import Pantograph.Goal import Test.Common open Lean namespace Pantograph.Test.Tactic.Fragment private def buildGoal (nameType: List (String × String)) (target: String) (userName?: Option String := .none): Protocol.Goal := { userName?, target := { pp? := .some target}, vars := (nameType.map fun x => ({ userName := x.fst, type? := .some { pp? := .some x.snd }, })).toArray } abbrev TestM := TestT $ Elab.TermElabM example : ∀ (a b c1 c2: Nat), (b + a) + c1 = (b + a) + c2 → (a + b) + c1 = (b + a) + c2 := by intro a b c1 c2 h conv => lhs congr . rw [Nat.add_comm] . rfl exact h def test_conv: TestM Unit := do let rootTarget ← parseSentence "∀ (a b c1 c2: Nat), (b + a) + c1 = (b + a) + c2 → (a + b) + c1 = (b + a) + c2" let state0 ← GoalState.create rootTarget let tactic := "intro a b c1 c2 h" let state1 ← match ← state0.tacticOn (goalId := 0) (tactic := tactic) with | .success state _ => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check tactic ((← state1.serializeGoals).map (·.devolatilize) = #[interiorGoal [] "a + b + c1 = b + a + c2"]) let goalConv := state1.goals[0]! let state2 ← match ← state1.convEnter (state1.get! 0) with | .success state _ => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check "conv => ..." ((← state2.serializeGoals).map (·.devolatilize) = #[{ interiorGoal [] "a + b + c1 = b + a + c2" with isConversion := true }]) let convTactic := "rhs" let state3R ← match ← state2.tacticOn (goalId := 0) convTactic with | .success state _ => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check s!" {convTactic} (discard)" ((← state3R.serializeGoals).map (·.devolatilize) = #[{ interiorGoal [] "b + a + c2" with isConversion := true }]) let convTactic := "lhs" let state3L ← match ← state2.tacticOn (goalId := 0) convTactic with | .success state _ => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check s!" {convTactic}" ((← state3L.serializeGoals).map (·.devolatilize) = #[{ interiorGoal [] "a + b + c1" with isConversion := true }]) let convTactic := "congr" let state4 ← match ← state3L.tacticOn (goalId := 0) convTactic with | .success state _ => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check s!" {convTactic}" ((← state4.serializeGoals).map (·.devolatilize) = #[ { interiorGoal [] "a + b" with isConversion := true, userName? := .some "a" }, { interiorGoal [] "c1" with isConversion := true, userName? := .some "a" } ]) let convTactic := "rw [Nat.add_comm]" let state5_1 ← match ← state4.tacticOn (goalId := 0) convTactic with | .success state _ => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check s!" · {convTactic}" ((← state5_1.serializeGoals).map (·.devolatilize) = #[{ interiorGoal [] "b + a" with isConversion := true, userName? := .some "a" }]) let convTactic := "rfl" let state6_1 ← match ← state5_1.tacticOn (goalId := 0) convTactic with | .success state _ => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check s!" {convTactic}" ((← state6_1.serializeGoals).map (·.devolatilize) = #[]) let state4_1 ← match state6_1.continue state4 with | .ok state => pure state | .error e => do addTest $ expectationFailure "continue" e return () let convTactic := "rfl" let state6 ← match ← state4_1.tacticOn (goalId := 0) convTactic with | .success state _ => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check s!" · {convTactic}" ((← state6.serializeGoals).map (·.devolatilize) = #[]) let state1_1 ← match ← state6.fragmentExit goalConv with | .success state _ => pure state | other => do addTest $ assertUnreachable $ other.toString return () let tactic := "exact h" let stateF ← match ← state1_1.tacticOn (goalId := 0) (tactic := tactic) with | .success state _ => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check tactic ((← stateF.serializeGoals).map (·.devolatilize) = #[]) where h := "b + a + c1 = b + a + c2" interiorGoal (free: List (String × String)) (target: String) := let free := [("a", "Nat"), ("b", "Nat"), ("c1", "Nat"), ("c2", "Nat"), ("h", h)] ++ free buildGoal free target example : ∀ (a b c d: Nat), a + b = b + c → b + c = c + d → a + b = c + d := by intro a b c d h1 h2 calc a + b = b + c := by apply h1 _ = c + d := by apply h2 def test_calc: TestM Unit := do let rootTarget ← parseSentence "∀ (a b c d: Nat), a + b = b + c → b + c = c + d → a + b = c + d" let state0 ← GoalState.create rootTarget let tactic := "intro a b c d h1 h2" let state1 ← match ← state0.tacticOn (goalId := 0) (tactic := tactic) with | .success state _ => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check tactic ((← state1.serializeGoals).map (·.devolatilize) = #[interiorGoal [] "a + b = c + d"]) let pred := "a + b = b + c" let .success state1 _ ← state1.calcEnter state1.mainGoal?.get! | fail "Could not enter calc" let state2 ← match ← state1.tacticOn 0 pred with | .success state _ => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check s!"calc {pred} := _" ((← state2.serializeGoals).map (·.devolatilize) = #[ interiorGoal [] "a + b = b + c" (.some "calc"), interiorGoal [] "b + c = c + d" ]) addTest $ LSpec.test "(2.0 prev rhs)" (state2.calcPrevRhsOf? (state2.get! 0) |>.isNone) addTest $ LSpec.test "(2.1 prev rhs)" (state2.calcPrevRhsOf? (state2.get! 1) |>.isSome) let tactic := "apply h1" let state2m ← match ← state2.tacticOn (goalId := 0) (tactic := tactic) with | .success state _ => pure state | other => do addTest $ assertUnreachable $ other.toString return () let state3 ← match state2m.continue state2 with | .ok state => pure state | .error e => do addTest $ expectationFailure "continue" e return () let pred := "_ = c + d" let state4 ← match ← state3.tacticOn 0 pred with | .success state _ => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check s!"calc {pred} := _" ((← state4.serializeGoals).map (·.devolatilize) = #[ interiorGoal [] "b + c = c + d" (.some "calc") ]) addTest $ LSpec.test "(4.0 prev rhs)" (state4.calcPrevRhsOf? (state4.get! 0) |>.isNone) let tactic := "apply h2" let state4m ← match ← state4.tacticOn (goalId := 0) (tactic := tactic) with | .success state _ => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.test "(4m root)" state4m.rootExpr?.isSome where interiorGoal (free: List (String × String)) (target: String) (userName?: Option String := .none) := let free := [("a", "Nat"), ("b", "Nat"), ("c", "Nat"), ("d", "Nat"), ("h1", "a + b = b + c"), ("h2", "b + c = c + d")] ++ free buildGoal free target userName? def suite (env: Environment): List (String × IO LSpec.TestSeq) := [ ("conv", test_conv), ("calc", test_calc), ] |>.map (λ (name, t) => (name, runTestTermElabM env t)) end Pantograph.Test.Tactic.Fragment