lean4-htt/tests/lean/run/unfoldr.lean
Kim Morrison 3a457e6ad6
chore: use #guard_msgs in run tests (#4175)
Many of our tests in `tests/lean/run/` produce output from `#eval` (or
`#check`) statements, that is then ignored.

This PR tries to capture all the useful output using `#guard_msgs`. I've
only done a cursory check that the output is still sane --- there is a
chance that some "unchecked" tests have already accumulated regressions
and this just cements them!

In the other direction, I did identify two rotten tests:
* a minor one in `setStructInstNotation.lean`, where a comment says `Set
Nat`, but `#check` actually prints `?_`. Weird?
* `CompilerProbe.lean` is generating empty output, apparently indicating
that something is broken, but I don't know the signficance of this file.

In any case, I'll ask about these elsewhere.

(This started by noticing that a recent `grind` test file had an
untested `trace_state`, and then got carried away.)
2024-05-16 00:38:31 +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))
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]