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.
48 lines
1.6 KiB
Text
48 lines
1.6 KiB
Text
class OpAssoc (op : α → α → α) : Prop where
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protected op_assoc (x y z) : op (op x y) z = op x (op y z)
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abbrev op_assoc (op : α → α → α) [self : OpAssoc op] := self.op_assoc
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structure SemigroupSig (α) where
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op : α → α → α
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structure SemiringSig (α) where
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add : α → α → α
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mul : α → α → α
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def SemiringSig.toAddSemigroupSig (s : SemiringSig α) : SemigroupSig α where
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op := s.add
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def SemiringSig.toMulSemigroupSig (s : SemiringSig α) : SemigroupSig α where
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op := s.mul
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unif_hint (s : SemiringSig α) (t : SemigroupSig α) where
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t =?= s.toAddSemigroupSig ⊢ t.op =?= s.add
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unif_hint (s : SemiringSig α) (t : SemigroupSig α) where
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t =?= s.toMulSemigroupSig ⊢ t.op =?= s.mul
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class Semigroup (s : SemigroupSig α) : Prop where
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protected op_assoc (x y z) : s.op (s.op x y) z = s.op x (s.op y z)
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instance Semirgoup.toOpAssoc (s : SemigroupSig α) [Semigroup s] : OpAssoc (no_index s.op) := ⟨Semigroup.op_assoc⟩
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class Semiring (s : SemiringSig α) : Prop where
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protected add_assoc (x y z) : s.add (s.add x y) z = s.add x (s.add y z)
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protected mul_assoc (x y z) : s.mul (s.mul x y) z = s.mul x (s.mul y z)
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instance Semiring.toAddSemigroup (s : SemiringSig α) [Semiring s] : Semigroup (no_index s.toAddSemigroupSig) where
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op_assoc := Semiring.add_assoc
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instance Semiring.toMulSemigroup (s : SemiringSig α) [Semiring s] : Semigroup (no_index s.toMulSemigroupSig) where
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op_assoc := Semiring.mul_assoc
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section Test
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variable (s : SemiringSig α) [Semiring s]
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local infix:70 " ⋆ " => s.mul
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example (w x y z : α) : (w ⋆ x) ⋆ (y ⋆ z) = w ⋆ ((x ⋆ y) ⋆ z) := by
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repeat rw [op_assoc (.⋆.)]
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end Test
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