| // Copyright 2021 The Go Authors. All rights reserved. |
| // Use of this source code is governed by a BSD-style |
| // license that can be found in the LICENSE file. |
| |
| package types |
| |
| import ( |
| "go/ast" |
| "go/token" |
| ) |
| |
| // This file implements a check to validate that a Go package doesn't |
| // have unbounded recursive instantiation, which is not compatible |
| // with compilers using static instantiation (such as |
| // monomorphization). |
| // |
| // It implements a sort of "type flow" analysis by detecting which |
| // type parameters are instantiated with other type parameters (or |
| // types derived thereof). A package cannot be statically instantiated |
| // if the graph has any cycles involving at least one derived type. |
| // |
| // Concretely, we construct a directed, weighted graph. Vertices are |
| // used to represent type parameters as well as some defined |
| // types. Edges are used to represent how types depend on each other: |
| // |
| // * Everywhere a type-parameterized function or type is instantiated, |
| // we add edges to each type parameter from the vertices (if any) |
| // representing each type parameter or defined type referenced by |
| // the type argument. If the type argument is just the referenced |
| // type itself, then the edge has weight 0, otherwise 1. |
| // |
| // * For every defined type declared within a type-parameterized |
| // function or method, we add an edge of weight 1 to the defined |
| // type from each ambient type parameter. |
| // |
| // For example, given: |
| // |
| // func f[A, B any]() { |
| // type T int |
| // f[T, map[A]B]() |
| // } |
| // |
| // we construct vertices representing types A, B, and T. Because of |
| // declaration "type T int", we construct edges T<-A and T<-B with |
| // weight 1; and because of instantiation "f[T, map[A]B]" we construct |
| // edges A<-T with weight 0, and B<-A and B<-B with weight 1. |
| // |
| // Finally, we look for any positive-weight cycles. Zero-weight cycles |
| // are allowed because static instantiation will reach a fixed point. |
| |
| type monoGraph struct { |
| vertices []monoVertex |
| edges []monoEdge |
| |
| // canon maps method receiver type parameters to their respective |
| // receiver type's type parameters. |
| canon map[*TypeParam]*TypeParam |
| |
| // nameIdx maps a defined type or (canonical) type parameter to its |
| // vertex index. |
| nameIdx map[*TypeName]int |
| } |
| |
| type monoVertex struct { |
| weight int // weight of heaviest known path to this vertex |
| pre int // previous edge (if any) in the above path |
| len int // length of the above path |
| |
| // obj is the defined type or type parameter represented by this |
| // vertex. |
| obj *TypeName |
| } |
| |
| type monoEdge struct { |
| dst, src int |
| weight int |
| |
| pos token.Pos |
| typ Type |
| } |
| |
| func (check *Checker) monomorph() { |
| // We detect unbounded instantiation cycles using a variant of |
| // Bellman-Ford's algorithm. Namely, instead of always running |V| |
| // iterations, we run until we either reach a fixed point or we've |
| // found a path of length |V|. This allows us to terminate earlier |
| // when there are no cycles, which should be the common case. |
| |
| again := true |
| for again { |
| again = false |
| |
| for i, edge := range check.mono.edges { |
| src := &check.mono.vertices[edge.src] |
| dst := &check.mono.vertices[edge.dst] |
| |
| // N.B., we're looking for the greatest weight paths, unlike |
| // typical Bellman-Ford. |
| w := src.weight + edge.weight |
| if w <= dst.weight { |
| continue |
| } |
| |
| dst.pre = i |
| dst.len = src.len + 1 |
| if dst.len == len(check.mono.vertices) { |
| check.reportInstanceLoop(edge.dst) |
| return |
| } |
| |
| dst.weight = w |
| again = true |
| } |
| } |
| } |
| |
| func (check *Checker) reportInstanceLoop(v int) { |
| var stack []int |
| seen := make([]bool, len(check.mono.vertices)) |
| |
| // We have a path that contains a cycle and ends at v, but v may |
| // only be reachable from the cycle, not on the cycle itself. We |
| // start by walking backwards along the path until we find a vertex |
| // that appears twice. |
| for !seen[v] { |
| stack = append(stack, v) |
| seen[v] = true |
| v = check.mono.edges[check.mono.vertices[v].pre].src |
| } |
| |
| // Trim any vertices we visited before visiting v the first |
| // time. Since v is the first vertex we found within the cycle, any |
| // vertices we visited earlier cannot be part of the cycle. |
| for stack[0] != v { |
| stack = stack[1:] |
| } |
| |
| // TODO(mdempsky): Pivot stack so we report the cycle from the top? |
| |
| obj0 := check.mono.vertices[v].obj |
| check.errorf(obj0, _InvalidInstanceCycle, "instantiation cycle:") |
| |
| qf := RelativeTo(check.pkg) |
| for _, v := range stack { |
| edge := check.mono.edges[check.mono.vertices[v].pre] |
| obj := check.mono.vertices[edge.dst].obj |
| |
| switch obj.Type().(type) { |
| default: |
| panic("unexpected type") |
| case *Named: |
