313 lines
12 KiB
Plaintext
313 lines
12 KiB
Plaintext
import Pantograph.Goal
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import Test.Common
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open Lean
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namespace Pantograph.Test.Tactic.Fragment
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private def buildGoal (nameType: List (String × String)) (target: String):
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Protocol.Goal :=
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{
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target := { pp? := .some target},
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vars := (nameType.map fun x => ({
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userName := x.fst,
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type? := .some { pp? := .some x.snd },
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})).toArray
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}
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abbrev TestM := TestT $ Elab.TermElabM
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example : ∀ (a b c1 c2: Nat), (b + a) + c1 = (b + a) + c2 → (a + b) + c1 = (b + a) + c2 := by
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intro a b c1 c2 h
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conv =>
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lhs
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congr
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. rw [Nat.add_comm]
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. rfl
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exact h
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def test_conv_simple: TestM Unit := do
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let rootTarget ← parseSentence "∀ (a b c1 c2: Nat), (b + a) + c1 = (b + a) + c2 → (a + b) + c1 = (b + a) + c2"
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let state0 ← GoalState.create rootTarget
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let tactic := "intro a b c1 c2 h"
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let state1 ← match ← state0.tacticOn (goalId := 0) (tactic := tactic) with
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| .success state _ => pure state
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| other => do
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addTest $ assertUnreachable $ other.toString
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return ()
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addTest $ LSpec.check tactic ((← state1.serializeGoals).map (·.devolatilize) =
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#[interiorGoal [] "a + b + c1 = b + a + c2"])
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let goalConv := state1.goals[0]!
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let state2 ← match ← state1.convEnter (state1.get! 0) with
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| .success state _ => pure state
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| other => do
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addTest $ assertUnreachable $ other.toString
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return ()
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addTest $ LSpec.check "conv => ..." ((← state2.serializeGoals).map (·.devolatilize) =
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#[{ interiorGoal [] "a + b + c1 = b + a + c2" with isConversion := true }])
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let convTactic := "rhs"
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let state3R ← match ← state2.tacticOn (goalId := 0) convTactic with
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| .success state _ => pure state
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| other => do
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addTest $ assertUnreachable $ other.toString
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return ()
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addTest $ LSpec.check s!" {convTactic} (discard)" ((← state3R.serializeGoals).map (·.devolatilize) =
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#[{ interiorGoal [] "b + a + c2" with isConversion := true }])
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let convTactic := "lhs"
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let state3L ← match ← state2.tacticOn (goalId := 0) convTactic with
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| .success state _ => pure state
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| other => do
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addTest $ assertUnreachable $ other.toString
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return ()
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addTest $ LSpec.check s!" {convTactic}" ((← state3L.serializeGoals).map (·.devolatilize) =
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#[{ interiorGoal [] "a + b + c1" with isConversion := true }])
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let convTactic := "congr"
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let state4 ← match ← state3L.tacticOn (goalId := 0) convTactic with
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| .success state _ => pure state
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| other => do
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addTest $ assertUnreachable $ other.toString
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return ()
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addTest $ LSpec.check s!" {convTactic}" ((← state4.serializeGoals).map (·.devolatilize) =
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#[
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{ interiorGoal [] "a + b" with isConversion := true, userName? := .some "a" },
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{ interiorGoal [] "c1" with isConversion := true, userName? := .some "a" }
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])
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let convTactic := "rw [Nat.add_comm]"
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let state5_1 ← match ← state4.tacticOn (goalId := 0) convTactic with
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| .success state _ => pure state
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| other => do
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addTest $ assertUnreachable $ other.toString
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return ()
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addTest $ LSpec.check s!" · {convTactic}" ((← state5_1.serializeGoals).map (·.devolatilize) =
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#[{ interiorGoal [] "b + a" with isConversion := true, userName? := .some "a" }])
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let convTactic := "rfl"
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let state6_1 ← match ← state5_1.tacticOn (goalId := 0) convTactic with
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| .success state _ => pure state
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| other => do
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addTest $ assertUnreachable $ other.toString
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return ()
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addTest $ LSpec.check s!" {convTactic}" ((← state6_1.serializeGoals).map (·.devolatilize) =
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#[])
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let state4_1 ← match state6_1.continue state4 with
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| .ok state => pure state
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| .error e => do
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addTest $ expectationFailure "continue" e
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return ()
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let convTactic := "rfl"
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let state1_1 ← match ← state4_1.tacticOn (goalId := 0) convTactic with
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| .success state _ => pure state
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| other => do
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addTest $ assertUnreachable $ other.toString
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return ()
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addTest $ LSpec.check s!" · {convTactic}" ((← state1_1.serializeGoals).map (·.devolatilize) =
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#[interiorGoal [] "b + a + c1 = b + a + c2"])
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checkEq "(fragments)" state1_1.fragments.size 0
