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import Pantograph.Delate
import Test.Common
namespace Pantograph.Test.Metavar
open Lean
abbrev TestM := TestT $ ReaderT Protocol.Options Elab.TermElabM
-- Tests that all delay assigned mvars are instantiated
def test_instantiate_mvar: TestM Unit := do
let env β Lean.MonadEnv.getEnv
let value := "@Nat.le_trans 2 2 5 (@of_eq_true (@LE.le Nat instLENat 2 2) (@eq_true (@LE.le Nat instLENat 2 2) (@Nat.le_refl 2))) (@of_eq_true (@LE.le Nat instLENat 2 5) (@eq_true_of_decide (@LE.le Nat instLENat 2 5) (@Nat.decLe 2 5) (@Eq.refl Bool Bool.true)))"
let syn β match parseTerm env value with
| .ok s => pure $ s
| .error e => do
addTest $ assertUnreachable e
return ()
let expr β match β elabTerm syn with
| .ok expr => pure $ expr
| .error e => do
addTest $ assertUnreachable e
return ()
let t β Lean.Meta.inferType expr
checkEq "typing" (toString (β serializeExpressionSexp t))
"((:c LE.le) (:c Nat) (:c instLENat) ((:c OfNat.ofNat) (:mv _uniq.2) (:lit 2) (:mv _uniq.3)) ((:c OfNat.ofNat) (:mv _uniq.11) (:lit 5) (:mv _uniq.12)))"
return ()
def startProof (expr: String): TestM (Option GoalState) := do
let env β Lean.MonadEnv.getEnv
let syn? := parseTerm env expr
addTest $ LSpec.check s!"Parsing {expr}" (syn?.isOk)
match syn? with
| .error error =>
IO.println error
return Option.none
| .ok syn =>
let expr? β elabType syn
addTest $ LSpec.check s!"Elaborating" expr?.isOk
match expr? with
| .error error =>
IO.println error
return Option.none
| .ok expr =>
let goal β GoalState.create (expr := expr)
return Option.some goal
def buildGoal (nameType : List (Name Γ String)) (target : String)
(userName? : Option Name := .none) : Protocol.Goal :=
{
userName?,
target := { pp? := .some target},
vars := (nameType.map fun x => ({
userName := x.fst,
type? := .some { pp? := .some x.snd },
})).toArray
}
def proofRunner (env: Lean.Environment) (tests: TestM Unit): IO LSpec.TestSeq := do
let termElabM := tests.run LSpec.TestSeq.done |>.run {} -- with default options
let coreContext: Lean.Core.Context β createCoreContext #[]
let metaM := termElabM.run' (ctx := defaultElabContext)
let coreM := metaM.run'
match β (coreM.run' coreContext { env := env }).toBaseIO with
| .error exception =>
return LSpec.test "Exception" (s!"internal exception #{β exception.toMessageData.toString}" = "")
| .ok (_, a) =>
return a
/-- M-coupled goals -/
def test_m_couple: TestM Unit := do
let state? β startProof "(2: Nat) β€ 5"
let state0 β match state? with
| .some state => pure state
| .none => do
addTest $ assertUnreachable "Goal could not parse"
return ()
let state1 β match β state0.tacticOn (goalId := 0) (tactic := "apply Nat.le_trans") with
| .success state _ => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
addTest $ LSpec.check "apply Nat.le_trans" ((β state1.serializeGoals (options := β read)).map (Β·.target.pp?) =
#[.some "2 β€ ?m", .some "?m β€ 5", .some "Nat"])
checkTrue "(1 root)" $ Β¬ state1.isSolved
-- Set m to 3
let state2 β match β state1.tacticOn (goalId := 2) (tactic := "exact 3") with
| .success state _ => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
checkTrue "(1b root)" $ Β¬ state2.isSolved
let state1b β match state2.continue state1 with
| .error msg => do
addTest $ assertUnreachable $ msg
return ()
| .ok state => pure state
addTest $ LSpec.check "exact 3" ((β state1b.serializeGoals (options := β read)).map (Β·.target.pp?) =
#[.some "2 β€ 3", .some "3 β€ 5"])
checkTrue "(2 root)" $ Β¬ state1b.isSolved
def test_m_couple_simp: TestM Unit := do
let state? β startProof "(2: Nat) β€ 5"
let state0 β match state? with
| .some state => pure state
| .none => do
addTest $ assertUnreachable "Goal could not parse"
return ()
let state1 β match β state0.tacticOn (goalId := 0) (tactic := "apply Nat.le_trans") with
| .success state _ => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
let serializedState1 β state1.serializeGoals (options := { β read with printDependentMVars := true })
checkEq "apply Nat.le_trans" (serializedState1.map (Β·.target.pp?))
