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+#![feature(fmt_helpers_for_derive)]
+#![feature(min_specialization)]
+#![feature(rustc_attrs)]
+
+#[macro_use]
+extern crate bitflags;
+#[macro_use]
+extern crate rustc_macros;
+
+use rustc_data_structures::stable_hasher::{HashStable, StableHasher};
+use rustc_data_structures::unify::{EqUnifyValue, UnifyKey};
+use smallvec::SmallVec;
+use std::fmt;
+use std::fmt::Debug;
+use std::hash::Hash;
+use std::mem::discriminant;
+
+pub mod codec;
+pub mod sty;
+
+pub use codec::*;
+pub use sty::*;
+
+pub trait Interner {
+ type AdtDef: Clone + Debug + Hash + PartialEq + Eq + PartialOrd + Ord;
+ type SubstsRef: Clone + Debug + Hash + PartialEq + Eq + PartialOrd + Ord;
+ type DefId: Clone + Debug + Hash + PartialEq + Eq + PartialOrd + Ord;
+ type Ty: Clone + Debug + Hash + PartialEq + Eq + PartialOrd + Ord;
+ type Const: Clone + Debug + Hash + PartialEq + Eq + PartialOrd + Ord;
+ type Region: Clone + Debug + Hash + PartialEq + Eq + PartialOrd + Ord;
+ type TypeAndMut: Clone + Debug + Hash + PartialEq + Eq + PartialOrd + Ord;
+ type Mutability: Clone + Debug + Hash + PartialEq + Eq + PartialOrd + Ord;
+ type Movability: Clone + Debug + Hash + PartialEq + Eq + PartialOrd + Ord;
+ type PolyFnSig: Clone + Debug + Hash + PartialEq + Eq + PartialOrd + Ord;
+ type ListBinderExistentialPredicate: Clone + Debug + Hash + PartialEq + Eq + PartialOrd + Ord;
+ type BinderListTy: Clone + Debug + Hash + PartialEq + Eq + PartialOrd + Ord;
+ type ListTy: Clone + Debug + Hash + PartialEq + Eq + PartialOrd + Ord;
+ type ProjectionTy: Clone + Debug + Hash + PartialEq + Eq + PartialOrd + Ord;
+ type ParamTy: Clone + Debug + Hash + PartialEq + Eq + PartialOrd + Ord;
+ type BoundTy: Clone + Debug + Hash + PartialEq + Eq + PartialOrd + Ord;
+ type PlaceholderType: Clone + Debug + Hash + PartialEq + Eq + PartialOrd + Ord;
+ type InferTy: Clone + Debug + Hash + PartialEq + Eq + PartialOrd + Ord;
+ type DelaySpanBugEmitted: Clone + Debug + Hash + PartialEq + Eq + PartialOrd + Ord;
+ type PredicateKind: Clone + Debug + Hash + PartialEq + Eq;
+ type AllocId: Clone + Debug + Hash + PartialEq + Eq + PartialOrd + Ord;
+
+ type EarlyBoundRegion: Clone + Debug + Hash + PartialEq + Eq + PartialOrd + Ord;
+ type BoundRegion: Clone + Debug + Hash + PartialEq + Eq + PartialOrd + Ord;
+ type FreeRegion: Clone + Debug + Hash + PartialEq + Eq + PartialOrd + Ord;
+ type RegionVid: Clone + Debug + Hash + PartialEq + Eq + PartialOrd + Ord;
+ type PlaceholderRegion: Clone + Debug + Hash + PartialEq + Eq + PartialOrd + Ord;
+}
+
+pub trait InternAs<T: ?Sized, R> {
+ type Output;
+ fn intern_with<F>(self, f: F) -> Self::Output
+ where
+ F: FnOnce(&T) -> R;
+}
+
+impl<I, T, R, E> InternAs<[T], R> for I
+where
+ E: InternIteratorElement<T, R>,
+ I: Iterator<Item = E>,
+{
+ type Output = E::Output;
+ fn intern_with<F>(self, f: F) -> Self::Output
+ where
+ F: FnOnce(&[T]) -> R,
+ {
+ E::intern_with(self, f)
+ }
+}
+
+pub trait InternIteratorElement<T, R>: Sized {
+ type Output;
+ fn intern_with<I: Iterator<Item = Self>, F: FnOnce(&[T]) -> R>(iter: I, f: F) -> Self::Output;
+}
+
+impl<T, R> InternIteratorElement<T, R> for T {
+ type Output = R;
+ fn intern_with<I: Iterator<Item = Self>, F: FnOnce(&[T]) -> R>(
+ mut iter: I,
+ f: F,
+ ) -> Self::Output {
+ // This code is hot enough that it's worth specializing for the most
+ // common length lists, to avoid the overhead of `SmallVec` creation.
