import Pantograph.Goal import Test.Common open Lean namespace Pantograph.Test.Tactic.Fragment private def buildGoal (nameType: List (String × String)) (target: String): Protocol.Goal := { 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_simple: 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 state1_1 ← match ← state4_1.tacticOn (goalId := 0) convTactic with | .success state _ => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check s!" · {convTactic}" ((← state1_1.serializeGoals).map (·.devolatilize) = #[interiorGoal [] "b + a + c1 = b + a + c2"]) checkEq "(fragments)" state1_1.fragments.size 0 /- 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 (p : Prop) (x y z : Nat) : p → (p → x = y) → x + z = y + z ∧ p := by intro hp hi apply And.intro conv => rhs arg 1 rw [←hi] rfl tactic => exact hp exact hp def test_conv_unshielded : TestM Unit := do let rootTarget ← parseSentence "∀ (p : Prop) (x y z : Nat), p → (p → x = y) → x + z = y + z ∧ p" let state ← GoalState.create rootTarget let tactic := "intro p x y z hp hi" let .success state _ ← state.tacticOn 0 tactic | fail "intro failed" let tactic := "apply And.intro" let .success state _ ← state.tacticOn 0 tactic | fail "apply failed" let .success state _ ← state.convEnter (.prefer state.goals[0]!) | fail "Cannot enter conversion tactic mode" let .success state _ ← state.tryTactic .unfocus "rhs" | fail "rhs failed" let tactic := "arg 1" let .success state _ ← state.tryTactic .unfocus tactic | fail s!"{tactic} failed" checkEq s!" {tactic}" ((← state.serializeGoals).map (·.devolatilize)) #[ { interiorGoal [] "y" with isConversion := true }, { interiorGoal [] "p" with userName? := "right", }, ] let tactic := "rw [←hi]" let .success state _ ← state.tryTactic .unfocus tactic | fail s!"{tactic} failed" checkEq s!" {tactic}" state.goals.length 3 let tactic := "rfl" let .success state _ ← state.tryTactic .unfocus tactic | fail s!"{tactic} failed" checkEq s!" {tactic}" ((← state.serializeGoals).map (·.devolatilize)) #[ interiorGoal [] "p", { interiorGoal [] "p" with userName? := "right", }, ] checkEq "(n goals)" state.goals.length 2 checkEq "(fragments)" state.fragments.size 0 let tactic := "exact hp" let .success state _ ← state.tryTactic .unfocus tactic | fail s!"{tactic} failed" let tactic := "exact hp" let .success state _ ← state.tryTactic .unfocus tactic | fail s!"{tactic} failed" let root? := state.rootExpr? checkTrue "root" root?.isSome where interiorGoal (free: List (String × String)) (target: String) := let free := [("p", "Prop"), ("x", "Nat"), ("y", "Nat"), ("z", "Nat"), ("hp", "p"), ("hi", "p → x = y")] ++ free buildGoal free target example : ∀ (x y z w : Nat), y = z → x + z = w → x + y = w := by intro x y z w hyz hxzw conv => lhs arg 2 rw [hyz] rfl exact hxzw def test_conv_unfinished : TestM Unit := do let rootTarget ← parseSentence "∀ (x y z w : Nat), y = z → x + z = w → x + y = w" let state ← GoalState.create rootTarget let tactic := "intro x y z w hyz hxzw" let .success state _ ← state.tacticOn 0 tactic | fail "intro failed" let convParent := state.goals[0]! let .success state _ ← state.convEnter (.prefer convParent) | fail "Cannot enter conversion tactic mode" let .success state _ ← state.tryTactic .unfocus "lhs" | fail "rhs failed" let tactic := "arg 2" let .success state _ ← state.tryTactic .unfocus tactic | fail s!"{tactic} failed" checkEq s!" {tactic}" ((← state.serializeGoals).map (·.devolatilize)) #[ { interiorGoal [] "y" with isConversion := true }, ] let tactic := "rw [hyz]" let .success state _ ← state.tryTactic .unfocus tactic | fail s!"{tactic} failed" checkEq s!" {tactic}" ((← state.serializeGoals).map (·.devolatilize)) #[ { interiorGoal [] "z" with isConversion := true }, ] checkTrue " (fragment)" $ state.fragments.contains state.mainGoal?.get! checkTrue " (fragment parent)" $ state.fragments.contains convParent checkTrue " (main goal)" state.mainGoal?.isSome let tactic := "rfl" let .success state _ ← state.tryTactic .unfocus tactic | fail s!"{tactic} failed" checkEq s!" {tactic}" ((← state.serializeGoals).map (·.devolatilize)) #[ interiorGoal [] "x + z = w", ] checkEq "(fragments)" state.fragments.size 0 checkEq s!" {tactic}" state.goals.length 1 let tactic := "exact hxzw" let .success state _ ← state.tryTactic .unfocus tactic | fail s!"{tactic} failed" let root? := state.rootExpr? checkTrue "root" root?.isSome where interiorGoal (free: List (String × String)) (target: String) := let free := [("x", "Nat"), ("y", "Nat"), ("z", "Nat"), ("w", "Nat"), ("hyz", "y = z"), ("hxzw", "x + z = w")] ++ 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" with userName? := .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" with userName? := .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 () checkEq "(fragments)" state4m.fragments.size 0 addTest $ LSpec.test "(4m root)" state4m.rootExpr?.isSome where interiorGoal (free: List (String × String)) (target: String) := let free := [("a", "Nat"), ("b", "Nat"), ("c", "Nat"), ("d", "Nat"), ("h1", "a + b = b + c"), ("h2", "b + c = c + d")] ++ free buildGoal free target def suite (env: Environment): List (String × IO LSpec.TestSeq) := [ ("conv simple", test_conv_simple), ("conv unshielded", test_conv_unshielded), ("conv unfinished", test_conv_unfinished), ("calc", test_calc), ] |>.map (λ (name, t) => (name, runTestTermElabM env t)) end Pantograph.Test.Tactic.Fragment