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.
34 lines
1.1 KiB
Text
34 lines
1.1 KiB
Text
mutual
|
||
inductive Tree (α : Type u) where
|
||
| node : TreeList α → Tree α
|
||
| leaf : α → Tree α
|
||
|
||
inductive TreeList (α : Type u) where
|
||
| nil : TreeList α
|
||
| cons : Tree α → TreeList α → TreeList α
|
||
end
|
||
|
||
def Tree.size : Tree α → Nat
|
||
| Tree.node l =>
|
||
-- see "TODO: linarith" in Init.WFTactics
|
||
have : sizeOf l < 1 + sizeOf l := by
|
||
rw [Nat.add_comm]
|
||
apply Nat.lt_succ_self
|
||
sizeList l
|
||
| Tree.leaf _ => 1
|
||
-- use automatically synthesized size function, which is not quite the number of leaves
|
||
termination_by t => sizeOf t
|
||
where
|
||
sizeList : TreeList α → Nat
|
||
| TreeList.nil => 0
|
||
| TreeList.cons t l =>
|
||
have : sizeOf t < 1 + sizeOf t + sizeOf l := by
|
||
rw [Nat.add_comm 1, Nat.add_assoc, Nat.add_comm 1, ← Nat.add_assoc]
|
||
apply Nat.lt_succ_of_le
|
||
apply Nat.le_add_right
|
||
have : sizeOf l < 1 + sizeOf t + sizeOf l := by
|
||
rw [Nat.add_comm 1, Nat.add_assoc, Nat.add_comm 1, ← Nat.add_assoc]
|
||
apply Nat.lt_succ_of_le
|
||
apply Nat.le_add_left
|
||
t.size + sizeList l
|
||
termination_by l => sizeOf l
|