291 lines
12 KiB
Plaintext
291 lines
12 KiB
Plaintext
import LSpec
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import Pantograph.Goal
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import Pantograph.Serial
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import Test.Common
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import Lean
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namespace Pantograph.Test.Metavar
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open Pantograph
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open Lean
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abbrev TestM := StateRefT LSpec.TestSeq (ReaderT Protocol.Options M)
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def addTest (test: LSpec.TestSeq): TestM Unit := do
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set $ (← get) ++ test
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-- Tests that all delay assigned mvars are instantiated
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def test_instantiate_mvar: TestM Unit := do
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let env ← Lean.MonadEnv.getEnv
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let value := "@Nat.le_trans 2 2 5 (@of_eq_true (@LE.le Nat instLENat 2 2) (@eq_true (@LE.le Nat instLENat 2 2) (@Nat.le_refl 2))) (@of_eq_true (@LE.le Nat instLENat 2 5) (@eq_true_of_decide (@LE.le Nat instLENat 2 5) (@Nat.decLe 2 5) (@Eq.refl Bool Bool.true)))"
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let syn ← match syntax_from_str env value with
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| .ok s => pure $ s
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| .error e => do
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addTest $ assertUnreachable e
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return ()
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let expr ← match ← syntax_to_expr syn with
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| .ok expr => pure $ expr
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| .error e => do
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addTest $ assertUnreachable e
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return ()
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let t ← Lean.Meta.inferType expr
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addTest $ LSpec.check "typing" ((toString (← serialize_expression_ast t)) =
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"((:c LE.le) (:c Nat) (:c instLENat) ((:c OfNat.ofNat) (:mv _uniq.2) (:lit 2) (:mv _uniq.3)) ((:c OfNat.ofNat) (:mv _uniq.14) (:lit 5) (:mv _uniq.15)))")
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return ()
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def startProof (expr: String): TestM (Option GoalState) := do
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let env ← Lean.MonadEnv.getEnv
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let syn? := syntax_from_str env expr
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addTest $ LSpec.check s!"Parsing {expr}" (syn?.isOk)
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match syn? with
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| .error error =>
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IO.println error
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return Option.none
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| .ok syn =>
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let expr? ← syntax_to_expr_type syn
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addTest $ LSpec.check s!"Elaborating" expr?.isOk
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match expr? with
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| .error error =>
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IO.println error
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return Option.none
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| .ok expr =>
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let goal ← GoalState.create (expr := expr)
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return Option.some goal
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def buildGoal (nameType: List (String × String)) (target: String) (userName?: Option String := .none): Protocol.Goal :=
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{
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userName?,
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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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isInaccessible? := .some false
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})).toArray
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}
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def proofRunner (env: Lean.Environment) (tests: TestM Unit): IO LSpec.TestSeq := do
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let termElabM := tests.run LSpec.TestSeq.done |>.run {} -- with default options
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let coreContext: Lean.Core.Context ← createCoreContext #[]
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let metaM := termElabM.run' (ctx := defaultTermElabMContext)
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let coreM := metaM.run'
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match ← (coreM.run' coreContext { env := env }).toBaseIO with
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| .error exception =>
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return LSpec.test "Exception" (s!"internal exception #{← exception.toMessageData.toString}" = "")
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| .ok (_, a) =>
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return a
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/-- M-coupled goals -/
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def test_m_couple: TestM Unit := do
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let state? ← startProof "(2: Nat) ≤ 5"
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let state0 ← match state? with
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| .some state => pure state
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| .none => do
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addTest $ assertUnreachable "Goal could not parse"
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return ()
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let state1 ← match ← state0.execute (goalId := 0) (tactic := "apply Nat.le_trans") 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 "apply Nat.le_trans" ((← state1.serializeGoals (options := ← read)).map (·.target.pp?) =
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#[.some "2 ≤ ?m", .some "?m ≤ 5", .some "Nat"])