#[.some "2 β€ ?m", .some "?m β€ 5", .some "Nat"]
let n := state1.goals[2]!
checkEq "(metavariables)" (serializedState1.map (Β·.target.dependentMVars?.get!))
#[#[n.name], #[n.name], #[]]
let state2 β match β state1.tacticOn (goalId := 2) (tactic := "exact 2") with
| .success state _ => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
checkTrue "(1b root)" $ Β¬ state2.isSolved
let state1b β match state2.continue state1 with
| .error msg => do
addTest $ assertUnreachable $ msg
return ()
| .ok state => pure state
addTest $ LSpec.check "exact 2" ((β state1b.serializeGoals (options := β read)).map (Β·.target.pp?) =
#[.some "2 β€ 2", .some "2 β€ 5"])
checkTrue "(2 root)" $ Β¬ state1b.isSolved
let state3 β match β state1b.tacticOn (goalId := 0) (tactic := "simp") with
| .success state _ => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
let state4 β match state3.continue state1b with
| .error msg => do
addTest $ assertUnreachable $ msg
return ()
| .ok state => pure state
let state5 β match β state4.tacticOn (goalId := 0) (tactic := "simp") with
| .success state _ => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
state5.restoreMetaM
let root β match state5.rootExpr? with
| .some e => pure e
| .none =>
addTest $ assertUnreachable "(5 root)"
return ()
let rootStr: String := toString (β Lean.Meta.ppExpr root)
--checkEq "(5 root)" rootStr "Nat.le_trans (of_eq_true (_proof_4β 2)) (of_eq_true (eq_true_of_decide (Eq.refl true)))"
let unfoldedRoot β unfoldAuxLemmas root
checkEq "(5 root)" (toString (β Lean.Meta.ppExpr unfoldedRoot))
"Nat.le_trans (of_eq_true (eq_true (Nat.le_refl 2))) (of_eq_true (eq_true_of_decide (Eq.refl true)))"
return ()
def test_proposition_generation: TestM Unit := do
let state? β startProof "Ξ£' p:Prop, p"
let state0 β match state? with
| .some state => pure state
| .none => do
addTest $ assertUnreachable "Goal could not parse"
return ()
let state1 β match β state0.tacticOn (goalId := 0) (tactic := "apply PSigma.mk") with
| .success state _ => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
checkEq "apply PSigma.mk" ((β state1.serializeGoals (options := β read)).map (Β·.devolatilize))
#[
buildGoal [] "?fst" (userName? := `snd),
buildGoal [] "Prop" (userName? := `fst)
]
if let #[goal1, goal2] := β state1.serializeGoals (options := { (β read) with printExprAST := true }) then
addTest $ LSpec.test "(1 reference)" (goal1.target.sexp? = .some s!"(:mv {goal2.name})")
checkTrue "(1 root)" $ Β¬ state1.isSolved
let state2 β match β state1.tryAssign (state1.get! 0) (expr := "Ξ» (x: Nat) => _") with
| .success state _ => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
addTest $ LSpec.check ":= Ξ» (x: Nat), _" ((β state2.serializeGoals (options := β read)).map (Β·.target.pp?) =
#[.some "?m.9 x"])
checkTrue "(2 root)" $ Β¬ state2.isSolved
let assign := "Eq.refl x"
let state3 β match β state2.tryAssign (state2.get! 0) (expr := assign) with
| .success state _ => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
addTest $ LSpec.check s!":= {assign}" ((β state3.serializeGoals (options := β read)).map (Β·.target.pp?) =
#[])
checkTrue "(3 root)" state3.isSolved
return ()
def test_partial_continuation: TestM Unit := do
let state? β startProof "(2: Nat) β€ 5"
let state0 β match state? with
| .some state => pure state
| .none => do
addTest $ assertUnreachable "Goal could not parse"
