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.
55 lines
1.5 KiB
Text
55 lines
1.5 KiB
Text
namespace Std.Stream
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variable [Std.Stream ρ τ] (s : ρ)
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def take (s : ρ) : Nat → List τ × ρ
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| 0 => ([], s)
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| n+1 =>
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match next? s with
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| none => ([], s)
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| some (x,rest) =>
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let (L,rest) := take rest n
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(x::L, rest)
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def isEmpty : Bool :=
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Option.isNone (next? s)
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def lengthBoundedBy (n : Nat) : Prop :=
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isEmpty (take s n).2
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def hasNext : ρ → ρ → Prop
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:= λ s1 s2 => ∃ x, next? s1 = some ⟨x,s2⟩
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def isFinite : Prop :=
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∃ n, lengthBoundedBy s n
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instance hasNextWF : WellFoundedRelation {s : ρ // isFinite s} where
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rel := λ s1 s2 => hasNext s2.val s1.val
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wf := ⟨λ ⟨s,h⟩ => ⟨Subtype.mk s h, by
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simp only [Subtype.forall]
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cases h with | intro w h
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induction w generalizing s
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case zero =>
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intro s' h' h_next
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simp [hasNext] at h_next
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cases h_next with | intro x h_next
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simp [lengthBoundedBy, isEmpty, Option.isNone, take, h_next] at h
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case succ n ih =>
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intro s' h' h_next
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simp [hasNext] at h_next
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cases h_next with | intro x h_next
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simp [lengthBoundedBy, take, h_next] at h
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have := ih s' h
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exact Acc.intro (⟨s',h'⟩ : {s : ρ // isFinite s}) (by simpa only [Subtype.forall])
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⟩⟩
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def mwe [Stream ρ τ] (acc : α) : {l : ρ // isFinite l} → α
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| ⟨l,h⟩ =>
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match h:next? l with
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| none => acc
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| some (x,xs) =>
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have h_next : hasNext l xs := by exists x
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mwe acc ⟨xs, by sorry⟩
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termination_by l => l
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end Std.Stream
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