+ // Lengths 0, 1, and 2 typically account for ~95% of cases. If
+ // `size_hint` is incorrect a panic will occur via an `unwrap` or an
+ // `assert`.
+ match iter.size_hint() {
+ (0, Some(0)) => {
+ assert!(iter.next().is_none());
+ f(&[])
+ }
+ (1, Some(1)) => {
+ let t0 = iter.next().unwrap();
+ assert!(iter.next().is_none());
+ f(&[t0])
+ }
+ (2, Some(2)) => {
+ let t0 = iter.next().unwrap();
+ let t1 = iter.next().unwrap();
+ assert!(iter.next().is_none());
+ f(&[t0, t1])
+ }
+ _ => f(&iter.collect::<SmallVec<[_; 8]>>()),
+ }
+ }
+}
+
+impl<'a, T, R> InternIteratorElement<T, R> for &'a T
+where
+ T: Clone + 'a,
+{
+ type Output = R;
+ fn intern_with<I: Iterator<Item = Self>, F: FnOnce(&[T]) -> R>(iter: I, f: F) -> Self::Output {
+ // This code isn't hot.
+ f(&iter.cloned().collect::<SmallVec<[_; 8]>>())
+ }
+}
+
+impl<T, R, E> InternIteratorElement<T, R> for Result<T, E> {
+ type Output = Result<R, E>;
+ fn intern_with<I: Iterator<Item = Self>, F: FnOnce(&[T]) -> R>(
+ mut iter: I,
+ f: F,
+ ) -> Self::Output {
+ // This code is hot enough that it's worth specializing for the most
+ // common length lists, to avoid the overhead of `SmallVec` creation.
+ // Lengths 0, 1, and 2 typically account for ~95% of cases. If
+ // `size_hint` is incorrect a panic will occur via an `unwrap` or an
+ // `assert`, unless a failure happens first, in which case the result
+ // will be an error anyway.
+ Ok(match iter.size_hint() {
+ (0, Some(0)) => {
+ assert!(iter.next().is_none());
+ f(&[])
+ }
+ (1, Some(1)) => {
+ let t0 = iter.next().unwrap()?;
+ assert!(iter.next().is_none());
+ f(&[t0])
+ }
+ (2, Some(2)) => {
+ let t0 = iter.next().unwrap()?;
+ let t1 = iter.next().unwrap()?;
+ assert!(iter.next().is_none());
+ f(&[t0, t1])
+ }
+ _ => f(&iter.collect::<Result<SmallVec<[_; 8]>, _>>()?),
+ })
+ }
+}
+
+bitflags! {
+ /// Flags that we track on types. These flags are propagated upwards
+ /// through the type during type construction, so that we can quickly check
+ /// whether the type has various kinds of types in it without recursing
+ /// over the type itself.
+ pub struct TypeFlags: u32 {
+ // Does this have parameters? Used to determine whether substitution is
+ // required.
+ /// Does this have `Param`?
+ const HAS_TY_PARAM = 1 << 0;
+ /// Does this have `ReEarlyBound`?
+ const HAS_RE_PARAM = 1 << 1;
+ /// Does this have `ConstKind::Param`?
+ const HAS_CT_PARAM = 1 << 2;
+
+ const NEEDS_SUBST = TypeFlags::HAS_TY_PARAM.bits
+ | TypeFlags::HAS_RE_PARAM.bits
+ | TypeFlags::HAS_CT_PARAM.bits;
+
+ /// Does this have `Infer`?
+ const HAS_TY_INFER = 1 << 3;
+ /// Does this have `ReVar`?
+ const HAS_RE_INFER = 1 << 4;
+ /// Does this have `ConstKind::Infer`?
+ const HAS_CT_INFER = 1 << 5;
+
+ /// Does this have inference variables? Used to determine whether
+ /// inference is required.
+ const NEEDS_INFER = TypeFlags::HAS_TY_INFER.bits
+ | TypeFlags::HAS_RE_INFER.bits
+ | TypeFlags::HAS_CT_INFER.bits;
+
+ /// Does this have `Placeholder`?
