[_fe_analyzer_shared] Support generic types in exhaustiveness

This adds support for generic types in exhaustiveness checking.

There are two main obstacles:

 1) Types that are not Dart subtypes might be related in the context
    of exhaustiveness. For instance

       sealed class A<X> {}
       class B extends A<num> {}
       method<T>(A<T> a) {
         switch (a) {
           case B(): ...
         }
       }

    Here B is not a Dart subtype of A<T> but must still be a subtype
    in the context of exhaustiveness since T could be num at runtime.

 2) It is non-trivial to compute the subtypes of a generic sealed class
    that is both sound and precise enough to be useful. For instance

      sealed class A<X> {}
      class B extends A<num> {}
      class C<X> extends A<X> {}
      class D<X extends num> extends A<X> {}
      class E<X extends E<X>> extends A<X> {}

    Computing the subtypes of A<F> for some type F, we would like to
    exclude B (assuming F is not a supertype of num) because it
    cannot be inhabit A<F>, and include C<F> so that we recognize
    that C<F> exactly covers all C instances of A<F>. We would also
    like to include D<F> but if we don't include the added `extends
    num` bound, we might conclude that D<num> is _not_ sufficient to
    cover D<F>. And what to do about E, can we even come up with a
    type that represents the valid values?

The solution is threefold:

1) We add an 'overapproximate' function of types, which
replaces all type variables with their default types. This will compute
A<dynamic> for A<T>, A<int> for A<int>, A<List<dynamic>> for A<List<T>>,
and E<dynamic> for E<T extends E<T>>. This is similar to instantiate-
to-bounds, but is recursive.

We use this to test whether a type without type variables is a potential
subtype. For instance testing B <: overapproximate(A<F>) = A<F> shows
that B _cannot_ be a subtype of A<F>, and testing
B <: overapproximate(A<T>) = A<dynamic> shows that B _can_ be a subtype
of A<T>.

2) For finding subtypes of a sealed type, we recognize the case
when a type is a trivial subtype in which all type variables are passed
directly to the superclass, for instance like C<T> in the example. For
other cases we overapproximate the this type of the subclass.

3) To ensure that the [StaticType] can be subtype in the normal Dart
sense but also handle the overapproximation when computing sealed
subtypes, a new [WrappedStaticType] is added. This bridges the subtype
relation such that for instance B, when created as a sealed subtype
of A<T>, is both a subtype of A<num> (as it normally is) and of A<T>,
which it is by construction.

Change-Id: I9970c46009938ef15625e1193faf916b7544ce0b
Reviewed-on: https://dart-review.googlesource.com/c/sdk/+/284681
Reviewed-by: Konstantin Shcheglov <scheglov@google.com>
Reviewed-by: Paul Berry <paulberry@google.com>
Commit-Queue: Johnni Winther <johnniwinther@google.com>
32 files changed
tree: a32b40ad086619155c47a4e076cf259d0a312e20
  1. .dart_tool/
  2. .github/
  3. benchmarks/
  4. build/
  5. docs/
  6. pkg/
  7. runtime/
  8. samples/
  9. sdk/
  10. tests/
  11. third_party/
  12. tools/
  13. utils/
  14. .clang-format
  15. .gitattributes
  16. .gitconfig
  17. .gitignore
  18. .gn
  19. .mailmap
  20. .style.yapf
  21. .vpython
  22. AUTHORS
  23. BUILD.gn
  24. CHANGELOG.md
  25. codereview.settings
  26. CONTRIBUTING.md
  27. DEPS
  28. LICENSE
  29. OWNERS
  30. PATENT_GRANT
  31. PRESUBMIT.py
  32. README.dart-sdk
  33. README.md
  34. sdk_args.gni
  35. SECURITY.md
  36. WATCHLISTS
README.md

Dart

A client-optimized language for fast apps on any platform

Dart is:

  • Optimized for UI: Develop with a programming language specialized around the needs of user interface creation.

  • Productive: Make changes iteratively: use hot reload to see the result instantly in your running app.

  • Fast on all platforms: Compile to ARM & x64 machine code for mobile, desktop, and backend. Or compile to JavaScript for the web.

Dart's flexible compiler technology lets you run Dart code in different ways, depending on your target platform and goals:

  • Dart Native: For programs targeting devices (mobile, desktop, server, and more), Dart Native includes both a Dart VM with JIT (just-in-time) compilation and an AOT (ahead-of-time) compiler for producing machine code.

  • Dart Web: For programs targeting the web, Dart Web includes both a development time compiler (dartdevc) and a production time compiler (dart2js).

Dart platforms illustration

License & patents

Dart is free and open source.

See LICENSE and PATENT_GRANT.

Using Dart

Visit dart.dev to learn more about the language, tools, and to find codelabs.

Browse pub.dev for more packages and libraries contributed by the community and the Dart team.

Our API reference documentation is published at api.dart.dev, based on the stable release. (We also publish docs from our beta and dev channels, as well as from the primary development branch).

Building Dart

If you want to build Dart yourself, here is a guide to getting the source, preparing your machine to build the SDK, and building.

There are more documents on our wiki.

Contributing to Dart

The easiest way to contribute to Dart is to file issues.

You can also contribute patches, as described in Contributing.