1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
//! This module contains the "canonicalizer" itself.
//!
//! For an overview of what canonicalization is and how it fits into
//! rustc, check out the [chapter in the rustc dev guide][c].
//!
//! [c]: https://rust-lang.github.io/chalk/book/canonical_queries/canonicalization.html

use rustc_data_structures::fx::FxHashMap;
use rustc_index::Idx;
use rustc_middle::bug;
use rustc_middle::ty::fold::{TypeFoldable, TypeFolder, TypeSuperFoldable};
use rustc_middle::ty::{
    self, BoundVar, GenericArg, InferConst, List, Ty, TyCtxt, TypeFlags, TypeVisitableExt,
};
use smallvec::SmallVec;
use tracing::debug;

use crate::infer::canonical::{
    Canonical, CanonicalTyVarKind, CanonicalVarInfo, CanonicalVarKind, OriginalQueryValues,
};
use crate::infer::InferCtxt;

impl<'tcx> InferCtxt<'tcx> {
    /// Canonicalizes a query value `V`. When we canonicalize a query,
    /// we not only canonicalize unbound inference variables, but we
    /// *also* replace all free regions whatsoever. So for example a
    /// query like `T: Trait<'static>` would be canonicalized to
    ///
    /// ```text
    /// T: Trait<'?0>
    /// ```
    ///
    /// with a mapping M that maps `'?0` to `'static`.
    ///
    /// To get a good understanding of what is happening here, check
    /// out the [chapter in the rustc dev guide][c].
    ///
    /// [c]: https://rust-lang.github.io/chalk/book/canonical_queries/canonicalization.html#canonicalizing-the-query
    pub fn canonicalize_query<V>(
        &self,
        value: ty::ParamEnvAnd<'tcx, V>,
        query_state: &mut OriginalQueryValues<'tcx>,
    ) -> Canonical<'tcx, ty::ParamEnvAnd<'tcx, V>>
    where
        V: TypeFoldable<TyCtxt<'tcx>>,
    {
        let (param_env, value) = value.into_parts();
        let mut param_env = self.tcx.canonical_param_env_cache.get_or_insert(
            self.tcx,
            param_env,
            query_state,
            |tcx, param_env, query_state| {
                // FIXME(#118965): We don't canonicalize the static lifetimes that appear in the
                // `param_env` beacause they are treated differently by trait selection.
                Canonicalizer::canonicalize(
                    param_env,
                    None,
                    tcx,
                    &CanonicalizeFreeRegionsOtherThanStatic,
                    query_state,
                )
            },
        );

        param_env.defining_opaque_types = self.defining_opaque_types;

        Canonicalizer::canonicalize_with_base(
            param_env,
            value,
            Some(self),
            self.tcx,
            &CanonicalizeAllFreeRegions,
            query_state,
        )
        .unchecked_map(|(param_env, value)| param_env.and(value))
    }

    /// Canonicalizes a query *response* `V`. When we canonicalize a
    /// query response, we only canonicalize unbound inference
    /// variables, and we leave other free regions alone. So,
    /// continuing with the example from `canonicalize_query`, if
    /// there was an input query `T: Trait<'static>`, it would have
    /// been canonicalized to
    ///
    /// ```text
    /// T: Trait<'?0>
    /// ```
    ///
    /// with a mapping M that maps `'?0` to `'static`. But if we found that there
    /// exists only one possible impl of `Trait`, and it looks like
    /// ```ignore (illustrative)
    /// impl<T> Trait<'static> for T { .. }
    /// ```
    /// then we would prepare a query result R that (among other
    /// things) includes a mapping to `'?0 := 'static`. When
    /// canonicalizing this query result R, we would leave this
    /// reference to `'static` alone.
    ///
    /// To get a good understanding of what is happening here, check
    /// out the [chapter in the rustc dev guide][c].
    ///
    /// [c]: https://rust-lang.github.io/chalk/book/canonical_queries/canonicalization.html#canonicalizing-the-query-result
    pub fn canonicalize_response<V>(&self, value: V) -> Canonical<'tcx, V>
    where
        V: TypeFoldable<TyCtxt<'tcx>>,
    {
        let mut query_state = OriginalQueryValues::default();
        Canonicalizer::canonicalize(
            value,
            Some(self),
            self.tcx,
            &CanonicalizeQueryResponse,
            &mut query_state,
        )
    }

