rustc_infer/infer/region_constraints/

mod.rs

//! See `README.md`.

use std::ops::Range;
use std::{cmp, fmt, mem};

use rustc_data_structures::fx::FxHashMap;
use rustc_data_structures::undo_log::UndoLogs;
use rustc_data_structures::unify as ut;
use rustc_index::IndexVec;
use rustc_macros::{TypeFoldable, TypeVisitable};
use rustc_middle::ty::{self, ReBound, ReStatic, ReVar, Region, RegionVid, Ty, TyCtxt};
use rustc_middle::{bug, span_bug};
use tracing::{debug, instrument};

use self::CombineMapType::*;
use self::UndoLog::*;
use super::{RegionVariableOrigin, Rollback, SubregionOrigin};
use crate::infer::snapshot::undo_log::{InferCtxtUndoLogs, Snapshot};
use crate::infer::unify_key::{RegionVariableValue, RegionVidKey};

mod leak_check;

#[derive(Clone, Default)]
pub struct RegionConstraintStorage<'tcx> {
    /// For each `RegionVid`, the corresponding `RegionVariableOrigin`.
    pub(super) var_infos: IndexVec<RegionVid, RegionVariableInfo<'tcx>>,

    pub(super) data: RegionConstraintData<'tcx>,

    /// For a given pair of regions (R1, R2), maps to a region R3 that
    /// is designated as their LUB (edges R1 <= R3 and R2 <= R3
    /// exist). This prevents us from making many such regions.
    lubs: CombineMap<'tcx>,

    /// For a given pair of regions (R1, R2), maps to a region R3 that
    /// is designated as their GLB (edges R3 <= R1 and R3 <= R2
    /// exist). This prevents us from making many such regions.
    glbs: CombineMap<'tcx>,

    /// When we add a R1 == R2 constraint, we currently add (a) edges
    /// R1 <= R2 and R2 <= R1 and (b) we unify the two regions in this
    /// table. You can then call `opportunistic_resolve_var` early
    /// which will map R1 and R2 to some common region (i.e., either
    /// R1 or R2). This is important when fulfillment, dropck and other such
    /// code is iterating to a fixed point, because otherwise we sometimes
    /// would wind up with a fresh stream of region variables that have been
    /// equated but appear distinct.
    pub(super) unification_table: ut::UnificationTableStorage<RegionVidKey<'tcx>>,

    /// a flag set to true when we perform any unifications; this is used
    /// to micro-optimize `take_and_reset_data`
    any_unifications: bool,
}

pub struct RegionConstraintCollector<'a, 'tcx> {
    storage: &'a mut RegionConstraintStorage<'tcx>,
    undo_log: &'a mut InferCtxtUndoLogs<'tcx>,
}

pub type VarInfos<'tcx> = IndexVec<RegionVid, RegionVariableInfo<'tcx>>;

/// The full set of region constraints gathered up by the collector.
/// Describes constraints between the region variables and other
/// regions, as well as other conditions that must be verified, or
/// assumptions that can be made.
#[derive(Debug, Default, Clone)]
pub struct RegionConstraintData<'tcx> {
    /// Constraints of the form `A <= B`, where either `A` or `B` can
    /// be a region variable (or neither, as it happens).
    pub constraints: Vec<(Constraint<'tcx>, SubregionOrigin<'tcx>)>,

    /// A "verify" is something that we need to verify after inference
    /// is done, but which does not directly affect inference in any
    /// way.
    ///
    /// An example is a `A <= B` where neither `A` nor `B` are
    /// inference variables.
    pub verifys: Vec<Verify<'tcx>>,
}

/// Represents a constraint that influences the inference process.
#[derive(Clone, Copy, PartialEq, Eq, Debug, Hash)]
pub enum ConstraintKind {
    /// A region variable is a subregion of another.
    VarSubVar,

    /// A concrete region is a subregion of region variable.
    RegSubVar,

    /// A region variable is a subregion of a concrete region. This does not
    /// directly affect inference, but instead is checked after
    /// inference is complete.
    VarSubReg,

