This PR introduces an explicit `defeq` attribute to mark theorems that can be used by `dsimp`. The benefit of an explicit attribute over the prior logic of looking at the proof body is that we can reliably omit theorem bodies across module boundaries. It also helps with intra-file parallelism. If a theorem is syntactically defined by `:= rfl`, then the attribute is assumed and need not given explicitly. This is a purely syntactic check and can be fooled, e.g. if in the current namespace, `rfl` is not actually “the” `rfl` of `Eq`. In that case, some other syntax has be used, such as `:= (rfl)`. This is also the way to go if a theorem can be proved by `defeq`, but one does not actually want `dsimp` to use this fact. The `defeq` attribute will look at the *type* of the declaration, not the body, to check if it really holds definitionally. Because of different reduction settings, this can sometimes go wrong. Then one should also write `:= (rfl)`, if one does not want this to be a defeq theorem. (If one does then this is currently not possible, but it’s probably a bad idea anyways). The `set_option debug.tactic.simp.checkDefEqAttr true`, `dsimp` will warn if could not apply a lemma due to a missing `defeq` attribute. With `set_option backward.dsimp.useDefEqAttr.get false` one can revert to the old behavior of inferring rfl-ness based on the theorem body. Both options will go away eventually (too bad we can’t mark them as deprecated right away, see #7969) Meta programs that generate theorems (e.g. equational theorems) can use `inferDefEqAttr` to set the attribute based on the theorem body of the just created declaration. This builds on #8501 to update Init to `@[expose]` a fair amount of definitions that, if not exposed, would prevent some existing `:= rfl` theorems from being `defeq` theorems. In the interest of starting backwards compatible, I exposed these function. Hopefully many can be un-exposed later again. A mathlib adaption branch exists that includes both the meta programming fixes and changes to the theorems (e.g. changing `:= by rfl` to `:= rfl`). With the module system there is now no special handling for `defeq` theorem bodies, because we don’t look at the body anymore. The previous hack is removed. The `defeq`-ness of the theorem needs to be checked in the context of the theorem’s *type*; the error message contains a hint if the defeq check fails because of the exported context.
465 lines
21 KiB
Text
465 lines
21 KiB
Text
/-
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Copyright (c) 2019 Microsoft Corporation. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Authors: Leonardo de Moura
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-/
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prelude
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import Lean.CoreM
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import Lean.MonadEnv
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namespace Lean
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inductive AttributeApplicationTime where
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| afterTypeChecking | afterCompilation | beforeElaboration
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deriving Inhabited, BEq
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abbrev AttrM := CoreM
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instance : MonadLift ImportM AttrM where
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monadLift x := do liftM (m := IO) (x { env := (← getEnv), opts := (← getOptions) })
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structure AttributeImplCore where
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/-- This is used as the target for go-to-definition queries for simple attributes -/
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ref : Name := by exact decl_name%
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name : Name
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descr : String
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applicationTime := AttributeApplicationTime.afterTypeChecking
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deriving Inhabited
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/-- You can tag attributes with the 'local' or 'scoped' kind.
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For example: `attribute [local myattr, scoped yourattr, theirattr]`.
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This is used to indicate how an attribute should be scoped.
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- local means that the attribute should only be applied in the current scope and forgotten once the current section, namespace, or file is closed.
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- scoped means that the attribute should only be applied while the namespace is open.
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- global means that the attribute should always be applied.
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Note that the attribute handler (`AttributeImpl.add`) is responsible for interpreting the kind and
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making sure that these kinds are respected.
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-/
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inductive AttributeKind
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| global | local | scoped
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deriving BEq, Inhabited
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instance : ToString AttributeKind where
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toString
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| .global => "global"
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| .local => "local"
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| .scoped => "scoped"
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structure AttributeImpl extends AttributeImplCore where
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/-- This is run when the attribute is applied to a declaration `decl`. `stx` is the syntax of the attribute including arguments. -/
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add (decl : Name) (stx : Syntax) (kind : AttributeKind) : AttrM Unit
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erase (decl : Name) : AttrM Unit := throwError "attribute cannot be erased"
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deriving Inhabited
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builtin_initialize attributeMapRef : IO.Ref (Std.HashMap Name AttributeImpl) ← IO.mkRef {}
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/-- Low level attribute registration function. -/
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def registerBuiltinAttribute (attr : AttributeImpl) : IO Unit := do
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let m ← attributeMapRef.get
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if m.contains attr.name then throw (IO.userError ("invalid builtin attribute declaration, '" ++ toString attr.name ++ "' has already been used"))
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unless (← initializing) do
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throw (IO.userError "failed to register attribute, attributes can only be registered during initialization")
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attributeMapRef.modify fun m => m.insert attr.name attr
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/-!
