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1 // Copyright 2012 The Rust Project Developers. See the COPYRIGHT
2 // file at the top-level directory of this distribution and at
3 // http://rust-lang.org/COPYRIGHT.
4 //
5 // Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
6 // http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
7 // <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
8 // option. This file may not be copied, modified, or distributed
9 // except according to those terms.
10
11 ///////////////////////////////////////////////////////////////////////////
12 // # Type combining
13 //
14 // There are four type combiners: equate, sub, lub, and glb.  Each
15 // implements the trait `Combine` and contains methods for combining
16 // two instances of various things and yielding a new instance.  These
17 // combiner methods always yield a `Result<T>`.  There is a lot of
18 // common code for these operations, implemented as default methods on
19 // the `Combine` trait.
20 //
21 // Each operation may have side-effects on the inference context,
22 // though these can be unrolled using snapshots. On success, the
23 // LUB/GLB operations return the appropriate bound. The Eq and Sub
24 // operations generally return the first operand.
25 //
26 // ## Contravariance
27 //
28 // When you are relating two things which have a contravariant
29 // relationship, you should use `contratys()` or `contraregions()`,
30 // rather than inversing the order of arguments!  This is necessary
31 // because the order of arguments is not relevant for LUB and GLB.  It
32 // is also useful to track which value is the "expected" value in
33 // terms of error reporting.
34
35 use super::bivariate::Bivariate;
36 use super::equate::Equate;
37 use super::glb::Glb;
38 use super::lub::Lub;
39 use super::sub::Sub;
40 use super::InferCtxt;
41 use super::{MiscVariable, TypeTrace};
42 use super::type_variable::{RelationDir, BiTo, EqTo, SubtypeOf, SupertypeOf};
43
44 use ty::{IntType, UintType};
45 use ty::{self, Ty, TyCtxt};
46 use ty::error::TypeError;
47 use ty::fold::TypeFoldable;
48 use ty::relate::{RelateResult, TypeRelation};
49 use traits::PredicateObligations;
50
51 use syntax::ast;
52 use syntax::util::small_vector::SmallVector;
53 use syntax_pos::Span;
54
55 #[derive(Clone)]
56 pub struct CombineFields<'infcx, 'gcx: 'infcx+'tcx, 'tcx: 'infcx> {
57     pub infcx: &'infcx InferCtxt<'infcx, 'gcx, 'tcx>,
58     pub trace: TypeTrace<'tcx>,
59     pub cause: Option<ty::relate::Cause>,
60     pub obligations: PredicateObligations<'tcx>,
61 }
62
63 impl<'infcx, 'gcx, 'tcx> InferCtxt<'infcx, 'gcx, 'tcx> {
64     pub fn super_combine_tys<R>(&self,
65                                 relation: &mut R,
66                                 a: Ty<'tcx>,
67                                 b: Ty<'tcx>)
68                                 -> RelateResult<'tcx, Ty<'tcx>>
69         where R: TypeRelation<'infcx, 'gcx, 'tcx>
70     {
71         let a_is_expected = relation.a_is_expected();
72
73         match (&a.sty, &b.sty) {
74             // Relate integral variables to other types
75             (&ty::TyInfer(ty::IntVar(a_id)), &ty::TyInfer(ty::IntVar(b_id))) => {
76                 self.int_unification_table
77                     .borrow_mut()
78                     .unify_var_var(a_id, b_id)
79                     .map_err(|e| int_unification_error(a_is_expected, e))?;
80                 Ok(a)
81             }
82             (&ty::TyInfer(ty::IntVar(v_id)), &ty::TyInt(v)) => {
83                 self.unify_integral_variable(a_is_expected, v_id, IntType(v))
84             }
85             (&ty::TyInt(v), &ty::TyInfer(ty::IntVar(v_id))) => {
86                 self.unify_integral_variable(!a_is_expected, v_id, IntType(v))
87             }
88             (&ty::TyInfer(ty::IntVar(v_id)), &ty::TyUint(v)) => {