    /// A constraint where neither side is a variable. This does not
    /// directly affect inference, but instead is checked after
    /// inference is complete.
    RegSubReg,
}

/// Represents a constraint that influences the inference process.
#[derive(Clone, Copy, PartialEq, Eq, Debug, Hash)]
pub struct Constraint<'tcx> {
    pub kind: ConstraintKind,
    // If `kind` is `VarSubVar` or `VarSubReg`, this must be a `ReVar`.
    pub sub: Region<'tcx>,
    // If `kind` is `VarSubVar` or `RegSubVar`, this must be a `ReVar`.
    pub sup: Region<'tcx>,
}

impl Constraint<'_> {
    pub fn involves_placeholders(&self) -> bool {
        self.sub.is_placeholder() || self.sup.is_placeholder()
    }
}

#[derive(Debug, Clone)]
pub struct Verify<'tcx> {
    pub kind: GenericKind<'tcx>,
    pub origin: SubregionOrigin<'tcx>,
    pub region: Region<'tcx>,
    pub bound: VerifyBound<'tcx>,
}

#[derive(Copy, Clone, PartialEq, Eq, Hash, TypeFoldable, TypeVisitable)]
pub enum GenericKind<'tcx> {
    Param(ty::ParamTy),
    Placeholder(ty::PlaceholderType<'tcx>),
    Alias(ty::AliasTy<'tcx>),
}

/// Describes the things that some `GenericKind` value `G` is known to
/// outlive. Each variant of `VerifyBound` can be thought of as a
/// function:
/// ```ignore (pseudo-rust)
/// fn(min: Region) -> bool { .. }
/// ```
/// where `true` means that the region `min` meets that `G: min`.
/// (False means nothing.)
///
/// So, for example, if we have the type `T` and we have in scope that
/// `T: 'a` and `T: 'b`, then the verify bound might be:
/// ```ignore (pseudo-rust)
/// fn(min: Region) -> bool {
///    ('a: min) || ('b: min)
/// }
/// ```
/// This is described with an `AnyRegion('a, 'b)` node.
#[derive(Debug, Clone, TypeFoldable, TypeVisitable)]
pub enum VerifyBound<'tcx> {
    /// See [`VerifyIfEq`] docs
    IfEq(ty::Binder<'tcx, VerifyIfEq<'tcx>>),

    /// Given a region `R`, expands to the function:
    ///
    /// ```ignore (pseudo-rust)
    /// fn(min) -> bool {
    ///     R: min
    /// }
    /// ```
    ///
    /// This is used when we can establish that `G: R` -- therefore,
    /// if `R: min`, then by transitivity `G: min`.
    OutlivedBy(Region<'tcx>),

    /// Given a region `R`, true if it is `'empty`.
    IsEmpty,

    /// Given a set of bounds `B`, expands to the function:
    ///
    /// ```ignore (pseudo-rust)
    /// fn(min) -> bool {
    ///     exists (b in B) { b(min) }
    /// }
    /// ```
    ///
    /// In other words, if we meet some bound in `B`, that suffices.
    /// This is used when all the bounds in `B` are known to apply to `G`.
    AnyBound(Vec<VerifyBound<'tcx>>),

    /// Given a set of bounds `B`, expands to the function:
    ///
    /// ```ignore (pseudo-rust)
    /// fn(min) -> bool {
    ///     forall (b in B) { b(min) }
    /// }
    /// ```
    ///
    /// In other words, if we meet *all* bounds in `B`, that suffices.
    /// This is used when *some* bound in `B` is known to suffice, but
    /// we don't know which.
    AllBounds(Vec<VerifyBound<'tcx>>),
}