return ()
let state1 β match β state0.tacticOn (goalId := 0) (tactic := "apply Nat.le_trans") with
| .success state _ => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
addTest $ LSpec.check "apply Nat.le_trans" ((β state1.serializeGoals (options := β read)).map (Β·.target.pp?) =
#[.some "2 β€ ?m", .some "?m β€ 5", .some "Nat"])
let state2 β match β state1.tacticOn (goalId := 2) (tactic := "apply Nat.succ") with
| .success state _ => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
addTest $ LSpec.check "apply Nat.succ" ((β state2.serializeGoals (options := β read)).map (Β·.target.pp?) =
#[.some "Nat"])
-- Execute a partial continuation
let coupled_goals := state1.goals ++ state2.goals
let state1b β match state2.resume (goals := coupled_goals) with
| .error msg => do
addTest $ assertUnreachable $ msg
return ()
| .ok state => pure state
addTest $ LSpec.check "(continue 1)" ((β state1b.serializeGoals (options := β read)).map (Β·.target.pp?) =
#[.some "2 β€ Nat.succ ?m", .some "Nat.succ ?m β€ 5", .some "Nat"])
checkTrue "(2 root)" state1b.rootExpr?.get!.hasExprMVar
-- Roundtrip
--let coupled_goals := coupled_goals.map (Ξ» g =>
-- { name := str_to_name $ serializeName g.name (sanitize := false)})
let coupled_goals := coupled_goals.map (Β·.name.toString)
let coupled_goals := coupled_goals.map ({ name := Β·.toName })
let state1b β match state2.resume (goals := coupled_goals) with
| .error msg => do
addTest $ assertUnreachable $ msg
return ()
| .ok state => pure state
checkEq "(continue 2)" ((β state1b.serializeGoals (options := β read)).map (Β·.target.pp?))
#[.some "2 β€ Nat.succ ?m", .some "Nat.succ ?m β€ 5", .some "Nat"]
checkTrue "(2 root)" state1b.rootExpr?.get!.hasExprMVar
-- Continuation should fail if the state does not exist:
match state0.resume coupled_goals with
| .error error => checkEq "(continuation failure message)" error s!"Goals {coupled_goals} are not in scope"
| .ok _ => fail "(continuation should fail)"
-- Continuation should fail if some goals have not been solved
match state2.continue state1 with
| .error error => checkEq "(continuation failure message)" error "Target state has unresolved goals"
| .ok _ => fail "(continuation should fail)"
return ()
def test_branch_unification : TestM Unit := do
let .ok rootTarget β elabTerm (β `(term|β (p q : Prop), p β p β§ (p β¨ q))) .none | unreachable!
let state β GoalState.create rootTarget
let .success state _ β state.tacticOn' 0 (β `(tactic|intro p q h)) | fail "intro failed to run"
let .success state _ β state.tacticOn' 0 (β `(tactic|apply And.intro)) | fail "apply And.intro failed to run"
let .success state1 _ β state.tacticOn' 0 (β `(tactic|exact h)) | fail "exact h failed to run"
let .success state2 _ β state.tacticOn' 1 (β `(tactic|apply Or.inl)) | fail "apply Or.inl failed to run"
checkEq "(state2 goals)" state2.goals.length 1
let state' β state2.replay state state1
checkEq "(state' goals)" state'.goals.length 1
let .success stateT _ β state'.tacticOn' 0 (β `(tactic|exact h)) | fail "exact h failed to run"
let .some root := stateT.rootExpr? | fail "Root expression must exist"
checkEq "(root)" (toString $ β Meta.ppExpr root) "fun p q h => β¨h, Or.inl hβ©"
/-- Test generating multiple aux decls -/
def test_restore_ngen : TestM Unit := do
let .ok rootTarget β elabTerm (β `(term|(2: Nat) β€ 3 β§ (3: Nat) β€ 5)) .none | unreachable!
