import LSpec import Lean import Test.Common open Lean open Pantograph namespace Pantograph.Test.Tactic.Prograde def test_eval : TestT Elab.TermElabM Unit := do let expr := "forall (p q : Prop) (h: p), And (Or p q) (Or p q)" let expr ← parseSentence expr Meta.forallTelescope expr $ λ _ body => do let e ← match Parser.runParserCategory (env := ← MonadEnv.getEnv) (catName := `term) (input := "Or.inl h") (fileName := filename) with | .ok syn => pure syn | .error error => throwError "Failed to parse: {error}" -- Apply the tactic let goal ← Meta.mkFreshExprSyntheticOpaqueMVar body let target: Expr := mkAnd (mkOr (.fvar ⟨uniq 8⟩) (.fvar ⟨uniq 9⟩)) (mkOr (.fvar ⟨uniq 8⟩) (.fvar ⟨uniq 9⟩)) let h := .fvar ⟨uniq 8⟩ addTest $ LSpec.test "goals before" ((← toCondensedGoal goal.mvarId!).devolatilize == { context := #[ cdeclOf `p (.sort 0), cdeclOf `q (.sort 0), cdeclOf `h h ], target, }) let tactic := Tactic.evalDefine `h2 e let m := .mvar ⟨uniq 13⟩ let [newGoal] ← runTacticOnMVar tactic goal.mvarId! | panic! "Incorrect goal number" addTest $ LSpec.test "goals after" ((← toCondensedGoal newGoal).devolatilize == { context := #[ cdeclOf `p (.sort 0), cdeclOf `q (.sort 0), cdeclOf `h h, { userName := `h2, type := mkOr h m, value? := .some $ mkApp3 (mkConst `Or.inl) h m (.fvar ⟨uniq 10⟩) } ], target, }) addTest $ LSpec.test "assign" ((← getExprMVarAssignment? goal.mvarId!) == .some (.mvar newGoal)) def test_proof_eval : TestT Elab.TermElabM Unit := do let rootExpr ← parseSentence "∀ (p q: Prop), p → ((p ∨ q) ∨ (p ∨ q))" let state0 ← GoalState.create rootExpr let tactic := "intro p q h" let state1 ← match ← state0.tryTactic (goalId := 0) (tactic := tactic) with | .success state => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check tactic ((← state1.serializeGoals).map (·.devolatilize) = #[buildGoal [("p", "Prop"), ("q", "Prop"), ("h", "p")] "(p ∨ q) ∨ p ∨ q"]) let expr := "Or.inl (Or.inl h)" let state2 ← match ← state1.tryAssign (goalId := 0) (expr := expr) with | .success state => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check s!":= {expr}" ((← state2.serializeGoals).map (·.devolatilize) = #[]) let evalBind := "y" let evalExpr := "Or.inl h" let state2 ← match ← state1.tryDefine (goalId := 0) (binderName := evalBind) (expr := evalExpr) with | .success state => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check s!"eval {evalBind} := {evalExpr}" ((← state2.serializeGoals).map (·.devolatilize) = #[{ target := { pp? := .some "(p ∨ q) ∨ p ∨ q"}, vars := #[ { userName := "p", type? := .some { pp? := .some "Prop" }, isInaccessible? := .some false }, { userName := "q", type? := .some { pp? := .some "Prop" }, isInaccessible? := .some false }, { userName := "h", type? := .some { pp? := .some "p" }, isInaccessible? := .some false }, { userName := "y", type? := .some { pp? := .some "p ∨ ?m.25" }, value? := .some { pp? := .some "Or.inl h" }, isInaccessible? := .some false } ] }]) let expr := "Or.inl y" let state3 ← match ← state2.tryAssign (goalId := 0) (expr := expr) with | .success state => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check s!":= {expr}" ((← state3.serializeGoals).map (·.devolatilize) = #[]) addTest $ LSpec.check "(3 root)" state3.rootExpr?.isSome def test_proof_have : TestT Elab.TermElabM Unit := do let rootExpr ← parseSentence "∀ (p q: Prop), p → ((p ∨ q) ∨ (p ∨ q))" let state0 ← GoalState.create rootExpr let tactic := "intro p q h" let state1 ← match ← state0.tryTactic (goalId := 0) (tactic := tactic) with | .success state => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check tactic ((← state1.serializeGoals).map (·.devolatilize) = #[buildGoal [("p", "Prop"), ("q", "Prop"), ("h", "p")] "(p ∨ q) ∨ p ∨ q"]) let expr := "Or.inl (Or.inl h)" let state2 ← match ← state1.tryAssign (goalId := 0) (expr := expr) with | .success state => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check s!":= {expr}" ((← state2.serializeGoals).map (·.devolatilize) = #[]) let haveBind := "y" let haveType := "p ∨ q" let state2 ← match ← state1.tryHave (goalId := 0) (binderName := haveBind) (type := haveType) with | .success state => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check s!"have {haveBind}: {haveType}" ((← state2.serializeGoals).map (·.devolatilize) = #[ buildGoal [("p", "Prop"), ("q", "Prop"), ("h", "p")] "p ∨ q", buildGoal [("p", "Prop"), ("q", "Prop"), ("h", "p"), ("y", "p ∨ q")] "(p ∨ q) ∨ p ∨ q" ]) let expr := "Or.inl h" let state3 ← match ← state2.tryAssign (goalId := 0) (expr := expr) with | .success state => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check s!":= {expr}" ((← state3.serializeGoals).map (·.devolatilize) = #[]) let state2b ← match state3.continue state2 with | .ok state => pure state | .error e => do addTest $ assertUnreachable e return () let expr := "Or.inl y" let state4 ← match ← state2b.tryAssign (goalId := 0) (expr := expr) with | .success state => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check s!":= {expr}" ((← state4.serializeGoals).map (·.devolatilize) = #[]) addTest $ LSpec.check "(4 root)" state4.rootExpr?.isSome def test_let (specialized: Bool): TestT Elab.TermElabM Unit := do let rootExpr ← parseSentence "∀ (p q: Prop), p → ((p ∨ q) ∨ (p ∨ q))" let state0 ← GoalState.create rootExpr let tactic := "intro a p h" let state1 ← match ← state0.tryTactic (goalId := 0) (tactic := tactic) with | .success state => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check tactic ((← state1.serializeGoals).map (·.devolatilize) = #[{ target := { pp? := .some mainTarget }, vars := interiorVars, }]) let letType := "Nat" let expr := s!"let b: {letType} := _; _" let result2 ← match specialized with | true => state1.tryLet (goalId := 0) (binderName := "b") (type := letType) | false => state1.tryAssign (goalId := 0) (expr := expr) let state2 ← match result2 with | .success state => pure state | other => do addTest $ assertUnreachable $ other.toString return () let serializedState2 ← state2.serializeGoals let letBindName := if specialized then "b" else "_1" addTest $ LSpec.check expr (serializedState2.map (·.devolatilize) = #[{ target := { pp? := .some letType }, vars := interiorVars, userName? := .some letBindName }, { target := { pp? := .some mainTarget }, vars := interiorVars ++ #[{ userName := "b", type? := .some { pp? := .some letType }, value? := .some { pp? := .some s!"?{letBindName}" }, }], userName? := if specialized then .none else .some "_2", } ]) let tactic := "exact 1" let state3 ← match ← state2.tryTactic (goalId := 0) (tactic := tactic) with | .success state => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check tactic ((← state3.serializeGoals).map (·.devolatilize) = #[]) let state3r ← match state3.continue state2 with | .error msg => do addTest $ assertUnreachable $ msg return () | .ok state => pure state addTest $ LSpec.check "(continue)" ((← state3r.serializeGoals).map (·.devolatilize) = #[ { target := { pp? := .some mainTarget }, vars := interiorVars ++ #[{ userName := "b", type? := .some { pp? := .some "Nat" }, value? := .some { pp? := .some "1" }, }], userName? := if specialized then .none else .some "_2", } ]) let tactic := "exact h" match ← state3r.tryTactic (goalId := 0) (tactic := tactic) with | .failure #[message] => addTest $ LSpec.check tactic (message = s!"type mismatch\n h\nhas type\n a : Prop\nbut is expected to have type\n {mainTarget} : Prop") | other => do addTest $ assertUnreachable $ other.toString let tactic := "exact Or.inl (Or.inl h)" let state4 ← match ← state3r.tryTactic (goalId := 0) (tactic := tactic) with | .success state => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.test "(4 root)" state4.rootExpr?.isSome where mainTarget := "(a ∨ p) ∨ a ∨ p" interiorVars: Array Protocol.Variable := #[ { userName := "a", type? := .some { pp? := .some "Prop" }, }, { userName := "p", type? := .some { pp? := .some "Prop" }, }, { userName := "h", type? := .some { pp? := .some "a" }, } ] def suite (env: Environment): List (String × IO LSpec.TestSeq) := [ ("eval", test_eval), ("Proof eval", test_proof_eval), ("Proof have", test_proof_have), ("let via assign", test_let false), ("let via tryLet", test_let true), ] |>.map (λ (name, t) => (name, runTestTermElabM env t)) end Pantograph.Test.Tactic.Prograde