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/-
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let state1_1 ← match ← state6.fragmentExit goalConv with
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| .success state _ => pure state
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| other => do
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addTest $ assertUnreachable $ other.toString
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return ()
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-/
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let tactic := "exact h"
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let stateF ← match ← state1_1.tacticOn (goalId := 0) (tactic := tactic) with
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| .success state _ => pure state
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| other => do
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addTest $ assertUnreachable $ other.toString
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return ()
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addTest $ LSpec.check tactic ((← stateF.serializeGoals).map (·.devolatilize) =
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#[])
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where
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h := "b + a + c1 = b + a + c2"
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interiorGoal (free: List (String × String)) (target: String) :=
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let free := [("a", "Nat"), ("b", "Nat"), ("c1", "Nat"), ("c2", "Nat"), ("h", h)] ++ free
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buildGoal free target
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example (p : Prop) (x y z : Nat) : p → (p → x = y) → x + z = y + z ∧ p := by
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intro hp hi
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apply And.intro
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conv =>
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rhs
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arg 1
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rw [←hi]
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rfl
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tactic => exact hp
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exact hp
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def test_conv_unshielded : TestM Unit := do
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let rootTarget ← parseSentence "∀ (p : Prop) (x y z : Nat), p → (p → x = y) → x + z = y + z ∧ p"
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let state ← GoalState.create rootTarget
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let tactic := "intro p x y z hp hi"
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let .success state _ ← state.tacticOn 0 tactic | fail "intro failed"
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let tactic := "apply And.intro"
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let .success state _ ← state.tacticOn 0 tactic | fail "apply failed"
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let .success state _ ← state.convEnter (.prefer state.goals[0]!) | fail "Cannot enter conversion tactic mode"
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let .success state _ ← state.tryTactic .unfocus "rhs" | fail "rhs failed"
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let tactic := "arg 1"
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let .success state _ ← state.tryTactic .unfocus tactic | fail s!"{tactic} failed"
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checkEq s!" {tactic}" ((← state.serializeGoals).map (·.devolatilize))
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#[
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{ interiorGoal [] "y" with isConversion := true },
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{ interiorGoal [] "p" with userName? := "right", },
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]
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let tactic := "rw [←hi]"
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let .success state _ ← state.tryTactic .unfocus tactic | fail s!"{tactic} failed"
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checkEq s!" {tactic}" state.goals.length 3
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let tactic := "rfl"
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let .success state _ ← state.tryTactic .unfocus tactic | fail s!"{tactic} failed"
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checkEq s!" {tactic}" ((← state.serializeGoals).map (·.devolatilize))
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#[
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interiorGoal [] "p",
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{ interiorGoal [] "p" with userName? := "right", },
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]
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checkEq "(n goals)" state.goals.length 2
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checkEq "(fragments)" state.fragments.size 0
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let tactic := "exact hp"
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let .success state _ ← state.tryTactic .unfocus tactic | fail s!"{tactic} failed"
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let tactic := "exact hp"
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let .success state _ ← state.tryTactic .unfocus tactic | fail s!"{tactic} failed"
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let root? := state.rootExpr?
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checkTrue "root" root?.isSome
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where
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interiorGoal (free: List (String × String)) (target: String) :=
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let free := [("p", "Prop"), ("x", "Nat"), ("y", "Nat"), ("z", "Nat"), ("hp", "p"), ("hi", "p → x = y")] ++ free
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buildGoal free target
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example : ∀ (x y z w : Nat), y = z → x + z = w → x + y = w := by
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intro x y z w hyz hxzw
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conv =>
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lhs
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arg 2
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rw [hyz]
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rfl
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exact hxzw
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def test_conv_unfinished : TestM Unit := do
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let rootTarget ← parseSentence "∀ (x y z w : Nat), y = z → x + z = w → x + y = w"
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let state ← GoalState.create rootTarget
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let tactic := "intro x y z w hyz hxzw"
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let .success state _ ← state.tacticOn 0 tactic | fail "intro failed"
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let convParent := state.goals[0]!
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let .success state _ ← state.convEnter (.prefer convParent) | fail "Cannot enter conversion tactic mode"
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let .success state _ ← state.tryTactic .unfocus "lhs" | fail "rhs failed"
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let tactic := "arg 2"
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let .success state _ ← state.tryTactic .unfocus tactic | fail s!"{tactic} failed"
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checkEq s!" {tactic}" ((← state.serializeGoals).map (·.devolatilize))
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#[
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{ interiorGoal [] "y" with isConversion := true },
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]
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let tactic := "rw [hyz]"
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let .success state _ ← state.tryTactic .unfocus tactic | fail s!"{tactic} failed"
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checkEq s!" {tactic}" ((← state.serializeGoals).map (·.devolatilize))
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#[
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{ interiorGoal [] "z" with isConversion := true },
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]
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checkTrue " (fragment)" $ state.fragments.contains state.mainGoal?.get!