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addTest $ LSpec.test "(1 root)" state1.rootExpr?.isNone
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-- Set m to 3
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let state2 ← match ← state1.execute (goalId := 2) (tactic := "exact 3") 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.test "(1b root)" state2.rootExpr?.isNone
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let state1b ← match state2.continue state1 with
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| .error msg => do
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addTest $ assertUnreachable $ msg
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return ()
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| .ok state => pure state
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addTest $ LSpec.check "exact 3" ((← state1b.serializeGoals (options := ← read)).map (·.target.pp?) =
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#[.some "2 ≤ 3", .some "3 ≤ 5"])
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addTest $ LSpec.test "(2 root)" state1b.rootExpr?.isNone
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def test_m_couple_simp: TestM Unit := do
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let state? ← startProof "(2: Nat) ≤ 5"
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let state0 ← match state? with
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| .some state => pure state
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| .none => do
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addTest $ assertUnreachable "Goal could not parse"
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return ()
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let state1 ← match ← state0.execute (goalId := 0) (tactic := "apply Nat.le_trans") 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 "apply Nat.le_trans" ((← state1.serializeGoals (options := ← read)).map (·.target.pp?) =
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#[.some "2 ≤ ?m", .some "?m ≤ 5", .some "Nat"])
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let state2 ← match ← state1.execute (goalId := 2) (tactic := "exact 2") 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.test "(1b root)" state2.rootExpr?.isNone
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let state1b ← match state2.continue state1 with
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| .error msg => do
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addTest $ assertUnreachable $ msg
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return ()
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| .ok state => pure state
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addTest $ LSpec.check "exact 2" ((← state1b.serializeGoals (options := ← read)).map (·.target.pp?) =
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#[.some "2 ≤ 2", .some "2 ≤ 5"])
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addTest $ LSpec.test "(2 root)" state1b.rootExpr?.isNone
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let state3 ← match ← state1b.execute (goalId := 0) (tactic := "simp") 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 state4 ← match state3.continue state1b with
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| .error msg => do
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addTest $ assertUnreachable $ msg
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return ()
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| .ok state => pure state
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let state5 ← match ← state4.execute (goalId := 0) (tactic := "simp") 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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state5.restoreMetaM
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let root ← match state5.rootExpr? with
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| .some e => pure e
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| .none =>
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addTest $ assertUnreachable "(5 root)"
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return ()
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let rootStr: String := toString (← Lean.Meta.ppExpr root)
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addTest $ LSpec.check "(5 root)" (rootStr = "Nat.le_trans (of_eq_true (Init.Data.Nat.Basic._auxLemma.4 2)) (of_eq_true (eq_true_of_decide (Eq.refl true)))")
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let unfoldedRoot ← unfoldAuxLemmas root
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addTest $ LSpec.check "(5 root)" ((toString (← Lean.Meta.ppExpr unfoldedRoot)) =
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"Nat.le_trans (of_eq_true (eq_true (Nat.le_refl 2))) (of_eq_true (eq_true_of_decide (Eq.refl true)))")
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return ()
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def test_proposition_generation: TestM Unit := do
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let state? ← startProof "Σ' p:Prop, p"
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let state0 ← match state? with
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| .some state => pure state
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| .none => do
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addTest $ assertUnreachable "Goal could not parse"
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return ()
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let state1 ← match ← state0.execute (goalId := 0) (tactic := "apply PSigma.mk") 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 "apply PSigma.mk" ((← state1.serializeGoals (options := ← read)).map (·.devolatilize) =
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#[
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buildGoal [] "?fst" (userName? := .some "snd"),
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buildGoal [] "Prop" (userName? := .some "fst")
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])
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if let #[goal1, goal2] := ← state1.serializeGoals (options := { (← read) with printExprAST := true }) then
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addTest $ LSpec.test "(1 reference)" (goal1.target.sexp? = .some s!"(:mv {goal2.name})")
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addTest $ LSpec.test "(1 root)" state1.rootExpr?.isNone
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let state2 ← match ← state1.tryAssign (goalId := 0) (expr := "λ (x: Nat) => _") 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 ":= λ (x: Nat), _" ((← state2.serializeGoals (options := ← read)).map (·.target.pp?) =
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#[.some "Nat → Prop", .some "∀ (x : Nat), ?m.29 x"])
