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.
130 lines
2.7 KiB
Text
130 lines
2.7 KiB
Text
-- `g.eq_def` is not reserved yet
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theorem g.eq_def : 1 + x = x + 1 := Nat.add_comm ..
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/--
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error: failed to declare `g` because `g.eq_def` has already been declared
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-/
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#guard_msgs (error) in
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def g (x : Nat) := x + 1
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def f (x : Nat) := x + 1
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/-- error: `f.eq_def` is a reserved name -/
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#guard_msgs (error) in
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theorem f.eq_def : f x = x + 1 := rfl
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/-- error: `f.eq_1` is a reserved name -/
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#guard_msgs (error) in
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theorem f.eq_1 : f x = x + 1 := rfl
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def f.eq_2_ := 10 -- Should be ok
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/-- info: f.eq_1 (x : Nat) : f x = x + 1 -/
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#guard_msgs in
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#check f.eq_1
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/-- error: Unknown identifier `f.eq_2` -/
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#guard_msgs (error) in
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#check f.eq_2
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/-- info: f.eq_def (x : Nat) : f x = x + 1 -/
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#guard_msgs in
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#check f.eq_def
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def nonrecfun : Bool → Nat
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| false => 0
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| true => 0
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/--
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info: nonrecfun.eq_def (x✝ : Bool) :
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nonrecfun x✝ =
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match x✝ with
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| false => 0
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| true => 0
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-/
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#guard_msgs in
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#check nonrecfun.eq_def
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/-- info: nonrecfun.eq_1 : nonrecfun false = 0 -/
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#guard_msgs in
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#check nonrecfun.eq_1
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/-- info: nonrecfun.eq_2 : nonrecfun true = 0 -/
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#guard_msgs in
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#check nonrecfun.eq_2
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def fact : Nat → Nat
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| 0 => 1
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| n+1 => (n+1) * fact n
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/--
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info: fact.eq_def (x✝ : Nat) :
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fact x✝ =
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match x✝ with
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| 0 => 1
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| n.succ => (n + 1) * fact n
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-/
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#guard_msgs in
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#check fact.eq_def
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/-- info: fact.eq_1 : fact 0 = 1 -/
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#guard_msgs in
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#check fact.eq_1
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/-- info: fact.eq_2 (n : Nat) : fact n.succ = (n + 1) * fact n -/
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#guard_msgs in
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#check fact.eq_2
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/-- error: Unknown identifier `fact.eq_3` -/
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#guard_msgs (error) in
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#check fact.eq_3
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def fact' : Nat → Nat
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| 0 => 1
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| n+1 => (n+1) * fact' n
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example : fact' 0 + fact' 0 = 2 := by
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simp [fact'.eq_1]
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example : fact' 0 + fact' 1 = 2 := by
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rw [fact'.eq_1]
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guard_target =ₛ 1 + fact' 1 = 2
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rw [fact'.eq_2]
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guard_target =ₛ 1 + (0+1) * fact' 0 = 2
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rw [fact'.eq_1]
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example : fact' 0 + fact' 1 = 2 := by
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rw [fact'.eq_def, fact'.eq_def]; simp
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guard_target =ₛ 1 + fact' 0 = 2
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rw [fact'.eq_def]
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guard_target =
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(1 + fact.match_1 (fun _ => Nat) 0 (fun _ => 1) fun n => (n + 1) * fact' n) = 2
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simp
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theorem bla : 0 = 0 := rfl
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def bla.def := 1 -- should work since `bla` is a theorem
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def bla.eq_1 := 2 -- should work since `bla` is a theorem
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def find (as : Array Int) (i : Nat) (v : Int) : Nat :=
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if _ : i < as.size then
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if as[i] = v then
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i
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else
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find as (i+1) v
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else
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i
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/--
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info: find.eq_def (as : Array Int) (i : Nat) (v : Int) :
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find as i v = if x : i < as.size then if as[i] = v then i else find as (i + 1) v else i
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-/
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#guard_msgs in
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#check find.eq_def
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/--
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info: find.eq_1 (as : Array Int) (i : Nat) (v : Int) :
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find as i v = if x : i < as.size then if as[i] = v then i else find as (i + 1) v else i
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-/
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#guard_msgs in
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#check find.eq_1
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