Once-per-file cache for tactics

This file defines cache data structures for tactics that are initialized the first time they are accessed. Since Lean 4 starts one process per file, these caches are once-per-file and can for example be used to cache information about the imported modules.

The Cache α data structure is the most generic version we define. It is created using Cache.mk f where f : MetaM α performs the initialization of the cache:

initialize numberOfImports : Cache Nat ← Cache.mk do
  (← getEnv).imports.size

-- (does not work in the same module where the cache is defined)
#eval show MetaM Nat from numberOfImports.get

The DeclCache α data structure computes a fold over the environment's constants: DeclCache.mk empty f constructs such a cache where empty : α and f : Name → ConstantInfo → α → MetaM α. The result of the constants in the imports is cached between tactic invocations, while for constants defined in the same file f is evaluated again every time. This kind of cache can be used e.g. to populate discrimination trees.

def Batteries.Tactic.Cache (α : Type) : Type

Once-per-file cache.

Equations

• Batteries.Tactic.Cache α = IO.Ref (Lean.MetaM α ⊕ Task (Except Lean.Exception α))

theorem Batteries.Tactic.instNonemptyCache {α : Type} : Nonempty (Batteries.Tactic.Cache α)

def Batteries.Tactic.Cache.mk {α : Type} (init : Lean.MetaM α) : IO (Batteries.Tactic.Cache α)

Creates a cache with an initialization function.

Equations

• Batteries.Tactic.Cache.mk init = liftM (IO.mkRef (Sum.inl init))

def Batteries.Tactic.Cache.get {m : Type → Type} {α : Type} [Monad m] [Lean.MonadEnv m] [Lean.MonadLog m] [Lean.MonadOptions m] [MonadLiftT BaseIO m] [MonadExcept Lean.Exception m] (cache : Batteries.Tactic.Cache α) : m α

Access the cache. Calling this function for the first time will initialize the cache with the function provided in the constructor.

Equations

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structure Batteries.Tactic.DeclCache (α : Type) : Type

Cached fold over the environment's declarations, where a given function is applied to α for every constant.

• mk' :: (
• cache : Batteries.Tactic.Cache α

  The cached data.

• addDecl : Lean.Name → Lean.ConstantInfo → α → Lean.MetaM α

  Function for adding a declaration from the current file to the cache.

• addLibraryDecl : Lean.Name → Lean.ConstantInfo → α → Lean.MetaM α

  Function for adding a declaration from the library to the cache. Defaults to the same behaviour as adding a declaration from the current file.

• )

theorem Batteries.Tactic.instNonemptyDeclCache {α✝ : Type} [Nonempty α✝] : Nonempty (Batteries.Tactic.DeclCache α✝)

def Batteries.Tactic.DeclCache.mk {α : Type} (profilingName : String) (pre : Lean.MetaM α := failure) (empty : α) (addDecl : Lean.Name → Lean.ConstantInfo → α → Lean.MetaM α) (addLibraryDecl : Lean.Name → Lean.ConstantInfo → α → Lean.MetaM α := addDecl) (post : α → Lean.MetaM α := fun (a : α) => pure a) : IO (Batteries.Tactic.DeclCache α)

Creates a DeclCache.

First, if pre is nonempty, run that for a value, and if successful populate the cache with that value.

If pre is empty, or it fails, the cached structure α is initialized with empty, and then addLibraryDecl is called for every imported constant. After all imported constants have been added, we run post. Finally, the result is cached.

When get is called, addDecl is also called for every constant in the current file.

Equations

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def Batteries.Tactic.DeclCache.get {α : Type} (cache : Batteries.Tactic.DeclCache α) : Lean.MetaM α

Access the cache. Calling this function for the first time will initialize the cache with the function provided in the constructor.

Equations

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@[reducible]

def Batteries.Tactic.DiscrTreeCache (α : Type) : Type

A type synonym for a DeclCache containing a pair of discrimination trees. The first will store declarations in the current file, the second will store declarations from imports (and will hopefully be "read-only" after creation).

Equations

• Batteries.Tactic.DiscrTreeCache α = Batteries.Tactic.DeclCache (Lean.Meta.DiscrTree α × Lean.Meta.DiscrTree α)

def Batteries.Tactic.DiscrTreeCache.mk {α : Type} [BEq α] (profilingName : String) (processDecl : Lean.Name → Lean.ConstantInfo → Lean.MetaM (Array (Array Lean.Meta.DiscrTree.Key × α))) (post? : Option (Array α → Array α) := none) (init : Lean.MetaM (Lean.Meta.DiscrTree α) := failure) : IO (Batteries.Tactic.DiscrTreeCache α)

Build a DiscrTreeCache, from a function that returns a collection of keys and values for each declaration.

Equations

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def Batteries.Tactic.DiscrTreeCache.getMatch {α : Type} (c : Batteries.Tactic.DiscrTreeCache α) (e : Lean.Expr) : Lean.MetaM (Array α)

Get matches from both the discrimination tree for declarations in the current file, and for the imports.

Note that if you are calling this multiple times with the same environment, it will rebuild the discrimination tree for the current file multiple times, and it would be more efficient to call c.get once, and then call DiscrTree.getMatch multiple times.

Equations

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