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Helper methods for decoding the parameters of builtin attributes that are defined before `Lean.Parser`.
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We have the following ones:
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```
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@[builtin_attr_parser] def simple := leading_parser ident >> optional (ppSpace >> (priorityParser <|> ident))
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@[builtin_attr_parser] def «macro» := leading_parser "macro " >> ident
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@[builtin_attr_parser] def «export» := leading_parser "export " >> ident
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```
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Note that we need the parsers for `class`, `instance`, `export` and `macros` because they are keywords.
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-/
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def Attribute.Builtin.ensureNoArgs (stx : Syntax) : AttrM Unit := do
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if stx.getKind == `Lean.Parser.Attr.simple && stx[1].isNone && stx[2].isNone then
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return ()
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else if stx.getKind == `Lean.Parser.Attr.«class» then
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return ()
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else match stx with
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| Syntax.missing => return () -- In the elaborator, we use `Syntax.missing` when creating attribute views for simple attributes such as `class and `inline
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| _ => throwErrorAt stx "unexpected attribute argument"
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def Attribute.Builtin.getIdent? (stx : Syntax) : AttrM (Option Syntax) := do
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if stx.getKind == `Lean.Parser.Attr.simple then
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if !stx[1].isNone && stx[1][0].isIdent then
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return some stx[1][0]
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else
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return none
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/- We handle `macro` here because it is handled by the generic `KeyedDeclsAttribute -/
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else if stx.getKind == `Lean.Parser.Attr.«macro» || stx.getKind == `Lean.Parser.Attr.«export» then
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return some stx[1]
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else
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throwErrorAt stx "unexpected attribute argument"
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def Attribute.Builtin.getIdent (stx : Syntax) : AttrM Syntax := do
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match (← getIdent? stx) with
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| some id => return id
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| none => throwErrorAt stx "unexpected attribute argument, identifier expected"
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def Attribute.Builtin.getId? (stx : Syntax) : AttrM (Option Name) := do
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let ident? ← getIdent? stx
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return Syntax.getId <$> ident?
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def Attribute.Builtin.getId (stx : Syntax) : AttrM Name := do
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return (← getIdent stx).getId
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def getAttrParamOptPrio (optPrioStx : Syntax) : AttrM Nat :=
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if optPrioStx.isNone then
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return eval_prio default
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else match optPrioStx[0].isNatLit? with
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| some prio => return prio
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| none => throwErrorAt optPrioStx "priority expected"
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def Attribute.Builtin.getPrio (stx : Syntax) : AttrM Nat := do
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if stx.getKind == `Lean.Parser.Attr.simple then
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getAttrParamOptPrio stx[1]
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else
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throwErrorAt stx "unexpected attribute argument, optional priority expected"
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/--
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Tag attributes are simple and efficient. They are useful for marking declarations in the modules where
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they were defined.
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The startup cost for this kind of attribute is very small since `addImportedFn` is a constant function.
