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.
40 lines
1.6 KiB
Text
40 lines
1.6 KiB
Text
example {α β : Type} {f : α × β → β → β} (h : ∀ p : α × β, f p p.2 = p.2)
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(a : α) (b : β) : f (a, b) b = b := by
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simp [h] -- should not fail
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example {α β : Type} {f : α × β → β → β}
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(a : α) (b : β) (h : f (a,b) (a,b).2 = (a,b).2) : f (a, b) b = b := by
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simp [h] -- should not fail
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def enumFromTR' (n : Nat) (l : List α) : List (Nat × α) :=
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let arr := l.toArray
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(arr.foldr (fun a (n, acc) => (n-1, (n-1, a) :: acc)) (n + arr.size, [])).2
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def enumFrom : Nat → List α → List (Nat × α)
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| _, [] => []
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| n, x :: xs => (n, x) :: enumFrom (n + 1) xs
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open List in
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theorem enumFrom_eq_enumFromTR' : @enumFrom = @enumFromTR' := by
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funext α n l; simp only [enumFromTR']
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let f := fun (a : α) (n, acc) => (n-1, (n-1, a) :: acc)
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let rec go : ∀ l n, l.foldr f (n + l.length, []) = (n, enumFrom n l)
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| [], n => rfl
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| a::as, n => by
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rw [← show _ + as.length = n + (a::as).length from Nat.succ_add .., List.foldr, go as]
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simp [enumFrom, f]
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rw [←Array.foldr_toList]
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simp [f] at go -- We must unfold `f` at `go`, or use `+zetaDelta`. See next theorem
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simp [go]
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open List in
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theorem enumFrom_eq_enumFromTR'' : @enumFrom = @enumFromTR' := by
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funext α n l; simp only [enumFromTR']
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let f := fun (a : α) (n, acc) => (n-1, (n-1, a) :: acc)
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let rec go : ∀ l n, l.foldr f (n + l.length, []) = (n, enumFrom n l)
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| [], n => rfl
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| a::as, n => by
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rw [← show _ + as.length = n + (a::as).length from Nat.succ_add .., List.foldr, go as]
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simp [enumFrom, f]
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rw [←Array.foldr_toList]
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simp +zetaDelta [go]
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