import LSpec import Lean import Test.Common open Lean open Pantograph namespace Pantograph.Test.Tactic.Prograde def test_define : 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, }) let .some e ← getExprMVarAssignment? goal.mvarId! | panic! "Tactic must assign" addTest $ LSpec.test "assign" e.isLet def test_define_proof : 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" } }, { userName := "q", type? := .some { pp? := .some "Prop" } }, { userName := "h", type? := .some { pp? := .some "p" } }, { userName := "y", type? := .some { pp? := .some "p ∨ ?m.25" }, value? := .some { pp? := .some "Or.inl h" }, } ] }]) 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 fun_define_root_expr: ∀ (p: Prop), PProd (Nat → p) Unit → p := by intro p x apply x.fst exact 5 def test_define_root_expr : TestT Elab.TermElabM Unit := do --let rootExpr ← parseSentence "Nat" --let state0 ← GoalState.create rootExpr --let .success state1 ← state0.tryTactic (goalId := 0) "exact 5" | addTest $ assertUnreachable "exact 5" --let .some rootExpr := state1.rootExpr? | addTest $ assertUnreachable "Root expr" --addTest $ LSpec.check "root" ((toString $ ← Meta.ppExpr rootExpr) = "5") let rootExpr ← parseSentence "∀ (p: Prop), PProd (Nat → p) Unit → p" let state0 ← GoalState.create rootExpr let tactic := "intro p x" let .success state1 ← state0.tryTactic (goalId := 0) tactic | addTest $ assertUnreachable tactic let binderName := `binder let value := "x.fst" let expr ← state1.goals[0]!.withContext $ strToTermSyntax value let tacticM := Tactic.evalDefine binderName expr let .success state2 ← state1.tryTacticM (goalId := 0) tacticM | addTest $ assertUnreachable s!"define {binderName} := {value}" let tactic := s!"apply {binderName}" let .success state3 ← state2.tryTactic (goalId := 0) tactic | addTest $ assertUnreachable tactic let tactic := s!"exact 5" let .success state4 ← state3.tryTactic (goalId := 0) tactic | addTest $ assertUnreachable tactic let .some rootExpr := state4.rootExpr? | addTest $ assertUnreachable "Root expr" addTest $ LSpec.check "root" ((toString $ ← Meta.ppExpr rootExpr) = "fun p x =>\n let binder := x.fst;\n binder 5") --set_option pp.all true --#check @PSigma (α := Prop) (β := λ (p: Prop) => p) --def test_define_root_expr : TestT Elab.TermElabM Unit := do def test_have_proof : 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) = #[]) let .some rootExpr := state4.rootExpr? | addTest $ assertUnreachable "Root expr" addTest $ LSpec.check "root" ((toString $ ← Meta.ppExpr rootExpr) = "fun p q h y => Or.inl y") 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) := [ ("define", test_define), ("define proof", test_define_proof), ("define root expr", test_define_root_expr), ("have proof", test_have_proof), ("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