/// This is a "conditional bound" that checks the result of inference
/// and supplies a bound if it ended up being relevant. It's used in situations
/// like this:
///
/// ```rust,ignore (pseudo-Rust)
/// fn foo<'a, 'b, T: SomeTrait<'a>>
/// where
///    <T as SomeTrait<'a>>::Item: 'b
/// ```
///
/// If we have an obligation like `<T as SomeTrait<'?x>>::Item: 'c`, then
/// we don't know yet whether it suffices to show that `'b: 'c`. If `'?x` winds
/// up being equal to `'a`, then the where-clauses on function applies, and
/// in that case we can show `'b: 'c`. But if `'?x` winds up being something
/// else, the bound isn't relevant.
///
/// In the [`VerifyBound`], this struct is enclosed in `Binder` to account
/// for cases like
///
/// ```rust,ignore (pseudo-Rust)
/// where for<'a> <T as SomeTrait<'a>::Item: 'a
/// ```
///
/// The idea is that we have to find some instantiation of `'a` that can
/// make `<T as SomeTrait<'a>>::Item` equal to the final value of `G`,
/// the generic we are checking.
///
/// ```ignore (pseudo-rust)
/// fn(min) -> bool {
///     exists<'a> {
///         if G == K {
///             B(min)
///         } else {
///             false
///         }
///     }
/// }
/// ```
#[derive(Debug, Copy, Clone, TypeFoldable, TypeVisitable)]
pub struct VerifyIfEq<'tcx> {
    /// Type which must match the generic `G`
    pub ty: Ty<'tcx>,

    /// Bound that applies if `ty` is equal.
    pub bound: Region<'tcx>,
}

#[derive(Copy, Clone, PartialEq, Eq, Hash)]
pub(crate) struct TwoRegions<'tcx> {
    a: Region<'tcx>,
    b: Region<'tcx>,
}

#[derive(Copy, Clone, PartialEq)]
pub(crate) enum UndoLog<'tcx> {
    /// We added `RegionVid`.
    AddVar(RegionVid),

    /// We added the given `constraint`.
    AddConstraint(usize),

    /// We added the given `verify`.
    AddVerify(usize),

    /// We added a GLB/LUB "combination variable".
    AddCombination(CombineMapType, TwoRegions<'tcx>),
}

#[derive(Copy, Clone, PartialEq)]
pub(crate) enum CombineMapType {
    Lub,
    Glb,
}

type CombineMap<'tcx> = FxHashMap<TwoRegions<'tcx>, RegionVid>;

#[derive(Debug, Clone, Copy)]
pub struct RegionVariableInfo<'tcx> {
    pub origin: RegionVariableOrigin<'tcx>,
    // FIXME: This is only necessary for `fn take_and_reset_data` and
    // `lexical_region_resolve`. We should rework `lexical_region_resolve`
    // in the near/medium future anyways and could move the unverse info
    // for `fn take_and_reset_data` into a separate table which is
    // only populated when needed.
    //
    // For both of these cases it is fine that this can diverge from the
    // actual universe of the variable, which is directly stored in the
    // unification table for unknown region variables. At some point we could
    // stop emitting bidirectional outlives constraints if equate succeeds.
    // This would be currently unsound as it would cause us to drop the universe
    // changes in `lexical_region_resolve`.
    pub universe: ty::UniverseIndex,
}

pub(crate) struct RegionSnapshot {
    any_unifications: bool,
}

impl<'tcx> RegionConstraintStorage<'tcx> {
    #[inline]
    pub(crate) fn with_log<'a>(
        &'a mut self,
        undo_log: &'a mut InferCtxtUndoLogs<'tcx>,
    ) -> RegionConstraintCollector<'a, 'tcx> {
        RegionConstraintCollector { storage: self, undo_log }
    }
}

impl<'tcx> RegionConstraintCollector<'_, 'tcx> {
    pub fn num_region_vars(&self) -> usize {
        self.storage.var_infos.len()
    }

