lean4-htt/tests/elab/lcnfTypes.lean
Garmelon 08eb78a5b2
chore: switch to new test/bench suite (#12590)
This PR sets up the new integrated test/bench suite. It then migrates
all benchmarks and some related tests to the new suite. There's also
some documentation and some linting.

For now, a lot of the old tests are left alone so this PR doesn't become
even larger than it already is. Eventually, all tests should be migrated
to the new suite though so there isn't a confusing mix of two systems.
2026-02-25 13:51:53 +00:00

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import Lean
open Lean Compiler LCNF Meta
def test (declName : Name) : MetaM Unit := do
IO.println s!"{declName} : {← ppExpr (← LCNF.getOtherDeclBaseType declName [])}"
inductive Vec (α : Type u) : Nat → Type u
| nil : Vec α 0
| cons : α → Vec α n → Vec α (n+1)
def Vec.zip : Vec α n → Vec β n → Vec (α × β) n
| .cons a as, .cons b bs => .cons (a, b) (zip as bs)
| .nil, .nil => .nil
def Tuple (α : Type u) : Nat → Type u
| 0 => PUnit
| 1 => α
| n+2 => α × Tuple α n
def mkConstTuple (a : α) : (n : Nat) → Tuple α n
| 0 => ⟨⟩
| 1 => a
| n+2 => (a, mkConstTuple a n)
#eval test ``Vec.zip
#eval test ``mkConstTuple
#eval test ``Fin.add
#eval test ``Vec.cons
#eval test ``Eq.rec
#eval test ``GetElem.getElem
inductive HList {α : Type v} (β : α → Type u) : List α → Type (max u v)
| nil : HList β []
| cons : β i → HList β is → HList β (i::is)
infix:67 " :: " => HList.cons
inductive Member : α → List α → Type _
| head : Member a (a::as)
| tail : Member a bs → Member a (b::bs)
def HList.get : HList β is → Member i is → β i
| a::as, .head => a
| _::as, .tail h => as.get h
inductive Ty where
| nat
| fn : Ty → Ty → Ty
abbrev Ty.denote : Ty → Type
| nat => Nat
| fn a b => a.denote → b.denote
inductive Term : List Ty → Ty → Type
| var : Member ty ctx → Term ctx ty
| const : Nat → Term ctx .nat
| plus : Term ctx .nat → Term ctx .nat → Term ctx .nat
| app : Term ctx (.fn dom ran) → Term ctx dom → Term ctx ran
| lam : Term (dom :: ctx) ran → Term ctx (.fn dom ran)
| «let» : Term ctx ty₁ → Term (ty₁ :: ctx) ty₂ → Term ctx ty₂
def Term.denote : Term ctx ty → HList Ty.denote ctx → ty.denote
| var h, env => env.get h
| const n, _ => n
| plus a b, env => a.denote env + b.denote env
| app f a, env => f.denote env (a.denote env)
| lam b, env => fun x => b.denote (x :: env)
| «let» a b, env => b.denote (a.denote env :: env)
def Term.constFold : Term ctx ty → Term ctx ty
| const n => const n
| var h => var h
| app f a => app f.constFold a.constFold
| lam b => lam b.constFold
| «let» a b => «let» a.constFold b.constFold
| plus a b =>
match a.constFold, b.constFold with
| const n, const m => const (n+m)
| a', b' => plus a' b'
#eval test ``Term.constFold
#eval test ``Term.denote
#eval test ``HList.get
#eval test ``Member.head
#eval test ``Ty.denote
#eval test ``MonadControl.liftWith
#eval test ``MonadControl.restoreM
#eval test ``Decidable.casesOn
#eval test ``getConstInfo
#eval test ``instMonadMetaM
#eval test ``Lean.Meta.inferType
#eval test ``Elab.Term.elabTerm
#eval test ``Nat.add
structure Magma where
carrier : Type
mul : carrier → carrier → carrier
#eval test ``Magma.mul
def weird1 (c : Bool) : (cond c List Array) Nat :=
match c with
| true => []
| false => #[]
#eval test ``weird1
axiom monadList₁.{u} : Monad List.{u}
axiom monadList₂.{u} : Monad (fun α : Type u => List α)
axiom lamAny₁ (c : Bool) : Monad (fun α : Type => cond c (List α) (Array α))
axiom lamAny₂ (c : Bool) : Monad (cond c List.{0} Array.{0})
#eval test ``lamAny₁
#eval test ``lamAny₂
def testMono (declName : Name) : MetaM Unit := do
let base ← LCNF.getOtherDeclBaseType declName []
let mono ← LCNF.toMonoType base
IO.println s!"{declName} : {← ppExpr mono}"
set_option pp.explicit true
#eval testMono ``Term.constFold
#eval testMono ``Term.denote
#eval testMono ``HList.get
#eval testMono ``Member.head
#eval testMono ``Ty.denote
#eval testMono ``MonadControl.liftWith
#eval testMono ``MonadControl.restoreM
#eval testMono ``Decidable.casesOn
#eval testMono ``getConstInfo
#eval testMono ``instMonadMetaM
#eval testMono ``Lean.Meta.inferType
#eval testMono ``Elab.Term.elabTerm
#eval testMono ``Nat.add
#eval testMono ``Fin.add