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6 changes: 6 additions & 0 deletions src/items/generics.md
Original file line number Diff line number Diff line change
Expand Up @@ -310,6 +310,12 @@ struct Foo<#[my_flexible_clone(unbounded)] H> {
}
```

r[items.generics.instantiation]
When using an item its generic parameters have to get instantiated. This replaces all occurances of the parameter with either the explicitly provided argument or a new unconstrained inference variable.

Instantiating the generic parameters of an item generally requires proving its where clauses.


[array repeat expression]: ../expressions/array-expr.md
[arrays]: ../types/array.md
[slices]: ../types/slice.md
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115 changes: 68 additions & 47 deletions src/trait-bounds.md
Original file line number Diff line number Diff line change
Expand Up @@ -44,68 +44,89 @@ certain common cases:
`trait A { type B: Copy; }` is equivalent to
`trait A where Self::B: Copy { type B; }`.

r[bound.global]

Bounds which does not use the item's parameters or any higher-ranked lifetimes are considered global.

An error is emitted if a global bound cannot be satisfied in an empty environment.

r[bound.satisfaction]
Bounds on an item must be satisfied when using the item. When type checking and
borrow checking a generic item, the bounds can be used to determine that a
trait is implemented for a type. For example, given `Ty: Trait`

* In the body of a generic function, methods from `Trait` can be called on `Ty`
values. Likewise associated constants on the `Trait` can be used.
* Associated types from `Trait` can be used.
* Generic functions and types with a `T: Trait` bounds can be used with `Ty`
being used for `T`.
The bounds of an item must be satisfied when using that item.

r[bound.satisfaction.impl]

A trait bound can be satisfied by using an implementation of that trait. An implementation is applicable if,
after instantiating its generic parameters with new inference variables, the self type and trait arguments are
equal to the trait bound and the where-bounds of the impl can be recursively satisfied.

r[bound.satisfaction.impl.builtin]

There exist impls which are automatically generated by the compiler.

- `Sized`,`Copy`, `Clone`,...


- alternative: mention this in item-kind impl

r[bound.satisfaction.impl.builtin.trait-object]

Trait objects implement their trait if TODO: lookup conditions, something something project bounds make sense

r[bound.satisfaction.bounds]

While inside of a generic item, trait bounds can be satisfied by using the where-bounds of the current item as the item is able to assume that its bounds are satisfied. For this, higher-ranked where-bounds can be instantiated with inference variables. The where-bound is then equated with the trait bound that needs to be satisfied.

r[bound.satisfaction.alias-bounds]

If an alias type is rigid in the current environment, trait bounds using this alias as a self type can be satisfied by using its item bounds.

```rust
# type Surface = i32;
trait Shape {
fn draw(&self, surface: Surface);
fn name() -> &'static str;
trait Trait {
type Assoc: Clone;
}

fn draw_twice<T: Shape>(surface: Surface, sh: T) {
sh.draw(surface); // Can call method because T: Shape
sh.draw(surface);
fn foo<T: Trait>(x: &T::Assoc) -> T::Assoc {
// The where-bound `T::Assoc: Clone` is satisfied using the `Clone` item-bound.
x.clone()
}
```

fn copy_and_draw_twice<T: Copy>(surface: Surface, sh: T) where T: Shape {
let shape_copy = sh; // doesn't move sh because T: Copy
draw_twice(surface, sh); // Can use generic function because T: Shape
}
r[bound.satisfaction.alias-bounds.nested]

struct Figure<S: Shape>(S, S);
We also consider the item bounds of the self type of aliases to satisfy trait bounds.

fn name_figure<U: Shape>(
figure: Figure<U>, // Type Figure<U> is well-formed because U: Shape
) {
println!(
"Figure of two {}",
U::name(), // Can use associated function
);
```rust
trait Trait {
type Assoc: Iterator
where
<Self::Assoc as Iterator>::Item: Clone;
// equivalent to
// type Assoc: Iterator<Item: Clone>;
}
```

r[bound.trivial]
Bounds that don't use the item's parameters or [higher-ranked lifetimes] are checked when the item is defined.
It is an error for such a bound to be false.

r[bound.special]
[`Copy`], [`Clone`], and [`Sized`] bounds are also checked for certain generic types when using the item, even if the use does not provide a concrete type.
It is an error to have `Copy` or `Clone` as a bound on a mutable reference, [trait object], or [slice].
It is an error to have `Sized` as a bound on a trait object or slice.