    /// Takes (and clears) the current set of constraints. Note that
    /// the set of variables remains intact, but all relationships
    /// between them are reset. This is used during NLL checking to
    /// grab the set of constraints that arose from a particular
    /// operation.
    ///
    /// We don't want to leak relationships between variables between
    /// points because just because (say) `r1 == r2` was true at some
    /// point P in the graph doesn't imply that it will be true at
    /// some other point Q, in NLL.
    ///
    /// Not legal during a snapshot.
    pub fn take_and_reset_data(&mut self) -> RegionConstraintData<'tcx> {
        assert!(!UndoLogs::<UndoLog<'_>>::in_snapshot(&self.undo_log));

        // If you add a new field to `RegionConstraintCollector`, you
        // should think carefully about whether it needs to be cleared
        // or updated in some way.
        let RegionConstraintStorage {
            var_infos: _,
            data,
            lubs,
            glbs,
            unification_table: _,
            any_unifications,
        } = self.storage;

        // Clear the tables of (lubs, glbs), so that we will create
        // fresh regions if we do a LUB operation. As it happens,
        // LUB/GLB are not performed by the MIR type-checker, which is
        // the one that uses this method, but it's good to be correct.
        lubs.clear();
        glbs.clear();

        let data = mem::take(data);

        // Clear all unifications and recreate the variables a "now
        // un-unified" state. Note that when we unify `a` and `b`, we
        // also insert `a <= b` and a `b <= a` edges, so the
        // `RegionConstraintData` contains the relationship here.
        if *any_unifications {
            *any_unifications = false;
            // Manually inlined `self.unification_table_mut()` as `self` is used in the closure.
            ut::UnificationTable::with_log(&mut self.storage.unification_table, &mut self.undo_log)
                .reset_unifications(|key| RegionVariableValue::Unknown {
                    universe: self.storage.var_infos[key.vid].universe,
                });
        }

        data
    }

    pub fn data(&self) -> &RegionConstraintData<'tcx> {
        &self.storage.data
    }

    pub(super) fn start_snapshot(&self) -> RegionSnapshot {
        debug!("RegionConstraintCollector: start_snapshot");
        RegionSnapshot { any_unifications: self.storage.any_unifications }
    }

    pub(super) fn rollback_to(&mut self, snapshot: RegionSnapshot) {
        debug!("RegionConstraintCollector: rollback_to({:?})", snapshot);
        self.storage.any_unifications = snapshot.any_unifications;
    }

    pub(super) fn new_region_var(
        &mut self,
        universe: ty::UniverseIndex,
        origin: RegionVariableOrigin<'tcx>,
    ) -> RegionVid {
        let vid = self.storage.var_infos.push(RegionVariableInfo { origin, universe });

        let u_vid = self.unification_table_mut().new_key(RegionVariableValue::Unknown { universe });
        assert_eq!(vid, u_vid.vid);
        self.undo_log.push(AddVar(vid));
        debug!("created new region variable {:?} in {:?} with origin {:?}", vid, universe, origin);
        vid
    }

    /// Returns the origin for the given variable.
    pub(super) fn var_origin(&self, vid: RegionVid) -> RegionVariableOrigin<'tcx> {
        self.storage.var_infos[vid].origin
    }

    fn add_constraint(&mut self, constraint: Constraint<'tcx>, origin: SubregionOrigin<'tcx>) {
        // cannot add constraints once regions are resolved
        debug!("RegionConstraintCollector: add_constraint({:?})", constraint);

        let index = self.storage.data.constraints.len();
        self.storage.data.constraints.push((constraint, origin));
        self.undo_log.push(AddConstraint(index));
    }

    fn add_verify(&mut self, verify: Verify<'tcx>) {
        // cannot add verifys once regions are resolved
        debug!("RegionConstraintCollector: add_verify({:?})", verify);