let auxDeclNGen := (β getThe Core.State).auxDeclNGen
let state β GoalState.create rootTarget
let .success state _ β state.tacticOn' 0 (β `(tactic|apply And.intro)) | fail "apply And.intro failed to run"
let goal := state.goals[0]!
let type β goal.withContext do
let .ok type β elabTerm (β `(term|(2: Nat) β€ 3)) (.some $ .sort 0) | unreachable!
instantiateMVars type
modifyThe Core.State ({ Β· with auxDeclNGen })
let .success state _ β state.tryTacticM .unfocus (Tactic.assignWithAuxLemma type) | fail "left"
state.restoreMetaM
let goal := state.goals[0]!
let type β goal.withContext do
let .ok type β elabTerm (β `(term|(3: Nat) β€ 5)) (.some $ .sort 0) | unreachable!
instantiateMVars type
modifyThe Core.State ({ Β· with auxDeclNGen })
let .success state _ β state.tryTacticM .unfocus (Tactic.assignWithAuxLemma type) | fail "right"
checkTrue "root" state.isSolved
let .some root := state.rootExpr? | fail "Root expression must exist"
checkTrue "root has aux lemma" $ root.getUsedConstants.any isAuxLemma
checkEq "(root expression)" (toString $ β Meta.ppExpr root) "β¨_proof_1, _proof_2β©"
/-- Test merger when both branches have new aux lemmas -/
def test_replay_environment : TestM Unit := do
let .ok rootTarget β elabTerm (β `(term|(2: Nat) β€ 3 β§ (3: Nat) β€ 5)) .none | unreachable!
let auxDeclNGen := (β getThe Core.State).auxDeclNGen
let state β GoalState.create rootTarget
let .success state _ β state.tacticOn' 0 (β `(tactic|apply And.intro)) | fail "apply And.intro failed to run"
let goal := state.goals[0]!
let type β goal.withContext do
let .ok type β elabTerm (β `(term|(2: Nat) β€ 3)) (.some $ .sort 0) | unreachable!
instantiateMVars type
modifyThe Core.State ({ Β· with auxDeclNGen })
let .success state1 _ β state.tryTacticM goal (Tactic.assignWithAuxLemma type) | fail "left"
state.restoreMetaM
let goal := state.goals[1]!
let type β goal.withContext do
let .ok type β elabTerm (β `(term|(3: Nat) β€ 5)) (.some $ .sort 0) | unreachable!
instantiateMVars type
modifyThe Core.State ({ Β· with auxDeclNGen })
let .success state2 _ β state.tryTacticM goal (Tactic.assignWithAuxLemma type) | fail "right"
checkEq "(state1 goals)" state1.goals.length 0
checkEq "(state2 goals)" state2.goals.length 0
let stateT β state2.replay state state1
checkEq "(stateT goals)" stateT.goals.length 0
let .some root := stateT.rootExpr? | fail "Root expression must exist"
Meta.check root
checkTrue "root has aux lemma" $ root.getUsedConstants.any isAuxLemma
checkEq "(root)" (toString $ β Meta.ppExpr root) "β¨_proof_2, _proof_1β©"
let root β unfoldAuxLemmas root
checkEq "(root unfold)" (toString $ β Meta.ppExpr root) "β¨sorry, sorryβ©"
def test_subsume_fail : TestM Unit := do
let stDst β Elab.Term.elabTerm (β `(term|β (p : Prop), p β p β¨ p)) .none
let goalDst β Meta.forallTelescope stDst Ξ» _fvars target =>
Expr.mvarId! <$> Meta.mkFreshExprSyntheticOpaqueMVar target
let st β Elab.Term.elabTerm (β `(term|β (p : Prop) (f : (q : Prop) β q β q β¨ q), p β p β¨ p)) .none
let goalSrc β Meta.forallBoundedTelescope st (maxFVars? := .some 2) Ξ» _fvars target => do
let goal := (β Meta.mkFreshExprSyntheticOpaqueMVar target).mvarId!