+ const HAS_TY_PLACEHOLDER = 1 << 6;
+ /// Does this have `RePlaceholder`?
+ const HAS_RE_PLACEHOLDER = 1 << 7;
+ /// Does this have `ConstKind::Placeholder`?
+ const HAS_CT_PLACEHOLDER = 1 << 8;
+
+ /// `true` if there are "names" of regions and so forth
+ /// that are local to a particular fn/inferctxt
+ const HAS_FREE_LOCAL_REGIONS = 1 << 9;
+
+ /// `true` if there are "names" of types and regions and so forth
+ /// that are local to a particular fn
+ const HAS_FREE_LOCAL_NAMES = TypeFlags::HAS_TY_PARAM.bits
+ | TypeFlags::HAS_CT_PARAM.bits
+ | TypeFlags::HAS_TY_INFER.bits
+ | TypeFlags::HAS_CT_INFER.bits
+ | TypeFlags::HAS_TY_PLACEHOLDER.bits
+ | TypeFlags::HAS_CT_PLACEHOLDER.bits
+ // We consider 'freshened' types and constants
+ // to depend on a particular fn.
+ // The freshening process throws away information,
+ // which can make things unsuitable for use in a global
+ // cache. Note that there is no 'fresh lifetime' flag -
+ // freshening replaces all lifetimes with `ReErased`,
+ // which is different from how types/const are freshened.
+ | TypeFlags::HAS_TY_FRESH.bits
+ | TypeFlags::HAS_CT_FRESH.bits
+ | TypeFlags::HAS_FREE_LOCAL_REGIONS.bits;
+
+ /// Does this have `Projection`?
+ const HAS_TY_PROJECTION = 1 << 10;
+ /// Does this have `Opaque`?
+ const HAS_TY_OPAQUE = 1 << 11;
+ /// Does this have `ConstKind::Unevaluated`?
+ const HAS_CT_PROJECTION = 1 << 12;
+
+ /// Could this type be normalized further?
+ const HAS_PROJECTION = TypeFlags::HAS_TY_PROJECTION.bits
+ | TypeFlags::HAS_TY_OPAQUE.bits
+ | TypeFlags::HAS_CT_PROJECTION.bits;
+
+ /// Is an error type/const reachable?
+ const HAS_ERROR = 1 << 13;
+
+ /// Does this have any region that "appears free" in the type?
+ /// Basically anything but `ReLateBound` and `ReErased`.
+ const HAS_FREE_REGIONS = 1 << 14;
+
+ /// Does this have any `ReLateBound` regions? Used to check
+ /// if a global bound is safe to evaluate.
+ const HAS_RE_LATE_BOUND = 1 << 15;
+
+ /// Does this have any `ReErased` regions?
+ const HAS_RE_ERASED = 1 << 16;
+
+ /// Does this value have parameters/placeholders/inference variables which could be
+ /// replaced later, in a way that would change the results of `impl` specialization?
+ const STILL_FURTHER_SPECIALIZABLE = 1 << 17;
+
+ /// Does this value have `InferTy::FreshTy/FreshIntTy/FreshFloatTy`?
+ const HAS_TY_FRESH = 1 << 18;
+
+ /// Does this value have `InferConst::Fresh`?
+ const HAS_CT_FRESH = 1 << 19;
+ }
+}
+
+rustc_index::newtype_index! {
+ /// A [De Bruijn index][dbi] is a standard means of representing
+ /// regions (and perhaps later types) in a higher-ranked setting. In
+ /// particular, imagine a type like this:
+ /// ```ignore (illustrative)
+ /// for<'a> fn(for<'b> fn(&'b isize, &'a isize), &'a char)
+ /// // ^ ^ | | |
+ /// // | | | | |
+ /// // | +------------+ 0 | |
+ /// // | | |
+ /// // +----------------------------------+ 1 |
+ /// // | |
+ /// // +----------------------------------------------+ 0
+ /// ```
+ /// In this type, there are two binders (the outer fn and the inner
+ /// fn). We need to be able to determine, for any given region, which
+ /// fn type it is bound by, the inner or the outer one. There are
+ /// various ways you can do this, but a De Bruijn index is one of the
+ /// more convenient and has some nice properties. The basic idea is to
+ /// count the number of binders, inside out. Some examples should help
+ /// clarify what I mean.