        // skip no-op cases known to be satisfied
        if let VerifyBound::AllBounds(ref bs) = verify.bound
            && bs.is_empty()
        {
            return;
        }

        let index = self.storage.data.verifys.len();
        self.storage.data.verifys.push(verify);
        self.undo_log.push(AddVerify(index));
    }

    pub(super) fn make_eqregion(
        &mut self,
        origin: SubregionOrigin<'tcx>,
        a: Region<'tcx>,
        b: Region<'tcx>,
    ) {
        if a != b {
            // Eventually, it would be nice to add direct support for
            // equating regions.
            self.make_subregion(origin.clone(), a, b);
            self.make_subregion(origin, b, a);

            match (a.kind(), b.kind()) {
                (ty::ReVar(a), ty::ReVar(b)) => {
                    debug!("make_eqregion: unifying {:?} with {:?}", a, b);
                    if self.unification_table_mut().unify_var_var(a, b).is_ok() {
                        self.storage.any_unifications = true;
                    }
                }
                (ty::ReVar(vid), _) => {
                    debug!("make_eqregion: unifying {:?} with {:?}", vid, b);
                    if self
                        .unification_table_mut()
                        .unify_var_value(vid, RegionVariableValue::Known { value: b })
                        .is_ok()
                    {
                        self.storage.any_unifications = true;
                    };
                }
                (_, ty::ReVar(vid)) => {
                    debug!("make_eqregion: unifying {:?} with {:?}", a, vid);
                    if self
                        .unification_table_mut()
                        .unify_var_value(vid, RegionVariableValue::Known { value: a })
                        .is_ok()
                    {
                        self.storage.any_unifications = true;
                    };
                }
                (_, _) => {}
            }
        }
    }

    #[instrument(skip(self, origin), level = "debug")]
    pub(super) fn make_subregion(
        &mut self,
        origin: SubregionOrigin<'tcx>,
        sub: Region<'tcx>,
        sup: Region<'tcx>,
    ) {
        // cannot add constraints once regions are resolved
        debug!("origin = {:#?}", origin);

        match (sub.kind(), sup.kind()) {
            (ReBound(..), _) | (_, ReBound(..)) => {
                span_bug!(origin.span(), "cannot relate bound region: {:?} <= {:?}", sub, sup);
            }
            (_, ReStatic) => {
                // all regions are subregions of static, so we can ignore this
            }
            (ReVar(sub_id), ReVar(sup_id)) => {
                if sub_id != sup_id {
                    self.add_constraint(
                        Constraint { kind: ConstraintKind::VarSubVar, sub, sup },
                        origin,
                    );
                }
            }
            (_, ReVar(_)) => self
                .add_constraint(Constraint { kind: ConstraintKind::RegSubVar, sub, sup }, origin),
            (ReVar(_), _) => self
                .add_constraint(Constraint { kind: ConstraintKind::VarSubReg, sub, sup }, origin),
            _ => {
                if sub != sup {
                    self.add_constraint(
                        Constraint { kind: ConstraintKind::RegSubReg, sub, sup },
                        origin,
                    )
                }
            }
        }
    }

    pub(super) fn verify_generic_bound(
        &mut self,
        origin: SubregionOrigin<'tcx>,
        kind: GenericKind<'tcx>,
        sub: Region<'tcx>,
        bound: VerifyBound<'tcx>,
    ) {
        self.add_verify(Verify { kind, origin, region: sub, bound });
    }

    pub(super) fn lub_regions(
        &mut self,
        tcx: TyCtxt<'tcx>,
        origin: SubregionOrigin<'tcx>,
        a: Region<'tcx>,
        b: Region<'tcx>,
    ) -> Region<'tcx> {
        // cannot add constraints once regions are resolved
        debug!("RegionConstraintCollector: lub_regions({:?}, {:?})", a, b);
        if a.is_static() || b.is_static() {
            a // nothing lives longer than static
        } else if a == b {
            a // LUB(a,a) = a
        } else {
            self.combine_vars(tcx, Lub, a, b, origin)
        }
    }

    pub(super) fn glb_regions(
        &mut self,
        tcx: TyCtxt<'tcx>,
        origin: SubregionOrigin<'tcx>,
        a: Region<'tcx>,
        b: Region<'tcx>,
    ) -> Region<'tcx> {
        // cannot add constraints once regions are resolved
        debug!("RegionConstraintCollector: glb_regions({:?}, {:?})", a, b);
        if a.is_static() {
            b // static lives longer than everything else
        } else if b.is_static() {
            a // static lives longer than everything else
        } else if a == b {
            a // GLB(a,a) = a
        } else {
            self.combine_vars(tcx, Glb, a, b, origin)
        }
    }

