lean4-htt/tests/elab/unfoldr.lean
Garmelon 08eb78a5b2
chore: switch to new test/bench suite (#12590)
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.
2026-02-25 13:51:53 +00:00

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notation "#(" a ")" => ⟨a, by decreasing_tactic⟩
def List.unfoldr {α β : Type u} [sz : SizeOf β] (f : (b : β) → Option (α × { b' : β // sizeOf b' < sizeOf b})) (b : β) : List α :=
match f b with
| none => []
| some (a, ⟨b', h⟩) => a :: unfoldr f b'
def tst1 (n : Nat) : List Nat :=
List.unfoldr (b := n) fun
| 0 => none
| b+1 => some (3*n - b*2, #(b))
#guard tst1 10 == [12, 14, 16, 18, 20, 22, 24, 26, 28, 30]
def tst2 (n : Nat) : List Nat :=
-- Similar example where we provide our custom `SizeOf` instance
List.unfoldr (sz := ⟨fun b => n - b⟩) (b := 0) fun b =>
if h : b < n then
some (b*2, ⟨b+1, by simp [sizeOf]; omega⟩)
else
none
#guard tst2 10 == [0, 2, 4, 6, 8, 10, 12, 14, 16, 18]
-- More general (and less convenient to use) version that can take an arbitrary well-founded relation.
def List.unfoldr' {α β : Type u} [w : WellFoundedRelation β] (f : (b : β) → Option (α × { b' : β // w.rel b' b})) (b : β) : List α :=
match f b with
| none => []
| some (a, ⟨b', h⟩) => a :: unfoldr' f b'
termination_by b
-- We need the `master` branch to test the following example
def tst3 (n : Nat) : List Nat :=
List.unfoldr' (b := n) fun
| 0 => none
| b+1 => some (3*n - b*2, #(b))
#guard tst3 10 == [12, 14, 16, 18, 20, 22, 24, 26, 28, 30]
def tst4 (n : Nat) : List Nat :=
List.unfoldr' (w := invImage (fun b => n - b) inferInstance) (b := 0) fun b =>
if h : b < n then
some (2*b, #(b+1))
else
none
#guard tst4 10 == [0, 2, 4, 6, 8, 10, 12, 14, 16, 18]