+ ///
+ /// Let's start with the reference type `&'b isize` that is the first
+ /// argument to the inner function. This region `'b` is assigned a De
+ /// Bruijn index of 0, meaning "the innermost binder" (in this case, a
+ /// fn). The region `'a` that appears in the second argument type (`&'a
+ /// isize`) would then be assigned a De Bruijn index of 1, meaning "the
+ /// second-innermost binder". (These indices are written on the arrows
+ /// in the diagram).
+ ///
+ /// What is interesting is that De Bruijn index attached to a particular
+ /// variable will vary depending on where it appears. For example,
+ /// the final type `&'a char` also refers to the region `'a` declared on
+ /// the outermost fn. But this time, this reference is not nested within
+ /// any other binders (i.e., it is not an argument to the inner fn, but
+ /// rather the outer one). Therefore, in this case, it is assigned a
+ /// De Bruijn index of 0, because the innermost binder in that location
+ /// is the outer fn.
+ ///
+ /// [dbi]: https://en.wikipedia.org/wiki/De_Bruijn_index
+ pub struct DebruijnIndex {
+ DEBUG_FORMAT = "DebruijnIndex({})",
+ const INNERMOST = 0,
+ }
+}
+
+impl DebruijnIndex {
+ /// Returns the resulting index when this value is moved into
+ /// `amount` number of new binders. So, e.g., if you had
+ ///
+ /// for<'a> fn(&'a x)
+ ///
+ /// and you wanted to change it to
+ ///
+ /// for<'a> fn(for<'b> fn(&'a x))
+ ///
+ /// you would need to shift the index for `'a` into a new binder.
+ #[inline]
+ #[must_use]
+ pub fn shifted_in(self, amount: u32) -> DebruijnIndex {
+ DebruijnIndex::from_u32(self.as_u32() + amount)
+ }
+
+ /// Update this index in place by shifting it "in" through
+ /// `amount` number of binders.
+ #[inline]
+ pub fn shift_in(&mut self, amount: u32) {
+ *self = self.shifted_in(amount);
+ }
+
+ /// Returns the resulting index when this value is moved out from
+ /// `amount` number of new binders.
+ #[inline]
+ #[must_use]
+ pub fn shifted_out(self, amount: u32) -> DebruijnIndex {
+ DebruijnIndex::from_u32(self.as_u32() - amount)
+ }
+
+ /// Update in place by shifting out from `amount` binders.
+ #[inline]
+ pub fn shift_out(&mut self, amount: u32) {
+ *self = self.shifted_out(amount);
+ }
+
+ /// Adjusts any De Bruijn indices so as to make `to_binder` the
+ /// innermost binder. That is, if we have something bound at `to_binder`,
+ /// it will now be bound at INNERMOST. This is an appropriate thing to do
+ /// when moving a region out from inside binders:
+ ///
+ /// ```ignore (illustrative)
+ /// for<'a> fn(for<'b> for<'c> fn(&'a u32), _)
+ /// // Binder: D3 D2 D1 ^^
+ /// ```
+ ///
+ /// Here, the region `'a` would have the De Bruijn index D3,
+ /// because it is the bound 3 binders out. However, if we wanted
+ /// to refer to that region `'a` in the second argument (the `_`),
+ /// those two binders would not be in scope. In that case, we
+ /// might invoke `shift_out_to_binder(D3)`. This would adjust the
+ /// De Bruijn index of `'a` to D1 (the innermost binder).
+ ///
+ /// If we invoke `shift_out_to_binder` and the region is in fact
+ /// bound by one of the binders we are shifting out of, that is an
+ /// error (and should fail an assertion failure).