    /// Resolves a region var to its value in the unification table, if it exists.
    /// Otherwise, it is resolved to the root `ReVar` in the table.
    pub fn opportunistic_resolve_var(
        &mut self,
        tcx: TyCtxt<'tcx>,
        vid: ty::RegionVid,
    ) -> ty::Region<'tcx> {
        let mut ut = self.unification_table_mut();
        let root_vid = ut.find(vid).vid;
        match ut.probe_value(root_vid) {
            RegionVariableValue::Known { value } => value,
            RegionVariableValue::Unknown { .. } => ty::Region::new_var(tcx, root_vid),
        }
    }

    pub fn probe_value(
        &mut self,
        vid: ty::RegionVid,
    ) -> Result<ty::Region<'tcx>, ty::UniverseIndex> {
        match self.unification_table_mut().probe_value(vid) {
            RegionVariableValue::Known { value } => Ok(value),
            RegionVariableValue::Unknown { universe } => Err(universe),
        }
    }

    fn combine_map(&mut self, t: CombineMapType) -> &mut CombineMap<'tcx> {
        match t {
            Glb => &mut self.storage.glbs,
            Lub => &mut self.storage.lubs,
        }
    }

    fn combine_vars(
        &mut self,
        tcx: TyCtxt<'tcx>,
        t: CombineMapType,
        a: Region<'tcx>,
        b: Region<'tcx>,
        origin: SubregionOrigin<'tcx>,
    ) -> Region<'tcx> {
        let vars = TwoRegions { a, b };
        if let Some(&c) = self.combine_map(t).get(&vars) {
            return ty::Region::new_var(tcx, c);
        }
        let a_universe = self.universe(a);
        let b_universe = self.universe(b);
        let c_universe = cmp::max(a_universe, b_universe);
        let c = self.new_region_var(c_universe, RegionVariableOrigin::Misc(origin.span()));
        self.combine_map(t).insert(vars, c);
        self.undo_log.push(AddCombination(t, vars));
        let new_r = ty::Region::new_var(tcx, c);
        for old_r in [a, b] {
            match t {
                Glb => self.make_subregion(origin.clone(), new_r, old_r),
                Lub => self.make_subregion(origin.clone(), old_r, new_r),
            }
        }
        debug!("combine_vars() c={:?}", c);
        new_r
    }

    pub fn universe(&mut self, region: Region<'tcx>) -> ty::UniverseIndex {
        match region.kind() {
            ty::ReStatic
            | ty::ReErased
            | ty::ReLateParam(..)
            | ty::ReEarlyParam(..)
            | ty::ReError(_) => ty::UniverseIndex::ROOT,
            ty::RePlaceholder(placeholder) => placeholder.universe,
            ty::ReVar(vid) => match self.probe_value(vid) {
                Ok(value) => self.universe(value),
                Err(universe) => universe,
            },
            ty::ReBound(..) => bug!("universe(): encountered bound region {:?}", region),
        }
    }

    pub fn vars_since_snapshot<'a>(
        &'a self,
        value_count: usize,
    ) -> (Range<RegionVid>, Vec<RegionVariableOrigin<'tcx>>) {
        let range =
            RegionVid::from(value_count)..RegionVid::from(self.storage.unification_table.len());
        (
            range.clone(),
            (range.start..range.end).map(|index| self.storage.var_infos[index].origin).collect(),
        )
    }

    /// See `InferCtxt::region_constraints_added_in_snapshot`.
    pub fn region_constraints_added_in_snapshot(&self, mark: &Snapshot<'tcx>) -> bool {
        self.undo_log
            .region_constraints_in_snapshot(mark)
            .any(|&elt| matches!(elt, AddConstraint(_)))
    }

