Universe level utilities for the code generator

Universe level parameter normalizer

The specializer creates "keys" for a function specialization. The key is an expression containing the function being specialized and the argument values used for the specialization. The key does not contain free variables, and function parameter names are irrelevant due to alpha equivalence. The universe level normalizer ensures the universe parameter names are irrelevant when comparing keys.

structure Lean.Compiler.LCNF.NormLevelParam.State : Type

• nextIdx : Nat

  Counter for generating new (normalized) universe parameter names.

• map : Lean.HashMap Lake.Name Lean.Level

  Mapping from existing universe parameter names to the new ones.

• paramNames : Array Lake.Name

  Parameters that have been normalized.

State for the universe level normalizer monad.

@[inline, reducible]

abbrev Lean.Compiler.LCNF.NormLevelParam.M (α : Type) : Type

Monad for the universe leve normalizer

Equations

• Lean.Compiler.LCNF.NormLevelParam.M = StateM Lean.Compiler.LCNF.NormLevelParam.State

partial def Lean.Compiler.LCNF.NormLevelParam.normLevel (u : Lean.Level) : Lean.Compiler.LCNF.NormLevelParam.M Lean.Level

Normalize universe level parameter names in the given universe level.

partial def Lean.Compiler.LCNF.NormLevelParam.normExpr (e : Lean.Expr) : Lean.Compiler.LCNF.NormLevelParam.M Lean.Expr

Normalize universe level parameter names in the given expression.

def Lean.Compiler.LCNF.normLevelParams (e : Lean.Expr) : Lean.Expr × List Lake.Name

Normalize universe level parameter names in the given expression. The function also returns the list of universe level parameter names that have been normalized.

Equations

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Universe level collector

This module extends support for Code. See Lean.Util.CollectLevelParams.lean

In the code specializer, we create new auxiliary declarations and the universe level parameter collector is used to setup the new auxiliary declarations.

See Decl.setLevelParams.

@[inline, reducible]

abbrev Lean.Compiler.LCNF.CollectLevelParams.visitType (type : Lean.Expr) : Lean.CollectLevelParams.Visitor

Equations

• Lean.Compiler.LCNF.CollectLevelParams.visitType type = Lean.CollectLevelParams.visitExpr type

def Lean.Compiler.LCNF.CollectLevelParams.visitArg (arg : Lean.Compiler.LCNF.Arg) : Lean.CollectLevelParams.Visitor

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def Lean.Compiler.LCNF.CollectLevelParams.visitArgs (args : Array Lean.Compiler.LCNF.Arg) : Lean.CollectLevelParams.Visitor

Equations

• Lean.Compiler.LCNF.CollectLevelParams.visitArgs args s = Array.foldl (fun s arg => Lean.Compiler.LCNF.CollectLevelParams.visitArg arg s) s args 0 (Array.size args)

def Lean.Compiler.LCNF.CollectLevelParams.visitLetValue (e : Lean.Compiler.LCNF.LetValue) : Lean.CollectLevelParams.Visitor

Equations

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def Lean.Compiler.LCNF.CollectLevelParams.visitParam (p : Lean.Compiler.LCNF.Param) : Lean.CollectLevelParams.Visitor

Equations

• Lean.Compiler.LCNF.CollectLevelParams.visitParam p = Lean.Compiler.LCNF.CollectLevelParams.visitType p.type

def Lean.Compiler.LCNF.CollectLevelParams.visitParams (ps : Array Lean.Compiler.LCNF.Param) : Lean.CollectLevelParams.Visitor

Equations

• Lean.Compiler.LCNF.CollectLevelParams.visitParams ps s = Array.foldl (fun s p => Lean.Compiler.LCNF.CollectLevelParams.visitParam p s) s ps 0 (Array.size ps)

partial def Lean.Compiler.LCNF.CollectLevelParams.visitAlt (alt : Lean.Compiler.LCNF.Alt) : Lean.CollectLevelParams.Visitor

partial def Lean.Compiler.LCNF.CollectLevelParams.visitAlts (alts : Array Lean.Compiler.LCNF.Alt) : Lean.CollectLevelParams.Visitor

partial def Lean.Compiler.LCNF.CollectLevelParams.visitCode : Lean.Compiler.LCNF.Code → Lean.CollectLevelParams.Visitor

def Lean.Compiler.LCNF.Decl.setLevelParams (decl : Lean.Compiler.LCNF.Decl) : Lean.Compiler.LCNF.Decl

Collect universe level parameters collecting in the type, parameters, and value, and then set decl.levelParams with the resulting value.

Equations

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