+ #[inline]
+ pub fn shifted_out_to_binder(self, to_binder: DebruijnIndex) -> Self {
+ self.shifted_out(to_binder.as_u32() - INNERMOST.as_u32())
+ }
+}
+
+#[derive(Clone, Copy, PartialEq, Eq, PartialOrd, Ord, Hash, Debug)]
+#[derive(Encodable, Decodable)]
+pub enum IntTy {
+ Isize,
+ I8,
+ I16,
+ I32,
+ I64,
+ I128,
+}
+
+impl IntTy {
+ pub fn name_str(&self) -> &'static str {
+ match *self {
+ IntTy::Isize => "isize",
+ IntTy::I8 => "i8",
+ IntTy::I16 => "i16",
+ IntTy::I32 => "i32",
+ IntTy::I64 => "i64",
+ IntTy::I128 => "i128",
+ }
+ }
+
+ pub fn bit_width(&self) -> Option<u64> {
+ Some(match *self {
+ IntTy::Isize => return None,
+ IntTy::I8 => 8,
+ IntTy::I16 => 16,
+ IntTy::I32 => 32,
+ IntTy::I64 => 64,
+ IntTy::I128 => 128,
+ })
+ }
+
+ pub fn normalize(&self, target_width: u32) -> Self {
+ match self {
+ IntTy::Isize => match target_width {
+ 16 => IntTy::I16,
+ 32 => IntTy::I32,
+ 64 => IntTy::I64,
+ _ => unreachable!(),
+ },
+ _ => *self,
+ }
+ }
+}
+
+#[derive(Clone, PartialEq, Eq, PartialOrd, Ord, Hash, Copy, Debug)]
+#[derive(Encodable, Decodable)]
+pub enum UintTy {
+ Usize,
+ U8,
+ U16,
+ U32,
+ U64,
+ U128,
+}
+
+impl UintTy {
+ pub fn name_str(&self) -> &'static str {
+ match *self {
+ UintTy::Usize => "usize",
+ UintTy::U8 => "u8",
+ UintTy::U16 => "u16",
+ UintTy::U32 => "u32",
+ UintTy::U64 => "u64",
+ UintTy::U128 => "u128",
+ }
+ }
+
+ pub fn bit_width(&self) -> Option<u64> {
+ Some(match *self {
+ UintTy::Usize => return None,
+ UintTy::U8 => 8,
+ UintTy::U16 => 16,
+ UintTy::U32 => 32,
+ UintTy::U64 => 64,
+ UintTy::U128 => 128,
+ })
+ }
+
+ pub fn normalize(&self, target_width: u32) -> Self {
+ match self {
+ UintTy::Usize => match target_width {
+ 16 => UintTy::U16,
+ 32 => UintTy::U32,
+ 64 => UintTy::U64,
+ _ => unreachable!(),
+ },
+ _ => *self,
+ }
+ }
+}
+
+#[derive(Clone, Copy, PartialEq, Eq, PartialOrd, Ord, Hash, Debug)]
+#[derive(Encodable, Decodable)]
+pub enum FloatTy {
+ F32,
+ F64,
+}
+
+impl FloatTy {
+ pub fn name_str(self) -> &'static str {
+ match self {
+ FloatTy::F32 => "f32",
+ FloatTy::F64 => "f64",
+ }
+ }
+
+ pub fn bit_width(self) -> u64 {
+ match self {
+ FloatTy::F32 => 32,
+ FloatTy::F64 => 64,
+ }
+ }
+}
+
+#[derive(Clone, Copy, PartialEq, Eq)]
+pub enum IntVarValue {
+ IntType(IntTy),
+ UintType(UintTy),
+}
+
+#[derive(Clone, Copy, PartialEq, Eq)]
+pub struct FloatVarValue(pub FloatTy);
+
+rustc_index::newtype_index! {
+ /// A **ty**pe **v**ariable **ID**.
+ pub struct TyVid {
+ DEBUG_FORMAT = "_#{}t"
+ }
+}
+
+/// An **int**egral (`u32`, `i32`, `usize`, etc.) type **v**ariable **ID**.
+#[derive(Clone, Copy, PartialEq, Eq, PartialOrd, Ord, Hash, Encodable, Decodable)]
+pub struct IntVid {
+ pub index: u32,
+}
+
+/// An **float**ing-point (`f32` or `f64`) type **v**ariable **ID**.
+#[derive(Clone, Copy, PartialEq, Eq, PartialOrd, Ord, Hash, Encodable, Decodable)]
+pub struct FloatVid {
+ pub index: u32,
+}
+
+/// A placeholder for a type that hasn't been inferred yet.
+///
+/// E.g., if we have an empty array (`[]`), then we create a fresh
+/// type variable for the element type since we won't know until it's
+/// used what the element type is supposed to be.
+#[derive(Clone, Copy, PartialEq, Eq, PartialOrd, Ord, Hash, Encodable, Decodable)]
+pub enum InferTy {
+ /// A type variable.
+ TyVar(TyVid),
+ /// An integral type variable (`{integer}`).
+ ///
+ /// These are created when the compiler sees an integer literal like
+ /// `1` that could be several different types (`u8`, `i32`, `u32`, etc.).
+ /// We don't know until it's used what type it's supposed to be, so
+ /// we create a fresh type variable.
+ IntVar(IntVid),
+ /// A floating-point type variable (`{float}`).
