    if (isNonNullableByDefault) return type;
    return NullabilityEliminator.perform(typeProvider, type);
  }

  String _typeStr(DartType type) {
    return type.getDisplayString(withNullability: isNonNullableByDefault);
  }

  static String _formatConstraints(Iterable<_TypeConstraint> constraints) {
    List<List<String>> lineParts =
        Set<_TypeConstraintOrigin>.from(constraints.map((c) => c.origin))
            .map((o) => o.formatError())
            .toList();

    int prefixMax = lineParts.map((p) => p[0].length).fold(0, math.max);

    // Use a set to prevent identical message lines.
    // (It's not uncommon for the same constraint to show up in a few places.)
    var messageLines = Set<String>.from(lineParts.map((parts) {
      var prefix = parts[0];
      var middle = parts[1];
      var prefixPad = ' ' * (prefixMax - prefix.length);
      var middlePad = ' ' * prefixMax;
      var end = "";
      if (parts.length > 2) {
        end = '\n  $middlePad ${parts[2]}';
      }
      return '  $prefix$prefixPad $middle$end';
    }));

    return messageLines.join('\n');
  }
}

/// A constraint on a type parameter that we're inferring.
class _TypeConstraint extends _TypeRange {
  /// The type parameter that is constrained by [lowerBound] or [upperBound].
  final TypeParameterElement typeParameter;

  /// Where this constraint comes from, used for error messages.
  ///
  /// See [toString].
  final _TypeConstraintOrigin origin;

  _TypeConstraint(this.origin, this.typeParameter,
      {DartType? upper, DartType? lower})
      : super(upper: upper, lower: lower);

  _TypeConstraint.fromExtends(
      TypeParameterElement element, DartType boundType, DartType extendsType,
      {required bool isNonNullableByDefault})
      : this(
            _TypeConstraintFromExtendsClause(
              element,
              boundType,
              extendsType,
              isNonNullableByDefault: isNonNullableByDefault,
            ),
            element,
            upper: extendsType);

  bool get isDownwards => origin is! _TypeConstraintFromArgument;

  bool isSatisfiedBy(TypeSystemImpl ts, DartType type) {
    return ts.isSubtypeOf(lowerBound, type) && ts.isSubtypeOf(type, upperBound);
  }

  /// Converts this constraint to a message suitable for a type inference error.
  @override
  String toString() => !identical(upperBound, UnknownInferredType.instance)
      ? "'$typeParameter' must extend '$upperBound'"
      : "'$lowerBound' must extend '$typeParameter'";
}

class _TypeConstraintFromArgument extends _TypeConstraintOrigin {
  final DartType argumentType;
  final DartType parameterType;
  final String parameterName;
  final ClassElement? genericClass;

  _TypeConstraintFromArgument(
      this.argumentType, this.parameterType, this.parameterName,
      {this.genericClass, required bool isNonNullableByDefault})
      : super(isNonNullableByDefault: isNonNullableByDefault);

  @override
  List<String> formatError() {
    // TODO(jmesserly): we should highlight the span. That would be more useful.
    // However in summary code it doesn't look like the AST node with span is
    // available.
    String prefix;
    final genericClass = this.genericClass;
    if (genericClass != null &&
        (genericClass.name == "List" || genericClass.name == "Map") &&
        genericClass.library.isDartCore == true) {
      // This will become:
      //     "List element"
      //     "Map key"
      //     "Map value"
      prefix = "${genericClass.name} $parameterName";
    } else {
      prefix = "Parameter '$parameterName'";
    }

    return [
      prefix,
      "declared as     '${_typeStr(parameterType)}'",
      "but argument is '${_typeStr(argumentType)}'."
    ];
  }
}

class _TypeConstraintFromExtendsClause extends _TypeConstraintOrigin {
  final TypeParameterElement typeParam;

  /// The declared bound of [typeParam], not `null`, because we create
  /// this clause only when it is not `null`.
  ///
  /// For example `Iterable<T>` for `<T, E extends Iterable<T>>`.
  final DartType boundType;

  /// [boundType] in which type parameters are substituted with inferred
  /// type arguments.
  ///
  /// For example `Iterable<int>` if `T` inferred to `int`.
  final DartType extendsType;

  _TypeConstraintFromExtendsClause(
      this.typeParam, this.boundType, this.extendsType,
      {required bool isNonNullableByDefault})
      : super(isNonNullableByDefault: isNonNullableByDefault);