89                 self.unify_integral_variable(a_is_expected, v_id, UintType(v))
90             }
91             (&ty::TyUint(v), &ty::TyInfer(ty::IntVar(v_id))) => {
92                 self.unify_integral_variable(!a_is_expected, v_id, UintType(v))
93             }
94
95             // Relate floating-point variables to other types
96             (&ty::TyInfer(ty::FloatVar(a_id)), &ty::TyInfer(ty::FloatVar(b_id))) => {
97                 self.float_unification_table
98                     .borrow_mut()
99                     .unify_var_var(a_id, b_id)
100                     .map_err(|e| float_unification_error(relation.a_is_expected(), e))?;
101                 Ok(a)
102             }
103             (&ty::TyInfer(ty::FloatVar(v_id)), &ty::TyFloat(v)) => {
104                 self.unify_float_variable(a_is_expected, v_id, v)
105             }
106             (&ty::TyFloat(v), &ty::TyInfer(ty::FloatVar(v_id))) => {
107                 self.unify_float_variable(!a_is_expected, v_id, v)
108             }
109
110             // All other cases of inference are errors
111             (&ty::TyInfer(_), _) |
112             (_, &ty::TyInfer(_)) => {
113                 Err(TypeError::Sorts(ty::relate::expected_found(relation, &a, &b)))
114             }
115
116
117             _ => {
118                 ty::relate::super_relate_tys(relation, a, b)
119             }
120         }
121     }
122
123     fn unify_integral_variable(&self,
124                                vid_is_expected: bool,
125                                vid: ty::IntVid,
126                                val: ty::IntVarValue)
127                                -> RelateResult<'tcx, Ty<'tcx>>
128     {
129         self.int_unification_table
130             .borrow_mut()
131             .unify_var_value(vid, val)
132             .map_err(|e| int_unification_error(vid_is_expected, e))?;
133         match val {
134             IntType(v) => Ok(self.tcx.mk_mach_int(v)),
135             UintType(v) => Ok(self.tcx.mk_mach_uint(v)),
136         }
137     }
138
139     fn unify_float_variable(&self,
140                             vid_is_expected: bool,
141                             vid: ty::FloatVid,
142                             val: ast::FloatTy)
143                             -> RelateResult<'tcx, Ty<'tcx>>
144     {
145         self.float_unification_table
146             .borrow_mut()
147             .unify_var_value(vid, val)
148             .map_err(|e| float_unification_error(vid_is_expected, e))?;
149         Ok(self.tcx.mk_mach_float(val))
150     }
151 }
152
153 impl<'infcx, 'gcx, 'tcx> CombineFields<'infcx, 'gcx, 'tcx> {
154     pub fn tcx(&self) -> TyCtxt<'infcx, 'gcx, 'tcx> {
155         self.infcx.tcx
156     }
157
158     pub fn equate<'a>(&'a mut self, a_is_expected: bool) -> Equate<'a, 'infcx, 'gcx, 'tcx> {
159         Equate::new(self, a_is_expected)
160     }
161
162     pub fn bivariate<'a>(&'a mut self, a_is_expected: bool) -> Bivariate<'a, 'infcx, 'gcx, 'tcx> {
163         Bivariate::new(self, a_is_expected)
164     }
165
166     pub fn sub<'a>(&'a mut self, a_is_expected: bool) -> Sub<'a, 'infcx, 'gcx, 'tcx> {
167         Sub::new(self, a_is_expected)
168     }
169
170     pub fn lub<'a>(&'a mut self, a_is_expected: bool) -> Lub<'a, 'infcx, 'gcx, 'tcx> {
171         Lub::new(self, a_is_expected)
172     }
173
174     pub fn glb<'a>(&'a mut self, a_is_expected: bool) -> Glb<'a, 'infcx, 'gcx, 'tcx> {
175         Glb::new(self, a_is_expected)
176     }
177
178     pub fn instantiate(&mut self,
179                        a_ty: Ty<'tcx>,
180                        dir: RelationDir,
181                        b_vid: ty::TyVid,
182                        a_is_expected: bool)
183                        -> RelateResult<'tcx, ()>
184     {
185         // We use SmallVector here instead of Vec because this code is hot and
186         // it's rare that the stack length exceeds 1.