+ ///
+ /// These are created when the compiler sees an float literal like
+ /// `1.0` that could be either an `f32` or an `f64`.
+ /// We don't know until it's used what type it's supposed to be, so
+ /// we create a fresh type variable.
+ FloatVar(FloatVid),
+
+ /// A [`FreshTy`][Self::FreshTy] is one that is generated as a replacement
+ /// for an unbound type variable. This is convenient for caching etc. See
+ /// `rustc_infer::infer::freshen` for more details.
+ ///
+ /// Compare with [`TyVar`][Self::TyVar].
+ FreshTy(u32),
+ /// Like [`FreshTy`][Self::FreshTy], but as a replacement for [`IntVar`][Self::IntVar].
+ FreshIntTy(u32),
+ /// Like [`FreshTy`][Self::FreshTy], but as a replacement for [`FloatVar`][Self::FloatVar].
+ FreshFloatTy(u32),
+}
+
+/// Raw `TyVid` are used as the unification key for `sub_relations`;
+/// they carry no values.
+impl UnifyKey for TyVid {
+ type Value = ();
+ #[inline]
+ fn index(&self) -> u32 {
+ self.as_u32()
+ }
+ #[inline]
+ fn from_index(i: u32) -> TyVid {
+ TyVid::from_u32(i)
+ }
+ fn tag() -> &'static str {
+ "TyVid"
+ }
+}
+
+impl EqUnifyValue for IntVarValue {}
+
+impl UnifyKey for IntVid {
+ type Value = Option<IntVarValue>;
+ #[inline] // make this function eligible for inlining - it is quite hot.
+ fn index(&self) -> u32 {
+ self.index
+ }
+ #[inline]
+ fn from_index(i: u32) -> IntVid {
+ IntVid { index: i }
+ }
+ fn tag() -> &'static str {
+ "IntVid"
+ }
+}
+
+impl EqUnifyValue for FloatVarValue {}
+
+impl UnifyKey for FloatVid {
+ type Value = Option<FloatVarValue>;
+ #[inline]
+ fn index(&self) -> u32 {
+ self.index
+ }
+ #[inline]
+ fn from_index(i: u32) -> FloatVid {
+ FloatVid { index: i }
+ }
+ fn tag() -> &'static str {
+ "FloatVid"
+ }
+}
+
+#[derive(Copy, Clone, PartialEq, Decodable, Encodable, Hash)]
+#[rustc_pass_by_value]
+pub enum Variance {
+ Covariant, // T<A> <: T<B> iff A <: B -- e.g., function return type
+ Invariant, // T<A> <: T<B> iff B == A -- e.g., type of mutable cell
+ Contravariant, // T<A> <: T<B> iff B <: A -- e.g., function param type
+ Bivariant, // T<A> <: T<B> -- e.g., unused type parameter
+}
+
+impl Variance {
+ /// `a.xform(b)` combines the variance of a context with the
+ /// variance of a type with the following meaning. If we are in a
+ /// context with variance `a`, and we encounter a type argument in
+ /// a position with variance `b`, then `a.xform(b)` is the new
+ /// variance with which the argument appears.
+ ///
+ /// Example 1:
+ /// ```ignore (illustrative)
+ /// *mut Vec<i32>
+ /// ```
+ /// Here, the "ambient" variance starts as covariant. `*mut T` is
+ /// invariant with respect to `T`, so the variance in which the
+ /// `Vec<i32>` appears is `Covariant.xform(Invariant)`, which
+ /// yields `Invariant`. Now, the type `Vec<T>` is covariant with
+ /// respect to its type argument `T`, and hence the variance of
+ /// the `i32` here is `Invariant.xform(Covariant)`, which results
+ /// (again) in `Invariant`.
+ ///
+ /// Example 2:
+ /// ```ignore (illustrative)
+ /// fn(*const Vec<i32>, *mut Vec<i32)
+ /// ```
+ /// The ambient variance is covariant. A `fn` type is
+ /// contravariant with respect to its parameters, so the variance
+ /// within which both pointer types appear is
+ /// `Covariant.xform(Contravariant)`, or `Contravariant`. `*const
+ /// T` is covariant with respect to `T`, so the variance within
+ /// which the first `Vec<i32>` appears is
+ /// `Contravariant.xform(Covariant)` or `Contravariant`. The same
+ /// is true for its `i32` argument. In the `*mut T` case, the
+ /// variance of `Vec<i32>` is `Contravariant.xform(Invariant)`,
+ /// and hence the outermost type is `Invariant` with respect to
+ /// `Vec<i32>` (and its `i32` argument).