    pub fn canonicalize_user_type_annotation<V>(&self, value: V) -> Canonical<'tcx, V>
    where
        V: TypeFoldable<TyCtxt<'tcx>>,
    {
        let mut query_state = OriginalQueryValues::default();
        Canonicalizer::canonicalize(
            value,
            Some(self),
            self.tcx,
            &CanonicalizeUserTypeAnnotation,
            &mut query_state,
        )
    }
}

/// Controls how we canonicalize "free regions" that are not inference
/// variables. This depends on what we are canonicalizing *for* --
/// e.g., if we are canonicalizing to create a query, we want to
/// replace those with inference variables, since we want to make a
/// maximally general query. But if we are canonicalizing a *query
/// response*, then we don't typically replace free regions, as they
/// must have been introduced from other parts of the system.
trait CanonicalizeMode {
    fn canonicalize_free_region<'tcx>(
        &self,
        canonicalizer: &mut Canonicalizer<'_, 'tcx>,
        r: ty::Region<'tcx>,
    ) -> ty::Region<'tcx>;

    fn any(&self) -> bool;

    // Do we preserve universe of variables.
    fn preserve_universes(&self) -> bool;
}

struct CanonicalizeQueryResponse;

impl CanonicalizeMode for CanonicalizeQueryResponse {
    fn canonicalize_free_region<'tcx>(
        &self,
        canonicalizer: &mut Canonicalizer<'_, 'tcx>,
        mut r: ty::Region<'tcx>,
    ) -> ty::Region<'tcx> {
        let infcx = canonicalizer.infcx.unwrap();

        if let ty::ReVar(vid) = *r {
            r = infcx
                .inner
                .borrow_mut()
                .unwrap_region_constraints()
                .opportunistic_resolve_var(canonicalizer.tcx, vid);
            debug!(
                "canonical: region var found with vid {vid:?}, \
                     opportunistically resolved to {r:?}",
            );
        };

        match *r {
            ty::ReLateParam(_) | ty::ReErased | ty::ReStatic | ty::ReEarlyParam(..) => r,

            ty::RePlaceholder(placeholder) => canonicalizer.canonical_var_for_region(
                CanonicalVarInfo { kind: CanonicalVarKind::PlaceholderRegion(placeholder) },
                r,
            ),

            ty::ReVar(vid) => {
                let universe = infcx
                    .inner
                    .borrow_mut()
                    .unwrap_region_constraints()
                    .probe_value(vid)
                    .unwrap_err();
                canonicalizer.canonical_var_for_region(
                    CanonicalVarInfo { kind: CanonicalVarKind::Region(universe) },
                    r,
                )
            }

            _ => {
                // Other than `'static` or `'empty`, the query
                // response should be executing in a fully
                // canonicalized environment, so there shouldn't be
                // any other region names it can come up.
                //
                // rust-lang/rust#57464: `impl Trait` can leak local
                // scopes (in manner violating typeck). Therefore, use
                // `delayed_bug` to allow type error over an ICE.
                canonicalizer
                    .tcx
                    .dcx()
                    .delayed_bug(format!("unexpected region in query response: `{r:?}`"));
                r
            }
        }
    }

    fn any(&self) -> bool {
        false
    }

    fn preserve_universes(&self) -> bool {
        true
    }
}

struct CanonicalizeUserTypeAnnotation;

impl CanonicalizeMode for CanonicalizeUserTypeAnnotation {
    fn canonicalize_free_region<'tcx>(
        &self,
        canonicalizer: &mut Canonicalizer<'_, 'tcx>,
        r: ty::Region<'tcx>,
    ) -> ty::Region<'tcx> {
        match *r {
            ty::ReEarlyParam(_)
            | ty::ReLateParam(_)
            | ty::ReErased
            | ty::ReStatic
            | ty::ReError(_) => r,
            ty::ReVar(_) => canonicalizer.canonical_var_for_region_in_root_universe(r),
            ty::RePlaceholder(..) | ty::ReBound(..) => {
                // We only expect region names that the user can type.
                bug!("unexpected region in query response: `{:?}`", r)
            }
        }
    }