    #[inline]
    fn unification_table_mut(&mut self) -> super::UnificationTable<'_, 'tcx, RegionVidKey<'tcx>> {
        ut::UnificationTable::with_log(&mut self.storage.unification_table, self.undo_log)
    }
}

impl fmt::Debug for RegionSnapshot {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        write!(f, "RegionSnapshot")
    }
}

impl<'tcx> fmt::Debug for GenericKind<'tcx> {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        match *self {
            GenericKind::Param(ref p) => write!(f, "{p:?}"),
            GenericKind::Placeholder(ref p) => write!(f, "{p:?}"),
            GenericKind::Alias(ref p) => write!(f, "{p:?}"),
        }
    }
}

impl<'tcx> fmt::Display for GenericKind<'tcx> {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        match *self {
            GenericKind::Param(ref p) => write!(f, "{p}"),
            GenericKind::Placeholder(ref p) => write!(f, "{p}"),
            GenericKind::Alias(ref p) => write!(f, "{p}"),
        }
    }
}

impl<'tcx> GenericKind<'tcx> {
    pub fn to_ty(&self, tcx: TyCtxt<'tcx>) -> Ty<'tcx> {
        match *self {
            GenericKind::Param(ref p) => p.to_ty(tcx),
            GenericKind::Placeholder(ref p) => Ty::new_placeholder(tcx, *p),
            GenericKind::Alias(ref p) => p.to_ty(tcx),
        }
    }
}

impl<'tcx> VerifyBound<'tcx> {
    pub fn must_hold(&self) -> bool {
        match self {
            VerifyBound::IfEq(..) => false,
            VerifyBound::OutlivedBy(re) => re.is_static(),
            VerifyBound::IsEmpty => false,
            VerifyBound::AnyBound(bs) => bs.iter().any(|b| b.must_hold()),
            VerifyBound::AllBounds(bs) => bs.iter().all(|b| b.must_hold()),
        }
    }

    pub fn cannot_hold(&self) -> bool {
        match self {
            VerifyBound::IfEq(..) => false,
            VerifyBound::IsEmpty => false,
            VerifyBound::OutlivedBy(_) => false,
            VerifyBound::AnyBound(bs) => bs.iter().all(|b| b.cannot_hold()),
            VerifyBound::AllBounds(bs) => bs.iter().any(|b| b.cannot_hold()),
        }
    }

    pub fn or(self, vb: VerifyBound<'tcx>) -> VerifyBound<'tcx> {
        if self.must_hold() || vb.cannot_hold() {
            self
        } else if self.cannot_hold() || vb.must_hold() {
            vb
        } else {
            VerifyBound::AnyBound(vec![self, vb])
        }
    }
}

impl<'tcx> RegionConstraintData<'tcx> {
    /// Returns `true` if this region constraint data contains no constraints, and `false`
    /// otherwise.
    pub fn is_empty(&self) -> bool {
        let RegionConstraintData { constraints, verifys } = self;
        constraints.is_empty() && verifys.is_empty()
    }
}

impl<'tcx> Rollback<UndoLog<'tcx>> for RegionConstraintStorage<'tcx> {
    fn reverse(&mut self, undo: UndoLog<'tcx>) {
        match undo {
            AddVar(vid) => {
                self.var_infos.pop().unwrap();
                assert_eq!(self.var_infos.len(), vid.index());
            }
            AddConstraint(index) => {
                self.data.constraints.pop().unwrap();
                assert_eq!(self.data.constraints.len(), index);
            }
            AddVerify(index) => {
                self.data.verifys.pop();
                assert_eq!(self.data.verifys.len(), index);
            }
            AddCombination(Glb, ref regions) => {
                self.glbs.remove(regions);
            }
            AddCombination(Lub, ref regions) => {
                self.lubs.remove(regions);
            }
        }
    }
}