+ ///
+ /// Source: Figure 1 of "Taming the Wildcards:
+ /// Combining Definition- and Use-Site Variance" published in PLDI'11.
+ pub fn xform(self, v: Variance) -> Variance {
+ match (self, v) {
+ // Figure 1, column 1.
+ (Variance::Covariant, Variance::Covariant) => Variance::Covariant,
+ (Variance::Covariant, Variance::Contravariant) => Variance::Contravariant,
+ (Variance::Covariant, Variance::Invariant) => Variance::Invariant,
+ (Variance::Covariant, Variance::Bivariant) => Variance::Bivariant,
+
+ // Figure 1, column 2.
+ (Variance::Contravariant, Variance::Covariant) => Variance::Contravariant,
+ (Variance::Contravariant, Variance::Contravariant) => Variance::Covariant,
+ (Variance::Contravariant, Variance::Invariant) => Variance::Invariant,
+ (Variance::Contravariant, Variance::Bivariant) => Variance::Bivariant,
+
+ // Figure 1, column 3.
+ (Variance::Invariant, _) => Variance::Invariant,
+
+ // Figure 1, column 4.
+ (Variance::Bivariant, _) => Variance::Bivariant,
+ }
+ }
+}
+
+impl<CTX> HashStable<CTX> for DebruijnIndex {
+ fn hash_stable(&self, ctx: &mut CTX, hasher: &mut StableHasher) {
+ self.as_u32().hash_stable(ctx, hasher);
+ }
+}
+
+impl<CTX> HashStable<CTX> for IntTy {
+ fn hash_stable(&self, ctx: &mut CTX, hasher: &mut StableHasher) {
+ discriminant(self).hash_stable(ctx, hasher);
+ }
+}
+
+impl<CTX> HashStable<CTX> for UintTy {
+ fn hash_stable(&self, ctx: &mut CTX, hasher: &mut StableHasher) {
+ discriminant(self).hash_stable(ctx, hasher);
+ }
+}
+
+impl<CTX> HashStable<CTX> for FloatTy {
+ fn hash_stable(&self, ctx: &mut CTX, hasher: &mut StableHasher) {
+ discriminant(self).hash_stable(ctx, hasher);
+ }
+}
+
+impl<CTX> HashStable<CTX> for InferTy {
+ fn hash_stable(&self, ctx: &mut CTX, hasher: &mut StableHasher) {
+ use InferTy::*;
+ discriminant(self).hash_stable(ctx, hasher);
+ match self {
+ TyVar(v) => v.as_u32().hash_stable(ctx, hasher),
+ IntVar(v) => v.index.hash_stable(ctx, hasher),
+ FloatVar(v) => v.index.hash_stable(ctx, hasher),
+ FreshTy(v) | FreshIntTy(v) | FreshFloatTy(v) => v.hash_stable(ctx, hasher),
+ }
+ }
+}
+
+impl<CTX> HashStable<CTX> for Variance {
+ fn hash_stable(&self, ctx: &mut CTX, hasher: &mut StableHasher) {
+ discriminant(self).hash_stable(ctx, hasher);
+ }
+}
+
+impl fmt::Debug for IntVarValue {
+ fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
+ match *self {
+ IntVarValue::IntType(ref v) => v.fmt(f),
+ IntVarValue::UintType(ref v) => v.fmt(f),
+ }
+ }
+}
+
+impl fmt::Debug for FloatVarValue {
+ fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
+ self.0.fmt(f)
+ }
+}
+
+impl fmt::Debug for IntVid {
+ fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
+ write!(f, "_#{}i", self.index)
+ }
+}
+
+impl fmt::Debug for FloatVid {
+ fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
+ write!(f, "_#{}f", self.index)
+ }
+}
+
+impl fmt::Debug for InferTy {
+ fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
+ use InferTy::*;
+ match *self {
+ TyVar(ref v) => v.fmt(f),
+ IntVar(ref v) => v.fmt(f),
+ FloatVar(ref v) => v.fmt(f),
+ FreshTy(v) => write!(f, "FreshTy({:?})", v),
+ FreshIntTy(v) => write!(f, "FreshIntTy({:?})", v),
+ FreshFloatTy(v) => write!(f, "FreshFloatTy({:?})", v),
+ }
+ }
+}
+
+impl fmt::Debug for Variance {
+ fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
+ f.write_str(match *self {
+ Variance::Covariant => "+",
+ Variance::Contravariant => "-",
+ Variance::Invariant => "o",
+ Variance::Bivariant => "*",
+ })
+ }
+}
+
+impl fmt::Display for InferTy {
+ fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
+ use InferTy::*;
+ match *self {
+ TyVar(_) => write!(f, "_"),
+ IntVar(_) => write!(f, "{}", "{integer}"),
+ FloatVar(_) => write!(f, "{}", "{float}"),
+ FreshTy(v) => write!(f, "FreshTy({})", v),
+ FreshIntTy(v) => write!(f, "FreshIntTy({})", v),
+ FreshFloatTy(v) => write!(f, "FreshFloatTy({})", v),
+ }
+ }
+}
+
+rustc_index::newtype_index! {
+ /// "Universes" are used during type- and trait-checking in the
+ /// presence of `for<..>` binders to control what sets of names are
+ /// visible. Universes are arranged into a tree: the root universe
+ /// contains names that are always visible. Each child then adds a new
+ /// set of names that are visible, in addition to those of its parent.