187         let mut stack = SmallVector::new();
188         stack.push((a_ty, dir, b_vid));
189         loop {
190             // For each turn of the loop, we extract a tuple
191             //
192             //     (a_ty, dir, b_vid)
193             //
194             // to relate. Here dir is either SubtypeOf or
195             // SupertypeOf. The idea is that we should ensure that
196             // the type `a_ty` is a subtype or supertype (respectively) of the
197             // type to which `b_vid` is bound.
198             //
199             // If `b_vid` has not yet been instantiated with a type
200             // (which is always true on the first iteration, but not
201             // necessarily true on later iterations), we will first
202             // instantiate `b_vid` with a *generalized* version of
203             // `a_ty`. Generalization introduces other inference
204             // variables wherever subtyping could occur (at time of
205             // this writing, this means replacing free regions with
206             // region variables).
207             let (a_ty, dir, b_vid) = match stack.pop() {
208                 None => break,
209                 Some(e) => e,
210             };
211             // Get the actual variable that b_vid has been inferred to
212             let (b_vid, b_ty) = {
213                 let mut variables = self.infcx.type_variables.borrow_mut();
214                 let b_vid = variables.root_var(b_vid);
215                 (b_vid, variables.probe_root(b_vid))
216             };
217
218             debug!("instantiate(a_ty={:?} dir={:?} b_vid={:?})",
219                    a_ty,
220                    dir,
221                    b_vid);
222
223             // Check whether `vid` has been instantiated yet.  If not,
224             // make a generalized form of `ty` and instantiate with
225             // that.
226             let b_ty = match b_ty {
227                 Some(t) => t, // ...already instantiated.
228                 None => {     // ...not yet instantiated:
229                     // Generalize type if necessary.
230                     let generalized_ty = match dir {
231                         EqTo => self.generalize(a_ty, b_vid, false),
232                         BiTo | SupertypeOf | SubtypeOf => self.generalize(a_ty, b_vid, true),
233                     }?;
234                     debug!("instantiate(a_ty={:?}, dir={:?}, \
235                                         b_vid={:?}, generalized_ty={:?})",
236                            a_ty, dir, b_vid,
237                            generalized_ty);
238                     self.infcx.type_variables
239                         .borrow_mut()
240                         .instantiate_and_push(
241                             b_vid, generalized_ty, &mut stack);
242                     generalized_ty
243                 }
244             };
245
246             // The original triple was `(a_ty, dir, b_vid)` -- now we have
247             // resolved `b_vid` to `b_ty`, so apply `(a_ty, dir, b_ty)`:
248             //
249             // FIXME(#16847): This code is non-ideal because all these subtype
250             // relations wind up attributed to the same spans. We need
251             // to associate causes/spans with each of the relations in
252             // the stack to get this right.
253             match dir {
254                 BiTo => self.bivariate(a_is_expected).relate(&a_ty, &b_ty),
255                 EqTo => self.equate(a_is_expected).relate(&a_ty, &b_ty),
256                 SubtypeOf => self.sub(a_is_expected).relate(&a_ty, &b_ty),
257                 SupertypeOf => self.sub(a_is_expected).relate_with_variance(
258                     ty::Contravariant, &a_ty, &b_ty),
259             }?;
260         }
261
262         Ok(())
263     }
264
265     /// Attempts to generalize `ty` for the type variable `for_vid`.  This checks for cycle -- that
266     /// is, whether the type `ty` references `for_vid`. If `make_region_vars` is true, it will also
267     /// replace all regions with fresh variables. Returns `TyError` in the case of a cycle, `Ok`
268     /// otherwise.
