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.
66 lines
2 KiB
Text
66 lines
2 KiB
Text
class MulOneClass (M : Type u) extends One M, Mul M
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class FunLike (F : Sort _) (α : outParam (Sort _)) (β : outParam <| α → Sort _) where
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coe : F → ∀ a : α, β a
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instance (priority := 100) [FunLike F α β] : CoeFun F fun _ => ∀ a : α, β a where coe := FunLike.coe
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section One
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variable [One M] [One N]
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structure OneHom (M : Type _) (N : Type _) [One M] [One N] where
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toFun : M → N
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map_one' : toFun 1 = 1
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class OneHomClass (F : Type _) (M N : outParam (Type _)) [outParam (One M)] [outParam (One N)]
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extends FunLike F M fun _ => N where
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map_one : ∀ f : F, f 1 = 1
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@[simp]
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theorem map_one [OneHomClass F M N] (f : F) : f 1 = 1 :=
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OneHomClass.map_one f
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end One
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section Mul
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variable [Mul M] [Mul N]
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structure MulHom (M : Type _) (N : Type _) [Mul M] [Mul N] where
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toFun : M → N
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map_mul' : ∀ x y, toFun (x * y) = toFun x * toFun y
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infixr:25 " →ₙ* " => MulHom
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class MulHomClass (F : Type _) (M N : outParam (Type _)) [outParam (Mul M)] [outParam (Mul N)]
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extends FunLike F M fun _ => N where
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map_mul : ∀ (f : F) (x y : M), f (x * y) = f x * f y
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@[simp]
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theorem map_mul [MulHomClass F M N] (f : F) (x y : M) : f (x * y) = f x * f y :=
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MulHomClass.map_mul f x y
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end Mul
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section mul_one
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variable [MulOneClass M] [MulOneClass N]
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structure MonoidHom (M : Type _) (N : Type _) [MulOneClass M] [MulOneClass N] extends
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OneHom M N, M →ₙ* N
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infixr:25 " →* " => MonoidHom
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class MonoidHomClass (F : Type _) (M N : outParam (Type _)) [outParam (MulOneClass M)]
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[outParam (MulOneClass N)] extends MulHomClass F M N, OneHomClass F M N
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instance [MonoidHomClass F M N] : CoeTC F (M →* N) :=
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⟨fun f => { toFun := f, map_one' := map_one f, map_mul' := map_mul f }⟩
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-- Now we reverse the order of the parents in the extends clause:
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class MonoidHomClass' (F : Type _) (M N : outParam (Type _)) [outParam (MulOneClass M)]
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[outParam (MulOneClass N)] extends OneHomClass F M N, MulHomClass F M N
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instance [MonoidHomClass' F M N] : CoeTC F (M →* N) :=
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⟨fun f => { toFun := f, map_one' := map_one f, map_mul' := map_mul f }⟩
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