let solution β Elab.Term.elabTerm (β `(term|f p)) target
goal.assign solution
return goal
let subsumeFlag β canSubsume? goalDst goalSrc
checkEq "Β¬ subsume" subsumeFlag .none
checkFalse "Β¬ assigned" $ β goalDst.isAssignedOrDelayedAssigned
def test_subsume_extra_fvar : TestM Unit := do
let stDst β Elab.Term.elabTerm (β `(term|β (p : Prop), p β p β¨ p)) .none
let goalDst β Meta.forallTelescope stDst Ξ» _fvars target =>
Expr.mvarId! <$> Meta.mkFreshExprSyntheticOpaqueMVar target
let st β Elab.Term.elabTerm (β `(term|β (p : Prop) (q : Prop) (h : p), p β¨ p)) .none
let goalSrc β Meta.forallTelescope st Ξ» fvars target => do
checkEq "fvars" fvars.size 3
let goal := (β Meta.mkFreshExprSyntheticOpaqueMVar target).mvarId!
let solution β instantiateMVars $ β Elab.Term.elabTerm (β `(term|Or.inl h)) target
goal.assign solution
checkFalse "solution mvar" solution.hasExprMVar
return goal
let subsumeFlag β canSubsume? goalDst goalSrc
checkEq "subsume" subsumeFlag .subsumed
goalDst.withContext do
let expr β instantiateMVars (.mvar goalDst)
Meta.check expr
checkFalse "assigned" expr.hasExprMVar
def test_subsume_not_prop : TestM Unit := do
let nat β Elab.Term.elabTerm (β `(term|Nat)) .none
let g1 β Expr.mvarId! <$> Meta.mkFreshExprSyntheticOpaqueMVar nat
let sol β Elab.Term.elabTerm (β `(term|123)) (.some nat)
g1.assign sol
let g2 β Expr.mvarId! <$> Meta.mkFreshExprSyntheticOpaqueMVar nat
let subsumeFlag β canSubsume? g2 g1
checkEq "Β¬ subsume" subsumeFlag .none
/-- This should cause delay assignment, if implemented in the most efficient way -/
def test_subsume_smaller : TestM Unit := do
let stDst β Elab.Term.elabTerm (β `(term|β (p : Prop) (q : Prop) (h : p), p β¨ p)) .none
let goalDst β Meta.forallTelescope stDst Ξ» _fvars target =>
Expr.mvarId! <$> Meta.mkFreshExprSyntheticOpaqueMVar target
let st β Elab.Term.elabTerm (β `(term|β (p : Prop) (h : p), p β¨ p)) .none
let goalSrc β Meta.forallTelescope st Ξ» _fvars target => do
let goal := (β Meta.mkFreshExprSyntheticOpaqueMVar target).mvarId!