+ /// We say that the child universe "extends" the parent universe with
+ /// new names.
+ ///
+ /// To make this more concrete, consider this program:
+ ///
+ /// ```ignore (illustrative)
+ /// struct Foo { }
+ /// fn bar<T>(x: T) {
+ /// let y: for<'a> fn(&'a u8, Foo) = ...;
+ /// }
+ /// ```
+ ///
+ /// The struct name `Foo` is in the root universe U0. But the type
+ /// parameter `T`, introduced on `bar`, is in an extended universe U1
+ /// -- i.e., within `bar`, we can name both `T` and `Foo`, but outside
+ /// of `bar`, we cannot name `T`. Then, within the type of `y`, the
+ /// region `'a` is in a universe U2 that extends U1, because we can
+ /// name it inside the fn type but not outside.
+ ///
+ /// Universes are used to do type- and trait-checking around these
+ /// "forall" binders (also called **universal quantification**). The
+ /// idea is that when, in the body of `bar`, we refer to `T` as a
+ /// type, we aren't referring to any type in particular, but rather a
+ /// kind of "fresh" type that is distinct from all other types we have
+ /// actually declared. This is called a **placeholder** type, and we
+ /// use universes to talk about this. In other words, a type name in
+ /// universe 0 always corresponds to some "ground" type that the user
+ /// declared, but a type name in a non-zero universe is a placeholder
+ /// type -- an idealized representative of "types in general" that we
+ /// use for checking generic functions.
+ pub struct UniverseIndex {
+ DEBUG_FORMAT = "U{}",
+ }
+}
+
+impl UniverseIndex {
+ pub const ROOT: UniverseIndex = UniverseIndex::from_u32(0);
+
+ /// Returns the "next" universe index in order -- this new index
+ /// is considered to extend all previous universes. This
+ /// corresponds to entering a `forall` quantifier. So, for
+ /// example, suppose we have this type in universe `U`:
+ ///
+ /// ```ignore (illustrative)
+ /// for<'a> fn(&'a u32)
+ /// ```
+ ///
+ /// Once we "enter" into this `for<'a>` quantifier, we are in a
+ /// new universe that extends `U` -- in this new universe, we can
+ /// name the region `'a`, but that region was not nameable from
+ /// `U` because it was not in scope there.
+ pub fn next_universe(self) -> UniverseIndex {
+ UniverseIndex::from_u32(self.private.checked_add(1).unwrap())
+ }
+
+ /// Returns `true` if `self` can name a name from `other` -- in other words,
+ /// if the set of names in `self` is a superset of those in
+ /// `other` (`self >= other`).
+ pub fn can_name(self, other: UniverseIndex) -> bool {
+ self.private >= other.private
+ }
+
+ /// Returns `true` if `self` cannot name some names from `other` -- in other
+ /// words, if the set of names in `self` is a strict subset of
+ /// those in `other` (`self < other`).
+ pub fn cannot_name(self, other: UniverseIndex) -> bool {
+ self.private < other.private
+ }
+}
+
+impl<CTX> HashStable<CTX> for UniverseIndex {
+ fn hash_stable(&self, ctx: &mut CTX, hasher: &mut StableHasher) {
+ self.private.hash_stable(ctx, hasher);
+ }
+}