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.
83 lines
2.3 KiB
Text
83 lines
2.3 KiB
Text
def Vec (α : Type u) (n : Nat) : Type u := { a : List α // a.length = n }
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def Vec.nil : Vec α 0 := ⟨[], rfl⟩
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def Vec.cons (a : α) (as : Vec α n) : Vec α (n+1) := ⟨a :: as.val, by simp [as.property]⟩
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set_option pp.analyze false
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set_option linter.unusedVariables false
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set_option pp.mvars false
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def Vec.casesOn
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(motive : (n : Nat) → Vec α n → Sort v)
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(n : Nat)
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(as : Vec α n)
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(nil : motive 0 Vec.nil)
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(cons : (n : Nat) → (a : α) → (as : Vec α n) → (ih : motive n as) → motive (n+1) (Vec.cons a as))
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: motive n as :=
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let rec go (n : Nat) (as : List α) (h : as.length = n) : motive n ⟨as, h⟩ :=
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match n, as, h with
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| 0, [], _ => nil
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| n+1, a::as, h =>
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have : as.length = n := by injection h
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have ih : motive n ⟨as, this⟩ := go n as this
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cons n a ⟨as, this⟩ ih
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match as with
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| ⟨as, h⟩ => go n as h
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/--
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trace: α : Type u_1
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n✝ : Nat
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a✝ : α
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as✝ : Vec α n✝
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x✝ n : Nat
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a : α
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as : Vec α n
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ih : as = as
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⊢ Vec.cons a as = Vec.cons a as
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-/
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#guard_msgs in
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example (n : Nat) (a : α) (as : Vec α n) : Vec.cons a (Vec.cons a as) = Vec.cons a (Vec.cons a as) := by
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induction n+2, Vec.cons a (Vec.cons a as) using Vec.casesOn
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case nil => constructor
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case cons n a as ih =>
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trace_state
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constructor
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/--
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trace: α : Type u_1
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n✝ : Nat
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a✝ : α
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as✝ : Vec α n✝
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n : Nat
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a : α
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as : Vec α n
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ih : n + 1 = n → Vec.cons a as ≍ as → Vec.cons a as = Vec.cons a as
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⊢ Vec.cons a as = Vec.cons a as
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-/
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#guard_msgs in
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example (n : Nat) (a : α) (as : Vec α n) : Vec.cons a (Vec.cons a as) = Vec.cons a (Vec.cons a as) := by
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cases n+2, Vec.cons a (Vec.cons a as) using Vec.casesOn
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case nil => constructor
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case cons n a as ih =>
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trace_state
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constructor
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/--
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trace: α : Type u_1
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n : Nat
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a : α
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as : Vec α n
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n' : Nat
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a' : α
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as' : Vec α n'
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h₁ : n + 2 = n' + 1
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h₂ : Vec.cons a (Vec.cons a as) ≍ Vec.cons a' as'
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ih : n' + 1 = n' → Vec.cons a' as' ≍ as' → Vec.cons a' as' = Vec.cons a' as'
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⊢ Vec.cons a' as' = Vec.cons a' as'
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-/
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#guard_msgs in
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example (n : Nat) (a : α) (as : Vec α n) : Vec.cons a (Vec.cons a as) = Vec.cons a (Vec.cons a as) := by
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cases h₁ : n+2, h₂ : Vec.cons a (Vec.cons a as) using Vec.casesOn
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case nil => constructor
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case cons n' a' as' ih =>
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trace_state
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constructor
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