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They provide the predicate `tagAttr.hasTag env decl` which returns true iff declaration `decl`
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is tagged in the environment `env`. -/
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structure TagAttribute where
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attr : AttributeImpl
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ext : PersistentEnvExtension Name Name NameSet
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deriving Inhabited
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def registerTagAttribute (name : Name) (descr : String)
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(validate : Name → AttrM Unit := fun _ => pure ()) (ref : Name := by exact decl_name%)
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(applicationTime := AttributeApplicationTime.afterTypeChecking)
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(asyncMode : EnvExtension.AsyncMode := .mainOnly) : IO TagAttribute := do
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let ext : PersistentEnvExtension Name Name NameSet ← registerPersistentEnvExtension {
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name := ref
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mkInitial := pure {}
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addImportedFn := fun _ _ => pure {}
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addEntryFn := fun (s : NameSet) n => s.insert n
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exportEntriesFn := fun es =>
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let r : Array Name := es.fold (fun a e => a.push e) #[]
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r.qsort Name.quickLt
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statsFn := fun s => "tag attribute" ++ Format.line ++ "number of local entries: " ++ format s.size
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asyncMode := asyncMode
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replay? := some fun _ newState newConsts s =>
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newConsts.foldl (init := s) fun s c =>
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if newState.contains c then
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s.insert c
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else s
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}
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let attrImpl : AttributeImpl := {
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ref, name, descr, applicationTime
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add := fun decl stx kind => do
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Attribute.Builtin.ensureNoArgs stx
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unless kind == AttributeKind.global do throwError "invalid attribute '{name}', must be global"
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let env ← getEnv
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unless (env.getModuleIdxFor? decl).isNone do
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throwError "invalid attribute '{name}', declaration {.ofConstName decl} is in an imported module"
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unless env.asyncMayContain decl do
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throwError "invalid attribute '{name}', declaration {.ofConstName decl} is not from the present async context {env.asyncPrefix?}"
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validate decl
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modifyEnv fun env => ext.addEntry env decl
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}
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registerBuiltinAttribute attrImpl
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return { attr := attrImpl, ext := ext }
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namespace TagAttribute
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/-- Sets the attribute (without running `validate`) -/
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def setTag [Monad m] [MonadError m] [MonadEnv m] (attr : TagAttribute) (decl : Name) : m Unit := do
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let env ← getEnv
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unless (env.getModuleIdxFor? decl).isNone do
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throwError "invalid attribute '{attr.attr.name}', declaration {.ofConstName decl} is in an imported module"
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unless env.asyncMayContain decl do
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throwError "invalid attribute '{attr.attr.name}', declaration {.ofConstName decl} is not from the present async context {env.asyncPrefix?}"
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modifyEnv fun env => attr.ext.addEntry env decl
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def hasTag (attr : TagAttribute) (env : Environment) (decl : Name) : Bool :=
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match env.getModuleIdxFor? decl with
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| some modIdx => (attr.ext.getModuleEntries env modIdx).binSearchContains decl Name.quickLt
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| none =>
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if attr.ext.toEnvExtension.asyncMode matches .async then
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-- It seems that the env extension API doesn't quite allow querying attributes in a way
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-- that works for realizable constants, but without waiting on proofs to finish.
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-- Until then, we use the following overapproximation, to be refined later:
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(attr.ext.findStateAsync env decl).contains decl ||
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(attr.ext.getState env (asyncMode := .local)).contains decl
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else
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(attr.ext.getState env).contains decl
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end TagAttribute
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/--
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A `TagAttribute` variant where we can attach parameters to attributes.
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It is slightly more expensive and consumes a little bit more memory than `TagAttribute`.
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They provide the function `pAttr.getParam env decl` which returns `some p` iff declaration `decl`
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contains the attribute `pAttr` with parameter `p`. -/
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structure ParametricAttribute (α : Type) where
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attr : AttributeImpl
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ext : PersistentEnvExtension (Name × α) (Name × α) (NameMap α)
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deriving Inhabited
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structure ParametricAttributeImpl (α : Type) extends AttributeImplCore where
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getParam : Name → Syntax → AttrM α
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afterSet : Name → α → AttrM Unit := fun _ _ _ => pure ()
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afterImport : Array (Array (Name × α)) → ImportM Unit := fun _ => pure ()
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def registerParametricAttribute (impl : ParametricAttributeImpl α) : IO (ParametricAttribute α) := do
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let ext : PersistentEnvExtension (Name × α) (Name × α) (NameMap α) ← registerPersistentEnvExtension {
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name := impl.ref
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mkInitial := pure {}
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addImportedFn := fun s => impl.afterImport s *> pure {}
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addEntryFn := fun (s : NameMap α) (p : Name × α) => s.insert p.1 p.2
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exportEntriesFn := fun m =>
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let r : Array (Name × α) := m.fold (fun a n p => a.push (n, p)) #[]
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r.qsort (fun a b => Name.quickLt a.1 b.1)
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statsFn := fun s => "parametric attribute" ++ Format.line ++ "number of local entries: " ++ format s.size
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}
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let attrImpl : AttributeImpl := {
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impl.toAttributeImplCore with
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add := fun decl stx kind => do