    fn any(&self) -> bool {
        false
    }

    fn preserve_universes(&self) -> bool {
        false
    }
}

struct CanonicalizeAllFreeRegions;

impl CanonicalizeMode for CanonicalizeAllFreeRegions {
    fn canonicalize_free_region<'tcx>(
        &self,
        canonicalizer: &mut Canonicalizer<'_, 'tcx>,
        r: ty::Region<'tcx>,
    ) -> ty::Region<'tcx> {
        canonicalizer.canonical_var_for_region_in_root_universe(r)
    }

    fn any(&self) -> bool {
        true
    }

    fn preserve_universes(&self) -> bool {
        false
    }
}

struct CanonicalizeFreeRegionsOtherThanStatic;

impl CanonicalizeMode for CanonicalizeFreeRegionsOtherThanStatic {
    fn canonicalize_free_region<'tcx>(
        &self,
        canonicalizer: &mut Canonicalizer<'_, 'tcx>,
        r: ty::Region<'tcx>,
    ) -> ty::Region<'tcx> {
        if r.is_static() { r } else { canonicalizer.canonical_var_for_region_in_root_universe(r) }
    }

    fn any(&self) -> bool {
        true
    }

    fn preserve_universes(&self) -> bool {
        false
    }
}

struct Canonicalizer<'cx, 'tcx> {
    /// Set to `None` to disable the resolution of inference variables.
    infcx: Option<&'cx InferCtxt<'tcx>>,
    tcx: TyCtxt<'tcx>,
    variables: SmallVec<[CanonicalVarInfo<'tcx>; 8]>,
    query_state: &'cx mut OriginalQueryValues<'tcx>,
    // Note that indices is only used once `var_values` is big enough to be
    // heap-allocated.
    indices: FxHashMap<GenericArg<'tcx>, BoundVar>,
    canonicalize_mode: &'cx dyn CanonicalizeMode,
    needs_canonical_flags: TypeFlags,

    binder_index: ty::DebruijnIndex,
}

impl<'cx, 'tcx> TypeFolder<TyCtxt<'tcx>> for Canonicalizer<'cx, 'tcx> {
    fn cx(&self) -> TyCtxt<'tcx> {
        self.tcx
    }

    fn fold_binder<T>(&mut self, t: ty::Binder<'tcx, T>) -> ty::Binder<'tcx, T>
    where
        T: TypeFoldable<TyCtxt<'tcx>>,
    {
        self.binder_index.shift_in(1);
        let t = t.super_fold_with(self);
        self.binder_index.shift_out(1);
        t
    }

    fn fold_region(&mut self, r: ty::Region<'tcx>) -> ty::Region<'tcx> {
        match *r {
            ty::ReBound(index, ..) => {
                if index >= self.binder_index {
                    bug!("escaping late-bound region during canonicalization");
                } else {
                    r
                }
            }

            ty::ReStatic
            | ty::ReEarlyParam(..)
            | ty::ReError(_)
            | ty::ReLateParam(_)
            | ty::RePlaceholder(..)
            | ty::ReVar(_)
            | ty::ReErased => self.canonicalize_mode.canonicalize_free_region(self, r),
        }
    }

    fn fold_ty(&mut self, mut t: Ty<'tcx>) -> Ty<'tcx> {
        match *t.kind() {
            ty::Infer(ty::TyVar(mut vid)) => {
                // We need to canonicalize the *root* of our ty var.
                // This is so that our canonical response correctly reflects
                // any equated inference vars correctly!
                let root_vid = self.infcx.unwrap().root_var(vid);
                if root_vid != vid {
                    t = Ty::new_var(self.tcx, root_vid);
                    vid = root_vid;
                }

                debug!("canonical: type var found with vid {:?}", vid);
                match self.infcx.unwrap().probe_ty_var(vid) {
                    // `t` could be a float / int variable; canonicalize that instead.
                    Ok(t) => {
                        debug!("(resolved to {:?})", t);
                        self.fold_ty(t)
                    }

