08eb78a5b2
This PR sets up the new integrated test/bench suite. It then migrates all benchmarks and some related tests to the new suite. There's also some documentation and some linting. For now, a lot of the old tests are left alone so this PR doesn't become even larger than it already is. Eventually, all tests should be migrated to the new suite though so there isn't a confusing mix of two systems.
44 lines
1.7 KiB
Text
44 lines
1.7 KiB
Text
@[inline] def decidable_of_iff'' {b : Prop} (a : Prop) (h : a ↔ b) [Decidable a] : Decidable b :=
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decidable_of_decidable_of_iff h
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theorem LE.le.lt_or_eq_dec {a b : Nat} (hab : a ≤ b) : a < b ∨ a = b :=
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by cases hab
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· exact .inr rfl
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· refine .inl ?_ ; refine Nat.succ_le_succ ?_ ; assumption
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section succeeds_using_match
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local instance decidableBallLT :
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∀ (n : Nat) (P : ∀ k, k < n → Prop) [∀ n h, Decidable (P n h)], Decidable (∀ n h, P n h)
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| 0, _, _ => isTrue fun _ => (by cases ·)
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| (n+1), P, H =>
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match decidableBallLT n (P · <| Nat.le_succ_of_le ·) with
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| isFalse h => isFalse (h fun _ _ => · _ _)
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| isTrue h =>
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match H n Nat.le.refl with
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| isFalse p => isFalse (p <| · _ _)
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| isTrue p => isTrue fun _ h' => (Nat.le_of_lt_succ h').lt_or_eq_dec.elim (h _) (· ▸ p)
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set_option maxHeartbeats 5000
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example : ∀ a, a < 9 → ∀ b, b < 9 → ∀ c, c < 9 → a ^ 2 + b ^ 2 + c ^ 2 ≠ 7 := by decide
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end succeeds_using_match
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section fails_with_timeout
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-- we change `match decidableBallLT` to `by cases decidableBallLT' ... exact`:
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local instance decidableBallLT' :
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∀ (n : Nat) (P : ∀ k, k < n → Prop) [∀ n h, Decidable (P n h)], Decidable (∀ n h, P n h)
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| 0, _, _ => isTrue fun _ => (by cases ·)
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| (n+1), P, H => by
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cases decidableBallLT' n (P · <| Nat.le_succ_of_le ·) with
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| isFalse h => exact isFalse (h fun _ _ => · _ _)
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| isTrue h =>
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exact match H n Nat.le.refl with
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| isFalse p => isFalse (p <| · _ _)
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| isTrue p => isTrue fun _ h' => (Nat.le_of_lt_succ h').lt_or_eq_dec.elim (h _) (· ▸ p)
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set_option maxHeartbeats 5000
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example : ∀ a, a < 9 → ∀ b, b < 9 → ∀ c, c < 9 → a ^ 2 + b ^ 2 + c ^ 2 ≠ 7 := by decide
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end fails_with_timeout
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