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unless kind == AttributeKind.global do throwError "invalid attribute '{impl.name}', must be global"
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let env ← getEnv
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unless (env.getModuleIdxFor? decl).isNone do
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throwError "invalid attribute '{impl.name}', declaration is in an imported module"
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let val ← impl.getParam decl stx
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modifyEnv fun env => ext.addEntry env (decl, val)
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try impl.afterSet decl val catch _ => setEnv env
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}
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registerBuiltinAttribute attrImpl
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pure { attr := attrImpl, ext := ext }
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namespace ParametricAttribute
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def getParam? [Inhabited α] (attr : ParametricAttribute α) (env : Environment) (decl : Name) : Option α :=
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match env.getModuleIdxFor? decl with
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| some modIdx =>
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match (attr.ext.getModuleEntries env modIdx).binSearch (decl, default) (fun a b => Name.quickLt a.1 b.1) with
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| some (_, val) => some val
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| none => none
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| none => (attr.ext.getState env).find? decl
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def setParam (attr : ParametricAttribute α) (env : Environment) (decl : Name) (param : α) : Except String Environment :=
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if (env.getModuleIdxFor? decl).isSome then
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Except.error ("invalid '" ++ toString attr.attr.name ++ "'.setParam, declaration is in an imported module")
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else if ((attr.ext.getState env).find? decl).isSome then
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Except.error ("invalid '" ++ toString attr.attr.name ++ "'.setParam, attribute has already been set")
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else
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Except.ok (attr.ext.addEntry env (decl, param))
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end ParametricAttribute
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/--
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Given a list `[a₁, ..., a_n]` of elements of type `α`, `EnumAttributes` provides an attribute `Attr_i` for
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associating a value `a_i` with an declaration. `α` is usually an enumeration type.
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Note that whenever we register an `EnumAttributes`, we create `n` attributes, but only one environment extension. -/
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structure EnumAttributes (α : Type) where
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attrs : List AttributeImpl
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ext : PersistentEnvExtension (Name × α) (Name × α) (NameMap α)
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deriving Inhabited
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def registerEnumAttributes (attrDescrs : List (Name × String × α))
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(validate : Name → α → AttrM Unit := fun _ _ => pure ())
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(applicationTime := AttributeApplicationTime.afterTypeChecking)
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(ref : Name := by exact decl_name%) : IO (EnumAttributes α) := do
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let ext : PersistentEnvExtension (Name × α) (Name × α) (NameMap α) ← registerPersistentEnvExtension {
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name := ref
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mkInitial := pure {}
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addImportedFn := fun _ _ => pure {}
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addEntryFn := fun (s : NameMap α) (p : Name × α) => s.insert p.1 p.2
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exportEntriesFn := fun m =>
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let r : Array (Name × α) := m.fold (fun a n p => a.push (n, p)) #[]
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r.qsort (fun a b => Name.quickLt a.1 b.1)
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statsFn := fun s => "enumeration attribute extension" ++ Format.line ++ "number of local entries: " ++ format s.size
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-- We assume (and check below) that, if used asynchronously, enum attributes are set only in the
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-- same context in which the tagged declaration was created
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asyncMode := .async
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replay? := some fun _ newState consts st => consts.foldl (init := st) fun st c =>
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match newState.find? c with
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| some v => st.insert c v
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| _ => st
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}
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let attrs := attrDescrs.map fun (name, descr, val) => {
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ref := ref
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name := name
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descr := descr
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add := fun decl stx kind => do
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Attribute.Builtin.ensureNoArgs stx
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unless kind == AttributeKind.global do throwError "invalid attribute '{name}', must be global"
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let env ← getEnv
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unless (env.getModuleIdxFor? decl).isNone do
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throwError "invalid attribute '{name}', declaration is in an imported module"
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validate decl val
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modifyEnv fun env => ext.addEntry env (decl, val)
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applicationTime := applicationTime
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: AttributeImpl
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}
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attrs.forM registerBuiltinAttribute
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pure { ext := ext, attrs := attrs }
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namespace EnumAttributes
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def getValue [Inhabited α] (attr : EnumAttributes α) (env : Environment) (decl : Name) : Option α :=
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match env.getModuleIdxFor? decl with
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| some modIdx =>
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match (attr.ext.getModuleEntries env modIdx).binSearch (decl, default) (fun a b => Name.quickLt a.1 b.1) with
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| some (_, val) => some val
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| none => none
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| none => (attr.ext.findStateAsync env decl).find? decl
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def setValue (attrs : EnumAttributes α) (env : Environment) (decl : Name) (val : α) : Except String Environment := do
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if (env.getModuleIdxFor? decl).isSome then
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throw s!"invalid '{attrs.ext.name}'.setValue, declaration is in an imported module"
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if !env.asyncMayContain decl then
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throw s!"invalid '{attrs.ext.name}'.setValue, declaration is not from this async context"
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if ((attrs.ext.findStateAsync env decl).find? decl).isSome then
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throw s!"invalid '{attrs.ext.name}'.setValue, attribute has already been set"
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return attrs.ext.addEntry env (decl, val)
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end EnumAttributes
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/-!