                    // `TyVar(vid)` is unresolved, track its universe index in the canonicalized
                    // result.
                    Err(mut ui) => {
                        if !self.canonicalize_mode.preserve_universes() {
                            // FIXME: perf problem described in #55921.
                            ui = ty::UniverseIndex::ROOT;
                        }
                        self.canonicalize_ty_var(
                            CanonicalVarInfo {
                                kind: CanonicalVarKind::Ty(CanonicalTyVarKind::General(ui)),
                            },
                            t,
                        )
                    }
                }
            }

            ty::Infer(ty::IntVar(vid)) => {
                let nt = self.infcx.unwrap().opportunistic_resolve_int_var(vid);
                if nt != t {
                    return self.fold_ty(nt);
                } else {
                    self.canonicalize_ty_var(
                        CanonicalVarInfo { kind: CanonicalVarKind::Ty(CanonicalTyVarKind::Int) },
                        t,
                    )
                }
            }
            ty::Infer(ty::FloatVar(vid)) => {
                let nt = self.infcx.unwrap().opportunistic_resolve_float_var(vid);
                if nt != t {
                    return self.fold_ty(nt);
                } else {
                    self.canonicalize_ty_var(
                        CanonicalVarInfo { kind: CanonicalVarKind::Ty(CanonicalTyVarKind::Float) },
                        t,
                    )
                }
            }

            ty::Infer(ty::FreshTy(_) | ty::FreshIntTy(_) | ty::FreshFloatTy(_)) => {
                bug!("encountered a fresh type during canonicalization")
            }

            ty::Placeholder(mut placeholder) => {
                if !self.canonicalize_mode.preserve_universes() {
                    placeholder.universe = ty::UniverseIndex::ROOT;
                }
                self.canonicalize_ty_var(
                    CanonicalVarInfo { kind: CanonicalVarKind::PlaceholderTy(placeholder) },
                    t,
                )
            }

            ty::Bound(debruijn, _) => {
                if debruijn >= self.binder_index {
                    bug!("escaping bound type during canonicalization")
                } else {
                    t
                }
            }

            ty::Closure(..)
            | ty::CoroutineClosure(..)
            | ty::Coroutine(..)
            | ty::CoroutineWitness(..)
            | ty::Bool
            | ty::Char
            | ty::Int(..)
            | ty::Uint(..)
            | ty::Float(..)
            | ty::Adt(..)
            | ty::Str
            | ty::Error(_)
            | ty::Array(..)
            | ty::Slice(..)
            | ty::RawPtr(..)
            | ty::Ref(..)
            | ty::FnDef(..)
            | ty::FnPtr(..)
            | ty::Dynamic(..)
            | ty::Never
            | ty::Tuple(..)
            | ty::Alias(..)
            | ty::Foreign(..)
            | ty::Pat(..)
            | ty::Param(..) => {
                if t.flags().intersects(self.needs_canonical_flags) {
                    t.super_fold_with(self)
                } else {
                    t
                }
            }
        }
    }

    fn fold_const(&mut self, mut ct: ty::Const<'tcx>) -> ty::Const<'tcx> {
        match ct.kind() {
            ty::ConstKind::Infer(InferConst::Var(mut vid)) => {
                // We need to canonicalize the *root* of our const var.
                // This is so that our canonical response correctly reflects
                // any equated inference vars correctly!
                let root_vid = self.infcx.unwrap().root_const_var(vid);
                if root_vid != vid {
                    ct = ty::Const::new_var(self.tcx, root_vid);
                    vid = root_vid;
                }

                debug!("canonical: const var found with vid {:?}", vid);
                match self.infcx.unwrap().probe_const_var(vid) {
                    Ok(c) => {
                        debug!("(resolved to {:?})", c);
                        return self.fold_const(c);
                    }