269     fn generalize(&self,
270                   ty: Ty<'tcx>,
271                   for_vid: ty::TyVid,
272                   make_region_vars: bool)
273                   -> RelateResult<'tcx, Ty<'tcx>>
274     {
275         let mut generalize = Generalizer {
276             infcx: self.infcx,
277             span: self.trace.cause.span,
278             for_vid: for_vid,
279             make_region_vars: make_region_vars,
280             cycle_detected: false
281         };
282         let u = ty.fold_with(&mut generalize);
283         if generalize.cycle_detected {
284             Err(TypeError::CyclicTy)
285         } else {
286             Ok(u)
287         }
288     }
289 }
290
291 struct Generalizer<'cx, 'gcx: 'cx+'tcx, 'tcx: 'cx> {
292     infcx: &'cx InferCtxt<'cx, 'gcx, 'tcx>,
293     span: Span,
294     for_vid: ty::TyVid,
295     make_region_vars: bool,
296     cycle_detected: bool,
297 }
298
299 impl<'cx, 'gcx, 'tcx> ty::fold::TypeFolder<'gcx, 'tcx> for Generalizer<'cx, 'gcx, 'tcx> {
300     fn tcx<'a>(&'a self) -> TyCtxt<'a, 'gcx, 'tcx> {
301         self.infcx.tcx
302     }
303
304     fn fold_ty(&mut self, t: Ty<'tcx>) -> Ty<'tcx> {
305         // Check to see whether the type we are genealizing references
306         // `vid`. At the same time, also update any type variables to
307         // the values that they are bound to. This is needed to truly
308         // check for cycles, but also just makes things readable.
309         //
310         // (In particular, you could have something like `$0 = Box<$1>`
311         //  where `$1` has already been instantiated with `Box<$0>`)
312         match t.sty {
313             ty::TyInfer(ty::TyVar(vid)) => {
314                 let mut variables = self.infcx.type_variables.borrow_mut();
315                 let vid = variables.root_var(vid);
316                 if vid == self.for_vid {
317                     self.cycle_detected = true;
318                     self.tcx().types.err
319                 } else {
320                     match variables.probe_root(vid) {
321                         Some(u) => {
322                             drop(variables);
323                             self.fold_ty(u)
324                         }
325                         None => t,
326                     }
327                 }
328             }
329             _ => {
330                 t.super_fold_with(self)
331             }
332         }
333     }
334
335     fn fold_region(&mut self, r: &'tcx ty::Region) -> &'tcx ty::Region {
336         match *r {
337             // Never make variables for regions bound within the type itself,
338             // nor for erased regions.
339             ty::ReLateBound(..) |
340             ty::ReErased => { return r; }
341
342             // Early-bound regions should really have been substituted away before
343             // we get to this point.
344             ty::ReEarlyBound(..) => {
345                 span_bug!(
346                     self.span,
347                     "Encountered early bound region when generalizing: {:?}",
348                     r);
349             }
350
351             // Always make a fresh region variable for skolemized regions;
352             // the higher-ranked decision procedures rely on this.
353             ty::ReSkolemized(..) => { }
354
355             // For anything else, we make a region variable, unless we
356             // are *equating*, in which case it's just wasteful.
357             ty::ReEmpty |
358             ty::ReStatic |
359             ty::ReScope(..) |
360             ty::ReVar(..) |
361             ty::ReFree(..) => {
362                 if !self.make_region_vars {
363                     return r;
364                 }
365             }
366         }
367
368         // FIXME: This is non-ideal because we don't give a
369         // very descriptive origin for this region variable.
370         self.infcx.next_region_var(MiscVariable(self.span))
371     }
372 }
373
374 pub trait RelateResultCompare<'tcx, T> {
375     fn compare<F>(&self, t: T, f: F) -> RelateResult<'tcx, T> where
376         F: FnOnce() -> TypeError<'tcx>;
377 }
378
379 impl<'tcx, T:Clone + PartialEq> RelateResultCompare<'tcx, T> for RelateResult<'tcx, T> {
380     fn compare<F>(&self, t: T, f: F) -> RelateResult<'tcx, T> where
381         F: FnOnce() -> TypeError<'tcx>,
382     {
383         self.clone().and_then(|s| {
384             if s == t {
385                 self.clone()
386             } else {
387                 Err(f())
388             }
389         })
390     }
391 }
392
393 fn int_unification_error<'tcx>(a_is_expected: bool, v: (ty::IntVarValue, ty::IntVarValue))
394                                -> TypeError<'tcx>
395 {
396     let (a, b) = v;
397     TypeError::IntMismatch(ty::relate::expected_found_bool(a_is_expected, &a, &b))
398 }
399
400 fn float_unification_error<'tcx>(a_is_expected: bool,
401                                  v: (ast::FloatTy, ast::FloatTy))
402                                  -> TypeError<'tcx>
403 {
404     let (a, b) = v;
405     TypeError::FloatMismatch(ty::relate::expected_found_bool(a_is_expected, &a, &b))
406 }