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checkTrue " (fragment parent)" $ state.fragments.contains convParent
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checkTrue " (main goal)" state.mainGoal?.isSome
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let tactic := "rfl"
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let .success state _ ← state.tryTactic .unfocus tactic | fail s!"{tactic} failed"
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checkEq s!" {tactic}" ((← state.serializeGoals).map (·.devolatilize))
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#[
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interiorGoal [] "x + z = w",
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]
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checkEq "(fragments)" state.fragments.size 0
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checkEq s!" {tactic}" state.goals.length 1
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let tactic := "exact hxzw"
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let .success state _ ← state.tryTactic .unfocus tactic | fail s!"{tactic} failed"
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let root? := state.rootExpr?
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checkTrue "root" root?.isSome
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where
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interiorGoal (free: List (String × String)) (target: String) :=
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let free := [("x", "Nat"), ("y", "Nat"), ("z", "Nat"), ("w", "Nat"), ("hyz", "y = z"), ("hxzw", "x + z = w")] ++ free
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buildGoal free target
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example : ∀ (a b c d: Nat), a + b = b + c → b + c = c + d → a + b = c + d := by
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intro a b c d h1 h2
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calc a + b = b + c := by apply h1
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_ = c + d := by apply h2
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def test_calc: TestM Unit := do
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let rootTarget ← parseSentence "∀ (a b c d: Nat), a + b = b + c → b + c = c + d → a + b = c + d"
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let state0 ← GoalState.create rootTarget
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let tactic := "intro a b c d h1 h2"
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let state1 ← match ← state0.tacticOn (goalId := 0) (tactic := tactic) with
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| .success state _ => pure state
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| other => do
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addTest $ assertUnreachable $ other.toString
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return ()
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addTest $ LSpec.check tactic ((← state1.serializeGoals).map (·.devolatilize) =
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#[interiorGoal [] "a + b = c + d"])
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let pred := "a + b = b + c"
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let .success state1 _ ← state1.calcEnter state1.mainGoal?.get! | fail "Could not enter calc"
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let state2 ← match ← state1.tacticOn 0 pred with
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| .success state _ => pure state
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| other => do
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addTest $ assertUnreachable $ other.toString
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return ()
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addTest $ LSpec.check s!"calc {pred} := _" ((← state2.serializeGoals).map (·.devolatilize) =
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#[
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{ interiorGoal [] "a + b = b + c" with userName? := .some "calc" },
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interiorGoal [] "b + c = c + d"
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])
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addTest $ LSpec.test "(2.0 prev rhs)" (state2.calcPrevRhsOf? (state2.get! 0) |>.isNone)
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addTest $ LSpec.test "(2.1 prev rhs)" (state2.calcPrevRhsOf? (state2.get! 1) |>.isSome)
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let tactic := "apply h1"
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let state2m ← match ← state2.tacticOn (goalId := 0) (tactic := tactic) with
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| .success state _ => pure state
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| other => do
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addTest $ assertUnreachable $ other.toString
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return ()
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let state3 ← match state2m.continue state2 with
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| .ok state => pure state
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| .error e => do
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addTest $ expectationFailure "continue" e
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return ()
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let pred := "_ = c + d"
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let state4 ← match ← state3.tacticOn 0 pred with
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| .success state _ => pure state
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| other => do
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addTest $ assertUnreachable $ other.toString
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return ()
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addTest $ LSpec.check s!"calc {pred} := _" ((← state4.serializeGoals).map (·.devolatilize) =
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#[
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{ interiorGoal [] "b + c = c + d" with userName? := .some "calc" },
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])
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addTest $ LSpec.test "(4.0 prev rhs)" (state4.calcPrevRhsOf? (state4.get! 0) |>.isNone)
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let tactic := "apply h2"
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let state4m ← match ← state4.tacticOn (goalId := 0) (tactic := tactic) with
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| .success state _ => pure state
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| other => do
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addTest $ assertUnreachable $ other.toString
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return ()
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checkEq "(fragments)" state4m.fragments.size 0
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addTest $ LSpec.test "(4m root)" state4m.rootExpr?.isSome
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where
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interiorGoal (free: List (String × String)) (target: String) :=
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let free := [("a", "Nat"), ("b", "Nat"), ("c", "Nat"), ("d", "Nat"),
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("h1", "a + b = b + c"), ("h2", "b + c = c + d")] ++ free
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buildGoal free target
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def suite (env: Environment): List (String × IO LSpec.TestSeq) :=
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[
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("conv simple", test_conv_simple),
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("conv unshielded", test_conv_unshielded),
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("conv unfinished", test_conv_unfinished),
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("calc", test_calc),
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] |>.map (λ (name, t) => (name, runTestTermElabM env t))
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end Pantograph.Test.Tactic.Fragment
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