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addTest $ LSpec.test "(2 root)" state2.rootExpr?.isNone
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let state3 ← match ← state2.tryAssign (goalId := 1) (expr := "fun x => Eq.refl x") 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 ":= Eq.refl" ((← state3.serializeGoals (options := ← read)).map (·.target.pp?) =
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#[])
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addTest $ LSpec.test "(3 root)" state3.rootExpr?.isSome
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return ()
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def test_partial_continuation: TestM Unit := do
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let state? ← startProof "(2: Nat) ≤ 5"
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let state0 ← match state? with
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| .some state => pure state
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| .none => do
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addTest $ assertUnreachable "Goal could not parse"
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return ()
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let state1 ← match ← state0.execute (goalId := 0) (tactic := "apply Nat.le_trans") 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 "apply Nat.le_trans" ((← state1.serializeGoals (options := ← read)).map (·.target.pp?) =
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#[.some "2 ≤ ?m", .some "?m ≤ 5", .some "Nat"])
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let state2 ← match ← state1.execute (goalId := 2) (tactic := "apply Nat.succ") 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 "apply Nat.succ" ((← state2.serializeGoals (options := ← read)).map (·.target.pp?) =
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#[.some "Nat"])
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-- Execute a partial continuation
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let coupled_goals := state1.goals ++ state2.goals
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let state1b ← match state2.resume (goals := coupled_goals) with
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| .error msg => do
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addTest $ assertUnreachable $ msg
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return ()
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| .ok state => pure state
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addTest $ LSpec.check "(continue)" ((← state1b.serializeGoals (options := ← read)).map (·.target.pp?) =
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#[.some "2 ≤ ?m.succ", .some "?m.succ ≤ 5", .some "Nat"])
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addTest $ LSpec.test "(2 root)" state1b.rootExpr?.isNone
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-- Roundtrip
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--let coupled_goals := coupled_goals.map (λ g =>
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-- { name := str_to_name $ name_to_ast g.name (sanitize := false)})
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let coupled_goals := coupled_goals.map (λ g => name_to_ast g.name (sanitize := false))
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let coupled_goals := coupled_goals.map (λ g => { name := g.toName })
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let state1b ← match state2.resume (goals := coupled_goals) with
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| .error msg => do
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addTest $ assertUnreachable $ msg
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return ()
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| .ok state => pure state
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addTest $ LSpec.check "(continue)" ((← state1b.serializeGoals (options := ← read)).map (·.target.pp?) =
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#[.some "2 ≤ ?m.succ", .some "?m.succ ≤ 5", .some "Nat"])
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addTest $ LSpec.test "(2 root)" state1b.rootExpr?.isNone
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-- Continuation should fail if the state does not exist:
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match state0.resume coupled_goals with
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| .error error => addTest $ LSpec.check "(continuation failure message)" (error = "Goals not in scope")
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| .ok _ => addTest $ assertUnreachable "(continuation failure)"
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-- Continuation should fail if some goals have not been solved
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match state2.continue state1 with
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| .error error => addTest $ LSpec.check "(continuation failure message)" (error = "Target state has unresolved goals")
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| .ok _ => addTest $ assertUnreachable "(continuation failure)"
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return ()
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def suite: IO LSpec.TestSeq := do
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let env: Lean.Environment ← Lean.importModules
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(imports := #["Init"].map (λ str => { module := str.toName, runtimeOnly := false }))
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(opts := {})
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(trustLevel := 1)
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let tests := [
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("Instantiate", test_instantiate_mvar),
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("2 < 5", test_m_couple),
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("2 < 5", test_m_couple_simp),
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("Proposition Generation", test_proposition_generation),
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("Partial Continuation", test_partial_continuation)
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]
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let tests ← tests.foldlM (fun acc tests => do
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let (name, tests) := tests
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let tests ← proofRunner env tests
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return acc ++ (LSpec.group name tests)) LSpec.TestSeq.done
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return LSpec.group "Metavar" tests
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end Pantograph.Test.Metavar
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