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Attribute extension and builders. We use builders to implement attribute factories for parser categories.
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-/
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|
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abbrev AttributeImplBuilder := Name → List DataValue → Except String AttributeImpl
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abbrev AttributeImplBuilderTable := Std.HashMap Name AttributeImplBuilder
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builtin_initialize attributeImplBuilderTableRef : IO.Ref AttributeImplBuilderTable ← IO.mkRef {}
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def registerAttributeImplBuilder (builderId : Name) (builder : AttributeImplBuilder) : IO Unit := do
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let table ← attributeImplBuilderTableRef.get
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if table.contains builderId then throw (IO.userError ("attribute implementation builder '" ++ toString builderId ++ "' has already been declared"))
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attributeImplBuilderTableRef.modify fun table => table.insert builderId builder
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structure AttributeExtensionOLeanEntry where
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builderId : Name
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ref : Name
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args : List DataValue
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|
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def mkAttributeImplOfEntry (e : AttributeExtensionOLeanEntry) : IO AttributeImpl := do
|
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let table ← attributeImplBuilderTableRef.get
|
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match table[e.builderId]? with
|
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| none => throw (IO.userError ("unknown attribute implementation builder '" ++ toString e.builderId ++ "'"))
|
||
| some builder => IO.ofExcept <| builder e.ref e.args
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|
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structure AttributeExtensionState where
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newEntries : List AttributeExtensionOLeanEntry := []
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map : Std.HashMap Name AttributeImpl
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deriving Inhabited
|
||
|
||
abbrev AttributeExtension := PersistentEnvExtension AttributeExtensionOLeanEntry (AttributeExtensionOLeanEntry × AttributeImpl) AttributeExtensionState
|
||
|
||
private def AttributeExtension.mkInitial : IO AttributeExtensionState := do
|
||
let map ← attributeMapRef.get
|
||
pure { map := map }
|
||
|
||
unsafe def mkAttributeImplOfConstantUnsafe (env : Environment) (opts : Options) (declName : Name) : Except String AttributeImpl :=
|
||
match env.find? declName with
|
||
| none => throw ("unknown constant '" ++ toString declName ++ "'")
|
||
| some info =>
|
||
match info.type with
|
||
| Expr.const `Lean.AttributeImpl _ => env.evalConst AttributeImpl opts declName
|
||
| _ => throw ("unexpected attribute implementation type at '" ++ toString declName ++ "' (`AttributeImpl` expected")
|
||
|
||
@[implemented_by mkAttributeImplOfConstantUnsafe]
|
||
opaque mkAttributeImplOfConstant (env : Environment) (opts : Options) (declName : Name) : Except String AttributeImpl
|
||
|
||
private def AttributeExtension.addImported (es : Array (Array AttributeExtensionOLeanEntry)) : ImportM AttributeExtensionState := do
|
||
let map ← attributeMapRef.get
|
||
let map ← es.foldlM
|
||
(fun map entries =>
|
||
entries.foldlM
