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.
74 lines
2.2 KiB
Text
74 lines
2.2 KiB
Text
module
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def Set (α : Type) := α → Bool
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def insertElem [DecidableEq α] (s : Set α) (a : α) : Set α :=
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fun x => a = x || s x
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def contains (s : Set α) (a : α) : Bool :=
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s a
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theorem contains_insert [DecidableEq α] (s : Set α) (a : α) : contains (insertElem s a) a := by
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simp [contains, insertElem]
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grind_pattern contains_insert => contains (insertElem s a) a
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-- TheoremPattern activation test
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set_option trace.grind.ematch true
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set_option trace.grind.ematch.pattern true
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/-- trace: [grind.ematch] activated `contains_insert`, [@contains #3 (@insertElem _ #2 #1 #0) #0] -/
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#guard_msgs (trace) in
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example [DecidableEq α] (s₁ s₂ : Set α) (a₁ a₂ : α) :
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s₂ = insertElem s₁ a₁ → a₁ = a₂ → contains s₂ a₂ := by
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grind
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/-- trace: [grind.ematch] activated `contains_insert`, [@contains #3 (@insertElem _ #2 #1 #0) #0] -/
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#guard_msgs (trace) in
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example [DecidableEq α] (s₁ s₂ : Set α) (a₁ a₂ : α) :
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¬ contains s₂ a₂ → s₂ = insertElem s₁ a₁ → a₁ = a₂ → False := by
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grind
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def a := 10
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def b := 20
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def foo (x : List Nat) (y : List Nat) := x ++ y ++ x
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theorem fooThm : foo x [a, b] = x ++ [a, b] ++ x := rfl
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/-- trace: [grind.ematch.pattern] fooThm: [foo #0 `[[a, b]]] -/
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#guard_msgs in
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grind_pattern fooThm => foo x [a, b]
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/--
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trace: [grind.internalize] [0] x
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[grind.internalize] [0] y
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[grind.internalize] [0] z
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[grind.internalize] [0] foo x y
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-/
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#guard_msgs (trace) in
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set_option trace.grind.internalize true in
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example : foo x y = z → False := by
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fail_if_success grind
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sorry
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theorem arrEx [Add α] (as : Array α) (h₁ : i < as.size) (h₂ : i = j) : as[i]+as[j] = as[i] + as[i] := by sorry
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/--
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trace: [grind.ematch.pattern] arrEx: [@HAdd.hAdd #6 _ _ _ (@getElem (Array _) `[Nat] _ _ _ #2 #5 _) (@getElem (Array _) `[Nat] _ _ _ #2 #4 _)]
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-/
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#guard_msgs in
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grind_pattern arrEx => as[i]+as[j]'(h₂▸h₁)
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namespace Foo.Bla
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set_option trace.grind.ematch false
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set_option trace.grind.ematch.pattern false
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opaque P : {n : Nat} → Fin (n+1) → Prop
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/--
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info: Try this:
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[apply] [grind .] for pattern: [@P #0 (@OfNat.ofNat (Fin _) `[0] _)]
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-/
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#guard_msgs in
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@[grind] axiom Pax : @P n 0
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end Foo.Bla
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