| check.errorf(atPos(edge.pos), _InvalidInstanceCycle, "\t%s implicitly parameterized by %s", obj.Name(), TypeString(edge.typ, qf)) // secondary error, \t indented |
| case *TypeParam: |
| check.errorf(atPos(edge.pos), _InvalidInstanceCycle, "\t%s instantiated as %s", obj.Name(), TypeString(edge.typ, qf)) // secondary error, \t indented |
| } |
| } |
| } |
| |
| // recordCanon records that tpar is the canonical type parameter |
| // corresponding to method type parameter mpar. |
| func (w *monoGraph) recordCanon(mpar, tpar *TypeParam) { |
| if w.canon == nil { |
| w.canon = make(map[*TypeParam]*TypeParam) |
| } |
| w.canon[mpar] = tpar |
| } |
| |
| // recordInstance records that the given type parameters were |
| // instantiated with the corresponding type arguments. |
| func (w *monoGraph) recordInstance(pkg *Package, pos token.Pos, tparams []*TypeParam, targs []Type, xlist []ast.Expr) { |
| for i, tpar := range tparams { |
| pos := pos |
| if i < len(xlist) { |
| pos = xlist[i].Pos() |
| } |
| w.assign(pkg, pos, tpar, targs[i]) |
| } |
| } |
| |
| // assign records that tpar was instantiated as targ at pos. |
| func (w *monoGraph) assign(pkg *Package, pos token.Pos, tpar *TypeParam, targ Type) { |
| // Go generics do not have an analog to C++`s template-templates, |
| // where a template parameter can itself be an instantiable |
| // template. So any instantiation cycles must occur within a single |
| // package. Accordingly, we can ignore instantiations of imported |
| // type parameters. |
| // |
| // TODO(mdempsky): Push this check up into recordInstance? All type |
| // parameters in a list will appear in the same package. |
| if tpar.Obj().Pkg() != pkg { |
| return |
| } |
| |
| // flow adds an edge from vertex src representing that typ flows to tpar. |
| flow := func(src int, typ Type) { |
| weight := 1 |
| if typ == targ { |
| weight = 0 |
| } |
| |
| w.addEdge(w.typeParamVertex(tpar), src, weight, pos, targ) |
| } |
| |
| // Recursively walk the type argument to find any defined types or |
| // type parameters. |
| var do func(typ Type) |
| do = func(typ Type) { |
| switch typ := typ.(type) { |
| default: |
| panic("unexpected type") |
| |
| case *TypeParam: |
| assert(typ.Obj().Pkg() == pkg) |
| flow(w.typeParamVertex(typ), typ) |
| |
| case *Named: |
| if src := w.localNamedVertex(pkg, typ.Origin()); src >= 0 { |
| flow(src, typ) |
| } |
| |
| targs := typ.TypeArgs() |
| for i := 0; i < targs.Len(); i++ { |
| do(targs.At(i)) |
| } |
| |
| case *Array: |
| do(typ.Elem()) |
| case *Basic: |
| // ok |
| case *Chan: |
| do(typ.Elem()) |
| case *Map: |
| do(typ.Key()) |
| do(typ.Elem()) |
| case *Pointer: |
| do(typ.Elem()) |
| case *Slice: |
| do(typ.Elem()) |
| |
| case *Interface: |
| for i := 0; i < typ.NumMethods(); i++ { |
| do(typ.Method(i).Type()) |
| } |
| case *Signature: |
| tuple := func(tup *Tuple) { |
| for i := 0; i < tup.Len(); i++ { |
| do(tup.At(i).Type()) |
| } |
| } |
| tuple(typ.Params()) |
| tuple(typ.Results()) |
| case *Struct: |
| for i := 0; i < typ.NumFields(); i++ { |
| do(typ.Field(i).Type()) |
| } |
| } |
| } |
| do(targ) |
| } |
| |
| // localNamedVertex returns the index of the vertex representing |
| // named, or -1 if named doesn't need representation. |
| func (w *monoGraph) localNamedVertex(pkg *Package, named *Named) int { |
| obj := named.Obj() |
| if obj.Pkg() != pkg { |
| return -1 // imported type |
| } |
| |
| root := pkg.Scope() |
| if obj.Parent() == root { |
| return -1 // package scope, no ambient type parameters |
| } |
| |
| if idx, ok := w.nameIdx[obj]; ok { |
| return idx |
| } |
| |
| idx := -1 |
| |
| // Walk the type definition's scope to find any ambient type |
| // parameters that it's implicitly parameterized by. |
| for scope := obj.Parent(); scope != root; scope = scope.Parent() { |
| for _, elem := range scope.elems { |
| if elem, ok := elem.(*TypeName); ok && !elem.IsAlias() && elem.Pos() < obj.Pos() { |
| if tpar, ok := elem.Type().(*TypeParam); ok { |
| if idx < 0 { |
| idx = len(w.vertices) |
| w.vertices = append(w.vertices, monoVertex{obj: obj}) |
| } |
| |
| w.addEdge(idx, w.typeParamVertex(tpar), 1, obj.Pos(), tpar) |
| } |
| } |
| } |
| } |
| |
| if w.nameIdx == nil { |
| w.nameIdx = make(map[*TypeName]int) |
| } |
| w.nameIdx[obj] = idx |
| return idx |
| } |
| |
| // typeParamVertex returns the index of the vertex representing tpar. |
| func (w *monoGraph) typeParamVertex(tpar *TypeParam) int { |
| if x, ok := w.canon[tpar]; ok { |
| tpar = x |
| } |
| |
| obj := tpar.Obj() |
| |
| if idx, ok := w.nameIdx[obj]; ok { |
| return idx |
| } |
| |
| if w.nameIdx == nil { |
| w.nameIdx = make(map[*TypeName]int) |
| } |
| |
| idx := len(w.vertices) |
| w.vertices = append(w.vertices, monoVertex{obj: obj}) |
| w.nameIdx[obj] = idx |
| return idx |
| } |
| |
| func (w *monoGraph) addEdge(dst, src, weight int, pos token.Pos, typ Type) { |
| // TODO(mdempsky): Deduplicate redundant edges? |
| w.edges = append(w.edges, monoEdge{ |
| dst: dst, |
| src: src, |
| weight: weight, |
| |
| pos: pos, |
| typ: typ, |
| }) |
| } |