                    // `ConstVar(vid)` is unresolved, track its universe index in the
                    // canonicalized result
                    Err(mut ui) => {
                        if !self.canonicalize_mode.preserve_universes() {
                            // FIXME: perf problem described in #55921.
                            ui = ty::UniverseIndex::ROOT;
                        }
                        return self.canonicalize_const_var(
                            CanonicalVarInfo { kind: CanonicalVarKind::Const(ui) },
                            ct,
                        );
                    }
                }
            }
            ty::ConstKind::Infer(InferConst::EffectVar(vid)) => {
                match self.infcx.unwrap().probe_effect_var(vid) {
                    Some(value) => return self.fold_const(value),
                    None => {
                        return self.canonicalize_const_var(
                            CanonicalVarInfo { kind: CanonicalVarKind::Effect },
                            ct,
                        );
                    }
                }
            }
            ty::ConstKind::Infer(InferConst::Fresh(_)) => {
                bug!("encountered a fresh const during canonicalization")
            }
            ty::ConstKind::Bound(debruijn, _) => {
                if debruijn >= self.binder_index {
                    bug!("escaping bound const during canonicalization")
                } else {
                    return ct;
                }
            }
            ty::ConstKind::Placeholder(placeholder) => {
                return self.canonicalize_const_var(
                    CanonicalVarInfo { kind: CanonicalVarKind::PlaceholderConst(placeholder) },
                    ct,
                );
            }
            _ => {}
        }

        if ct.flags().intersects(self.needs_canonical_flags) {
            ct.super_fold_with(self)
        } else {
            ct
        }
    }
}

impl<'cx, 'tcx> Canonicalizer<'cx, 'tcx> {
    /// The main `canonicalize` method, shared impl of
    /// `canonicalize_query` and `canonicalize_response`.
    fn canonicalize<V>(
        value: V,
        infcx: Option<&InferCtxt<'tcx>>,
        tcx: TyCtxt<'tcx>,
        canonicalize_region_mode: &dyn CanonicalizeMode,
        query_state: &mut OriginalQueryValues<'tcx>,
    ) -> Canonical<'tcx, V>
    where
        V: TypeFoldable<TyCtxt<'tcx>>,
    {
        let base = Canonical {
            max_universe: ty::UniverseIndex::ROOT,
            variables: List::empty(),
            value: (),
            defining_opaque_types: infcx.map(|i| i.defining_opaque_types).unwrap_or_default(),
        };
        Canonicalizer::canonicalize_with_base(
            base,
            value,
            infcx,
            tcx,
            canonicalize_region_mode,
            query_state,
        )
        .unchecked_map(|((), val)| val)
    }

    fn canonicalize_with_base<U, V>(
        base: Canonical<'tcx, U>,
        value: V,
        infcx: Option<&InferCtxt<'tcx>>,
        tcx: TyCtxt<'tcx>,
        canonicalize_region_mode: &dyn CanonicalizeMode,
        query_state: &mut OriginalQueryValues<'tcx>,
    ) -> Canonical<'tcx, (U, V)>
    where
        V: TypeFoldable<TyCtxt<'tcx>>,
    {
        let needs_canonical_flags = if canonicalize_region_mode.any() {
            TypeFlags::HAS_INFER | TypeFlags::HAS_PLACEHOLDER | TypeFlags::HAS_FREE_REGIONS
        } else {
            TypeFlags::HAS_INFER | TypeFlags::HAS_PLACEHOLDER
        };

        // Fast path: nothing that needs to be canonicalized.
        if !value.has_type_flags(needs_canonical_flags) {
            return base.unchecked_map(|b| (b, value));
        }

        let mut canonicalizer = Canonicalizer {
            infcx,
            tcx,
            canonicalize_mode: canonicalize_region_mode,
            needs_canonical_flags,
            variables: SmallVec::from_slice(base.variables),
            query_state,
            indices: FxHashMap::default(),
            binder_index: ty::INNERMOST,
        };
        if canonicalizer.query_state.var_values.spilled() {
            canonicalizer.indices = canonicalizer
                .query_state
                .var_values
                .iter()
                .enumerate()
                .map(|(i, &kind)| (kind, BoundVar::new(i)))
                .collect();
        }
        let out_value = value.fold_with(&mut canonicalizer);