|
||
(fun (map : Std.HashMap Name AttributeImpl) entry => do
|
||
let attrImpl ← mkAttributeImplOfEntry entry
|
||
return map.insert attrImpl.name attrImpl)
|
||
map)
|
||
map
|
||
pure { map := map }
|
||
|
||
private def addAttrEntry (s : AttributeExtensionState) (e : AttributeExtensionOLeanEntry × AttributeImpl) : AttributeExtensionState :=
|
||
{ s with map := s.map.insert e.2.name e.2, newEntries := e.1 :: s.newEntries }
|
||
|
||
builtin_initialize attributeExtension : AttributeExtension ←
|
||
registerPersistentEnvExtension {
|
||
mkInitial := AttributeExtension.mkInitial
|
||
addImportedFn := AttributeExtension.addImported
|
||
addEntryFn := addAttrEntry
|
||
exportEntriesFn := fun s => s.newEntries.reverse.toArray
|
||
statsFn := fun s => format "number of local entries: " ++ format s.newEntries.length
|
||
}
|
||
|
||
/-- Return true iff `n` is the name of a registered attribute. -/
|
||
@[export lean_is_attribute]
|
||
def isBuiltinAttribute (n : Name) : IO Bool := do
|
||
let m ← attributeMapRef.get; pure (m.contains n)
|
||
|
||
/-- Return the name of all registered attributes. -/
|
||
def getBuiltinAttributeNames : IO (List Name) :=
|
||
return (← attributeMapRef.get).fold (init := []) fun r n _ => n::r
|
||
|
||
def getBuiltinAttributeImpl (attrName : Name) : IO AttributeImpl := do
|
||
let m ← attributeMapRef.get
|
||
match m[attrName]? with
|
||
| some attr => pure attr
|
||
| none => throw (IO.userError ("unknown attribute '" ++ toString attrName ++ "'"))
|
||
|
||
@[export lean_attribute_application_time]
|
||
def getBuiltinAttributeApplicationTime (n : Name) : IO AttributeApplicationTime := do
|
||
let attr ← getBuiltinAttributeImpl n
|
||
pure attr.applicationTime
|
||
|
||
def isAttribute (env : Environment) (attrName : Name) : Bool :=
|
||
(attributeExtension.getState env).map.contains attrName
|
||
|
||
def getAttributeNames (env : Environment) : List Name :=
|
||
let m := (attributeExtension.getState env).map
|
||
m.fold (fun r n _ => n::r) []
|
||
|
||
def getAttributeImpl (env : Environment) (attrName : Name) : Except String AttributeImpl :=
|
||
let m := (attributeExtension.getState env).map
|
||
match m[attrName]? with
|
||
| some attr => pure attr
|
||
| none => throw ("unknown attribute '" ++ toString attrName ++ "'")
|
||
|
||
def registerAttributeOfBuilder (env : Environment) (builderId ref : Name) (args : List DataValue) : IO Environment := do
|
||
let entry := {builderId, ref, args}
|
||
let attrImpl ← mkAttributeImplOfEntry entry
|
||
if isAttribute env attrImpl.name then
|
||
throw (IO.userError ("invalid builtin attribute declaration, '" ++ toString attrImpl.name ++ "' has already been used"))
|
||
else
|
||
return attributeExtension.addEntry env (entry, attrImpl)
|
||
|
||
def Attribute.add (declName : Name) (attrName : Name) (stx : Syntax) (kind := AttributeKind.global) : AttrM Unit := do
|
||
let attr ← ofExcept <| getAttributeImpl (← getEnv) attrName
|
||
attr.add declName stx kind
|
||
|
||
def Attribute.erase (declName : Name) (attrName : Name) : AttrM Unit := do
|
||
let attr ← ofExcept <| getAttributeImpl (← getEnv) attrName
|
||
attr.erase declName
|
||
|
||
/-- `updateEnvAttributes` implementation -/
|
||
@[export lean_update_env_attributes]
|
||
def updateEnvAttributesImpl (env : Environment) : IO Environment := do
|
||
let map ← attributeMapRef.get
|
||
let s := attributeExtension.getState env
|
||
let s := map.fold (init := s) fun s attrName attrImpl =>
|
||
if s.map.contains attrName then
|
||
s
|
||
else
|
||
{ s with map := s.map.insert attrName attrImpl }
|
||
return attributeExtension.setState env s
|
||
|
||
/-- `getNumBuiltinAttributes` implementation -/
|
||
@[export lean_get_num_attributes] def getNumBuiltinAttributesImpl : IO Nat :=
|
||
return (← attributeMapRef.get).size
|
||
|
||
end Lean
|