```rust,compile_fail
struct A<'a, T>
where
i32: Default, // Allowed, but not useful
i32: Iterator, // Error: `i32` is not an iterator
&'a mut T: Copy, // (at use) Error: the trait bound is not satisfied
[T]: Sized, // (at use) Error: size cannot be known at compilation
{
f: &'a T,
fn item_is_clone<T: Trait>(iter: T::Assoc) {
for item in iter {
let _ = item.clone();
}
}
struct UsesA<'a, T>(A<'a, T>);
```


r[bound.satisfaction.candidate-preference]

> This is purely descriptive. Candidate preference behavior may change in future releases and must not be relied upon for correctness or soundness.

If there are multiple ways to satisfy a trait bound, some groups of candidate are preferred over others. In case a single group has multiple different candidates, the bound remains ambiguous. Candidate preference has the following order
- builtin implementations of `Sized`
- if there are any non-global where-bounds, all where-bounds
- alias-bounds
- impls
- In case the goal trait bound does not contain any inference variables, we prefer builtin trait object impls over user-written impls. TODO: that's unsound jank
- global where-bounds (only relevant if it does not hold)

> note: this candidate preference can result in incorrect errors and type mismatches, e.g. ...

r[bound.trait-object]
Trait and lifetime bounds are also used to name [trait objects].

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25 changes: 25 additions & 0 deletions src/types.md
Original file line number Diff line number Diff line change
Expand Up @@ -150,6 +150,31 @@ enum List<T> {
let a: List<i32> = List::Cons(7, Box::new(List::Cons(13, Box::new(List::Nil))));
```

## Equality of types

r[types.equality]

Equality and subtyping of types is generally structural; if the outermost type constructors are the same,
their corresponding generic arguments are pairwise compared. We say types with this equality behavior are *rigid*. The only exceptions from this rule are higher ranked types and alias types.

r[types.equality.rigid]

r[types.equality.aliases]

Aliases are compared by first normalizing them to a *rigid* type and then equating their type constructors and recursing into their generic arguments.

r[types.equality.higher-ranked]

Function pointers and trait objects may be higher-ranked.

r[types.equality.higher-ranked.sub]

Subtyping is checked by instantiating the `for` of the subtype with inference variables and the `for` of the supertype with placeholders before relating them as normal.

r[types.equality.higher-ranked.eq]

Equality is checked by both instantiating the `for` of the lhs with inference variables and the `for` of the rhs with placeholders before equating them, and also doing the opposite.

[Array]: types/array.md
[Boolean]: types/boolean.md
[Closures]: types/closure.md
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35 changes: 35 additions & 0 deletions src/types/alias-types.md
Original file line number Diff line number Diff line change
@@ -0,0 +1,35 @@
r[type.alias]

- associated types
- opaque types
- link from "impl-trait type" to this or param

r[type.alias.rigid]

Aliases might be treated as *rigid* in their current environment. In this case they behave like other types.
Their equality is structural, *rigid* aliases are only equal if both have the same type constructor and equal corresponding arguments.

r[type.alias.normalization]

Alias types can be normalized to their underlying type.
- for associated types this is the type provided by the corresponding impl
- opaque types

r[type.alias.normalization.assoc-type]

Similar to how trait bounds get satisfied, associated types can be normalized via
multiple different candidates

- impl (also builtin)
- projection bound in the environment TODO: where do we talk about them
- alias bound of their self type

candidate preference:
- normalizing an alias relies on the candidate group used to prove their corresponding trait bound
- if corresponding trait bound has been proven via a where-bound or an alias-bound, we do not consider impls
- if there is no remaining candidate, the associated type is rigid

For all applicable candidates we
- prefer where-bounds
- then alias bounds
- then impls
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