        // Once we have canonicalized `out_value`, it should not
        // contain anything that ties it to this inference context
        // anymore.
        debug_assert!(!out_value.has_infer() && !out_value.has_placeholders());

        let canonical_variables =
            tcx.mk_canonical_var_infos(&canonicalizer.universe_canonicalized_variables());

        let max_universe = canonical_variables
            .iter()
            .map(|cvar| cvar.universe())
            .max()
            .unwrap_or(ty::UniverseIndex::ROOT);

        assert!(
            !infcx.is_some_and(|infcx| infcx.defining_opaque_types != base.defining_opaque_types)
        );
        Canonical {
            max_universe,
            variables: canonical_variables,
            value: (base.value, out_value),
            defining_opaque_types: base.defining_opaque_types,
        }
    }

    /// Creates a canonical variable replacing `kind` from the input,
    /// or returns an existing variable if `kind` has already been
    /// seen. `kind` is expected to be an unbound variable (or
    /// potentially a free region).
    fn canonical_var(&mut self, info: CanonicalVarInfo<'tcx>, kind: GenericArg<'tcx>) -> BoundVar {
        let Canonicalizer { variables, query_state, indices, .. } = self;

        let var_values = &mut query_state.var_values;

        let universe = info.universe();
        if universe != ty::UniverseIndex::ROOT {
            assert!(self.canonicalize_mode.preserve_universes());

            // Insert universe into the universe map. To preserve the order of the
            // universes in the value being canonicalized, we don't update the
            // universe in `info` until we have finished canonicalizing.
            match query_state.universe_map.binary_search(&universe) {
                Err(idx) => query_state.universe_map.insert(idx, universe),
                Ok(_) => {}
            }
        }

        // This code is hot. `variables` and `var_values` are usually small
        // (fewer than 8 elements ~95% of the time). They are SmallVec's to
        // avoid allocations in those cases. We also don't use `indices` to
        // determine if a kind has been seen before until the limit of 8 has
        // been exceeded, to also avoid allocations for `indices`.
        if !var_values.spilled() {
            // `var_values` is stack-allocated. `indices` isn't used yet. Do a
            // direct linear search of `var_values`.
            if let Some(idx) = var_values.iter().position(|&k| k == kind) {
                // `kind` is already present in `var_values`.
                BoundVar::new(idx)
            } else {
                // `kind` isn't present in `var_values`. Append it. Likewise
                // for `info` and `variables`.
                variables.push(info);
                var_values.push(kind);
                assert_eq!(variables.len(), var_values.len());

                // If `var_values` has become big enough to be heap-allocated,
                // fill up `indices` to facilitate subsequent lookups.
                if var_values.spilled() {
                    assert!(indices.is_empty());
                    *indices = var_values
                        .iter()
                        .enumerate()
                        .map(|(i, &kind)| (kind, BoundVar::new(i)))
                        .collect();
                }
                // The cv is the index of the appended element.
                BoundVar::new(var_values.len() - 1)
            }
        } else {
            // `var_values` is large. Do a hashmap search via `indices`.
            *indices.entry(kind).or_insert_with(|| {
                variables.push(info);
                var_values.push(kind);
                assert_eq!(variables.len(), var_values.len());
                BoundVar::new(variables.len() - 1)
            })
        }
    }

    /// Replaces the universe indexes used in `var_values` with their index in
    /// `query_state.universe_map`. This minimizes the maximum universe used in
    /// the canonicalized value.
    fn universe_canonicalized_variables(self) -> SmallVec<[CanonicalVarInfo<'tcx>; 8]> {
        if self.query_state.universe_map.len() == 1 {
            return self.variables;
        }

        let reverse_universe_map: FxHashMap<ty::UniverseIndex, ty::UniverseIndex> = self
            .query_state
            .universe_map
            .iter()
            .enumerate()
            .map(|(idx, universe)| (*universe, ty::UniverseIndex::from_usize(idx)))
            .collect();