  @override
  List<String> formatError() {
    var boundStr = _typeStr(boundType);
    var extendsStr = _typeStr(extendsType);
    return [
      "Type parameter '${typeParam.name}'",
      "is declared to extend '$boundStr' producing '$extendsStr'."
    ];
  }
}

class _TypeConstraintFromFunctionContext extends _TypeConstraintOrigin {
  final DartType contextType;
  final DartType functionType;

  _TypeConstraintFromFunctionContext(this.functionType, this.contextType,
      {required bool isNonNullableByDefault})
      : super(isNonNullableByDefault: isNonNullableByDefault);

  @override
  List<String> formatError() {
    return [
      "Function type",
      "declared as '${_typeStr(functionType)}'",
      "used where  '${_typeStr(contextType)}' is required."
    ];
  }
}

class _TypeConstraintFromReturnType extends _TypeConstraintOrigin {
  final DartType contextType;
  final DartType declaredType;

  _TypeConstraintFromReturnType(this.declaredType, this.contextType,
      {required bool isNonNullableByDefault})
      : super(isNonNullableByDefault: isNonNullableByDefault);

  @override
  List<String> formatError() {
    return [
      "Return type",
      "declared as '${_typeStr(declaredType)}'",
      "used where  '${_typeStr(contextType)}' is required."
    ];
  }
}

/// The origin of a type constraint, for the purposes of producing a human
/// readable error message during type inference as well as determining whether
/// the constraint was used to fix the type parameter or not.
abstract class _TypeConstraintOrigin {
  final bool isNonNullableByDefault;

  _TypeConstraintOrigin({required this.isNonNullableByDefault});

  List<String> formatError();

  String _typeStr(DartType type) {
    return type.getDisplayString(withNullability: isNonNullableByDefault);
  }
}

class _TypeRange {
  /// The upper bound of the type parameter. In other words, T <: upperBound.
  ///
  /// In Dart this can be written as `<T extends UpperBoundType>`.
  ///
  /// In inference, this can happen as a result of parameters of function type.
  /// For example, consider a signature like:
  ///
  ///     T reduce<T>(List<T> values, T f(T x, T y));
  ///
  /// and a call to it like:
  ///
  ///     reduce(values, (num x, num y) => ...);
  ///
  /// From the function expression's parameters, we conclude `T <: num`. We may
  /// still be able to conclude a different [lower] based on `values` or
  /// the type of the elided `=> ...` body. For example:
  ///
  ///      reduce(['x'], (num x, num y) => 'hi');
  ///
  /// Here the [lower] will be `String` and the upper bound will be `num`,
  /// which cannot be satisfied, so this is ill typed.
  final DartType upperBound;

  /// The lower bound of the type parameter. In other words, lowerBound <: T.
  ///
  /// This kind of constraint cannot be expressed in Dart, but it applies when
  /// we're doing inference. For example, consider a signature like:
  ///
  ///     T pickAtRandom<T>(T x, T y);
  ///
  /// and a call to it like:
  ///
  ///     pickAtRandom(1, 2.0)
  ///
  /// when we see the first parameter is an `int`, we know that `int <: T`.
  /// When we see `double` this implies `double <: T`.
  /// Combining these constraints results in a lower bound of `num`.
  ///
  /// In general, we choose the lower bound as our inferred type, so we can
  /// offer the most constrained (strongest) result type.
  final DartType lowerBound;

  _TypeRange({DartType? lower, DartType? upper})
      : lowerBound = lower ?? UnknownInferredType.instance,
        upperBound = upper ?? UnknownInferredType.instance;

  /// Formats the typeRange as a string suitable for unit testing.
  ///
  /// For example, if [typeName] is 'T' and the range has bounds int and Object
  /// respectively, the returned string will be 'int <: T <: Object'.
  @visibleForTesting
  String format(String typeName, {required bool withNullability}) {
    String typeStr(DartType type) {
      return type.getDisplayString(withNullability: withNullability);
    }

    var lowerString = identical(lowerBound, UnknownInferredType.instance)
        ? ''
        : '${typeStr(lowerBound)} <: ';
    var upperString = identical(upperBound, UnknownInferredType.instance)
        ? ''
        : ' <: ${typeStr(upperBound)}';
    return '$lowerString$typeName$upperString';
  }

  @override
  String toString() => format('(type)', withNullability: true);
}