let solution β instantiateMVars $ β Elab.Term.elabTerm (β `(term|Or.inl h)) target
goal.assign solution
checkFalse "solution mvar" solution.hasExprMVar
return goal
let subsumeFlag β canSubsume? goalDst goalSrc
checkEq "subsume" subsumeFlag .subsumed
goalDst.withContext do
let expr β instantiateMVars (.mvar goalDst)
Meta.check expr
checkFalse "assigned" expr.hasExprMVar
/-- Ensure that adding `have` statements will not cause the subsumption to halt -/
def test_subsume_have : TestM Unit := do
let stDst β Elab.Term.elabTerm (β `(term|β (p : Prop) (q : Prop) (h : p), p β¨ p)) .none
let goal0 β Meta.forallTelescope stDst Ξ» _fvars target =>
Expr.mvarId! <$> Meta.mkFreshExprSyntheticOpaqueMVar target
let { main := goal1, .. } β goal0.withContext do
let type β Elab.Term.elabTerm (β `(term|q β¨ q)) .none
Tactic.Β«haveΒ» goal0 `h1 type
let subsumeFlag β canSubsume? goal1 goal0
checkEq "subsume" subsumeFlag .none
/-- Unfolding not `@[reducible]` declarations should not immediately lead to cycles -/
def test_subsume_unfold (reducible : Bool) : TestM Unit := do
let annotation := if reducible then "@[reducible]\n" else ""
let env β extractEnvAfterUnit (β getEnv) s!"{annotation}def f (n : Nat) := n * 2"
withEnv env do
let identF := mkIdent `f
let rootTarget β Elab.Term.elabTerm (β `(term|β (n : Nat), $identF n = n + 1)) .none
let state0 β GoalState.create rootTarget
let .success state1 _ β state0.tacticOn' 0 (β `(tactic|intro n))
| fail "intro failed"
let .success state2 _ β state1.tacticOn' 0 (β `(tactic|unfold $identF))
| fail "unfold failed"
let (subsumeFlag, state3?, subsumptor?) β state2.subsume (state2.goals[0]!) state1.goalsArray
checkTrue "state" state3?.isNone
if reducible then
checkEq "subsume" subsumeFlag .cycle
checkTrue "subsumptor?" <| subsumptor? == state1.goals[0]!
else
checkEq "subsume" subsumeFlag .none
checkTrue "subsumptor?" subsumptor?.isNone
def test_subsume_cross_branch : TestM Unit := do
let rootTarget β Elab.Term.elabTerm (β `(term|β (p : Prop), p β p β§ p)) .none
let state0 β GoalState.create rootTarget
let .success state1 _ β state0.tacticOn' 0 (β `(tactic|intro p h))
| fail "intro failed"
let .success state2 _ β state1.tacticOn' 0 (β `(tactic|apply And.intro))
| fail "apply failed"
let .success state3 _ β state2.tacticOn' 0 (β `(tactic|exact h))
| fail "exact failed"
checkEq "state3" state3.goals.length 0
let goalR := state2.goals[1]!
let goalL := state2.goals[0]!
let (subsumeFlag, state4?, subsumptor?) β state2.subsume goalR #[goalL] (srcState? := state3)
checkEq "subsume" subsumeFlag .subsumed
let .some state4 := state4?
| fail "State must be present"
checkTrue "subsumptor?" <| subsumptor? == goalL
state4.withContext goalR do
checkTrue "state4/goalR" (β goalR.isAssigned)
checkEq "state4" state4.goals.length 1
let state5 β state3.replay state2 state4
checkEq "state goals" state5.goals.length 0
state5.withParentContext do
checkTrue "state5/goalL" (β goalL.isAssigned)
checkTrue "state5/goalR" (β goalR.isAssigned)
checkTrue "state" state5.isSolved
def suite (env: Environment): List (String Γ IO LSpec.TestSeq) :=
let tests := [
("Instantiate", test_instantiate_mvar),
("2 < 5 coupled", test_m_couple),
("2 < 5 simp", test_m_couple_simp),
("Proposition Generation", test_proposition_generation),
("Partial Continuation", test_partial_continuation),
("Branch Unification", test_branch_unification),
("Restore NGen", test_restore_ngen),
("Replay Environment", test_replay_environment),
("Subsume fail", test_subsume_fail),
("Subsume extra fvar", test_subsume_extra_fvar),
("Subsume smaller", test_subsume_not_prop),
("Subsume have", test_subsume_have),
("Subsume unfold irreducible", test_subsume_unfold false),
("Subsume unfold reducible", test_subsume_unfold true),
("Subsume cross branch", test_subsume_cross_branch),
]
tests.map (fun (name, test) => (name, proofRunner env test))
|