        self.variables
            .iter()
            .map(|v| CanonicalVarInfo {
                kind: match v.kind {
                    CanonicalVarKind::Ty(CanonicalTyVarKind::Int | CanonicalTyVarKind::Float)
                    | CanonicalVarKind::Effect => {
                        return *v;
                    }
                    CanonicalVarKind::Ty(CanonicalTyVarKind::General(u)) => {
                        CanonicalVarKind::Ty(CanonicalTyVarKind::General(reverse_universe_map[&u]))
                    }
                    CanonicalVarKind::Region(u) => {
                        CanonicalVarKind::Region(reverse_universe_map[&u])
                    }
                    CanonicalVarKind::Const(u) => CanonicalVarKind::Const(reverse_universe_map[&u]),
                    CanonicalVarKind::PlaceholderTy(placeholder) => {
                        CanonicalVarKind::PlaceholderTy(ty::Placeholder {
                            universe: reverse_universe_map[&placeholder.universe],
                            ..placeholder
                        })
                    }
                    CanonicalVarKind::PlaceholderRegion(placeholder) => {
                        CanonicalVarKind::PlaceholderRegion(ty::Placeholder {
                            universe: reverse_universe_map[&placeholder.universe],
                            ..placeholder
                        })
                    }
                    CanonicalVarKind::PlaceholderConst(placeholder) => {
                        CanonicalVarKind::PlaceholderConst(ty::Placeholder {
                            universe: reverse_universe_map[&placeholder.universe],
                            ..placeholder
                        })
                    }
                },
            })
            .collect()
    }

    /// Shorthand helper that creates a canonical region variable for
    /// `r` (always in the root universe). The reason that we always
    /// put these variables into the root universe is because this
    /// method is used during **query construction:** in that case, we
    /// are taking all the regions and just putting them into the most
    /// generic context we can. This may generate solutions that don't
    /// fit (e.g., that equate some region variable with a placeholder
    /// it can't name) on the caller side, but that's ok, the caller
    /// can figure that out. In the meantime, it maximizes our
    /// caching.
    ///
    /// (This works because unification never fails -- and hence trait
    /// selection is never affected -- due to a universe mismatch.)
    fn canonical_var_for_region_in_root_universe(
        &mut self,
        r: ty::Region<'tcx>,
    ) -> ty::Region<'tcx> {
        self.canonical_var_for_region(
            CanonicalVarInfo { kind: CanonicalVarKind::Region(ty::UniverseIndex::ROOT) },
            r,
        )
    }

    /// Creates a canonical variable (with the given `info`)
    /// representing the region `r`; return a region referencing it.
    fn canonical_var_for_region(
        &mut self,
        info: CanonicalVarInfo<'tcx>,
        r: ty::Region<'tcx>,
    ) -> ty::Region<'tcx> {
        let var = self.canonical_var(info, r.into());
        let br = ty::BoundRegion { var, kind: ty::BrAnon };
        ty::Region::new_bound(self.cx(), self.binder_index, br)
    }

    /// Given a type variable `ty_var` of the given kind, first check
    /// if `ty_var` is bound to anything; if so, canonicalize
    /// *that*. Otherwise, create a new canonical variable for
    /// `ty_var`.
    fn canonicalize_ty_var(&mut self, info: CanonicalVarInfo<'tcx>, ty_var: Ty<'tcx>) -> Ty<'tcx> {
        debug_assert!(!self.infcx.is_some_and(|infcx| ty_var != infcx.shallow_resolve(ty_var)));
        let var = self.canonical_var(info, ty_var.into());
        Ty::new_bound(self.tcx, self.binder_index, var.into())
    }

    /// Given a type variable `const_var` of the given kind, first check
    /// if `const_var` is bound to anything; if so, canonicalize
    /// *that*. Otherwise, create a new canonical variable for
    /// `const_var`.
    fn canonicalize_const_var(
        &mut self,
        info: CanonicalVarInfo<'tcx>,
        const_var: ty::Const<'tcx>,
    ) -> ty::Const<'tcx> {
        debug_assert!(
            !self.infcx.is_some_and(|infcx| const_var != infcx.shallow_resolve_const(const_var))
        );
        let var = self.canonical_var(info, const_var.into());
        ty::Const::new_bound(self.tcx, self.binder_index, var)
    }
}